diff --git "a/data/dm_maths/full_data/1480_11255.jsonl" "b/data/dm_maths/full_data/1480_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1480_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the value of 19 + 4 + 676 + -627?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 1. Let y(n) = -20*n - 4. Give 4*m(j) + y(j).\nAnswer: -20*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3072, -6141, -9192, -12219, -15216?\nAnswer: -18177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28585*x**2 - 6786*x + 2 wrt x?\nAnswer: -57170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.5, 0.03, 719, -2\/581.\nAnswer: -2\/581, 0.03, 0.4, 0.5, 719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30291.3l to millilitres.\nAnswer: 30291300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 8*y**3 - 7*y**2 + 2*y - 8. Let b(f) = -7*f**3 + 7*f**2 - 3*f + 8. Let a(s) = -7*b(s) - 6*v(s). What are the prime factors of a(6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/87)\/(186\/(-65844)) + 23 + -19.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1138547376?\nAnswer: 2, 3, 701, 11279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5920, 5, 1, 20 in increasing order.\nAnswer: -5920, 1, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 + -18. Suppose -5*o - 20 = -u*o. Suppose o*x = 72 + 218. List the prime factors of x.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 648 by 216.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*w - 0*w. Let y(u) = 2 - 2*u - w. Let m(o) = o. What is y(m(i))?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 46.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27272980*y - 31770161 wrt y.\nAnswer: 27272980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 117 + -109. Solve -s*d + 16 = -12*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 19\/7 of a week?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -561 + 469.6. Let l = a + 91. What is the second biggest value in -4, -1\/12, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - (-3)\/(3\/10). Let b(o) = 44*o - 5. Is b(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20795787 and 219.\nAnswer: 1518092451","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(2\/11)))**(9\/5)\/(l\/((((l\/(l*(l**(-15)*l)\/l))\/l)\/l)\/l*l)*l**(-18)\/l) assuming l is positive.\nAnswer: l**(1723\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-3)\/(-45))\/(200\/(-125))*(269 - 3) and -113\/8928?\nAnswer: 8928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*w = -25. Let x(q) = -9*q - 60. Let v be x(-7). Put 2, w, -4, v in ascending order.\nAnswer: -4, 2, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-10) + (-40)\/50. Let d be -1*(2 + -2 - -1). Which is the nearest to d? (a) -2 (b) n (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 10 = 6*x. Solve 0 = 2*n - x*n - 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**5\/2 + 13365*i**4\/2 + 14770905*i**3\/2 - 255480945*i**2\/2 - 277610580*i - 142491336 = 0. Calculate i.\nAnswer: -2236, -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/4725*45*(-42)\/(-2)*(-14)\/2?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -14*y**2 + 2*y + 21. Let c(o) = -o + 1. Suppose 31*s = 36*s + 310. Let v = 64 + s. Let m(u) = v*c(u) + b(u). Find the first derivative of m(f) wrt f.\nAnswer: -28*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -17229, -68871, -154941, -275439, -430365, -619719, -843501?\n\"Answer: -17214*s**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 12*c**2 - 11*c + 4. Let u be d(-11). Suppose -3846 = -u*t - 2*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**3 - 22*q**3 - 55 + 55 + 2*q**3.\nAnswer: -21*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -575 - 111 + 317 - 2*n to the form l + c*n and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 a when four letters picked without replacement from {m: 2, z: 1, a: 1, o: 6, d: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 1233373?\nAnswer: 1233375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*f**2 + f**2 - 3*f**2)*(7114 - 38553*f**2 + 7113 - 14227) to the form b + a*f**4 + u*f**2 + m*f**3 + x*f and give a.\nAnswer: -38553","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1639243 a multiple of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16b (base 12) to base 7.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12366 and 60113874?\nAnswer: 541024866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 374 a factor of 15716602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 572.989657 rounded to the nearest ten?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 + (-82 - (8 + -74))?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1, -5, -183.\nAnswer: -183, -6, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - p**2 + 9*p - 7. Let g be i(2). Sort g, 0, 14 in increasing order.\nAnswer: g, 0, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12027324 rounded to two decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and 535?\nAnswer: 534.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2558320.4*0.09\nAnswer: 230248.836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 3*h + h - 4, p + 3*h + 6 = 0. Suppose -12*w - 3*w + 465 = p. What is the greatest common factor of w and 124?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -433 - -433. Let s(j) = j**3 - 2*j**2 - j + 511. What is the units digit of s(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104086, 104082, 104078, 104074, 104070, 104066?\nAnswer: 104062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 157*f + 50*f - 56*f + 115*f + 8*f as g*f + t and give g.\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 115 and 1354240?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, -1, 20842 in decreasing order.\nAnswer: 20842, -1, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**4 - 3716252*x**3 + 3716260*x**2 + 3716252*x - 3716256 = 0. What is x?\nAnswer: -929064, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 5176?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137 - 12758*l + 64 + 73.\nAnswer: -12758*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 74314573 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*o**5 - 25119579*o**3 - 11632*o**2 + 13*o + 235?\nAnswer: 120*o**2 - 150717474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23\/4? (a) -4\/7 (b) 3\/5 (c) 1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -3*k**3\/7 + 12*k**2\/7 + 12*k\/7 - 48\/7 = 0.\nAnswer: -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -626 - 1856 = 77*t + 906 for t.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71062418?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -16*n**3 + 185*n**2 - 399*n + 214. What is s(1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 37\/2 of a tonne?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uude when four letters picked without replacement from {u: 5, d: 1, i: 1, p: 9, e: 1}?\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/14 and (25515\/(-200))\/27 + 4\/(-10).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11289 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 175309\/30 - 2\/(-3). Let n = 5851 - t. Find the common denominator of n and (3380\/8)\/13*(-1)\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 13, b: 1, u: 1}. What is prob of picking 1 b and 1 h?\nAnswer: 13\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -464*u - 2074*u - 2324*u + 279660 + 70404 = 0 for u.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h + 115 = 10*h. Suppose -6*w + w = -425. Suppose -5*j = 5*r - 85, 4*r = -5*j + 2*r + w. Solve -5*g = -2*i + 19, -i + g + j = -h*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*f + 128*f + 550 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 5) to base 15.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2186 + 2191. Solve 3*v - 5*v = 2*k - 10, 4*v + w = k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -21, -40, -61, -84, -109?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 159*g + 7. Let l be a(4). Let j = l + -11537\/18. Find the common denominator of -13\/34 and j.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 292115.3 tonnes to kilograms.\nAnswer: 292115300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/3)*z**(-7)*z)\/(z**(2\/15)*z*z**(4\/7))*((z*z\/z**(2\/5))\/z*z)**(2\/97)*z**(-7)*(z\/z**(-2))\/z*z assuming z is positive.\nAnswer: z**(-41889\/3395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 98 - 93. Suppose t = 2*h - w - 0, 0 = 3*w - 15. Solve -5*r - i = -13, 0 = -h*r + r + i + 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v**2 + 5*v - 11. Let t be i(5). Let b = 58 - t. Let d = b + 82. Put d, 9, 5 in ascending order.\nAnswer: d, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 753*n + 6*a + 156 = 1497*n - 748*n, -5*n + a - 178 = 0 for n.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o + o + 15. Suppose 0 = o*y - 0 - 9. Solve -4*g + g = y for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 3*d**2 + 12*d - 5. Let b be q(8). Let o = b - -289. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3025235, -6050531, -9075815, -12101081, -15126323?\n\"Answer: x**3 - 3025303*x + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -214758 by -1746.\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4909, -9848, -14799, -19768, -24761?\n\"Answer: -n**3 - 4932*n + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1385\/4 + 347. Put -1\/3, -5, p, -0.2 in descending order.\nAnswer: p, -0.2, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39*(5 - -104*18\/(-351))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5008 - 5496 = -113*q - 30*q - 3068 for q.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144\/45 - 3 - (64\/(-5) + 2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49335540, 98671080, 148006620?\nAnswer: 197342160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 273273, 546548, 819823?\n\"Answer: 273275*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of l**2\/2 + 4. Let m(s) = -36*s - 1 + 4 + 18*s - 1 + 6*s. Calculate m(c) + 6*u(c).\nAnswer: -6*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: -3931 (base 14) to base 3\nAnswer: -111202211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 8*g - 1. Let u be n(7). Let f be 1\/(-3) + 17\/(-3). Let o be f\/15 - u\/10. Let j(l) = -3*l**2. Give j(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.519 + -33387.4.\nAnswer: -33398.919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2324213421 (base 5) to base 16.\nAnswer: 50efac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 92, 4, -3, 396?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213846 is divided by 8910?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**2 + w**2 + 3*w**2 + 3*w**2 - 3*w**2 + 3*w**2 + ((-5*w - 1 + 1)*(-1 + 1 - 1) - w - w + w + 2*w - 2*w - w)*(4 + 2 - 1)*(w - 4*w + 2*w).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 450.43 millilitres?\nAnswer: 0.45043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 11:55 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -5*d + 60. Calculate the remainder when 67 is divided by (d\/12)\/5*-69.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 229 - 224. Solve -3*s = -3*n - 24, -2*n + w*s = 14 + 11 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1901721*r**5 + 2000889*r wrt r?\nAnswer: -38034420*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2 + r. Let z(f) = -f - 1. Suppose -5*y = -3*k + 8 - 21, -4*y + 20 = 0. Suppose 2*v - 6 = -2*c, 3*c - 4 = k*v - 2. Determine v*z(i) + p(i).\nAnswer: 2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a microgram in nanograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4760 or 4758?\nAnswer: 4758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-13))\/((-297)\/858)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16081 + -16071. Let v = 0 + 6. Calculate the least common multiple of v and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13825\/150)\/(-79)*2.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-111)\/(-222))\/(-5*(-4)\/1960).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(9\/2)\/(o**(-16)*o)*o**7*o\/(o*o\/(o*(o\/o**(-12\/5)*o*o)\/o)) assuming o is positive.\nAnswer: o**(309\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 49 + 2*p - 21.\nAnswer: 2*p - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1517 + 139 = 12*s. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 + -2 - (-3 + (-2 - 2))) + (2 - -4).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, g: 2, c: 2, e: 8}. Give prob of sequence ecgr.\nAnswer: 8\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 18 from -0.0497.\nAnswer: -18.0497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**20)**(8\/3)*f**24\/(f\/f**(-2\/11)) assuming f is positive.\nAnswer: f**(-277\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49\/13, -309, 7 in descending order.\nAnswer: 7, 49\/13, -309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/((sqrt(24)\/sqrt(3) + sqrt(8))*3))**2.\nAnswer: 13\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56.8 + -171.23624094.\nAnswer: -114.43624094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from quuhulhulhhlhlu?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 360130774?\nAnswer: 2881046192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 1 = r + 15, 2*r = -2*y - 2. Let k be (-60)\/50*(-20)\/r. Let t(g) = -3*g**3 - 2*g**2 + g + 13. Does 18 divide t(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006953772 to 6 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*h = 4*s - 31, -3*s = 4*h - 24. Let p be 5\/2 + h\/(-6). Solve 0 = p*l - 0 + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8507 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2, 5*c + 9*q - 19 = 7*q. Let r(u) = -3838 + 3*u**2 + 2*u**2 - u**c + 2*u + 0*u**3 + 3843. Let m(a) = a**3 - 4*a**2 - 2*a - 4. Give 5*m(x) + 4*r(x).\nAnswer: x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 82 + ((2 - 50) + 13 - -6)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*p**3 + 14*p**3 - 22*p**3.\nAnswer: 17*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.11 + 2. Let v = 1.39 - m. Round v to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2981 - -0.0981. What is the closest to -1 in a, 3, 11, -40?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200 - 0?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -540 - -777. Does 3 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 29, 0.2, -0.1, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 42, 69, 96, 117, 126, 117?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 221698216 a multiple of 622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 r when three letters picked without replacement from drizbzrbbzizzzrbr?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 227 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15562715018 + 4077922928581\/262. Let z = v + -1876322. Let c = z - -5\/131. Find the common denominator of -73\/18 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 6*d**2 + 5*d + 4. Let m be h(5). Solve -4 + 4*u**3 + 4*u**2 - 2*u**4 + 2*u**2 + 2*u - m*u**3 - 2*u**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 12. Which is the smallest value? (a) 0.04 (b) 0 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 3*h - 3*h)*(64 - 11*h**2 - 64)*(-1 - 2 + 5) + 1805*h**2 - 1805*h**2 - 43*h**3.\nAnswer: 45*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5582 (base 13) to base 12.\nAnswer: -6aa8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 divided by -313?\nAnswer: -185\/313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/4 of a day?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 2. Let n be a\/(-4)*(-5 - -1). Suppose 2*i - n*k + 148 = 7*i, 96 = 4*i - 4*k. Does 14 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1388.695644 milliseconds?\nAnswer: 0.00000229612375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((5590\/4257)\/(-65))\/((5\/(-9))\/5)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -330230?\nAnswer: 330301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 357*o**2 - 6425*o + 3698863 wrt o.\nAnswer: 714*o - 6425","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 8:23 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 - 52 = 2*t. Let o be (6\/5)\/(t\/(-300)). Solve 3*z = z - o for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3882 + 421. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*l + 7, 4*l + 144008 = -3*t. Round t to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/1*(6\/4)\/(-3)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, a: 8, o: 5}. Give prob of picking 3 a and 1 o.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -555*i**3*s - 2298*i**3 + i**2 wrt s?\nAnswer: -555*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - w = 5 + 5, 5*w = -5. Suppose -u*v = -4*z - 22, -v - v - 4*z + 8 = 0. Solve 5*c = -5*f - 25, 2*c - v = 2*f + 4 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-121*h - 125*h + 225*h)*(-6 + 3 + 5).\nAnswer: -42*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**3 + 0*p**3 - 2*p**3 + (4*p**2 + 2*p**2 - 5*p**2)*(-4169*p - 125*p + 369*p) as s*p**3 + f*p**2 + w*p + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3888320 and 1015.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hm when two letters picked without replacement from cmhc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 103712571?\nAnswer: -103712576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) -2\/11 (c) 0.1 (d) 634 (e) 3 (f) -16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13b72 (base 12) in base 5?\nAnswer: -1340330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134740291?\nAnswer: 7, 31, 83, 7481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.23 - -0.27. Let j = l - 0.9. What is the closest to -1 in -3, 1\/6, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.19 and 76?\nAnswer: 77.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 6*l**2 - l - 6. Let n(i) = -5*i**3 - 23*i**2 + 3*i + 25. Let r(v) = 9*c(v) + 2*n(v). Let a be r(7). Let t be a\/15 - 2\/1. Is t greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27\/21350 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*(o\/o**(-1\/3)*o)\/o*o))**(1\/22)\/((o**(1\/6)*o)\/(o\/(o\/o**(-1\/9)))))\/(o**6\/(o\/(o\/o**(-2\/9))*o))**2 assuming o is positive.\nAnswer: o**(-1171\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 952 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10182, -10183, -10184, -10185?\nAnswer: -10186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4168100.200277 - 4168139. Let o = -38.8 - h. What is o rounded to five decimal places?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -906 - 435ba?\nAnswer: -441c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-16) + (-1)\/8. Suppose -2*n - n = a. Suppose 3*g = -0*i + 4*i + 6370, 2*g + i - 4265 = n. Round g to the nearest one hundred.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(21\/4)\/k**(-40) assuming k is positive.\nAnswer: k**(181\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 11 = 3*g. Suppose -g*v = -265 - 670. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = 2*y + 3. Let s(d) = d**2 - 9*d - 13. Let j be s(7). Let n = y - j. Solve -2*m - 4*h + 6 = 0, m - 5 = -n*h - 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280 is divided by 49.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1459?\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {k: 5, y: 7}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -146, 2, -7, 0, 3 in decreasing order.\nAnswer: 3, 2, 0, -7, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*j = -2*j - 20, -4 = -5*p + j. Factor p*s - 3*s**4 - 1\/2*s**3 + 0 - 4*s**5 + 0*s**2.\nAnswer: -s**3*(2*s + 1)*(4*s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nine sixteenths of a millennium?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 448404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000121047 rounded to 6 decimal places?\nAnswer: -0.000121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 32, 2\/2307, -0.2?\nAnswer: 2\/2307","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -525, 3, 14 in decreasing order.\nAnswer: 14, 3, 0, -3, -525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 13300000 to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 348 + -346. Suppose 3*m - 487 = -w*u, 16 = m - 3*u - 150. List the prime factors of m.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 344*p - 1049 - 6519 = 0 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1856\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -125641, -125612, -125583, -125554?\n\"Answer: 29*y - 125670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -1366*l - 148738. What is v(-109)?\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 217879907\/(-13) + -7 + (-4)\/26. What is u rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420827?\nAnswer: 11, 67, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -12330221 (base 4) in base 10?\nAnswer: -28457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2757497850 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (((-3)\/(-2))\/3)\/((-17)\/(-4216)).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 918495 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331981 is divided by 40.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 362*k**2 - 1768*k - 6067. Determine c(357).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cavaccca. What is prob of picking 2 c?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 469693 is divided by 3354.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x = -14*x - 136. Let j = -27 + x. Calculate the remainder when j is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.0184 + 0.0216. Let q = k - 518.04. Let d = 507.99999781 + q. Round d to 7 dps.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*p - 13391 = 14749. What is the remainder when p is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -18 + 32 + -18 + -6 + -5.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**4\/13 - 36*r**3\/13 + 122*r**2\/13 + 876*r\/13 + 720\/13 = 0. Calculate r.\nAnswer: -20, -3, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -115, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - j**2 - 3*j - 1. Let a be g(2). Let v be (4 + a + 0)*-4. Let x be (-6)\/v*90\/27. Solve 0*r + 3*r = -o - 9, -5*o - 25 = x*r for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 254, 441, 642, 863, 1110, 1389, 1706?\n\"Answer: q**3 + q**2 + 177*q + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vctqvcovtgog. Give prob of picking 2 t.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*44*702\/351.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j - 3*j + 0*j - 1)*(-2 + 0 - 7)*((-4 + 0 - 2)*(-4 + 4 + 1) + 1 - 2 + 0) to the form c*j + d and give d.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175 = 5*x - 4*r - 21, 3*x = -2*r + 100. What is the least common multiple of 2700 and x?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 85*b = 81*b + 6, -2 = -2*b for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + z**2 + 2)*(z**2 - 1 + 1) + (-4*z + z**2 + 4*z)*(-6*z**2 + 0*z**2 + z**2).\nAnswer: -4*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -355099 + 279107939\/786. Find the common denominator of -71\/22 and w.\nAnswer: 8646","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 z when three letters picked without replacement from kkzzz.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2788919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -11497.\nAnswer: -45988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 7, 4, -2 in descending order.\nAnswer: 9, 7, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 146, 320, 564, 878, 1262, 1716?\nAnswer: 2240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 10:04 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6149?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8920)\/((-1)\/3*84\/(-56)). What is c rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0188 - -0.01880042. What is x rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*z = -18*z. Sort z, -1, 1.\nAnswer: -1, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -52e - -42a?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -144, 238, 504 in descending order.\nAnswer: 504, 238, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 158 = 3*v, v - 6*v + 10 = 0. Let l = -33 + y. What is the third biggest value in l, -1\/3, 0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -28739 from 1369.\nAnswer: 30108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000033183895 rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 9:38 AM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.4353 from 100.\nAnswer: 101.4353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 8 = -7*s - 64 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6666\/395 or -18?\nAnswer: -6666\/395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**2 + r - 5. Let w be 2 + 1\/(-2)*4. Let p be i(w). Which is the biggest value? (a) -4 (b) p (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127, -115, -143, -247, -463, -827, -1375, -2143?\nAnswer: -3167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 218 = 2*u - 6*u, -5*d + 501 = u. Suppose -3*s + 5*m - 298 = -0*s, -2*m + d = -s. Let f = s + 156. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1010 + 896 = 19*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v - i - 28, 1597 = -4*v + i + 1601 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and -82670911581.\nAnswer: -82670911580.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 0, 0 = g - 7*n + 2*n - 5. Let w(d) = -5*d - d - d + g*d. Let s(j) = 3*j. Give 3*s(x) + 4*w(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(4\/5)*j)**(-18)*(j*j\/(j\/(j**11\/j)))**(3\/47))**(1\/7) assuming j is positive.\nAnswer: j**(-7449\/1645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/9? (a) 4\/3 (b) -1 (c) 0.1 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 42*u + 26 = 83*u - 45*u, 4*f + 15*u = 52 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (36 - (-59 + 167)) + 131\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 43 = 2*v + 5*m, 16 = -v - 4*m. Let y be 0 + 3*(-28)\/v. Let h be (3 - y)*15\/(-12). Solve -h*u + 26 = 6 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iwwwzzwzwzttw. What is prob of sequence tzi?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 76241926 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -3. Suppose z*s + s - 65 = 5*d, 4*d + 4*s + 52 = 0. What is d rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*o**2 + 236*o**2 + 123*o**2.\nAnswer: 246*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 31\/29 - 62514\/(-17516)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3082 in -3, 27, -1, 2\/15?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 3916569?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 2:27 AM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 2206460 to the nearest 10000.\nAnswer: 2210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/1695303 and -79\/32273546.\nAnswer: 871385742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 n when three letters picked without replacement from {z: 1, u: 3, n: 6, l: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.1 + -3. Let w = h + -0.1. Let o = 94 - 93. What is the closest to w in -3\/5, -1\/2, o?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2. Suppose -2*a + 7*a = 20. Let r(n) = 8*n**2 - 10*n - 10. Let m(p) = p**2 - p - 1. Let v(q) = a*r(q) - 40*m(q). What is c(v(j))?\nAnswer: -64*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*t**5 + 3516252*t**4*y**3 - 75*t**2*y**2 - 9*t**2*y + 2*t*y**3 + 3*y**2 wrt t.\nAnswer: 240*t**2 + 84390048*t*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/30 in -4, 5.49, -0.4, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3854 - 3854 - 7*j.\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 16 = 5*a, 2*k = 3*a - 2 + 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221228 is divided by 459.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.63685 + -0.66. Round m to three dps.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5147 - -14457. Round a to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(8\/(-6) + 2). Suppose -4 = -2*w + 6. Suppose -u = -5, 0 = 5*j - 2*u + 6*u + 5. Put w, j, n in decreasing order.\nAnswer: w, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4343318 millennia in months?\nAnswer: 5211.9816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 84e91 (base 16) to base 7\nAnswer: 4425114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*x - 6*x - 15. Solve 2*l + x*d - 13 = 15, l - 3*d = -8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1431*m - 669*m - 477*m - 15450 = 12480 for m.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 + -5 + (0 - -1). Let z be g - (51\/24 + -1). Which is smaller: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(3\/8)\/a)*a\/(a**2*a)*a)**(-10\/7))**(1\/31) assuming a is positive.\nAnswer: a**(-25\/868)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f - 23*f = -12*f - 208 for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 19*s. Let c(o) = -39*o. Let y(z) = -6*c(z) - 13*t(z). Let p be y(-14). Let i = p - 63. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/2)*j*j\/((j*j\/(j\/(j*j**10)))\/j))\/(j*j*j**(-13)*j*j**(-3\/5)) assuming j is positive.\nAnswer: j**(1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of -20*((-4905)\/(-72))\/(1\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 115424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -1481*l - 12813. Determine z(-9).\nAnswer: 516","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 2*h + 3. Let p be o(-4). Let l be (-115)\/25 + 2\/p. Let x = 0.6 + -0.9. What is the third biggest value in l, 4, x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5965148 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-10) - 0\/(-2). Let y = 47\/21 + -18\/7. Let c be 11\/(-22) - 3\/2. What is the closest to y in -1, c, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 0*b**2 - 5 - 1 - 7*b. Let j be l(8). Find the first derivative of -18*r - 2*r**j + 18*r + 5 wrt r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 417845406 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11440141 + 13?\nAnswer: 11440204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -12*i**2 + 56*i + 18. Let s be a(5). Let c(n) = -9*n**2 - 2*n - 4. Let f(y) = 4*y**2 + y + 2. What is s*c(g) - 5*f(g)?\nAnswer: -2*g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4923174 and 430729.\nAnswer: 1949","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47017 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 563, 552, 543, 536, 531, 528, 527?\nAnswer: 528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 593252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3795317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305021?\nAnswer: 305021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -4270143 and -4270141 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**2\/5 + 54*y\/5 + 144\/5 = 0.\nAnswer: -24, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -2 (b) 5 (c) 3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/2, 13, 1\/7, 19, 3\/7?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 59763*h - 358586. Calculate o(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/10*20\/8. Suppose 3*t - r = -5*j, 5*t = -4*j - 0 - 1. Let x be (-2 + -3 + 2)*t. Solve 0 = -x*f - 2*b + 8, 3*f - 6 = -3*b for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/450*-5 - (104\/(-180) - 8\/36)\nAnswer: 11\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 688*g + 1137*g + 439*g to the form u*g + l and give u.\nAnswer: 2264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2 - 3*b - 2. Let r = -50 + 56. List the prime factors of d(r).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3055, -2929, -2721, -2431, -2059?\nAnswer: -1605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(4\/9)*q*q*q**8*q)\/(q*q\/q**(13\/5)*q*q**(1\/25)))**(-4\/19) assuming q is positive.\nAnswer: q**(-9904\/4275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j - 12*j = 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 0 = 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 661 (b) -14\/27 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m**3\/4 + 15*m**2\/4 + 14*m = 0. Calculate m.\nAnswer: -8, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6626778, 6626784, 6626790, 6626796, 6626802, 6626808?\nAnswer: 6626814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 13. Let s = 2 + -1. What is the nearest to 1\/2 in g, 0.5, s?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 549*q = 15068 - 2990 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -1, 1, -0.9, -2220646?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -543*m - 94495. What is f(-174)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -2262?\nAnswer: -2261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24088216.8943 - -24090828. Let v = 2611 - a. Round v to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3653060110 + -3?\nAnswer: 3653060105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70371 is divided by 154.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 3*k + 15*k + 5*k**2 + k**2 - 8*k**2 to d + x*k**2 + s*k and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 253, 0.4, 0.1, -28?\nAnswer: 253","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 6*o**3 + 5*o**2 - o. Let a(k) = 5*k**3 + 5*k**2 - 2*k - 1. Let u = -233 + 341. Let l = -112 + u. Let r(s) = l*q(s) + 5*a(s). What is r(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -801b - 0?\nAnswer: -801b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/2))**11)**(-1\/52)*(a\/((a\/((a\/a**(-1))\/a*a))\/a)*a*a**(1\/2))\/(a\/a**0)**45 assuming a is positive.\nAnswer: a**(-4201\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*g - 8*g = 8, -g - 15 = -3*p. Let w(j) be the first derivative of -20\/3*j**3 + 8 + j**p - 16*j + 16*j**2. Factor w(a).\nAnswer: 4*(a - 2)**2*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 7*z - 2241. Let j be o(44). What is the biggest value in -1, j, 0.207, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*c = -30. Suppose -4*f = -2*u - c, -15 = 3*u + 2*u. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -r**3\/3 - r. Let d(s) = -s - 4. Let w be d(-7). Let b(f) = f + 2*f - f - w*f. Determine i(b(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-28))\/(18\/16). Let g be ((-24)\/84)\/((-7)\/(-49)). Which is the nearest to g? (a) z (b) -3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 8*l + 21. Let v = -117 + 129. Let f be z(v). Let p = 18 + f. Is 15 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + (-2*(3 + -2 + 1*sqrt(2736) + 6*(-1 + sqrt(2736))))**2).\nAnswer: -3360*sqrt(19) + 536353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (24\/((-168)\/(-35)))\/((-1)\/(-175))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1168, -1146, -1120, -1090, -1056, -1018?\nAnswer: -976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/16 and -103\/12464.\nAnswer: 12464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/915 and (-2511)\/594*22\/(-36).\nAnswer: 3660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15362 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6004304 (base 8) in base 16?\nAnswer: 1808c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 15 = -0*f. Let q = -16\/5 - f. Which is the biggest value? (a) q (b) 4 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.30133 nanograms in micrograms?\nAnswer: 0.00830133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131251 divided by 2.\nAnswer: -131251\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 27992.07340833 and -10?\nAnswer: 28002.07340833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03086 rounded to three dps?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 12*m + 5. Let i be r(-11). Let f(d) = -15*d. Let b(x) = 7*x. Let h(u) = i*f(u) - 13*b(u). Let t(c) = 9*c**2. What is t(h(n))?\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, -8\/11, -209.35, 0.04, 2?\nAnswer: -209.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q**3 - 11*q + 4. Let m(o) = -3*o**3 + 12*o - 5. Calculate 5*m(i) + 6*n(i).\nAnswer: 3*i**3 - 6*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -8*y**3 - 2*y + 10. Let x be a(3). Is -1 + (-4 - -4) - x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6126 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.016 + 0.01599662. What is s rounded to seven decimal places?\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -2 + 0 + (19 - -37 - 94)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 12881.067 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -13934024527 plus 5?\nAnswer: -13934024522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3399*g**3 + 4*g**2 + 3. Let w be y(-1). Calculate the highest common factor of 26 and w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80325568 to the power of 1\/3, to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 1306*b**2. Let r(j) = 73*j. Calculate n(r(q)).\nAnswer: 6959674*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 6*a + 4*q - 208, q = -5. Let o = a - 34. Is o a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-144945)\/(-250))\/9 + (-116)\/(-1450) + 11\/(-2)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 8:10 PM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 122*a**2 - 24*a + 633. Let y(r) = -62*r**2 + 13*r - 317. Let g(n) = -6*i(n) - 11*y(n). Differentiate g(s) with respect to s.\nAnswer: -100*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -968*l + 885. Is h(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 2*y. Let c be j(-3). Suppose -g = -4*i - 36, -6*g + 3*g + i = -141. Suppose b = -c*b + g. Solve 5*t + b = t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of 1\/26*w**4 - 1\/130*w**5 + 0 + 0*w**3 + 0*w**2 - 20*w. Factor l(o).\nAnswer: -2*o**2*(o - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 10*v + 66 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*c**4 + 3028*c**3 + 18630*c**2 + 31536*c + 7560 = 0 for c.\nAnswer: -210, -3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 20702343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -115800, -231684, -347566, -463446, -579324, -695200?\n\"Answer: s**2 - 115887*s + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3656066 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*l - 9*l - 11*l - 12*l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.5, 5 in ascending order.\nAnswer: -2, -0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -31*p + 1734. Calculate the least common multiple of q(14) and 18.\nAnswer: 11700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*n - 19 + 19)*(-247*n**3 + 879 - 879).\nAnswer: -1976*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 14\/5, -5, -1\/11, 2\/363, 0.3?\nAnswer: 2\/363","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.06 (b) 0.3 (c) 4 (d) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9093.\nAnswer: 3, 7, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f + -256?\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 391*g + 314*g + 705 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 33. Let q = 6.3 + j. Let l = -0.3 + -0.1. Put -3, l, q in ascending order.\nAnswer: -3, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -98*q**3*r**2 - 597*q**3 - 3*q*r**3 wrt r.\nAnswer: -196*q**3*r - 9*q*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26823, 25996, 25123, 24210, 23263?\nAnswer: 22288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vx when two letters picked without replacement from {v: 3, n: 5, x: 1, k: 3}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 3 = 3*y, -5*s + 2*y + 5 = -0*s. Let b = -1610 + 1611. Suppose -2*d - 2 = -4*p + d, 0 = -p + 2*d - 2. Sort b, s, p in ascending order.\nAnswer: b, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*l - 23 - 77. Solve -l*n - 6 = -2*n - 4*v, 0 = -2*n - v + 14 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 339312548?\nAnswer: 2, 84828137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 816384 is divided by 204093?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13742 to the power of 1\/2, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, s: 3, k: 1, r: 5}. Give prob of picking 2 z.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 15 = -4*u + 60, -5*u + 20 = -k. Suppose 0 = u*r - 15382 + 1982. Let i = -21477\/8 + r. What is the common denominator of -9\/4 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, o: 4, f: 8}. Give prob of picking 1 o, 1 e, and 2 f.\nAnswer: 112\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 1559.2?\nAnswer: 1562.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 428147*b**5 + 500923*b.\nAnswer: 8562940*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 318 + -513. Let z = l + 110. Is -84 greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 5994.\nAnswer: 29970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - ((-28 - -27) + (-6 - 1)). Solve 2*a - 3*r + d = 0, -3*a - r + 14 = -7*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zoest. Give prob of sequence ez.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 + 50. Suppose -g*m + 11*m + 20 = 0. Solve -3*v + 1 = 5*o, 2*o + m*v - 4 - 4 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 5*w**4\/4 + 5*w**3\/6 + 5*w**2\/2 - 9*w. What is the units digit of x(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9795210 is divided by 657?\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 divided by -2523134?\nAnswer: -50\/1261567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8762 divided by 1?\nAnswer: 8762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 4*l = 60, l + 192 = 5*c + 221 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101210121 - -2?\nAnswer: 101210200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.87 + -5.869999479. Round g to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*k = 101512 - 15722. List the prime factors of k.\nAnswer: 5, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 23 - 276536*u.\nAnswer: -276536*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.022982 + -0.00887. Round l to 4 decimal places.\nAnswer: 0.0141","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38267 a multiple of 144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91942472?\nAnswer: 2, 11492809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 17 + 53 = 0. Suppose -28 = 3*v + r, -58 = 4*v - 4*r - m. Let j(w) = -w**2 - 11*w - 23. Let a be j(v). Which is bigger: a or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 196\/(-20) + 3\/(-15). Let d = -39 - h. Let m = d - -68. Is m a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -706 and 52.\nAnswer: -654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 + -1.7. Let p = n + 2.5. What is the second biggest value in -1, 1\/3, p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -110, 0.055, -4\/5, 9\/5, -1?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -3 + 7, 2*n + 4*q - 14 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 3034 - 2975 - b)*(5*b - 4*b + 0*b)*(3 - 3 - 4*b) + (4 - 2 - 3)*(b**3 - 4*b**2 + 4*b**2).\nAnswer: 3*b**3 - 236*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -28359200571745 and 0.5.\nAnswer: -28359200571744.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 621315 is divided by 1554.\nAnswer: 1269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o - 7 + 4*o + 6 + 161*o**3 + 96*o**3 to the form t + d*o**2 + w*o**3 + p*o and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/345)\/((-4)\/10). Let w = 899.7 + -899.5. Which is the closest to -1\/6? (a) 4\/3 (b) y (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179 = 47*z - 85 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -41, -156, -455, -1028, -1965, -3356?\n\"Answer: -15*m**3 - 2*m**2 - 4*m - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26354, -26342, -26332, -26324?\nAnswer: -26318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166431837 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.04 + 0.26. Let v = -0.3 + l. Which is the biggest value? (a) 0.2 (b) v (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3023321085?\nAnswer: 3, 5, 22394971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/12309 and 16\/1507293.\nAnswer: 16580223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -3*v + 15, v - 17 = -81*l + 76*l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4568 - -4568.00001378. What is t rounded to 6 dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3794325407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -60 (c) -0.06 (d) -0.5 (e) 2\/7 (f) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -163, -162, -161, -160?\n\"Answer: q - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(170))\/(-2*sqrt(30)\/sqrt(3)).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/2 + (-10)\/(-4). Let j be -3*(-5)\/15*2. Suppose 81 = 3*f - r - 3*r, 0 = -2*r. Solve j*s + 5*d + f = 0, v*s + s = -2*d - 14 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) 0.07 (c) 3\/4 (d) 5.25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 394 (base 14) to base 13\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14094 - -14171. What is the remainder when 388 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r - 7. Let a be j(12). Let p = 16 - a. Does 14 divide p\/2 - (-106)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*f - 13 + 29 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4864, 4865, 4866, 4867?\n\"Answer: x + 4863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2387*d**3 - 155*d**2 + 155*d. Let z(b) = -31*b**3 + 2*b**2 - 2*b. Suppose 0 = 9*i - 27*i - 65*i + 166. Determine i*n(w) + 155*z(w).\nAnswer: -31*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5*((-44)\/(-55) - (-1)\/(-5)). Suppose 0 = -k*z + z - f + 19, -f + 35 = 4*z. Solve -4*p + 0 = -z for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1119107 divided by 1\nAnswer: 1119107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2537 and 172?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0702 and -116.\nAnswer: 8.1432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + w = -0*i - 9, 3*i - 3*w = 21. Let d = 2 - -6. What is the highest common divisor of i and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*(-3)\/6 - (-4 - -5). What is the units digit of (-1*(-6 + 37))\/(2\/q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*i**3 - 501*i**3 - 205*i**3.\nAnswer: -562*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38871*t**5 + t**4 + 293733*t**2 wrt t?\nAnswer: 2332260*t**2 + 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 7*u - 6. Let g be f(-4). Let a = -325 - -461. Suppose -2*w + g*w = a. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/8 - (-1955)\/(-92). Let d = l - -24. Let f = -4\/57 + -6\/95. Which is the third biggest value? (a) f (b) -2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) -250\/11 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.526541 rounded to two dps?\nAnswer: 2.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37 and 333?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p - 768 + 768.\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 471*s + 23220. What is m(45)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a gram in milligrams?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -9 + 0 + 3 + 0. Let k(s) = 5*s**2 + 3*s - 11. Let b(r) = -r**2 - r + 3. Let u(g) = q*k(g) - 22*b(g). Factor u(x).\nAnswer: -4*x*(2*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -50*g**4 - 7235*g**3 - 33125*g**2 - 31410*g + 12600 = 0. Calculate g.\nAnswer: -140, -3, -2, 3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/3)*(p*p*p**(-6))\/p)**46 assuming p is positive.\nAnswer: p**(-736\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 296 and 259.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 + x**2 - x**2)*(1524*x**2 - 3*x - 764*x**2 - 759*x**2)*(-5 + 2 + 2).\nAnswer: -x**4 + 3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + h - 2*h + 813, -17*j + 6968 = -3*h. Solve 4*t - 437 = -j for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33054 + 33054 - 880*s.\nAnswer: -880*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -338, -599, -860?\nAnswer: -1121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5 = 4*m, 3*u = -2*m + 1 + 6. Let o = -8 + 6. What is the biggest value in u, -0.2, o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3983919?\nAnswer: 3, 1327973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + 22 + 8 + -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 627 + -635.36. Let b = m + 8.36. Let y = -15 - -27. Which is smaller: b or y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3330211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 52009*j + 572063. Calculate r(-11).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22638 and 6860?\nAnswer: 226380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229659?\nAnswer: 3, 37, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 265.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -480, -1710, -3644, -6276, -9600, -13610, -18300?\nAnswer: -23664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -88 - 29. Let s = -70 - b. What are the prime factors of s?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of 0*s**6 + 2\/105*s**7 + 1\/6*s**3 + 0 - 6*s**2 + 0*s**5 + 0*s**4 + 0*s. Find the first derivative of j(q) wrt q.\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5*n = 101, 0*u - u - 4*n = -36. Suppose r + m = 14, m - 5*m + u = 2*r. Calculate the greatest common divisor of r and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -1924*v - 602221. Give k(-313).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millimeter in micrometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4, 3*z - 32 = -z - 4*w. Let a(k) = -6*k + 125. Let d be a(20). Find the second derivative of -z - 5*p + 2*p**d + 4 - 5*p**5 wrt p.\nAnswer: -60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 269b4 (base 13) in base 4?\nAnswer: 101210210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42.7 + 41. Let w = r + 9.7. Let u = 6 - w. Which is the biggest value? (a) 0 (b) -0.5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30545 + -1343879\/44. What is the common denominator of z and 3\/1 - 387\/(-324)?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-38 + 9 + 10).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*q)*(2827 - 2827 - 1602*q**2) + (0*q**2 - 2*q**2 + 4*q**2)*(-q + q + 2*q).\nAnswer: -3200*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - (-10 + (-124)\/(-2)))\/((-2)\/2). Solve 77*x - 66*x = j for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2629 - 2434. Calculate the remainder when 1158 is divided by w.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*f - 39*f + 1 = 0. Put f, -3, 5, -5 in decreasing order.\nAnswer: 5, f, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 14961*o + 14933*o + 0 - 4.\nAnswer: -28*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.98782 - -3.00491. Let y = h - 2.006. What is y rounded to three decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 6.2. Let h = 19.8968 - 19.9. Let p = h + -4.9968. What is the smallest value in p, -1\/4, z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 14\/3, -5, -1663, 79?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/8 + (-2)\/(-8). Suppose 4*w = 1 - 5. Let q = 5 + w. Solve -a = -q + k for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1368 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -d**6\/120 + d**5\/12 + d**4\/24 + d**3\/6 + 39*d**2\/2 - d. Let f(c) be the first derivative of g(c). Give f(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -247*n*r**3 + 3*n*r**2 + 44*r**2 - 2*r wrt r?\nAnswer: -1482*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c + 16. Suppose 0 = -5*p - 15 - 35. Let t(b) = 3*b + 23. Let d be t(p). Let u be w(d). Do 3 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.02 + -0.28. Let d be 4\/14*4\/(-8). Let g = 1 + -2. Which is the nearest to g? (a) 0.2 (b) x (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5578 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1220872727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f + 0*f**2 - f**2 - 3*f + 0*f. Let m be n(-5). Let t be (3 + 1)*2\/4. Solve -t = -c - m for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4116 + 0.1116. Let s be 15\/(75\/10)*4\/2. What is the closest to -0.2 in h, s, -5, 3\/14?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 5 (c) -15 (d) -2\/15 (e) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + s = -7, 3*s - 2*s - 7 = -3*n. Let l(u) = -u**3 - 5*u**2. Let h be l(-5). Let p = 3 + 2. Put p, n, h in descending order.\nAnswer: p, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001789687 to six dps.\nAnswer: -0.000179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.504401l in millilitres?\nAnswer: 2504.401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4765 - -42959\/9. Calculate the common denominator of k and (1 - 14)*22\/36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7563042*u**3 - 22*u + 514145063.\nAnswer: -22689126*u**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 615 divided by 5\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u**2 + 1. Let j = 6 + -5. What is the least common multiple of 40 and r(j)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**2. Let l(d) = -121*d**2 + 44*d - 44. Let f(v) = 8*v**2 - 3*v + 3. Let s(m) = -44*f(m) - 3*l(m). Determine r(s(q)).\nAnswer: -242*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 233*v**2 - 6*v + 16*v - 10*v in the form w*v**2 + i + p*v and give w.\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = q - 115, -f + 5*f = -4*q + 100. Let b = f + 66. Calculate the remainder when b is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 p when two letters picked without replacement from pycypap.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11782, 23623, 35502, 47419, 59374?\nAnswer: 71367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 - 13. Let r be -2*(1\/(-2))\/(-1). Let o = r + y. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-508)\/308 - 148\/518\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -627 - -1568. Suppose 4*w - d + 382 = -h, 2*w - 2*d + 666 = 0. Let p = w + 472. Is p a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-45) + (-91)\/(-78) + 6654\/(-180) + 3.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 - 32. Suppose o*y - 6 = 642. Suppose y = -20*a - 8. Which is bigger: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 59459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -91, 4, 11, 0.3, 0 in ascending order.\nAnswer: -91, 0, 0.3, 4, 11, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sqqscsqsc. What is prob of sequence sqqq?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18224 - -18224.04858. Round q to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.9, 4, 2, 25995, 0.2 in decreasing order.\nAnswer: 25995, 4, 2, 0.9, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**2 + 9*j - 4. Let x be h(3). Let s(t) = t**2 - 4*t - 5. Let u be s(x). Solve -9*y + 5*y + 4 = u for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1139888.\nAnswer: 2, 191, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2675*s. Let i(b) = b**2. Give i(p(d)).\nAnswer: 7155625*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 91*m + 3. Let q be -4*(-3 - -4 - 2). Let c be v(q). Suppose -t - 283 = -3*u, -5*u + 3*t + 98 + c = 0. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a8a94 (base 12) in base 8?\nAnswer: 663020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, 2\/3, -3\/5, 5\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 12*j**2 + j - 1. Let c(z) = z**3 - 10*z**2 + z - 9. Let t be c(10). Calculate k(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 186 and 436424169?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3b2253 (base 13) to base 14\nAnswer: 294266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2050*i*r**3 + 5*i*r**2 + 14 wrt r?\nAnswer: 12300*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.9 + 0.1. Let l = 0.8 - n. Let d be (12\/2)\/(-2) + (-220)\/(-77). What is the third smallest value in -4, d, l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-18) + 20\/9. Suppose -y*i = -1 - 5. Suppose 0 = 3*b - 4*k - 3, 8*k = i*k. Solve -2*f - 2*a = 18, a = -3*f - b - 18 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -56225375 less than or equal to -56225374?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -3. Let d = -4078.7 - -4079. What is the closest to -1 in d, 3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i**3 - 4. Let b(h) = 21 + 23 + 11*h**3 + 26 - 6*h**3 - 75. Calculate -5*b(x) + 6*t(x).\nAnswer: -x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*y + 10\/9*y**2 - 4\/9.\nAnswer: 2*(y + 1)*(5*y - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3802.3 - 3803. Let k be ((-126)\/40 + 3)*4. Sort -0.3, k, i, -2.\nAnswer: -2, i, k, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/12307?\nAnswer: -1\/12307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 116946803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1a (base 15) to base 11\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 5. Let h = -2195 + 2203. What is the smallest common multiple of y and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/6, -0.06, -475997?\nAnswer: -475997","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*q - 9. Suppose t - q*t = 0. Suppose -4*d - 2*c + 186 = -t*d, 5*d - 4*c - 252 = 0. Calculate the greatest common divisor of 12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j - 13 + 1656*j**2 - 1464*j**2 + 11. Let h(d) = -2*d. What is z(h(k))?\nAnswer: 768*k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3 + (5 - 1 - 3)*(-1 + 5 - 2) - 30 + 42 + 34)*(-2 + 2 + 2*b**2).\nAnswer: 100*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = v + 30. Let x be ((-8)\/(-5))\/((-8)\/v). Let q = 2.4 - 0.4. Which is the closest to -1\/2? (a) x (b) q (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w + w = 1014. Calculate the remainder when 306 is divided by w.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4 = -5. Is -14*3*i\/6 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -70702 + 70701. Let d(x) be the first derivative of -x**3\/3 - 7*x**2\/2 - 5*x + 1. Let l be d(-6). What is the second smallest value in 5, m, l, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 23 = -c. Calculate the remainder when c is divided by (8\/(-10))\/(-4) - (-102)\/15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-14)\/(-4))\/(146\/(-8)). Let f = -107255\/4462563 - -351\/2911. Let x = v + f. Which is bigger: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.82 - 4.32. Is r less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 4:50 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-6)*45\/(-10). Let f(w) be the third derivative of -w**5\/20 + w**4\/12 + 2*w**3\/3 - 13*w**2. Calculate f(u).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 12*h + 3. Let v be l(12). Suppose x - v*y + 60 = 4*x, -5*x = y - 80. Suppose -d = -2*d + x. Does 4 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**5 - 285057919*f**3 + 68233320*f wrt f?\nAnswer: -20*f**3 - 1710347514*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**3 + 1465*f**2 - 83269*f + 268. Give d(53).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 155\/42 and -73\/112?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of 0 + 86*z + 0*z**3 - 5\/4*z**4 + 0*z**2. Let p(q) = -4*q**2. Give p(j(f)).\nAnswer: -900*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -5 - (-52 + -8 + (22 - 12))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 36*g**2 + 73*g + 107. Calculate j(38).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/36, 2, -3\/7, -4 in ascending order.\nAnswer: -4, -3\/7, 1\/36, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1934 is divided by 1833.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**2. Let v(j) = 1590*j. Determine t(v(o)).\nAnswer: -5056200*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1501421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 111184 + -111186. Let z = -0.3 - 0.7. What is the nearest to z in l, -2\/3, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 25 = 5*a, 10 + 15 = -a - 5*h. Suppose a = -19*z + 11*z + 1160. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 399*v - 390*v - 28*v**2 - 13*v**2 - 9*v**2 + 8 + 4 - 11.\nAnswer: -50*v**2 + 9*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jbbtttjjbbbtjbtbbbb. What is prob of sequence tj?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6165*y**2 - 2247*y**2 + 913*y**2 - 1604*y**2.\nAnswer: -9103*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 17 = -2*y + 34, 2*y = -2*a + 14 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3840 = -17*h. Let u = h + 395. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-132)\/21 - (-2)\/7. Let x(m) = 25*m + 3*m**2 - 20*m + 2*m**2 - 2 - 4*m**2. What is x(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -50*r + 5. Let l(v) = -1. Determine -j(s) - 6*l(s).\nAnswer: 50*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) - (sqrt(130) - (3*sqrt(130) + sqrt(130)) - sqrt(130))*1)\/(sqrt(110)\/(sqrt(55)\/sqrt(5)))*6.\nAnswer: 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 - -27 - (2 + 1)) + 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 1 (c) 133\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/8 - (-5)\/20. Let h be 9 - 5 - (u - -2). Factor 0*o**2 + 0 + 1\/3*o**4 + 0*o - 1\/3*o**h.\nAnswer: o**3*(o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from zzjhaszajszjjahza?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n - 6. What is k(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 12:16 AM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2533 is divided by 376.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -f**8\/280 - 5*f**4\/24 - 5*f**3\/6 + 2*f**2. Let k(i) be the first derivative of h(i). Differentiate k(m) with respect to m.\nAnswer: -24*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 21 + 9 = 0. Let a(v) = -2*v**3 - 9*v**2 - 34*v - 142. Let d be a(-6). Suppose 0 = -4*p + i*p - 2*o - 68, 0 = 5*p + 4*o - d. Does 17 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 82 = -48. Let t = -44 - s. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 + 4*m + 5. Let b be k(-4). Let l be (-1402)\/384 - b\/(-7). Let r = l - 1\/64. Sort r, -1\/13, 5.\nAnswer: r, -1\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (86 - 49)*(21 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3904784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 + 0.7. Let i = -0.029 + -1.321. Let k = i - -0.25. Which is greater: v or k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 146250, 146240, 146230, 146220?\n\"Answer: -10*u + 146260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17220 and 4380?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 2*r - r)*(-2 - 2 + 0) + (3*r - 4*r + 0*r)*(-1 - 3 + 6).\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (91*n**3 - 3889*n + 1087*n**3 + 3890*n)*(-5 + 3*n + 5).\nAnswer: 3534*n**4 + 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p - 236 = 109. Suppose p*t = -14*t. Let x(r) = r**3 - 6*r**2 - r + 6. Let d be x(6). Solve t = -d*m + m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 40, 348, 1206, 2896, 5700, 9900?\n\"Answer: 47*u**3 - 7*u**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(-42)*(-4)\/(-3). Let j = -5 + -6. Let q = -9 - j. Sort b, q, 0.3.\nAnswer: b, 0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 + -33. What is the smallest value in 2, 0.1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mll when three letters picked without replacement from myyylmmmmmmmlmm.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*b + 39*b - 4*y + 5 = 16*b, 2*b - 168*y = -830 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 31, 10\/9, -0.091?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1212 and 73698690?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 22 = -5*q, 5*q = 2*i - 15 - 4. Let k(w) = 2*w + 12. Let c be k(q). Suppose 12*d - 810 = c*d. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17999 times -112?\nAnswer: -2015888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -29 + 37. Suppose 3*y + 0 = v*u + 2, u - 3*y + 5 = 0. Suppose 7 - u = l. What is the greatest common factor of 4 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three eighths of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -2*p, f + 2*p = -4. Calculate the least common multiple of 6 and (24 + f)*(-1 + 2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/(-6) - (-4950)\/(-216) and 31\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*n = 16, -k = 4*k + 2*n + 8. Suppose 0 = -5*r - 5, k*c - 4*c - 2*r = -66. Let s = -6 - -15. Calculate the remainder when c is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5258.\nAnswer: 2, 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3 - 3 - 13*b - 7 + 0 with respect to b.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (38 + 13294*o - 13296*o + 204)*(-3*o + o + 0 - 2) in the form d*o + l*o**2 + i and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 9. Let u = 138 - 138. Solve u = 5*m + n*i + 9, -6*m + 4*i - 36 = -2*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 4*f - 8 = 0. Which is the third biggest value? (a) -0.4 (b) 5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 79*m - 2524. Let w be v(32). Solve -w*t + j + 0 = -4, 2*t = -4*j + 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2\/8 - 13473*j\/4 + 60507243\/8.\nAnswer: 3*(j - 4491)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*((-108)\/6)\/72?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 35\/2906 (b) -9 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -3. Let y be (q - 2\/(-2)) + 0. Suppose -9 + 3 = -y*i. Solve 4*c - 45 = 5*j, j - i*c + 9 = -11 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.02 + 2.02. Let g = -2 + m. Let f = 64\/85 - 6\/17. Which is smaller: g or f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*sqrt(120) + sqrt(120))\/sqrt(8) - sqrt(15))\/(sqrt(432)*3))**2.\nAnswer: 5\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2 - f + 1. Let g be d(1). Let v(n) = n**2 + n + 1. Let r(m) = 8*m**2 + 6*m + 7. Let c(w) = r(w) - 6*v(w). List the prime factors of c(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 375517307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*c**2 - 4*c**2 - 10 - 2*c**2 - 6*c + 11*c**2 - 7*c as l*c + a + o*c**2 and give o.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 greater than 304?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5109 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38810029 is divided by 1490?\nAnswer: 1489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -144*k - 1248. Is 22 a factor of y(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + a389?\nAnswer: a388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.08091 or -1.35?\nAnswer: -1.35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 180 - 84. Let x = p + -91. Which is the third biggest value? (a) -3 (b) -0.03 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 951, 1, 1\/2 in decreasing order.\nAnswer: 951, 1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/336 and ((-3)\/(-90)*98)\/((-15)\/25*2).\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1134077 or -1134064?\nAnswer: -1134077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -14, -73, -192, -389, -682, -1089?\n\"Answer: -3*l**3 - 12*l**2 - 2*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -97207413\/1498322 - -3179\/49. Let n = 15961721\/152890 - k. Solve 648\/5*f**5 - 166\/5*f**3 + 32\/5*f**2 - n*f**4 + 0 + 8\/5*f = 0 for f.\nAnswer: -2\/9, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 30. Suppose r*s - 10*s = 0. Suppose 2*j + 4*n + 18 = s, 6*j + 5*n + 20 = j. Calculate the highest common factor of 1 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 481*k - 14011. Calculate m(29).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x**2 - 18*x - 4*x**2 + 3*x**2 in the form l*x + z + a*x**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 22*m**2 - 4*m + 2. Let z(k) = -k**3 - 7*k**2 + 2*k + 26. Let s be z(-6). Does 15 divide j(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3068841031.873 plus 0.006?\nAnswer: -3068841031.867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-1 + 4)) + 4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -42, 1 in descending order.\nAnswer: 1, -3, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12279, -12281, -12283, -12285, -12287?\nAnswer: -12289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1616, 3222, 4830, 6440?\n\"Answer: p**2 + 1603*p + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 25*f**2 - 43*f - 1099. Let l be k(-25). Let d(m) = 2*m - 45. Give d(l).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7, -20, -33, -46, -59, -72?\n\"Answer: -13*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 106997*d**3 + 3460740*d**2 wrt d?\nAnswer: 641982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2169 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 4*w**2 + 4*w - 12. Let v be (-2)\/(-3) - 20\/3. Let g be k(v). Calculate the highest common divisor of g and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*r + 3*r - 2*r - 4*r.\nAnswer: -13*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -3 - (7 + -9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of y**6\/21 + 8*y**5\/35 + y**4\/14 - 20*y**3\/21 - 4*y**2\/7 + 16*y\/7 + 41. Factor q(t).\nAnswer: 2*(t - 1)**2*(t + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148.904 litres in millilitres?\nAnswer: 148904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 129319505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2146870, -4293737, -6440604, -8587471, -10734338, -12881205?\nAnswer: -15028072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5556413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 101\/(-858) - 8*(-9)\/396. Suppose 6*v + 5 = -1. Which is bigger: v or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 852 and 581916.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u**3 + 0*u**3 + 9*u**3)*(-17*u + 13*u - 9*u) to g*u + j*u**4 + z*u**2 + w*u**3 + l and give j.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 3:21 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2 - 16*u + 54. Let j(t) = -t**2 + t + 1. Let w(d) = -4*j(d) + l(d). Factor w(i).\nAnswer: 2*(i - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -388891\/122000 - -1\/7625. Calculate the common denominator of h and 27\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -3, 1, 5 in decreasing order.\nAnswer: 7, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 5*x + 30. Let w be -7*(x\/(-7) + 0). Let b = -9 + w. Solve 2*y - 17 = b*l, 3*y + 3*l = 4*l + 8 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 h when four letters picked without replacement from ffzwhwhhzhf?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -2. Let x = -15.9888 - u. Round x to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v + 1. Let d(w) = -w. Suppose -3*h + 45 = -81. Let y be 2*(-1)\/6 - (-140)\/h. Let m be 6\/18 - ((-4)\/6 + y). Give m*b(a) + 9*d(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -872085055*j**3 + 203548013*j?\nAnswer: -5232510330*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7312639?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l**3 - 4*l**3 + 2*l**3 + (0*l + 0*l + 2*l + (-3 - 1 + 2)*(2*l - l + l))*(-10*l**2 - 4*l + 4*l) to f + j*l**2 + k*l + r*l**3 and give r.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*g = -104*g - 2*h - 1079806, -3*g = h - 1619685. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 4 = 2*w, -2*w - 3*o + 8*o = 10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003839427 rounded to 6 decimal places?\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Is 5950227893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 0*l = 5*y - 155, -3*l = -5*y + 187. Let t = y + -36. Put -16, 2, t, 3 in increasing order.\nAnswer: -16, t, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/(-105) + (-124)\/(-30). Suppose 127*c + 19 - 132*c - 15*c**2 + 5*c**3 - r = 0. Calculate c.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-44 - (-16 - -6)) + 111\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y + 5*m + 21 - 12, 7 = 5*y + m for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6 - (-4)\/(-18)*18438\/28. Let f = r - -153. Factor 0 + 1\/3*g**4 - f*g + 1\/9*g**5 - 1\/3*g**3 - 11\/9*g**2.\nAnswer: g*(g - 2)*(g + 1)**2*(g + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6602852897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 183130 and -0.04.\nAnswer: -7325.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -176, -351, -526, -701, -876, -1051?\n\"Answer: -175*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 848 = -3*r, -10*b = -14*b - 3*r + 3347. Is b a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3 = -11. Let d be (-8)\/m*6\/(-8). Suppose -z - 298 = -d*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*s**2 - 11*s**2 + 2*s**2 - 7*s)*(2*s - 2*s - 2*s).\nAnswer: 2*s**3 + 14*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 7*h - 1070 = 0. Suppose g + 136 = -h. Find the common denominator of (5\/(-25))\/((-8)\/g) and -43\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 86. Is (142\/(-4))\/((-6)\/i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -10953632?\nAnswer: 10953631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*p + 12*p**2 - 4*p + 2*p + 5*p - 1 to the form j + k*p**2 + q*p and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1859853066 to the power of 1\/2, to the nearest integer?\nAnswer: 43126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/2, -4, 1\/432, 5, -6?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 10*c**2 + 31*c + 109. What is the remainder when o(-13) is divided by 39?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -30 + 12 + 8 + 11 - p**2. Let n(t) = t**2 - 10 - 7*t**2 + t**4 - 15*t**4 - 4. Let r(b) = n(b) - 6*v(b). What is the derivative of r(w) wrt w?\nAnswer: -56*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u - 5. Let k = -9 - -16. Let m be h(k). Find the third derivative of g**5 - 8*g + 4*g**m + 8*g wrt g.\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 679018?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4.7535 - -1.5\nAnswer: 6.2535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.4 - -6. Let t = i - -0.2. Let n = 407\/42 + -69\/7. What is the closest to t in n, -0.5, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15142 and 968.\nAnswer: 7328728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1 - (-6)\/(564\/(-133)) and 89\/8.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -400, -538, -676, -814?\nAnswer: -952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -234, -538, -842, -1146?\nAnswer: -1450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 6*z + 15, -2*g + 4*z = -28. Let c be 50\/g + (-3)\/(-6). Calculate the greatest common factor of c and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.47 minus 7731?\nAnswer: -7731.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 278\/37?\nAnswer: 278\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 445663 to the nearest integer?\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(7) + sqrt(28)\/sqrt(4))*-4)**2.\nAnswer: 11200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 69907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*n + 2*n. Suppose 3*t = n*c + 3*c + 21, 0 = -c - 3*t + 3. Let s be (4 - 6)*(c + 1). Solve 2*p = 3*p - s for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -165 - -351. Suppose 3*f - 4*f + p = -33, -5*f - 2*p = -d. Suppose -o = -4*b + f, 4*b - 5*o - 21 = 31. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**2 - 7*r - 10. What is the tens digit of l(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/45 of a day?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 73045.7 and 89.\nAnswer: 6501067.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/(-75))\/((-27)\/(-45))*-4?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yiy when three letters picked without replacement from {e: 1, k: 6, y: 5, i: 5}?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8604840 and 36.\nAnswer: 25814520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -5\/3, 1, 0.5 in descending order.\nAnswer: 1, 0.5, 0.3, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 5*v + 5*v)*(1 + 6 + 12)*(-1 - 3 + 0)*(0 - 3 + 5).\nAnswer: 152*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 34 = 2*m, -3*m + 1 = c - 0*m. Let n be 279\/6 + (-12)\/c. Determine z so that -n + 0*z - 9*z**3 - 3*z**3 + 43*z + 3*z**4 + 5*z = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - v + 15 = -0*v, -3*w + v + 20 = 0. Suppose -20 = 4*y, -2*y + 6*y + 80 = w*t. Calculate the highest common divisor of t and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 78*v - 7*v + 21*v to n*v + y and give n.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3869?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -6. Let t = -19 - -18.8. What is the third biggest value in -2, t, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o + 2 - 2*o**3 - 7*o + o - 6 + 2*o to the form n*o**2 + a*o + q*o**3 + w and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2550 and 138975.\nAnswer: 277950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a second in microseconds?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 63, 0, 80 in decreasing order.\nAnswer: 80, 63, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.575475 to three dps.\nAnswer: 8.575","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 583083102.\nAnswer: 2, 3, 7, 17, 97, 8419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 4 = -2*r - 3*g, 2*g + 106 = 5*r. What is the greatest common divisor of 10 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.051? (a) 10 (b) -20\/11 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2 + 13*m - 4. Let d = 76 - 74. Let y be (3 + d)\/(2 + (-8 - -7)). Let f(l) = 3*l**2 + 14*l - 5. What is y*g(u) - 4*f(u)?\nAnswer: -2*u**2 + 9*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -737 and 7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 0, -39590?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3632*q**4 - 3072*q**2.\nAnswer: -87168*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2416 is divided by 174.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -64*x**3 - x. Let p be a(1). Let h be 63\/(-28)*952\/(-21). Let r = p + h. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from peyepyyeyypyy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -111 + 113. Suppose 0 = o - 3*o + 4. Calculate the greatest common factor of o and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -23333, -93521, -210501, -374273, -584837, -842193?\n\"Answer: -23396*n**2 + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.236+-45.1\nAnswer: -44.864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338 is divided by 39.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4*g**3 - g**2 + g + 2. Let c(q) be the third derivative of q**6\/120 - q**4\/24 - 2*q**2 + 2*q - 325. What is -5*c(n) - o(n)?\nAnswer: -n**3 + n**2 + 4*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -58 + 98. Suppose -9*t + 5*t = 2*l + 62, 0 = 3*t - 3*l + 51. Let d = w + t. What is the remainder when 89 is divided by d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c - 12*c - 14 - 11*c**2 + c**3 + 22*c**2. Let n be (-35)\/3 - 0 - (-18)\/27. Is 54 a factor of q(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (0 + 1)) + 4 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 103459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + -3)*(-5)\/(-5). Let y(h) = -h + 2. Let s be y(n). Find the second derivative of 0*p + 0*p + p**4 + s*p - p wrt p.\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 548 is divided by 177?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-1 - 3 - (-31 + 35))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/6 - (-168)\/36. Suppose 3*d - 12 = -z + d, l*z - 5*d = 0. Solve -z = -g + 1 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33986.6372 to the nearest ten.\nAnswer: -33990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(468) - sqrt(468))\/sqrt(12))\/sqrt(243) + 1)*-4.\nAnswer: -4 + 8*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 + -61 - (-1 + 7 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 6. Suppose -s - r*s = -39. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -12\/5, -42436, -1\/6?\nAnswer: -42436","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*m**3 - 10*m**2 - 3*m - 32*m**4 + 7*m**2 + 2 + 0*m**2 + 2*m**3 wrt m?\nAnswer: -384*m**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) 61 (c) -1 (d) 1\/5 (e) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + 32. Let h(k) = 5*k + 5. Let m be h(4). Let t = c - m. Calculate the greatest common factor of t and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i - 11. Let z be x(9). Is 7 a factor of z*(-2)\/(-5 - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/3))**(-42))**(-46) assuming y is positive.\nAnswer: y**(-1288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 5*d + 4. Let r be w(-5). Suppose -r*i + 7 = -17. Is i a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 2*y + 3*f, 4*f - 116696 = -57*y - 116740 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*q + 7*q - 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b + 2. Let k be v(2). Let y be (-1 + (-3)\/k)*13. Let s = y + 3. Sort 5, s, 2.\nAnswer: s, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n + 8. Let a be l(6). Suppose -2*s + 3*u = -u, u - 10 = -a*s. Suppose -o + 113 = 4*o - 3*y, -s*o + 2*y + 90 = 0. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -221302436 by -68219.\nAnswer: 3244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yct when three letters picked without replacement from {c: 2, v: 2, t: 3, y: 6, b: 6}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-13))**(-2\/7)\/(r*r**(3\/7)*r*r**(-2)))**25 assuming r is positive.\nAnswer: r**(575\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 1, -50667, -2 in ascending order.\nAnswer: -50667, -3, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 534728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 147\nAnswer: -4\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 934186490 to the nearest one hundred thousand.\nAnswer: 934200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**(-3)\/l)\/l)\/l)\/l**(2\/3))\/((l\/(l\/(l**(1\/4)\/l)))\/(l\/l**(-7\/2)*l)) assuming l is positive.\nAnswer: l**(-5\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 4*v + 26. Let k = -12 + v. Calculate the remainder when k is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/615)\/(66*10\/(-4950)).\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63594 is divided by 63579?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s - 3. Let i be h(-2). Let r = 11.04 + -13.6. Let g = r - -2.6. Is g not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55 + -95. Let u = -66 - p. Let s = u - -25.7. What is s rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - s. Let a(m) = m**2 - m + 3. Let f be a(s). Suppose -3*w - 7 = f*n - 4*n, -4*n + 6 = -w. Put 2, n, 0 in ascending order.\nAnswer: 0, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30420394.\nAnswer: 2, 2017, 7541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5*m**2 + 4 + m**2 + 3*m**2 + 4*m**2 - m**3 + 4*m. Is z(4) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2434\/261 + 264\/29. Let f = 11 - 7. Suppose -10 = -3*l - f. Which is the third biggest value? (a) h (b) l (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 5*g + 461 = 0, -4*r + 89 - 547 = 2*g. Let y = -96 - r. Let k = -17 + y. Solve c + 1 = -h, 0 = 3*h + c + k - 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 1:09 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 5:45 PM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 0 - (2 - (-9 + -21))) + (0 - 1)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 29\/6 + (-2)\/6 + -4. Sort 0.35, 1\/3, -3\/2, z in ascending order.\nAnswer: -3\/2, 1\/3, 0.35, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 4 - 5)*((-2*v + v - v)*(-2 - 5 + 2) - 4 - 5 + 3 + v).\nAnswer: 11*v - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*q**5 - 17*q**4 - 871799*q**3 - 46*q**2 - 110808*q + 2 wrt q?\nAnswer: 180*q**2 - 408*q - 5230794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -23*j. Let b(l) = 13*l. Calculate b(c(g)).\nAnswer: -299*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1196 and 286?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3285650 is divided by 6532?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**3 + 11*p**2 + 13*p + 9. Let a(i) = -i**3 - 6*i**2 - 7*i - 5. Let m(y) = -11*a(y) - 6*j(y). Let w be m(0). Put 2, w, 3 in decreasing order.\nAnswer: 3, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 - 658866688*o - 54263164069511168.\nAnswer: -2*(o + 164716672)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -23, -19, -13?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 0 = -0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 143976 = p, -p - 4*i = -551 - 143428. Suppose -5*r - 71975 = x, -2*x - 6*r = -r + p. Round x to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 1100.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324302?\nAnswer: 2, 11, 14741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*t**2 + 5207*t + 5211*t - 10430*t)*(-9*t**2 + t**2 - t**2).\nAnswer: -288*t**4 + 108*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - f + 35401 = -2*o, 44235 = -5*o - 2*f. Round o to the nearest 100.\nAnswer: -8800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4\/7)\/w*w*w**(3\/11))\/(w**15*w**(-2\/5)) assuming w is positive.\nAnswer: w**(-5736\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**3 - 3*b**2 - 5*b + 3. Let i be (-25)\/(-9) + (-2)\/(-9). Let r be v(i). Suppose 0 = -3*u + 6*u - r. What is the remainder when 39 is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 15 = w, 5*w - 19 = -0*c - c. Suppose -c*r + 10 = -38. Solve -r = 3*k + 3*z - 0, -16 = 3*k - z for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -940 - -10326\/11. What is the common denominator of -32\/5 and h?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-12)*239400\/6650.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25100 is divided by 1878.\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of z**5\/20 + z**4\/8 + z**3\/2 - 2*z**2. Suppose 2*y - 16 = 4*w, 5*y + 3*w - 8 = -33. Determine j(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.8 (b) -1\/9 (c) 2\/13 (d) -1\/5 (e) 3 (f) 0.12 (g) 61\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*q + 2*q. Suppose 5*y + 4249997 = -0*y + i, 0 = y - q*i + 849994. What is y rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 147883331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40068.4167 - 40071. Round k to two decimal places.\nAnswer: -2.58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11\/2*(17 - 3).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-24)\/16*(-12)\/9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12815 and 66487715.\nAnswer: 731364865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27 - 1.9.\nAnswer: -28.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/11 + 2146*i\/11.\nAnswer: 2*i*(i + 1073)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 230, 3, 16 in ascending order.\nAnswer: 2, 3, 16, 230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -89, -124, -155, -182?\nAnswer: -205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 - 35.36. Let t = i - -0.387. Let u = -0.02699953 + t. What is u rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.036 and 0.03606 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 13. Let b be 1\/1 - 18\/(-4). Which is bigger: g or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*x + 53*x - 26*x - 33 to y + o*x and give y.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 80*v**3 - 6*v**2 + 4*v + 8. Let f be l(7). Suppose -12*x - f = -85382. Round x to the nearest 100.\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 16 = 2*q + d, 18 = q + 3*d. Let j = -1 + q. Suppose j*z - 2*z - 900000 = 0. Round z to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-140)\/(-6) - (-2)\/3. Calculate the highest common factor of 12 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 526159?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -1\/2*u**2 + 0*u**3 - 2 - 1\/90*u**5 + 1\/36*u**4 + 0*u. Let g(n) be the second derivative of x(n). Factor g(q).\nAnswer: -2*q*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -54, -2, 2, -23 in ascending order.\nAnswer: -54, -23, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 1000*g - 13481. What is h(13)?\nAnswer: -481","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3031 in 3\/5, 13, 3, 2\/7, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4619560 and 4840?\nAnswer: 50815160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 5*z - 5, -w = w - 3*z. Let m be (84\/49)\/(2*w\/21). Suppose 3*s - 5*u = 1 - 3, u = s. Solve -7*n + s = -m*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1060902, 2121826, 3182748, 4243668, 5304586?\n\"Answer: -m**2 + 1060927*m - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 (base 9) in base 11?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 364*c - 448. Does 56 divide x(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*2*(2 + (sqrt(48) - ((sqrt(96)*2)\/sqrt(2))**2)*-6).\nAnswer: -192*sqrt(3) + 9232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 20 = 7*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (-29 + 67 + -33 - (61 - 1))\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 10 = z + b, 2*z = -4*b + 28. Let s = 34 - z. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.9 plus 4.2434408658?\nAnswer: 11.1434408658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0273294009 and -761.\nAnswer: -761.0273294009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -366 (b) 41 (c) -17 (d) 2.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 24 = -4*k, -39*g = 2*k - 34*g - 14 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1910*x**3 - 1 - 10 + 9667*x**3 + 8.\nAnswer: 7757*x**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(4\/((-2)\/(-1))). Solve -i - 4*k - 4 = d, i + 5*k = -i - 2 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*u - 439501 = 582403. What are the prime factors of u?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mw when two letters picked without replacement from {j: 1, w: 6, m: 10}?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 - -3. Let c = g - -3. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7868194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -161 - -157. What is the hundreds digit of (-200)\/(-2 + a + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3387, -6856, -10495, -14388, -18619, -23272?\n\"Answer: -14*n**3 - n**2 - 3368*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -51591 or -50221?\nAnswer: -51591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 + -20. Suppose -s - s + z = 0. Suppose 57*n - 252 = 39*n. Which is greater: n or s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 685981\/37 - 18540. Which is the second smallest value? (a) 2\/41 (b) j (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31\/(9300\/320)*((-252)\/(-70))\/((-32)\/60).\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -2 + 5 + 7 + (-9 - -12) + -16\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15623977 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 189051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4422192, -8844374, -13266556, -17688738?\nAnswer: -22110920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -6669853.379 to the nearest one hundred.\nAnswer: -6669900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -842*v + 6349 - 28241 for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50348, 101418, 152488, 203558, 254628, 305698?\nAnswer: 356768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -249 - -270. Does 8 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 36586.97 millilitres?\nAnswer: 36.58697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (42 + 32 + -30)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -348*v**3 + 2*v**2 + 12*v + 27. Does 17 divide a(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in centimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -6 + 660 + -1 + -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-48)\/(-70) + 46\/(-161). Let t be ((-53)\/55 + 1)*-5. Which is the third smallest value? (a) t (b) m (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-0.137\nAnswer: -0.0685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1834954.\nAnswer: 2, 11, 83407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000011717 to 6 decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3844113863?\nAnswer: 31, 124003673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*d + 49946 - 12721 = 0, 5*v + 5*d - 46520 = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -7*g + 1. Let j = -203 - -196. Let r(q) = -22*q + 3. What is j*z(d) + 2*r(d)?\nAnswer: 5*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -105 + 106. Let q = -1 - 0. Sort 3\/4, s, q.\nAnswer: q, 3\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - -3 - 1) + -1. Suppose -r*h + 80 = -h. Suppose 5*n - 107 = 288. Calculate the remainder when n is divided by h.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 + (-16 - 107) + -177?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 283405 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vpn when three letters picked without replacement from {p: 2, n: 4, v: 5, d: 5, w: 3}.\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 758, 779, 814, 869, 950, 1063, 1214?\nAnswer: 1409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*r - 9 - 2, -4*r = 2*q - 4. Which is the smallest value? (a) r (b) 2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/63 and 149\/30.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 111338704, 222677398, 334016092?\n\"Answer: 111338694*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -28 (base 9) to base 6\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 10 = 0, -2*f = 3*u - 52 - 19. Let n = 106 + -62. Suppose 3*g = 6*g - 2*y - 22, y - n = -4*g. Calculate the remainder when f is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z**2 + 402*z + 12698. Give t(-83).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/552 or 0?\nAnswer: -11\/552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.145 + 0.045. Let v = -2.9 + -1.1. Put f, -5, v in decreasing order.\nAnswer: f, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274452976.\nAnswer: 2, 7, 37, 103, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 3:54 AM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 less than or equal to 1718\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 141328 and 1752.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u + 4. Suppose -7*t = -2*t. Determine x(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pkkpeeapaeekaaeeruak. Give prob of sequence raek.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + -4)\/(-2*(-7)\/(-42)). Suppose i*f - 10589 = 18046. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pssxszssssszssszz. What is prob of sequence sszs?\nAnswer: 33\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-3\/14)*b*b\/(b*b**(-9)))**(-2\/33) assuming b is positive.\nAnswer: b**(-157\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -12*j**3 + 6*j**2 + 7*j. Let y(z) = z**2 + z**3 - 2*z**2 - z + 0*z. Let q(s) = h(s) + 6*y(s). What is the second derivative of q(g) wrt g?\nAnswer: -36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 100132 + 33?\nAnswer: 100205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -3. Suppose 118 - 282 = -u*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/12*(4\/2)\/(-2).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7294279457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -24 (b) 7 (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 105 = -c. Calculate the remainder when c is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4573217, 4573201, 4573167, 4573109, 4573021, 4572897, 4572731, 4572517?\n\"Answer: -f**3 - 3*f**2 + 4573221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 724000 is divided by 309?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 12) in base 8?\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 10:12 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3288*x**2 - 1 + 4*x**3 - 3289*x**2 - 58*x + 2*x**3 - 7*x**3 + x**4 to the form r*x**4 + b*x**2 + t*x + w + n*x**3 and give t.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 802*f + 4866. Let c be o(6). Solve 20 = 3*m + m, -4*x - 2*m = -c for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)*-1)\/sqrt(5) - ((sqrt(637) - sqrt(637)*-1)**2 + sqrt(637)).\nAnswer: -2548 - 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 + -44. Let g be (-2)\/(-6) - (-22)\/6. Is 2220\/28 + g\/w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c = -w - 20, 5*c + 5*w = -7921 + 7926 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17212?\nAnswer: 2, 13, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1662415 a multiple of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 353931259 a multiple of 1335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -4 - 11. Find the first derivative of k*p + 19*p**4 - 108 - 3*p + 94 wrt p.\nAnswer: 76*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6.562 (b) -5 (c) 21\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-10) - 10\/(-25). Suppose 4*l + 4*h = -h - 5, h = 4*l - p. Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1666\/(-141610)*(-10)\/(-1).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + j - 4*j + 30, -3*j = t. Let z be (-9)\/t + (-88)\/(-20). Suppose -80 + 68 = -12*f. Solve -2*g - f = -g, -z*g - 5 = -3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 4:23 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**4 + 72*k**3 - 8*k**2 + 19552*k wrt k?\nAnswer: -12*k**2 + 432*k - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 5*q + 78 = 0. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/143 (b) 42 (c) -0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -291 - -428. Calculate the remainder when g is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-188)\/(-8) + (-3)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0100470783 to six dps.\nAnswer: -0.010047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1085 - 134210?\nAnswer: -133114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 + 45. Suppose -x*u = -16*u - 405. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c*(c\/c**1)\/c*c)**(-38))**(-1)*(c**(1\/5)\/(c\/(c\/((c*c*c*c**(4\/3))\/c))))\/((c\/(c*c**(-6)))\/c*c**(-4)) assuming c is positive.\nAnswer: c**(1648\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 825487063?\nAnswer: 229, 3604747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 2*w**2 - 10*w - 3. Let r be i(-4). Let x be 297\/r - (-6)\/10. Suppose 2*c - x = -18. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -27*o**3\/5 + 20589*o**2 - 80046*o\/5 - 22872\/5 = 0.\nAnswer: -2\/9, 1, 3812","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3*f**2 + 3)*((-5 + 5 + 5*f)*(-112 + 112 + 24*f) - f**2 + 0 + 0*f**2 + 2) to r*f + j*f**2 + q*f**3 + c + n*f**4 and give n.\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, -2, 1\/3, -5, 2.715, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10*(-579)\/(-6) + (-16)\/(-8). Suppose 0 = -6*l + q + 65. List the prime factors of l.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -349, -1994, -4691, -8434, -13217, -19034, -25879, -33746?\nAnswer: -42629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 15, l: 4}. Give prob of picking 3 l and 1 t.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of 5*o**3\/3 + 103*o**2 - 40*o + 43. Determine d(-21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1235 and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 5*t**9\/9072 - t**8\/336 + t**6\/54 - 74*t**3 + 74. Let g(k) be the third derivative of h(k). Determine b so that g(b) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 749 = 5*b, 0 = -5*g - 3*b + 262 + 941. Calculate the remainder when g is divided by 52.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -6*g + 9*g + 85, 5*g + 25 = 0. Let j = 17 + -11. Suppose -j*q + 10 = -q. Which is the closest to -2? (a) 2\/7 (b) q (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 207?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3655 - 1139. Let s be 4\/(-14) + f\/(-119). Calculate the greatest common factor of 90 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335 is divided by 111.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -772 = 3*s - 7*s. Suppose -3*h - 19 = -s. List the prime factors of h.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7603653641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 1 = -2*i, -2*i - 5 - 6 = -5*s. Suppose -i*y + 72 = -12. Suppose -4 = -14*g + y*g. What is the least common multiple of g and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 22 = 4*x, -4*d - x = d - 15. Suppose d*y = 2*z + 108, y - 3*y + 5*z = -120. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 30*s*u + 152837*s - 3007*u wrt u?\nAnswer: 30*s - 3007","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -177 or -208?\nAnswer: -208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*p**2 - 12*p**2 - 20*p**2 + (-2 - 3 + 6)*(3*p**2 - 3*p**2 - 2*p**2) - 1 + 1 - 13*p**2.\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 2*f = 20, 5*f = -2*t + 8. Let n be (6\/(-10))\/(t\/(-4)). Let x = -173\/1503 - -2\/501. Which is the nearest to n? (a) x (b) 1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7161738*z + 346249*z - 7309713*z + 1772387*z.\nAnswer: -12352815*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -13*x - 55. Let p be f(-5). Suppose p*v - 2826 = 2354. List the prime factors of v.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1500*g**3*m**3 - g**3*m*r + 28*g**2*m - 55*m**3 + 6*m**2*r - 205049 wrt m?\nAnswer: 9000*g**3*m - 330*m + 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r + 34. Calculate the lowest common multiple of 32 and n(13).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1778137\/566532 + 4\/15737. What is the common denominator of z and -67\/32?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.03025 + 0.036611. What is z rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g**2 - 84*g - 81. Calculate r(22).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 3. Let y(p) = p**2 - 1. Suppose 2*f = 2*i - 2*f - 2, f + 2 = 0. Let k(t) = i*y(t) - h(t). Let a(g) = 6*g - 5*g + 17*g. Determine a(k(v)).\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-21)\/(-6)*(-4)\/(-7). Let h = 6 - u. Solve -2*z = 2*x - x - h, -3*x + 1 = -5*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(216) + (sqrt(216) - (sqrt(216)*-2*-3 - sqrt(216))))*-3)\/(((sqrt(12)\/sqrt(4) - sqrt(3))*4 + sqrt(3) - 1*sqrt(147))*3).\nAnswer: -5 - 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35*-121303.\nAnswer: -4245605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 17*l**3\/3 + 13*l + 1430. Let s(w) = -w**2. Give y(s(m)).\nAnswer: 17*m**4 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 171400022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 397.3691 weeks in minutes?\nAnswer: 4005480.528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*a + 17*a + 92*a - 275*a.\nAnswer: -284*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 4*n**2 + 9*n + 7. Suppose -16*h = -22*h - 6. Let s be ((-17)\/4 - 2) + h\/(-4). Give k(s).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**3*r - 11*j**3 + j**2*r + 219*r wrt j.\nAnswer: 6*j**2*r - 33*j**2 + 2*j*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q - q + 2*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39822008*o*r**4 + 216*o*r**2 - 169*o*r + 7*o + 6*r**2 - 2 wrt r.\nAnswer: 955728192*o*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14677 + -5?\nAnswer: 14672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -245?\nAnswer: -253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 68 + -40. Suppose z = -p + 267. Suppose -2*t = -l - p, 17 = t - l - 102. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 70*m + 1224. Let h be j(39). Let g(o) be the second derivative of -17\/2*o**3 - 9*o**2 + h*o - 5\/4*o**4 + 0. Factor g(v).\nAnswer: -3*(v + 3)*(5*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-42 + 10)*(-8)\/(-4). Sort 4, r, 8.\nAnswer: r, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, w: 1, r: 1, n: 1, d: 1}. What is prob of sequence gdn?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2686, 2698, 2722, 2764, 2830, 2926, 3058, 3232?\n\"Answer: x**3 + 5*x + 2680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*m + 72*m + 1752 = 0 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -107957 - -9025?\nAnswer: -98932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67 + 183*g - 183*g + 2 - g**2.\nAnswer: -g**2 + 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4412*t + 144 + 2236 = 4246*t - 940 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v**2 - 42*v + 22. Calculate the remainder when 453 is divided by x(-14).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 25 + -7 + -15?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-12)*v**7*v**(2\/7)*v**3)**37 assuming v is positive.\nAnswer: v**(-444\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 928756426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 1 - 6. Let v be 15\/(1\/(-1))*6\/81. Which is the closest to 2\/3? (a) v (b) h (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -h**5\/20 - 3*h**4\/4 + 5*h**3\/3 + 27*h**2\/2 - 6210*h. What is s(-10)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-8) - 1826\/(-8). Let h = 233 - 109. Let n = r - h. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/13097 and 25\/833.\nAnswer: 1558543","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 10 (b) 4 (c) -1 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n\/(((n**(-8)*n*n)\/n)\/n)))*n**(-1\/2)*n*n\/n**2*n**(-2\/19))**(-39) assuming n is positive.\nAnswer: n**(-12441\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344 is divided by 167.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -318 divided by 391\nAnswer: -318\/391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, r: 8, e: 4}. Give prob of picking 4 e.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-6)*(-3)\/1. Let w(j) = -9*j**2 - j - 17. Let b(l) = 3*l**2 + 0*l**2 + 2*l**2 + l + 9. Let x(h) = 11*b(h) + 6*w(h). Give x(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1547 + 0?\nAnswer: -1547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -298 less than 373625082?\nAnswer: 373625380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2384 + 388 = -2*c + 4*s, 5*s = -2*c + 1960. Suppose 11*k + c = 6*k. Let o = -90 - k. What is the highest common factor of 12 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5236 and 6.\nAnswer: 15708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*h + 393 = h, -4*h - 389 = -5*d. Let y = d - 52. What is the greatest common factor of 145 and y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 14. Let v = 3 + -1. Let j be v\/((16\/(-6))\/4). Which is the third smallest value? (a) j (b) p (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**4\/13 - 3528*t**3\/13 - 85388*t**2 - 4394232*t\/13 - 3287718\/13 = 0 for t.\nAnswer: -269, -3, -1, 2037","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -562*t + 284*t - 9 - 3*t**2 + 283*t + 4*t**2. Give v(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110, -223, -334, -443, -550, -655?\nAnswer: -758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 16*l + 281. Let h be d(-11). What is the greatest common divisor of h and 1449?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z**2 + z + 2. Let b(x) = x**2 - 1. Let v be 5 - (0 - -2 - -2). Let l(w) = v*o(w) + 5*b(w). Determine l(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 10) in base 3?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1344 - 1344.2. What is the closest to g in -3\/2, -0.3, 4, 18?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27199928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, p: 2, r: 1}. What is prob of picking 1 p and 1 b?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/24 and -31\/1662?\nAnswer: 6648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -12*l. Let k(s) = 24226 - 24226 - 8*s + 9*s. What is -8*k(x) - p(x)?\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/8)\/11*4*-5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - c - 1. Calculate l(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/(-1))\/(14\/154). Let p = -79 - g. Suppose 4*k - p*k = -80. Is k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8993082\/37 < 243057?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*m**5 + 11*m**5 + 3*m**5 - 17*m**2 - 32*m**5 wrt m.\nAnswer: -720*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -4*o - o - 2*g, 5*g + 3 = 2*o. Let n be o\/12 + (0 - (-9)\/(-12)). What is the closest to 0 in 4, n, -1\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 - 4*w**2 + 0*w**2)*(-207*w**2 + 56*w**2 - 142*w**2).\nAnswer: 586*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20599 and -0.03?\nAnswer: -617.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -60\/178133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iawiwwpwwwiiiwaif. What is prob of sequence af?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -38 + 77 + -35.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 16*j**2 - 58*j - 106. What is o(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -2 (b) -0.003 (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 217531.8l in millilitres?\nAnswer: 217531800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 949147695 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one quarter of a day?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 84 - 73 - (0 - (-11 - 1))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 0*i - 6. Let h be (10\/7)\/((-10 - -3)\/(-49)). Suppose i*v - v = -h. Is v bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 65*n + 330. Let i be p(-5). Put 7, -1, -11, i in ascending order.\nAnswer: -11, -1, i, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 112, -101, -2 in descending order.\nAnswer: 112, -2, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, t: 7}. What is prob of sequence tyty?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -19.04. Let v = -0.06 + r. What is the smallest value in 4\/3, v, 0.07?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 7:26 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 11:26 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 305\/(-3) + ((-12)\/(-90))\/(38\/(-1520))\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*m + 2252 = -3117 - 864 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 263 divide 13636035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2336 (b) 1\/6 (c) -0.29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2186838, 8747341, 19681514, 34989357, 54670870?\n\"Answer: 2186835*b**2 - 2*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7\/476*381633\/(-2138)\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -80\/180769?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 270215.2 + -0.141335678?\nAnswer: 270215.058664322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*u**3\/5 + 2096*u**2\/5 - 21201*u\/5 + 12321 = 0. Calculate u.\nAnswer: 5, 111\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -326203*s**2 - 107415*s**2 + 138364*s**2 - 234885*s**2.\nAnswer: -530139*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.084 and 0.0591371316.\nAnswer: -0.0248628684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2d7 - -55579?\nAnswer: 55872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22 * -6.82.\nAnswer: -150.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (1 + -29) - (-19 + -31 + 58)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*n = -56*n. Solve -4*c + 6*c - 6 = n for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1375034 and 0.19.\nAnswer: -1375033.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43 + -42. Let y = -20\/7 - -22\/7. What is the nearest to 1 in d, -2, y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2679 and -4.76.\nAnswer: -2683.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1431 + -641087\/448. Let u = -4\/1901963 + 36682507\/852079424. Let a = c - u. What is the second smallest value in 2, a, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334368.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2052*l**3\/11 - 1350*l**2\/11 - 696*l\/11 - 6\/11 = 0.\nAnswer: -1\/3, -1\/114, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -87564 not equal to -87576?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3608952 and 6.\nAnswer: 3608952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(75)*-1.\nAnswer: -5*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 119 (base 10) to base 15\nAnswer: 7e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 636*q**2*v**2 + 5*q**2 - 9783*q*v - 112*v**2 wrt v?\nAnswer: 1272*q**2 - 224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -24939562.2 rounded to the nearest ten thousand?\nAnswer: -24940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w + 31. Let b be n(14). Suppose -l + 12 = 2*y, -b*y + 4 = -y + 3*l. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5541000 rounded to the nearest 100000?\nAnswer: 5500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bw when two letters picked without replacement from ywxbybwxywwvbb?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a**3 + 343*a**2 - 114*a + 97. Let z be x(114). Solve 5*k = 107 - z for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117760853 plus 0.5?\nAnswer: 117760853.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 402406724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((24\/(-96))\/((-5)\/8))\/(4\/(-20)*91)?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8292, 8170, 8014, 7824, 7600?\n\"Answer: -17*b**2 - 71*b + 8380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41.62992077 + 41.63. Round u to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 + 25. Let q = 12 - 4. Let d = q - 8.1. Which is the second smallest value? (a) w (b) d (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a. Let s(j) = 3*j - 1. Let p be s(1). Let n(m) = -m**2 + 6*m**2 - 3*m**p. Give o(n(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*k = -33*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 10:20 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 5:22 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5404, -5403, -5402, -5401, -5400, -5399?\n\"Answer: r - 5405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -21243*g + 339899. Calculate n(16).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0181063 and -43234663.4.\nAnswer: -43234663.3818937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 160 and 360?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than 10015721328.9?\nAnswer: 10015721329.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = d - 1594, 5*g - 4410 - 3460 = -5*d. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**2 - 4*c - 2. Let y be t(-2). Let h(g) = g**2 - 5*g + 7. Let o(v) = v**2 + v + 6 - 2*v - 3*v. Let n(x) = 6*h(x) - 7*o(x). Determine n(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -100.9 - -256.8. Let i = d - 141. What is i rounded to 0 decimal places?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -394, -800, -1216, -1648, -2102, -2584, -3100, -3656?\n\"Answer: -a**3 + a**2 - 402*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 12:46 PM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-8) + -2)\/(-49 + 50)?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**2 - 3*j**2 + 0*j**2 + (2*j - 2*j - j)*(j + 4*j - 3*j) + 3*j - 3*j + j**2 + j**2 - j**2 - j**2 + (1 - 1 + 2*j)*(3 - 3 - 3*j).\nAnswer: -11*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 6*a - 8 = -19*h, a = 3*h + 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 3:20 PM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7359525\/270*4\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26294.\nAnswer: 2, 13147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1910 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -19. What is the smallest value in y, -0.4, -28, 1\/2?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -736*-19596.6.\nAnswer: 14423097.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-62))\/((-9894)\/9021).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 4*a = -8. Let h = 206 - 210. List the prime factors of -3 - (188\/h + a).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(-2)*24\/(-36). Let x(k) = -5*k - 1. Give x(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22853 is divided by 71.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-348)\/(-290)*(-1 - 4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -5268*d**2 - 10*d. Let k(f) = -13170*f**2 - 24*f. Determine -5*k(l) + 12*u(l).\nAnswer: 2634*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -6 + 3*w**2 - 4*w**2 + 9*w - 3*w. Let b(j) = j**2 - 5*j + 5. Let r = -38 - -33. Let m = -7 + 1. Determine m*b(x) + r*o(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r - 224 = -24*r. Suppose 112*z - 140*z = -r. Solve -1 + z = h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -20255, -20209, -20163?\n\"Answer: 46*v - 20301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2328)\/(-6216) - 4\/(-74)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28.2, 7\/3, 3, 2\/43 in descending order.\nAnswer: 3, 7\/3, 2\/43, -28.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/2 (b) 1 (c) -3\/2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*((v\/v**(2\/9))\/v)\/v*v)**(3\/11) assuming v is positive.\nAnswer: v**(7\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + sqrt(187)*-5*3)\/sqrt(11) - (((sqrt(102) + sqrt(102) + (sqrt(102) - sqrt(102)*1) - sqrt(102))*-4)\/sqrt(6))**2.\nAnswer: -272 - 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2. Let q(t) = -269*t**2 + 8*t. Let u(r) = 130467*r**2 - 3878*r. Let o(b) = 1939*q(b) + 4*u(b). Calculate j(o(i)).\nAnswer: 153458*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.961 + -13. Let h = -0.0390013 - u. What is h rounded to 7 dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2002905309 to the nearest integer?\nAnswer: 44754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m**4\/5 + 93*m**3\/5 - 213*m**2\/5 + 3*m\/5 + 126\/5 = 0 for m.\nAnswer: -2\/3, 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1783725823 to the nearest integer?\nAnswer: 42234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -5*l + 43. Let g(f) = -3*f + 44. Let w(j) = -4*g(j) + 3*i(j). What is w(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1584) + sqrt(1584) + 2 + 1*sqrt(1584)) - (2 + sqrt(1584) + 0 + -2*sqrt(1584)*-3))**2 + 2.\nAnswer: 1536*sqrt(11) + 101442","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 102, 201, 300, 399, 498, 597?\n\"Answer: 99*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -12*b + 8. Suppose -9*v = -19 - 17. Let z(d) = -11*d + 6. Let f(h) = v*z(h) - 3*g(h). Let k(x) = -3*x**2. Give k(f(p)).\nAnswer: -192*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*l = 20, 5 = -4*g + 3*l - 14. Let o be (-1 + g)*6\/(-4). Is (-1)\/o - (-146)\/6 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31588603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 198?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -183 (c) 18.5 (d) 122\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(5184) + sqrt(5184)*2)\/(sqrt(432)*-4) + (sqrt(48)*-1 + sqrt(30)\/sqrt(40) + sqrt(48)*-5 + (sqrt(21)*-1)\/sqrt(7))**2.\nAnswer: -3*sqrt(3)\/2 + 7215\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + p + 1. Let a(f) = f + 7. Let z be a(-11). Let n(c) = -4*c - 4. Let s(x) = z*o(x) - n(x). Solve s(q) = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 17, -1\/6, -3, -6, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 3. Suppose 0 = 3*b - 9, 0*r + 5*b = s*r - 9. Suppose 3*p = -5*f - 0*f + 86, -f + 14 = -p. Calculate the greatest common factor of r and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/(a**(1\/4)\/a*a))\/a)**(-11\/6))**(5\/3) assuming a is positive.\nAnswer: a**(-55\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3293 + 3295. Solve 0 = -o*l - p + 6, 0 = -8*p + 13*p + 20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -23c4?\nAnswer: -23bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 117204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, f: 9}. What is prob of picking 2 c?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 plus -2036999?\nAnswer: -2036998.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 269 + 6 = -3*y, 94 = -y - 4*m. Calculate the lowest common multiple of ((-1)\/1)\/(10\/y) and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**5\/7 + 65*r**4\/7 + 60*r**3\/7 - 35*r**2 - 304*r\/7 - 60\/7 = 0.\nAnswer: -15, -2, -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(216) - sqrt(6))\/(5*sqrt(147)).\nAnswer: 11*sqrt(2)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 775?\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52017555*-0.6.\nAnswer: 31210533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*q**4 + 6692*q**3 + 64151*q**2.\nAnswer: -48*q + 40152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-3 - -2)) + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 22146*j + 108536. What is u(-5)?\nAnswer: -2194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2930 - -3677. What is the greatest common divisor of o and 9213?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c + 5*o - 118 + 95, 3*c = 5*o - 29 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 1. Suppose 0 = 5*y + 4*s - 35, -6 = 3*y - i*s + 3*s. Sort y, -5, -2 in decreasing order.\nAnswer: y, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 341851\/276 - 3713\/3. Let u = 203\/46 - -1703\/276. Find the common denominator of o and u.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 386*v + 1 + 1215*v + 3804*v + 4*v**2.\nAnswer: 4*v**2 + 5405*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-51)\/((-2)\/(3*2)). Suppose -32752*i + 32775*i = -361 + 5053. What is the highest common factor of i and p?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 13*a + 32. Let m be q(-3). Let p(r) = 9*r + 10. Let f(l) = -4*l - 5. Let z(w) = m*f(w) - 3*p(w). Give z(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 628275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 346 + -151. Let q = 160.2 - o. Let t = q + 35. What is the second smallest value in -4, t, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/28)\/(18\/(-28))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10559994, -21119987, -31679980, -42239973, -52799966, -63359959?\n\"Answer: -10559993*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000123551378 to seven decimal places.\nAnswer: 0.0000124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1366\/75 + -2\/225. Let d = r + 18. Are 1.6 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y**3 + 15*y**3 - 6*y**3 - 9*y**3.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jrjjruruuuujjuj. What is prob of picking 2 j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - -15 - (-2 + 7).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 7. Suppose r = 1 + l. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/47475 + 2389543\/759600. Calculate the common denominator of 11\/204 and w.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17360134 equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**3\/4 + 19333*z**2\/4 + 77380*z + 309584 = 0. Calculate z.\nAnswer: -8, 19349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 915.\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) - (-2 + sqrt(720) + sqrt(720) + 2))*2)**2.\nAnswer: 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3*a = -63, -64*a + 66*a = -3*h + 46. Let x be -4*(0 - (0 + 1)). What is the greatest common factor of h and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -6\/23 (b) 2\/119 (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -4*w**2 + 4. Let b(k) = 8*k**2 - 7. Let a(j) = -4*b(j) - 7*q(j). Let h(g) = -4*g**2 + 7*g**2 - g**2. Determine h(a(s)).\nAnswer: 32*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 18*s**2 + 11*s - 8. Let p(l) = -5*l**2 - 4*l + 3. Let h(i) = -7*p(i) - 2*v(i). Give h(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1486.\nAnswer: 2, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*g - s = -110*g + 75*g - 61, 172*g - 5*s - 329 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2)*((-3*l**5 - l**5 - l**5)*(-2 + 2 + 2) + 0*l**5 + 0*l**5 + l**5 + 4*l**5 - 2*l**5 + 0*l**5 + (-2*l + 2*l - 2*l**4)*(2 + 2*l - 2)).\nAnswer: 11*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 16309070.40898 - 445?\nAnswer: 16308625.40898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + 655.6?\nAnswer: 655.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**3 - 165*d**2 + 1580*d - 15464. Give h(-92).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a218 (base 12) in base 7?\nAnswer: -216506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 9 = o, 4*n - n - 6 = 0. What is the nearest to -6 in 220, o, -1\/8?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29047 + 0.4.\nAnswer: -29046.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 0*t**2 + 1 + 2*t**2 in the form u*t**2 + w + m*t and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 351 and 540?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 100 + -199?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 12:31 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -1\/3*n**6 + 0 + 5\/42*n**7 - 65*n + 0*n**3 - 1\/4*n**5 + 0*n**2 + 5\/6*n**4. Factor h(o).\nAnswer: 5*o**2*(o - 2)*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32511815.68 rounded to the nearest 10000?\nAnswer: -32510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 269.92181 rounded to the nearest 10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l**2 + 32*l - 65*l + 32*l + 1. Let n be z(1). What is the highest common divisor of n and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 + -1)\/((-16)\/64). Solve -2*v - v - 3*w = -3, -4*v - u = -4*w for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 9)*(20\/(-12) - 0). Let z = x + 40. Suppose -65 + z = -5*h. Calculate the remainder when h is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5721743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 4*w + 10. Calculate z(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 2*r - 23986, -5*r - 20801 = -3*k + 3150. Suppose -9*v + 9351 = -k. List the prime factors of v.\nAnswer: 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 71*u**2 + 18*u + 21. Let v(q) = 79*q**2 + 18*q + 22. Let o(d) = -10*g(d) + 9*v(d). What is o(18)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1261*0.0053.\nAnswer: -6.6833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 less than -60.9043?\nAnswer: -60.9843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r**2 + 3*r - 2. Let m be q(-3). Suppose t + m = 5*t. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 1359 = -2*f + 1335, -9*s + 5*f - 99 = 5*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30465240 divided by 23010?\nAnswer: 1324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 5 = -2*o, 13*o = -2*h + 16*o + 25 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 11*w - 60. Suppose 11*u = w - 67. Does 28 divide 9\/(-15) - (1 - (-148)\/u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 929035959?\nAnswer: 3, 607, 510179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1412240 and -5?\nAnswer: 1412245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 816\/64 - 7)*(-8)\/(-2)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5747 - 1512\nAnswer: 4235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3753071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -23*a**3 + 6*a + 1. Let u(b) = -b**3 - b. What is g(n) + 6*u(n)?\nAnswer: -29*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xiiciziczx. What is prob of picking 1 x, 1 c, and 1 z?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 3:23 PM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**2 + 6*a - 84. Let u(g) = -g**2 + 5*g. Let r(j) = h(j) - 3*u(j). Calculate r(13).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -48c + -117?\nAnswer: -5a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71, 28637, -0.3.\nAnswer: -71, -0.3, 28637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 214 divided by 30699\nAnswer: 214\/30699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-26) - 2\/13. Let p be 1\/3 + 25\/(-30). What is the nearest to r in -0.3, -2, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express d + 3*d + 10 - 24 in the form n*d + k and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -22427 (base 8) in base 6?\nAnswer: -111543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5*p - 28 = -4, 4*p + 12 = 0. Suppose -3*k - 2*k + 29 = 4*x, 0 = k + n. Calculate the remainder when x is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 314 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 643951615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1409.999999303 + 1410. Round n to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 10*c**2 + 11*c - 11. Let z be g(9). Solve 4*s + 1 = -z for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -4*o + 36. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -503 by 12744.\nAnswer: -503\/12744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0092 + 4.9908. Let u = -1244 - -1244. Which is the closest to u? (a) 1\/9 (b) x (c) 1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**3*u**2 - 2*a**3*u - 299*a**2*u**2 - 348*u wrt u.\nAnswer: -2*a**3 - 598*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -15*w**3 - w**2 - 14*w - 3. Let p(g) = 22*g**3 + g**2 + 22*g + 5. Let t(x) = -8*j(x) - 5*p(x). Let o = -10 - -14. Is t(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63 - 78. Let u = 13 + j. Let p = -4 - 9. What is the fourth smallest value in p, -3, 3, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 50*r**2 - 86*r**2 + 47*r**2)*(-r - 4*r + 4*r)*(0*r**2 - 3*r**2 + 0*r**2).\nAnswer: 33*r**5 - 27*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -r + 5*q, 2*q + 9 + 5 = 3*r. Is (-2107)\/(-3) - r\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4401 less than 4591?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - d + 32. Let s be r(0). Calculate the highest common divisor of s and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1578?\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 1272.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + v - 4 - v**2 + 0*v to the form q + i*v + o*v**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/2 + 3778*h**2 - 1585530*h.\nAnswer: -h*(h - 7110)*(h - 446)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i + 3*i**2 - 6*i**2 + 16*i**2 + 4*i**2.\nAnswer: 17*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -55 + 2?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 51946 + -b?\nAnswer: 5193b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**5 + 150*m**4 - 2981*m**3 + 7616*m**2 + 588*m - 10160 = 0 for m.\nAnswer: -1, 2, 20, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 846\/8 + ((-58)\/(-8) - 8). What is the greatest common factor of n and 1540?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -7. Suppose p*v - 8*v + 4 = 0. Suppose -v*r + 153 = -15. Does 14 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 100712 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*v + 25 - 25 + 0 + v + 0 + (-1 + 0 + 3)*(v + 5 - 5).\nAnswer: 15*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-98)\/(-9) - -6.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7222*r**5 + 939*r**4*s**2 - 2*r*s**2 + 2*r*s - 5763*s - 20 wrt r?\nAnswer: 144440*r**3 + 11268*r**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 62.71, -0.2, 2\/11, -1.6?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 + 76 = 3*j. Let z be (-1)\/(-3)*j\/(-8). Suppose 4*w - 8 = f, -3*f + 2*w = -2*w + 8. Which is the second smallest value? (a) z (b) -1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 208982131?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 37*g**2 + 69*g + 34. Let m be l(35). Which is the second smallest value? (a) m (b) 0.083 (c) 1 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 2:30 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/(-9)*(876\/(-8) - 9) and (-4)\/6*2\/(-16).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*n = -2*n + 1196. What is the second biggest value in n, 5, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74104 divided by 314?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 153*f**3 - 3 + 50*f**3 + 6.\nAnswer: -103*f**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/6*58254\/6935?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -748562?\nAnswer: 3742810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 16, 7.\nAnswer: -3, 0, 7, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3001 - 10200?\nAnswer: -2144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 449007 = 3*j, 4*j - z - 906506 = -307811. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 11*i**2 + 80*i + 5. Let q be k(-5). Let m(x) = 64*x - 230. Let o be m(q). Calculate the highest common factor of 450 and o.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 764 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - -3*9\/1. Suppose -d = -5*c - 4*m + 35, 5*m = 3*c - 76. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5279588ns in minutes?\nAnswer: 0.00000000002546598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of r**3 + 2*r**2 + 15 + 1\/12*r**4 + 5*r. Let z(w) be the first derivative of m(w). Calculate z(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29835501 and 8181.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*((sqrt(119) + 2*sqrt(119) - sqrt(119) - sqrt(119)) + sqrt(119)) + sqrt(119))*-4)\/(-4*((sqrt(7) + 1*sqrt(7) + sqrt(7))*-3 + sqrt(7))) + -3.\nAnswer: -3 - 5*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h - 4*s + 26, 4*h - 3*s = -h - 25 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4026590 divided by -805318\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 61293 - 305369\/5. Are s and 218 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 8026 = x, x = i + 6229 + 1773. What are the prime factors of x?\nAnswer: 2, 7, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 880\/7*j**2 + 108*j**4 + 1368\/7*j**3 + 192\/7*j + 54\/7*j**5 = 0.\nAnswer: -12, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*r**2\/6 - 144979*r\/3 - 3303500.\nAnswer: (r - 26428)*(11*r + 750)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*r*y**4 - 84145*r*y**3 - 15*r*y - 152*r + y**2 + 98*y wrt y?\nAnswer: 48*r*y**2 - 504870*r*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iws when three letters picked without replacement from iipipiuspisipdwp?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*s**2 - 2 - 15*s**2 - 441*s**2.\nAnswer: -519*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 2\/3*h**3 + 25 + 0*h + 0*h**2. Let g(b) = -21*b**2. Give t(g(c)).\nAnswer: 882*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4435132 and 5.52.\nAnswer: -4435126.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4027609 rounded to the nearest 100000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 17.9. Suppose 0*f - 48 = 16*f. Let z = 41 - 37. Which is the closest to w? (a) 1\/2 (b) z (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21.9 - 24.9. Suppose 19 = o - 2*o. Let s = o + 13. Put y, -0.4, s in increasing order.\nAnswer: s, y, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**5 + m**5 - m**5 + (-2*m**4 + 5*m**4 + 0*m**4)*(-23*m + 30*m - 11*m) - 4*m**5 + 5*m - 5*m.\nAnswer: -14*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, z: 15}. Give prob of picking 2 p.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -1098, -2949, -5660, -9303, -13950, -19673, -26544?\nAnswer: -34635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 29*w**2 + 82*w - 14. What is the tens digit of v(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of x**2\/2 - 8. Let z(h) be the second derivative of h + 0 - 1\/2*h**3 + 0*h**2. Calculate o(z(u)).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 96 = 432. Let d = 63 + -53. Suppose -2*l + v = -28, 8*l + 28 = d*l + v. Calculate the greatest common divisor of l and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.021 times 209?\nAnswer: 4.389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -473 - 255 = 4*u. Let n = -176 - u. Solve -l - 2 + n = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29\/631 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4*x**3 + 13*x + 25. What is the hundreds digit of j(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**2\/5 - 32*r\/5 - 34\/5 = 0. What is r?\nAnswer: -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 10:55 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + c + 4 = 0, -3*k + 79 = -4*c. Let s = k + -13. Suppose 23*a + 9 = 78. Solve f - s = -a*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d - -6ed013?\nAnswer: 6ed020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.7, -1\/7, -0.1, -3, 1?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*(-2)\/6*12\/8. Suppose b*c = 25173122 - 4773122. What is c rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 506*k**3 + 2*k + 2. Give y(-1).\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1664 <= -4.8621?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -60*s + 150. Let x be m(-6). What is the highest common factor of 153 and x?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4541, 1\/4, -4, 590 in decreasing order.\nAnswer: 590, 1\/4, -4, -4541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 291\/889016 or -1?\nAnswer: 291\/889016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -206 + 347. Let w = -163.3 + m. Let o = -26 - w. What is o rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 5, m: 3}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 51 - 35. Suppose 0 = 5*t + 8 - d. 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 the remainder when 46 is divided by -2 - ((-3)\/(3\/34))\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of 3\/40*s**5 + 0*s**2 - 1\/12*s**6 + 1\/84*s**7 - s - 1\/3*s**3 + 118 + 5\/24*s**4. Factor t(x).\nAnswer: x*(x - 4)*(x - 1)**2*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1) + -6 - (-5 + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 - 32 - (-3 + -2) - 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 8*r**2. Let y(u) = -3*u**2. Let o(i) = -4*p(i) - 11*y(i). Let v = 8 + -4. Let h(t) = t - t + v*t. Determine o(h(m)).\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 21*f**4 - 78*f**3 - 45*f**2 + 78*f + 24 = 0.\nAnswer: -1, -2\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -523.6 or -3.242?\nAnswer: -523.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -g**5\/30 - 44*g**2. Let m(s) be the first derivative of 2*s**3 - 1. Calculate v(m(x)).\nAnswer: -72*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.143310315415 from -1.15.\nAnswer: -1.006689684585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 572 and 396?\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3*s - 641 = -i, -3*i - 2*s + 385 = 0. Does 16 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 1482727, 2 in decreasing order.\nAnswer: 1482727, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m**2 + 5*m - 5. Let u be s(3). Let k = u + -9. Let f = k - -74. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 21 = -t, 0 = 4*i - 5*t - 63. Let j be (-9)\/i + 1 - (-99)\/(-44). Is -4 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1909 + 3037. What are the prime factors of k?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + 6. Suppose 2*t + b = 2, -14*t = -16*t + 5*b + 14. Solve t*j + g = -4*q, 0 = -4*q + j - 14 + 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 o when two letters picked without replacement from {w: 1, u: 1, o: 1, y: 1, k: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/465 and 53\/165.\nAnswer: 5115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b**4 + 2382*b**3 - 171876*b**2 - 854962*b + 6019464 = 0.\nAnswer: -33\/4, 4, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248 = 2*x - 5*r + 176, 3*r = 2*x - 44 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/489)\/(22 - 25). Let f = h + 32783\/5868. Calculate the common denominator of f and 95\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110000 + -100100000011011101110101?\nAnswer: -100100000011011110100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 + 170535480*i - 170535477.\nAnswer: -3*(i - 56845159)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 8, -10190 in decreasing order.\nAnswer: 8, -10, -10190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 943 + -730. Is i a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/7 - 114600978*g + 802206843\/7.\nAnswer: 3*(g - 267402281)*(g - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 8. What is the fourth smallest value in -2, 1, -1, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*y = 127*y - 8. Suppose -6*z + 3*z - y*p + 886 = 0, 0 = 5*z - 3*p - 1445. List the prime factors of z.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 0*n - n**2)*(1 - 1 - 1) + (0*n + 7*n - 4*n)*(-2*n - n + 5*n).\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 752004185 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 69*o - 23724105 + 6726399 = 0. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -219, -459, -699?\nAnswer: -939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -38? (a) 21.3 (b) -3 (c) 0.5 (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2704*w**2. Let f(m) = 1354*m**2. Calculate u(f(d)).\nAnswer: 4957286464*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6032 + 6034. Put -17, 0, 44, r in decreasing order.\nAnswer: 44, r, 0, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/2, -12, -0.08, 1\/3?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -29*u - 58. What is the units digit of p(-19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2260 + -1320. Let k = c + -390. Suppose 9*p = 4*p + k. What are the prime factors of p?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 16, 0, -311, 27\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5 + 4*sqrt(567))*-2.\nAnswer: -72*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17884, 17838, 17752, 17626, 17460?\nAnswer: 17254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p + 32 - 247 = -950 for p.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1.1 (b) 766 (c) 323 (d) 1 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -684 + 116*j**2 + 684.\nAnswer: 116*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rdnr when four letters picked without replacement from rduuuuudnrnddqunon.\nAnswer: 1\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 45*d**2 + 13*d + 5. Does 16 divide f(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4342*g + 4334*g = 16 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 49*m - 44*m + 40, 2*g + 23*m + 82 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 146 - 100. List the prime factors of p.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -7*r**3 + 2*r. Suppose 2*s - 40 = 2*t, -3*s + 6*s - 44 = -5*t. Calculate the remainder when x(-2) is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)*1*1 + (sqrt(65)*-1 - sqrt(65))*3)\/((sqrt(5) + (sqrt(5) - sqrt(45))*3)*-1).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1740*a**2 - 3304*a**2 + 6325*a**2.\nAnswer: 1281*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5555 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + z = 150. Let w be (-18)\/15*z\/2. Suppose 0 = -5*x + w + 7. What is the smallest value in -0.1, x, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ovpoowfpoovo. Give prob of sequence wopp.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4426\/207 + -387\/23. Let p(u) be the first derivative of 2\/3*u - 21\/5*u**5 - 17\/6*u**2 + d*u**3 + 4 - 1\/4*u**4. Determine f so that p(f) = 0.\nAnswer: -1, 2\/7, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -4 (b) -0.01 (c) 2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(153) + sqrt(153) + 2*2*sqrt(153))\/(sqrt(81)\/(-1*sqrt(9)) + sqrt(180)\/sqrt(5) + sqrt(9))*-3.\nAnswer: -27*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3450069 is divided by 1150017?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -134*f + 1. Let m(p) = p**2. Calculate a(m(s)).\nAnswer: -134*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uzzuuzuuzjz. What is prob of picking 1 j and 1 u?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -1 - 3 - (-57 + 60)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -114 - -44533?\nAnswer: 44415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -89 - -96. Solve -m*r - 14 = 5*p - 4*r, r = 3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/11 - 50230\/22. What is the common denominator of 4\/18 - w\/(-432) and (-14)\/91 + (-1617)\/728?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 14, f: 5}. Give prob of picking 2 o.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 347 - 345. Suppose -3*j + 3*t + 1593 = 0, -r*t + 2110 = 4*j + t. List the prime factors of j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -b + v, b + 3*v - 105 = -4*b. Suppose 8*s = 11*s - b. What is the units digit of s\/2 - 2 - -23?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/38075 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59282660 - 59282663.4977223. Let j = n - 0.0022677. Let c = j - -3.5. What is c rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/48*(1377\/765)\/((-6)\/10)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3645 - 157*h**2 + 22*h - 7298 + 3649 wrt h.\nAnswer: -314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1302595.\nAnswer: 5, 7, 37217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*m - 11. Let o be 1\/((-6)\/(-42)) + -3. Let k be o\/12 + 3599\/m. Round k to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 3) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 245853 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2841 a factor of 1511412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -47*p - 3. Let j(g) = -1. Let m(r) = -4*j(r) + n(r). What is the tens digit of m(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.7 + 0.3. Let m = 9 + -6. Which is the smallest value? (a) j (b) -1\/5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 1 - 9 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6*3\/(-213)*(98\/(-42))\/(-7)\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b - 7. Let z be 10\/((8\/(-1))\/(-4)). Let l(h) = -12*h + 22. What is z*l(c) + 16*k(c)?\nAnswer: 4*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -26*k**2. Let z(a) = 890*a + 1. Give z(h(o)).\nAnswer: -23140*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4612086 + 2306028 + 2306058 + d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 5059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3440 and 1720?\nAnswer: 3440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((380\/390)\/19)\/((-4698)\/(-2106))?\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*d + 48 + 2. Let x(g) = -15*g - 2. Calculate x(d).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/((-72)\/(-63))*(192\/40)\/(-8).\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2252313 (base 9) in base 15?\nAnswer: 190233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -11*j + 140. Let s be f(12). Let c be 0 + 0 + (-10)\/(-1). Suppose 6*a = c*a - s. Calculate the lowest common multiple of 16 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 1)*(-2*w**2 + 2*w**2 + 2*w**4) + 942963*w**3 - 943225*w**3 - 10*w**4 + 2 - 2 as z*w**3 + r*w**4 + j + p*w + a*w**2 and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 465*z = -3*a + 231*z + 235*z - 4, 0 = 5*a + 5*z for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 4*h**2 + 4. Let x(i) = 11*i. What is g(x(b))?\nAnswer: 88*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 204116 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5516 is divided by 1104.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1423 (base 5) in base 9?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**3 - 482*t**2 - 1 + 482*t**2 + 1.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 - 45*c**2\/4 + 6*c + 9\/4.\nAnswer: 3*(c - 3)*(c - 1)*(4*c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/256 and 17\/36?\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12099\/(-90) - (-8)\/(-20). Let u = -133 - x. What is the common denominator of 2\/(-3) + (-82)\/(-42) and u?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4 + 2 - 5 + i. Let j be ((-2)\/(-4))\/((-2)\/20). Let t be 1 + -4 - (3 + j). Let b(x) = -5*x - 6. Determine t*b(h) - 4*l(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 517\/24 - 211\/8. Find the common denominator of l and 47\/68.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r. Let z(l) = -19*l**2 - 2. Let n(s) = s**2 - 1. Let c(t) = 2*n(t) - z(t). Determine f(c(y)).\nAnswer: -21*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 35480 (b) 1\/8 (c) 3 (d) -11 (e) 1 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-4))\/(-3)*(-5320)\/(-190)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6.779047 kilometers?\nAnswer: 677904.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/10 (b) 10\/27 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 6:11 PM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-195)\/585)\/(((-14)\/3)\/2)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2927*g - 2932*g - 2*s = -130, 0 = 5*g - 0*g - 5*s - 95 for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -2, -11, 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*d - 248 = -48*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -2*q + 6024, 6*u + 3*q = 7*u - 1215. List the prime factors of u.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.12 + -0.35794.\nAnswer: -0.23794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1047962 (base 10) to base 6.\nAnswer: -34243402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.9 - -3. Let j = m + -1.5. Let u be 1*-2 + -2 + 3. What is the nearest to u in -0.2, j, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(5 - 1 - 2)*(3 - 3 + 2*t)*(2 + 0 - 3).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z - z**2 + 20 + 59*z**3 + 4 - 25 to the form a*z**3 + r*z**2 + c*z + d and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 192355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b0a90 - 5?\nAnswer: b0a87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -684135*d**3 - 12522*d**2 + 5 wrt d?\nAnswer: -4104810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from hahaahaaaaaahaaaah.\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of 13*z**4\/12 + 4*z**3\/3 - 2*z**2 + 3*z + 2. What is the units digit of m(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3384 - -155639\/46. Find the common denominator of s and -103\/2070.\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.032, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3620 equal to -3624?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 9*o + 5. Let i be w(-7). What is the greatest common divisor of i and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.049245757618 - 1\nAnswer: -1.049245757618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 240739482 and 207?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -4*a - 4*l - 35, -2*l + 16 = -4*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 19*r**2 - 18*r + 23. Let f be v(18). Let l(m) = 33*m - 56*m - m**2 + f*m. Let n(w) = -94*w**2. What is l(n(b))?\nAnswer: -8836*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence li when two letters picked without replacement from ixnlpdpx.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) 4 (b) -2 (c) 643 (d) 5.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 303*u = 319*u + 48 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, k: 7, d: 3, i: 2, q: 4, t: 1}. Give prob of picking 1 q and 1 t.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b*l**4 - 4173*b*l**3 - 25193*b*l**2 wrt l?\nAnswer: 48*b*l - 25038*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 150 by 12754.\nAnswer: 75\/6377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.6825 * -4.\nAnswer: 18.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 408d + 2?\nAnswer: 4091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4*v**2. Let l(y) = -10*y**2. Give n(l(q)).\nAnswer: 400*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -215720 rounded to the nearest ten thousand?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 24112?\nAnswer: -24120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -50, -69, -88, -107, -126?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 17 = 2*b, b - 4*b - 4*p = 8. Suppose -5*z - 3 = -4*z - 3*o, 3*z - 3*o = -3. Let w(i) = 1 + 4 + z - 3*i. Give w(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7299995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3332827?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 374 and 48202?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4028988 divided by -3?\nAnswer: -1342996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/3612 and 14\/4905.\nAnswer: 5905620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36320 - 36319.5. Which is the nearest to 0.07? (a) 0 (b) 1\/3 (c) 2\/7 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7102, 13341, 18720, 23239?\nAnswer: 26898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a + 26. Let t = 2 - 2. Suppose 2*y - 2*f - 18 = t, y + 0 = 3*f + 13. What is the remainder when c(15) is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuqu when four letters picked without replacement from xqqruuqhxxqxqxhrur.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2385)\/(-10))\/9 - 3*2\/12.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1\/11 (b) 0 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vsyyyysyssysv. What is prob of sequence syyy?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -12*(-6)\/(18 + -6) - 26\/6. Let r(j) be the first derivative of 0*j**2 + 0*j - 11 + y*j**3 + 5\/4*j**4. Determine g, given that r(g) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8194205*h + 5562846?\nAnswer: -8194205","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81083477?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 + 64. Suppose 3*n - 3*i - 46 + 1 = 0, -2*n + w = 3*i. Suppose 0 = 3*r + n, -2*r + r - 18 = -j. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-35)*q))\/q*q\/q**(-5\/2)*q*q*q*q**(-18)\/q*q**6 assuming q is positive.\nAnswer: q**(55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4266)\/(-13509) - 1722\/(-38)*-1?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 5) + 1 + -4 - -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -s**5\/20 + s**4\/6 + s**3\/2 + 16*s**2. Let y be i(4). Is y > -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/636 - 769\/318. What is the common denominator of w and 20\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30473*v**5 + 40*v**2 + v + 242 wrt v?\nAnswer: -1828380*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 133 in -2, -3, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - 11. What is the tens digit of (25158\/v)\/(-7) - (-2)\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 79 - 5?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -10*x - 23. Calculate q(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43733\/1062 + 7\/531. Let n = s - -41. What is the closest to -0.1 in -0.1, n, 2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3682688 + 4*y**2 - 3682688 + 3*y**3 - 4*y**2.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -273 - 288?\nAnswer: -561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**4 + 3*w**4 - 2*w**4 + (50 + 3*w - 45 + 25)*(0 + 2 - 1)*(w**2 - w**2 - 2*w**3).\nAnswer: -3*w**4 - 60*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 12:39 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 + -52. Let u be (-138)\/f + (-22)\/(-77). Solve 0 = -4*s - k - 17, 10 = -3*s + 5*k - u for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -9) + -26 + 2 + 17 + 29\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2340986 to the nearest one hundred thousand.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/60 and 64\/195.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 234 - c2086?\nAnswer: -c1d52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 2. Let n(g) = -38*g - g**y - 5 + 7*g + 18*g. List the prime factors of n(-8).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -456*l**2 + 96. Let v(o) = 6*o**2 - 48 + 24*o**2 + 5*o**2 - 59*o**2 + 53. Calculate -5*q(m) + 96*v(m).\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 4393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*u + 4*d = 266, 5*d = -2*u + 269. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91546 times 0.5\nAnswer: 45773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -32 - 179 - 54 + 108*g - 95 wrt g.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**3 + x**2 - 1. Suppose 0 = -10*q + 13 + 27. Suppose 0 = q*v + 8, 3*v = -2*d - 2 - 8. Determine l(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyy when four letters picked without replacement from {y: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11469 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54578\/5646 + 32\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 10*o**2 + 15. Let j be u(10). Let m be -35*((-2)\/6)\/(j\/18). Suppose 4*h - s = 10, 4*h - m = -h + 2*s. Solve 0*b = -h*b + 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 + 4*o + 3. Let t be m(-2). Let x(p) = -8*p**3 - 2 + 3*p - 1 - p**2 + 9*p**3. What is the tens digit of x(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -50660485831 and -246.6.\nAnswer: -50660486077.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 + 86. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l, -3*l + 105 + 75 = -2*k. Is 20 a factor of k*((-6)\/5)\/((-9)\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of 11*w**6\/60 - 229*w**4\/24 - w**3\/2 - 6*w**2 + w. Find the second derivative of n(m) wrt m.\nAnswer: 132*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1022 a factor of 254049782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45390, -90827, -136264, -181701?\nAnswer: -227138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3924982 divided by -103289\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(5) + 3 + sqrt(5)) + 3*(sqrt(45)\/sqrt(9))**2.\nAnswer: -8*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ngg when three letters picked without replacement from {n: 1, g: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**3 - 2*d**3 + 0*d**3 + ((3*d + d - 2*d)*(5*d + 0*d - 2*d) + (3*d + 3*d + 2 - 5*d)*(-2*d + 0*d - d))*(-23*d + 7*d - 6*d).\nAnswer: -71*d**3 + 132*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - o**2 - o + 60. Let c be y(0). List the prime factors of -5 + 5 + c - (0 + 1).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -62*m**2. Let v(t) be the second derivative of 0 - 6*t + 1\/3*t**3 + 0*t**2. What is v(r(z))?\nAnswer: -124*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5599 + 5604. Let w(s) be the second derivative of -15*s - s**4 + 0 + 8*s**2 + 1\/5*s**m + 0*s**3. Factor w(p).\nAnswer: 4*(p - 2)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -208.4 + 208. Which is the third biggest value? (a) -3 (b) u (c) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132549 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/665*-14*(-7)\/56*-76?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3094710, -12378840, -27852390, -49515360, -77367750, -111409560?\n\"Answer: -3094710*r**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ab57 (base 13) to base 5\nAnswer: 1231101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 1 = 13*c + 4*c. Let l(a) be the third derivative of -1\/20*a**5 + c*a + 3*a**2 - 3\/8*a**4 + 0*a**3 + 0. Factor l(b).\nAnswer: -3*b*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3961, 4015, 4073, 4135?\n\"Answer: 2*c**2 + 48*c + 3911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 870 + 82*n - 1101 + 15*n + 226.\nAnswer: 97*n - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4114) + (sqrt(4114) - sqrt(4114)*4))*-2*4)\/(((2*sqrt(72))\/sqrt(9))\/(sqrt(36)*1 + sqrt(36) + sqrt(4))).\nAnswer: 616*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2)\/(8\/28) + 3)\/(88\/(-351340))?\nAnswer: 2, 5, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 3*w + 4. Let y be 1 + (-16)\/12*-3. Let h(q) = -q + 39. What is the remainder when h(0) is divided by n(y)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 7818738\nAnswer: 3127495.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -19 and -12863.\nAnswer: -12882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1198939 and 1180.\nAnswer: 1200119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (108\/(-3))\/1 - 3. Let w = f - -14. Let z be 1*(-4 - 105\/w). Which is the second smallest value? (a) -4 (b) z (c) 5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 6 - 27 = -4*g, g + 6 = -x for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/(((z\/(z*z\/z**8))\/z)\/z))\/z)\/z**(2\/83))\/(z**(5\/9)\/z**(-3)))**(21\/4) assuming z is positive.\nAnswer: z**(-44863\/996)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 17*h - 317517 = -2*c, -5*c + 4*h = -317496. Is c a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2111.3 - 2111. Sort 1, -0.0563, 0.2, g in decreasing order.\nAnswer: 1, g, 0.2, -0.0563","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38635?\nAnswer: 5, 7727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**3 - 2*x**3 + 13*x + x - 13*x**2 + 3*x**3 + 2. Let f be a(-14). What is p in f*p**2 + 36 - 10*p + 14 - 10*p = 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {g: 1, o: 1, f: 3, i: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n + 2*n + 4*n - 5*n. Let z(x) = -x**2 - 6*x + 19. Let o be z(-8). Let l(p) = 0*p + p - o*p - p. Give l(t(a)).\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r + 21. Let m be g(9). Suppose 2*f + i = -14296, 0 = m*f - 5*i + 24642 - 3172. Round f to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -6. Let o(t) = t**3 - 5*t**2 + 2. Let b be (-6)\/(-1)*20\/24. Let p be o(b). Solve 4*s - 36 = 4*a, -p*a - 3*a - i*s = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12010211 (base 3) in base 11?\nAnswer: -28a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -293*t**3 + 391*t + 392. Calculate f(-1).\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -32 + 279*r**4 - 12 - 54 - 32*r**4 + 25 wrt r?\nAnswer: 988*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 o, and 1 e when four letters picked without replacement from aeojomjt.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.012793 > 16893?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 (base 11) in base 5?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i = 126 - 114 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 8:13 PM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18298431.\nAnswer: 3, 2033159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70766*b**2 - 35192*b**2 - 35298*b**2.\nAnswer: 276*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 61 + 24. Calculate the remainder when u is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p - 103. Give z(33).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9804 - 4898 - 4906 + 15638*d**2 - 10072*d**3 wrt d.\nAnswer: -60432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -433.0401 - -0.0401. Let y = -585 - z. Is 0.2 bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 384642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1712 - 1712.000000861. What is w rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000020087 rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -494.8 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 5*v = -0*v + 26, 2350*v + 9 = z + 2348*v for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14 - 539?\nAnswer: -525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/2)\/(1*5\/(-5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + 6 - (1 - -1). List the prime factors of (-4)\/2 + 22 - q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 7*t. Let d(r) = -r. Let m(q) = 6*d(q) + u(q). Let i(p) = -3*p**2 - 1 + 1. What is i(m(o))?\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -160, -312, -464?\nAnswer: -616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 27, -10, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.4, -0.15104, -0.2, 2 in descending order.\nAnswer: 2, 0.3, -0.15104, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -34*b**2 - 101*b + 7. Let j be q(-3). Solve -j*a + 7 = v, 4*v + 15 = -v + 5*a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1121 is divided by 843.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 19*u**6\/30 + 20*u**3\/3 + 40*u - 20. Let t(j) be the first derivative of m(j). Find the second derivative of t(d) wrt d.\nAnswer: 228*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45168 and 90336.\nAnswer: 90336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5551515 - 6?\nAnswer: 5551506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.22 and -0.049.\nAnswer: -0.269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26.28 + 13.2. Let x = y - 0.02. Let q = x - -13.10063. Round q to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3717 and 118.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 97*v**2 + 2546*v + 639. What is o(-26)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*a**2 - 31*a**2 - 3*a**3 + 55*a**2 + 25*a**3.\nAnswer: 22*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8067861 to the power of 1\/4, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 8250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4954 is divided by 2434?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -6. Let h = o - -1.7. Let k = -29 - -57\/2. Which is the closest to -2\/7? (a) h (b) 0.3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 12. Let c(k) = 11*k - 56. Calculate the smallest common multiple of 2 and c(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7222559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 10*k - 1403 = -11*k, -1415 = -2*q - 5*k. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2070, 8323, 18760, 33381?\nAnswer: 52186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 417?\nAnswer: 13344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 360 and 234?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1848795 and 1232530.\nAnswer: 3697590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4*t**3 + 2*t**2 + t. Let o be w(-1). Let a be (-10)\/(-3) - 6\/(-9). Let r = -2 + a. Solve o*m = r*m + 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 3\/344, 0.5, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -162 + ((-8)\/2 - 2). Does 3 divide (8\/10 - q\/35)*5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 19*v - 89. Let s be g(-12). Suppose -5*f + 0*f + f = 0. Let d(t) = -t**3 + 3 - 5*t**2 - t + f*t - 7 - 3*t. Determine d(s).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -520 = -10*m + 110. Calculate the greatest common divisor of m and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a kilometer in meters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1215) + 1*sqrt(1215))\/(-1*sqrt(147)) + 3*(sqrt(245) + sqrt(245) + -3) + (-3 + sqrt(245))**2 + -2.\nAnswer: -18*sqrt(5)\/7 + 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/2)\/(6\/(-16)). Let b be (-3)\/(-5) + 0 + 340\/850. Sort b, a, -1 in ascending order.\nAnswer: a, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 12:37 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 5*l + 17*l - 27*l. Let a(o) be the second derivative of 0*o**2 + 0 + 2*o + 1\/3*o**3. Give a(w(j)).\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50035.19ng to grams.\nAnswer: 0.00005003519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 15 = -5*i, 0 = -4*g + 2 - 6 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -14. What is the highest common factor of h and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 199836?\nAnswer: 2198196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -2455.6 to the nearest 100.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.01 and 10.98331.\nAnswer: 10.99331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -13c8ca (base 14) in base 2?\nAnswer: -10100111111010000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7150880*a**3 + 3553*a**2 - 10*a - 5 wrt a.\nAnswer: -42905280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 71613519941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1284.4 to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**3 - 2*b**3 - 890*b + 884*b.\nAnswer: -2*b**3 - 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**2 - 2*k**5 + 3*k**2 + (0*k + k**2 + 0*k)*(7*k**3 + 33*k - 33*k).\nAnswer: 5*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 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: What is the value of -1 + 14 + -20 - (-20 - (2 - 5))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 783 - 397*m + 80 - 126*m - 85 + 221 wrt m.\nAnswer: -523","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -508942 * -29.\nAnswer: 14759318","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a decade in months?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*w - 8 = 0. Put w, 17, -3 in ascending order.\nAnswer: w, -3, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + (-238)\/255)\/((-1)\/(-21)).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122210 (base 3) in base 11?\nAnswer: 3a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2159*j*q**3 - 6439*j*q**2*z - 3*q**3 - 7442735*q*z wrt j?\nAnswer: 2159*q**3 - 6439*q**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -96239\nAnswer: 96239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 0*a - 4*k - 20 = 0, 0 = -5*k - 25. Suppose -3*d + 13 = 1. Suppose -4*i + i - 3*c - 15 = 0, -14 = d*i + c. Put a, i, 4 in decreasing order.\nAnswer: 4, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.29 at least as big as -0.96?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r**2 + 21*r + 15. Determine q(-10).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*l = -26*l + 10*l + 2040 for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 2\/5, -812?\nAnswer: -812","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*o**5 + 24*o**5 + 10*o**5 + (-4052 + 10*o**5 + 4052)*(2 + 0 - 3).\nAnswer: o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 828.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*g - 170*g - 480 = 0, 2*j + 2*j - 3*g = 7*j - 36 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1875 - 6*(-2)\/4. Suppose -v - 698 = -4*r. Suppose -2*o + o + g = -129, -5*o + 4*g = -r. What is o rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24 + 24 + 2*f**2)*(-2 - 2 + 3)*(1 + 6 - 3) to the form w*f + h + o*f**2 and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1783.243 - -1784. What is u rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8575 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 + 28 + -25 + -23?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 2*t + 0 = -7, 2*t = 8 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, -0.4, 0.01 in descending order.\nAnswer: 2\/13, 0.01, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in nine tenths of a minute?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-6*(sqrt(12)\/sqrt(216) + 1)*1*3)**2.\nAnswer: 432*sqrt(2) + 1368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a + 42. Let l be u(-13). Suppose 91 + 280 = 5*v + 4*k, l*v + 4*k = 221. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -26*z + 193. Let s be i(8). Let n be s\/(-18) + 2\/12. Solve -u = -2*v - 9, -4*u + u - n = v for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3634, 4418, 5202?\n\"Answer: 784*k + 2850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -271 and -3?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-180)\/72)\/(10\/(-12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4*b - 48, 2*a + b - 60 = -2*a. Suppose -3*u + 286 = 100. What is the remainder when u is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*q = 47*q - 69*q - 1804 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 10366929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -3 (b) -1\/6 (c) -0.1 (d) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2 = -5*g, 0 = 2*j + 2 - 0. Suppose -2*b + b + 26 = g. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*h - 4*t - 17 = 0, 0 = 4*h - 4*t - 12. Let d be 1\/(h + 64\/63). What is the greatest common factor of d and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001983688175 rounded to 7 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -633655*j = -633654*j - 9*i - 35, -2*j - 10 = 2*i for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z + 2. Let p be j(8). Suppose 4 = 6*w + p. Let s be ((-26)\/(-195))\/(w\/(-6)). Sort -2\/5, -5, s, -2.1.\nAnswer: -5, -2.1, -2\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-6)\/b*b\/b**(-1))**38 assuming b is positive.\nAnswer: b**(-152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 4) to base 16\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 4. Let z be (15\/(-6))\/(m\/2). Is 698\/8 + z\/20 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3653*j**6 - 7*j**2 + 57 wrt j.\nAnswer: 438360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -10111100000001010101?\nAnswer: 10111100000001010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v - 22. Let h be u(8). Let p = 151 + -146. Solve -5*r = 4*q - 0*r - 18, p*q + 4*r - h = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -107*r + 11680. Give s(105).\nAnswer: 445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((4 - 2) + -4 - -1)*0. Suppose j = -8*v - 13*v. Solve -1 = -v*y - y + i, y + 5*i = -23 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-4) - (-3)\/(-12))\/(116\/(-41528)). Solve -19*v - p = -312 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**2 + 20*r**2 - 7*r**2 - 5*r**2.\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9297?\nAnswer: 3, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + n**2 - 1. Let v be s(1). Let l(i) = -i**4 + i**2. Let a(q) = 4*q**4 - 3*q**2. Let k(r) = v*a(r) - 3*l(r). Determine w, given that k(w) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 14, 645?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -125, -425, -891, -1523, -2321?\nAnswer: -3285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4005 - 4009. Let w = -1 + -3. Let u be w*t\/16 + -2. Is u at least as big as 2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 5*x - 2. Let i be 2\/5 + 13\/5. Suppose -5*y + 10 = 5*n, 2*y - 3*y = 2*n + 3. What is the remainder when y is divided by k(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**2 + 11986036*l + 35958144 = 0 for l.\nAnswer: -3, 2996512","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -k**5\/20 + 17*k**4\/12 + 3*k**3\/2 + 14*k**2 - 49*k. List the prime factors of d(17).\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by (4 - 5)\/(3 - (-232)\/(-76))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.86 - 1.87. Let x = 2.01 + j. Which is the biggest value? (a) -0.01 (b) x (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 m, 1 b, and 1 e when four letters picked without replacement from {e: 1, x: 2, b: 2, r: 1, l: 1, m: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 2:53 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 7:50 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -134274 or -134267?\nAnswer: -134274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 2*j - r + 15, -9*j + 4*r - 48 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 8*d**2 - 3*d. Let l(q) = -95*q**2 + 35*q. Give 6*l(r) + 70*m(r).\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from 0.1844.\nAnswer: -0.2156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 71020226911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 66399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -166 in -3, -4, -1\/4, 1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 140270025 to the nearest integer?\nAnswer: 11844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -23 - 23) + 37?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/27 - (24 - 57743\/(-3051)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*p**3 - 16*p**2 + 10*p**3 + 2*p**2 + 2 + 0*p**2 to v*p**3 + x*p**2 + c + l*p and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14257*o**2 - 13110*o wrt o.\nAnswer: -28514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -119, -71, -90, -3, 3 in decreasing order.\nAnswer: 3, -3, -71, -90, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 3*l + 4. Let v be f(-8). What is the third derivative of -5*y**2 - 44*y + 0*y**2 + v*y + 7*y**3 wrt y?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/9 + (-1344)\/(-216). Suppose -2*f + t*f = 288. Calculate the remainder when f is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 50873\/3 - 16614. Let h = j + -343. Let q = -1.8 + -0.2. Which is the closest to q? (a) h (b) 5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 48, -85, -374, -813, -1396?\n\"Answer: n**3 - 84*n**2 + 112*n + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + sqrt(1053) + -1 + sqrt(1053) + 1 + 5)*2.\nAnswer: 10 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.19286 to 3 dps.\nAnswer: -0.193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.536 in -8, -1.52, 0.3?\nAnswer: -1.52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h - 29. Let o(d) = 2*d - 2. Let l(z) = 11*z - 10. Let t(m) = 2*l(m) - 10*o(m). Calculate a(t(y)).\nAnswer: -8*y - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -10110010011101010101101010?\nAnswer: -10110010011101010101100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1179\/4 or -296?\nAnswer: -1179\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -128 divided by -3.\nAnswer: 128\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12874?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 - 595046*f - 7140696.\nAnswer: (f - 595058)*(f + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3*o = 24, -v + o = -0*v - 4. Solve -v*q = -7*q - 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/110 and 23\/(-6) + 1*(-8)\/20.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) + (sqrt(209)*2 + sqrt(209))*1)*-2)\/(sqrt(539) - -6*sqrt(539)*2)*-5.\nAnswer: 40*sqrt(19)\/91","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r + 4*o + 4, 69752*r - 69750*r - 5*o = -23 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 84e31 - -1?\nAnswer: 84e32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a. Let c(i) = 35*i**2 - 2*i - 552. Determine c(p(d)).\nAnswer: 560*d**2 - 8*d - 552","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zrzzzzzzrzz?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -9, 5, -3, -787.\nAnswer: -787, -9, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11\/3 + 18\/(-27). Let r be (2\/6*q)\/1. Suppose -2 = 3*y + r. Is y less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*n = 5*n. Let c be ((-4)\/5)\/((-1)\/5). Let f(t) = -t**2 - 3*t + 2. Let r be f(-2). Solve n = r*h - c*m + 28, h + 0*m = 2*m - 9 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 3191*y + 836052. Give o(-288).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-557*s**2 + 635*s**2 - s**3 + 3*s**3)*(48 + 45 - 1) in the form t*s**3 + x*s**2 + f*s + c and give x.\nAnswer: 7176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -91, -3, -13.\nAnswer: -91, -13, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/36*-15)\/(8\/12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12390\/17 or -730?\nAnswer: -12390\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.3 + -0.7. Let f = 0.0823 + -0.2823. What is the third biggest value in f, 2\/3, z, -1\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22002020 + -3?\nAnswer: 22002011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*q + 40 = -14*q - 120. Put 4, 5, q, -28, -3 in descending order.\nAnswer: 5, 4, q, -3, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -51 * 190.0694.\nAnswer: -9693.5394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9\/1267 - -6452\/16471. Which is the third biggest value? (a) -0.05 (b) -2 (c) h (d) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 15*q - 309. Let u be d(23). Calculate the greatest common factor of 240 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5565241579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-12))\/(-1)*-13*184\/(-598).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.162 - -0.062. What is the third biggest value in 2\/7, 35, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 745159 is divided by 4462.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -70709.9 and -0.5.\nAnswer: 35354.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, w: 6, a: 2, o: 2}. What is prob of sequence za?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006080656 to six dps.\nAnswer: 0.000608","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7825, -15650, -23475, -31300?\n\"Answer: -7825*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -930*j + 4335*j + 2263*j + 1782*j.\nAnswer: 7450*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/88 and 41\/4967712?\nAnswer: 54644832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1527087*u - 3054183*u + 1527053*u.\nAnswer: -43*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*o**3 + 47*o**3 + 52*o**3.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2587253 is divided by 7587.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1063528 or 1063511?\nAnswer: 1063528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 35\/(-105)*6\/(-8)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*p = -2*x + 38*p + 2, 0 = -5*p - 10 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + z - 2 = 0, -3*z - 8 = -20. Put 17, -1, w in increasing order.\nAnswer: -1, w, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - 10\/(-4)*2. Let h be 3\/((-1)\/y*3). Let p(k) = -k**2 - 4*k + 4. Give p(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -1\/6 (c) -285 (d) -10847\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10887, 10890, 10893, 10896, 10899, 10902?\nAnswer: 10905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) 0.2 (c) 0.049 (d) 0 (e) -13273\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12497*-0.35.\nAnswer: 4373.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 5558?\nAnswer: 16674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 243 and 37026.\nAnswer: 999702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1026387.\nAnswer: 3, 114043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0801 rounded to 2 decimal places?\nAnswer: -1.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39233 + 59262. What are the prime factors of s?\nAnswer: 20029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z - 6. Let a be b(-5). Suppose y - 3 = a*y - h, 6 = -2*y + 2*h. Suppose s + 4*n - 24 = y, -3*s + 2*n + 30 + 0 = 0. Is s a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**2\/9 - 747008*u\/3 + 69752619008 = 0.\nAnswer: 560256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/4*(-2944)\/1840.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -4.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 713*k**2 + 283*k + 294*k - 710*k**2 - 571*k.\nAnswer: 3*k**2 + 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11098 and 186?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 4*y = 2*m + 116, 5*m = 3*y + 145. Let g = -21 + m. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**3 + 5*k**2 - 3*k + 2. Let w be m(-3). Suppose -w*b - b = -81. Does 17 divide 2763\/b - (-2)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17710*c**3*s**2 - 73*c**3*s - 12*c**3 + 8*c*s**2 + 2*c*s - 8 wrt s.\nAnswer: -35420*c**3 + 16*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*z + 256*z**2 - 35*z + 22*z + 1.\nAnswer: 256*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**2)\/r*r**(1\/4))**17 assuming r is positive.\nAnswer: r**(-119\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -281, -275, -265, -251, -233, -211, -185?\n\"Answer: 2*w**2 - 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*z + 4*k, 0 = 2*z - 4*k + 4 - 0. Let g be (2 - (z - -1))\/(11\/22). Suppose -5*x - g*x = -266. List the prime factors of x.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -5*c - 2. Let d be ((-4 + 2)*-1)\/(1\/c). Let b = 2.96 + -3. What is the second biggest value in d, b, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vdgvg. What is prob of picking 2 v, 1 d, and 1 g?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*z + 58 - 26 - 32.\nAnswer: 15*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 363972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of g**2\/2 + 34. Suppose -v - 2*c + 110 = 0, -4*v + 3*c - 72 = -468. Let b(l) = 30*l**2 - v*l**2 + 43*l**2. Calculate n(b(d)).\nAnswer: -29*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -5 + 7 + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + ((-13)\/(-39) - 1\/3). Suppose 16*i - 12*i - 12 = d. Factor -29 - 2*r**i - 6*r + 2*r**4 - 10*r**2 + 29.\nAnswer: 2*r*(r - 3)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0036354906 to 4 dps.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 469*i**3*y**2 - i**2*y**2 + 847*i**2 wrt i.\nAnswer: 2814*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6 + 1)*(-5*b + b + 2*b) - 13 - 76*b + 20 + 65*b + 2*b - 6*b + 0*b.\nAnswer: -29*b + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3007*l + 284*l - 2485*l - 3582*l + 1978*l.\nAnswer: -6812*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrllrrlkrllllrrlk. What is prob of sequence lk?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10000102001 - 121?\nAnswer: -10000102122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 4*t**2 + t - 2. Let l be a(4). Let j(o) = -43*o**2 - 43*o**l + 88*o**2. Let c(b) = 80*b**2. Determine c(j(u)).\nAnswer: 320*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45894.\nAnswer: 2, 3, 7649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 303456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2947679?\nAnswer: 7, 19, 37, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2983768 - a**2 - 1518*a - 2983768)*(-3*a - 10*a + 5*a - 21*a) as x*a + w + n*a**3 + f*a**2 and give n.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 659 is divided by 341.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-6*1*sqrt(342))\/(sqrt(66)\/sqrt(44)))\/(3*((sqrt(3) - sqrt(144)\/sqrt(12)) + sqrt(21)\/sqrt(63) + sqrt(3))).\nAnswer: -12*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q + 33 - 1\/4*q**2.\nAnswer: -(q - 6)*(q + 22)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 13*i - 27. Let a be n(-12). Let b = a + 43. Factor 8*f + 4 - 2*f**2 - 8*f**3 + 3*f**2 - b*f**4 - f**2.\nAnswer: -4*(f - 1)*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*n + 17 + 21 - 38 to k*n + i and give k.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -161238, -163088, -164940, -166794, -168650?\n\"Answer: -s**2 - 1847*s - 159390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 499522.\nAnswer: 2, 379, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.36*-1.1.\nAnswer: -0.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -45510329667*t**2 - 84246228*t - 38988 = 0.\nAnswer: -114\/123167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -41 (b) -5 (c) 110 (d) -2.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*k - 90 = -4*a - 148*k, -2*k - 70 = -3*a. Calculate the remainder when 53 is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 * -0.58.\nAnswer: -0.0174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4364 = 5*j + 344. 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: Simplify (f**(2\/9)\/f)\/f*f\/(f**(2\/7)*f*f*f) assuming f is positive.\nAnswer: f**(-256\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 - 54 + 23)*(-3 - 8 + 10)*(5*v**3 - 4*v**3 + 3*v**3) + v**3 - 4*v**3 + 2*v**3 + (1 - 1 + v)*(-v**2 + v**2 - 2*v**2).\nAnswer: 25*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s. Let r(b) = -63*b**2 + 36*b + 197. Determine r(a(x)).\nAnswer: -63*x**2 + 36*x + 197","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + 9. Calculate the smallest common multiple of o and 34.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3 + 61862*d**2 + 7893760*d + 252338176.\nAnswer: 2*(d + 64)**2*(d + 30803)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 7 + 3. Let k(w) = w + 5. Let l be k(u). Let g be (-20)\/((-2)\/(4\/1)). Calculate the greatest common factor of g and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**2 + 15*p. Let y(z) = 3*z**2 - 15*z + 5. Let f(h) = -4*h**2 + 21*h - 7. Let n(g) = -5*f(g) - 7*y(g). What is q(n(w))?\nAnswer: -2*w**4 - 15*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (8 + -18 - -7) + 7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**2*j**2 - 106121*b**2*j + 7*b**2 + 18167*b*j**2 + 18*b + 22 wrt b?\nAnswer: -4*j**2 - 212242*j + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 12:21 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -360.452564 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 782266.37 to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 5*t + 27. Let u be t\/(-3)*8\/(-24). Let h(w) = -66*w - 1. Is h(u) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 35160*j**3 - 10025318*j**2 + 1344634*j - 1140 = 0.\nAnswer: 1\/1172, 2\/15, 285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -52*n**5\/5 + 7*n**3\/3 + 214*n**2 - n - 5459. What is the second derivative of u(i) wrt i?\nAnswer: -624*i**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 140 - 86. Suppose -j + 48 = 3*u. List the prime factors of ((-2)\/4)\/(3\/(-940 + u)).\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*-2*15\/(-90)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5712993221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 343020*w**2 - 1208 + 1208.\nAnswer: 343020*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.589428 seconds in microseconds?\nAnswer: 7589428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uzvozuzvzvazvzvvazuv. Give prob of sequence vvvo.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01527 + 562373886.\nAnswer: 562373886.01527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2862 = -9*m - 2880 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 8*m**2 - 5*m - 4. Suppose 52 = -319*j + 312*j - 11. Determine h(j).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w**2 - 3*w - 2*w**3 - 622*w**4 + 2*w**2 + 623*w**4 + w to h*w**3 + l*w**2 + t + d*w**4 + v*w and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171 + 171 - 778*d - 759*d.\nAnswer: -1537*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1249 - 1048. Calculate the remainder when b is divided by 44.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18\/17 in -1\/5, -1, -105.8324?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 27863?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(8\/(-6))*7. Let d = q + -21. Suppose d = -19*s + 17*s + 20. Calculate the lowest common multiple of 11 and s.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 230*n*o**2 + 23*n*o - 48*n + 170807576*o**2 wrt n?\nAnswer: 230*o**2 + 23*o - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 76*v - 69*v - 3101. Calculate the remainder when v is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*m = -832 - 260. Solve -1 = 5*g - m for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**3 - 1 + 1 - y**3 + y**2 + 3*y as n*y + h*y**3 + g*y**2 + u and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3428?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 40\/220 + 4\/99. Let i = 0.08 - -0.42. Let a = 2 - 3. What is the nearest to a in 1\/3, h, i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 - 31. Suppose 0*v + k*v = -56. What is the tens digit of (v\/8)\/(3\/(-36))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 2. Suppose -3 = 155*h - 156*h. Suppose 5*j = h*t - 18 + 49, -a = -2*j - 2*t. Solve 0 = -3*z + 4*z - o + 3, -j*z - 7 = 3*o for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2072551817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -93, 44, 0, -523, -13 in decreasing order.\nAnswer: 44, 2, 0, -13, -93, -523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -106*m. Let j be g(-1). Suppose -2*a = 5*z + 23 - j, -3*z + 49 = a. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -13*k**2\/2 + 15. Let m(f) = -3*f**2. What is m(s(y))?\nAnswer: -507*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h**5\/3 - 1050947*h**4\/3 + 122727604894*h**3 - 43004855254758854*h**2\/3 + 2407175979866667781*h\/3 - 2278164727719347869 = 0. What is h?\nAnswer: 3, 53, 350297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -2*k + 8, -223*k - 3 = -222*k - 2*t for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 divided by 10.\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -349 - 82*x + 349 - x**3. Let j(b) = 21*b. Give j(o(i)).\nAnswer: -126*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, -0.069, -2\/13?\nAnswer: -0.069","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5941 - -20?\nAnswer: -5921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2286, -10270, -23574, -42198?\nAnswer: -66142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, v: 1, q: 4}. Give prob of picking 4 q.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0019329 to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -20815\nAnswer: -4\/20815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1575?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/(-4))\/((-6)\/8). Let s be (-2)\/m*(2 + 0). What is the lowest common multiple of 18 and (s\/2)\/((-1)\/(-28))?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*p**3 + 50 + 182 - 2*p**4 - 8*p - 235 + 2*p**2 as m*p**3 + r*p + k*p**4 + i*p**2 + o and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -13*s + 3*s + 10*s + 3*s. Suppose -4*w - 13 + 45 = 0. What is the lowest common multiple of q(2) and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - 4*m - 2*w + 26, 3*w = 9. Suppose -m*r + 0*f + f = -25, r + 4 = 2*f. Calculate the remainder when 45 is divided by 15\/r*10\/1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*n - 1086 = -3775, 3*n + 6 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**4\/12 + 5*a**3\/6 + a**2\/2 - a. Let l be w(-6). Suppose -q + 6 + l = 0. Calculate the remainder when q is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3231 + 120?\nAnswer: -3111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 - 101?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.02 (b) -2 (c) -5\/6 (d) -29\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2213133001 (base 4) to base 9\nAnswer: -1255031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5*t**2 + 22*t - 5. Let r be g(4). Suppose 5*o - 15 = 0, -2*h + 4*o - 1 - 1 = 0. What is the second derivative of b**3 + h*b - 5*b**3 - 4*b**r wrt b?\nAnswer: -48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -4. Suppose -4*j - 5*d + 60 = 0, -5*d - 80 = -6*j + m*j. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0*z + 3*a = 6, a - 2 = 5*z. Suppose b + 5*n = n - 2, z = -2*b - 4*n. Find the first derivative of 6 + 1 - 2 - j**3 + b*j**3 wrt j.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 522 - 482. Suppose 12*u - z*u = 0. Are u and -4\/299 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*b + 35635932 = 0, -1 = b - 3. Let v = -2789165 + 407134. Let x = c - v. Round x to the nearest 1000000.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5832.44 kilometers?\nAnswer: 5832440000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + (2 - 5) - -4) + -6 + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 9:56 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.16 + 0.5. Let u = -0.34 + z. Let o = -16.49 + 11.49. Which is the second smallest value? (a) o (b) -2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39460 is divided by 7832.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 2) + (0 + (10 - 1) - 14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 11, c: 2, z: 6}. What is prob of sequence zz?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**4*a)\/a**(-2\/3)*(a*a**0*a)**29 assuming a is positive.\nAnswer: a**(194\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (81*t**2 - 81*t**2 - 4*t**4)*(1 - 2 + 2)*(-1 - 1 + 1) in the form n*t**3 + y*t**2 + q + o*t + f*t**4 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-130 + 1)*2\/(-3). Suppose -p + m = p. Is p a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -272, -281, -304, -347, -416, -517, -656?\n\"Answer: -r**3 - r**2 + r - 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4532 + 5235. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 316\/8 - (-3)\/(-6). Suppose 0 = -3*l - 3*a + q, -57 = -5*l - 3*a + 6*a. What is the lowest common multiple of (-4 - (-43)\/4 - 4)*8 and l?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 17. Suppose 0*v + 25 = c*v. Suppose v = 2*i - 3. Solve 0*g + i = 4*h + 4*g, -3*h - 1 = g for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = -a - 6. Suppose -a + 47 = -4*u. Let z = -24 + 80. Calculate the remainder when z is divided by u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15013550.\nAnswer: 2, 5, 17, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24.7 + 24.70000243. Round o to 7 decimal places.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**5 - 10*y**4 + 24*y**3 + 88*y**2 - 160*y = 0.\nAnswer: -5, -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (987\/(-6580))\/((-3)\/55)?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -8 - -1 - (0\/(-3) - 0). What is the tens digit of -174*n\/49 + 2\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**3 - u**2 - u - 1. Let y(t) = -3*t**3 - 48*t**2 + 2*t + 2. Give -2*x(c) - y(c).\nAnswer: -c**3 + 50*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 26*j**5\/5 + 42*j**4\/5 - 694*j**3\/5 - 282*j**2 - 140*j = 0.\nAnswer: -5, -1, 0, 70\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 29*g - 20. Determine v(0).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17547\/56 + -2406\/7. Let u = q - -30. Let i = -1.1 - -1.5. What is the nearest to -1 in i, -6\/11, u?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98036514.\nAnswer: 2, 3, 1815491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q + 3927 + 3478 - 7108.\nAnswer: q + 297","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14187341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 2 + -3 + (28 - 12)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -1\/656758 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 198 + 177. Let i be (6\/(-5))\/(10\/o). Solve -5*x + 3*l + 16 = 0, -3*x - l + i = -3*l for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2\/11, -2, 2\/5, -0.07?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 885390.8l?\nAnswer: 885390800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6174358741 to the nearest integer?\nAnswer: 1835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 832 divided by 274\nAnswer: 416\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 10:58 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (3\/3)\/((-3)\/((-45)\/(-3)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2191295.\nAnswer: 5, 438259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -93, -2, -136 in decreasing order.\nAnswer: -2, -93, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3c - -41e?\nAnswer: 45b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/(-90) + 8\/(-18).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 702*(70950\/(-2236))\/(-165)\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of t**6\/240 - 13*t**5\/120 - 17*t**4\/12 - t**2 + 2609*t - 2. Let j(l) = 0. Calculate l.\nAnswer: -4, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 233075.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4*x = x + 162, 78 = -2*i + 3*x. Let t = i + 44. Suppose -a - 108 = -t*a. Calculate the greatest common divisor of 12 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4055 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of d**2\/2 + 1591. Let b(v) = -471*v - 2. Calculate b(o(s)).\nAnswer: -471*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -5.4 (c) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 3*a + 2*a + (0*a - 5*a + 3*a)*(2 - 3 + 0) + (3*a - 2*a + a)*(-2 - 2 + 2) - 5*a + 3*a + 0*a)*(a + 3*a - 3*a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34\/2 + (-14 - 29) + 36)*-4.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.94 - 0.06. What is the third smallest value in 2\/5, y, -3\/4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - r = 7, -3*u - 159*r - 30*r - 905 - 1659 = -665 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.23 - -0.02. Let c = -0.11 - f. What is the third smallest value in 3, -0.3, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 + 3 = 8*u. Factor 16*z**2 - u*z - 9*z**3 + 25*z**3 + 2*z - 16 - 14*z**3.\nAnswer: 2*(z - 1)*(z + 1)*(z + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(9)\/sqrt(3)) + sqrt(28)\/(sqrt(4) - sqrt(100)).\nAnswer: 3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 4*z**2 + 3*z - 5. Let i = 12 - 21. Let g = -5 - i. What is d(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*g + 6 = 0, 0*g + 12 = o + 3*g. Suppose -3*a = -o*n + 75, -98 - 26 = -4*n - 2*a. List the prime factors of n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 7:19 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 18 = -3*k, -6*c = -c - k - 10. Suppose -c*h + 190 = 4*r, r + 0*h - 44 = h. Is 14 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -u - 6. Suppose -u*o - o = -32. What is the highest common divisor of 12 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -98, -2\/15, -2134.\nAnswer: -2134, -98, -2\/15, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(3\/17) + 19\/(-57). Let h(d) = -d**3 - 6*d**2 - 2*d - 7. Calculate h(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 5*i - 3. Let g be b(3). Let r be 6\/(4 - g) - 4. Solve 4*u = -2*h - 0*h - 8, r*u = -2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -438*k + 77490. Give w(179).\nAnswer: -912","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n + 3. Let r(h) = 177. What is -r(f) - 2*y(f)?\nAnswer: -4*f - 183","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.8266433 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60883 + -60736. Suppose -43 + 10 = -y. Calculate the remainder when o is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -16*l**5 + 236*l**4 + 2268*l**3 - 26776*l**2 - 100912*l - 23520 = 0.\nAnswer: -10, -3, -1\/4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 5*v + 15, -4*v - v - 4*l = 19. Let r(f) = f - 7. Let i be r(v). Let u = 3 - i. What is the remainder when u is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*x**2 + 33*x**2 - 8109623*x**3.\nAnswer: -8109623*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -174, -175, -178, -183, -190, -199?\nAnswer: -210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -1\/4, 5.6, -5, 0.4 in decreasing order.\nAnswer: 22, 5.6, 0.4, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/11, 3\/2, -5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 + 44. Let k(i) = -1218*i + 15 + 2*i**2 - 2 + 1188*i. What is the units digit of k(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of (-112)\/40*(0 + -35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-4 + sqrt(20))*3 + 4)**2 + sqrt(60)\/(sqrt(300)*-1 + sqrt(300) - sqrt(12)) + 4 + (-1 + sqrt(180))**2.\nAnswer: -157*sqrt(5) + 509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 14*i + 1253. Let u be ((0\/4)\/5)\/(-5). Is m(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1366 is divided by 599.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 32 = 4*f, 5*f = 4*l - 588 + 597 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 18 = -5*r + 5, -4*r = -4. Let z = d + 20. Let f(g) = 3*g**2 + 3*g + 4. Calculate the lowest common multiple of z and f(-3).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from -140781566.\nAnswer: -140781566.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4505 and 1060?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-5 + -6 + 0)*(-192 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 13*c + 52. What is the remainder when g(9) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 12 + 62)*(-144*s**4 - 43*s**5 + 144*s**4)*(-5 + 1 + 3).\nAnswer: 2451*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*t = -43*t + 16. Put -2\/9, 0.4, 0, t in ascending order.\nAnswer: -2\/9, 0, 0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, w: 7}. What is prob of picking 2 j and 1 w?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n + 4. Suppose h + 2 = 16. Let r be m(h). Suppose -r = 2*x - 310. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.4425062 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 46 + 6*2\/4. Suppose u - 17 = y. Let h = -81 + 85. What is the greatest common factor of h and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38574 (base 12) in base 2?\nAnswer: -10010110000101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 412, 473, 582, 745, 968, 1257, 1618, 2057?\n\"Answer: n**3 + 18*n**2 + 393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -972, -977, -982, -987?\n\"Answer: -5*g - 967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -131307 and -131306 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 6*z**2. Let d(c) = -3*c**2 - 5*c + 5. Let w(t) = -t**2 - 2*t + 2. Let f(u) = 6*d(u) - 15*w(u). Give f(i(y)).\nAnswer: -108*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) - -2*sqrt(152)*6)\/sqrt(8) - 5*(sqrt(76) + 5)**2.\nAnswer: -505 - 87*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196050 divided by -1307.\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide (3\/((-108)\/312))\/((-12)\/3888)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005331 rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-24*(-20)\/(-150))\/(4\/10). List the prime factors of (52\/p - 0)\/((-1)\/52).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*p + 28 = 0, 0 = -v - 2*v - p + 1. Suppose v + 3 = n. What is the second derivative of 3*b**2 - 3*b - 3*b**2 + 0*b**5 + 4*b**n wrt b?\nAnswer: 80*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 - -98. Let w be (-289)\/(-85) - 6\/(-10). Suppose -w*o - 9 = -x. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 832654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 8*b + 28. Let q = -28 + 31. Is j(q) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*l**2*s**2*x - 2*l**2*s*x**3 + 2*l**2*x - 4*l - 2*s**2*x**3 - 2*x**2 wrt x.\nAnswer: -12*l**2*s - 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -773b49 (base 15) to base 4\nAnswer: -111223113231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/286624 and -29\/2968.\nAnswer: 2006368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -493\/9 - -55. Let l = -119 + 119.1. What is the nearest to u in -0.4, -1\/4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 66 - 44. What is the least common multiple of b and (4 + 475\/(-114))*-348?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.689t in nanograms?\nAnswer: 46689000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 892 = 2*k, -5*k + 8*k - 1338 = 4*n. Does 11 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 487139663?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (4020\/1876)\/((-1)\/((-56)\/(-36)))\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ct when two letters picked without replacement from rtcttzegteecgggcgt?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.7074775 kilograms?\nAnswer: 707477500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 57438649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j + 1. Suppose 5*t = t - 16. Calculate u(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (1 - (-4 + 7)) + -16.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 344\/(-6)*(-2 - 1). Let v = x - 1894\/11. Let b = -38 - -40. What is the closest to 0.1 in 5, v, b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -3*z + 23, z - 163*b + 164*b - 1 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 2*i - 3. Let g be s(-4). Suppose 0 = -g*n + 2 + 18. Calculate the lowest common multiple of ((-26)\/(-8) - 105\/84) + 4 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**2. Let c(j) = 12*j**2 - 1. Suppose -2*n - 27 = n. Let z(k) = n*m(k) + 2*c(k). Differentiate z(y) with respect to y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 5. Suppose -5*r - 13 - 19 = -2*x, -4*x + 5*r = -44. What is the highest common factor of x and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*a**2 + 5*a**2 - 14*a**2 + 9*a + 5*a + 36*a**2 + 35*a**2.\nAnswer: -38*a**2 + 14*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 74 - 32. Suppose 200 + 206 = u*o. What is the remainder when o is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4, 2\/9, 10\/7, -0.3, -3, 9, -0.7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + -5)*3\/(-6). Find the third derivative of -10*w**2 - 10*w**h - 9*w**4 - w**4 + 10*w**3 wrt w.\nAnswer: -240*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.203634km?\nAnswer: 203634000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*15\/(-50)*-2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-5)*n**(-3)\/n)**(-11)*(n**(-1)\/n)**(-2\/31)*(n\/(n**0*n))**13 assuming n is positive.\nAnswer: n**(2732\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -5*x + 4. Let p(y) = 4*y - 3. Let g(k) = k**3 - 25*k + 2. Let u be g(5). Calculate u*r(o) + 3*p(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 + 1)*((-1 - 2 + 1)*(-2*f + 5*f - 5*f) - f - 3*f + 2*f + f + 2*f - 2*f + 2 - f - 2) as j + h*f and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4146*w**2. Let c(t) = -2*t. What is i(c(z))?\nAnswer: 16584*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1736 by 248.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 339300 to the power of 1\/2, to the nearest integer?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 91\/2 of a milligram?\nAnswer: 45500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*p**3 + 11*p**3 + 4*p**3 + 49*p**3 - 24*p**3.\nAnswer: 135*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/96 and 145\/96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/12 in 37, 4\/7, -4\/5, 1, -4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*t - 9*t. Suppose 5*a + 8*g - 5*g - 3998 = t, -798 = -a + g. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/6 + -1 + 1. Let d = 0.33 + -0.03. Let x = d + -4.3. What is the second smallest value in x, -0.2, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 3\/2 (c) 7 (d) -0.24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5 = -3, 4*m + 3 = -i. Let t = -1 + i. What is the third derivative of p**2 - 2*p**5 - 2*p**2 + t*p**5 wrt p?\nAnswer: 120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*sqrt(170)*3 + (-1*sqrt(170)*-3 - sqrt(170) - sqrt(170)))\/(sqrt(10) - 3*sqrt(250) - (1*sqrt(250) - sqrt(250))).\nAnswer: -6*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 2 (c) 1\/4 (d) 0.1 (e) 1 (f) -0.001\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 61*t + 2. Let y be k(1). Suppose -5*d + y = -67. What is the remainder when 50 is divided by d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.92 + 1. Let k = y - -0.12. Put 2, k, -5 in descending order.\nAnswer: 2, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1282 + -841. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 8*p**2 - 12*p - 18. Let c be 10\/55 - (-404)\/(-44). Let k be h(c). Is k equal to 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 17. Let k = -19 + 16. Let h(g) = -g - 7. Let s be h(k). Which is smaller: s or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -q + 14. Let o be (-48)\/(-27) + q\/(-63). Suppose 2*s - 247 = 3*b, 0 = -o*s - 4*b + 2*b + 272. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 20*d**2 - 26*d + 849. What is the hundreds digit of i(20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/20 - 768\/(-10). Suppose m*g - 82*g + 22794 = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 845010.8ng?\nAnswer: 0.8450108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1284 is divided by 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21020*y + 21020*y + y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiicdccsicmb. Give prob of sequence dcis.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 9*f + 2*f + 9*f + 0*f - 3*f + 4*f - 4*f + f + f + (1 + 3 - 3)*(1 - 2*f - 1) in the form r*f + o and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1110 and 487845.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7323 divided by 1535\nAnswer: 7323\/1535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (-7 - -17)) + (-3 - 0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sy when two letters picked without replacement from {x: 4, n: 2, i: 2, s: 4, z: 1, y: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 8*h**2 - 7*h - 1. Let r(z) = -z**2 + 1. Let u(t) = 3*r(t) - w(t). Let b be u(-2). Solve -b*i - 3 = -1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 469945633?\nAnswer: 469945633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 882 - 5?\nAnswer: 878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12\/14)\/(-6))\/(40\/(-112)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 43*s**3 + 10*s**2 + 128*s - 1436921?\nAnswer: 129*s**2 + 20*s + 128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 267\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2148*m - 20398 = -2806*m for m.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 839676127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4\/2625 - 202253\/84000. Find the common denominator of -27\/20 and h.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -368.5 and -13896?\nAnswer: 5120676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-11) - (-3 + -1). Suppose 4*l + 8 = -2*s, -5*s + d*l - 1 = -9. Sort 9, s, 1 in increasing order.\nAnswer: s, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2705237 is divided by 28.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -911, -960, -1041, -1154?\n\"Answer: -16*k**2 - k - 894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -j**5\/270 + j**4\/54 - 65*j**2\/2 - 2*j + 75. Let x(z) be the first derivative of t(z). Factor x(m).\nAnswer: -2*m*(m - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (66*m - 38*m - 15484 + 15485)*(-1 - 4 + 1) as z*m + n and give z.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*g - 2 = 0, 4*v - 5*g = -12 + 27. What is the units digit of (2\/4)\/(v\/240)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 - (34 - 10 - 45)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 - 33 + 12 - 24 + 30*u**2.\nAnswer: 30*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80, -272, -648, -1280, -2240, -3600, -5432, -7808?\nAnswer: -10800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59873131?\nAnswer: 59873131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2233837.\nAnswer: 1289, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 6 - 26 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z**3 + 16*z**2 - 3*z + 1. Let o be r(5). Let m(v) = v**3 - 12*v**2 + 11*v + 1. Determine m(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 2*s + 2. Let h be 28\/21*(-6)\/4. Let k be r(h). Suppose -16 = -4*i + 5*x, -5*i + k*x = -2*x - 20. Solve 12 = -i*j + 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7713674, 7713679, 7713688, 7713701?\nAnswer: 7713718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -4)\/((-33)\/44). Let r be (3\/c)\/((-45)\/24). Are r and -5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -46 (b) 4\/3 (c) 0.7 (d) -0.5 (e) 375 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 79 - 79\/9243*9217.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 20 = 16. Let w be 0\/(-3) + 4 + -4. Let g be -3 + 4 + (3 - w). Solve k*h - g*v = -4, -5*v + v - 23 = 5*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/30591 and 83\/30591.\nAnswer: 30591","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.7975252 micrograms?\nAnswer: 0.0000000007975252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4900 - 4869. Calculate the remainder when 793 is divided by t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by (-148)\/(-14) - (-30)\/70.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**5\/21 + 92*x**4\/7 + 88*x**3\/7 - 1364*x**2\/21 + 274*x\/7 = 0. What is x?\nAnswer: -137, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccsc when four letters picked without replacement from {s: 4, c: 6}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -347809, -347804, -347799, -347794, -347789, -347784?\n\"Answer: 5*v - 347814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.16, -0.072, -2\/11, -1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 15*i**2 - 14*i - 13. Calculate x(-14).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 + 340*z**2 + 8732*z + 60236.\nAnswer: 4*(z + 11)*(z + 37)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -58206\/197 >= -295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1332? (a) 2 (b) 1\/5 (c) 1.1 (d) -0.3 (e) -4 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5084452183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 61853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0, 5, 18, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177316 is divided by 572?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 6 = -3*w + 5*u, -2*u = 5*w + 30. Let v(o) = 4*o - 3. Determine v(w).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 8*z = -16*z. Solve 6 = 2*s - 5*j, 3*s + 2*j - j + 8 = z for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3095216237?\nAnswer: 23, 134574619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*f = -121*f + 49 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 2*h**4 + 1 - 8*h + 0*h**4 + 1 in the form r*h**4 + c*h**2 + p*h**3 + u*h + d and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61713 is divided by 2229.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 85.62802um?\nAnswer: 0.08562802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 631, 628, 623, 616?\nAnswer: 607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 550032?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -0.3 (c) -1 (d) -51 (e) -6\/5 (f) -3 (g) -151\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*i + 19*i = -3*u - 157, 5*i + u = 201. Calculate the highest common factor of 160 and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 40 = -2*w, -5*c - 49 - 13 = -4*w. What is the greatest common factor of 90 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*t - 234*t + 622*t - 4110 = 162*t for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is -6212.61186 rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*n - 686 = -17*n. Let b = -98 - n. Sort -3, b, 58 in decreasing order.\nAnswer: 58, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341072405 to the power of 1\/3, to the nearest integer?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -0.05 (b) -305 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.516*-0.01.\nAnswer: -0.00516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 664 + -646. Suppose -13*d = -x*d + 7935. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.15? (a) 78 (b) 0.1 (c) -3 (d) -80\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 10:17 AM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1370\/24 + (-3)\/36. Factor -17*x**3 + r*x**3 - 19*x**3 - 22*x**3 + x.\nAnswer: -x*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b + 0*b + 3*b + (b - 4*b + 2*b)*(3 - 2 - 2) + 4*b - 2 + 2 - 4*b + 4*b + b.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 98124029 to the power of 1\/3, to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 + -41. Let c be y\/(-8) - (-1)\/(12\/27). Calculate the common denominator of -28\/3 and 176\/(-54) + (-1 - c)\/(-3).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.57 to 2 dps.\nAnswer: 4.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 59*v + 1117. Determine w(-19).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210192 is divided by 4472?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z + 4*z - 3*z + 0 - 3. Let f be k(-6). What is the least common multiple of (-284)\/(-18) + 2\/f and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - -2)\/((-2)\/(-8)). Let f be j\/3 - (11 - 14). Which is the smallest value? (a) f (b) 12 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5003.24476 and 334848?\nAnswer: 339851.24476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5894*a**2*l**2 + 388*a*l**2 - 7*a*l wrt a.\nAnswer: -11788*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**15*x*x*(x**(-2\/31)\/x*x)\/x*x**(7\/5)*x*x**20\/x assuming x is positive.\nAnswer: x**(5787\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 8*b**2 + 7*b + 13. Suppose -29 = -w - 5*r, -5*r - 104 = -2*w - 106. Let k be s(w). Put 4, k, -10 in ascending order.\nAnswer: -10, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/4 + 3628092*l**2 - 14512371*l + 14512372.\nAnswer: (l - 2)**2*(l + 14512372)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 23*b**2 - 6. Let v be (3\/9)\/((-6)\/(-15) + (-3772)\/8280). Let p(w) = 621*w**2 - 161. Calculate v*p(r) + 161*x(r).\nAnswer: -23*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -14, -93, 10\/3517 in decreasing order.\nAnswer: 10\/3517, -2\/13, -14, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 5:23 AM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*d + 8*d = 96*d - 1230. Solve -3*b = 3*u + 29 - 50, -d = -2*u for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, i: 1, k: 2, q: 13, j: 2}. Give prob of picking 2 j, 1 o, and 1 k.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -10, 2, -2, -5, 0, 1702.\nAnswer: -10, -5, -2, -1, 0, 2, 1702","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.4 + 16.2. Let v = -13 + n. Let i = v + -0.7. Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 1) + -1 + -5 + 2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7366 is divided by 735?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.1 + 4.1. Let y = 4 + -6. Put y, x, -3 in descending order.\nAnswer: x, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2130 - 73*m**2 - 56*m**2 + 2130.\nAnswer: -129*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4720 + 7739. List the prime factors of h.\nAnswer: 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*q + 207 = 0, -2*i - 4*q + q = -119. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -391372956260 and 0.63.\nAnswer: -391372956259.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) 2\/3 (b) 0.1 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 13*k**2 + 13*k - 26. Let o be b(12). Let r = -31 + 19. Is r greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1221 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1003*v**5 + 123*v**3 + 3695908*v**2 wrt v?\nAnswer: -60180*v**2 + 738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(76))**2*4 - sqrt(171)\/sqrt(81)) + -3*sqrt(57)\/sqrt(3)*-4 + -4)*4.\nAnswer: 140*sqrt(19)\/3 + 1204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44720 and 90430.\nAnswer: 404402960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) 139 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201313 - -300310?\nAnswer: 32331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 669 divide 1685651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-8))\/(28 - 68).\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10538969 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*d - 41141*d**3 - 3*d + 40737*d**3)*(0 - 1 - 4)*(2 - 2*d - 2) to j*d**3 + a + s*d**2 + f*d**4 + q*d and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1991850854 a multiple of 1588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in 4, -0.3, 1.1, -6092?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26088 or 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1310996215 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -6984?\nAnswer: -6983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 3*u**5 - 84*u**4 - 468*u**3 - 870*u**2 - 687*u - 198 = 0.\nAnswer: -2, -1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -9195*d + 46074. What is p(5)?\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (1 + 6 + -8 + 8 - 1)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 1 - (247 + -215) - (3 + -14)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11, -13, 33, 169, 437, 879, 1537?\n\"Answer: 7*h**3 - 18*h**2 + 3*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32982582?\nAnswer: 2, 3, 317, 17341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, w: 2, x: 7, p: 8}. What is prob of sequence pn?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**5 + 930*y**4 + 25195*y**3 - 272730*y**2 - 297000*y = 0.\nAnswer: -150, -44, -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 5.5\nAnswer: -1.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*a**3 + 98*a + 17*a**5 - 147 - 143 + 8*a + 287 wrt a.\nAnswer: 340*a**3 + 126*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 8*f**2 + 5*f - 5. Suppose -2*v = 2*v - 8. Is n(v) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - 26. What is the units digit of -3 + (a - (3 - 36))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -23*x. Let k(b) be the third derivative of b**5\/60 - 11*b**3\/3 - b**2. Let o(p) be the first derivative of k(p). What is o(a(l))?\nAnswer: -46*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 7:36 AM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 132*z - 127*z + 13, 0 = 5*k - 4*z - 23. Solve k*b - 760 = -757 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.29 * 974870.\nAnswer: 282712.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = -4*q + 9*m, 62*q - 65*q + 5*m + 27 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -38601?\nAnswer: 38604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yzyv when four letters picked without replacement from jkyzv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of x**5\/60 + 91*x**3\/6 + 3*x**2. Suppose 3*s = s. Is m(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17.4567615627536 - 1.\nAnswer: -18.4567615627536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (5 - 7) - 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4*m**2 - 1 + 4 - 1 + m**3 - 6*m. Let i be c(-5). Solve -3*p + 5 = -i for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 39295675?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-22) - 60\/(-33). Suppose b*a = -2*f - 18, 13 = -4*a - 7. Let i be (2\/f)\/((-4)\/8). Solve 0 = -2*r + 3 - i for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yzzyzyyy. What is prob of sequence zyyz?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*d - 11*d - 18. Let v(a) = -4*a + 11*a + 14 + 20*a. Let j be v(d). Calculate the highest common divisor of 22 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1504, 6126, 13842, 24652, 38556, 55554?\nAnswer: 75646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191 = 5*r + 3*j + 1, r = -3*j - 48. Let y be (2 - r\/(-15))\/(184\/(-1362)). Let v = y + -52\/23. What is the common denominator of v and -95\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19334*r + 19312*r + 110 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 6 = -14. Suppose d = w*p + 76, -3*d + 0*d + 3*p = -237. Is 24 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8606887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w - 26. Let d(t) be the first derivative of -t**2 + 48*t + 6. Let u(y) = -4*d(y) - 7*f(y). What is u(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8605.9 and 7464?\nAnswer: -64234437.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (2010\/(-134))\/((-19)\/(-19))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-3)*-4*(88\/(-8))\/(-176). Let h = 27.6 - -5.4. Which is greater: p or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43 + 62. Suppose 4*a + u = 51. Let z(i) = -8*i - 1. Let m be z(-1). Solve -a = -5*f + m*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -5*s**3 - 9*s**2 - 4*s + 5. Let c(z) = 6*z**3 + 10*z**2 + 4*z - 6. Let g(l) = -4*c(l) - 5*o(l). Let d = 2 - 6. What is g(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 617941737 to the nearest integer?\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -209.9326 + -0.0674. Let u = 210.3 + j. Which is the second smallest value? (a) 4 (b) 30 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11737 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(2\/13)*x))\/((x\/((x*x*x\/x**(-1))\/x*x))\/x)*(x**(2\/7))**(-22) assuming x is positive.\nAnswer: x**(-222\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 13 - 8 - (4 - 1). Suppose 0 = l, 5*y - 6*l - 10 = -2*l. Suppose -y*u = z*u - 2400. What is u rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 876815885 a multiple of 1445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -241.781145 + 0.086145. Let p = -371.7 - g. Let y = 130 + p. What is y rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + (sqrt(7) - (3*sqrt(7) - sqrt(7)))**2)*3*-1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 8:10 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 57\/(-76) + (-787)\/(-4). Suppose d - t = -3*d. What is the common denominator of -37\/6 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -50709, -202942, -456663, -811866, -1268545, -1826694, -2486307, -3247378?\n\"Answer: m**3 - 50750*m**2 + 10*m + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9646 is divided by 58?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y - 33. Let k be b(9). Let j(t) be the second derivative of -1\/7*t**2 + k*t - 1\/14*t**3 + 0 - 1\/84*t**4. Let j(w) = 0. What is w?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 212993*g**2 - 108*g + 69.\nAnswer: 425986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1606\/(-174) - 1572\/15196)*(-48)\/1624.\nAnswer: 8\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*m - 3*u, -3*m - 2*u - 4 = -6. Suppose -m*v + 25261 = 5*f, -5*f + 2*v = -2*f - 15147. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a hour in seconds?\nAnswer: 5850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4 - 82*g**3 - 997*g**2 + 12168*g - 27216.\nAnswer: -(g - 4)**2*(g + 27)*(g + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 35*w + 29. Determine k(28).\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4158, -16234, -36204, -64068, -99826, -143478, -195024?\n\"Answer: -3947*w**2 - 235*w + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*b*i*r + 246*b*i + 480857*b*r - 3*b + 26*i*r - 21*i - 21*r + 1 wrt i.\nAnswer: 10*b*r + 246*b + 26*r - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-165)\/(-220))\/((-21)\/(-28)) + (1 - -9).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 261765 divided by 15\nAnswer: 17451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -7*n - 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 686307 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 100111011110011010 (base 2) to base 8\nAnswer: 473632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**4\/8 - 383*l**3\/8 - 2710*l**2 + 74171*l\/2 + 84630 = 0.\nAnswer: -310, -84, -2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 400 - 398. Suppose c*x = n, 2 = 5*n - 2*x - 14. Solve -4*o - n*z + 14 = -6, z - 3 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4*d = -20, -2*f - 2*d = -4*f + 10. Let u be 1 + (54\/2)\/3. Suppose f = 6*l - l - u. Solve 12 = 5*m - 4*t, -2*m - 2*m = l*t - 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1040507 * -1.\nAnswer: 1040507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8091998?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus -442.48346?\nAnswer: -442.18346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qpprpkqpqkrprpq. What is prob of sequence kpr?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 27 + (-24 - ((-5 - (-9 + 11)) + -4))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, a: 1, y: 1, e: 3, f: 1}. Give prob of sequence yf.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = y + 5*x, 2*y + 74 = 4*y + 2*x. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 3:54 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-6)\/14)\/((-336)\/(-147))?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 64*i**4 + 18*i**2 - 6*i - 108. Let d(a) = -3*a**2 + a - 1. Let p(g) = -6*d(g) - q(g). What is the first derivative of p(l) wrt l?\nAnswer: -256*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a milligram in micrograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1431681*b**5 - 6*b**2 - b + 208604?\nAnswer: 85900860*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18285 and 101760.\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4*i = 8, 13 - 21 = l - 4*i. Which is the closest to -0.1? (a) -0.03 (b) -1\/3 (c) l (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 25284*o**2 + 4 - 25282*o**2 - 37*o**3 + 7 + 0.\nAnswer: -37*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3533\/95 - 187\/5. Let u(m) = -7*m**2 + 2*m + 2. Let v(r) = -4*r**2 + r + 1. Let n(g) = -3*u(g) + 5*v(g). Let f be n(1). Is b at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4863244 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -157, -98, 1, 140, 319, 538?\n\"Answer: 20*i**2 - i - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9\/10 of a minute?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 3*c - c + 22, -4*c = -4*o + 4. Let m = 5 + -1. Let l(f) = 2*f**2 + 3*f**3 + 4*f - m*f**3 - 7*f + 2 - 7*f**2. Determine l(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 9) in base 15?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - i - 10. Let u be c(-7). Suppose -4*a + 76 = 2*r, 2*r = -2*a - 3*r + u. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 404086*f*u**2 + 607526*f*u + 3*u wrt u.\nAnswer: 808172*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7627 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -5*w**2. Let q(k) be the first derivative of 0*k**2 - 2\/3*k**3 + 44 + 0*k. Calculate q(m(o)).\nAnswer: -50*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 13*c - 180. Suppose -2*i - 5*w + 4*w = -6, 0 = 3*i - 4*w - c. Suppose -i*t = 3*h - 14 - 5, -h = t - 6. Solve -6*r + h*r + 5 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.488 - 0.28. Let j = 0.125 - l. Let m = j - -7.583. What is m rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 67806259*m**2 - 2*m - 7754603?\nAnswer: 135612518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 215370 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -204?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 4*n**3 + 16*n**2 - 20*n = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + z - 153, -2*c + 43 = 4*z - 69. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**2 - 10. Let k be r(0). Calculate the smallest common multiple of k*2\/3*-3 and 18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*d - 4*d + 0*d + 1847*d**2 + 1180 + 2*d - 1381 wrt d?\nAnswer: 3694","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/5)\/(6\/15). Find the second derivative of -5*s + s**4 - 4 + j + s wrt s.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*d = -7, -2*u - 4*d - 2 = -u. Suppose 4*z - 160 = 4*f, 7*z = 2*z - 25. Let i be (-18440)\/f + u\/9. Round i to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -14 - 2*m + 41 - m. What is the remainder when b(-7) is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (28 - 73 - 40)*(1 - 3 + 0)*(-1 + 0 - 1)*(-4*q + 2*q + 0*q)*(3*q + 6 - 3*q - q**3) in the form y*q + d*q**3 + p + a*q**4 + m*q**2 and give a.\nAnswer: -680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 2*c + 0*c)*(-7*c**2 - 10*c**2 - 16*c**2 + c**3).\nAnswer: -2*c**4 + 66*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -40403 smaller than -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o**2 + 0*o - 5 + 8*o**2 + 0*o.\nAnswer: o**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 30*r - 12. Let u(c) = -79*c + 33. Let j(b) = -11*k(b) - 4*u(b). Let f(t) = 2*t - 2*t - t. Calculate f(j(x)).\nAnswer: 14*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/3)\/((-421)\/(-1263))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 418\/22*(-1266)\/(-1094457).\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3*u + 2999 + 17177, 3*u + 10082 = i. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwuuwwuwww. Give prob of picking 3 w.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1*134)\/(-2 + 4). Let x = 69 - g. Factor -15 - 8*b**x + 5 + 25*b - 5*b**3 - 7*b**2 + 5*b**4.\nAnswer: 5*(b - 1)**3*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*89*(-3441)\/(-186). Suppose 5*i + 11550 = -0*i. Let b = i + c. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1430*2595\nAnswer: -3710850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10 + -7 + (-7)\/(21\/(-86592)). Is p*(7 - 60\/10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4585830, 18343329, 41272494, 73373325, 114645822, 165089985, 224705814?\n\"Answer: 4585833*n**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(24)\/(sqrt(32)\/(-2*sqrt(4))))**2 - ((sqrt(3) + sqrt(15)\/sqrt(5) + 5)**2 + sqrt(3) + sqrt(270)\/sqrt(10)).\nAnswer: -24*sqrt(3) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*k**2*q**3*s**2 - 2*k**2*q + k*q**3 + q**3*s**2 + 2*q**2*s**2 - 220*s**2 wrt q.\nAnswer: 96*k**2*s**2 + 6*k + 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4033 and 185?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008498 rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/5706 and -65\/27262.\nAnswer: 245358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1059?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13.9 + 3.1. Let z = v - 17.006. Let j = 0.0059967 + z. Round j to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7480)\/(-765))\/(14\/(-63))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -64 != -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 56, 0.04, 2\/17, -62\/13, 1 in descending order.\nAnswer: 56, 1, 2\/17, 0.04, -62\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(4*o - 3*o - 2*o) + (-4 + 0 + 2)*(-1 - 1 + 3)*(415 - 415 + 13*o - 1 + o + 1 - 2*o - 9*o - o + (0 + 4 - 5)*(-o - o + 0*o) - o + 4*o - 4*o).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39.8449 - -40.1379364. Let m = u - 0.293. Round m to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*g**3 + 9*g**3 - 4*g**3)*(10 + 181 + 271) to v*g**2 + c*g**3 + k*g + w and give c.\nAnswer: -462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 6*g**3 + 2*g**2 - 3. Suppose 24 = -5*t + t. Let p(z) = 7*z**3 + 3*z**2 - 4. Let c(w) = t*a(w) + 5*p(w). Let y be -1*(2 - 0)*-1. What is c(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - y**2 - 2*y + 3. Let k be (3\/2)\/((-3)\/(-4)). Let f be o(k). Find the third derivative of 4*z**f + z**2 - z**3 + z**3 wrt z.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1877, -8891, 29 in ascending order.\nAnswer: -8891, -1877, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -4*p**3 - 2*p**2 - 2*p + 3. Let v be j(-2). What is the highest common divisor of 31 and v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*u + 3. Solve 2*h = -6*i + u*i + 20, -2*i + 5*h = 14 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -310426403.2713 - -259.\nAnswer: -310426144.2713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -i - 20 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -506, -471, -400, -275, -78, 209, 604?\nAnswer: 1125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -205 (base 11) in base 14?\nAnswer: -139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40.9 - -17. Let p = 24.9 + m. Put 1\/8, 2\/17, 0.2, p in descending order.\nAnswer: p, 0.2, 1\/8, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -14. Let d be (21\/12 - 2)*-20. Suppose d*v + 2 = 27. Calculate the smallest common multiple of v and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -73 - (-103 - (-162 - -13))?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bi when two letters picked without replacement from {b: 9, i: 5}?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i + 20 = 2 - 0. What is the smallest value in -0.4, 68, 0, i, 0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/400845575 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-5*(sqrt(52)\/sqrt(4))**2*5.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/8)\/(1\/2). Suppose -9*r - 24*r = -429. Solve p = -3*j + r for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**3 + 3*m**2 + m - 6. Let l be v(3). Let f be (2 + -4)*(-28)\/(-1). Let y = l + f. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -183.41 less than 208?\nAnswer: 391.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 172\/(-688)*9\/(54\/1560)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -0*o - o. Put 2, -2, -6, o in decreasing order.\nAnswer: 2, o, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00228285644 to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1652898?\nAnswer: 2, 3, 13, 21191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 16*y - 29. Suppose -q - 763 = -3*u, 7*q - y*u - 3895 = 12*q. Round q to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 19 = -2*k, -5*o + 23 = 321*k - 317*k. Solve 14*c + k*c = -48 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120\/(-96)*56\/(-10) + 190\/(-25).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*i - 4 = 0, 3*y = -i - 2 + 1. Let c = 2 - y. What is the highest common divisor of c and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**3 + 3*h**3 + 4046 - 2*h - 2022 + 18*h**4 + h - 2016 + 4*h**2 in the form o*h**2 + p*h + c + v*h**4 + n*h**3 and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 2:16 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 (base 7) in base 5?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.68 times -9?\nAnswer: 114.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42 + -44. Let z be 1 + r\/(-7) + (-6)\/21. What is the closest to 2\/19 in 0, z, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10322 (base 4) in base 13?\nAnswer: -1b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1.581896mm?\nAnswer: 0.000001581896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44461573.\nAnswer: 13, 3420121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(10\/3))*p*p*p**(-1\/7)*p)**(-2\/73) assuming p is positive.\nAnswer: p**(20\/1533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.74 - 0.02.\nAnswer: 2.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, b: 4, q: 2}. Give prob of sequence bbqq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -18*t + 236. Calculate o(15).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b - 3*b - 2*b - b + 6*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23337 + -23336.9999988119. Round m to 7 dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4340*342.43.\nAnswer: 1486146.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3716416 to the power of 1\/2, to the nearest integer?\nAnswer: 1928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - w. Let u(p) = -p**3 + 3*p**2 + 3*p + 1. Let b(q) = 3*m(q) + u(q). Let s(i) = -12*i**3 + 15. Calculate -15*b(a) + s(a).\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17184*n - 157344*n + 6728*n - 116603*n.\nAnswer: -250035*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of f**4\/24 + 7*f**3\/6 - 4*f**2. Let q be k(-7). Round q to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121)*1*4)\/((sqrt(77) + 1*sqrt(77) + sqrt(77))\/sqrt(7) + sqrt(11)))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1084578*z + 359 - 3*z**3 - 1084578*z + 2414 to x*z**2 + g*z + j + t*z**3 and give j.\nAnswer: 2773","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12097719 and 331.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 3762050?\nAnswer: -3762050.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13285540, -13285530, -13285520, -13285510?\nAnswer: -13285500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*z + 21*z = 67*z - 497 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 6*w. Let n be j(-6). Suppose n = -5*t + t + 500. Suppose -10*u + 143 = -357. Calculate the greatest common divisor of t and u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/2)\/(78\/(-4))*2\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 49176 and 0.091.\nAnswer: 49176.091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -242 - -2?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 58967*a**2 - 4105.\nAnswer: 117934*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 504*-2.\nAnswer: -1008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/371220799?\nAnswer: -1\/371220799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 6:35 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*u + 3. Determine z, given that -6*z - z + 132*z**5 - 216*z**4 + 99*z**3 - u + 17*z**2 - 24*z**5 = 0.\nAnswer: -1\/6, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -4\/2003?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -s - 9, -5*s + 2*k + 24 + 19 = 0. Let p(y) = -17 + s - y + 9. Let x be (-40)\/(-6) - 4\/6. Calculate p(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36516 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 480 - -49.77.\nAnswer: 529.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + g - 1. Let p(z) be the first derivative of z**3 + z**2 - 1. Let f = -1034 - -1032. Let t = 0 - -1. What is f*x(o) + t*p(o)?\nAnswer: o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -2.02. Is z equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 10 = -4*v, -4*o = -3*v - 5 + 25. What is the closest to o in -0.1, 0.6, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(23*(-3255)\/(-16100))\/(9\/(-5)*-1)?\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -26*n - 1832. Let c be l(-72). Solve 69 = c*b + 429 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 7*l**2 - 2*l - 68. Let w be p(-8). Suppose 0 = 22*o - w*o. Factor -2\/11*v**2 + o*v + 2\/11.\nAnswer: -2*(v - 1)*(v + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -90 in descending order.\nAnswer: 0, -3, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -116 - -116.308. Let h = 1.1 - 0.8. Let a = h - q. What is a rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of y**4\/12 - 5*y**3\/6 + 3*y**2\/2 + y. Let p be c(5). Suppose -p*f - 2 = -17. Solve -f*w = -2*w + 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tntcnmmmnm. What is prob of picking 1 n and 2 t?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28\/442219 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1657 - -18. Suppose 2*t = 7601 - l. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 100\/31 + 79\/62. Let l(o) be the third derivative of 0*o - 1\/20*o**5 - 3*o**2 + 0 - u*o**3 + 3\/4*o**4. Factor l(r).\nAnswer: -3*(r - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4c7b + 0?\nAnswer: 4c7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 883 + -876.49. Which is smaller: f or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*(-1)\/(-4)*-2. Suppose 5*k + 2*u = 11, -2*u + 1 = 3*k + p*u. Solve 3*f + 0*d = -4*d + 15, 0 = 5*f - k*d + 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of 79\/42*o**7 + 2 + 5\/12*o**4 + 0*o**6 + 15*o + 0*o**5 + 4\/3*o**3 + 0*o**2. What is the third derivative of w(k) wrt k?\nAnswer: 4740*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**6))\/(b\/(b*b**(-1\/6)*b*b))*(b**(-2\/7))**(2\/67) assuming b is positive.\nAnswer: b**(22019\/2814)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.073 and 252.\nAnswer: -18.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + 32\/(-14) + (-240)\/(-56). Let f(o) be the first derivative of -16667*o**3 + 3*o**2\/2 + 4*o + 5. Let a be f(x). Round a to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**4 + 3*g**4 - 4*g**4 + 1 + (-4 - g + 4)*(2*g**3 + 0*g**3 - 3*g**3) - 2*g**4 - 2*g**2 + 2*g**2 - g**3 + g**3 - 2*g**4.\nAnswer: -2*g**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**3 - 8*i**2 - 1. Let v = -6102 + 6101. Let j(q) = -4*q**2 + 3*q**2 + 2*q**2. What is v*b(y) - 5*j(y)?\nAnswer: -2*y**3 + 3*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 - -4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 5*f - 2. Let b be y(-4). Let i(z) = -4*z**2 - 3 + 2*z**3 + 3 + b*z. Let g be i(2). Solve 2*c - 14 = g*s, 4*s - 6 = -3*c - 5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + 11 + (-9 - (22 - 7))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 8*a**4 + 9*a**3 + 11*a**2. Let t(r) = -33*r**4 - 36*r**3 - 45*r**2. Let f(v) = -21*b(v) - 5*t(v). Let f(l) = 0. Calculate l.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4 = 4*z, 10*z = -j + 9*z + 6. Suppose -x + 21 = j*i, 2*x - 37 = -3*x - 3*i. What is the greatest common divisor of 65 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.1 + -9.9. Let g = -8 - p. Let n = 0.01 - -0.39. What is the nearest to -0.1 in -2, n, g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -608986364 divided by -945631?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3994785 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 17817\/(-95024) - 334\/(-32)\nAnswer: 41\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19632475*n**3 + 9816231*n**3 + 9816237*n**3.\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 x when two letters picked without replacement from coxxcolxoxxxjllxxc?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 252?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.30926 and -1.\nAnswer: -0.30926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v + 9. Let r be i(4). Let b = -1 + 19. Suppose 3*l + 6 = 0, r*h - b + 3 = -5*l. Solve -10 = -z - h for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -305858 by 43694.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 6:35 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 2. Suppose 0 = d*u + 138 + 18. What is the units digit of (u\/6)\/((-8)\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*f**2*h**2*u + f**2*h**2 + 10550*f**2*h*u - h + 75619 wrt u?\nAnswer: -5*f**2*h**2 + 10550*f**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -18be + 6ba?\nAnswer: -1204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 28*g + 9. Let w = 18 - 14. Let p(m) = 30*m + 8. Let b(r) = w*p(r) - 3*i(r). What is the derivative of b(s) wrt s?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-90)*6\/(-7) - 9\/(-42)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 3*l + 16. Suppose -10 = -l*y + 26. Let w = y + 26. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -47 at least as big as -63\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3934 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2. Let l(q) = 96541663*q**2. What is l(t(n))?\nAnswer: 386166652*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*v - 4264 - 16445 = 867*v + 106*v for v.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/53 - 88\/5141. Let s(a) = 99*a + 1089. Let m be s(-11). Which is greater: f or m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07*0.065984\nAnswer: -0.00461888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -0.71.\nAnswer: 2.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 121477\/5340 - -2\/1335. Let z(i) = -i**3 - i**2 + 2*i - 5. Let d be z(0). Calculate the common denominator of d\/2*5\/2 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -133 - -232. Let o(z) = z**3 + 10*z**2 + 6*z - 16. Let d be o(-9). Calculate the highest common divisor of d and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 94 = -31*s + 32*s, 274 = 3*s + 4*r. What is the remainder when s is divided by (-28)\/(-42)*(-33)\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, w: 6, e: 6, o: 4}. Give prob of picking 2 e, 1 o, and 1 t.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 640046470?\nAnswer: 2, 5, 7, 47, 194543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -81466142.6 to the nearest 1000.\nAnswer: -81466000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243)\/sqrt(9))**2 + sqrt(3) + -4)*5 - (-4*(sqrt(33) + sqrt(99)\/sqrt(3)))\/(1*sqrt(539)).\nAnswer: 43*sqrt(3)\/7 + 115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2 + 13*f + 2. Let z be j(-10). Calculate the greatest common divisor of 8 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 9. Let t be (-1)\/(n + (-112)\/(-38)). Suppose 5*s - 6*s + t = 0. List the prime factors of s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 741 and 1311?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3 = -2*a + 22, -3*a = -4*r - 29. Suppose -8*m + 6*m + 40 = -2*l, -68 = -4*m + l. Solve -7*h = -a*h - m for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399 a factor of 12647901?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.414 + -0.3786. Let r = w - 0.04298. Round r to 4 decimal places.\nAnswer: -0.0076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x - 1 + 2*x**2 + 0 + 1 as i*x + f + h*x**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 231 or 173?\nAnswer: 231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.7487 + -0.0387. Round n to 1 decimal place.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 3*y**7\/70 - 11*y**5\/60 - y**4\/12 + 226*y**3\/3 + 135*y**2 + 2*y. Find the second derivative of u(j) wrt j.\nAnswer: 108*j**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 - -1 - -135) + (0 - 1). Suppose a = -4*i - 121. Does 21 divide i\/5*30\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 79\/2 of a litre?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3557*r - 2269 - 2478 - 155 = 2212 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 17 = n, -9*i + 5*n = -4*i + 40 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 237.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l**3 + 7*l**2 - 6*l - 8. Let q(z) = -2*z**3 + 4*z**2 - 4*z - 5. Let s(g) = -4*b(g) + 7*q(g). Give s(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 14.6. Let u = -0.60032 + x. What is u rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/2)\/(1\/(-5)). Suppose -3*c - y*u + 223 = 79, -4*c + 4*u + 224 = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23908 and 12371?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3870 divided by 774?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -24. Does 3 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, u: 2, a: 4, v: 3}. Give prob of picking 1 u, 2 v, and 1 a.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 3*y**2 - y - 3. Let t = -13 + 18. Suppose f = 3*f - 4. Suppose -z - 4*o = -19, t + 9 = -f*z + 5*o. Determine i(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5.7 equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 - 102. Let t = m - -238. Suppose 5*j - 8 = 5*x + 82, -2*j + 3*x = -36. Calculate the highest common factor of t and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -378 - -544. Let b = q + -116. Calculate the remainder when b is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110000011111 + 101001011101?\nAnswer: -111000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 83739, 666231, 2246237, 5322513, 10393815, 17958899, 28516521, 42565437?\n\"Answer: 83126*m**3 + m**2 + 607*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.63176 days to minutes.\nAnswer: 90189.7344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 152.0997 seconds in nanoseconds?\nAnswer: 152099700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2. Let v(o) = 5486256*o**2. Determine u(v(k)).\nAnswer: 30099004897536*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1998, 3993, 5990, 7989, 9990?\nAnswer: 11993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 3. Suppose 5*z = -0*z - 2*d + 5000000, -g*z + 2000000 = 5*d. What is z rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 27401*j + 411015. Calculate n(-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 6:29 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 28, -94 in ascending order.\nAnswer: -94, -1, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -377.05 + 377. What is the closest to 0.4 in -0.2, 4, b, -0.06?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 1195, 2, 0, -2, 0.17 in ascending order.\nAnswer: -2, -0.4, 0, 0.17, 2, 1195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 584410 and 15690.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 272387671*-5\nAnswer: -1361938355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10\/63 - 11131\/126. Let n = 88 + m. Which is bigger: 47 or n?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/5, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -480*t - 1920 = -475*t. Let b = t - -392. What is the remainder when 396 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 457 is divided by (-3)\/(-3*24\/(-18) - 4175\/1040)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3ce - 5?\nAnswer: -3d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -j + 594, -3*j + 2*w + 603 = -2*j. Suppose -2363 + j = -2*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-56)*(-16)\/(256\/1456)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 36494, 36495, 36496, 36497?\n\"Answer: w + 36493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/664, 0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 250, 265, 304, 379, 502, 685?\nAnswer: 940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 6*a**2 + 4*a - 4. Let p(m) = -13*m**2 - 9*m + 9. Let t(b) = -4*p(b) - 9*q(b). Let z(w) = 21*w + 5*w - 15*w. What is z(t(d))?\nAnswer: -22*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, o: 5}. Give prob of sequence oojj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -4*m - 0*y + 14, 3*y - 15 = 0. Let i be (1 - m)*(-8)\/24. Let x(p) = i - 3*p**2 + 5*p**2 + 5 + 1. Let r(l) = 4*l**2 + 13. Give 6*r(w) - 13*x(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4094, 3861, 3624, 3383, 3138, 2889, 2636?\n\"Answer: -2*t**2 - 227*t + 4323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*m**2 + 43*m**4 + 10*m**2 + 35*m**2 wrt m?\nAnswer: 1032*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25121236?\nAnswer: 2, 7, 257, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3128?\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 221.6 + -221.1. Let f = -0.08 - 0.12. What is the second biggest value in 3, i, f, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, m: 3}. Give prob of picking 1 m and 3 g.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (33\/(-99))\/((1\/849)\/(-57 + -16))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*i + 12*i - 6*i - 4*i to a + d*i and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7185777 decades in centuries?\nAnswer: 0.07185777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 + 0.9. Let i = 26.02 + -26. Let q = -0.12 + i. Which is smaller: q or m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 208 - 51. Let q = s - 161. Let u = -4 + 1. Which is the biggest value? (a) q (b) u (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + v = 4 + 38, -4*s = -4*v + 40 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25852\/9 + 2866. Is -7 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((0 + sqrt(13) + -1)**2 - (sqrt(65)*-1 - sqrt(65))\/sqrt(5)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 3*b + 19. Let f be ((-76)\/(-171))\/(b\/18). Find i, given that -30*i**2 + f*i**5 + 12*i**2 - 4*i + 0*i**4 + 18*i**4 + 18*i**5 - 16*i**3 = 0.\nAnswer: -1, -1\/2, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 317477665?\nAnswer: 5, 31, 2048243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -157 * -0.4.\nAnswer: 62.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 225, 424, 635, 900, 1261?\nAnswer: 1760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -z**5\/20 + z**4\/6 + z**3\/2 - z**2 + 3*z. Let u be k(2). Solve 0*q + u = q + 4*b, -3*q = 4*b + 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 394016 + 74215 + 156102 = -7806*l + 109137 for l.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-68)\/(-12))\/(1\/9)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -4 (c) 0.2 (d) -2\/141\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(95) - sqrt(95)*-2*3 - (sqrt(95) - sqrt(95)*-2*-6))\/(sqrt(60)\/((sqrt(96)\/sqrt(4))\/sqrt(2))).\nAnswer: -54*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 82, -2\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 16*g + 84. Let b be j(-5). Let v(l) = -l**3 + 2*l**2 + 12*l - 18. Let p be v(b). Let k(n) = 3*n**3 + n**3 - 3*n**3 - 1 + 3*n**2. Give k(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j**2\/2 - 9225*j\/2 - 13860 = 0. What is j?\nAnswer: -3, 1848","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (363\/(-55))\/(18\/12)*-1?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -190*40\/(-380) - 8?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17681.\nAnswer: 17681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b**2 - 39*b - 21*b**2 + 1 - 25*b**2 - 2*b**4 + 6*b**3 + 42*b**2 to the form t*b**3 + a*b + s*b**2 + k*b**4 + g and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-784)\/(-100))\/((-312)\/(-3900))\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25570 by 5.\nAnswer: 5114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10387 - -30. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*t = -3*t + 4, 5*u + 4*t - 104 = 0. Let z be u*-2*3\/(-18). Factor -z*a**3 + 3*a**5 + 5*a**3 - 2*a**4 + 2*a**2 + 0*a**2.\nAnswer: a**2*(a - 1)*(a + 1)*(3*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -72657 and 300.\nAnswer: -21797100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 q when four letters picked without replacement from {q: 4, e: 2, h: 9, a: 3}?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -403*t**2 + 388*t**2 + 4*t**3 - 2*t**3 - 5*t**3 + 2*t + 4*t**4 + t**3 - 1 to n*t**2 + p*t + j + f*t**4 + x*t**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 20 = 2*t + 4*y, 0 = -3*t + 5*y - 20. Suppose -2*x + 10 + 14 = t. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -0.3, -11, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 11*r**2 + 6*r + 4. Let p be l(-11). Let z = 65 + p. Suppose -4*v**2 + 2*v**z - 98*v - 93*v + 185*v = 0. What is v?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/(-108))\/((-5)\/(-6))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*a**3*f*n**3 + 3*a**3*f - 209*a**3*n - 4*f*n**3 + 3*n**3 wrt f.\nAnswer: 3*a**3*n**3 + 3*a**3 - 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1786*w + 1946*w - 98*w**3 - 3*w**2 + 3*w**2 + 1948*w - 5678*w.\nAnswer: -98*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s**3 - 96*s**2 - 7*s + 4. Let x(u) = -2*u**3 - 48*u**2 - 4*u + 2. What is 3*c(a) - 5*x(a)?\nAnswer: -2*a**3 - 48*a**2 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*p = -89*p - 184 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11907*c**4 - 756*c**3 - 12*c**2.\nAnswer: -3*c**2*(63*c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 2:56 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5815797 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n - 5. Let a be 34\/(-9) + 4 + 122\/18. Let q be p(a). What is the third derivative of 2 + 14*o**q + 4 - 11*o**4 - 6 wrt o?\nAnswer: -264*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -7*t**2 - 8*t + 15. Determine o(-3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196 - 580 + 5*h**2 + 195 + 189.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3\/7 - -11\/42. Let j = -4.4 - -0.4. Suppose 3*n - 3 = 0, 8 = 2*s + 5*n + 3. Which is the closest to s? (a) -0.3 (b) j (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-7) - 4\/(-14). Let b = 2 + r. Let t be ((-1)\/(-2) + -1)*0. Solve -b*s = -t*s + 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 + -10 - 1)*-1.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1570205*y**2 + 9*y - 3331?\nAnswer: -3140410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2 + 3643358*j + 18216765.\nAnswer: (j + 5)*(j + 3643353)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -62 - -64. Sort -3, n, 5 in decreasing order.\nAnswer: 5, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 768284.7 to the nearest one hundred.\nAnswer: 768300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 13*k - 1. Give b(-11).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16117, 3, -37, -6 in decreasing order.\nAnswer: 16117, 3, -6, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -23*q + 12796. What is s(556)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 796374.1 litres?\nAnswer: 796374100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - 713795.44022.\nAnswer: -713795.94022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**31\/i*i*i)\/i)\/(i\/(i*i**(-17\/4))))**(-34\/7) assuming i is positive.\nAnswer: i**(-1819\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3021 and 228.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3516 is divided by 1012?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4110 and 5?\nAnswer: 4110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 121196 by 2.\nAnswer: 60598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12295 - -629. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -2022816\nAnswer: 4045632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 6*q - 4*p - 40, 0 = -2*q - 3*p + 21. Suppose -6*a = -2*a - q, 60 = 5*i + 5*a. Calculate the remainder when i is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.41622 + 0.01622. Let d be 0 + (-2)\/14*-2. Let x = 185\/4 - 46. Which is the closest to x? (a) i (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 divided by -1736753?\nAnswer: -71\/1736753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0 + (-4 + 2 + 1)*(-1 + 6 - 4) + 1 - 4 + 4 + 0 - 2 + 1 - 4 + 0 + 2 - 3 + 2 + 2)*(2 + 2 - 2)*(-2*d + d**5 + 2*d).\nAnswer: -8*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -6011?\nAnswer: -6012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - (32 + 1 + -18).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4 + sqrt(6)\/sqrt(2) + sqrt(972)\/sqrt(9) - (5 + (sqrt(576) - sqrt(9))\/sqrt(3))))**2.\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -242, -4\/251, 0?\nAnswer: -4\/251","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**3 + 348*u**2 - 13260*u + 166464 = 0 for u.\nAnswer: 34, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10251 and 141159687.\nAnswer: 3417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -63*j**2 + 26*j. Let k(h) = -6*h. What is k(z(f))?\nAnswer: 378*f**2 - 156*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o - 11. Suppose -3*p + 22 = -u, u = 5*p + 2*u - 50. Let v be c(p). Let m = v - -19. Does 17 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1169, -1\/5, -4565 in increasing order.\nAnswer: -4565, -1\/5, 1169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -6*c**2 + 2*c - 3. Let g(u) = -13*u**2 + 5*u - 5. Give -2*g(p) + 5*w(p).\nAnswer: -4*p**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b = 10*b + 2*j + 1126, -5*b + 2*j = -1878. What are the prime factors of b?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3663\/404 + -5\/303. Find the common denominator of o and -113\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 8 = m. Let z(d) = -d**3 + 7*d**2 - d + 10. Let o be z(7). Let t = o - m. Let x(j) = j**3 + 5*j**2 + 4*j - 1. Calculate x(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12262384.\nAnswer: 2, 766399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 110 - 109. Let p(n) = 133*n - 3. Let g(c) = 40*c - 1. Let z(t) = -10*g(t) + 3*p(t). Let u(y) = 0 - 2 + 3. Determine d*u(f) + z(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2656 - -2706. What is the remainder when 891 is divided by m?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195*s**2 + 433*s**2 + 257*s**2.\nAnswer: 495*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1738844 to the nearest integer?\nAnswer: 1319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**2 + 3*l + 2. Let b be p(-1). Let w = 42 - 40. Let n be 6\/(3 + -1) - 1. Solve -b*y = d + 10, n*d = 5*y - w + 27 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g*g*g**(2\/13)*g*g*g))\/g)**(-1\/13)*(((g\/(g*g**(-13)*g))\/g)\/g)**(-5) assuming g is positive.\nAnswer: g**(-8370\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 738114 is divided by 245525.\nAnswer: 1539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 3*p + 3. Let j be y(3). Let i = j + 0. What is the remainder when 4 is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2332272007.\nAnswer: 13, 17, 1223, 8629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 954633.8 millimeters to meters.\nAnswer: 954.6338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of x**7\/420 - 2*x**6\/75 + x**5\/40 + 5*x**4\/12 + 531*x. Determine r so that p(r) = 0.\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3690 or 11072\/3?\nAnswer: 11072\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 103010351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 204619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3225778530 + -3225778524.749999617. Let h = w + -5.25. What is h rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 191340 and 115?\nAnswer: 4400820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -k**5\/20 + k**4\/6 - 12*k**2 - 9*k + 4. Differentiate n(d) with respect to d.\nAnswer: -3*d**2 + 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/5217 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 667?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (16 - 0)\/(4\/136). Round h to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 1 - 2054*f + 5995411*f**2 - 5995413*f**2 to r*f + z + l*f**2 and give r.\nAnswer: -2054","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26*a - 195*a**2 + 66*a - 21*a - 43 - 19*a wrt a.\nAnswer: -390*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**3 - 2*x**2 - 4*x + 4. Suppose l + 8 + 3 = -3*w, 0 = 4*l - w - 21. What is the units digit of k(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + (10 - 11) + -34 + (3 - -12) + -6?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 323*h**2*i**4 + h**2*i**3 - 2*h**2*i**2 - 39*h*i**4 + 6410*h - 2*i**2 wrt i?\nAnswer: 7752*h**2*i + 6*h**2 - 936*h*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 670911 is divided by 1752?\nAnswer: 1647","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - 4\/(-3))*-6. Solve 0 = -z + n*z + 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23505510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t + 3. Let j be 18\/(-8) + 2 - 2\/(-8). Let b be z(j). Suppose 3 = -b*v, -4*v = h + h - 94. Calculate the remainder when h is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 21*t = -22*t - 4, 4*s - 24 = -2*t. Suppose 0 = -2*a + a + 3. Suppose 2*g - 180 = -a*g. Calculate the highest common divisor of s and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3079, 3, 1, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -14*x. Let p(k) = 2*k**2 + 4*k + 1. Let d(y) = 4*y**2 + 5*y + 2. Let f(q) = -4*d(q) + 5*p(q). Determine l(f(z)).\nAnswer: 84*z**2 + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0048105436 to four dps.\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -14 (b) -2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -13, -42, -83, -130, -177?\n\"Answer: t**3 - 12*t**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert d9 (base 14) to base 6.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 20*p - 98. What is y(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 282309?\nAnswer: 3105399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 3*b**2 - b - 3. Let j = 5 + -8. Let g be f(j). Let a be (-10 - -5)*3\/(-3). Solve g = 5*q - 2*d - 4, -4*q + d = -0*d - a for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 16) in base 10?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 65*g - 11 - g**2 + 65*g - 129*g. What is k(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8280 is divided by 792.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - x. Let z(y) = -43*y**2 - 46*y - 21. Let u(m) = -4*w(m) + z(m). Let f(c) = 11*c**2 + 12*c + 6. Let k(j) = 18*f(j) + 5*u(j). Factor k(t).\nAnswer: 3*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 3*w = -126. Let x = -49 + 55. Calculate the lowest common multiple of x and w.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 10. Suppose 0 = 2*h - p, -4*h + 6*h = -4*p. Solve h = q*g + 5 + 10 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18 + 624\/64)*(-288)\/27\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6371 is divided by 213?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 168192 a multiple of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -1626.\nAnswer: 4\/813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -102, -12 in descending order.\nAnswer: 3, -12, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from guuguuuuuu. What is prob of picking 4 u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 69*o - 85*o + 432. Let u be (o\/(-18))\/(3\/(-2)). Sort -2.6, -1, u in increasing order.\nAnswer: -2.6, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5746, 11491, 17236, 22981, 28726, 34471?\n\"Answer: 5745*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 z when four letters picked without replacement from iiizziii.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-5))\/(216\/810)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 17*b**2 - 42*b + 61. Let g be c(-14). Calculate the highest common factor of g and 1525.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6*-1)\/(-3) + -2. Let y be (-3 - (-1 - g))*-2. Suppose 0*t = y*t - 4. Is 1 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -i**4\/12 + 7*i**3\/6 - i**2\/2 + 49*i. Let r be 6 - (1 + (1 - 1)). What is d(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 10 = -0. Let u be 1 - 1\/(o\/22). Suppose 0 = i - 2*f + 6*f - 21, -4*f = -u. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = o - 12, 0 = -5*o + 3*d - 5*d + 6. Suppose -2*z + 6*z - 2*m - 85140 = o, 5*m - 20 = 0. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 2*v, 2*v = -2*v - 12. Suppose 6*n - 9*n = 0. Let i be (-16)\/12*(-6)\/4. Solve -3 = -4*b - r - 9, n = 2*b + i*r + t for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -11. Suppose -2*g + 16 = -2*k, -5*k = a*g - 4*g + 48. List the prime factors of (-1)\/(k\/4 + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x**2 + 15895*x + 143460 = 0. What is x?\nAnswer: -9, 3188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 203549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(88) + 6*2*sqrt(88) - (sqrt(88) - (sqrt(88) + sqrt(88) + sqrt(88)*3*-4 + sqrt(88))))\/(3*5*sqrt(288))*4.\nAnswer: 2*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -2, -20, -54, -110, -194, -312?\nAnswer: -470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0164 - -63.2164. What is z rounded to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 5. Let x = b + -10. Let f = x - 6. Put 5, -4, f in descending order.\nAnswer: 5, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 d, and 1 m when four letters picked without replacement from {y: 3, d: 2, m: 6, a: 1, i: 2, l: 5}.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4017\/10 - -398. Let w = 16\/5 + g. Let u = -3.2 - -0.2. Which is the nearest to w? (a) 0.2 (b) -1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 758110000 rounded to the nearest one million?\nAnswer: 758000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h + 2. Let u be r(2). Suppose -2*g + 6*g - x - 37 = 0, -x - 5 = u. What is g rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/4983 and -20\/99?\nAnswer: 14949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 718307 and 302?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l + 2. Suppose 0 = -o - r - 3*r - 23, -5*o - 5*r - 40 = 0. Let s(u) = -1. What is o*w(k) - 6*s(k)?\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 34, 31, 28, 25?\n\"Answer: -3*t + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 30391 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 10134.2 to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 33 = -3*a, 0 = -5*f + a + 3*a - 34. Let r = -4 - f. Suppose r*k = -k + 12. Sort k, 1, -4 in increasing order.\nAnswer: -4, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 832834877.\nAnswer: 7, 47, 2531413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6670\/(-1450) - (-1 + (-12)\/(-5))) + 10. Let i(j) = j + 1. Calculate i(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 6, 0.9, -2 in decreasing order.\nAnswer: 6, 0.9, -3\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/720 and 3\/40.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 greater than or equal to 191\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -17*j**4\/4 - j**3\/3 - 297. Calculate d(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46 - ((0 + 1 - (-14 - -1)) + -6 + -22)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 17*c**2 - 12*c - 42. Let j be s(16). Solve -4*h + f + 24 - j = 0, h - 4*f = -7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-322)\/(-12) + 2\/(-36)*-3. Let p = -13 + i. Calculate the highest common divisor of 4 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -6*k**3 + 4*k**2 - 4. Suppose 0*g = 8*g + 40. Let s(f) = 7*f**3 - 5*f**2 + 5. Determine g*n(d) - 4*s(d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -251 + 281. Solve n = -8*y + 2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2*g)*(-6 + 3 + 1) + 2*g + 0*g - g - 2 - 82918*g + 2 + 72015*g in the form a*g + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 19*c**2 - 5789*c - 1828. Give o(305).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11217991391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 2380*t - 47 = -2384*t, 2*r - 4*t + 38 = 0 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 24*i - 93. Let o be d(5). Solve -2*f = -10, -o*f + 3*f = -4*t - 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 5*t - 1. Let a be z(1). Let g be 22\/11 + (0 - a). Let l = g + 7. Solve 0 = -2*s + l*m - 13, s - 3*s - 2*m + 8 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 2) to base 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2 = z. Suppose -4*n = -29 + 1. Let j(v) = -v**2 + 7*v + 9. Calculate the smallest common multiple of z and j(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17048 + -15931.9. Let b = 927 - p. Let r = 202 + b. What is r rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 111 + 36 = 0. Let k be ((-18)\/f)\/(3\/10). Suppose k*x - 10 = -2. Solve -x*q = -q - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -371*u + 373*u + 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of 0 - 1\/4*d**4 + 0*d**2 - 11\/2*d**3 + 109*d. Factor a(g).\nAnswer: -3*g*(g + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2070 divide 37841917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.142*-33\nAnswer: 4.686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.2 + -0.8. Let s = -28472.6 - -28473. Which is the third biggest value? (a) -0.06 (b) s (c) 0 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 + -32. Let g be (45\/81)\/(p\/6) + -3. Which is the closest to 0.2? (a) g (b) 7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2 - g - 2. Let r(z) = -7*z**3 + 8*z**2 + 2*z - 6. Calculate -3*a(h) + r(h).\nAnswer: -7*h**3 + 2*h**2 + 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -20*r - 25. Let c(q) = 9*q + 6. Let d(m) = 27*m + 19. Let x(f) = -17*c(f) + 6*d(f). Let g(y) = 4*t(y) + 9*x(y). Determine g(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.6 from 1911.7904.\nAnswer: 1912.3904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -29848, -59659, -89460, -119245, -149008, -178743, -208444, -238105?\n\"Answer: h**3 - h**2 - 29815*h - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, 1, 27, -3 in decreasing order.\nAnswer: 36, 27, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.12409 equal to 123565?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2001103 (base 4) to base 13.\nAnswer: -39c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17975147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/2*8\/10. Let i = 1 + v. Suppose a + 34 = 4*p, 2*p + 51 = 7*p + i*a. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 15) to base 3.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231*r + 82*r - 1937 = 0 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -20886 divided by 6962\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(13\/3)*(f*f**1)\/f assuming f is positive.\nAnswer: f**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from blommlobsmlss. Give prob of picking 1 b, 2 m, and 1 o.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5*c**2 + 6*c + 8. Let m be g(-5). Let l = -96 + m. Suppose 0 = -2*q + 4, 2*q + 4787 = -4*o + l*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 4 = 3*l. Suppose -o - 3*u - 5 = -u, -2*u = 4*o + 2. Suppose -l*f - 5*n + 95 = 0, 5 = -4*n + o. Solve f = -v - 3*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*m + 158 + 79 = 0, 176 = 3*c - 2*m. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -4*q**3\/3 - 5981*q. Let c(f) = 26*f + 4. Calculate z(c(u)).\nAnswer: -208*u - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -4, -2.1, 107510, -27, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -10. Suppose -j*g = -4*g + 10. Suppose 40 = -g*m + 110. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1678 + -1673. Sort -6\/23, -18, 0.5, u in increasing order.\nAnswer: -18, -6\/23, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 243*z**4 + 433620*z**3 + 193539036*z**2 + 85953120*z + 9547968.\nAnswer: 3*(z + 892)**2*(9*z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.17366 * 0.1\nAnswer: -0.017366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = f - a, 3 = -0*a - a for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -1085 + 1088 - 3*x**2 - 2*x + x + 0*x**2. What is s(4)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 20*b**2 - 3*b - 57. Let n be v(-20). Suppose -2 = 2*i + 2*z, n*z - 16 = -4*i + 4*z. Solve -2*l + 0*l = i*j - 11, 0 = 4*j + 3*l - 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 16*k - 20. Calculate u(3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qyyyysyyy. What is prob of sequence yy?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, -31, -3 in increasing order.\nAnswer: -31, -3, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -872718 (base 16) in base 5?\nAnswer: -4231413433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppp when four letters picked without replacement from {p: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -94*r - 1523. What is the remainder when y(-82) is divided by 68?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1931137 is divided by 779?\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - (-2)\/2*23. Let t(y) = -5*y**2 - 44*y + 271. Let p be t(-12). Let v = p - x. What are the prime factors of v?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21969484 is divided by 126.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12679 is divided by 5765?\nAnswer: 1149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/145 and (-3 + -1*179\/(-45))\/((-812)\/168)?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 9*j + 110. Let z be v(-12). Let m be (2715\/306 + (-2)\/12)\/z. Factor -20\/17*w**3 + 72\/17 + m*w**2 + 2\/17*w**4 - 120\/17*w.\nAnswer: 2*(w - 3)**2*(w - 2)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/137303 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.6 less than 12484?\nAnswer: 12480.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -120 + 647. What are the prime factors of d?\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 17, f: 2}. Give prob of sequence eee.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6603874 divided by 30293?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/8 (b) -7\/2 (c) -0.4 (d) -0.1 (e) 5 (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 53813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 486 - 518. Which is greater: 14 or d?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 10 + 7 - 11.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14054511 - 204*x - 14054511.\nAnswer: -204*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 24 = -3*v + 5*t, 0 = v - 5*t + 13 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 3. Let b(c) be the third derivative of c**7\/1260 - c**6\/360 - 49*c**5\/30 - 33*c**2 + c. Let j(y) be the third derivative of b(y). Determine j(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 2) to base 10\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67828138 divided by -9689734.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 342*i - 3847. What is the smallest common multiple of p(-11) and 1\/(3 - 68\/24)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568972 to the power of 1\/2, to the nearest integer?\nAnswer: 754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 102303694, 204607388, 306911080, 409214770?\n\"Answer: -f**2 + 102303697*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 2*t**2 - 2*t - 1. Let a be m(-3). Suppose 0 = 2*f - f - a. What is the greatest common divisor of f and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1424473 is divided by 474774?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -170, -375, -580?\nAnswer: -785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.38 and 3.633.\nAnswer: 1.38054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**(-1\/3)*c*c)*c**(2\/9))\/((c\/c**1)\/((c\/c**(-5))\/c)) assuming c is positive.\nAnswer: c**(32\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/(6 + 0) + 2. Sort 4, 33, z in decreasing order.\nAnswer: 33, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2173 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 2\/9, -6, -2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10697*i**4 - 3*i**3 - 5*i**2 + i - 1790672 wrt i?\nAnswer: 42788*i**3 - 9*i**2 - 10*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 1 = -4*u + u, m - 9 = -5*u. Let t be 2 + 0 + 2 - u. Suppose -4*y = -2*y + t. Which is greater: -2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-2)*(9 + -9). Suppose -32 - 1970 = 14*o. Sort 2, o, w in ascending order.\nAnswer: o, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*h - 5*r = -32*h - 41, -r = 5*h - 45. Suppose -3*g - 5*y + 799 = 0, 0 = 4*g - h*g + y + 1096. Is g a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lee when three letters picked without replacement from {l: 4, p: 3, d: 7, e: 4, g: 1, c: 1}.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 15 = -3. Calculate the highest common factor of q and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -40, -5, 8, 16, -2\/11 in ascending order.\nAnswer: -40, -5, -2\/11, 0.4, 8, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5*o + d - 5, 4 = 2*o + 4*d. Suppose -q - 4*q = o. Suppose -2*m + 3*m - 6 = q. Solve m*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 381994.4 centuries in decades?\nAnswer: 3819944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/3 - 14*d**3 + 155*d**2 - 808*d\/3 + 128.\nAnswer: (d - 24)*(d - 16)*(d - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 2 + -2 + 1. Suppose 0 = x*d + 3*d + 10. Let g = d - -2. Solve -4*f - 3 = 3*z, g*z - 3*z = -f - 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(20)\/(sqrt(1210) + -2*sqrt(1210) - sqrt(10) - sqrt(10))*-3.\nAnswer: 3*sqrt(2)\/13 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*((-850)\/275 - -3)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 2 z, and 1 r when four letters picked without replacement from {t: 1, r: 3, x: 1, z: 2}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1373 - 4244 = 526*p - 14033 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 101.047 + -101. Let w = x - -3.053. Let l = w + -3. Which is the nearest to l? (a) 0.1 (b) 0.3 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crrfrbbrc. What is prob of sequence rc?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1119, 4, 0, -239 in decreasing order.\nAnswer: 1119, 4, 0, -239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 0.084.\nAnswer: 0.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -14*g**5\/17 - 186*g**4\/17 + 34304*g**3\/17 + 44648*g**2\/17 - 59040*g\/17 - 19712\/17 = 0.\nAnswer: -56, -2, -2\/7, 1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = q - 2*c - 39, 0 = -5*q - 2*c + 192. Suppose -5*i - a + q = 0, 0 = i - 3*i + 5*a + 26. Solve 0 = -4*k + 3*d - 8, -4*k - 3*d + 8 + i = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 - 16728*w**2 - 12296793*w - 2129418750.\nAnswer: 3*(w - 6250)*(w + 337)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**2 - 370*z + 34225 = 0 for z.\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -750762*w**4 + 1901699 wrt w.\nAnswer: -3003048*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205485?\nAnswer: 3, 5, 7, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10407 + 6 + -24 + 5 is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2415 - 2417. Sort -0.1, b, -3, 1.9 in increasing order.\nAnswer: -3, b, -0.1, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*u. Suppose u = 8*k + 105 + 39. Which is smaller: -3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4.44, -2, 487\/7, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 989?\nAnswer: -12\/989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + 6\/9*-6. Let x be (-129)\/(-6 - -3) - j. Suppose -5*o = -x - 70. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - z**2 - 1. Let u(x) = -3*x**3 - 7*x**2 - 2. Let c(b) = 2*h(b) - u(b). Let s be 9\/(-6) - (-7)\/(-2). Calculate c(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60*x**5*z - x**2*z - 5*x*z - 6*x + 2*z wrt x?\nAnswer: -1200*x**3*z - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + ((-5)\/(5\/(-2)) - 1). Suppose x = -10*v - 4*v - 194600. Round v to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 697*b - 1121*b + 9752 = 0 for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 67*h**2 - 14*h - 2. List the prime factors of p(8).\nAnswer: 2, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 7:48 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46 + -26. Suppose 2*k + 3*k = f. Suppose 4*s = 5*s - 4*w + 8, -2*w = -k*s + 38. What is the greatest common factor of 108 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**4 - 61270*l**3 + 1470876*l**2 - 11032520*l + 24517600 = 0.\nAnswer: -61294, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 22144340 (base 6) to base 9\nAnswer: 1226126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*b = 5*b + 320. Let m(o) = -o + 1. Calculate m(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661794538 to the power of 1\/2, to the nearest integer?\nAnswer: 25725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7810054 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 0*a + a)*(-1 + 0 - 1) + 2 - 2 + 2*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g + 6. Let i be c(3). Suppose 3*j + 4*o + 226 = -10, -273 = 4*j - i*o. Let y be (3\/4)\/((-18)\/j). Solve -y*u = 2*u - 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b + 1428 = -10956. Is 86 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31\/(-217))\/((-1413)\/(-1099)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 6*v. Let g(k) = k**3 + 9*k**2 + 4. Suppose n - 10 = -4*n. Let t(h) = -h**2 - 1. Let m(i) = n*t(i) + g(i). Let q be m(-7). Give o(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-148)\/(-666) + (-3146)\/(-18). Calculate the greatest common factor of q and 210.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21401 - 21392. Solve -x - g - 16 = -5*y, 5*y + x = 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45 or -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 14*n = 13*n - 4, -5*n - 20 = -2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*v - v**2 + 6*v**4 - 2 - 12*v + 3*v in the form i*v**2 + o*v**4 + a*v + n + l*v**3 and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 30 = 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5143 and 89.\nAnswer: 457727","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 13476 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o**2 + o - 4. Let f be (0\/13)\/(-4*2\/(-4)) - -5. Let n(s) be the first derivative of -5*s + 1\/2*s**2 - 4\/3*s**3 + 1. Calculate f*j(m) - 4*n(m).\nAnswer: m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 9*c - 14. Let v be p(10). Is 388\/v*(0 + -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3351.\nAnswer: 3, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-35)\/11 - (-2)\/11. Let a(f) = -f**2 + 1. Calculate a(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9221996 and 108358453?\nAnswer: 433433812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjl when three letters picked without replacement from {m: 1, l: 5, j: 6, f: 4}?\nAnswer: 5\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, 2\/11, 8, 1\/11, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/2)\/(37534\/461132)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4811017 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*l + 2*l + 3*l)*(-2 - 1 - 5)*(-66*l**2 + 369*l**2 + 583*l**3 - 581*l**3) as m*l**2 + n*l + z*l**4 + i*l**3 + d and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/28)\/((-3)\/(-8)). Let q(h) = -h**3 - 3*h**2 + 11*h + 7. Let y be q(-5). Which is bigger: y or b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rgdgggwrrrwrrhr. Give prob of sequence hg.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*i**2 - 24*i**2 - 12*i**2 + 51*i**2.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - w**2 + 43. Let d(i) = i**3 - 6*i**2 + 5*i. Let t be d(5). What is the remainder when u(t) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-299)\/(-27) - ((-782)\/(-459))\/23\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 - -0.3. Let i = -8.817 + 7.25. Let p = -0.167 - i. Which is the closest to w? (a) -0.3 (b) p (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of 0 - 1\/6*w**3 + 5*w**2 + 0*w + 13\/12*w**4. Let s be r(1). Calculate the highest common divisor of 25 and s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.014537l?\nAnswer: 9014.537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/4)\/(3\/(-12)). Let i(b) = -b**3 + 6*b**2 - 17*b - 9. Let h(p) = p**3 - 7*p**2 + 16*p + 8. Let r(s) = y*i(s) + 5*h(s). Is 12 a factor of r(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (23 - 28) + (2 - 24) + (40 - 39)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 = 44*x + 56 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 99653491079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 14215149 divided by 1579461\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 5:54 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 6) in base 13?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4783 + -4781. Suppose 0*l - 5 = -l. Suppose 3*s + 3*g - 24 = 0, -l*s = -0*s - 4*g - 4. Solve r + o = s*u - u, -u = -2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32690 + -15611. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppppppppppplpppppp. Give prob of picking 4 p.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-4))\/(45\/60). Put -3, -2, o, 3\/8 in decreasing order.\nAnswer: 3\/8, o, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 11*r + 24. Calculate t(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 544*d*m**2*p - 3*d*m**2 - 25*d*p - 7*d - m**2*p - p + 6 with respect to m.\nAnswer: 1088*d*m*p - 6*d*m - 2*m*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -37*c - 107. Let x be t(10). Let g = x - -571. Does 48 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1607 + 4485. What are the prime factors of n?\nAnswer: 2, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 7:45 AM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -31 - (0 + 5) - -33\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2793 = -y + 20358, -7731 = -z + 2*y. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3615 divided by -632?\nAnswer: -3615\/632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3.03411 + 778.350802\nAnswer: 781.384912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 318\/13 or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4750)\/1140)\/((-5)\/828). Put h, -3, 2, 3 in descending order.\nAnswer: h, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1656477000 to the nearest 1000000.\nAnswer: 1656000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 4*n - 58859, -21*n + 23*n = -5*v + 98075. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8794 - -8864. Solve -5*a = 15, -4*l - 67*a + 25 = -b*a for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.7 + 0.4. Let y = -0.7 + r. Which is the biggest value? (a) y (b) -0.4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 - (11 + (-9 - 1) + 9)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -190*n**2 + 177*n + 4. Determine d(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 26 + -5?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000002338023 rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.52? (a) -0.1 (b) -4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11903?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/15, -12, -0.06, -1283?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -29, 9.\nAnswer: -29, -17, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 11 = -1, 2*u = o + 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -41*q - 368. Calculate v(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-72)*6)\/((-20)\/10720*-4).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14088, 28175, 42258, 56337?\nAnswer: 70412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b**3*b)*b))\/(b*b**(-4)*b)*(b*b**0\/b*b)\/b*b**15 assuming b is positive.\nAnswer: b**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + y - 6. Let h be ((-5)\/(-6))\/(y\/18). What is the third derivative of 2*b**2 - 5*b**5 + 0*b**h + 10*b**5 wrt b?\nAnswer: 300*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 6*z**2 + 5*z + 15. What are the prime factors of q(-8)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 8*x - 21. Let a be z(10). Let l(o) = o**3 + o**2 + o. Let q(p) = -2*p - 2*p + 0*p**2 + 0*p - 4*p**2 - 6*p**3. Give a*q(t) - 4*l(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 205 = 2*f + 25, 0 = q - 2*f - 53. Suppose 0 = -5*t + 5*p + 165, 2*p = -3*t - 3*p + q. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2985518 to two dps.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 14*a = -12*a, 4*t - 3*a - 11 = 0. Sort 14, t, -1\/8, -1\/5 in ascending order.\nAnswer: -1\/5, -1\/8, t, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3361692 divided by 6.\nAnswer: -560282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267544 = 138*k - 456680. Does 140 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2382*s + 2376*s - 4758*s - 178*s**2.\nAnswer: -178*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**4\/12 + 25*p**3\/6 + 101*p**2\/2 - 2975*p. Calculate f(29).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10739319, 21478641, 32217963, 42957285, 53696607?\nAnswer: 64435929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -7*n**3 - 8*n**2 + 17*n + 15. Let j(g) = 6*g**3 + 8*g**2 - 17*g - 15. Let p(h) = -5*f(h) - 6*j(h). Is p(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5.816693 centuries?\nAnswer: 581.6693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/2 (b) 2\/19 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1291, 8349, 20105, 36553, 57687, 83501, 113989, 149145?\nAnswer: 188963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -4. Let g = w - 2. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(110) + (sqrt(110) - (3*(sqrt(110) + (sqrt(110)*-4 - sqrt(110)) + sqrt(110) + sqrt(110)) + sqrt(110))))\/((3*sqrt(70))\/sqrt(7)).\nAnswer: -14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2649 = -143*m - 1505 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*(0 - 1) + 16 + -11. Solve 4*y = b*u - 9 - 13, 5*y + 7 = -4*u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31303 is divided by 894?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102 and 2108?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -37174170 divided by 1126490\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -4647969?\nAnswer: -7\/4647969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-6*2*sqrt(686))\/(((1*sqrt(8) - sqrt(2) - sqrt(2)) + (sqrt(36)\/sqrt(2))\/sqrt(9))*2) + 3)**2.\nAnswer: -756*sqrt(7) + 111141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 972348 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 97*x - 43*x - 50*x - 3 + 3 - 2. Calculate z(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**5\/z*z)\/(z*z\/((z**6*z)\/z)))**(6\/23))**(-3\/5) assuming z is positive.\nAnswer: z**(-162\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -578*g**5 + 3*g**4 - 339*g**3 - 2546070*g**2?\nAnswer: -34680*g**2 + 72*g - 2034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 24948 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -d**6\/3 - 4*d**5\/5 + 2*d**4 + 16*d**3\/3 - 15. Suppose r(w) = 0. What is w?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 700486, 2801951, 6304394, 11207815, 17512214?\nAnswer: 25217591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0)**26\/(z**7*((z*(z*(z\/(z\/(z\/(z**(-2\/5)\/z)*z)))\/z)\/z)\/z)\/z) assuming z is positive.\nAnswer: z**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -56, -93, -136, -185?\nAnswer: -240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-27)\/4)\/((-2)\/(-8)). Let z(b) = 7*b**2 + 4*b - 3. Let c be z(-3). Let u = c + x. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 6 - 4. Suppose -3*p - q*p = -r + 86, -r + p + 66 = 0. Is r a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/(-54) + ((-8)\/24*3336\/240 - -3)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 6. Let k(u) be the third derivative of u**4\/8 - 11*u**3\/3 + 77*u**2 - 2. Let s be k(n). What is the highest common factor of s and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v. Let r(t) = -1994*t. Determine q(r(c)).\nAnswer: 1994*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/824367? (a) -0.1 (b) 0.5 (c) -2 (d) 2 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = -5*x - 0*s + 2*s, 89*x - 12*s + 1681 - 1364 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1\/3))**49*a*a**(1\/3)*a\/((a*(a\/a**(-10))\/a)\/a) assuming a is positive.\nAnswer: a**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -n**5\/15 + n**4\/4 + 55*n**3\/9 + 47*n**2\/2 + 30*n + 781. Solve j(p) = 0 for p.\nAnswer: -3, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/8 of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 3:54 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*g**2 + 78*g + 0.\nAnswer: -2*g*(g - 195)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102 - 168392\/1649 - (-175)\/187.\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25693121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9180.92 - 9181. Let b = -0.3 + 0.1. What is the closest to b in -4\/7, i, -4, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/9 (b) 3977 (c) -3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 23*h. Give t(1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41\/112 - 1\/14. What is the common denominator of o and (-2 + 0 - -27)\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/360 and -28\/15?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 553362091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92, 154, 216, 278, 340?\nAnswer: 402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a day in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -14337 > -43012\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1025 + -6173\/6. Let k = 1031933\/30 - 34394. Find the common denominator of z and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 545007925?\nAnswer: 5, 7, 11, 283121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000054338 to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -y + 1\/2*y**2 - 25. Let j(i) = -i + 1. Determine -3*j(f) - 4*t(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -184 + 331. Suppose -153 = -3*d - 2*p, 4*p + 0*p - v = -3*d. Suppose 55*j - 212 = d*j. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 2*n - 9 + 19.\nAnswer: 2*n + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/561)\/(3\/6)?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16523 and 3224.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7080901 and 362.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 28*y + 302 + 7 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/(437\/46)*(-8)\/(24\/9)*11?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 3, 6 in decreasing order.\nAnswer: 6, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**3 - 133*z**2 + 1108*z - 143. Let d be a(-74). Put -1, 80, d, -3 in decreasing order.\nAnswer: 80, d, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 109489545?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 243.3399274 to the nearest 10.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-11) + 46\/11. What is n in -7*n**4 + 2*n**5 - 2*n**3 + 2*n**5 + 3*n**f - 2*n - 2*n**4 + 6*n**2 = 0?\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*((-9)\/(-6))\/((-270)\/24)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11144 is divided by 405.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -3. Let n = 120 + -115. Suppose 0 = -2*m + q + 4, -n*m - q + 3 = -0*m. Solve -v - m + b = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, -0.4, -0.5, -0.266, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (1 - 13) + (0 + -9 - -13)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 118 + -20. Suppose 0 = 8*u - 6*u - s. Calculate the remainder when u is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k + 12 = 13*k, 0 = -3*p + k + 2034. Suppose 11*b = 18*b - p. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74193.31 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30310.1 + 30310. Let n = 3 - 3. Which is the nearest to i? (a) -0.1 (b) n (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 h, and 1 n when three letters picked without replacement from {h: 10, b: 4, w: 2, p: 1, n: 2}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x**3 - 2*x**2 + 2*x. Let r be a(2). Let m = 2 - r. Is 21 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*z = z - 15, 5*j = -2*z - 39. Suppose -2*k - 34 = 12. Let s = j - k. Is s a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -7*n**3 - n**2 - 48*n - 11. Let m be a(10). Let w = 227683\/30 + m. What is the common denominator of 127\/84 and w?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53 + 57. Suppose 0 = -0*g - 3*g + 189. Suppose -56 = -4*h + d*n, -3*h - 2*n - 2*n = -g. Calculate the remainder when 48 is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.43195 to 1 decimal place.\nAnswer: 27.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 17*m + 1. Let n be u(-1). Let s = n + 13. What is the tens digit of (-2)\/(-6)*s - -13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 2 - 6. Suppose 0 = -8*l + 3*l - 4*a + 35, -3*l + 4 = -a. Solve 0 = i*o + l*o - 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -204.19?\nAnswer: -206.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 5*q + 15 - 200, 5*c = 20. Let h(g) = -4*g - 2. Let l be h(-6). Calculate the highest common divisor of q and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + 12. Let c = 14352669.000034 + -14352637. Let t = c - h. What is t rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -5, 1, 7\/5, -0.2?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 28*v**2 + 26*v - 12. Let y be u(-27). Solve -5*f = -3*o + 28, 7*o - 2*o = 2*f + y for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/12 and (-2)\/(-8)*(-192)\/160.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 11*x + 7. Let d be m(-6). Let k be (-94)\/(-5) - 19\/d. Solve w - 3*i + k = 0, -3*w - 3*i + 5 = 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a8b206 - -1?\nAnswer: 2a8b207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31586 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -11. Suppose -6*f + 5*f + s = 0. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1528 by 39035.\nAnswer: 1528\/39035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 1:42 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6574a4 (base 11) to base 2.\nAnswer: -100000000001101010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2214171 is divided by 16902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11173, 11172, 11171?\n\"Answer: -g + 11174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15127117 is divided by 5034?\nAnswer: 4981","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of p**4\/4 + p**3\/6 + p**2\/2 + p. What are the prime factors of s(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/(-6))\/(-8 + (-580)\/(-80)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/(-2))\/4)\/(2\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 3 = r - 4*d, -4*d = -16. Let c be 3*(108\/(-28) + 4)*1. Which is smaller: c or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/47 and 89\/16052?\nAnswer: 754444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (1 - 3)) + -215 + 194\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40048, 79900, 119748, 159592, 199432, 239268, 279100?\nAnswer: 318928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.031, -1\/10, 2 in ascending order.\nAnswer: -1\/10, -0.031, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 5*s - 14. What is u(11)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56313 is divided by 923?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 456629 and 1611?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*q + 9*q - 14*q to the form y*q + k and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 11. Suppose 4 + 8 = -3*h. Let v be ((-4)\/(-88))\/((-1)\/h). Which is the nearest to -0.2? (a) p (b) 0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -1387*q**2 + 122058*q - 169. Calculate t(88).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 62*k**3 + 4*k**2 - 4*k + 1. Let n be m(3). Let z = n + -27171\/16. Calculate the common denominator of -29\/22 and z.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-70)\/(-28) + 2\/(-4). Suppose 6*i = 7*i - 3. Which is the nearest to -2\/5? (a) k (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 13436?\nAnswer: 1\/13436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -14892 divided by -12\nAnswer: 1241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1692, 1735, 1800, 1899, 2044, 2247?\nAnswer: 2520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**2 + 154*f - 1129. Give d(77).\nAnswer: -1129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**2\/5 - 8582*k\/5 - 331656\/5 = 0?\nAnswer: -4252, -39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 12, -4, 22 in ascending order.\nAnswer: -4, -2, 2, 12, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2407442146 and 1622?\nAnswer: 1622","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 4*s + 48, -s - 15 = 5*n - 179. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*q**3 - 196*q**2 + 1052*q - 860 = 0. Calculate q.\nAnswer: 1, 5, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 847?\nAnswer: -423.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 10, -2*k + 3*l = -6*k + 431. Let c be (-178)\/(-14) - (-8)\/28. Calculate the greatest common divisor of k and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 360497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 209*j + 2. Is n(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0034859619 to four dps.\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 - -17. Which is the biggest value? (a) 5 (b) w (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 993.180792 rounded to zero dps?\nAnswer: 993","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 936 and 20241?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*u + 30*u - 17*u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 570664554.238999471 - 570664553. Let t = d + -1.239. What is t rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 17*f = 15*f - 518, -3*d + 4*f = -526. Calculate the remainder when d is divided by 23.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 635360 and 100320.\nAnswer: 1906080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) -1\/3 (b) -0.21 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-4)*(-18)\/(-15). Let v be 1\/2 + a\/(-3). Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 9*h - 4. Let p be a(5). Calculate the common denominator of (-61)\/(-44) - 6\/p and 3\/60*242 - 1.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 12:44 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*4\/(-28))\/(2652\/884)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*n + 40*n - 4*n**3 - 138*n.\nAnswer: -4*n**3 - 68*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u**2 + 5 - 2 - u**2)*(61*u**2 + 1144*u - 1144*u) + (0*u - 3*u + u)*(2 - 2 - u**3) as c*u**3 + q*u + t*u**4 + m + b*u**2 and give b.\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(1980) - sqrt(2695)*-1) + sqrt(1980) + 2*sqrt(1980)*4)\/((-6*sqrt(450))\/(sqrt(490) + sqrt(490) + 1*sqrt(490))*4))**2.\nAnswer: 1630475\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.016255945 to three decimal places.\nAnswer: 1.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/60 and -85\/6144.\nAnswer: 30720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*a**4*j**3 - 452*a**3*j**3 + 63080*j**3 with respect to a.\nAnswer: 100*a**3*j**3 - 1356*a**2*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 40\/140 + (-1046)\/(-14). Let s = 205 + -25. Suppose 0*f + 6*f = s. Calculate the greatest common factor of f and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-2) + 2\/6. Let x = -0.0375 - -107.0375. Let f = x - 107.1. Which is the nearest to k? (a) 3\/8 (b) f (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**2 + 2*u**2 - 2*u**2 + (-2*u - 2*u + 3*u)*(-3 - 2 + 3)*(-5 + 5 - 34*u).\nAnswer: -66*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*w**4\/3 - 68*w**3\/3 + 92*w**2\/3 + 32*w\/3.\nAnswer: w*(w - 8)*(w - 2)*(7*w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 1. Let q = -2.1 - -0.1. Let r = 0 + q. Which is the nearest to 1? (a) l (b) r (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n + 7. Let b be y(5). Let l(i) = 12 - 3 - i - 2*i. Let o be l(3). Solve -b*g = -o - 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110001 (base 2) in base 5?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2457104 (base 10) to base 3.\nAnswer: 11121211111212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 76310, -86, -4, -13 in decreasing order.\nAnswer: 76310, -4, -13, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 266 = 2*l + 64, 5*l - 451 = -j. Let d(o) = -8*o**2 + 3*o - 3. Let s be d(3). Let b = l - s. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 88*b**2 - 1785*b + 225. Let w be q(-105). What is the greatest common divisor of 3420 and w?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -945843 - -945813.99945. Let q = m + 29. Round q to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrdd when four letters picked without replacement from rdrrrrrdrrrr?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 3*w - 107788, -23058 = -2*p + 4*w + 20078. Suppose -11*i - p = -33*i. Calculate the highest common divisor of 49 and i.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = -6*h - 67 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 540*i**2 + i. Let s(k) be the second derivative of -2*k**3\/3 - 334*k. Calculate s(u(y)).\nAnswer: -2160*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -810 - -808. Let q(l) = 2*l**3 + 11*l**2 + 5*l + 3. Let s be q(-5). Which is the second biggest value? (a) s (b) 0 (c) h (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -29*z - 2. Let i be (-1)\/(-2) - 18\/12. Let k be g(i). What is the highest common factor of 18 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.9 - -2. Let s = 9 + -10. Let b = -0.1 - -0.3. Put s, o, b in increasing order.\nAnswer: s, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 283 + -278. Let v(s) = s**3 - 10*s**2 + 8*s + 5. Let h be v(9). Sort w, h, 0.\nAnswer: h, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15790746.\nAnswer: 2, 3, 157, 16763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from evkkkkekkeovueke?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.87 in -4, 1, 0, -158, 1\/5, 0.042?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 3*d - 6. Let r be q(5). Let f be 2\/(-2) + 14\/16. Which is the biggest value? (a) r (b) -2\/5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 113 + 66 + -353 + 77?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 475*h**2 + 45*h - 32. Let b be l(1). Solve -494*k + 24 = -b*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, u: 3, r: 2, c: 4, a: 2, v: 1}. What is prob of picking 2 a and 1 c?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 2*v**2 - 4. Suppose -14 = -t + 6*t - a, -3*t + 2*a = 7. Let o be p(t). Suppose -2*g + 630 = o*g. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8133.45 or 17?\nAnswer: -8133.45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 57 - 12. Solve -y = 3*z + 4*o, -2*z + 2*o + 1 = 3*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 10:57 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.06, 3, -0.3, -5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -419*h + 243*h - 116*h - 435*h.\nAnswer: -727*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*g**3 - 9*g**2 + 54*g**3 + 14*g**2 - 152*g**3 + 46*g**3.\nAnswer: -6*g**3 + 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-4)\/w**4*(w**0\/w)**17 assuming w is positive.\nAnswer: w**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-173 + y - 49 + 36)*(1 + 6 - 2).\nAnswer: 5*y - 930","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - a. Let p(b) = -b**3 + 2*b**2 + b - 1. Let m(k) = -22*k**2 + 51*k + 10. Let c be m(5). Let w = c + 286. Determine w*p(o) + 2*j(o).\nAnswer: -o**3 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 74915 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y + 8. Let n = 2 - -4. Let r(z) = -z - 15. Let h(x) = -22 - 4*x + 3*x + 22. Let p(q) = 3*h(q) - r(q). Determine n*p(m) - 11*v(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11972 and 164.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t*(t\/(t*t*t\/(t\/(t**(1\/2)\/t*t))*t))\/t)))**(-41))**48*t**(-2\/19)\/(t*t**2*t*t)*(t\/(t\/(t\/(t*t**(-5)))))\/(t**(6\/13)\/t) assuming t is positive.\nAnswer: t**(1215347\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-2*(sqrt(7) - sqrt(77)\/(-1*sqrt(11)))*-1*4.\nAnswer: 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002948758825 to 6 decimal places.\nAnswer: 0.002949","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -22385.8898 and -62.\nAnswer: -22447.8898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-5 + (sqrt(252) + 2 - sqrt(252)))**2*3 + 4.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.87 + -9. Let l = s + 4.13. Which is the second biggest value? (a) 2\/27 (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 600 - 605. Which is the nearest to -1\/2? (a) v (b) -4 (c) -10 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 832, 821, 810, 799, 788?\nAnswer: 777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of 619*b**3\/3 - 353*b**2\/2 + b - 226. What is the second derivative of s(a) wrt a?\nAnswer: 1238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -a2973?\nAnswer: -a2972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.1 (b) -0.2 (c) 83365\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-128)\/(-16) - 1) + 2 + 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 27*h + 30. What is the lowest common multiple of o(-26) and 170?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rbgggbgrggrbgb. Give prob of sequence rrgb.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 646\/267 + -52021\/16020. Calculate the common denominator of 57\/44 and a.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/45, 5, -6?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -59, -76, -93?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.9094371 rounded to 2 decimal places?\nAnswer: -59.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/7 - 6*s**3\/7 + 15*s**2\/7 - 8*s\/7.\nAnswer: -s*(s - 1)**2*(s + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + 0.273\nAnswer: 0.673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*i + 0*i**2 + 10*i**2 - 9*i**2 in the form l*i**2 + p + n*i and give n.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (552\/(-322))\/((-2)\/(-7)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21121 (base 4) in base 12?\nAnswer: -421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 318. Let j = h + 306. Let l(o) = -2*o**3 - 3*o**2 + 7*o + 5. Let m(a) = -a**3 - a**2 + a + 1. Calculate j*l(b) + 5*m(b).\nAnswer: -3*b**3 - 2*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 539805, 2, 85 in ascending order.\nAnswer: 2, 85, 539805","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 m when two letters picked without replacement from {m: 1, k: 11, w: 4, g: 1}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2150546 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(14))\/sqrt(2) + (1*sqrt(56))\/sqrt(8).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = h - 4*y, h - 402*y + 397*y = -2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1856 and 3886.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3, -3*z - 16 = 2*r - 52. Let c = z - 7. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.610551 kilometers in micrometers?\nAnswer: 9610551000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d + 1. Let u(h) = 6*h**3 + 136*h + 34. What is -204*t(z) + 6*u(z)?\nAnswer: 36*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 173 (b) -30 (c) 100\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 18c53 (base 14) to base 15\nAnswer: 13913","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103 = -27*f - 22 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.86 + -18.96. Round n to the nearest integer.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 8*s + 28. Let v be b(8). Let r = -24 + v. What are the prime factors of r?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 4*i**2 - 13*i - 9. Let g(j) = -j**2 + 3*j + 2. Calculate 9*g(x) + 2*w(x).\nAnswer: -2*x**3 - x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.0405403 to 3 dps.\nAnswer: 2.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -i**3\/6 - 2*i**2 + 20. Let p(u) = u + 4. Give p(g) + 6*q(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (440\/30)\/((-8)\/12).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*w**2 - 16*w**2 - 10*w**2 - 2*w + 22)*(24*w + 0*w - 12*w).\nAnswer: 36*w**3 - 24*w**2 + 264*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -196946+18.12699675\nAnswer: -196927.87300325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 divide 356388680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9398, -15779, -22160?\nAnswer: -28541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 2:58 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3887 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -58180 divided by -5818\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s + 2. Let j(k) = k**3 - 2*k**2 - 4*k + 2. Let h be j(3). Let f be p(h). Is 2\/45 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15920 and 400.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 6*a + 8 - 1\/2*a**2. Give q(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 30*p + 62. Calculate z(28).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**4\/24 + 5*d**3\/6 - 951*d**2. Let b(v) = v - 2. What is 5*b(m) + 3*l(m)?\nAnswer: 2*m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-186 + 390)\/(34 - 30)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48530 and 173780.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*h - 14 = -45. Which is smaller: h or 4\/1241?\nAnswer: 4\/1241","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -212, -211, -210, -209, -208?\n\"Answer: b - 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (24 + -14 - 24)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -3, 6, -13\/6, 0.5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**3 + 11*s**2 + 5*s + 65. Suppose -73*o + 84 = -87*o. Let w be l(o). Which is the smallest value? (a) 9 (b) w (c) -3 (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - -7 - -1 - (3 + 0). Let z(t) be the first derivative of 54*t**2 + 21*t**y + 12 - 212\/3*t**3 + 36\/5*t**5 - 16*t. Factor z(u).\nAnswer: 4*(u - 1)*(u + 4)*(3*u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, -6, 1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 445880.\nAnswer: 891760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -155\/4 + 39. Sort 4, 1\/8, -1\/8, y in descending order.\nAnswer: 4, y, 1\/8, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 8*n**2 - 2*n - 13. Let f be m(-8). Suppose -f*v - 4*y + 8 = 0, -5*v + 6*y - 3*y = -23. Put -2, v, 5 in descending order.\nAnswer: 5, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 572 and 4576?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24947 - 24362 = 15*b. What is the lowest common multiple of b and (-78)\/4*(0 + -6)?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1119, 1111, 1093, 1059, 1003, 919, 801?\nAnswer: 643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -7029*x**3 + 2*x**2 - 4*x - 5. Let d be i(-1). Suppose 0 = 17*m + 21*m - d. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 - 5)*(v - v - v) + (3*v - v - 4*v)*(0 - 1 + 2) - 3*v + 13 - 13.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 691*q - 105802. Determine x(-229).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 253 + -172. Let f be (1\/6)\/(54\/d). Which is the smallest value? (a) -3 (b) -1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4709401007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.3, 0, 0.5, 0.464, -3\/7 in increasing order.\nAnswer: -2, -3\/7, 0, 0.3, 0.464, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -3*z - 1112 + 7813, 4*i + 3*z = 5359. Does 80 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 take away -244616.4229?\nAnswer: 244543.4229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 13) to base 7.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (6 - (5 - 1)) - (-68 - -35)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 16*s**2 - 16*s - 12. Determine k(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 7 = 4*x - y, 5*y = -3*x + 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -k - k + 23*k**3 - k**2 + k**3 + 11*k**3 + 3 in the form h + d*k**3 + w*k**2 + j*k and give d.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + 18 + 2 + -9 + -4?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwmwwwwwwwwwwmwwmw. What is prob of picking 2 m and 1 w?\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41684.\nAnswer: 2, 17, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**3\/7 + 3913500*h**2\/7 + 957223510848*h\/7 + 2871635311152\/7 = 0.\nAnswer: -489186, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-2) + ((-12)\/6 - -6)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w + 17. Let m be i(-15). Let t be -21 - (1 - m)\/(-1). Let f be 3 - (-2 + t\/(-4)). Put f, -0.3, 0.5 in descending order.\nAnswer: 0.5, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/1265558 and 23\/6.\nAnswer: 3796674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in -0.07, -2\/9, -0.1, -2179?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is -5.8413 rounded to zero decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 526.2157 grams to tonnes.\nAnswer: 0.0005262157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120 divided by -2.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.03 + 0.03. Let q = 13 + -13. Let r = q + 4. What is the second biggest value in 2\/9, n, r?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131979 to the power of 1\/2, to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine sixths of a decade in months?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13.12 + -12.246. Let v = -87 - -86.874. Let g = f - v. Which is the closest to 0? (a) g (b) -0.3 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3483?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*s = -69, -3*s = 2*c + 24 + 39. What are the prime factors of (-10)\/45 + (-1248)\/c?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 106262.0000094918 + -106262. What is t rounded to seven decimal places?\nAnswer: 0.0000095","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -322501 at most as big as -322504?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 2 = -5*n. Suppose 5*r - 2*b - 50 = 0, 2*r - 3*b + 0*b - 31 = 0. Suppose 24 = 2*g + g. Solve i + 2*i + g = 2*m, -i = n*m - r for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + sqrt(156) + -6*(-2*sqrt(156) - sqrt(156)) + sqrt(156) + sqrt(156))\/(-2*sqrt(768)) + 2)**2 + -4.\nAnswer: -11*sqrt(13)\/2 + 1573\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*d = 107*d + 95*d + 30 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 20*c - 20. Let y(m) = -m + 1. Let i(v) = -j(v) - 3*y(v). What is the derivative of i(n) wrt n?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b. Let u be v(-4). Let t be (3\/2)\/((-4)\/u). Solve -t*x + 9 = -3 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 233574.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/10)\/((-225)\/250)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 4*k - 15 = 0, -4*k = 10*p - 8*p + 6. Sort 0, p, 0.06 in descending order.\nAnswer: 0.06, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -10*m**2 - 29*m - 353. Let b(o) = o**2 - o + 10. Let k(v) = -9*b(v) - x(v). Give k(-28).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10754165 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1253.76 or -53\/5?\nAnswer: -53\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 2*a**2 + 4*a - 4. Give b(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, d: 5, l: 3}. What is prob of picking 3 d and 1 l?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -353 and 40.\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of c**3\/3 + 5*c**2\/2 + 4*c - 2. Let j be l(-4). Is 11 a factor of (11 + j)\/((-2)\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -708*v + 33148 = 410*v - 49584 for v.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from piitjpaaiaii. What is prob of sequence iipi?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20.7 - 20.2. Which is the second smallest value? (a) -1\/4 (b) -2\/39 (c) t (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence la when two letters picked without replacement from iala?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is dd (base 15) in base 3?\nAnswer: 21201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 6:53 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 2*p + 10, p - 6*p = 2*j + 25. Let s = j + 18. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 - 1)*(-3 + 0 + 0)*(-4 + 2*w + 4) as m + r*w and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*v + 46 = -33*v - 2*q, 3*v + q - 65 = 0. Let h(y) = 31*y - v*y - 82*y + 23*y. Let j(g) = -3*g. What is j(h(c))?\nAnswer: 150*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/27 + 92\/(-36).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 u when two letters picked without replacement from kldzukz?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41 + 27. Let b be 1516\/(-12) - (c\/6 - -3). Let l = 248 + b. Is 21 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*b + 9*b + 11983 = -12208. Calculate the remainder when b is divided by 288.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -v**2\/2 + v + 11. Let q(g) = 4*g - 5. Determine -4*q(y) - 18*s(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**3 - 12*b**2 + 277*b - 688. Determine g(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -5*a**2 + 615*a - 610 = 0.\nAnswer: 1, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.31 + 0.09. Suppose 2*v + v = -15. Let l be 0 + 2 + (-24)\/14. What is the nearest to 1 in l, u, v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 9*z**2 - 14*z + 39. Calculate g(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-4) + (-7)\/(-28). Let m be (1*(i + 0))\/1. Suppose -f + 4*f - 9 = m. Solve -4*b - f*d + 5 = 0, 0*d = 4*d - 12 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + -15 + -6 - (-15 + 0).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.117 >= 0.0654?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000743157 to 7 dps.\nAnswer: -0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 188057150 divided by 78685?\nAnswer: 2390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/381120 and 23\/238200?\nAnswer: 1905600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -133 and 1.8.\nAnswer: -239.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1656, 3320, 4986, 6654, 8324, 9996?\nAnswer: 11670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w - 1. Let m(f) = -f - 1. Let x(a) = 4*m(a) + p(a). Let b be x(-4). List the prime factors of 1\/(123\/(-42) + b).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 371, 365, 359, 353, 347?\n\"Answer: -6*x + 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + j - 1591, -2*q + 8*j + 632 = 4*j. Let c = 318 - q. Is c at least as big as 10\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/5)\/(612\/2040).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -16*h + 4. Let o(u) = -17*u + 6. Let m(a) = 4*o(a) - 5*r(a). Let d(i) = i. What is 10*d(y) - m(y)?\nAnswer: -2*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 150 (base 6) to base 16.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -13. Sort -2, 12, j in descending order.\nAnswer: 12, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-444)\/(-37)*(-5)\/560?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 3*b - 45 = 6*s - 5*s - 3*s, -8*b + 40 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, -0.1, 59\/3, 24, -0.05313?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7355\/595 - 13 - (858\/221)\/(-11)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2150 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*m + 14*m. Solve z - 2 = m, -4*t + 7*t = z + 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.25 + 0.6. Let a = 0.65 + y. Sort 5, a, -3, -1\/3 in decreasing order.\nAnswer: 5, -1\/3, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 808191, 808174, 808123, 808020, 807847, 807586?\n\"Answer: -3*b**3 + b**2 + b + 808192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4758 - -1181?\nAnswer: 5939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 5:35 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 + 10. Let z = -300\/7 + q. What is the biggest value in 3, z, 2\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4224, 8342, 12462, 16584, 20708, 24834?\nAnswer: 28962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64 + 82. Let t be (6\/y*3)\/((-1)\/2). Let d be (t + (-25)\/(-10))*6. Solve 3*u = -4*j + 29, 5*j - d = 3*u + 13 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5691?\nAnswer: 3, 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 238770462 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 17 = u. Suppose p = u*p - 287. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36091801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(175) + (0 + sqrt(175) - sqrt(175)) + -4 + (1 + sqrt(175))*-5)**2.\nAnswer: -14405 - 1800*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d*d*d*d\/d**(-2)*d*d*d*d)**(3\/40)\/(d*d**(-2\/5))**(-33) assuming d is positive.\nAnswer: d**(207\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10041, -19882, -29515, -38940?\n\"Answer: 104*j**2 - 10153*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 5*r**2 - 2*r - 2. Let m(n) = -n**3 - 9*n**2 - 3*n - 4. Determine 3*m(k) - 5*y(k).\nAnswer: 2*k**3 - 2*k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 + 70\/3. Suppose 22*d + 15 = 19*d. Which is the nearest to 0.1? (a) 0 (b) d (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2046257429813.26385961 - -2046257510271. Let l = g + -80363.73614. Let f = l - 94. Round f to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11b325a (base 15) to base 8\nAnswer: -60406737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1540229.44 to the nearest 100.\nAnswer: 1540200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 3 (b) 0.5 (c) -652 (d) -1 (e) -4\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/6)\/(42\/9).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 1977 = -779. Let h = -49 + a. What is h rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15919474847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -47, -4, 79, 214?\nAnswer: 413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 61 * 0.069\nAnswer: 4.209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3017954645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*i - 10*i + 6*i**2 - 1 - 5*i**4 + 19*i to a*i**4 + t*i**3 + h*i + n + j*i**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 7) in base 14?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -25, -43, -61, -79, -97?\n\"Answer: -18*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002738422337 rounded to seven dps?\nAnswer: -0.0002738","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2214 - 2210.673. Round b to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 720.4531 and -32.\nAnswer: -23054.4992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000046178 to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4*l. Let h(x) = -20*x**2 - 34*x. Let c(f) = 9*f**2 + 17*f. Let r(q) = 9*c(q) + 4*h(q). Calculate d(r(k)).\nAnswer: -4*k**2 - 68*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*w + 38*w - 55*w)*(23 + 1 + 4) to the form d*w + r and give d.\nAnswer: -980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3992 - 0.347. Round y to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4329462?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8145223?\nAnswer: 8145223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*v - h, -h = -5*v - 5*h - 18. Let f be v + (-58)\/(-2) + 3\/1. Let p = f + -25. Let s(d) = -d**3 + 3*d**2 + 8*d - 6. Give s(p).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -185372*t - 10. Let q(m) = 2*m. Determine a(q(s)).\nAnswer: -370744*s - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21757621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77946 - 4*a + a**3 + 4*a**2 - 13*a**2 + 11*a**2.\nAnswer: a**3 + 2*a**2 - 4*a - 77946","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -2. Suppose -k + 39*z - 6 = 43*z, 5*k = -3*z - 47. Let c be 296\/370*(-1)\/(1\/k). Put m, 4, c in descending order.\nAnswer: c, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/(-4)*(7 + -5). Calculate the highest common factor of d and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a milligram in micrograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 7*m - 23. Does 15 divide t(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43407 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 256368 and 11277840?\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 3485 = -3460. Let j = -0.5 + -0.2. Sort 4, j, 2, w in descending order.\nAnswer: 4, 2, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.7908 + -2.2092. Is d >= 2\/3245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g**2 - 94*g - 7. Let y(a) = 4*a**2 - 87*a - 6. What is -5*w(f) + 6*y(f)?\nAnswer: -f**2 - 52*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4\/9)*u*u**(-3\/2))\/(u*u\/(u*u**(2\/11))*u*u\/u**3)*(u\/u**(2\/3))**(-18)*u**6\/u**1 assuming u is positive.\nAnswer: u**(-349\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 6*j**3 + 5*j**2 - 5*j + 5. Let g(w) = 9*w**3 + 7*w**2 - 7*w + 7. Give -5*g(h) + 7*n(h).\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 333 a factor of 6111882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2. Let q(i) = 4*i**2 - 21*i**2 + 9*i**2. Determine j(q(v)).\nAnswer: -64*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1956542, -3913073, -5869604, -7826135, -9782666, -11739197?\nAnswer: -13695728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 661 (base 9) to base 3.\nAnswer: 202001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + (sqrt(1008) - (sqrt(1008)*-1 + -5 + sqrt(1008))))**2.\nAnswer: 240*sqrt(7) + 4057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 17*z**2 - 22. Calculate u(-17).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + p**5 + (6*p - 6*p - 8*p**3)*(-3*p**2 + 3*p**2 + 3*p**2))*(-3 + 2 + 2).\nAnswer: -23*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n. Let x(r) = 14*r + 171 - 171 - 25*r**2 + 36*r. Determine 50*d(z) - x(z).\nAnswer: 25*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 1\/66*s**4 + 0 + 0*s**2 + 3*s + 1\/33*s**3. Factor l(d).\nAnswer: 2*d*(d + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/3? (a) -308\/29 (b) 0.2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 9 - 1 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**5\/20 - v**4\/4 + v**3\/3 + 2*v. Let g be y(2). Suppose g = 2*f - 2*q, -q + 10 = -0*f + f. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 278154, 278155, 278156?\nAnswer: 278157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23889 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 6 = 0, -m = 2*m - a - 10. Calculate the remainder when 11 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -332*i + 333*i - 737, -4*o - 5*i + 2949 = 0. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414 is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-13)*h**11*h*(h\/h**(-1\/2))**(-18) assuming h is positive.\nAnswer: h**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 18 = 23. Suppose x - 59 = -m*l, l - 14 + 9 = 0. Is x a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 56*p**2 + 176*p - 63. Let b be u(-59). Let a(x) = x**3 + 3*x**2 - 33*x - 119. What is a(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5*p**2 - 407*p + 309. Let r be d(-80). Is r bigger than 874?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1330706381 and 520.33.\nAnswer: 1330706901.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**2. Let g(m) be the second derivative of -m**7\/120 - m**4\/4 + 17*m. Let n(x) be the third derivative of g(x). Determine y(n(h)).\nAnswer: 882*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-304)\/(-2280)*(234\/(-84))\/13.\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-2 - 5) + 9 - (-8 + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -20*l**3\/3 - l**2 - l - 1. Suppose 3*j + 2 = w, 5*w - 206 = 2*j - 209. What is v(w)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(375) - 5*sqrt(375) - sqrt(375))\/(-5*2*sqrt(3)))**2.\nAnswer: 125\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.8 + -0.63. Let c = l - -37.33. Round c to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 2*z - 2. Suppose x = 3*n - 680, -z*n + 5*x + 444 = 2*x. Suppose 125 = s - n. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 + -126 - (-3 + (-3 - -15))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 262 - 256. Solve -7*q + z*q = 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -0.2 (b) 0.2 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - -6. Let -6*t**4 - 6*t**5 - d*t**2 + 12*t**3 + 2 + 6*t**2 + 8*t**4 - 6*t = 0. What is t?\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -6 + 7 + -11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 5 - 15*o**2 - 11.\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k - 1. Let b be d(-2). What is the units digit of 15\/b*(-116)\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 41 - 35 = 0. Let o(t) = -2*t - 4. Let x(f) = f - 1. Determine p*x(v) + o(v).\nAnswer: -5*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 0)*(1 - 2 + 2)*(6 + 8*b + 16*b + 29*b) as q + t*b and give t.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1425457 - -1?\nAnswer: -1425456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -27 + -21?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(2\/47)\/f)*f*f**(2\/103)\/f)**(-3\/46) assuming f is positive.\nAnswer: f**(-14355\/111343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 8*y - 3. Let f(k) = 7*k - 3. Let z(i) = -6*f(i) + 5*q(i). Let j be ((-3)\/(-4))\/((-3)\/36). What is the tens digit of z(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w - 6. Let h be g(-4). Let j = -538\/7 - -77. Which is the closest to h? (a) -5 (b) -0.4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 2*a + 4, 3*d + 0 - 5 = 4*a. Suppose -d + 15 = 4*j. What is the third derivative of -4*k**2 - 2*k**2 + 6*k**2 - 3*k**j + 8*k**2 wrt k?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3501606 (base 7) to base 6\nAnswer: -13214013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -825597*d + 1365528 wrt d?\nAnswer: -825597","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -157760 - -606357. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4718 bigger than -4718?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 17\/2 - (-6)\/12. Factor 0*v**4 - 3*v**4 + 3*v + 7*v**3 + u*v**3 - 7*v**3 - 9*v**2.\nAnswer: -3*v*(v - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13570 and 2714?\nAnswer: 13570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2*u = -424, -c - 218 = -2*c - 5*u. Does 71 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96442588 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4498421*z + 4498365*z + 6048 for z.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 26, -266, -2, 1.\nAnswer: -266, -2, 1, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 177 + -172. Sort -0.2, 1, f, -2\/7.\nAnswer: -2\/7, -0.2, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/64 and 89\/52.\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 157, 302, 419, 496, 521, 482?\n\"Answer: -2*u**3 - 2*u**2 + 165*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 4*d + 25 = -0*d, 45 - 25 = 4*y - 8*d for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 865575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3722, -14759, -33170, -58961, -92138, -132707, -180674, -236045?\nAnswer: -298826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 7864777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -7. Let k(n) = -2*n + 0*n - 2*n + y*n. Let t(v) = v. Determine t(k(s)).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 12*x - 15. Let d be l(-12). Let a be d\/4 + (-3)\/12. Is (51 - (2 + a))*7 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 7*b**3 + 627*b**2 + 472*b + 10485. Calculate p(-89).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4785 + 52185 - 198*u**2 + 197*u**2 + 496242.\nAnswer: -u**2 + 553212","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c + 7*c - 2*c + (0 + 1 - 2)*(1 + c - 1) + 6*c - c + c.\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q\/(q*(q\/(q\/q**(-2\/7))*q)\/q))\/q)**(-2\/75) assuming q is positive.\nAnswer: q**(-4\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -19 + 138\/4 + -1*7.\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.3, -3\/5, -1087, -1\/9, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -71797 (base 13) in base 5?\nAnswer: -23002211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 13 + 211 - 10)*(-3*w**5 + w**5 + 0*w**5).\nAnswer: -404*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (-12)\/(-10) + 1. Let l be (81\/729)\/((-2)\/12). Let t = -0.06 - 0.94. Which is the nearest to t? (a) h (b) l (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -2*n + 45. What is the first derivative of n*x**2 + 14 + 43*x**2 - 70*x**2 wrt x?\nAnswer: 36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4120000 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 2*y + 83 - 56 + (3 - 2 + 3)*(-3*y - 2*y - y))*(-y**3 + 2*y**3 + 0*y**3).\nAnswer: -22*y**4 + 27*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**2\/13 + 670*n\/13 - 104632\/13 = 0.\nAnswer: -451, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 709*b - 1092*b + 17235 = 0 for b.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((31 - -2)\/3)\/(1 - 2). Let k(h) = -h**2 - 9*h + 28. Let i be k(p). Let f be ((-4064)\/i)\/8*-9. Round f to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -58\/3133?\nAnswer: -58\/3133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of w**2 + 0*w + 0*w**4 + 1 + 0*w**3 - 1\/5*w**5. What is the second derivative of g(t) wrt t?\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14844.\nAnswer: 2, 3, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 51018.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*a + 29*a - 56*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68256?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100982?\nAnswer: 2, 7, 7213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*v + 416, -1040 = -4*v + 9*v + 2*h. Let q = 211 + v. Solve -x - 2 = -q for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 112*n**2. Let u(s) be the second derivative of -1\/12*s**4 + 0*s**2 + 0 + 0*s**3 + 142*s. What is u(y(z))?\nAnswer: -12544*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of 5*s**8\/48 + 71*s**7\/21 + 5*s**6\/3 - 1501*s**2. What is k in q(k) = 0?\nAnswer: -20, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*d**3 - d**3 - d**3 - 2*d**2 - 4 - 4*d**3 - 37*d + 0*d**3 wrt d.\nAnswer: -36*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75820606 is divided by 37910273?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*n + 76*n + 138*n + 194*n + 114*n + 217*n.\nAnswer: 620*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*a + 15 = 6, -a + 16 = -4*s. Let n be s + (-12)\/4 + 6. List the prime factors of (n + -1)*-4 - -2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 21545, -0.004, -7, -1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15.6422 - 0.0422. Let j = 17.6 - s. Sort -4.4, 4, j in increasing order.\nAnswer: -4.4, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16128047 is divided by 1798.\nAnswer: 1785","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than 7735?\nAnswer: 7734.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -2*l, 19*l = 3*q + 17*l - 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y + 16. Let c be i(-12). Suppose -6*p + 10 = c*p. Suppose -b = -p - 6. What is the remainder when 13 is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 44*b**2 + 15046060*b - 16413936 = 0. Calculate b.\nAnswer: -341957, 12\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 2*n + 35517 - 35516 = 0, 226*t - 5*n + 221 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3708 is divided by 138?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43 + -410?\nAnswer: -1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 3*m**2 + 6*m - 1 - m**2 - 8*m - 3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2781*y - 274. Let q be m(-4). Is -3 - q - 6 - -2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4070 is divided by 117?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2.48 (b) -3\/583 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005146 to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t + 2. Let f(s) = -2*s + 3. Let l(c) = 6*c. Let a be l(1). Suppose -5*v + 27 = -2*g + a*g, 6 = 2*v. Calculate g*z(j) - 2*f(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213*z - 6759*z**3 - 213*z.\nAnswer: -6759*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 164049, 164036, 164011, 163968, 163901?\nAnswer: 163804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11370 rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(0*f**4 + f**4 - 4*f**4) + (2*f**2 - f**2 + 0*f**2)*(3*f**2 + 5 + 5 - 5).\nAnswer: -3*f**4 + 5*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/15)\/y**(-2\/7))**(-2\/65))**(1\/23) assuming y is positive.\nAnswer: y**(-88\/156975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 23, 3, -53, -157, -321, -557?\nAnswer: -877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.01 (b) 879.4 (c) -49\/5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -5, 2, -549\/76?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 6*l + 17. Calculate the remainder when 130 is divided by n(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43581.94 + 44133. Round c to the nearest integer.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18463, 36925, 55387?\nAnswer: 73849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2274016338 to the nearest integer?\nAnswer: 1315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1540948*d**3 - 4*d**2 - 15141641.\nAnswer: 4622844*d**2 - 8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66092623?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 5*f**3 + 11*f**2\/2 + 46*f + 219. List the prime factors of o(-4).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.2, -10355, -0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (26 + -134)\/(26\/16 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-7)\/((m\/m**6)\/m)*(m\/(m**0*m*m*m))**(-3\/38))\/(m**(-4\/7)\/(m\/(m\/(m\/(m\/m**(-5)*m*m))))*(m\/(m**(-1\/3)*m))**(-2\/73)) assuming m is positive.\nAnswer: m**(-211507\/29127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 19554, 39010, 58464, 77916, 97366, 116814, 136260?\n\"Answer: -b**2 + 19459*b + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 347136.5l?\nAnswer: 347136500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25244693?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 d when two letters picked without replacement from {n: 1, v: 7, q: 1, m: 1, d: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000075 rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 31 = 1. Suppose 20895 = 13*c - i*c. Let w = -125273\/18 + c. Calculate the common denominator of -11\/15 and w.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from {g: 1, c: 18}.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.91564 - -0.08436. Let f = -0.7 + 0.2. Which is the fourth smallest value? (a) f (b) -1 (c) 0.4 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 119*d**3 + 1 + d**2 - d**2 + 50*d - 4*d**2 + 109*d**3 - 221*d**3 to the form h*d**2 + y + s*d + a*d**3 and give s.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 335687*s - 3356862. Determine n(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2. Suppose 3*k + 8 = k. Let r be (6\/k)\/((-24)\/1568). Let x(n) = -r - 2*n + 98. What is x(m(z))?\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 304 + -56. Suppose b = -x + 708. What is b rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62943 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*o = -11875843 - 81557. Round o to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24673369.\nAnswer: 7, 3524767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 115 - 32 - 25 - 3*d**3 - 24 + 22*d**3.\nAnswer: 19*d**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - 6*a - 3. Let i be m(-5). Suppose -i = c - 6. Calculate the remainder when 10 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 0 = -5*w. Let o be (-1)\/(4\/(-16)*1). Put o, 2, w in ascending order.\nAnswer: w, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3201589 kilometers to nanometers.\nAnswer: 320158900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 232 divide 290635680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/9 - (-2)\/(-3). Solve a = h + 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*w + 36 = -37*w. Which is bigger: -11 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*d - 2*i - 28 = 0, -4*i - 2 = d. Solve r = 2*j + 5*r + d, 4*j = -2*r for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -227\/3 + 75. Let h = -38.2 + 36. Let f = h + 1.2. Which is the nearest to f? (a) q (b) -4\/5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 8*m**3\/13 + 682*m**2\/13 - 606*m\/13 - 7740\/13 = 0.\nAnswer: -86, -3, 15\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6144 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: Let x(z) = 2*z. Let o(k) = 1. Let c(p) = -3*p**2 + 6*p - 8. Let w(f) = f - 1. Let t(d) = c(d) - 2*w(d). Let n(b) = 6*o(b) + t(b). Determine n(x(u)).\nAnswer: -12*u**2 + 8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -4*r - 7. Let c(u) = -u - 1. Let a(o) = 7*o + 8. Let z(g) = a(g) + 3*c(g). Let h(s) = -5*q(s) - 6*z(s). Calculate h(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 41861857?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.38 - -11.38. Which is smaller: x or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15212310\/41 smaller than -371031?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 480 + -486. Which is the closest to -2\/9? (a) h (b) -2\/15 (c) -21 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -15299a7?\nAnswer: 15299a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -855.4625138 to the nearest integer.\nAnswer: -855","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (132\/(-6930))\/((-16)\/14). Let x(l) be the third derivative of -1\/4*l**4 + 0 + 6*l**2 - d*l**5 + 7\/6*l**3 + 0*l. Give x(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 5*p + 5*v, 999*p = 1002*p - 4*v + 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.17? (a) -4 (b) -0.5 (c) -2 (d) 4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 17 = -3*d, 2*d = 4*j - 157 + 161 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -151.\nAnswer: -755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 311094\/90 + ((-21)\/(-15) - 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.5 - -18.2. Let f = 2.7 - r. Sort f, -2, 3\/5 in decreasing order.\nAnswer: 3\/5, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/8 of a centimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6.6? (a) 0.3 (b) 0.5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 4*x = 26, 332*t - 337*t + 4*x + 9 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -702015*q**4 - 5195*q - 25?\nAnswer: -8424180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2954\/43 + 5951\/86. Let t be 5*(23\/(-25) - -1). What is the closest to 1\/36 in i, t, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2521833 = 21*x - 5966395 + 1198981. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 92323078*q**3 + 80469913*q**2 wrt q?\nAnswer: 553938468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3556 + -3473. Let f(s) = 43*s**3 - 1. Let r be f(1). Suppose -k + 21 = -3*d - 0, r = 2*k + 4*d. Calculate the remainder when i is divided by k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, -0.3, -13.\nAnswer: -13, -0.3, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*q - 2*q**2 + 2*q + 3*q)*(2338*q - 2335*q - 2931 - 678) as f*q**3 + t + h*q**2 + k*q and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2 - 535*c + 16. Let g be i(0). Solve 0 = -g*m + 14*m - 16 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 25 = -5*x + 6*x, -3*w - 15 = -5*x. Which is smaller: x or -4\/11?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i + 3. Let w be l(7). Suppose 6*g - 5*g - w = 0. What is the greatest common divisor of g and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 11:06 PM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 1 + 16 = 0. Suppose x + 18 = -t*i, -x + i = 4*i + 10. Solve x*o - 3 + 5 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.892817 decades in millennia?\nAnswer: 0.05892817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8402 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(616\/(-84)*(-6)\/(-16)).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a. Let x(s) = -4*s + 6*s - s - 10 - 2*s. Let k = 14 + -21. Let g be x(k). Give j(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13715057, 13715056, 13715055, 13715054, 13715053?\nAnswer: 13715052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -8*t + 67. Let s be a(8). Suppose x - 2*y = 3*y + 103, 4*x + s*y = 458. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -1452*a**4 - 5940*a**3 - 6339*a**2 - 540*a - 12 = 0.\nAnswer: -2, -1\/22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - (-213)\/21 - 14*29\/203. Find s such that -4394\/7 - 1014\/7*s - 2\/7*s**3 - p*s**2 = 0.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 760993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1035973.1 to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18.5 + -9.5. Which is the third biggest value? (a) -0.1 (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**2 + p - 50. Let i(l) = l**2 - 1. Calculate -i(t) - w(t).\nAnswer: t**2 - t + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 22*f + 24*f = 45, 0 = -4*i - 2*f - 36. Suppose -3*b + b = 42. What is the common denominator of 11\/18 and i\/(-6)*109\/b?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 4*y**2 + 5*y + 4. Let h be b(5). Suppose h*w - 64 = 48. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(363) + 1 - ((-4*sqrt(3)*6)**2 - sqrt(3)).\nAnswer: -1727 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 2\/85, 8683 in descending order.\nAnswer: 8683, 0.4, 2\/85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11300 != 8491?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15523849?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110197.\nAnswer: 263, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 42*n**2 - 27*n**2 + 0 + n**2.\nAnswer: -68*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -14010709\nAnswer: 2\/14010709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 7*v + 4. Let r(o) = 12*o + 7. Let m(c) = 3*r(c) - 5*t(c). Let l(b) be the third derivative of b**4\/24 + b**3\/2 + b**2. What is l(z) - 2*m(z)?\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -21 + 51 + 11 + -1 + -19?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f - 11. Let d(q) = 15*q + 809. Let o(x) = 7*x + 381. Let y(i) = 8*d(i) - 17*o(i). Determine 3*s(n) - 5*y(n).\nAnswer: 4*n - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 9:16 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*l + 105. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/2*(-3)\/(-3)*(-7735)\/(-238)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 - (4 + -3)*1. Suppose -22 = -4*o + 2*o - q*x, 0 = 2*o + 2*x - 18. Let l = o - 12. Let c(u) = u + 8. What is c(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 766 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 2\/9, 11, 56?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(5))\/sqrt(2) + 3.\nAnswer: sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1127, 2220, 3299, 4358, 5391, 6392, 7355?\n\"Answer: -i**3 - i**2 + 1103*i + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2342337 divided by -7297\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*r + 1 + 22*r - 13*r - 6*r**3 as f*r + s + n*r**2 + v*r**3 and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, c: 1, y: 8, v: 2}. Give prob of sequence cpp.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*z - 6*z - 3*z to f + y*z and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o + 46. What is the smallest common multiple of 26 and l(-13)?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.07 + 1.93. Let s be (-1780)\/(-15)*12\/(-7). Let j = s + 203. Which is smaller: j or q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17756 divided by 4439\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/(-72)*(1 + -10). Let y be (-10796)\/18 + 5\/((-45)\/o). What is y rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1522*u - 206 + 13048*u + 5894*u + 2097*u.\nAnswer: 19517*u - 206","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26 + 7*m**3 - 65 + 39 + 1902*m - 6*m**3 to u + c*m**2 + x*m**3 + z*m and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -j**6\/120 + j**4\/12 - j**3\/6 + 4*j**2. Let z = 158 + -233. Let v be ((-50)\/z)\/(4\/6). Calculate l(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 4*h + 15, 36*h + 13 = -4*s + 39*h. Let a be (-1 - s)*5*3\/(-15). Factor -2\/5*n**4 + 18\/5*n + 14\/5*n**3 - 6*n**2 + a.\nAnswer: -2*n*(n - 3)**2*(n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -241, -264, -297, -346, -417, -516, -649, -822?\n\"Answer: -a**3 + a**2 - 19*a - 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 732 and -120.55876792.\nAnswer: 611.44123208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 1)*(2 + 2*g - 2 + (0 - 2 + 1)*(-88 + 88 + 27*g)) as w*g + j and give w.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**4*y))\/y*y**(-2\/17)*y**(-1)*y\/y**(-5\/3) assuming y is positive.\nAnswer: y**(-176\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - r**2 + 1. Suppose -103 - 169 = -8*u. Suppose -u*p + 50 = -52. Give k(p).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -5. Let v be 8 - (4 - 0) - t. Solve -3*w = -5*u - v, 5*w - 3*u - u - 9 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 8:32 AM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*p - 4*h, 0*h = 3*p + 3*h - 12. Let c be 3 + (1 - 3) + p. Suppose q + c = 3*r - 253, -77 = -r + 3*q. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 230 divided by 46\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/(sqrt(40)\/sqrt(4)))\/(sqrt(7)*1*-2).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -25. Let c = -9 + y. Suppose 0*v - 1 = v - z, 5*v + c*z - 19 = 0. Solve -7*j - 5 = -v*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (4 - -4) + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 83*i**2\/2 + 113. Let a(f) = -4*f. Determine a(y(v)).\nAnswer: -332*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 93747300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((17\/(-34))\/(12\/128)*-9)\/(-2).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**4 + 0*b**4 + 11*b**4)*(-2 + 5 - 15).\nAnswer: -180*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 2*b. Suppose -6*c = -2*c + 60. Let f(p) = -6*p**3 - 15*p. Determine c*i(q) + 2*f(q).\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -69 + 65. Sort 6, -3, 3, x.\nAnswer: x, -3, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(245)*-2)\/sqrt(5)*-3)\/((sqrt(3402) - -2*sqrt(3402))\/(-1*sqrt(486))).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 143059 (b) 0.5 (c) 0 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 966 = -5*d, 8*d - 4*d = -2*i + 772. Solve -388 + 194 + d - 5*r**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.09 + 0.99. Let r = -0.1 + x. Let l = -1 + r. Which is the nearest to -0.1? (a) l (b) 3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313971 is divided by 55.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4, 13, 30, 55, 88, 129, 178?\n\"Answer: 4*b**2 - 3*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237116342 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10591, 11035, 11777, 12823, 14179, 15851, 17845?\nAnswer: 20167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1\/6, -0.34, -0.4, -1?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)*2*-5)\/(-5*sqrt(5)*-1).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5*r**2 - 5. Let y(v) = -11*v**2 + 11. Let o(l) = 9*m(l) + 4*y(l). Factor o(g).\nAnswer: (g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.03 - 0.23. Let s be (0 + 0)*2\/(-2). Which is the closest to s? (a) 0.3 (b) r (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-34)\/2)\/(-8 - 141\/(-18)) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of 1\/45*k**5 - 2\/189*k**7 + 0*k**4 - 123*k**2 - 1\/540*k**6 + 0*k**3 + 0*k + 0 - 1\/504*k**8. Determine h so that b(h) = 0.\nAnswer: -3, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y - 17. Suppose 0 = -3*j + 5*f - 13, 3*f = 2 - 14. Let d be i(j). Let v(p) = p**2 - 7*p - 12. Let l be v(9). Solve -9 = -d*b + l for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((21\/15)\/(-7))\/(3\/3).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11.560891 + -11.555. What is p rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31 by 166.\nAnswer: 31\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17\/4 of a millimeter?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 297107\/102 or 2914?\nAnswer: 297107\/102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y**2 - 6*y + 3. Let w(g) = -g. Let i(t) = -t**2 - 6*t + 1. Let d(c) = -i(c) + 4*w(c). Calculate -11*d(v) - 4*z(v).\nAnswer: v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1627, 1649, 1683, 1729, 1787, 1857?\n\"Answer: 6*a**2 + 4*a + 1617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*l**4*r**3 + l**4*r - 23*l**3*r**2 - l**2*r**3 - l**2 - 11*r**3 wrt l?\nAnswer: 72*l*r**3 + 24*l*r - 138*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-2))\/(2\/((-4)\/2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -616 times 2\nAnswer: -1232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1807282, -1807248, -1807188, -1807090, -1806942, -1806732?\n\"Answer: 2*s**3 + s**2 + 17*s - 1807302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**3 + 3*h**2 - 3*h - 3. Calculate q(-4).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 16 + 3. Suppose -q + 4*q + r = -5*h, 2*q + 6 = -2*h. Let f = -1 + -1. Put 4, f, h in descending order.\nAnswer: 4, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -25*d. Let y(p) be the third derivative of -p**4\/8 - 2*p**2 + 5*p. Determine y(w(f)).\nAnswer: 75*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {t: 2, m: 16}?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5051202 (base 7) to base 15\nAnswer: -bceb3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78407 (base 16) to base 12.\nAnswer: 1b905b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.11442 times 2441\nAnswer: 279.29922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 0 + -2)*110\/66.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1321441 (base 5) to base 11.\nAnswer: -189a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 7*x + 7. Let t(s) = s**2 - 6*s + 6. Let j(n) = 6*f(n) - 7*t(n). Let i(y) = -33*y**2 - 40*y**2 + 103*y**2 - 33*y**2. Determine j(i(m)).\nAnswer: -9*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 21 + -20 + (-1 - 3) + 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -19*t**2 - 3 + 6*t + 58*t**2 - 2. Let s = -6 - 3. Let c be q(s). What is c rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88774+0.3\nAnswer: 88774.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 212, 728, 2098, 4736, 9056, 15472?\n\"Answer: 69*h**3 + 13*h**2 - 6*h + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 164 - 90 + 128 - 5*a**2 - 9*a**2 + 2*a**3 + 10*a**2 as m*a**2 + z*a + b*a**3 + d and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -2*b + 12, -76*b + 18*t = -72*b - 74 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 489 - 485 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2731c + 11?\nAnswer: -2730b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*l*q*u - 2045214*l*q - 160317*l*u - 5*l - 2*u with respect to q.\nAnswer: -11*l*u - 2045214*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 55, 157, 349, 661, 1123, 1765?\nAnswer: 2617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 4*i + 4*s, -i - 17 = -5*s - 22. Let g(u) = -38*u**3 + 44*u**2 - 32*u + 26. Let k(f) = f**3 + f**2 - 2. Let y(r) = i*k(r) + g(r). Factor y(a).\nAnswer: -2*(a - 1)*(2*a - 1)*(7*a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(130\/(-35) + 4). Suppose -2*c + s*c = 20. Suppose -9 = -c*i + 11. Solve -h - 25 = 4*f, -i*f + 2*h = 4*h + 35 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101969277?\nAnswer: 3, 71, 478729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.787548 rounded to two dps?\nAnswer: 3.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n + 42 = 10*n. Is (158\/14 + (-12)\/n)*7 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 580 minutes after 3:53 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g**2*h*q + 19*g**2 + 4697*g*q - 28912*h*q wrt h.\nAnswer: -2*g**2*q - 28912*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43261?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.688 + 7.49. Is k at most 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 35*v - 374 = -9*v for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**5\/3 - 44*r**4\/3 + 184*r**3\/3 - 368*r**2\/3 + 352*r\/3 - 128\/3.\nAnswer: 4*(r - 4)*(r - 2)**3*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/18*(-48)\/(-60)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -180, -1438, -4846, -11478, -22408, -38710?\n\"Answer: -179*u**3 - u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - m = -z + 72, -16 = 4*m. Let k = z + 24. Let g(h) = h**2 - 5*h - 7. Let c be g(12). Calculate the highest common divisor of k and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s + 8. Let w(a) = 4*a - 17. Let j be 65\/(-5) + -1 + 1. Give j*y(n) - 6*w(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**4 + 152242*c**3 + 5793949881*c**2 - 34770245992*c - 40564043632 = 0.\nAnswer: -76124, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**2\/7 - 82*n\/7 + 1152\/7 = 0.\nAnswer: 18, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 140?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18880 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*s**5 - 20*s**4 + 34610*s**3 - 77*s**2 - 422786.\nAnswer: 120*s**2 - 480*s + 207660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 40 + 11*c - 40. Suppose -4*b + 0*b + 12 = 0. Let m(z) = -4*z**2 + b*z**2 + 0*z**2. Calculate m(r(l)).\nAnswer: -121*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 215123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*t = -2*n - 10, 2*t = -5*n - 43. Let f = n - -118. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**0)**(-1))**(5\/7)\/((m**(-3\/5)\/(m**(5\/6)*m))\/(m**1)**49) assuming m is positive.\nAnswer: m**(10651\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3*2*sqrt(5) + sqrt(5))**2.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 284405?\nAnswer: 568810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15012 - -15016. Solve 4 = -y*b - 4*u, 0 = b + 21*u - 18*u - 7 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 406*t - 48 = 418*t. Sort t, 17, -1, -5 in increasing order.\nAnswer: -5, t, -1, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -560 - -559.6. Suppose -21 = 4*r - r. Let w be (-4)\/(-6) - r\/(-6). What is the fourth biggest value in 4, w, -0.3, j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.673 take away 0.3?\nAnswer: 11.373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -19*s**4\/12 + 273*s + 2. Let o(f) = 15*f**2. Calculate o(r(v)).\nAnswer: 5415*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 35, 0, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d**3 + 817*d**2 - 494*d - 338. Calculate o(-164).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tgtggntt. What is prob of sequence tn?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oovv when four letters picked without replacement from vovvmvvvmovm?\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**2 + 0*t + 3*t - 58*t**3 + 41*t**3 - 4*t in the form y*t**3 + r*t**2 + o + g*t and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 210 = -4*c, 2*c + c - k - 160 = 0. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 - 127\/4. Let q = -7.89 + 7.39. What is the third smallest value in 1\/5, q, y, -2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/4*((-132)\/55)\/((-3)\/(-15))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.601497659298 plus -0.12?\nAnswer: -0.721497659298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 8) to base 14.\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**3 + 9*x**3 - 7*x**3)*(-4*x + 3 - 23*x + 12*x).\nAnswer: -75*x**4 + 15*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 12*h**2 + h - 5. Let a be i(12). Solve 1 + a = -2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6*((-21)\/9 + 2). Let m = 42 + 10. Let c = 56 - m. Solve -q*b - c*w - 6 = -3*b, 20 = -5*b - 5*w for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/260 and -1\/35830?\nAnswer: 931580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (-3 - 3)) + (8 - 13) + 1 + -55?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 246 - 246.111. What is z rounded to 2 dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of i**8\/10920 - i**7\/2730 + i**5\/390 - i**4\/156 + i**3\/3 - 7*i. Let y(m) be the second derivative of k(m). Factor y(n).\nAnswer: 2*(n - 1)**3*(n + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 2 (c) -412\/3 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12300133313 - -3203?\nAnswer: 12300203122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 114874537 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -7*w**2 + 447*w - 842. Let m be d(61). Calculate the greatest common factor of 42 and m.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a hour in minutes?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dh when two letters picked without replacement from {d: 13, h: 4, i: 3}.\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/4 - (1 - 2). Let v = -4.04 - -1.04. What is the second biggest value in v, z, -1\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110001000010 (base 2) to base 16.\nAnswer: -c42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -9*p**2 + 2*p + 3. What is z(-3)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**2 - b**2 - 2*b + b + ((-169 - 10*b + 169)*(-1 - 5 + 4) + b + 4*b - 3*b)*(-5*b - 19*b + 0*b).\nAnswer: -531*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 152078 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 43, 135, 357, 775, 1455, 2463?\n\"Answer: 11*q**3 - q**2 + 18*q + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-290)\/87) + 4\/(-8)*(-5 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence laec when four letters picked without replacement from {t: 1, l: 4, e: 2, a: 2, h: 6, c: 2}?\nAnswer: 1\/1785","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8370\/(-1953))\/((-9)\/(-21)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**2*p**2 + b**2*p + 18*b**2 + 3*b*p + 300*p**2 wrt p?\nAnswer: 4*b**2 + 600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 50\/(-5)*(-5)\/2. Let p = u - 24. What is the smallest common multiple of p and 1 + 14*4\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {r: 6, y: 3, t: 1, i: 5, f: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 85*r + 478. Determine b(79).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11877190 is divided by 108.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -189.8 + 166. Let z = 20 + k. What is z rounded to one decimal place?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of n**9\/30240 + n**8\/13440 - n**7\/5040 - n**6\/1440 - n**4\/12 + n**2. Let w(y) be the second derivative of v(y). Factor w(d).\nAnswer: d*(d - 1)*(d + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-2) - (36 + 46 + -75))\/((-3)\/(-67)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**2 + 6. Let c be f(2). Let m be (4\/9)\/c - 130\/(-99). What is the closest to m in -1, -0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) -0.5 (c) -1.1 (d) -5 (e) 389.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -12904.686\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 422 and 2.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -866798081 rounded to the nearest 100000?\nAnswer: -866800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**3 - 3*i**2. Let r be t(-3). Let a be (-2)\/(4 + r\/(-6)). Solve -y = y + a for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 3*m**2 - 5*m + 4. Let y be (4\/(-12))\/((-6)\/18) + 3. Give w(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -2*u**3 - 2*u**2 + 128*u + 128 = 0.\nAnswer: -8, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -11c9?\nAnswer: 11cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 10) in base 12?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.15, -4, -3, 2\/163 in decreasing order.\nAnswer: 2\/163, -0.15, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17507466?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 201 and 4556?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -8422718.49 to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 - 3*z**2 + 2*z**2)*(-4 + 0 + 2) + z**2 + 5*z**2 - 5*z**2 + z**2 + z**2 - z**2 + (5 - 1 + 4)*(10*z**2 - 3*z**2 - 5*z**2).\nAnswer: 20*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 136492742011 and 605.\nAnswer: 136492742616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -7*y**2 + 4*y - 4. Let k(a) = 37*a**2 - 19*a + 21. Give 11*d(q) + 2*k(q).\nAnswer: -3*q**2 + 6*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vhi when three letters picked without replacement from lxbvihhxxxhhvbl.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.089 - -8.189. Let v = 8 - j. Let p = -19 - -20. What is the third biggest value in v, -2, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 258 + -260. What is the tens digit of 4 + -3 + 1*(z + 127)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -12. Let x be 13 - 3\/(-6)*j. Let v(i) = -i**2 + 14*i + 12. What is the tens digit of v(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(130)*-3 + sqrt(130)*1*5)\/(3*(sqrt(90)*-2*-1 + sqrt(90))).\nAnswer: 14*sqrt(13)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 1 = 7. Suppose -4*c - 2*m = -6, 2*m + 21 = n*c - 3*c. Determine h, given that -1\/3*h**2 - 1\/3*h**c + 0*h + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3127066.\nAnswer: 2, 1563533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*q + 5*m, 2*m + m = -4*q - 4. Let s be 69\/84*1 - 1. Let j = s + -4\/7. Which is smaller: q or j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 269*z**2 + 1219*z - 41216. What is w(-274)?\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 7267*t - 1264479. Give c(174).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 70700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 times 0.05472929?\nAnswer: 3.06484024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 473 is divided by 196?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xzbr when four letters picked without replacement from xbkzfkrz?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 f when three letters picked without replacement from {y: 3, c: 2, m: 3, s: 1, h: 1, f: 2}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4754817, 9509637, 14264457, 19019277?\n\"Answer: 4754820*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o + 6*o**3 - 9*o**3 + o**3. Determine z(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 454 by 227.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-28 - 2)\/(6\/(-14) + (-273)\/(-5096)). Let x(u) = -u**2 - 9*u - 4. Let a be x(-7). Calculate the greatest common factor of y and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1211 is divided by 321?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -559997*c**2 + 15*c. Let x(d) be the second derivative of -d**3 + 7*d**2\/2 + 49*d. Let l be x(2). Let r be h(l). Round r to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33118 = -361*d - 18562 - 10773. Which is bigger: d or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1 + sqrt(76) + (sqrt(76) + 1)*-4 + -1*(sqrt(76)*2 + sqrt(76) + sqrt(76)) + -2 + -2)**2.\nAnswer: 252*sqrt(19) + 3805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -637 - -637.4. Let o(x) = x**3 + x**2 - 3*x - 5. Let z be o(-2). Which is the second smallest value? (a) z (b) -1\/5 (c) g (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4291759\/119 or -36065?\nAnswer: -36065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -885031.212 + 885182.2120046. Let n = p + -151. Round n to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -248, -496, -744, -992, -1240, -1488?\n\"Answer: -248*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -208961646*c**4 + 34930888 wrt c.\nAnswer: -835846584*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -5*d - 8, 0*a = 5*a - d - 90. Let p = -17 + a. Let k(f) = -f**2 + 2*f + 68. Is 20 a factor of k(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 107 and 2?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002630628916 to seven dps.\nAnswer: -0.0026306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*k*y**2 + 4*k*y + 20*k - 531317*y**4 + 4518*y + 2 wrt y.\nAnswer: -38*k - 6375804*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + y + 1. Let k(t) = 7*t**2 - 6*t - 6. Let w(f) = 6*g(f) + k(f). Let l(x) = -37*x. What is l(w(h))?\nAnswer: -37*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**3 + 103472*r**2 - 14837760*r + 533412864 = 0. What is r?\nAnswer: 72, 25724","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11721 and 128552021?\nAnswer: 3907","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2999586*d**4 + 5419484*d wrt d.\nAnswer: 35995032*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 72, 5, 107, 16 in descending order.\nAnswer: 107, 72, 16, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**3\/9 + 286*i**2\/9 - 844*i\/9 + 560\/9 = 0. Calculate i.\nAnswer: 1, 2, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54679\/8 + 6826. What is the common denominator of m and -65\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 10. Suppose r*a - 7*a - 4*f = -40, -4*f = -20. What is the remainder when 27 is divided by (-42)\/9*(-6)\/a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (1 + 5)) + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 12:37 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2043285?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 22*c - 3*c**2 + 7 - 18 + 3*c**2 - 2*c**2. Let v be d(10). What is the smallest common multiple of (v\/6)\/(18\/120) and 26?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**2 + 2*n. Let o(g) = -3*g**2 - 2*g. Determine 5*d(a) + 6*o(a).\nAnswer: -3*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34396935?\nAnswer: 3, 5, 19, 120691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5071601, -5071605, -5071609, -5071613?\n\"Answer: -4*d - 5071597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2466 - 2466 + 5*t.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 106\/3*s**2 + 152\/3*s + 24 + 28\/3*s**3 + 2\/3*s**4.\nAnswer: 2*(s + 1)*(s + 2)**2*(s + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -473*z - 3309. Determine p(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60 - (-14 + 28)) + 5 - 10?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 89*i - 154. What are the prime factors of y(-24)?\nAnswer: 2, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 - 41*p + 51 + 13*p.\nAnswer: -28*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -34 + 4. Let b be 45\/(-30)*(-560)\/3. Suppose -24*q - b = -28*q. What is the highest common divisor of p and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -767\/36 - -87\/4. Which is the nearest to 3\/5? (a) l (b) 2\/11 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.64953 rounded to one decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(18) + sqrt(18) + 1 + -3 + sqrt(18) + 2 - -4*(0 + sqrt(18)*-2)*2)**2.\nAnswer: -156*sqrt(2) + 3046","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1105 + 6*c + 1105.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1991766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.6882 to one decimal place.\nAnswer: -10.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 639.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23240356 a multiple of 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 + 723*g - 35910.\nAnswer: -3*(g - 171)*(g - 70)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9581 and 379756?\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1099 (base 10) in base 5?\nAnswer: -13344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*f + 0 - 33 = 0, 0 = 4*g + 2*f + 42. Let t be (-8)\/3*g\/2. Calculate the greatest common divisor of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*((-16)\/12 - -2). Let m(b) = b**2 - 2*b + 2. Let r be m(g). Suppose 2*y + 2*x - 125 = -y, -5*y + 235 = -r*x. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9335472cm to micrometers.\nAnswer: 9335.472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342201.\nAnswer: 3, 114067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2324?\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -10 - (-1 + -6) - (11 + -4)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 171285, 342570, 513855, 685140, 856425?\nAnswer: 1027710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22728, -21168, -18610, -15060, -10524?\nAnswer: -5008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 8*h = 9. Suppose 0 = -h*d - c + 2*c - 45, -5*d = -4*c + 82. What is the units digit of (1*-5)\/(7\/d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.42 - 0.08. Let i = v + -2.5. Put 3\/2, -2, i in ascending order.\nAnswer: i, -2, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/5 + (-416 - 2). Let v = p - -695. Suppose 0*j = -4*j + v. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (3 - 4)*14. Suppose 5*a - 5*j = 50, -4*a = 4*j + 31 - 87. Let u = i - a. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(sqrt(300) + (sqrt(300) - sqrt(300)*2) - sqrt(300)))**2.\nAnswer: 7\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50 + 51. Let s(i) = 24*i**2 + 5*i - 5. Let x be s(r). Let y(v) = -v**3 + 23*v**2 + 24*v + 10. List the prime factors of y(x).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 0*p + 280 = 3*c, 0 = -c + 3*p + 96. What is the remainder when c is divided by 79?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52001232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/6 and (-5)\/(10320\/(-4376)) + -2.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1422 * -1.4\nAnswer: 1990.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 + -42. Which is the closest to u? (a) -0.1 (b) -1\/7 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 301 (base 16) to base 10.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j**2 - 5*j**2 + 5*j**2. Let d(o) be the second derivative of -17*o**4\/12 + o - 93. Give t(d(l)).\nAnswer: 867*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -1 - 9. Suppose -j - 18 = s*j. Suppose a = -0*a - 16*a - 170. Is a at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61 - -64. Let n be 100 - (3 - 2)*w. Suppose 3*r = -r - 16, -r - n = -b. Is b a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20901407 rounded to the nearest one million?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 985919 != 985888?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 107479 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + (0 - (-10 - -2)). Suppose 3*m + m - 104 = 0. Calculate the remainder when m is divided by 4\/n + 54\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3554462380 to the nearest integer?\nAnswer: 1526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*n - 25*n + 1632. List the prime factors of n - (-8 - -5 - -1).\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-7 + 7 + 4*y)*(y**2 + 3*y**2 - 6*y**2) + 5*y**3 - 2*y**3 + 3*y**3)*(1 - 3*y - 1) to the form r + q*y**4 + w*y**3 + n*y + b*y**2 and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s. Let q be b(-1). Suppose -q*g = -6*g + 6. Find the first derivative of 3*x + g - x - 4 wrt x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4962.000736 + -4962. What is o rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10076 and 132.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 250\/25*-4*(-3)\/(6\/(-1)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -h**4\/3 + 11*h**2 - 29*h. Let q(r) be the first derivative of p(r). Let i(m) = -2*m**2. Calculate q(i(x)).\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a day in hours?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - f. Let v(c) be the third derivative of 0*c**4 + 1\/420*c**6 + 0 + 0*c + f*c**3 + c**2 + 1\/210*c**5. Factor v(w).\nAnswer: 2*w**2*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1012 and 16162?\nAnswer: 16355944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3 - 3180*b**2 - 149196*b - 146020.\nAnswer: -4*(b + 1)*(b + 49)*(b + 745)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 2:15 AM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 36 - 96. Let t = 34 + g. Suppose -5*v = -4 + t. Put v, -5, -0.4 in increasing order.\nAnswer: -5, v, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.9399 + -0.0601. Which is the closest to 3? (a) m (b) -0.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.39006um in meters?\nAnswer: 0.00000439006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 267 - 200. Let n(y) = y**2 - 8*y + 7. Let c be n(5). Let l = u + c. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.248386969 rounded to 4 decimal places?\nAnswer: -0.2484","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -762595700 to the nearest one million.\nAnswer: -763000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**4\/2 - 96*l**3 + 1887*l**2\/2 + 20535*l = 0.\nAnswer: -10, 0, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*z**2 + 1)*(z + 2*z - 4*z) + z**3 + 0*z**3 - 2*z**3 + 0*z**3 + z**3 - 4*z**3 - z**3 - z**2 + 1 - 1.\nAnswer: -3*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v**2 + 13*v - 4. Let u(x) = -x. Let o(g) = -t(g) - 4*u(g). Let m be o(4). Calculate the greatest common factor of m and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v**2 + 6*v**2 + 3*v**2 + 3*v - 2*v**2 to the form g*v**2 + l*v + o and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g**2 + 2*g + g**2 + 3*g to a*g**2 + c + l*g and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38.06 + -36.06. Let o = 0.17 + -0.07. Which is the nearest to o? (a) j (b) 3\/19 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 171604 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1324*j - 1714*j + 52 = 3172. Let b(y) be the second derivative of -y**3\/6 + y**2\/2 + y. Determine b(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.489, 4, -1, 0?\nAnswer: -1.489","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: What is the lowest common multiple of 11 and 165?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqo when three letters picked without replacement from {o: 2, y: 2, q: 3, j: 4, z: 2}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 11\/8. Calculate the common denominator of d and -7\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fm when two letters picked without replacement from gemmf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206*w - 210*w + 2 = 3*t, 4*t = -w - 6. Let a be (-4)\/6*(-30)\/20. Solve 5 = -w*f - a for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -2443, -4, -0.074 in decreasing order.\nAnswer: 0.2, -0.074, -4, -2443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22296 - 579615\/26. Find the common denominator of -3*2\/6 + (-70)\/44 and v.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 + (-12 - (61 - 17)) - (-1 + 18).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11238943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 801 + 2044. List the prime factors of k.\nAnswer: 5, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t + 11. What is the units digit of r(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dww when three letters picked without replacement from dggwgddwdddrwg.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 47.7312 * -1.\nAnswer: -47.7312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d**3 + d**2 - 6*d - 2. Let r(j) = 7*j**3 - 2*j**2 + 13*j + 4. Let b(s) = 9*l(s) + 4*r(s). Let q = 1 - 3. Give b(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 45.640672 + 1006.619.\nAnswer: 1052.259672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -3 - (334 - 342)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 56 = 5*s - 9*s, -5*s - 70 = 4*i. Which is the second smallest value? (a) s (b) 12 (c) 0.2 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w + 7. Let c(u) = -3*u - 22. Determine -21*b(a) - 6*c(a).\nAnswer: -3*a - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - g**2 + g. Let v(c) = 55095*c**3 - 4*c**2 - 2*c + 8. Let p(i) = 2*s(i) - v(i). Let r be p(6). What is r rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.451 - 561506.65?\nAnswer: -561500.199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 6*v + 52 - 48)*(0 - v + 0).\nAnswer: -7*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 0. Suppose -4*k + 9 = -0*s + 3*s, 3*k - 3*s + 9 = 0. Let b = k - 5. Sort l, -2, b.\nAnswer: b, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(7 - 3) - 7. Let d = q + -3. What is the remainder when 2\/d + 1275\/27 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211*g + 57*g + 58*g + 53*g + 50*g.\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bqamqqqqabdabtqqba. What is prob of sequence qm?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + -1*1 + (-34 - -33). Solve 4*x + 14 = 3*u, i*x + 3*u + 6 = 5*u for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (27 - 11 + 17)*(0*s**3 - s**3 + 115*s - 113*s) in the form v*s + j*s**2 + t*s**3 + k and give v.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -140, -143, -148, -155?\nAnswer: -164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2823313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 6*d + 5. Let h be l(-2). Put 9, 4, h in increasing order.\nAnswer: h, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-one halves of a minute?\nAnswer: 1230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-3\/5)*p**7)\/(p\/(p\/p**(2\/7))*p)**(41\/2)*((p**(1\/8)*p)\/(p*p**(-2\/19)*p))**20 assuming p is positive.\nAnswer: p**(-22844\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 579 = -3*d + 576, 5*d + 31 = 2*p for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -9*d + 39*d - d + 21*d - 6 - 3. Give z(1).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/33 and 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-177)\/9 - -2*1\/(-6). Let z(s) = -4*s. Let b(v) = -v. Calculate h*b(c) + 6*z(c).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -7654, 3 in descending order.\nAnswer: 3, 0, -1, -7654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 29019*f - 45759?\nAnswer: 29019","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 185922 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: What is the value of 5 + -9 + (0 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -272*i**2 + 721*i + 714*i + 1 + 2*i**3 - 1430*i as d*i + a*i**2 + o + r*i**3 and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1808582*x - 126041 with respect to x.\nAnswer: 1808582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1361066 is divided by 70?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -353600 (base 7) in base 4?\nAnswer: -33210011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52*w**5 - 2*w**2*x - w*x - 14*w wrt w.\nAnswer: -1040*w**3 - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-x - x + 3*x)*(-1 - 4 + 6) + 0*x + 0*x + 2*x - 3 + 3 - 2*x + 2*x - 4*x + 3*x)*(-4 + 4 - 1)*(-x + 4*x - x).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 608\/1881 + (-5)\/90*-4?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 145 + -99. Suppose -16 + x = i. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.4 in 31, -1\/3, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 1477094.2?\nAnswer: -1477094.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10462 + 17529. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 2*c + 3*c**2)*(0*c**3 + 8*c**3 + c**3 + (1 - 1 - c)*(-3*c**2 - 2*c**2 + 4*c**2)).\nAnswer: 30*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*r - 3*l + 12 = 37*r, -20 = 2*r - 5*l for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q + 4. Let z be w(3). Let h be 2\/(-14) - 36\/(-7). Suppose h*p = z + 67. Calculate the remainder when p is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(140\/30))\/(6\/(-20))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/942 and -57\/14?\nAnswer: 6594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1341091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**4\/3 - 4724*s**3\/3 + 1989574*s**2\/3 + 1994300*s\/3 = 0?\nAnswer: -1, 0, 550, 1813","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.065 + 1075.935. Let l = -1076.00617 + p. Round l to 4 dps.\nAnswer: -0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 694599 to the power of 1\/2, to the nearest integer?\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/12 and 63\/142.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 778276133 to the power of 1\/2, to the nearest integer?\nAnswer: 27898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7708754 rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -304 - -308. Let g be 22\/18 + (-6)\/27. Sort 5, g, p.\nAnswer: g, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67*o**2 + 32*o**2 - 30*o**2)*(-60 + 137*o**2 + 60 - 11*o**2 + 20*o**2).\nAnswer: -9490*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/42*-18*(-1)\/126*4?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -69*u + 1450. Let l be h(21). Let z be (1 + -2)\/(-11)*1. Put 0.4, l, z, 2 in decreasing order.\nAnswer: 2, l, 0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 196\/3 (b) -102 (c) 0.2 (d) 0 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 38 = 46 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/1177708 and -113\/574.\nAnswer: 48286028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + 2*k + (0 - 3 - 2)*(0*k + 5*k - 2*k) + (-2*k + 8*k - k)*(6 - 4 + 5) in the form i + b*k and give b.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1698?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*s = 15*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 + (817 - -7) + -3 is divided by 78?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-145692)\/(-44) + (-14)\/77. Suppose -x = -9*r + 55. Does 22 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**11*j)\/j)\/(j**(-4\/11)*j*j) assuming j is positive.\nAnswer: j**(103\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 11*y + 6. Let q be w(12). Let r be (-92)\/q*6*25\/40. Let o = 57 - r. What is the closest to -3 in o, 1\/2, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2 + 2 + 0 + r + 2*r**2 - 1. Let p be v(1). Let f = 70 - 65. Solve -1 = -p*d + f for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5*y**2. Let g be 3*-3*(-8)\/18. Let z(q) = 1. Let r = -51 + 52. Let c(n) = -n - 4. Let l(j) = g*z(j) + r*c(j). Determine p(l(w)).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-6)*m**(-3\/4)*m*(m**3\/m)\/m*m**6 assuming m is positive.\nAnswer: m**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -2861\/93 and -32 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -24*a - 111. Calculate m(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18324 and 479536026?\nAnswer: 3054","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by (-14 + 2)*(-8 - (-124)\/16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132209 and 56287?\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1ed5 + -1f?\nAnswer: -1ef4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = h. Let d be 4\/10 + 32\/20. Suppose d*y - 2 = -b, 8 = 2*b + y + 2*y. Solve b = -h*q - 5*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 1791\nAnswer: 716.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.5 (b) 0 (c) -2623 (d) -5\/4 (e) -3\/7 (f) -326\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1448979 is divided by 841?\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 61\/(-6)*((-182)\/77)\/13. Let h = m + 9\/11. Factor 0 + 4\/3*s**3 - h*s**2 - 2\/9*s**4 + 16\/9*s.\nAnswer: -2*s*(s - 2)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1839138 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y + 10. Let j be n(0). Suppose g + 2*l = 62, j*l - 5*l = g - 27. Suppose 2*o - 14 - 12 = 0. What is the highest common divisor of g and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1322135 (base 7) to base 2\nAnswer: 101010011001000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.102, -5, 1\/7, -47 in ascending order.\nAnswer: -47, -5, 0.102, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 19*w**2 + 4*w - 13. Let v be -14 + 0 + (-66)\/(-22). Is f(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 6552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 27108*u - 73591*u + 4.\nAnswer: -46483*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 plus -1472658034?\nAnswer: -1472658151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1 (b) -0.4 (c) 3 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11485?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of a**4\/4 + 8*a**3\/3 + 5*a**2\/2 - a - 1. Suppose -l + 3*n = -8, 2*l - 43 = 6*l + 3*n. What is the units digit of h(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -1\/6, -0.047 in decreasing order.\nAnswer: -0.047, -1\/6, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = o + 4*t, o + 0*t + t = -4. Let s be ((0 + 195)\/(-5))\/o. Let u be 1 + (s\/(-9) - -4). Is u greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -313 * 5\nAnswer: -1565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 12 = -4*z. Suppose -2*b + 78 = 5*x - z*x, 4*x = b + 141. What is the tens digit of (-3)\/(-12) + 1575\/x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35807.1926 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 1988?\nAnswer: 596.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 7*o + 4. Let t be p(-6). Suppose 4*v - i = 40, 4*v = 5*i + 36 + 20. Which is greater: v or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 77 - 72. Solve 6*n = z + 2*n - 25, 2*n - g = -3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6051909 or -7?\nAnswer: -6051909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -ccb + -3abb?\nAnswer: -4ab9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -7*n**3 - 17*n**2 - 15*n + 19. Let p(b) = -4*b**3 - 9*b**2 - 8*b + 10. Determine 11*p(g) - 6*w(g).\nAnswer: -2*g**3 + 3*g**2 + 2*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10312 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 263 + 9 - 12\/(-2). Which is smaller: i or 279?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {y: 6, r: 4, l: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 14205, 28405, 42613, 56829?\n\"Answer: 4*x**2 + 14188*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3b - 3?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 < -0.0124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, r: 1, f: 1, e: 2}. Give prob of picking 1 r and 1 f.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7935818 and 16137?\nAnswer: 71422362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1040988 and 624.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -485790239 and -0.3?\nAnswer: 145737071.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 807864582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 8*w**2 + 5. Let u be m(-8). Suppose -n - 4*n + u*g + 20 = 0, 56 = 5*n + 4*g. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h + 0 + 0 + (0 - 7 + 2)*(h - 4*h + h) - 14 - 22 + 7*h - 5*h + 11*h.\nAnswer: 20*h - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**2 + 9*w + 6. Let n be k(6). Let z(p) = p**2 + 2*p + 4. What is the hundreds digit of z(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 4*v + 44, 160 = 5*q - 8*v + 3*v. Suppose 0 = -4*u + u - 96. Calculate the common denominator of -71\/14 and 1 + q\/u - -1.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3952805, -7905611, -11858433, -15811277, -19764149, -23717055, -27670001?\n\"Answer: -j**3 - 2*j**2 - 3952793*j - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 17*i. Let a(w) = -6*w. Let l(b) = 11*a(b) + 4*o(b). Let n(f) = -5*f. Let p(v) = 6*v. Let j(h) = 5*n(h) + 4*p(h). What is j(l(q))?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 945884851?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1293878 + 506.294.\nAnswer: 1294384.294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -15*p + 6. Let t(y) = -y + 1. Let m(l) = 9*t(l) - x(l). Find the first derivative of m(i) wrt i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.584 times -0.1\nAnswer: -0.1584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -244*s**2 - 6. Let m(a) = 2*a**2. Calculate m(n(v)).\nAnswer: 119072*v**4 + 5856*v**2 + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -1896783.\nAnswer: -1896782.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(3*3\/18). Let v = a + 3. Suppose 0 = 5*b - 5, -5*u + v*b = b - 51. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6729*s**4 - 884*s - 9497779.\nAnswer: 26916*s**3 - 884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6*-0.281\nAnswer: -1.686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4126629523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -65*d**3\/27 - 457*d**2\/18 - 14*d\/9 - 2875. Find y such that u(y) = 0.\nAnswer: -7, -2\/65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149536291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**2*d**4 - 2*c**2*d**2 + 332*c**2 + 588*c*d**3 - 2*c*d**2 - 2*d**4 + 2*d**2 wrt d?\nAnswer: 24*c**2*d + 3528*c - 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 + 4*a - 4*a + 2*a**2 + 3*a**2 - 6*a**2 + 0 - 2*a**2 + 0 + (-a + 0*a + 0*a)*(4*a - 7*a + 2*a))*(-612 - 613 + 1230 + 5*a + 2*a**2).\nAnswer: -6*a**4 - 15*a**3 - 15*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 7*z**2 - 2*z + 15. Let u be (3\/(15\/35))\/(2\/2). Let w be v(u). Let r = 2 - 2. Solve -d = -k - w, 3*k = -d - r*d + 13 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 4:34 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 3. Let x = 156932 + -156926. Solve r*f + 5*h - 13 = -f, -x = -4*f + 2*h for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 15) to base 10.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zvzlzczhluhhzuhzuu. Give prob of picking 1 v, 1 h, and 1 l.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6401888*m - 14895162 wrt m.\nAnswer: 6401888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 280372, 560608, 840844?\n\"Answer: 280236*i + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/2263495 and -9\/6305.\nAnswer: 2263495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f + 18 = 3*m, 3*f - 3*m + 14 = 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 93204099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15934 or 15572?\nAnswer: 15572","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 6*j - 10. Calculate v(-9).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(175) + 0 + 4)**2*4.\nAnswer: -764 - 160*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 12, -4 in increasing order.\nAnswer: -4, -2\/11, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r - 9*r - 1956 = 0. Which is smaller: r or 325?\nAnswer: 325","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70584, -70613, -70652, -70695, -70736, -70769?\nAnswer: -70788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 56*r + 0*r**2 - 78*r + r**2 + 64*r - 132*r.\nAnswer: r**2 - 202*r - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 + 1086*k**2 - 145782*k - 447174.\nAnswer: -2*(k - 273)**2*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o\/o**(-4\/13)*o)\/o*o*o**12*o)**(-47) assuming o is positive.\nAnswer: o**(-10575\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/3 - (-82 + 14 + 3 + -9). Suppose 4*r = t + 2*t + 374, 2*t = 3*r - 280. What is the greatest common factor of r and q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22294300?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2300, -8888, -19880, -35282, -55100, -79340?\n\"Answer: -q**3 - 2196*q**2 + 7*q - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + y = -3*d - 17, 19 = 5*d + y. Suppose -5*z = -21 - d. What is the remainder when (-2*z)\/(2\/(-3)) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -801, -799, -795, -789?\n\"Answer: f**2 - f - 801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = y - 11 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*d - 1422 = 5*d + 230 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 0.05166.\nAnswer: 0.015498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 59 + -1?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2*-5*sqrt(275))**2*-5.\nAnswer: -687500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4005, 5, 44 in descending order.\nAnswer: 4005, 44, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.417 + 8.417. Which is the closest to -1? (a) 2\/17 (b) -1.93 (c) r (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rtrsltiy. What is prob of sequence sty?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9823.239 decades?\nAnswer: 982.3239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 5*s**2 + 49*s - 272. Determine x(5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(2\/15))**6*(z**(-1\/6))**(-3\/8) assuming z is positive.\nAnswer: z**(1029\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(3\/8)*h\/(h\/((h**(-4)*h)\/h)) assuming h is positive.\nAnswer: h**(-29\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -113 (base 7) to base 6\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -112010010220001 (base 3) in base 9?\nAnswer: -15103801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -146 at most -436\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*n - n. Let v(o) = 5*o**3 + 3*o**2 + 1. Let w be v(-3). Let j be (-12)\/42 + w\/(-7). Solve -f = 4*f - t - j, -n*t = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81568871549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nxnnxnnnnnxnnn. What is prob of sequence nxnx?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 - -35. Suppose 0*c = n*c. Let r(u) = 4*u**2 - u. Let b be r(1). Sort c, 1, b.\nAnswer: c, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 4*u + d - 320, -2*d = 2*u - 174. What is the greatest common divisor of u and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a litre in millilitres?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 87863.98 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - i - 25, 35*j - 40*j + 4*i = -34. Solve -4*q - j = 10 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10316*79\nAnswer: 814964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**4 + 109*f**3 + 35*f - 86. Let y(q) = -53*q**3 - 18*q + 43. Let u(j) = -3*g(j) - 5*y(j). Find the second derivative of u(r) wrt r.\nAnswer: 72*r**2 - 372*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 1, -0.2, 1\/6, 0, -4669?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 292\/23, -1, -3, -2\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**2 + 40*l + 36. What is p(21)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 36 (c) 2\/13 (d) -2 (e) 0.3 (f) -1\/30 (g) 3\/2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 4*c + 726 + 1786, -2497 = -4*l + c. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56 + -104 + 219 + -71?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -9*y + 35. Let t be v(4). Let i be ((-1)\/t)\/(4 + 102\/(-26)). Solve -3*c - 4 + i = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (k + 0*k - 3*k)*(0*k**2 + k**3 + 0*k**2) + (-2*k + 4*k + 0*k)*(-7*k**3 - 8*k**3 + 10*k**3) as x*k**2 + r + o*k**4 + z*k**3 + p*k and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -129, -133, -147, -177, -229, -309, -423, -577?\n\"Answer: -s**3 + s**2 - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 711.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ph when two letters picked without replacement from {h: 2, p: 1, g: 1, o: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 14*i + 5. Let a be w(-14). Suppose -422 = -a*b - 112. Is 17 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -88, -338, -748, -1312, -2024, -2878, -3868?\n\"Answer: k**3 - 86*k**2 + k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2456048389*t**2 - 2456048389*t**2 + 15*t**3.\nAnswer: 15*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 + (19 - ((29 - 36) + -11 - -18)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 9*h - 12*h, 4*h + 32 = 4*j. Calculate the common denominator of (-31)\/6*h\/(2295\/18) and 14\/187.\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p - 48. Let f(a) be the third derivative of 3*a**4\/2 + 2922*a**2. Calculate g(f(h)).\nAnswer: 36*h - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87116243 - 2.\nAnswer: 87116241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -60796, -121030, -181264?\n\"Answer: -60234*d - 562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v**3 + v**2 - 2*v + 1. Let c be 23\/161 - (-6)\/7. Give k(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25214402 - -223?\nAnswer: -25214135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 66\/(-18) - (2 - 5). Let t = 0.31 - -4.69. Which is the closest to w? (a) 3 (b) t (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -7*v**6\/120 - v**5\/30 - v**3\/6 + 6*v**2. Let s be x(-2). Let r = s - 34. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -4, -3 in descending order.\nAnswer: -3, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/14 and -107\/666.\nAnswer: 4662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 4*a = 11, -3*m = 2*m - 5*a - 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11981 + -4373. List the prime factors of a.\nAnswer: 2, 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1e3 (base 16) in base 3?\nAnswer: 122220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -3, -417, 3, -1.\nAnswer: -417, -5, -3, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 1768 = -4*i, -3*i - 2*l - 442 = -4*i. Suppose -1302 = -8*v + i. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11062 + -125?\nAnswer: -11220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 9*m**2 + 7*m - 5. Let b be r(-8). Let z be (-108)\/(-15) + 1*b\/(-15). Solve -2*u = -z*u + t - 16, -4*u = 3*t + 28 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 4*s**4 + 0*s**4 + 5*s + s - 2*s**2 + s**3 - 3*s**4 + 3*s**2 to the form v*s**4 + p*s**3 + r*s**2 + j*s + t and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -a34?\nAnswer: a37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.3 * 21.\nAnswer: -27.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1857.93 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 172*j - 1413. Let l be w(18). What is the highest common divisor of l and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -980159\/12 - -81623. Let v = p + 236\/3. Find the common denominator of v and (3\/8)\/(8\/(-232)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k*k**22*k))\/k**(-10\/7)*k\/k**(1\/3)*k**(2\/43) assuming k is positive.\nAnswer: k**(-17932\/903)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 6:41 PM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/15 + (-44)\/10. Let x = 5 + t. Let a be (x*-2)\/2*-9. What is the greatest common divisor of a and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + w**2 + 2*w - 1. Calculate u(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 3*w + 10 + 38, -5*k + 120 = -5*w. Calculate the greatest common divisor of k and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576501.8 weeks in microseconds?\nAnswer: 348668288640000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 7:58 PM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 56, 123.\nAnswer: -3, 0, 56, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -3*w - 7, 120485*j - 120486*j - 4*w - 5 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/5*(-63250)\/20. Round c to the nearest one hundred.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*f - 339*f**3 + 38*f - 514*f**3.\nAnswer: -853*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15017371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15764)\/563*(-6)\/(-21).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 5\/2)*-6. Suppose -i*m + 2 = -8*m. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 0*s + s)*(-2 - 2 + 5) + 2*s - 4 + 2 - 12.\nAnswer: s - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -6. Suppose -q + 160 = 4*p, 5*p + 5*q - 38 = 147. Calculate the remainder when p is divided by 3\/(1 + t) - (-9 - -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 0 - (-3 - (-3 + -2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - v + 2)*(0*v + 2*v - v) + 7*v**2 + 15*v**2 + 107*v**2 + (1 - 1 - 2*v)*(1 - 1 - v).\nAnswer: 130*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(1200)*4 + sqrt(12))\/sqrt(4) + (-3 + sqrt(192))*-1)*3)**2.\nAnswer: 1782*sqrt(3) + 29484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -119459*k*l**4 - 182*k*l - 5*k + 26975443 with respect to l.\nAnswer: -477836*k*l**3 - 182*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3076527.\nAnswer: 3, 1025509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t - 2. Let k(o) = -2*o. Let j(n) = 5*n. Let m(g) = j(g) + 2*k(g). Determine -2*m(i) + v(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -5*s**2 + 360*s - 6480 = 0.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -737, -1519, -2325, -3149, -3985, -4827, -5669, -6505?\n\"Answer: o**3 - 18*o**2 - 735*o + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 14. What is the nearest to b in 4\/3, 7\/3, 5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*s + 8*s**2 + 50*s - 19*s**2.\nAnswer: -11*s**2 + 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 5*d - 6. Suppose -20 = -5*p, -2*o - 32 = -6*o - p. Let y be h(o). Let t = 18 - y. Calculate the remainder when t is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 + -15431*(-63)\/(-13104)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4625712.\nAnswer: 2, 3, 7, 13, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 170 and 5440.\nAnswer: 5440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38981727 and 203571241.\nAnswer: 1832141169","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 6*j**2 + j + 3. Is v(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of 29\/7*s**2 - 136 + 3\/28*s**4 - 31\/21*s**3 - 16\/7*s. Factor l(b).\nAnswer: (b - 8)*(b - 2)*(3*b - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 12:03 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + 18 + 24 + -25?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77401 divided by 2.\nAnswer: 77401\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5463306301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 + (2 - 3 - 0 - 9).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 11, 32, 67, 116?\n\"Answer: 7*y**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1910*n + 3590*n - 1145*n + 273*n as z + g*n and give g.\nAnswer: 4628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 10:00 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 28629670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) 2\/5 (b) 0.5 (c) -0.09 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = g, -u = -7*g + 3*g - 132. Suppose -3*j + 165 = 2*f, f + u = 5*j - 136. What is the highest common divisor of 19 and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or 42781?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 2:26 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f**2 - 13*f**2 - 24*f + 0*f + 2*f - 5. Let s(g) = 26*g**2 + 33*g + 8. Let l(b) = -8*q(b) - 5*s(b). Find the second derivative of l(t) wrt t.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 13*y**2 + 14*y + 4. Is 54 a factor of t(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 2334*l = 2332*l - 4668*l - 206, -6 = -2*l for o.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2. Let z(a) = -6*a**2 + 10*a. Let t(b) = 3*m(b) + z(b). Let u(s) = 2*s**2. Give t(u(n)).\nAnswer: -12*n**4 + 20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4*u**3 + 10*u**2 - u - 6. Let b be d(2). Solve 3*q = -b*q + 5*p - 20, -5*p + 20 = -4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 3. Let o be -1*1*(-5 - k). Suppose 0 = -5*g + g - o. Sort 0, g, -4 in increasing order.\nAnswer: -4, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2012102202 + 21?\nAnswer: 2012110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2 + 7. Let f be p\/(-5) - 17987\/(-430). Let b = f - -3\/43. Calculate the common denominator of b and -81\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h - 5*h - 2*h**2 + 4*h + 3*h.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)\/(sqrt(2)*-1))\/(sqrt(5) + sqrt(5) + 4*sqrt(80)))**2.\nAnswer: 7\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -6*g. Suppose g*z = -3*z. Is 1799\/(-7)*(-1 + z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42943700.\nAnswer: 2, 5, 17, 25261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-17)\/f*f)\/f**(-15) assuming f is positive.\nAnswer: f**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-90)\/4*2\/12*-4. Let j be (2\/(-6)*-4)\/(2\/s). Let a be 0\/(5*j\/25). Solve a*o = 5*o - 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q + 3. Let a be t(-5). Suppose -3*w - a - 2 = 0. Calculate the remainder when 46 is divided by 18\/w*20\/(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*m - 20. Suppose -m*g + 8 = -g. Solve 3*x + 3 = -z - g*z, 0 = z - 4 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 83, -1, 33 in ascending order.\nAnswer: -1, 33, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2127, 4220, 6313?\n\"Answer: 2093*j + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 6:55 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/(-12)*(-2120)\/400 and -173\/84?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/((-1440)\/(-870)))\/((-2)\/(-12)).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 343 (base 5) in base 3?\nAnswer: 10122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1893211?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8 + 58\/7)\/(24\/14)*66. Solve 0 = -4*i - 9 - u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (922413\/(-6))\/(79\/(-158)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 329 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -25 + 24 + (1 - (-2 - -3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -165968 or -165936?\nAnswer: -165936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 5*a + 4. Suppose 3*b + d - 30 = 3*d, -69 = -5*b - 3*d. What is the remainder when m(6) is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.3821, 3, 17, -0.3, 5?\nAnswer: 0.3821","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 447*g - 445 + 1224 + 1009 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, g: 5, v: 4, r: 1, z: 3, m: 1}. What is prob of picking 2 v, 1 r, and 1 m?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 7 = 1, 5*g - 37 = -o. Let t = -5 + o. Suppose -4*h - 6 = -t. Solve 4*r + q - 3*q = 6, h*r + q = 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-12 - (-3 + 4)) + (-11 - (-8 - 5))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1464 + 1464.5048. Let r = p - 0.5. What is r rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 1 + 1)*(i - 5*i + 5*i) + 0*i**2 - 20*i**2 + 0*i**2.\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 204 + -2752?\nAnswer: -254c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g + 19. Let w be y(9). Let a be w\/(-7) + (-9)\/(-1). Solve 0 = -v + 2*n - a, 0 = v + n + n - 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36.1 - 35.8. What is the nearest to -1\/4 in d, -1\/5, -1\/7, 75?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 20 = 0, p + 0*p - 2*m - 14 = 0. Let n(d) = p*d + 0 + 0 - d**2 - 3*d + 3. Determine n(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pnlipnzl. Give prob of picking 2 l.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 8*l + 23. Suppose d = 2*a + 13, 3*d = 4*a + 14 + 11. Give t(a).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1638.1 + 1639.1127. Round q to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 67672 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 19*u**2 - 1368*u + 7. Let p be i(72). Calculate the highest common factor of 427 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of 2*t**2 - 5*t + 1\/3*t**3 + 0 - 1\/6*t**4. Let h(b) = -b**2 + 8*b - 4. Let z be h(7). Calculate s(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**2\/5 + 242*w\/5 - 708\/5 = 0?\nAnswer: 3, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, k: 1, j: 1, h: 1, i: 4, x: 9}. What is prob of picking 1 q and 1 j?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1\/4)*(l*l\/(l\/(l*(l*l**(5\/6)*l)\/l)))\/l)**(-4\/11))**22 assuming l is positive.\nAnswer: l**(-86\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1128.9 - -1129.3. Put 3\/5, v, 0.793 in descending order.\nAnswer: 0.793, 3\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 152252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of 2*q**3\/3 - 40*q**2 + 664*q - 2. Calculate k(21).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-152)\/16 + 8)*(-1)\/6. Let i be (14\/(-8))\/((-1)\/4). Which is the second smallest value? (a) w (b) i (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + d + 73, -z + 4*d - 176 = -6*z. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -391 divided by 5.\nAnswer: -391\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9584170*w**3 - 19318619.\nAnswer: -28752510*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1010 (base 2) to base 9\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63 + 23 - 107*o**2 + 19 + 19 to the form y*o + z + l*o**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4798 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by 144.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 158156, 316111, 474068, 632027?\n\"Answer: t**2 + 157952*t + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5233.6 rounded to the nearest ten?\nAnswer: 5230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -46 (c) -0.11 (d) 0.5 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s = 154 - 148 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 4. Let z = -2.2 - v. Let k = 102 - 508\/5. Do k and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 476.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13911738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1634147 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1328\/1245*(-9)\/12.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and 1872?\nAnswer: 3744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4 - 42\/(-4))*4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -2.6. Let g = -3.59 - h. Let x = -0.1900043 - g. What is x rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**2\/7 + 5909028*q\/7 - 2909717658732\/7 = 0. Calculate q.\nAnswer: 984838","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - (-8 - (-60)\/8)*1. What is the nearest to 3 in -5, a, 0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5328 and 228.\nAnswer: 101232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -184 - -258. Let c = 95 - t. Calculate the greatest common divisor of 119 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5*p**3 - 2*p**2 + 1. Let a(o) = -7*o**3 + 1 + 13*o**3 - 1 + 1 - 3*o**2. What is 3*a(k) - 4*s(k)?\nAnswer: -2*k**3 - k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 220072 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000549875565 to six dps.\nAnswer: 0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*d + 7572 - 7820 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 3*p + 1. Let y(m) = m**2 + 20*m + 24. Let z be y(-19). Calculate the remainder when 31 is divided by u(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/10)\/(1164\/485)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 33.920407 * -0.2\nAnswer: -6.7840814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 1:33 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2282)\/(-1666) + (-6)\/14. Let j(s) be the second derivative of 1\/102*s**4 + 0 + 8*s + 8\/51*s**3 + g*s**2. Factor j(u).\nAnswer: 2*(u + 4)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - z**2 - z + 8. Let h be g(0). Let o(y) = -4 + 9 - y + 3. Let p be o(h). Solve 0 = 4*f - p*f + x - 20, 3*f = 3*x + 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 444.7227 decades?\nAnswer: 44.47227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -505*u + 2527. Determine c(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 527660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*l = 23*l - 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 97*i + 19. What are the prime factors of f(3)?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 2698*q + 32401. Give t(12).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 729*q + 418*q - 329*q + 4312 = -260*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 6:54 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + 7 - (3 - -1). Suppose -237 = b*s + 9. Find the common denominator of 71\/4 and ((-12)\/90)\/(s\/(-33) - 1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, -0.3, 2, -0.647, 2\/11, 24?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t. Suppose 1 = 5*d - 9. Let k(m) be the first derivative of 0 + 7*m**2 + 7 + 4*m - d*m + 11. Give w(k(j)).\nAnswer: -28*j - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - -25 - (11 - (6 + -8)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 - 8043*j - 654444.\nAnswer: -3*(j + 84)*(j + 2597)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*f - 3. Let m(s) = 4 + f + 0 + s + 4*s + 3*s**2. Let w(g) = 4*g**2 + 7*g + 7. Give 7*m(z) - 5*w(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 t when four letters picked without replacement from {r: 3, t: 2, a: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - (0 - -8)) + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5)\/k*k*k**5*k)\/(((k\/(k**(5\/6)*k)*k)\/k)\/k)**21 assuming k is positive.\nAnswer: k**(79\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 b when two letters picked without replacement from {b: 1, h: 7}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 276\/14 + (-6)\/(-21).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30223 - 22?\nAnswer: 30201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*v - 158 - 94 = 0. Let a(j) = -31*j**3 - 13*j**2 - 13*j. Let f(z) = 5*z**3 + 2*z**2 + 2*z. What is v*a(m) - 39*f(m)?\nAnswer: -9*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1235909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -22b (base 14) to base 11\nAnswer: -362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 844*b - 50312 + 11300 = -186*b + 9398 for b.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 46*b**2 - 70*b - 196. List the prime factors of z(50).\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*4\/144*2.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 95 = -4*o, -3327*z - 23 = -3352*z + 2*o for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -7*o**3 + 4*o**2 - 3*o. Let y be l(1). Let u be ((-2)\/y)\/((-3)\/(-27)). Solve 5*a - u*f - 6 - 6 = 0, -4*a + 5*f + 7 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.79571 to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/6*-3*23\/(207\/36).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 414841585?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 504*z + 3970. Let b be x(-8). Solve -3*v - 34 = -8*v + 3*m, -v + b = m for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b**2 + 301288642 - 301288642 - 2161*b to k*b + c + f*b**2 and give k.\nAnswer: -2161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 229*d + 12504. Give i(127).\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16152770 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(588) - (-2*sqrt(588) - sqrt(588)))*-2 - (-3*(sqrt(588) - (1 + sqrt(588))) - sqrt(588))))**2*2.\nAnswer: 42336*sqrt(3) + 2075112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**3 - 3*r**2 + 5. Let k = -6 + 2. Let h be w(k). Let f = -44 + h. Does 20 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -5*l + 5*x - 8, 4*x - 8 = -2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of y**4\/2 - 4*y**3\/3 + 11*y**2\/2 - 4*y - 9. Let z(i) be the first derivative of o(i). Is z(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z + 28. Let g(y) = y + 5. Let r(t) = t + 3. Let j(o) = -3*g(o) + 5*r(o). Give j(m(u)).\nAnswer: 4*u + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5*h + 4. Let b(f) = 5*f + 5. Determine -3*b(v) + 4*c(v).\nAnswer: 5*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gaggaaxgaxaaeaa. What is prob of sequence xa?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3580.\nAnswer: 2, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -104324.8+0.18276\nAnswer: -104324.61724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.68 + 1. Let a = -0.07119 + 0.39164. Let z = a - y. What is z rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cmmmmcccccmm. Give prob of picking 1 m and 3 c.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/(d*d\/(d\/d**(1\/3))*d*d))\/d)\/d)\/d**9)**(-3\/14)*((d\/d**(-4)*d)\/d)\/d*d**6*d\/(d*d**(-4))*d*d**(-7) assuming d is positive.\nAnswer: d**(76\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 - 1 - 4)*(s - 3*s + s) - 2*s + 0*s + 0*s - 21*s + 41 - 41)*(-3*s - 2*s + 4*s) as l*s**2 + n + b*s and give l.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - (0 - 2)) + 4. Suppose 0 = -4*a - 3*n - 2 - 5, -5*a = d*n. Solve -2*v - 2 = -2*g, -v - a*g + 4 - 2 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -d - 3*d - 5*s, -3*d - s + 8 = 0. Let i = 17 - 14. Are d and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**3*k**2 + 7*f**3*k + 305*f**2*k**2 + 983*f**2*k + 8*f**2 - f*k - 6*k**2 wrt k.\nAnswer: 4*f**3 + 610*f**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6519)\/(-205) - 31) + 1*(-1)\/20.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 51\/2 of a week?\nAnswer: 4284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**2 + 1362 - 1362 to the form v*d + k + a*d**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 591108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*d + 0*d + d)*(-d + 1 - 1) + 2*d**2 + d**2 - 5*d**2)*(12*d + d**3 - 12*d).\nAnswer: -3*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**2 + 22*j - 8576. What is z(60)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 9*a**2 - a + 11. Let z be j(-9). Suppose 0 = -3*v - y - 4 + 8, -3*v - 5*y = -z. Suppose -5*h - 1 - 4 = v. Are h and -1\/6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 27\/4 of a gram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, s: 2, w: 2, x: 2}. What is prob of sequence vw?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13 or -42\/13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 19 = -4*r - 7*y, y = 5*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101452 - 57544 = -323*k + 120722. Put 3, -2, -3, k in increasing order.\nAnswer: -3, -2, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + i**2 + i + 1. Let h be p(0). Let n = -295 + 300. Suppose 5 = n*r - 5*m - 0, -r + 3 = -3*m. Solve g + 2 - h = r for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2647, 10581, 23803, 42313, 66111?\nAnswer: 95197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -21, -13*h - g + 161 = -9*h. What is the remainder when 1592 is divided by h?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 23.580099.\nAnswer: -70.740297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.24 * -5.\nAnswer: 26.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -9 - 27.43\nAnswer: -36.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 4. Suppose 88 = 4*y + 20. Calculate the remainder when -2*(-1 - 49)\/z is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79678.54ml to litres.\nAnswer: 79.67854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k + 2394 = -4639. Let q = k - -548. Suppose -2*m + m = 0. Solve -3*t + m*t = 2*r + 16, 0 = -3*r + 4*t - q for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 764928, 764977, 765102, 765339, 765724, 766293?\nAnswer: 767082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 3*o**2 + 4*o + 2. Suppose 0 = -4*v - 8, 0*v - 2*v + 6 = 2*z. Let k(j) = j**3 - 5*j**2 - 7*j - 3. Determine z*b(c) + 3*k(c).\nAnswer: -2*c**3 - c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3648529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4400 + 4400 + 379*k)*(-2 - 1 + 5)*(-3*k + 10*k - k) to l*k**2 + d*k + a and give l.\nAnswer: 4548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 36\/2213?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -l**6\/120 - l**5\/60 + l**4\/12 + l**3\/3 - 8*l**2. Let r be s(0). Factor 0*p**3 - 2*p**3 + 5*p**3 + 3*p**r.\nAnswer: 3*p**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 6, -3*h = x - 2*x - 12. What are the prime factors of 9*2 - 12\/x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 14*c**2 + 95*c + 1342. Let p be j(-14). Calculate the highest common divisor of 4548 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -507*q + 230*q = -4986 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 8*a + 4. Let y be t(2). Suppose 0 = -2*u - 5*g - 21, -5*g + 1 - y = 3*u. Suppose l - 4*m - 34 = 0, -u*m - 56 = -2*l + 3*m. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/4*2)\/1. What is the units digit of (x - 57)*-3*(-3)\/(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -22\/1357?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 79 or 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 471 = -69. Let h = -169 + a. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -215568 divided by 998\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -229, -124, 81, 398, 839, 1416?\n\"Answer: 2*j**3 + 38*j**2 - 23*j - 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 30381, 243155, 820687, 1945359, 3799553, 6565651, 10426035, 15563087?\n\"Answer: 30397*z**3 - 3*z**2 + 4*z - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 3*l**2 - 49*l - 22. What is a(0)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n**3 - 4*n**2 - n + 2. Let s be c(-2). Suppose 0 = 2*t + 2*p - 0*p - s, -60 = -5*t + 5*p. Let f(j) = 7*j + 2. Is 37 a factor of f(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (270\/(-40) + 8)*4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v + c - 4 = 2*v, 4*v = 3*c + 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmtmlkmiilmkklm. Give prob of sequence ti.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.7 - -1.4. What is the closest to 0 in -2\/5, -2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - -2)*(-1 - (-17)\/(-1)). Calculate the highest common divisor of 96 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 487530, 487327, 486982, 486489, 485842, 485035?\nAnswer: 484062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 1)\/(11\/11). Let i be c\/(-8) + 94\/16. Let u(o) = o**2 + 2*o + 2. Let w be u(-2). Sort w, i, 4 in ascending order.\nAnswer: w, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 7*g + 3*p + 13, g + 1 = -4*p. Solve -g*v = -5*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05085*16.7904\nAnswer: -0.85379184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/22 + -1 + (-74250)\/(-242) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -10*g - 40. Let p(s) = -3*s - 9. Let f(r) = r + 3. Let y(v) = 7*f(v) + 2*p(v). What is y(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-1 - (-3 - -6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6470, -6510, -6550, -6590, -6630, -6670?\nAnswer: -6710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 6)*((3*f - 6*f + f)*(3 - 1 + 0) - f - 5*f + 5*f).\nAnswer: 30*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 171772*l**4 + 7*l**2 - 2*l + 947 wrt l?\nAnswer: 4122528*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1576238*u**5 - 8655774*u**2.\nAnswer: 94574280*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12.64 + -164.94. Let n = 163 + d. Let t = n - 10.697. What is t rounded to four decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and -160236865993?\nAnswer: 160236865994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -22514, -22238, -21780, -21140?\n\"Answer: 91*z**2 + 3*z - 22608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1216)\/114*90\/4. Let f = g + 262. Suppose -n + k = -9, 7 = n - 3*k - 8. Calculate the smallest common multiple of f and n.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45218887.\nAnswer: 7, 6459841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 600 + -293. Suppose i - r + 274 = 0. What is the remainder when i is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111 (base 2) to base 7.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*o**3 - 88*o**3 - 21*o**3 + (4*o - 4*o + o)*(-2*o**2 + 4*o**2 - 4*o**2).\nAnswer: -100*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -726 (base 13) to base 14.\nAnswer: -62b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 7*u + 3. Calculate the lowest common multiple of 16 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4025 divided by 7?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m - 25. Suppose 24*n - 16*n = 96. Let u(c) = 4*c - 48. Let w be u(n). What is f(w)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 10:58 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 + 100 = -9*y. Let k be (1\/(y\/(-5)))\/(2\/10). What is the third smallest value in 3, k, -2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.68*-131.8.\nAnswer: 89.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k + 1. Let j be i(1). Suppose 4*d - 560 + 128 = j. Calculate the greatest common divisor of 12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24556115?\nAnswer: 5, 179, 27437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 377941?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2077*m**2 - 1464*m**2 - 583*m**2.\nAnswer: 30*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) -0.2 (c) 14 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1040.306 centuries to millennia.\nAnswer: 104.0306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from altlttl. Give prob of sequence tt.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22428\/3403 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by -133188\nAnswer: -5\/33297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 79793261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 285\/(-38)*(32\/18 - 2)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of h**4\/4 - 17*h**3\/3 + 15*h**2\/2 + 13*h - 135. Calculate l(16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2293962.\nAnswer: 2, 3, 11, 34757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -9*h**3 + 6*h**2 + 5. Suppose 0 = -5*g + 10. Let r(o) = 6 + 7*o**2 + 11*o**3 + g*o**3 - 23*o**3. Determine 6*r(f) - 7*u(f).\nAnswer: 3*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 2\/60489, -0.2?\nAnswer: 2\/60489","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138169399 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**3 - 6*o**2 - 5*o + 5. Let h(d) = -5*d**3 + 12*d**2 + 10*d - 11. Let f(z) = -3*h(z) - 7*u(z). Let n be f(-5). Is 55 + n\/((-4)\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*z**4 - 22*z**3 + 86456*z**2\/7 + 1467160*z\/7 + 6922656\/7 = 0. What is z?\nAnswer: -13, -86\/7, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-688)\/(-140) - 12\/(-42))\/(-2). What is the closest to -2\/11 in -2\/5, l, -3\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 261.95m in centimeters?\nAnswer: 26195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/40)\/((270\/(-72))\/15*1)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 882 and 11074?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -52? (a) -8 (b) 1 (c) -346 (d) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -44, -93, -144, -197, -252, -309, -368?\n\"Answer: -x**2 - 46*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -j**5\/360 - j**4\/12 + 32*j**2 + 2. Determine i so that v(i) = 0.\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -1101 (c) 4 (d) 131\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -0*q + 5*q. Let l be q\/((8 - 5) + -5). What are the prime factors of (10\/(-6) + l)\/((-12)\/1692)?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -140 - -113. Suppose -5*a - 4*q = -a + 8, -4*q + 6 = -3*a. What is the common denominator of 121\/18 and a + k\/12 - -1?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57*s**2 + 56*s**2 - 190*s + 410*s**3 - 493*s + 20*s**3 wrt s.\nAnswer: 2580*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**3 + 47*c**2 + 32*c - 191. Calculate s(24).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d - d - 3458 + 3458.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 6*n - 175. Let w be c(30). Find the second derivative of -58*j**w - 1 - 13*j - 28*j**2 + 28*j**2 + 195*j**5 + 37*j wrt j.\nAnswer: 2740*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 8*t**2 + 12*t + 59. Let v(r) = -r**3 + r**2 - r + 1. Let x(c) = n(c) - 2*v(c). List the prime factors of x(-4).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 95623962 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -905, -1778, -2581, -3278, -3833, -4210, -4373, -4286?\n\"Answer: 6*a**3 - a**2 - 912*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x**3 + 4*x**3 - x**3 + 2*x**3 - x + x - 4*x**3 + 3*x**3 + 4*x**3 + (-2*x**2 - 1 + 1)*(5*x + 0*x - 4*x) + x**3 + 0*x**2 + 0*x**2.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(1584)*-1 - sqrt(1584)) + sqrt(1584))*-2 + 2 - ((-1*(1*sqrt(99) + 5 + sqrt(11)*-2))**2 + -5).\nAnswer: -29 + 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 10*t + 13. Let g be a(-8). Is -3 + (-304)\/6*g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-15)\/(585\/286))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n - 1436*n**3 + 724*n**3 + 724*n**3 - 4*n.\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10 - 11) + (-2)\/2*5. Let g be (i - (-138)\/24) + (-34)\/(-8). Suppose -2*l + 8 = -0. Solve l + g = 2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/2)\/(6*-1)*15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 5 (b) 14 (c) -0.4 (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4757 = -849*s + 6280 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -412ba (base 13) in base 14?\nAnswer: -30884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 195, 194, 193, 192, 191?\n\"Answer: -p + 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -90440534787602 and -0.08.\nAnswer: -90440534787602.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h. Let o(l) = 10*l - 51. Let t(v) = -2*v - 9. Let a(n) = -o(n) + 6*t(n). Calculate a(r(g)).\nAnswer: 66*g - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 247 and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-900)\/(-7)*((-37)\/(-3) + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - -4 - (-1 + (2 - 3)). Solve 4*j + 5 = 5*d, -4*j + u*j + 3*d = -4 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -10*n + 1. Determine z(3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g + 2. Let t be k(0). What is the second derivative of -18*c**2 + c + 9*c**3 + 7*c**2 + 11*c**t wrt c?\nAnswer: 54*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 525, 2, -44, 23, 5, -2 in decreasing order.\nAnswer: 525, 23, 5, 2, -2, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -296908, -296909, -296910, -296911, -296912, -296913?\n\"Answer: -p - 296907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 28 (c) 1\/3 (d) -1\/3 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25.4 - 50.84. Round u to zero dps.\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 22*n**2 - 22*n + 152. Let o(s) = 9*s**2 - 9*s + 63. What is -5*d(h) + 12*o(h)?\nAnswer: -2*h**2 + 2*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 a factor of 39192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3140088 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 = 3*u + 28. Suppose 874 = 4*l + 78. Let c = u + l. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -0.54 (c) -70 (d) 5 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4844400 a multiple of 253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9\/5 (b) -2 (c) -7 (d) -48 (e) 0 (f) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of 4*q**3\/3 + 3*q**2\/2 - 4*q. Let y = 5 - 0. Is k(y) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-176 - -193) + -15 + 2 - (-18 + 1).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**3*v\/(v\/(v**2*v)) assuming v is positive.\nAnswer: v**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1\/3))\/u)**(-47)*u**(-2\/5)*u**(-3\/4) assuming u is positive.\nAnswer: u**(871\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a microgram in nanograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 12\/11, -13, 2 in decreasing order.\nAnswer: 2, 12\/11, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 30 = -20 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17602 - 0?\nAnswer: 17602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1568 + 8640 = 46*f + 6*f. Let l(n) = 4*n**2 - n - 5. What is the remainder when f is divided by l(3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -1\/616917 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 834707?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 - 28. Suppose f + 5*s = 2*f - 14, p*f + s = 122. Solve -3*h - 2*n = -15 - 2, -f = -5*h + n for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15594486 divided by 2?\nAnswer: -7797243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 9029*j**3\/3 - 3263*j**2 + 2952. Find the second derivative of h(t) wrt t.\nAnswer: 18058","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i**3\/4 + 485*i**2 - 387793*i\/4 + 380017 = 0. What is i?\nAnswer: -2123, 4, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -855789944, -855789942, -855789940, -855789938, -855789936?\nAnswer: -855789934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 + 3 = 6*o. Let d(q) = q - 8. Let n(r) = -r + 4. What is o*n(w) - 3*d(w)?\nAnswer: 2*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 112416?\nAnswer: -112424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7.782748 meters?\nAnswer: 7782.748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 406 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -60317056 less than 45?\nAnswer: 60317101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*o = 10, -46 = -4*p + 3*o. Solve m = 6*m + p for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of l**4\/2 + l**3\/3 + l**2\/2 - 12*l. Let v = 111 + -112. Let c be j(v). Solve -c*b = -5*h + 4*h + 25, 15 = -3*b + 4*h for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20764110 and 21?\nAnswer: 145348770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11196?\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 539166 is divided by 59907.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1585, -3168, -4751, -6334, -7917?\n\"Answer: -1583*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*y - 71, -4*q + 5*y + 266 = 26. What is the lowest common multiple of q and 1210?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296734050?\nAnswer: 2, 3, 5, 73, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -74, 5, 0, -4 in ascending order.\nAnswer: -74, -4, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16998 + -9054. Suppose 11*k - k = 3*k. Suppose k*p - 8*p = -f. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-228008)\/(-704) + 2\/16 and 18?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 + 0 + (-110)\/(-20)*-1. What is the biggest value in u, 0.6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1509861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**5 + 28488*s**4 - 56952*s**3 - 113952*s**2 + 227856*s = 0 for s.\nAnswer: -2, 0, 2, 9494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 378785*u**5 + 4*u**4 + 111*u**3 - 1770*u**2 + 15584*u + 7 wrt u.\nAnswer: 22727100*u**2 + 96*u + 666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1077*y - 1082*y = -25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/7*497\/(-284). Factor -15\/2*f - 75\/4 - u*f**2.\nAnswer: -3*(f + 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*h + 3 = 7, h = -5*g - 44. Let v = g + 13. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -599*o + 588*o - 149930000 = 0. Round o to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/40 of a meter?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3774224 to the nearest ten thousand.\nAnswer: -3770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d4 + 4?\nAnswer: d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 122*r + 590. Let y be h(-5). Solve 2*x + y*v = -1, -2*v = -13*x + 14*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 4\/267 + -578\/2937. Let n = 51 + -257\/5. Which is the second smallest value? (a) n (b) -0.5 (c) 3 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-2 + 6 - 0) + -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.114, -2, -3\/11 in decreasing order.\nAnswer: -0.114, -3\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 - -1.2. Let t = 14 + -13.2. Let s = t + -0.6. What is the nearest to c in s, 2\/9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206413 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - 12) + (-9 - (4 - 3)) + 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3956 - 31625\/8. Calculate the common denominator of t and -52\/53.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -1067501?\nAnswer: -1067487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 394016831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 696\/7397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 50 = -2*g - 4*p - 135, 0 = -24*p + 6*p - 9*p + 27 for g.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/190280 and 113\/2556?\nAnswer: 1712520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4473 is divided by 406?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ezblo. Give prob of picking 1 z, 1 o, and 1 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 315.4986 nanometers?\nAnswer: 0.0000003154986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/12*7\/(154\/8).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 3 - 2) + (2 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0678 take away -13469.18?\nAnswer: 13469.1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -646, -648, -652, -658, -666?\n\"Answer: -h**2 + h - 646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/2 + 7 + -2. Let y(p) = -80*p - 960. Let a be y(-12). Find i, given that 4\/7*i**2 - 2\/7*i**t + a - 2\/7*i = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6505 to the nearest one hundred.\nAnswer: 6500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - (8 - 8)) + -20 - 3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16364 - -16514. Which is the closest to t? (a) -0.2 (b) -7 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44\/7 + -139\/21. Put 0.4, 0, m in decreasing order.\nAnswer: 0.4, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21.23 + -19.23. Let u = -13 - -9. Let a be (3\/(-12))\/((-2)\/232). What is the third smallest value in d, a, u?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 0*v - 13 = 2*o, v = o - 4. Let r(g) be the second derivative of 1\/3*g**3 - 1\/4*g**4 + 0 - 1\/2*g**2 - 1\/20*g**5 - g. Give r(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58981024 and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2358)\/(-131) - (-29)\/(-2))*1\/8. Let l(d) be the second derivative of -1\/10*d**5 + k*d**4 - 3\/4*d**3 + 1\/120*d**6 - d + 8 + 0*d**2. Factor l(i).\nAnswer: i*(i - 3)**2*(i - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1828, -7405, -16732, -29809, -46636, -67213, -91540?\nAnswer: -119617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15343831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u + 50 = 20. Which is the smallest value? (a) u (b) 4 (c) -0.069 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + f + 47 = 7*s, 33 = 3*s + 821*f - 818*f for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -69605 from 930.072.\nAnswer: 70535.072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2. Let f = 19 + -6. Suppose 0 = -3*h + k + 13 - 2, 0 = -h + 5*k + f. Let l(m) = m**2. Determine h*l(g) + z(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r - 2*r - 3*r)*(-2*r - r + r) + (45 + 8 - 15)*(-4*r**2 + 4 - 4).\nAnswer: -154*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 2*t, -10*z + 6*z + 2*t - 20 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.05 + -5.25. Let n = -0.09 + -7.91. Let y = -4 - n. Which is the nearest to -0.6? (a) w (b) -2\/3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -1800003*m + 12. Let s = 5 - 11. Let y be 48\/(-18)*s\/4. Let o be q(y). What is o rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 4*v + 3. Let q be w(-5). Let f be q\/((-22)\/(-6)*3). Let z = -44.82 - -44.32. What is the nearest to 0.1 in -5, f, z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3339 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/204 and -119\/12.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 85037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 3. Let j be 1 + ((-2)\/(-2) - p). Suppose 9 = -h + 5*d - j, -d - 40 = -4*h. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) - (-4 + (sqrt(242)*3)**2)) + (-2*sqrt(242)*-2)**2.\nAnswer: 11*sqrt(2) + 1698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -996*0.21\nAnswer: -209.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (143\/55 - 3)\/((-6)\/(-75)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 48 = 3*n, 0 = 109*z + 16*n - 19*n - 48 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 e when three letters picked without replacement from {l: 2, r: 4, w: 1, e: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/9*1476\/410.\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1497655 to 3 decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - v - 5)*(3*v**2 + 0*v**2 - v**2 + (2*v**2 - v**2 - 2*v**2)*(3 - 2 - 2) + 3*v**2 - 2*v**2 + v**2).\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-550)\/(-385) - (-12345)\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-97)\/(-19) + (-6)\/57. Suppose -r*a - 520 = -4*p, a = -5*p + 617 + 4. Is 25 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 292*s - 5. Let y be h(2). Let i = y - 392. What is the highest common factor of i and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.58 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -873*k**2 + 588*k. Let z(h) = -2619*h**2 + 1768*h. Let w(f) = 7*i(f) - 2*z(f). Find the second derivative of w(v) wrt v.\nAnswer: -1746","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -24*r**3 - 3*r**2 + 7*r + 7. Let g(c) = -8*c**3 - c**2 + 2*c + 2. What is 7*g(w) - 2*q(w)?\nAnswer: -8*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 107009*b + 95981 wrt b?\nAnswer: 107009","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*l = -23, 3*l = 3*u + 10 + 17. Is 2 a factor of 4*(75\/10 + u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222868439 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 7*l - 4. Let f be o(-6). Let r(g) = 0*g + f*g - 3*g**2 - 4 + g**3 + 2*g. Let k be 7\/(-7)*(-1 - -8) - -10. What is r(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5218826 to the nearest integer?\nAnswer: 2284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -25215?\nAnswer: -25222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0739057 rounded to four decimal places?\nAnswer: 0.0739","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -665? (a) 3\/4 (b) -6 (c) -4\/7 (d) 0.2 (e) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 82 - -40. What are the prime factors of p?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/(sqrt(11) + sqrt(55)\/sqrt(180)))\/(sqrt(400)*-3*4).\nAnswer: -sqrt(5)\/140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -6318.4192 to the nearest 10.\nAnswer: -6320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*q**2 - 9*q**2 - 13*q**2 + 27*q**2.\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 105*v**5 - 144*v**2 wrt v.\nAnswer: 6300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*m = -3*j - 40*m - 4, m + 4 = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-6)\/(-4)*16\/(-960)*20\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**2 - 2*h**2 + 3*h**2 + (-3 + 1 + 1)*(3*h**2 + 2*h**2 - 3*h**2) - 6*h**2 + 3*h + 4*h**2 - h.\nAnswer: -5*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + s - 24. Is 8 a factor of (1 - (-26)\/(-8))*s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -209*o**2 - 4872*o + 4868*o + 56*o**2 + 2050*o**5 wrt o.\nAnswer: 123000*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*(5 + -4)*(6 + 0). Let l(f) = 5*f + 17. List the prime factors of l(u).\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2. Let u(d) = -11*d**2 - 228*d. Let t(c) = -12*c**2 - 223*c. Let g(p) = -5*t(p) + 6*u(p). What is g(h(z))?\nAnswer: -6*z**4 + 253*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 4:43 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -28 - -3263875?\nAnswer: 3263847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 444*w + 233*w + 414*w + 32730 = 0 for w.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o - 10 = 17. Let s(g) = -11111*g**2 + 2*g + 5. Let k be s(o). Round k to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 8*q**2 - 5*q - 9. Let g be u(7). Let s be (-1)\/(-1 + 24\/26). Suppose 0 = -g*h - 7 - s. What is the third biggest value in -3, -1\/4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1205018 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1317\/2 or -9.7?\nAnswer: 1317\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxuxxuxxhxxhxxh. Give prob of sequence huxu.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6547688897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*0\/(3 - -1). Let k(h) be the second derivative of 3*h + 1\/50*h**5 - 1\/15*h**3 + 1\/75*h**6 + 0 - 1\/30*h**4 + o*h**2. Solve k(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (20\/10)\/((-3)\/(26775\/(-6))) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/9, -0.5, -4, 10.9, 6, 4\/15?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*p**2*z**2 + 4081*p**2 + 3*p*z**2 - 322088*z**2 wrt p?\nAnswer: -4*p*z**2 + 8162*p + 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25617?\nAnswer: 3, 8539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - x**2 - 6*x - 14. Let w be z(7). Suppose w = m - 7. List the prime factors of m.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wc when two letters picked without replacement from {b: 2, e: 1, c: 2, d: 1, p: 2, w: 4}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -724956*b + 1449925*b - 724974*b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 83 - -1ba?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -41\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 56*(5\/((-100)\/(-35)))\/(40 - -5 - 46)?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**2 + 2*z**2 - 811 + 21*z + z**3.\nAnswer: z**3 + 21*z - 811","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 55\/4 (c) -55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*r. Suppose r*t = 2*t + 4. Let c = 5 + t. Let o(d) = -d**2 + 4*d - 2. Calculate o(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -4.8. Let n = l + -0.2. Let t = -106 + 101. Which is the closest to n? (a) 4 (b) -0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 11:34 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1042 and 41819628?\nAnswer: 41819628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v. Let k(x) be the first derivative of 6*x**2 + 6. Determine k(z(l)).\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2110022200 - -201220?\nAnswer: -2102120210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/14)\/(123\/(-164)))\/((-4)\/14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -53 + 45 + (1 - -3) + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 137.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.15 * -6224.89.\nAnswer: -933.7335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -46*f**3 - 2*f**2 - 7*f - 8. Let r be d(-2). Let b = 379 + r. What are the prime factors of b?\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 15*p + 44. Suppose -22*d + 19*d + 15 = 0. Suppose 49 + 16 = d*f. What is the tens digit of u(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, x: 4, v: 2, d: 10, g: 1}. Give prob of picking 1 v and 1 g.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -1\/6 (b) -78 (c) 2\/21 (d) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10300277531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -399, -1238, -3515, -7950, -15263, -26174, -41403?\nAnswer: -61670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 1 + 2)*(2 + 3 - 4) + 2 - 2 + 2)*(-30*x - 50 + 50).\nAnswer: -30*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from ggbgx?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10141?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*r**3 + 3\/4*r**2 + 0*r - 1.\nAnswer: -(r - 2)**2*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) - (sqrt(1617) - -1*sqrt(1617)))\/sqrt(3).\nAnswer: -13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*g**2 + 21*g - 371 wrt g.\nAnswer: 14*g + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -5*x + 3. Let u be c(0). Let v(a) = a**3 + 5*a**2 + 4*a + 4. Let d be v(-4). Solve 2*t + d = -2*t + 4*m, u = -3*t - 4*m for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 467 (base 14) to base 12.\nAnswer: 60b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.59 + 9558.59?\nAnswer: 9560.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -m**2 - 7*m + 1201. Calculate d(-14).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*p - 231 = 0. Let n = 4441 - 4518. Let a = p + n. Sort -5, a, -31 in increasing order.\nAnswer: -31, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*z - 0*z + 5*g, g = 2*z - 11. Let x be (-3)\/3 - z\/(-10). What is the third smallest value in -0.4, 2, -2, x?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m + 3*m + 5*m - 19*m - 25*m + 5*m + 5*m - 2*m - m + (-2*m + 3*m + m)*(4 + 1 - 3))*(1 + m - 1).\nAnswer: -30*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, n: 1, h: 2, i: 4, j: 1, k: 5}. What is prob of sequence mkk?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v. Let o(n) be the first derivative of -59*n**2\/2 - 157. Determine m(o(a)).\nAnswer: 59*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8.9, 4\/33, -8, -11?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9 (b) -1\/106 (c) -1 (d) 1 (e) 0.4 (f) 5 (g) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: a8aa9 (base 11) to base 8\nAnswer: 465263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -65 + 11. Solve -4*n = 5*a - n - m, a + 5*n - 15 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 13*l**2 + 3 + 0 - 3. Let z(a) = 2*a. Give n(z(s)).\nAnswer: 52*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of s**4\/12 - 8*s - 8. Let u(t) = 6*t**2 - 13*t + 1. What is 4*o(h) - u(h)?\nAnswer: -2*h**2 + 13*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5*g = -110 + 24, g - 190 = -4*r. Is 17 a factor of ((-32)\/r)\/((-4)\/402)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) 2 (c) 248\/7 (d) 2\/385\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**5\/7 - 10*v**3\/7 + 8*v\/7 = 0. Calculate v.\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -66*z**3 - 210.\nAnswer: -198*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11, 36, 79, 140, 219, 316?\n\"Answer: 9*x**2 - 2*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of 4\/27*k**3 + 1 - 158*k - 4\/3*k**2 + 1\/54*k**4. Factor g(x).\nAnswer: 2*(x - 2)*(x + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n*n**(-14))*n))**(3\/16)*(n*n\/n**(-10))**(18\/5) assuming n is positive.\nAnswer: n**(1623\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 2*z + 4. Let h be x(4). Which is the third biggest value? (a) h (b) -0.4 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v**2 + 2*v. Let p be q(2). Let o = p + 13. Suppose 3*s + 0 - 79 = -4*c, -o*c = s - 30. Calculate the highest common divisor of 225 and s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 256, 5, -4, 0.\nAnswer: -4, 0, 5, 10, 256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d + 3. Let z be a(5). Let j = 2 + z. Solve j*x - 4*x = 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 6*z**2 - 10*z + 3. Calculate the least common multiple of 2 and k(-7).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 28*x + 0 + 6 - 29*x. Give k(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 14, g: 4}. What is prob of picking 3 w and 1 g?\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 907 = 5*r - 4*q, 2*q + 374 = 2*r. Let g = r - 180. Solve -g*f - 6 = 3*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 9}. Give prob of picking 4 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 56128867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16784225 is divided by 1118948.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/6075 and -1\/3240.\nAnswer: 48600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a century in years?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 20 = s. Suppose 6*t - s*t + 8 = 0. Let y = t + 8. Solve -y - 8 = 3*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.023 + 4.977. What is the closest to 1 in -10, -0.2, r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*c - 32*c - 2700 = 0. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l + 5. Suppose -3*c - 9 = -0*c, -a = -2*c - 2. Let v(i) = -3*i + 14. Calculate a*v(w) + 11*h(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.2*-1492.\nAnswer: -10742.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*b - 34*b - 32*b)*(3 - 2*b**2 - 7 + 2).\nAnswer: 100*b**3 + 100*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/9 - 21\/(-9))*1. Let n = 226 + -223. Put l, n, 4, 5 in increasing order.\nAnswer: l, n, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79371420157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1227192 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rhf when three letters picked without replacement from xhhrrffrarrf.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1256248 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 652 is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4472 - 1a4?\nAnswer: 4279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 9 = -4*p. Suppose -p*j + j - 8 = 0. Let m be ((-4)\/(-8))\/(6\/(-4)*-1). Which is greater: m or j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 4*a**2 + 14*a + 9. Suppose -6*r - 54 = 3*r. What is l(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13*((-9)\/(-9))\/(-9)*3*1?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 57, 67, 63, 45, 13, -33?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + b = -3*v + 4, 9 = -2*v + 3*b. Let s(t) = t**3 - t**2 - 4*t. Let q be s(v). What is the tens digit of ((-9)\/(-2))\/(q\/36)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8f3da - -5?\nAnswer: -8f3d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2415 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 12*n**2 + 11. Let a(i) = -i**2 - 1. Let x(c) = -22*a(c) - 2*z(c). Let f(m) = m**2 - 34. Determine x(f(k)).\nAnswer: -2*k**4 + 136*k**2 - 2312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**8*f*f**(-38)*(f*f**30)\/f**(-4) assuming f is positive.\nAnswer: f**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*c = -19, -h + c = 3*h - 89. Let y be (4864\/(-570))\/((-4)\/10). Which is greater: h or y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 z when four letters picked without replacement from {d: 3, b: 6, l: 1, z: 4, e: 2, o: 2}.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 26.08 - -0.2\nAnswer: 26.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5 - 4.5. Let s be ((-5)\/(-2))\/5*(13 - 11). Let g be (5\/2)\/5 - s. What is the nearest to -2\/3 in d, g, 0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 509*q**3 + 91*q + 99*q - 185*q.\nAnswer: 509*q**3 + 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 s when two letters picked without replacement from {e: 4, s: 4, y: 8}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 8*p - 2. Let w be x(-4). Let d = -1339 + 574. Let l = 768 + d. Solve l*y - 15 + 2 = -s, 0 = -2*s + 2*y - w for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -216*y. Let g(d) = -776*d - 26. Calculate g(k(x)).\nAnswer: 167616*x - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -z - 52 + 50, -5*y + 4 = -2*z. What is the smallest value in 0, z, 1\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -50, -230, -732, -1718, -3350, -5790, -9200, -13742?\n\"Answer: -27*a**3 + a**2 + 6*a - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2724619 is divided by 592.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1350352 is divided by 72?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o + 536 = -304. Let d = o + -64. Which is the nearest to -2\/11? (a) 0.2 (b) -2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**2 - 22*w - 18. Let h be f(-10). Suppose 5*g - 9 - 16 = -2*s, -2*s - h*g + 28 = 0. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 32 - 4240125?\nAnswer: -4240063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -178 - -200.2. Let k = 31.4 + b. Let r = 53 - k. Do -0.3 and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88 and 19976.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/12 - (-8)\/3. Suppose i*b - a = 19 - 5, -10 = -2*b + a. Sort 2, b, 3.\nAnswer: 2, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1778488019?\nAnswer: 7, 11, 23097247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 + 68*s - 372. Calculate v(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) -1703 (c) 53 (d) 2\/11 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -10*f**2 - 9*f - 21. Let h(y) = -18*y**2 - 19*y - 39. What is -6*h(w) + 11*v(w)?\nAnswer: -2*w**2 + 15*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 10:48 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (4 + -6 + 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 n when two letters picked without replacement from {g: 2, y: 7, c: 2, n: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, -191776, -3\/5, 1\/4 in increasing order.\nAnswer: -191776, -3\/5, 1\/4, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 11 (b) 0.13 (c) -2\/3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*q = 0. Let v be (-8 + 8 - (-4)\/(-1)) + 6. Suppose -v*w + 114 = -q*w. Is 20 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 91 - 89. Solve 2*d + 2*t = -d + 4, -g*t - 20 = -3*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/(u*u**(-1)*u*u*u)*u*u*u**(-3)\/u)**13\/((u\/(u\/u**(2\/9)*u)*u*u\/u**6*u)\/((u\/u**(-1))\/u)**6) assuming u is positive.\nAnswer: u**(-146\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(1 - 114\/112). Suppose 0 = -70*k + 75*k + 3*l - 192, -3*k = -l - 104. Let p = m - k. Solve 0 = 2*x + 2*c + 4, 5*x + p = -c + 6*c for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 154242.09 - 153171. Let t = -1066 + m. Let q = t + 0.51. Which is greater: 0.1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*c + 14*c**4 - 14*c**4 + 11*c**5 wrt c?\nAnswer: 220*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.84902272 to three dps.\nAnswer: -0.849","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 613734*k*n**2 + 2*k*n - 12895*k + n**4 - 2*n + 1 wrt n.\nAnswer: 1227468*k + 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268080.\nAnswer: 2, 3, 5, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 12 - 2. Let o be v\/7 - -1 - (-12)\/7. What is the derivative of 0*b**2 - 6*b**2 - 3 - 2*b**o + b**2 wrt b?\nAnswer: -14*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a + 5*l - 41, 5*a + 0 = -5*l + 5 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/11231 and 51\/19591.\nAnswer: 20002411","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 83589?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*d + 149*v - 148*v, 4*d - 5*v = 34. Let b(h) = 40*h**3 - 14*h**2 + 14*h + 14. Let j(o) = -8*o**3 + 3*o**2 - 3*o - 3. Give d*b(w) + 28*j(w).\nAnswer: 16*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 - -28.7. Let p = 0.3 + g. Let s = -0.26 + 0.16. Which is the closest to p? (a) -0.4 (b) 1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -3 + 319*f - 1\/2*f**2. Is i(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-5)\/4*(-11856)\/(-49400)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k - 1. Let c(w) = w - 2. Let m = 1 + -1. Let r(s) = s + 4. Let l be r(m). Let x be c(l). Determine f(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = 4*t + 29. Let n = t + 70. Let j be 15*5\/(125\/n). What is the highest common factor of 6 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -p**4\/4 - 8*p**3\/3 - 5*p**2\/2 + 14*p + 56. Factor a(n).\nAnswer: -(n - 1)*(n + 2)*(n + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-1)\/(-3)*6\/(-48)*4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.39 in -1\/6, -23, -13, 0?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 210 + 26 = 0. What is the remainder when m is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/8 + 1\/(-4). Suppose s = -q - 9 + 3. What are the prime factors of (-52)\/(-5) + q\/15?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) -2\/7 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 6*b**2 - 3 + b**3 + 2*b + 0*b + 8 + 0*b**3. Calculate o(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5*x = 2*x + 72, 48 = -4*j - 3*x. Let k be (-54)\/10 - (-9)\/j. What are the prime factors of (k\/(-7))\/((-11)\/(-154))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 9 = -3*h. Let d(m) = -m**3 + 5*m**2 + 16*m - 8. Suppose -2*l + 52 - 13 = 5*j, 2*j - l = 12. Let g be d(j). Which is smaller: g or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1 - 3)*81\/(-6) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 97, -14, -125, -236, -347?\n\"Answer: -111*c + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-659)\/4)\/(7\/(-4)). Let o = r - 94. Which is the third smallest value? (a) o (b) -4 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 55*q + 3562. What is n(-65)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/9)\/q)\/q)\/(q**(-19)*q) assuming q is positive.\nAnswer: q**(142\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -6. What is the second derivative of -i + 3*i + 0*i + 4*i**j wrt i?\nAnswer: 80*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 46*o = -1564. Solve 14*d - o = 11*d + 5*h, 4*d - 32 = 4*h for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.54 + -6.8120612871\nAnswer: -7.3520612871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30 - 102420034?\nAnswer: -102420004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1642964 is divided by 547623?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 + 94 = 9*v. Which is smaller: 18 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + 1)*6\/(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 16. Let l = 8.2 + c. Sort -0.1, l, -5 in decreasing order.\nAnswer: l, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - 0. Let v = 3.9 + 0.1. Let j = 0 - v. What is the second smallest value in o, j, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114577.\nAnswer: 114577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -5\/38*h**4 + 2\/95*h**5 + 0*h + 9\/19*h**2 + 2\/19*h**3 - 20. Suppose d(n) = 0. What is n?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 1905.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.56303l to millilitres.\nAnswer: 59563.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*b - b. Let c(i) = -i**2 + 7*i + 5. Let q be c(b). Suppose -3*j + q = 2*j. Solve -j = -0*o - o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -315163, -630334, -945519, -1260718, -1575931, -1891158, -2206399?\n\"Answer: -7*x**2 - 315150*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 3:46 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 47184 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**3\/5 + 36*p**2 - 372*p\/5 = 0 for p.\nAnswer: -62, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1289740500 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(2754))\/sqrt(2).\nAnswer: -27*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -187\/133 or -9543?\nAnswer: -9543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36180 + 36234. Solve -2*l - 10 = f*a - 59*a, 2 = 3*a - 2*l for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 84889510?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6495 - -9938. What is the greatest common divisor of s and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(-3\/4))\/(j\/j**(-4\/9)*j))\/(j\/(j*j*j*j\/j**14*j)*j*j**(-13)))**(-6) assuming j is positive.\nAnswer: j**(-47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 43568051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**2 - 12*v - 5. Calculate f(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0026332672 rounded to 6 decimal places?\nAnswer: -0.002633","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 26*j + 227. Let m(v) = 6*v + 57. Calculate 2*f(h) - 9*m(h).\nAnswer: -2*h - 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, 20\/11, -1\/3160, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 n, and 2 k when four letters picked without replacement from sakskaakkasnykk?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of 23*y**7\/42 + 3*y**4\/4 - 9*y. What is the third derivative of t(h) wrt h?\nAnswer: 1380*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.67? (a) -1\/6 (b) 26 (c) 2 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -11*z - 34. Calculate the remainder when q(-11) is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 - (-102 + (132 - 27)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 7 + 3*j + 4*j - 7*j**2 + 1. What is the units digit of p(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -2.334, -32, 4?\nAnswer: -2.334","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12\/(-3))\/(-88)*1)\/((-520)\/(-4160)).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 + -17.3. Let h = 6.7 - n. Which is the closest to -2? (a) 2\/5 (b) 1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -s**8\/30240 + s**7\/1890 - s**6\/360 + 2*s**5\/5 - s**3\/6 + 69*s**2. Let q(l) be the third derivative of p(l). Solve q(z) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 783 and 0.1?\nAnswer: 78.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 48477.723 plus -8?\nAnswer: 48469.723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/12193 and 25\/7398.\nAnswer: 658422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 3.5. Let k = -0.5 - c. Is -0.1 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b + 549*f - 545*f + 5, 0 = 5*b - 6*f + 15*f + 80 for b.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -8. Let z be ((-6)\/4 + y)*-6. Factor -1\/2*c**4 + c**z - 1\/2*c**5 - 1\/2*c - 1\/2 + c**2.\nAnswer: -(c - 1)**2*(c + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3368, -4470, -5572?\nAnswer: -6674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of -u**6\/120 - 7*u**5\/60 - 7*u**4\/24 - u**3\/2 - 9*u**2. Let p be b(-6). Suppose -32 = -5*q + p. Solve 5*r - q*r - 6 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 82*s - 112*s + 540. What is the highest common factor of s and 858?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 77 (b) 3\/8 (c) -8\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*m + 128*m = -81 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*x**2 - 11*x**2 - 17*x**2 + 15*x**2 as h*x**2 + w + a*x and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 22033634.\nAnswer: 2\/11016817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 3*z - 5, 2*b = 6*b - 3*z + 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.728 + -1.728. Let l = -0.34 - 0.06. Which is the nearest to k? (a) l (b) 0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**2 + 4*s**2 - 15*s**3 - 6*s**3.\nAnswer: -21*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.2, -3, -364\/1735 in decreasing order.\nAnswer: 2, -0.2, -364\/1735, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h - 1. Let b = -8 - -13. List the prime factors of j(b).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 2*w**2 - 1922. Let j(x) = -686*x**2 - 1. What is m(j(k))?\nAnswer: -2744*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7, 0, -33, -104, -225, -408, -665, -1008?\n\"Answer: -2*g**3 - g**2 + 10*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 10229618.25 and 2?\nAnswer: 10229616.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.5 * 2.01.\nAnswer: -3.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a millimeter in micrometers?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1370)\/(-4)*(-2 - (-6)\/5). Let n = 282 + p. Calculate the greatest common divisor of 248 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-288)*40 - 54\/10?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(15\/7)*m)\/(m**(-6\/11)\/m))**(-9\/11) assuming m is positive.\nAnswer: m**(-3249\/847)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -53.7*-1659\nAnswer: 89088.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) 0.87 (c) -8073\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213*v = -196*v - 17. Is v equal to 1\/264?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -0.4, 1\/4, 2\/231?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276 is divided by 93.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1543?\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i - 1. Let x = 61 + 121. Let n = 184 - x. Calculate d(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4462, -8905, -13350, -17797, -22246?\n\"Answer: -u**2 - 4440*u - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + (-1)\/4)*0. Solve w = -2*z - 0*h + h + 12, 5*z + h - 23 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -15*i**2. Suppose -96*t + 12 = -91*t - 2*l, -l - 1 = 0. Let x(d) be the second derivative of 0 - 1\/6*d**3 + 0*d**t - 7*d. Determine x(j(z)).\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 397897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 272 + -238. Suppose -31*c = -w*c + 6. Let f = -4 - -2. Sort f, 3, c, 1 in increasing order.\nAnswer: f, 1, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 2 + sqrt(3))*4)**2.\nAnswer: 96*sqrt(3) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*i - y - 36, 0 = -4*i + 5*y + 36. Suppose -z - i + 5 = 0. Calculate the common denominator of 85\/6 and 34\/((-2)\/z - 237\/(-30)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6338989594\/(-1093536) - 2\/9. Let k = 222\/3797 - d. Let n = -5802 + k. Calculate the common denominator of 41\/8 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4951675 by 191.\nAnswer: -25925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, 17, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -22 + 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/32*12)\/((-3)\/(-4)). Let t be (1 - x)*2 - -7. Suppose 0*i = h - 4*i - 394, t*h = -2*i + 1904. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/11? (a) 9 (b) 26 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -580414, -580418, -580422?\nAnswer: -580426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 99*j - 7448. Calculate b(76).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-10984)\/(-28) - (-2)\/(-7)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -73 and 50664.5?\nAnswer: 50737.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31414 is divided by 136.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2600366 divided by -44074\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 582789 a multiple of 702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -452*y + 19599. Determine q(41).\nAnswer: 1067","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -s**7\/210 + s**6\/120 + s**3 - 3*s**2. Let o(h) be the first derivative of g(h). Find the third derivative of o(l) wrt l.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(162) + -5 + (sqrt(162) + -4)**2).\nAnswer: -865 + 315*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411841 is divided by 522.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 17, 41, 83, 149, 245?\nAnswer: 377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {h: 1, j: 1, l: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 8*o**2 - 12*o + 10. What is b(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 3*t - 7 = 0, -7*u + 12*u + 15 = 5*t for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = f + m, -18*m = -3*f - 15*m + 72. Suppose -c = f - 266. Calculate the remainder when c is divided by 63.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3763*c = -3774*c + 220 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 1, -197, 3395 in descending order.\nAnswer: 3395, 5, 1, -1, -197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*v = 2*l - 1060, 4*l - 884 = -5*v. Suppose l = -73*a + 82*a. Solve -3*k + 4*f = f - a, 2*k = -f + 1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cjc when three letters picked without replacement from {a: 3, y: 2, e: 4, m: 1, j: 2, c: 3}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/(-100)*5 + -1)*-1. Which is the nearest to -1? (a) o (b) 0.1 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 s when four letters picked without replacement from {l: 3, s: 4}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + (sqrt(300)*-3)**2).\nAnswer: -16194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4199 - 3954. What is the highest common factor of 5 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of n**7\/140 - n**5\/40 - n**2 + 74. Factor k(a).\nAnswer: 3*a**2*(a - 1)*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 15 - 3 + 5*o + 7*o - 11*o. Let p be n(-13). What is the tens digit of (3\/4)\/(p\/(-68))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51\/(-85))\/(2\/10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 0.13, -0.4, 2\/7, 2, 1\/4.\nAnswer: -0.4, 0.13, 1\/4, 2\/7, 3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2b6 - 14d7?\nAnswer: -17ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30.2 + -32. Let z = w - -3.8. What is the biggest value in 0.01, 1\/6, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = u + 5*m + 1, 4 = -2*m. Solve 5*g + 28 = y, -u*y + 5 = -g + 3*g for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -303 divided by 40511.\nAnswer: -303\/40511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 439 a factor of 9869129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4473)\/(-12) - 2\/(-8). Suppose -5*a - 5*f = -8*f - w, -3*a + 3*f = -219. Let y = -74 - -81. What is the highest common divisor of a and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**2 + 68*t = 0.\nAnswer: -68, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 t, and 1 b when three letters picked without replacement from ffctzbfzfzzbzzczzf?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 263856 divided by 956\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 532152 (base 9) to base 14\nAnswer: 834c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -3\/8, -1\/19, 0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -390.4 less than -4587694.7?\nAnswer: -4587304.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nw when two letters picked without replacement from {w: 7, n: 1, s: 6, i: 4}?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 168 and 5.\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, v: 8}. What is prob of picking 4 l?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**3 - 16*f**2 + 2*f - 16. Let k be i(8). Factor 1\/2*p**2 + k*p - p**3 + 1\/2*p**4 + 0.\nAnswer: p**2*(p - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -10*v + 8. Solve 4*h - m + 14 = v, -m - 4*m = -4*h - 6 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -2*v**3\/57 + 426*v**2\/19 - 90738*v\/19 + 525. Solve w(a) = 0 for a.\nAnswer: 213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 121?\nAnswer: 11c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-132)\/(-55)*15\/6. Suppose 44 = 5*d + u*d. What is the third derivative of 20*m**2 - 36*m + 69*m - 33*m + 13*m**d wrt m?\nAnswer: 312*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 553*c*h - c - 1700*h**3 + 2838024 wrt h?\nAnswer: 553*c - 5100*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -53419.5 to the nearest one thousand.\nAnswer: -53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 - 285*x**2 - 9005*x + 378885.\nAnswer: 5*(x - 67)*(x - 29)*(x + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.8 + -10.2. Let z = 2 - k. Let p = 14.999972 - z. What is p rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6\/33 + 370\/22 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, h: 3, q: 3, v: 2}. Give prob of sequence qgv.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20661, 20676, 20693, 20712, 20733, 20756, 20781?\nAnswer: 20808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 145887102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - -8 - (13 + -24) - (-8 - (-109 - -7))?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 8*o**2 - 52*o + 186. Calculate the remainder when f(12) is divided by 39.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -3\/10, 0.1, -134?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -72, -181, -344, -567, -856, -1217?\nAnswer: -1656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -4. Let m(v) = -v + 7. Let t be m(l). Let h = t + 2. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 40, 4, 6.074?\nAnswer: 6.074","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 10*l = -15*l - 12, 8 = -q - 3*l for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 5674*n + 4. Let s(p) = 15*p - 1. Give -4*s(u) - y(u).\nAnswer: -5734*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 990813?\nAnswer: 3, 330271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**2 - 2*k + 1. Let w(a) = -a**2. Let z(v) = -t(v) + 3*w(v). Find d such that z(d) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - w + 31 - 97, -44 = 3*c - 2*w. Let g = c - -22. Let p = 142 + -94. Calculate the greatest common divisor of g and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.126 and 5.\nAnswer: 4.874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ttboomdttwtmm?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3084 and 10452?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-14)*(32\/4)\/(-8).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of 5*q**9\/756 - 2*q**5\/15 - 11*q**3 - 4. Let v(h) be the third derivative of s(h). What is the second derivative of v(t) wrt t?\nAnswer: 400*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**5 - 4*d**5 + 3*d**5 + (0*d**5 + 5*d**5 - d**5)*(-1 - 1 + 1) - 6*d + 6*d - 6*d**5.\nAnswer: -9*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-1152)\/(-20))\/((-1)\/(-5)) and 8.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17769*p**3 + 8520*p**3 - 7260*p**3 + 26763*p**3 + 62740*p**3.\nAnswer: 108532*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13335945379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.1, 4, -42271\/4, -3 in ascending order.\nAnswer: -42271\/4, -3, -0.1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(192)*2 - sqrt(192)) + 0 + sqrt(108) + -2 + sqrt(108))**2.\nAnswer: -280*sqrt(3) + 1249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*c**4*v**2 - 5025741*c*v**3 + 511690*v**3 - v**2 + 16 wrt c?\nAnswer: -16*c**3*v**2 - 5025741*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (70\/(-21))\/((-2)\/3). Suppose u*r + 47 = 3*n + n, -5*r + 5 = 0. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.183 in -20, -4\/5, -1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14150366717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/12 - (-316)\/(-6). Let n = 83 + v. What are the prime factors of (1 + 0)\/(5\/n)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45.2 times -3.76406\nAnswer: -170.135512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/12)\/(2\/3). Let y be (r\/(-1))\/(3\/(-108)). Suppose -i + 6*i + 21 = -f, -4*i - y = -4*f. Solve g + 1 = f for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 19\/7, 5, 2\/7, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 5*d. Let p(j) be the first derivative of -37*j**4\/12 - 181*j + 42. Let l(t) be the first derivative of p(t). Give l(s(q)).\nAnswer: -925*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -93 + 212. Calculate the remainder when w is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.745 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 7*v - 2*v. Suppose -4*w - v = -14, -4*x + 3*w = -15. List the prime factors of (-6)\/(2 - 16\/x).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + (-4433)\/495)*5.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 488 (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -7*s**3 - 36*s**2 - 18*s + 2. Give m(-3).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 43. Suppose -8 = 7*g - 8*g. Let d = k + g. Which is greater: d or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77 and 30233?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -16*r**2 + 134074*r - 268150. Determine j(2).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18014.\nAnswer: 2, 9007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*h - 123, 3*h + 6 + 0 = 0. Let b = 182 + r. Does 10 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.8 + -6.7999913. Round d to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (47 - 2) + -57 - -2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29924 - -82458. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 5*h + 65, -78*c = -81*c - 3*h + 123. Solve 0 = c*j - 53*j - 36 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 277 + 68. Let a(z) = 130*z - d*z - 60*z. Let i(n) = -139*n**2. Calculate i(a(o)).\nAnswer: -139*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 4:03 AM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-4)*19\/(-247)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7\/2 of a microsecond?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 39152426, 78304851, 117457276, 156609701, 195762126?\n\"Answer: 39152425*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**4\/3 + 701680*f**3\/3 - 3508600*f**2 + 52630000*f\/3 - 87717500\/3 = 0. What is f?\nAnswer: -175435, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: 35 (base 10) to base 12\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 12. Sort p, 0, -3 in descending order.\nAnswer: 0, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1565 + 2?\nAnswer: -1563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -320*2\/5*7\/(-7). What is the remainder when 166 is divided by ((-3)\/4)\/((-8)\/v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, q: 1, t: 4, b: 7, d: 2}. Give prob of picking 1 t and 2 b.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 2*b + h = 36, 5*b - 4*h = -45. Sort 1, -3, b.\nAnswer: b, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 57, -1, 9, 0 in ascending order.\nAnswer: -22, -1, 0, 9, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 945357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -1\/90*z**5 + 0*z + 0*z**3 - 1 + 0*z**4 + 1\/504*z**8 - 1\/105*z**7 + 1\/60*z**6 - 19*z**2. Let n(k) = 0. What is k?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 times -0.45\nAnswer: -4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b + 3. Determine v(11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 n when two letters picked without replacement from {n: 13, l: 5}.\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -3*u + 2. What is the tens digit of (-3)\/(43\/u + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccrwoocovfcvfw. What is prob of picking 1 v, 1 c, and 1 r?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2263 + 2262.994. Let w = -3 - -3. Is n >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*n + 83*n = -5*v + 50, -4*v - n + 16 = 0. Suppose 0 + 0*t + 0*t**v + 3*t**4 - 3\/4*t**5 - 9\/4*t**3 = 0. Calculate t.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (54\/36)\/((-3)\/(-10)). Solve -2*d = 3*h - w, 5*d = -7*h + 3*h + 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, 86, 241, 456, 737, 1090?\nAnswer: 1521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*x**3 - 95*x**2 + 5*x - 7777.\nAnswer: -6*x**2 - 190*x + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 659419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**6\/40 + o**5\/12 + o**3\/2 + 9*o**2. Let i(n) = n**3 - n**2 - 1. Let b(q) = -c(q) - 4*i(q). Give b(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -1 + 8 + (0 - 2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232457 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 601 divide 20931027?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8912457?\nAnswer: 3, 41, 83, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1498, 5, 3042, 2 in decreasing order.\nAnswer: 3042, 5, 2, -3, -1498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41*s**5 + 992*s**2 - 2 wrt s.\nAnswer: 2460*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88 by 8775.\nAnswer: -88\/8775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5768 - -5764. Sort -4\/7, -24\/5, -5, 0.8, d in ascending order.\nAnswer: -5, -24\/5, d, -4\/7, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -26 + 341e42?\nAnswer: 341e1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**3 - 12*y**2 - 81*y + 402. Calculate x(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 s when three letters picked without replacement from {p: 7, s: 5}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6572?\nAnswer: 2, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -7 (b) -34 (c) -0.5 (d) 0 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 308 and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -a**7\/14 + 3*a**3\/2 - 3*a. Find the second derivative of j(z) wrt z.\nAnswer: -60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -1250*m**3 + 5193*m + 7459. Differentiate i(x) wrt x.\nAnswer: -7500*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 3\/80*b**6 + 1\/64*b**4 + 0*b**2 + 3\/80*b**5 - 6*b + 0 - 7\/3*b**3. Let j(h) be the second derivative of s(h). Factor j(q).\nAnswer: 3*(6*q + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 825 = -1089. Let d = s + -337. What are the prime factors of d?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**4\/23 + 38*y**3\/23 - 242*y**2\/23 + 618*y\/23 - 540\/23 = 0. What is y?\nAnswer: 2, 3, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -5*l + 5. Suppose 5*a - 2*g - 36 = 37, 22 = 2*a + g. Let v(m) = -20 + m + 6 + a. Determine -h(n) - 6*v(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1232940509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*n + 18 = 0, -4*r + 4 = 4*n - 8. Suppose -r*b = -0*b - 140. Solve -10 + b = -5*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 divided by -9?\nAnswer: -44\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-6))\/((-3)\/9). Calculate the remainder when -1*(2 + -23) + k is divided by -3 - ((-4 - -4) + -13).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8213, 32638, 73311, 130232, 203401, 292818, 398483?\n\"Answer: 8124*m**2 + 53*m + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1299 divide 717598776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in nineteen quarters of a tonne?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -g**3 - 2*g**2 + 3*g - 27. What is c(2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 36*f**2 - 98*f + 16. What is the tens digit of z(33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -5 (c) -377 (d) -1 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 15798*h - 1248059. Give s(79).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -i - 5*r + 15, 4*i + r = -19. Put -3, 4, i in descending order.\nAnswer: 4, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3829000 rounded to the nearest 100000?\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 11*r - 20. Is v(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-22)\/8 - -2)*8. What are the prime factors of 9\/i*56\/(-6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 7*r - 5. Let l be x(-6). Let u be (-76)\/(-66) - (l - 26\/22). Suppose -2\/3 - u*i**2 + 2*i = 0. What is i?\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**4 + o**4 - o**4 + (2*o - 2*o - 2*o**3)*(-2*o + 0 + 0) + (0*o + 2*o + 0*o)*(o**3 - 2*o**3 + 3*o**3) - 2*o**2 + 2*o**2 - o**4.\nAnswer: 6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16000 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 7:59 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -35 - 118*d + 2487*d**2 + 155 - 2489*d**2 = 0.\nAnswer: -60, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/(194\/(-291))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of i**6\/120 - i**4\/12 - i**3\/6 - 5*i**2. Let u be w(-1). Suppose u = -3*n - 0*n - 1680. What is n rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from cczkkzezzkzz?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 3*h**2 + 2*h. Let s be q(-4). Suppose g = -t - 1, 3*t - 4*g = -2*g - s. Let k(j) = j**2 + j. Determine k(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z - 53 - 7 = 0. Find d such that -1\/5*d**3 + 0*d + 2\/5*d**2 - 2\/5*d**4 + 0 + 1\/5*d**z = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -470, 2\/19, -1\/4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -608*v - 157. Let w(i) = 217*i + 52. What is -4*g(u) - 11*w(u)?\nAnswer: 45*u + 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 282590\/(-85946) + 3\/7 + 1. Let i = g + 2\/877. Which is smaller: i or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c**3 - 1549*c**2 + 2764*c + 2442. Give t(308).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 7*x + 4. Let r be w(-7). Let t = -274.9 + 275. Let d = -0.9 - 0.1. What is the nearest to d in 0.4, t, r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 29\/(-58)*0\/(-1). Which is greater: b or 6\/35?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 5*g**2 - 4*g**2 + 2*g**2)*(36 - 28 + 15) to the form m*g**2 + x + s*g and give m.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.068 - 0.368. Which is the closest to 5? (a) n (b) -7\/4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40091 and 326086.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -651*t - 23828 = -72758 - 43512 for t.\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*w = 0. Suppose n - 20 - 5 = 5*x, -n + 5 = 0. Let a = -6 - x. Sort w, 4, a in decreasing order.\nAnswer: 4, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22026 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21170 to the power of 1\/2, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5796 and 28773.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/9643077 and 18\/11521.\nAnswer: 9643077","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 12:24 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6)\/a**0)\/((((a**(-9)*a)\/a*a)\/a)\/a**(5\/7)) assuming a is positive.\nAnswer: a**(26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 7*n - 10 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 47 + -4*1\/(-2). Let g be ((-10)\/(-15))\/(6\/63 - 0). Calculate the highest common divisor of a and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -183*g**2 + 376*g wrt g.\nAnswer: -366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/sqrt(4)*3 - (0 + sqrt(272) - sqrt(272)))**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 152894009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 94*q - 2583. What is a(27)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 12*o - 51. Let v be u(6). Suppose 4*w = -v + 77. Solve 2*s + 2*k = w, 5*s - 37 = -4*k - 5 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 4\/7 (c) -3097 (d) 0.271 (e) -6\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3935, -3934, -3933, -3932, -3931?\nAnswer: -3930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -15, -5 in decreasing order.\nAnswer: 1, -1, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -61, 0, 4, -20, 15 in decreasing order.\nAnswer: 15, 4, 2, 0, -20, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29618 + 30050 = 18*m. Calculate the least common multiple of m and 928.\nAnswer: 2784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.0940328 decades?\nAnswer: 0.00940328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/10 and -35\/164?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zf when two letters picked without replacement from zzzzzzfzzfzzfffz.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7336 and 168.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*f + 1800 = -122*f. Calculate the greatest common divisor of f and 1725.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3*o - 3. Suppose -2*j - 4*d + 230 = 0, o*j + 4*d = 331 + 20. What is the greatest common divisor of 11 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**3 + 3*s**2 + 2*s - 3. Let t be d(3). Let j = -61367\/16 - -3830. What is the common denominator of ((-236)\/t)\/((-20)\/6) and j?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.2, -2\/195, -20814\/11 in decreasing order.\nAnswer: 1, 0.2, -2\/195, -20814\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 39589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w. Let o be n(-5). Let l(z) = z. Let u be l(2). Suppose -o*r + 5*f = -25 - 15, 0 = -5*r + u*f + 34. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17\/3 + 7\/6*j + 5\/6*j**2 = 0. Calculate j.\nAnswer: -17\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 656289647 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1008 less than -1040?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = 2*d + 25. Calculate the common denominator of d\/((1 - -17)\/2) and 83\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.5 + 8.55. Put -2, r, -1, -18 in descending order.\nAnswer: r, -1, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 4:38 PM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 6*t + 918. Calculate the remainder when t is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/7)\/l)**50\/(l**(-2)\/l*l**(-4)))\/(((l\/l**(-2\/7))\/(l*l*l\/(l*l**(-1))*l))\/(l**(-3)\/((l**3*l)\/l))) assuming l is positive.\nAnswer: l**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*c**2*m**2 + c*m**2 - 2*c - 178*m**2 wrt c.\nAnswer: 22*c*m**2 + m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (18\/8)\/(2\/8). Suppose -4*b - 3*k + 28 = 0, 3*b - 4*k + 14 = 60. Suppose a*g = b*g. Is g <= -10\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1575 = 90*s - 83*s. Calculate the least common multiple of s and 5.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5*(4 + 3*sqrt(363) + sqrt(363) + -4) + 5.\nAnswer: -220*sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 8*a**3 + a**2 + 8*a + 6. Let p(r) = 6*r**2 + 122*r + 345. Let m be p(-17). Let j(u) = 9*u**3 + u**2 + 7*u + 5. Calculate m*i(w) - 6*j(w).\nAnswer: -14*w**3 - w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) 8 (c) 2 (d) -5 (e) -1\/313\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*n - 96*n + 6448 = -n + 138*n for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -5, 5, 3\/4, 425, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 426037\/20 + -21308. What is the common denominator of r and (-2)\/(16\/(-18)) + -4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20484.76 days to microseconds.\nAnswer: 1769883264000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/5 - 2\/(-10). Suppose 2*y = -3 + 1, 4*x + y - 71 = b. What is the remainder when 51 is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11286158, 22572315, 33858472, 45144629, 56430786, 67716943?\nAnswer: 79003100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -4*q**6\/21 - 2*q**5\/5 - q**4\/7 + 2*q**3\/21 - 1. Determine v so that a(v) = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 8*t + 6. Let x be c(3). Suppose -4*p = p + x. Let o = p + 15. Calculate the remainder when 16 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + 0)\/(10\/90). Let l = n - 5. Suppose -3*y + 3 = -5*k, -l*y + 4 = -2*k + 4*k. What is the least common multiple of 5 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 444 + -309. Is 136 at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 14*z**2 + 53*z + 80. Let v(t) = -5*t**2 - 18*t - 27. Let y(d) = -11*v(d) - 4*x(d). Calculate the remainder when 18 is divided by y(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**5\/3 + 134*i**4 - 101914*i**3\/3 - 68342*i**2 - 102712*i\/3 = 0. What is i?\nAnswer: -347, -1, 0, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 7:12 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -280620983 or 1?\nAnswer: -280620983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s - s + 2*s**2 - 2*s to the form g*s**2 + b + m*s and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -11*x. Let y(n) = -67*n + 20. Let f(p) = -6*h(p) + y(p). Let b(g) = -19*g. Determine b(f(a)).\nAnswer: 19*a - 380","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2\/14)\/(8\/16)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 808357\/150 - 5389. Let x = j + 6347\/600. Calculate the common denominator of -71\/20 and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 55\/8 in 0.0801, -1\/7, -0.5?\nAnswer: 0.0801","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 136573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.3 (b) -2\/57 (c) -0.1 (d) -15 (e) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.38 + 0.34. Let z = 1.2 - j. What is z rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 44606*m**2*s**2 - 10*m**2*s*z - 1490*s**2*z - 113*z with respect to m.\nAnswer: 89212*m*s**2 - 20*m*s*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 648.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 16730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -15172516 divided by -1147\nAnswer: 13228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mpp when three letters picked without replacement from gqqmspsmupsq.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 40787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(-99 - -49)\/(-1900)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 2. Let t be 1\/((-3)\/(-12*x)). Suppose -7*n = -t*n - 69. List the prime factors of n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35167220 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(2\/(6\/3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l**2 - 281200*l + 843645 = 0. Calculate l.\nAnswer: -56243, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -350 (base 9) to base 5\nAnswer: -2123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29608 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 12 = -0. Let y be 1 + 6 - (0 + p). Solve 0 = y*m - 20, 0 = -3*v - 0*m - 3*m for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 73 + -120. Let c = 49 + d. Let -1\/2*i - 3\/4*i**c - 1\/4*i**3 + 0 = 0. What is i?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in sixty-four fifths of a meter?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 4*c - 4*c)*(-14 - 20 + 21)*(-5*c**3 + c**3 + 2*c**3) - c**5 + 4*c**5 - c**5.\nAnswer: -24*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*3\/(-27)*-3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**13\/(r*r\/(r\/r**1*r)))**(8\/13)*r**(-7)\/r*r*r**(-7)*(r**(-2))**(38\/5) assuming r is positive.\nAnswer: r**(-1418\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2879*b**3 + b + 1476*b**3 - 1 + 0*b - b + 1456*b**3.\nAnswer: 53*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65, -6\/7, 0.1, 6 in decreasing order.\nAnswer: 6, 0.1, -6\/7, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, z: 2, n: 7}. What is prob of sequence rr?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 11:35 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -209 - -42. Let s = d - -236. Is s a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 0.1. Let p = 100 + -100.5. What is the nearest to y in -2\/13, p, 0.5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 4*u - 15 = 0, -3*u + 15 = 3*q - q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2345?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 6.76084nm?\nAnswer: 0.00000000000676084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46\/283 + -7\/1698. Suppose 0 = -0*o - o - 1. Which is the closest to o? (a) 2\/9 (b) -2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 6) in base 11?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-210)*(8460\/24)\/(-235)\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14.65 and -104899?\nAnswer: -1536770.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/22*(2 + 0). Let u be (-4)\/(-18) + 32\/180. Let j = -4141 - -4143. What is the third biggest value in a, u, j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 6*p + 84. Let n be b(0). Suppose -4*y = 5*i - n, -96 = -6*i + i - y. Suppose i - 2 = 6*r. Solve -5*w = 7 + r for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**7\/x)\/(x*x**(-5)))\/(x*x**(-3)*x*x*x**4) assuming x is positive.\nAnswer: x**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 3.6. Let w be (6\/(-15))\/(8\/5). What is the biggest value in w, o, 0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-0.9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 9\/((-27)\/(-24)) + -5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 17*i**3 - 4*i**2 - 7*i + 7. Let s(o) = 9*o**3 - 2*o**2 - 4*o + 4. Let g(w) = -3*w**2 - 48*w + 7. Let z be g(-16). Calculate z*s(c) - 4*b(c).\nAnswer: -5*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p = -173*p + 20*p + 275130. Calculate the remainder when p is divided by 228.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -2, 0.20344, 75, -5\/6?\nAnswer: 0.20344","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 9 = 3*z, 0 = 4*f + 3*z - 4 - 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/20 of a tonne?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 52 = 3*s + 17, 0 = -3*t - 4*s + 21. Let k(y) = 2*y + 1. Let r(g) = -4*g - 1. Calculate t*k(f) + 4*r(f).\nAnswer: -2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 29*r + 2145. Let i be t(-34). Let c(s) be the first derivative of -1\/3*s**i + 5 - 2*s + 3\/2*s**2. Give c(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1077 (base 8) to base 10\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 5*z + 6. Let k be h(3). Suppose k = -0*u - 3*u + 195. Let d = u - 35. Calculate the smallest common multiple of 12 and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5209?\nAnswer: 5209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1213\/168 + 57\/8. What is the nearest to 0.1 in 0, p, -0.07, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of j**3\/6 - 4*j**2 - 1958*j. Suppose o + 1 = 2*o. Let a(q) = 1. Determine o*x(f) + 3*a(f).\nAnswer: f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/4 + -6 + (-31)\/(-4). Let o be (33\/(-12) + 2)*40\/(-6). Let z = 2 - -1. Solve 16 = 3*r - 0*v + k*v, -z*r = -o*v + 19 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1649254392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (30\/45)\/(2\/6). Suppose 425 = r*h - 619. List the prime factors of h.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-3*sqrt(931))**2 - -5*sqrt(1900))*-3 + -3 + -5.\nAnswer: -25143 - 150*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*q + 2*q + 9 - 14*q - 161 - 58*q wrt q.\nAnswer: -57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 4. Let v be g(0). Sort 4, v, 3.\nAnswer: v, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 60, 0, 0.3, -0.992?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*h + 99 - 329 = 5*p, -2*h = 2*p + h + 27 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -1\/500945427 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 1)*(-3*x + 0 + 0) + (1 - 3 + 3)*(-4*x + 2*x + 0*x)*(-6 - 11 + 1) in the form h + l*x and give l.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24 or -574.48?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**2\/3 - 95932*k\/3 - 2300737156\/3 = 0.\nAnswer: -47966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - 0*s - 3*s + 26, 4*o + 4*s + 8 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 62896808 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -9, -3*m = -4*m + 4*n - 14316. Is 2\/10 + m\/(-60) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46782, -32, 4, 1.\nAnswer: -46782, -32, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*k - 107*k + 419 - 8*k**2 - 127.\nAnswer: -8*k**2 + 292","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3743783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) 2\/27 (c) 0.5 (d) -1690\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -167 + 350. Let l = -86 + v. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86.32489559 rounded to 3 decimal places?\nAnswer: -86.325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 505*d = 508*d - 18 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 6:00 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1111 + 920 - 511)*(2 + 0 + 0)*(-7 + 2 + 3)*(-2*y**4 + y**4 + 4*y**4) to h*y**3 + z + u*y**2 + l*y**4 + x*y and give l.\nAnswer: -18240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 4*p + 1. Suppose 0 = -3*b - 3*y, 0 = -2*b + 2*y - y + 6. Let s(z) = -z**3 + z**2 - z. Let v be s(b). Does 6 divide a(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1206 + -5348?\nAnswer: -6555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -5, -4 in decreasing order.\nAnswer: 34, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 206.\nAnswer: 3\/206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 32?\nAnswer: 5\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 - -46. Let k(q) = -69*q + 13. Let m be k(-6). Suppose 2*d - l*o = 294, -2*d + 5*o = 142 - m. Is 30 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 3*b - 20. Let d be (2\/(-6))\/(b\/45). Let i be (2 + 1)*52\/39. Solve i*u - 5 = d for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 3*o + o - 40, b + 5 = 2*o. Suppose 2*k + 10 = 5*x - 3*k, -b*k + 10 = 0. Suppose -5*n + 3*n = -2, -j - x*n = -30. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 516608 is divided by 172197?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*j**2*o**3 + 122*j**2*o**2 - j**2*o - 457*j**2 + 79001*j*o**3 + 224*o**3 wrt j.\nAnswer: 8*o**3 + 244*o**2 - 2*o - 914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3650145?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*v - 456 + 694 = -1139 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -6169*l**5\/5 + 8*l**3 + 11*l**2\/2 - 5*l + 3385. What is the third derivative of a(d) wrt d?\nAnswer: -148056*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 - 490*i.\nAnswer: 5*i*(i - 98)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5 + (sqrt(4356)*1 + (sqrt(576) - sqrt(36) - sqrt(36))*5)\/(2*(sqrt(1200) + -1*sqrt(1200)) - sqrt(1200)).\nAnswer: -21*sqrt(3)\/10 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k - 5*k + j, 5*j = -4*k. Let h(a) = 39*a**2 + 12*a + 3. Let b be h(-2). Suppose -2*w - 3*w + b = k. Is w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12020 - -0.09915.\nAnswer: -12019.90085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 3*r + 87, 5*t - 143 = 3*r - 6*r. Let b = t + -23. Suppose -b*a + 15 = o - 8, 4*a - 21 = -o. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z**2 - 6*z - 4. Let j(q) = -4*q**2 - 7*q - 5. Suppose 3*h + 4*h = -7. Let f be h - (0 - (-1 + -3)). Give f*j(v) + 6*y(v).\nAnswer: 2*v**2 - v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 s when two letters picked without replacement from mmsgmmgsmsmclllmlml?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*x - 19. Let c = -11 + x. Solve -5 = -c*w + 5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3292.28 nanometers?\nAnswer: 0.000329228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 2*i + 2*i - 3*g, 2*i = -3*g + 16. Let y(w) = -w - 20 - 35 + 68. Let m be y(i). Which is the smallest value? (a) m (b) -1\/5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -60*b + 5. Let y be a(-4). Let t(g) = g**2 - 4*g + 3. Let q be t(8). What is the highest common divisor of y and q?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1944) - -2*sqrt(1944))\/(sqrt(12) - -1*sqrt(12)*5) - 1*-5*(sqrt(2) + 0)*-6.\nAnswer: -51*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180 divided by -90.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 - 36*r**2 + 72*r.\nAnswer: 4*r*(r - 6)*(r - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 12*c**2 - 7*c - 1. Let k be m(-12). Let a = k - 54. Suppose -a - 187 = -8*y. Calculate the greatest common factor of y and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 3. Let l(s) = -5*s + 9. Let v(m) = 2*m - 4. Let q(b) = 3*l(b) + 7*v(b). Let c = -7 + 8. What is c*q(k) - j(k)?\nAnswer: k**3 - k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, p: 4, c: 1, o: 4}. What is prob of sequence loc?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**4 + i**3 - i - 1. Let r(x) = -20*x**4 - 14*x**3 + 10*x**2 + 26*x + 22. Let d(h) = 44*k(h) + 2*r(h). Determine l so that d(l) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine thirds of a year in months?\nAnswer: 116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2759153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/6 and 43\/279.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 47 = 7*c - 10*c, 3*c - i + 5 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 6) to base 11\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11 + (2 - (-201)\/(-15)). Let x be 4\/7*(-2)\/4. Which is the third smallest value? (a) -0.2 (b) r (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 193*n**4 + 5 + 697*n**4 + 0*n**4 - 4*n**4 + 6*n**4 + (3*n - 3*n - 2*n)*(-n**3 + 3*n - 3*n) as d*n**2 + a*n + s*n**3 + w*n**4 + q and give w.\nAnswer: 508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 2*x, p + 4*x = -3*p. Let k = 8 + p. Suppose 8 - 32 = -k*d. Solve b = -d*b - 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 3*d + 3. Let h be s(3). Suppose 5*j - 8*j = -h. Solve j = 4*n - 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19153938 is divided by 4788482.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(-33)*12\/(-16)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -154 - -457\/3. What is the common denominator of l and 73\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19121773.\nAnswer: 11, 1738343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -834*z + 832*z + 2*p + 22 = 0, -5*p = -2*z + 43. Solve -12*w - z*c = -13*w + 16, -2*w + 2*c + 8 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3456) - sqrt(3456)*-1) + 2*sqrt(1176))\/(sqrt(288)*-2*-5 - sqrt(288)))**2.\nAnswer: 361\/243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4*sqrt(42)*-3)\/((-4*sqrt(30))\/sqrt(5) + sqrt(6))*-1.\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -3*u + 2*l + 5, 0 = 2*u + 2*l. Suppose -43 - 77 = -u*m. Suppose 0*y = 3*y - m. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -220*i + 877. Let y be c(4). Let u = -1 - -5. Let p(z) = -1 + 2 - 3 - u*z. Give p(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeteveesetjeeeeee. What is prob of sequence jee?\nAnswer: 11\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 13748 divided by -6874\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -1179.8, -2061?\nAnswer: -2061","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*2)\/(8\/8) - (-163 + 182)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 4038\/90 - (7 + (-107)\/15). Solve 25*m + i = -106 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jm when two letters picked without replacement from {j: 2, m: 11}?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 13*b + 145 = 0. Calculate the remainder when 84 is divided by b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 222 - 10030133022?\nAnswer: -10030132200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert b04a (base 13) to base 9.\nAnswer: 36211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 98670\/108537*(-528)\/(-10)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 643.7262 millimeters in kilometers?\nAnswer: 0.0006437262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-44)\/(-2))\/(600\/480). Let c = 92\/5 - g. Factor c*q**3 + 0 + 0*q + 0*q**2.\nAnswer: 4*q**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/4 + (-19)\/(-4). Let g be (-16 + 12)\/(3*(-12 + 228\/18)). Sort o, -5, 3, g.\nAnswer: -5, g, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2 - 320*n + 2724. Determine j(151).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -i**8\/840 - i**7\/175 + 3*i**6\/100 - i**5\/30 - 691*i**2. Factor y(d).\nAnswer: -2*d**2*(d - 1)**2*(d + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of m**5\/2 + m**4\/4 - 4*m**2 - 7124*m. Let q(v) = v**3 + v**2 - 1. What is -f(h) + 5*q(h)?\nAnswer: -5*h**3 + 2*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 2*g**2 + 24*g + 888. What are the prime factors of i(0)?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -1. Suppose -2*l = -t - s, -4*l = -2*t - l. Let n = t + -2. Let v(q) = -q**3 + 3*q**2 + 5*q - 4. Give v(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1211, 1116, 963, 722, 363, -144?\nAnswer: -829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -5.1.\nAnswer: 2.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 238 - 238. Suppose g*z - q = z + 21869, -z = 2*q + 21868. What is z rounded to the nearest 1000?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*j**3*y + 192846*j**3 - 4*j**2 + 172*j*y + 257*y wrt y?\nAnswer: 2*j**3 + 172*j + 257","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64 - (((-18 - -7) + 9 - (7 + -18)) + -7).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 7*u**2 + 7*u + 4. Let k be l(-6). Let t be (-8)\/(-6)*(-133251)\/k. Let v = t - 33834. What is v rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.93 + -0.47. Let r = 9.3 + h. What is the second biggest value in r, 2\/7, -1.8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-45) + 20\/(-60)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, v: 2, w: 7, e: 3, h: 5, m: 2}. What is prob of sequence vmlh?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 12. Suppose 0 = y - 4*y + l. Suppose y*t = -t. Sort 1, -1\/5, t in descending order.\nAnswer: 1, t, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.23 + 1.3. Let i = -0.43 - r. Sort 2\/15, 1, i in decreasing order.\nAnswer: 1, 2\/15, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9810.\nAnswer: 2, 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, w: 18}. What is prob of sequence ww?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 5*o**3 + 2*o**2 + 3*o + 4. What is d(-2)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 595?\nAnswer: -1\/595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n**2 + 670. Let l(v) = -4*v. Determine k(l(g)).\nAnswer: -48*g**2 + 670","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-14))\/(1\/(-7)). Let g be (i\/4)\/(2\/12). Suppose -l + 5 = -2*v, -11 = v - 5*l + 14. Solve v = u - g, -4*q - q + u - 28 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w*w**(2\/5)\/w)**(1\/11)*w**(-1\/6)\/((w\/(((w*w**(-2))\/w)\/w*w))\/w*w*w) assuming w is positive.\nAnswer: w**(-1303\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 285 + 74. Let w = -497 - -1020. Let l = w - o. What are the prime factors of l?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3691 and 0.5?\nAnswer: -1845.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 32791 = -5*t + 208853, 3*t + 87998 = 2*n. What is the hundreds digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/4 - 429*g\/4 + 108.\nAnswer: -3*(g - 1)*(g + 144)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -3. Let x be (0 + 3)*16\/24. Suppose -1 + 5 = x*o. Is o >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 - (4 + (1 - -3)). Let s be -4*9\/i - -3017. What is s rounded to the nearest 100?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0, -0.06, -1\/11, 3 in increasing order.\nAnswer: -0.4, -1\/11, -0.06, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 25, 48, 75, 106, 141, 180?\n\"Answer: 2*g**2 + 17*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 6*g = 5*g - 11, 0 = 4*t - 5*g + 9. Suppose -2*i - 3*i = 0. Which is the nearest to i? (a) t (b) 5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -246a - 12?\nAnswer: -2480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -67?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -216000 divided by 32\nAnswer: -6750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 4*v + 6. Suppose 1 + 17 = v*r. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t**4 - 10 + 10)*(9 + 1 + 1)*(1 + 0 + 9)*(3 - 7 - 12)*(0 - 3 + 0).\nAnswer: 31680*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 5:51 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, c: 4, r: 4, t: 2, o: 2, v: 3}. Give prob of sequence jj.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1471509, 1471568, 1471615, 1471644, 1471649, 1471624, 1471563?\nAnswer: 1471460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -5. Let g be (-2 + (-21)\/(-9))\/m. Let b = -16.837 + 16.037. What is the second smallest value in -5, g, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000032472975972 to 7 dps.\nAnswer: -0.0000325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.938 - -0.062. Sort u, -0.3, 39 in decreasing order.\nAnswer: 39, u, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 83346 - 166693\/2. Let x = 0.2 - 0.3. Let d = 0.4 - x. What is the nearest to u in d, 2, -5\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -14*s + 5*s + 2 - 5*s. Let t be j(2). Let a = -17 - t. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(1539) + (sqrt(1539) + 0)*2 + -4 + 4)**2 - (1*(((-1*sqrt(931) - sqrt(931) - sqrt(931) - sqrt(931))*2 - sqrt(931) - sqrt(931)) + 1))**2).\nAnswer: -79248 + 140*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 + 5 + 37 - 36117*g**2.\nAnswer: -36117*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-5 - (-6 + -3) - 7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -135*p**6 - 529*p**3 - 2*p**2 - 2*p - 412 wrt p?\nAnswer: -16200*p**3 - 3174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.03, -5, -0.11, -4975?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -166ce (base 16) to base 12\nAnswer: -451a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/10322289 and -48\/7263833?\nAnswer: 196123491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-30)\/4*(-12)\/15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 79*1 + -14 + 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyygyyyyyygyyy. What is prob of picking 2 y and 1 g?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 754306417.\nAnswer: 89, 571, 14843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 52\/650 + 296\/50. Let q(m) = -12*m + 9. Give q(h).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 143 - 4c?\nAnswer: c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1545 + 37?\nAnswer: 1583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1202 - 746. Suppose 0 = 12*x + 26*x - c. Solve -d - x = -3*l, d + 12 = 2*l + 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*v - 9. Let u = -18 - -34. What is the highest common factor of u and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.79 - -0.15. Let g = p + 0.06. Sort g, 2\/3, 0.4 in increasing order.\nAnswer: 0.4, 2\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -55*y**3 - 13*y**2 + 13*y**2 + 18*y**3 + 2*y in the form j*y + i*y**2 + b*y**3 + q and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 14. Let s(l) = l**3 - 10*l**2 - 11*l + 12. What are the prime factors of s(k)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a meter in millimeters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51)\/493*(-12)\/(-18).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1234 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1292 and 384.\nAnswer: 124032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5)*-5*1 + 4 + sqrt(405) + sqrt(5))**2 - (3*(1 + sqrt(125) + sqrt(5) + sqrt(5) + sqrt(405) + -1))**2) + 0.\nAnswer: -11379 + 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/((t\/(t\/(t*t**(-2)*t)*t))\/t)*t*t))**50\/(t**(1\/6))**(-14\/9) assuming t is positive.\nAnswer: t**(-5393\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/7, 0.23, -18, 0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/41)*k)\/k)**(1\/3) assuming k is positive.\nAnswer: k**(-2\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**2\/4 + 5366274*o - 21465095\/4 = 0. Calculate o.\nAnswer: 1, 21465095","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide -9 - ((-108)\/(-15))\/((-2)\/1285)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -4*v + 2*k + 4, 3*k = v + 1. Calculate the remainder when 5 is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b + 1. Suppose 0*j = 3*j + 33. Let a be -2 - ((j - -12) + (-8 - 0)). What is h(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*m - 2*d = -13, -2*d + 84 = 2*m + 98 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 2) + -20 + -2 + 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.4 + -2.2. Let h = p + -1.2. Let k be ((-8)\/(-6))\/(2\/3). What is the biggest value in h, k, 2\/15?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1126457335 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -38825903\/60 bigger than -647097?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 62 + 148. Suppose -18*x = 17*x - 4*x - 62. Find the first derivative of 34*r**2 + 7 - 14*r**4 - i*r**x + 36*r**2 wrt r.\nAnswer: -56*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-96)\/(-3))\/(0 - -1). Suppose 14*q - 615 = 113. Let m = q + -20. What is the highest common factor of c and m?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2*n - 162 = 0, n = 2*k + 2*n - 72. Suppose -37*x = -k*x. Solve 2 = -v - x for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -7 + (7 - 7) + 37. What is the second derivative of 0*i**5 - 4*i**4 - w*i + 2*i**5 - 8*i**4 + 2 - 5*i**5 wrt i?\nAnswer: -60*i**3 - 144*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and 744377313772.\nAnswer: 744377313769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 3\/5, 0.074 in decreasing order.\nAnswer: 4\/5, 3\/5, 0.074","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -691, -779, -889, -1027, -1199, -1411, -1669?\nAnswer: -1979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 4*d - k, -3*k - 6 = -d + 2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1317559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 825*y + 192*y - 39390 = 411*y for y.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.31236 kilometers to centimeters.\nAnswer: 1031236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k - 19. Give q(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 5*u**3 + 4*u**2 + 4*u. Let a(d) be the first derivative of -15*d**4\/2 - 25*d**3\/3 - 25*d**2\/2 + 94. What is 4*a(i) + 25*b(i)?\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 j when four letters picked without replacement from wqwjjwwjwjwwwwwwb?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 6*j**2 - 7*j + 2. Let w be t(-7). Suppose -2*m = 4*b - 9*b - 83, -4*m - w*b + 154 = 0. What is the tens digit of 2724\/m + (-4)\/(-26)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -511071712.6 rounded to the nearest one million?\nAnswer: -511000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**4 - 202*o**3 - 2256*o**2 + 71416*o + 73472 = 0 for o.\nAnswer: -82, -32, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -478 greater than or equal to -479?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 102*o**2 + 12*o + 39. What is the hundreds digit of a(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (562\/12)\/((-14)\/(-28)). Let t = w + -1645\/18. Calculate the common denominator of 56\/3 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.9 - 1. Let f = -0.18 - -0.28. Sort f, 0.4, g in descending order.\nAnswer: 0.4, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 92, 0, -0.5.\nAnswer: -0.5, 0, 0.4, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -226488*v**2 - 1 + 226484*v**2 + 2 - 1.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 13\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 2*c - 2. Let f(g) = -4*g**2 + 44*g + 58. Let n(a) = -f(a) + 7*k(a). Factor n(x).\nAnswer: -3*(x + 4)*(x + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.02 to 1 decimal place.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 + -a5?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + (sqrt(76)*1)**2 + -5.\nAnswer: sqrt(19) + 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -450 + 1787. Suppose -u + 0*u = -f. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 26*j**2 - 26*j - 21. Let q(x) = -x**3 - 7*x**2 - 14*x - 24. Let m be q(-6). What is the units digit of k(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (32 - 51 - (0 + -9)) + 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (0 + sqrt(19))) + 0 + (sqrt(19) - (3*sqrt(2736) - sqrt(2736))).\nAnswer: -23*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -15000 divided by -2\nAnswer: 7500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1020 divided by 20272.\nAnswer: 255\/5068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2150403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*l**3 + 6*l**3 - 9*l**4 + (3 - 3 - 2)*(0 + 1 + 2)*(0*l**4 - 7*l**4 - 6*l**4).\nAnswer: 69*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62594 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -o**5\/20 + o**4\/4 + o**3 - 3*o**2 - 2*o. What is d(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**3 + 44682*a**2*t**2 + 36*a**2*t + 2*a*t**2 - 5389358*a wrt a.\nAnswer: 6*a + 89364*t**2 + 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 107098?\nAnswer: -5\/107098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**3 - 3*q**3 - 2*q**3)*(5*q - 4*q + q)*(0 + 3 + 0).\nAnswer: -30*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 54709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 201401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8714605 to the nearest integer?\nAnswer: 2952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, t: 3, a: 2, o: 3, e: 4, b: 2}. Give prob of picking 1 b and 3 w.\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*i + 11460 = -3*i + 11988 for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/30)\/(10\/(-30)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8250.96 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y + 3. Suppose 0 = 3*h + d - 17, -h + 2*h - 5*d = -21. Suppose h*k + 4 = 16. Suppose k*g - g = 0. Give j(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5 = -13. Suppose l*s - 44 = -5*c, 0 = s - 5*s + 4*c + 8. Solve -4*n + 2 = -s for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of 23*k**7\/42 + k**6\/10 + k**3\/3 + 9*k**2\/2 + k + 39. Find the second derivative of h(g) wrt g.\nAnswer: 460*g**3 + 36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6846968.\nAnswer: 2, 191, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 696 and 261.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 18, -2, 0 in decreasing order.\nAnswer: 18, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 78, 170, 296, 456, 650?\nAnswer: 878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36467?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110100 (base 2) in base 8?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/609 and -19\/6.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6451753636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -304 + 296. Let h be o\/((-18)\/9)*(-11)\/2. Let z = -3 - -1. Which is the closest to 0? (a) z (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18474657631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 147433423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11123540.\nAnswer: 2, 5, 556177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -58.31 - -58. Let o = 0.01 + v. Let m = -390.2 + 390. What is the closest to 1 in m, 1\/3, o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4284\/(-102))\/(12\/3).\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of q**6\/3 + 5*q**5 - 142*q**3\/3 - 51. Find the third derivative of k(h) wrt h.\nAnswer: 120*h**2 + 600*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p. Let o(d) = -20*d**2 - 25*d. Calculate o(f(t)).\nAnswer: -80*t**2 + 50*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*z - 31 = 246, 3*h - 5*z = 209. Let i be 4\/(12\/9) - -14. Calculate the highest common factor of i and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138, 630, 1456, 2616, 4110?\nAnswer: 5938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 106 = -93*z. Put -4, z, -266 in increasing order.\nAnswer: -266, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c - 7. Let i be z(5). Let j be (-7 - 2)\/(1 + i). What is the remainder when 12 is divided by j - (-1 + 6\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tm when two letters picked without replacement from mmmmtttmtt?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 240\/(-3)*17\/(-136)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -356173470 divided by 962631.\nAnswer: -370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -58867095 - -56630138179\/962. Let u = 2\/481 - d. Let z = 0.6 - 0.1. What is the third smallest value in 4, z, u, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22075, 22077, 22089, 22117, 22167?\nAnswer: 22245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 + l**2 + 4*l**2 + (2*l - 4*l + 0*l)*(-3*l + 3*l + 2*l))*(-2*l + 2*l - 8*l).\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 2*j - 12 = 0. Let k(h) = h**2 + 2*h - 1. Let t be k(j). Solve t = 5*i - 6 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 657*w**3 - 6*w**2 - 7*w + 1. Let o be c(-2). Let t = 427\/240 - -21\/80. Find the common denominator of t and 4\/(-22) + 4\/((-880)\/o).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*x + 39*x + 139*x in the form f + d*x and give d.\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*b + 31 - 31)*(8*b - 4*b - 24*b)*(2*b + 3*b - 7*b) to the form p*b + c + n*b**3 + l*b**2 and give n.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t*t\/(t\/t**(-1)))))\/t)**(1\/32)*t**(-1\/13)\/t*t\/t**(-1\/3) assuming t is positive.\nAnswer: t**(281\/1248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 25 = -6*k + 5*y, 2*k = -4*y - 4. Let x be (22\/(-1))\/(k\/22). Suppose 3*w = -j + 46, -3*j - 4*w + x + 7 = 0. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4*p - 6. Let o(m) = -19*m - 25. Let v(a) = 3*a + 4. Let u(f) = 6*o(f) + 39*v(f). Suppose 64 = -17*y + 30. What is y*c(s) - 3*u(s)?\nAnswer: -s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 0*s - s = -153, -4*g + 4*s = -148. Let z = -35 + g. Solve 2*f + 9 = 7*f - 4*d, 4*f - z*d - 8 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*f**3 - 339417*f**2 - 76*f**5 + 343254*f**2 - 22*f**5 - 15*f**3 + 19*f**5 + 2*f**4 wrt f.\nAnswer: -4740*f**2 + 48*f - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/22 and -49\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jiji when four letters picked without replacement from {i: 1, t: 11, j: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) - -3*(sqrt(108) + (1*sqrt(108) - sqrt(108))))\/sqrt(9))**2 + -4.\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5594235, -5594238, -5594241, -5594244, -5594247, -5594250?\nAnswer: -5594253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -6. Suppose 0 = -x - h*x + 80. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3175.074 minutes to days.\nAnswer: 2.2049125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -25*l - 6. What is x(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 246000 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 3*k - 7. Let t(w) = w**2 + w - 3. Let l(x) = -2*a(x) + 5*t(x). Calculate l(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11143650 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -1 - 8\/(-6) - 455\/(-21) and (-8)\/(-3)*3\/2.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305251462 to the power of 1\/2, to the nearest integer?\nAnswer: 17471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 5*i**2 + 6. Let j be z(5). Let v = j + 6. Is 3 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -131594, -134346, -137098, -139850, -142602, -145354?\n\"Answer: -2752*y - 128842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -5, 67, 217, 481?\nAnswer: 895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + 11\/4 + (-205)\/(-20). Suppose p*v = 6*v - 12. Is 15 a factor of (45\/4)\/(v\/(-16))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 25727720.\nAnswer: 25727720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 87.18 to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 302 + -11?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 7. Let f(z) = 0*z**2 + 3*z**2 + 2 + p + 5*z. List the prime factors of f(-3).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 7:01 PM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -16*g - 3. Let i(d) be the second derivative of -5*d**4\/4 - 1333*d. What is i(u(m))?\nAnswer: -3840*m**2 - 1440*m - 135","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101 + -110111111100010001010?\nAnswer: -110111111100001100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -18 (b) 3 (c) -13 (d) -6.3 (e) 45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 2:15 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -13. Let i be 3 + (x - 0 - -2). Differentiate 3 + 4 + n - i - 3*n wrt n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 5*j**3 + 340715*j**2 + 5804165200*j - 5804505920 = 0.\nAnswer: -34072, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 2*i + 5*v, -3*i - 4*v + 9 = -26. Suppose -z - 2*z - 2*y = -9, 0 = 2*z - i*y - 6. Suppose 77 = 4*d - z*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l - 2662 = 2829 - 5241 for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3725 = 17225. Does 36 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4428?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/(-10) - (1 - -1). Suppose 4*k - 3*i + 3 = 0, -2*k - 3*i = 2*i - 31. Which is smaller: j or k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.1 + -2. Let b = z - -8.9. Let j = b + -7.99999. Round j to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -3\/2*g**2 + 0*g - 9. Let z(h) = -2*h. Give m(z(o)).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2115894.\nAnswer: 2, 3, 11, 32059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/5 of a millennium?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (-3 + -1)\/4. What is the second derivative of -6*t - 10*t**4 + 2*t**2 + 11*t**4 - 2*t**a wrt t?\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m - 4*z = 0, -58*m + 59*m + 3*z = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9046 - 9045.1624. Round u to two decimal places.\nAnswer: 0.84","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1163*m + 1174*m = -121 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2. Let d(c) = -c**3 + 4*c**3 - 4*c**3 - 6*c**2 + 0*c**3. Determine 5*d(g) - 30*s(g).\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 510 and 135?\nAnswer: 4590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 214 + 2984. Suppose -o + g = 2*o. Is o\/8 - 3\/12 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012991 rounded to 3 dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 16 = -5*s, 2*q - 4*s - 1 = 9. Let n = -24 - -26. Let y = q + n. Calculate the remainder when 1 is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 i when two letters picked without replacement from ospdppdfppidopdo?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 10. Suppose 1 = -b, -b + 99 = -i*h - 5*b. Let s = h - -19. Solve s = 3*t - 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 16 = -5*x - 4, 16 = -c - 4*x. Let n(q) be the first derivative of c*q**2 + 3\/4*q**4 + q**3 - 1 + 0*q. Factor n(o).\nAnswer: 3*o**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*sqrt(1539) + 3 + -4 + sqrt(19) - -2*(2*(sqrt(19) - sqrt(76)) + -1*(sqrt(19) - (sqrt(19) + 0)**2))).\nAnswer: -23*sqrt(19) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(3\/11)\/a*a)\/(a\/(a**5\/a)))\/(a*a*(a**8*a)\/a*a*a*a\/(a\/a**(11\/4))) assuming a is positive.\nAnswer: a**(-505\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -359*o**3 + 1517*o**2\/2 - 1465*o. Differentiate i(k) with respect to k.\nAnswer: -2154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = q + k, 5*k - 63 = -q + 34. Let o = q - -18. What are the prime factors of o?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44\/(-330))\/(85\/102)?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*d + 2*d**2 + 395*d - 61*d - 75*d - 77*d - 79*d.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 9. Let u = 50 - 23. Suppose 5*q - u - 3 = 0. Solve -q = v - 5*t, -3*v + 5*t - 8 = -x*t for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1\/15, 4, 26, -0.02 in descending order.\nAnswer: 26, 4, 0.3, 1\/15, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 627759 (base 10) in base 14?\nAnswer: 124abd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 786a25d - 0?\nAnswer: 786a25d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/((27\/(-72))\/((-4)\/(-16))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -2*k - 806 + 291, -u - 2*k + 103 = 0. Suppose -2*f + 10 + 5 = -z, z + 21 = 3*f. Calculate the least common multiple of f and u.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 1314?\nAnswer: -1321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 37\/9 (b) -5 (c) 8412 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/15)\/(1\/15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3\/10 - 17\/40. Let l = -69\/2 - -211\/6. Let x = 11.6 + -11.2. What is the third smallest value in f, l, x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -322, -620, -918, -1216, -1514?\nAnswer: -1812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 15*n + 3. Calculate p(-16).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.101013 to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 9*d - 10. Let q be s(8). Calculate the common denominator of (7 - 2)*q\/(-4) and (-97)\/18 - (-2 - 0).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/20*-1*((-1505)\/(-8127))\/(47\/(-3))\nAnswer: 1\/141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 429 - 317. What is the greatest common factor of 119 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3881 or -1?\nAnswer: 2\/3881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 8*k - 6. Let i be n(8). Let q(l) = -l**3 - 6*l**2 - 2*l - 12. Let a be q(i). Suppose 0 = -a*o - o. Solve 2*b - 3*b - 1 = o for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s = -2*f - 80, 610 = s + 11*s - 11*s - 11*f for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x - x - 3*x)*(-19 + 8 + 215 + 64) to l + y*x and give y.\nAnswer: -1608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.90517 millennia to months.\nAnswer: 70862.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a kilogram in grams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (15\/12)\/((-27)\/(-108)). Solve -5*a - p + r = 3*p, 3*a - 5*p = -34 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/(-2)*2\/3. Suppose -o*s + 30 = 5*k, 4*k = k + 5*s + 2. Solve k*g + 8*v - 3*v = -10, 0 = -4*g + 5*v - 30 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 57827 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 855 = 4*n. Let c = -166 - n. What is the highest common divisor of 55 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.1 + -5.1. Sort n, -0.4, -4.\nAnswer: -4, n, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-10 + 8 - 7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 11:51 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 6, 3\/4, 7?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -10)*(-8)\/(-36) + 6. Let h = -228 + 228.2. What is the nearest to f in h, -0.3, -4, -0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -218 - -233. What is the remainder when 522 is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 16 = -2*j, 16 = -4*u - 179*j + 174*j for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31*9.\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 92\/3 - 29. Let h = -35541 + 426493\/12. Which is the second smallest value? (a) g (b) 5 (c) -1 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 6 + 2 + -1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14a3de2c - 3?\nAnswer: 14a3de29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 9:19 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 5 = -5*j. Suppose -29 = -j*k - 21. Let m(r) = 2*r + 30. Let p be m(-14). Solve 0 = p*n + 2, k*h + n - 3 - 4 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 7. Let y(b) = -4*b**2 - 12*b - 20. Let t(i) = 5*i**2 + 14*i + 22. Let c(p) = 6*t(p) + 7*y(p). Determine 5*c(n) - 6*d(n).\nAnswer: 4*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*i + 398425 = 388479 - 1965374. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 481397?\nAnswer: 7, 68771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -1. Let n(o) = 6 + 586*o + 4 - 3 - 4. Let z(p) = -m(p) - n(p). Let w be z(-7). Round w to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 7. Solve -l*r = -2 + 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -f**6\/24 - f**5\/4 - f**2 - f. Determine t so that o(t) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 2. Suppose -4*b - 5*v - 11 + j = 0, 0 = -b + v + 7. Suppose p - n - 9 = 0, 3*n = b*p - 2*n - 35. Solve p*i + 16 = 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of 11*u**5\/60 - 67*u**2. Let g(z) = -11*z. Determine j(g(h)).\nAnswer: 1331*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56644)\/(-153))\/34 - 10*(-24)\/(-20)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, o: 5, d: 2, v: 11}. Give prob of sequence dooa.\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 873*t - 846*t - 27 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 3*b**3\/4 + 146952699*b**2\/4 - 146952708*b + 146952711 = 0?\nAnswer: -48984237, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79251 divided by -50.\nAnswer: 79251\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(1452) + (sqrt(1452)*1 - sqrt(1452))) + 6*(sqrt(1452)*-2 - sqrt(1452)))\/((sqrt(30)*2)\/sqrt(5) - 5*sqrt(6)*4))**2.\nAnswer: 43681\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19 - (-31)\/((-496)\/(-623424))?\nAnswer: 7, 5569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3197179123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -198546, -198545, -198544, -198543, -198542, -198541?\n\"Answer: c - 198547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 6)*(-5*q**4 + 4*q**4 + 0*q**4) - 611*q**4 - 125*q**4 - 107*q**4 - 5*q**4 + 0*q**4 + 2*q**4.\nAnswer: -847*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 2 = 3*z. What is the units digit of (-5)\/(-5)*(-9)\/z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 301089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 175, 703, 1575, 2785, 4327, 6195, 8383, 10885?\nAnswer: 13695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 6. Let y = -11 - -8. Which is smaller: a or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (24 - 12)\/3 + -4. Which is bigger: -1\/316 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 435284 is divided by 435265.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 62, -11\/5, -2, 5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -818*f**3 - 867*f**3 + 1861*f**3 + 0*f**2 + 0*f**2.\nAnswer: 176*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 55, 3.\nAnswer: 2, 3, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 11:41 PM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 5*g = -20. Suppose -r - g*r = 20. Let i(k) = -k**3 - 3*k**2 + 5*k + 1. Determine i(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -590*b**2 + 375*b**2 + 215*b**2 + 118*b**3.\nAnswer: 118*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 12. Let x(h) = -h**3 + 7*h**2 + 6. Let g be x(z). Let l be (g - 3 - 2) + 1. Let t(i) = -i - 1. Let y(w) = 4*w + 3. Calculate l*y(c) + 6*t(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - ((-5 - (0 + 3 + -9)) + -3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -63 + 67. Suppose -o + q = -11, 2*o - l*q = -3*o + 59. Is o bigger than 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6714188*h**4 + 14*h**3*m + 2898*h**2*m - 7*h**2 + 4*h*m - 234 wrt h.\nAnswer: -161140512*h + 84*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3*q = -89, 5*i = 4*q - 0*q + 103. Suppose 1 = 5*o - i. Suppose 30*r - 86 = -26. Calculate the greatest common factor of o and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 0*f = -3*f. Suppose 5*z + 0*u - 2*u + 765 = f, z + 145 = 2*u. Calculate the common denominator of -79\/20 and 3\/3 - (3 - z\/(-180)).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -18*z + 9. Let q be z*(-18)\/8*128\/(-192). Let l(d) = 6*d - 1. Give l(q).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 3:01 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/12 and 79\/232?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*n + 4048 = 32*n + 292*n for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3230224 (base 6) to base 13\nAnswer: 5779c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5111 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(9\/8)*c*c*c\/(c*c*c**(1\/5)\/c))\/(c**(-1\/4)*c**(-1\/17)*c) assuming c is positive.\nAnswer: c**(1519\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -5. Let v = f + -3. Suppose 0 = -4*t + v*p + 52, -2*t - p = -5*p - 38. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -8. Suppose 1 = 5*j + q + 7, 2 = -w*q. Let l be 0*2\/6*j. Solve l = -2*r - 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t**2 - 54*t - 18. Let x be u(-17). Suppose -x = -l + q + 3, 3 = -3*q. Solve 2*j + 5*z = 7, 3*j = -2*j + 5*z - l for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1456644?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35 - 16 - 2*f**3 + f**4 - 18 - 2*f**2 to the form m*f**3 + d*f**2 + s + b*f**4 + l*f and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5 + (-1*(sqrt(176) + 2)*6)**2.\nAnswer: 576*sqrt(11) + 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 8:10 PM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3 = -42. Let l(g) = -g**2 - 6*g + 27. Let q be l(c). Let z(w) = -w**3 - w**2 + w + 11. Calculate z(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-10)\/a**(-14\/5)*a*a**(5\/6)*a**(2\/5))**(-34\/7) assuming a is positive.\nAnswer: a**(2533\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of 215*r**4\/42 + 4*r**3\/21 - 1206*r. Suppose h(f) = 0. What is f?\nAnswer: -4\/215, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1986757265?\nAnswer: 5, 587, 676919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2263841958?\nAnswer: 2, 3, 7, 17, 71, 44657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320 = 23*u - 25. Let a be 462\/90 - 5 - 2\/u. Solve -3*v = 2*n + 3, -n - 7 = -4*v - a for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/3, -2555, 1, 159, -0.02, 0.4?\nAnswer: -2555","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -365*u**3\/6 - 297*u**2\/2 - 279*u. Differentiate x(g) wrt g.\nAnswer: -365","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 2*b**2 + 3*b - 1. Let o be u(2). Suppose -o*k + 14 - 64 = 0. What is the units digit of (2 - k\/2)*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6962, 13925, 20888, 27851?\nAnswer: 34814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 133 and 3076195.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 8*u + 3 = 2*m, 0 = -3*u + 4*m - 13. Let g(d) = -6*d + 7*d**3 + 2*d**3 + u + 5*d - d**3. Give g(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3\/4, 31, -3 in increasing order.\nAnswer: -5, -3, -3\/4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11984877539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(2\/79))\/(v\/(v*v**(1\/2)*v))*(v*v**(3\/4))**(2\/5) assuming v is positive.\nAnswer: v**(1254\/395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -16. Let x = -7 - -10. Calculate the remainder when -1*(-2 - g) + -3 is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/(-5))\/(2\/(-4)). Let w be z\/(-3) + 4\/12. Let j = w - -3. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 228735 and 458505.\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k - 3 + 3)*(499 + 212 - 117) as h*k + c and give h.\nAnswer: 1188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 15*t - 264 = -11*t for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (13\/(-104))\/((-111)\/24 + 4). Let y be (10 + -4)\/((-3)\/(-2)). Which is the nearest to q? (a) y (b) 2\/5 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2283 + 1446 = 18*v - 303. Calculate the highest common factor of v and 8288.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + (24 + -21 - -16).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -355 + 373 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -402, -401, -400, -399, -398, -397?\nAnswer: -396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/3)\/(35\/(-126)). Let h = 14471 + -14469. Determine k so that -k + w - 1\/5*k**h = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 2 - 6. Let v be (-3)\/(g\/(4\/33)). Let z be 22\/24 - 2\/3. Which is the second biggest value? (a) z (b) 0.4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8452 - -8954. Is 7 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 32923716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*y + 24 = -4*p - 20*y, -4*p - 4 = -8*y for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ihhfihiihjifjdmhh. Give prob of sequence hi.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176867.\nAnswer: 137, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*g**3 + 60732118*g - 60732118*g.\nAnswer: -52*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.1698 + 11.1699. Let u = i - 8. What is u rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 252.44 and 62.\nAnswer: 314.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -36919.564 rounded to the nearest 1000?\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 1 - 4 + 2 + i. What is the units digit of l(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - d**2 + 3*d + 4. Let l be f(-3). What is the remainder when 1*l\/4*12 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5044.\nAnswer: 2, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 342 a factor of 1123470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2728 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3 + 0*a**3 + 3*a**3 - 3*a**3 - 2*a**3 + 3*a. Let o(n) = n**3 - 3*n - 2. Let y(b) = -3*o(b) - 2*t(b). Find the second derivative of y(m) wrt m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133283*u + 12099 = -133392*u for u.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in 1, -334.2, 0.3, -3, -1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000037 to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeezeeezzeeeeeeeeeze. What is prob of sequence zezz?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kaafkfqakafkaqfkak. What is prob of sequence aakk?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 782\/19, 30332?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 560 a factor of 560259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of 7*d**4\/8 - 31*d**3\/6 + d**2 - 29. Does 34 divide o(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 91 or 73?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 y when four letters picked without replacement from {y: 3, o: 8, q: 5}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 9:06 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 668966 by -71.\nAnswer: -668966\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.9 + -0.1. Let o = 0 - h. Suppose -j + 2 = -1. Which is the second biggest value? (a) j (b) -0.5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-46)\/(-7) + (-21)\/(-49). Solve -3*t = -k - 2, -2*t + 18 = -3*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/24)\/(2\/12). Let p(c) = 343 - 343 + c**n. Let f(r) = -3*r. Determine p(f(t)).\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -5\/2 (c) 4 (d) -24.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from ueuuuueuuueeuueuue?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 177 divide 30975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 + 41. Suppose 15*l + 5 = 80. Suppose -4*x + 16 = 0, -s - 2*s + l*x = -112. What is the remainder when s is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2. Let r(t) = -17*t**2 - 40*t - 4. Let l(g) = 2*d(g) - r(g). List the prime factors of l(-7).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -137.\nAnswer: -54.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1015, -2018, -3021, -4024?\nAnswer: -5027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w - 5*w = 40*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 1:34 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen sixths of a week?\nAnswer: 28560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/312 and -101\/18822.\nAnswer: 978744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rriz when four letters picked without replacement from zrgqqqrriin.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2 + 121 + 3\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-27)\/(-738)*4\/(-6)\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 2) + -10 + 11 + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, 0.7, 3, 7, -5\/4, 2, 4 in decreasing order.\nAnswer: 7, 4, 3, 2, 0.7, -5\/4, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.5 (b) -2\/7 (c) -7413 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 746424787*y + 39802265.\nAnswer: 746424787","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/3 + 17*i**3\/3 + 9*i**2 - 15*i.\nAnswer: i*(i - 1)*(i + 3)*(i + 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*l + 4*l + 90. Is l + (3 - 5) - 29*-13 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**3 + 13*y**2 - 21*y - 20. What is f(-8)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one fifths of a kilogram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.9365 - 0.0465. Let m = q + 0.71. Let n = -6.2 + m. Is n less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 12:19 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**3 - 4*u**2 - u + 2. Let b be x(-2). Suppose 5*i - i - p - 3 = 0, -b*p = -i - 18. Solve 2*h = h + i*o + 6, 5*h + o = -14 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 30*(9\/6 + -1). Let o be -1*4*l\/84. Let p = o + 8\/21. Which is the biggest value? (a) -4 (b) p (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1669 - 1669. Find w such that 6\/11*w**2 + 4\/11*w + f + 0*w**3 - 2\/11*w**4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 10:06 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**3*v**3 - 44*a**3*v - 2*a*v**3 + 3*a*v - v**3 - 1 wrt a.\nAnswer: 12*a*v**3 - 264*a*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3164626*a**3 - 4782621?\nAnswer: -9493878*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00567372125 to 6 dps.\nAnswer: 0.005674","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**4\/3 - 2*z**3\/3 + 2*z**2\/3 + 2*z\/3 = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 54\/(-432) - 10225\/(-8). Calculate the greatest common divisor of 54 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 210154070 by 705215.\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1420*c**2 + 656*c**2 + 345*c**2 + (c - 3*c + 0*c)*(0*c + 0*c + 3*c).\nAnswer: -425*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6, -10, -5, -24 in decreasing order.\nAnswer: 6, 5, -5, -10, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 553233391 to the power of 1\/2, to the nearest integer?\nAnswer: 23521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/16 or 3596720?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5283711 + 20.\nAnswer: 19.4716289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 5*i**2 - i - 3. Let f be u(-5). Differentiate 12*y**2 - 7*y**f + 8 + 9 + 12*y**2 wrt y.\nAnswer: 34*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18311816 plus 2?\nAnswer: 2.18311816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 550600?\nAnswer: 2, 5, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 239660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.1 (b) 5 (c) -3 (d) 28 (e) -0.04289 (f) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.249 - -0.051. Let l = -7 + 3. Let y = 0.02 - -2.98. Which is the smallest value? (a) y (b) k (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of 2*g**3\/3 - 7*g**2\/2 - 4*g - 21. Find l, given that n(l) = 0.\nAnswer: -1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -374*y**4 + 37*y**3 - 2*y - 104736?\nAnswer: -1496*y**3 + 111*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -502*h**5 + 351*h + 60*h + 139*h + 471*h wrt h.\nAnswer: -10040*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 742886298 + -348216298. Round z to the nearest one million.\nAnswer: 395000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, h: 12}. What is prob of sequence ihhi?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 20 = 3*m. Suppose -64 = -14*d + 12*d. Suppose -3*x + 20 - d = 0. Sort 2, x, m.\nAnswer: m, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 979?\nAnswer: 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (159\/(-2))\/(1\/2 + (-123)\/164). Which is greater: 323 or c?\nAnswer: 323","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 t when three letters picked without replacement from ututmmuumut.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 7895*n + 168 - 19*n**2 + 21*n**2 - 7909*n as o*n + d*n**2 + x and give o.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((1 - -3) + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -237872 rounded to the nearest 100?\nAnswer: -237900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f - 4279 = -4301 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -12*h. Let a(v) be the second derivative of -5\/6*v**3 + 25*v + 0*v**2 + 0. What is z(a(y))?\nAnswer: 60*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -4*n**2. Let o(c) = 5*c - 7. What is o(x(i))?\nAnswer: -20*i**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 14 (b) 1\/2 (c) 28 (d) 0.8 (e) -35 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00010303 rounded to six dps?\nAnswer: 0.000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3070, 6151, 9232, 12313, 15394?\nAnswer: 18475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j*q**3*y + 2*j*q**2*y**2 - j*q**2*y - 165*q**3*y**2 + 3*q**2*y - 14*q*y**2 - q wrt y?\nAnswer: 4*j*q**2 - 330*q**3 - 28*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/4 and -43\/1334.\nAnswer: 2668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, -195, 3\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 4, 5*s + 33 = g + 94. Let r be (24\/10)\/(s\/210). Suppose -d + r - 15 = 0. Does 24 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.2, 1, 13451, 4, -1\/3 in descending order.\nAnswer: 13451, 4, 1, 0.2, 0, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/((-637)\/(-14)))\/(410\/70*1)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -m**8\/10080 - m**7\/3780 + m**6\/1080 + m**5\/180 - m**4\/6 - 4*m**2. Let n(a) be the second derivative of z(a). Solve n(r) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 115783, 463127, 1042031, 1852495?\n\"Answer: 115780*l**2 + 4*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -220, -390, -510, -574, -576?\n\"Answer: w**3 + 19*w**2 - 234*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 2*r**2 - 5)*(-178 + 178 - 20*r) to the form y*r**3 + u*r + h + m*r**2 and give y.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -17*v - 517. Determine a(-30).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 86 + -2 + -1 + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -74 + 74.000066. Round p to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**2 + 2*c**2 + 2*c**2 + (-4 + 2 + 0)*(c - c + 2*c**2).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117478*h**3 + 117271*h**3 - 234475*h**3.\nAnswer: 274*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence njj when three letters picked without replacement from {j: 11, n: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + 1. Let a = 12 - x. What are the prime factors of 164\/8 - (-3)\/a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 41098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a = -10*a - 36. Let t(s) be the second derivative of 2*s**3 + 0 - 2*s + 1\/6*s**4 + a*s**2. Factor t(g).\nAnswer: 2*(g + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -7. Let i = -1 + f. Solve 2*a + 5*p = -5, 10 = -i*a + 5*p - 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 18*u**2. Let f(b) = 13*b - 7*b - 5*b. Determine f(w(j)).\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1815961362.\nAnswer: 2, 3, 302660227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven fifths of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/30 + 1\/3. Let q(f) = -11*f**2 - 48*f - 15. Let w(b) = -b**2 - 11*b - 22. Let x be w(-2). Let j be q(x). Is y not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(1\/4)\/f*f**(-1\/3))**(-44) assuming f is positive.\nAnswer: f**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 5*u = -15. Solve -u - 2 = 5*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.314024 times -135?\nAnswer: -177.39324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164*d - 26594 = 159*d - 3*c, 0 = -c - 2. What is the thousands digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -314*u + 149*u + 79 - 2059 = 0 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2595*b**3 + 18360*b**2 - 276*b**3 + 1468*b**3 - 19691*b**2 wrt b.\nAnswer: 22722","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 83101*a**2*g**3 + 2*a**2*g + 5*a*g**3 - 2*a*g**2 - 19*a + 63*g**2 wrt a.\nAnswer: 166202*g**3 + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eu when two letters picked without replacement from {f: 3, e: 5, u: 3, t: 6}.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 90 - 92. Let f = -4 + 4. Let y(v) = 0*v**3 + 3*v + 2*v**2 + 4 + f + 2*v**3 - 1. Give y(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 125787766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1001732 is divided by 212.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -2\/11 (b) -4 (c) 2\/3 (d) -2\/477\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 5303844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10024108813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 6) to base 10.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1909*t - 293*t - 54*t.\nAnswer: 1562*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 16334, 16309, 16282, 16253, 16222, 16189?\n\"Answer: -v**2 - 22*v + 16357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24\/602485 and 55\/12772682.\nAnswer: 63863410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000031483383 to six dps.\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of c**9\/5040 - c**8\/1680 + c**7\/1680 - c**5\/12 + c**2. Let t(i) be the third derivative of u(i). Find y, given that t(y) = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) 154 (b) -2\/5 (c) 1\/4 (d) 0.3 (e) -31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-4) - 1) + 4. Does 14 divide a + 54 - (-1 + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*c*l**3 - 9*c*l**2 - 200*c + l**2 - 5*l - 7 wrt l?\nAnswer: 21*c*l**2 - 18*c*l + 2*l - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u - 34. Let s(k) = 2*k + 69. Let o(d) = -6*s(d) - 13*t(d). Let c be o(-8). Suppose -16*w + c*w - 40 = 0. Solve 0 = -n - 4*n - w for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 9:14 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -15 + -1 - (-7 + -33 - -4).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3140.4743 rounded to the nearest 10?\nAnswer: 3140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 97232 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*-5*10\/150.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29745619?\nAnswer: 29, 349, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*p**3 - 33*p**3 - 68*p - 57*p wrt p.\nAnswer: -48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 3:51 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -1) + (33 - 13 - 5)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/152906 and -69\/2.\nAnswer: 152906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25800354?\nAnswer: 2, 3, 1433353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 4*g**2 - 5*g - 5. Let l(w) = -2*w**2 + 2*w + 3. Determine -5*l(n) - 3*m(n).\nAnswer: -2*n**2 + 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*b = -140*b. What is the second smallest value in 0.2, 4, -7, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 0.3 (b) 2\/3 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 9*k + 2. What is the remainder when 48 is divided by q(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 23 - 15 - 11. Sort 3, 5, 2, d, -11 in descending order.\nAnswer: 5, 3, 2, d, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -5 - 148*b + b**3 + 353*b - 211*b - b**2. Calculate z(5).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 3438 + 264414 = 0. What is the third derivative of -60*b**5 + h - 44642 - 28*b**2 wrt b?\nAnswer: -3600*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvjvvjvv. What is prob of sequence vvv?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 57899.053.\nAnswer: -57900.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + -3 + 16\/4. Let v = 6 - 3. Suppose -2*y = -l*y + v. Solve 3 = -3*u + y*r, -u - 28 = 3*u + 2*r for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 66\/4339 or 1?\nAnswer: 66\/4339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 z when four letters picked without replacement from wwzzbwbbssszqnq?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10 - 8*b**2 + 3*b**2 + 7*b**2 + b**2 wrt b?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 21720 + 23?\nAnswer: 21743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -202, 451, 1540, 3065, 5026, 7423, 10256?\n\"Answer: 218*a**2 - a - 419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1\/51 (b) 0.3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23212113020303 - 1?\nAnswer: -23212113020310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2413 - 6*z**3 + z**3 - 2413.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3859647065.\nAnswer: 5, 1091, 707543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-5 + 6 - (-3 + 0)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a - 7. Is d(-8) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - r = -3, 3*p - 4*p + 4*r = -3. List the prime factors of p\/7 + (-891)\/(-63).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 0*t - 43 = -5*z, 0 = 4*z + 3*t - 29. Let x be 2\/z - 93\/(-12). Suppose 3*r - x = 5*r. Sort -0.1, -5, r.\nAnswer: -5, r, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/((-37)\/9) + 12*-1?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, u: 3}. Give prob of picking 1 a and 3 u.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.43 * 1.6\nAnswer: 0.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l - 11. Let s(u) = -u + 6. What is 2*k(i) + 5*s(i)?\nAnswer: i + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -69 - -dc0?\nAnswer: d56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a + 5*a + 0*a)*(6*a + 2*a - 9*a) - 4 - 6*a**2 + 4 + (0 - 1 + 0)*(0*a**2 - 3*a**2 + 5*a**2) to the form g*a**2 + m*a + t and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4930479 tonnes in milligrams?\nAnswer: 493047900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dg when two letters picked without replacement from {d: 2, g: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 96, 205, 326, 465, 628, 821, 1050?\n\"Answer: q**3 + 102*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7243 + -7189. Solve -v = 2*k - 64 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 0 (c) -1\/6 (d) 45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-42)\/126 + (-7)\/(-3). Let q = -158 - -160. Solve q*d + b*l = -8, d - 5*l - 12 = 2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*d**5 + 12*d**5 - 15*d**5 - 2*d**5 - 2*d**5 + 2*d**5 + 3*d**5 + 4 - 4 + (d**4 - 2*d**4 + 0*d**4)*(-3*d + 0*d + d).\nAnswer: -24*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 10994*d - 109996. What is j(10)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1693 - 20.6026.\nAnswer: -1713.6026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 9. Put -1\/4, -0.4, s in descending order.\nAnswer: -1\/4, -0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7213359 by -7213359.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23777182?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3348190+0.3473\nAnswer: 3348190.3473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -120121032 (base 5) to base 6\nAnswer: -15452424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i**2 - 4*i - 6. Let a(p) = p**2 - 1. What is 14*a(y) - 2*m(y)?\nAnswer: 8*y**2 + 8*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**3 + 0*u**3 + u**4 + (5*u**3 - 2*u**3 - u**3)*(4 + 2*u - 4) + (4*u**3 - u**3 - u**3)*(-1 + 1 - 1)*(4*u - 4*u - 3*u).\nAnswer: 11*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 15, 0.4, -1\/4 in increasing order.\nAnswer: -4, -1\/4, 0.4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 21, 101, 191, 297, 425, 581?\n\"Answer: z**3 - z**2 + 76*z - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s + 0*x = -2*x - 778, 1391*s - 4*x = 1396*s - 304 for s.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9120.3335 rounded to the nearest 100?\nAnswer: 9100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.08 + 0.02. Let k = -0.03 - -0.43. Let j(c) = -c**2 + 1. Let x be j(1). What is the closest to q in 1\/2, x, k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bggflvfgbff. What is prob of picking 1 v, 1 b, and 2 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2966, 6363, 9744, 13103, 16434, 19731, 22988?\n\"Answer: -g**3 - 2*g**2 + 3410*g - 441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Express -w**2 - 2*w**2 + w**2 + (8 - 3 - 2*w**2 + 3*w**2)*(-96 - 38 + 31) as c + b*w + d*w**2 and give d.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2475*t**4 + 4944*t**4 - 2471*t**4 + 614*t**5 - 3*t**2 + t**3 - 24*t + 1 + 15*t**5 wrt t?\nAnswer: 37740*t**2 - 48*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*j**3 + 2 - 18*j**3 - 9*j**3 in the form c + w*j**3 + v*j**2 + m*j and give w.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(2448) - ((2*sqrt(2448) - sqrt(2448))*3)**2 - (sqrt(2448) - (sqrt(2448) - (2*sqrt(2448) - sqrt(2448)))*-4)**2) + (1 + sqrt(2448))*5*4 + 3.\nAnswer: -24453 + 252*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - ((-4 - 4) + 5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38 - 6) + 32 - (16 - 1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x - 2. Let r be l(-7). Let y(p) = p**3 + p - 3. Let u be y(0). Is 2*80 - (r + u + -3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*j**2 + 5*j**3 + 4*j**3 + 158*j**2 - 16*j**3.\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1036 and 592?\nAnswer: 4144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 45444000 rounded to the nearest one million?\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -884*k**2 + 2*k - 382*k**2 - 240*k**2 - 3*k.\nAnswer: -1506*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011111100111101100011 - 11?\nAnswer: 11011111100111101100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 4*o - 2*h + 10, -4*o + 5*h - 22 = 0. Let i = 0 - o. Suppose 31 = u - i*s, 2*s - 10 + 39 = u. What is the remainder when u is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67578 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261282860?\nAnswer: 2, 5, 17, 768479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t*t**(-1\/4)*t)*t)**38*(t*t*t**(-2\/5)*t)\/((t*t*t**7*t)\/t))**(-16\/7) assuming t is positive.\nAnswer: t**(-3288\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((0\/4)\/4)\/(28\/(-28))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3204, 3208, 3220, 3246, 3292, 3364?\nAnswer: 3468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3763855 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22891548?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, d: 1, b: 5, l: 2, m: 1, y: 3}. Give prob of picking 1 d, 1 b, and 1 x.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1005 - -1547. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46842610*z**5 + z**3 - 4492083*z**2 + 4?\nAnswer: -2810556600*z**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c - 139. Calculate v(-43).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -341731 = -4*s - 3*b - 75337, -199794 = -3*s - 3*b. Round s to the nearest one thousand.\nAnswer: 67000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/5 - 32\/5.\nAnswer: 2*(c - 4)*(c + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 131 = 5*u, 3*k + 4*u - 219 + 26 = 0. Let b be (2\/4*k)\/(6\/8). Suppose 0 = -2*d + 5*i + b, -5*i = 4*d - 2*i - 32. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67 + 2*t**2 - 67 + t + 16*t**3 to the form d*t**2 + z*t**3 + k*t + f and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 18. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v + 2. Let u be h(0). Suppose 4*d + 3*m = 45, -6*d + 4*m + 95 = -d. Solve -4*a - 10 = -u*s - 6*a, 4*s = a + d for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(4000))\/(-1*sqrt(200)).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-279)\/(-39) - (-2 + 9). What is the closest to s in -0.4, 5, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*t + 8*t + 2*t**5 + 2*t**2)*(-14 + 1 + 5).\nAnswer: -16*t**5 - 16*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - 6) + 3606 - 1*3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x**3 + x**3 - 3*x**3 + (108*x - 108*x - 5*x**2)*(3*x + 4*x - 6*x) as a*x**2 + y + j*x**3 + c*x and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 940061.\nAnswer: 53, 17737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**2 + 5*t. Let r(b) = -b**2 - 3*b. Let l(w) = -10*r(w) - 6*x(w). Let c(i) = -i**2 + 2*i**2 - 3*i**2 + 0*i**2. Calculate l(c(p)).\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 2, -6, -8, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 41 in 5, 291, 3, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -877965*d**2*r**3 - 175*d**2*r + 2*d*r**5 + 2241*d*r**2 wrt r.\nAnswer: -5267790*d**2 + 120*d*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 20*g - 0*s + 230, -5966*s = -4*g - 5963*s - 122 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/18 + 54739\/387. Let p = k - 13. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {j: 1, p: 2, a: 1, z: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*j**2 + 9*j**2 - j**2 - 127*j**3 - 1099*j**3.\nAnswer: -1226*j**3 - 7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f - 1. Let x(o) = -4*o - 98076. Calculate x(n(y)).\nAnswer: 12*y - 98072","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 14)*(-3 + 1 + 3)*((-q - 1 + 1)*(5 - 3 - 4) - 2*q + 2*q - 3*q) in the form z + s*q and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 1979*z**2 + 9*z - 3. What are the prime factors of q(-1)?\nAnswer: 7, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of 0*w**2 + 0 - 6*w + 2\/3*w**4 + 5\/6*w**3. What is the second derivative of a(n) wrt n?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, o: 13, j: 3}. What is prob of sequence yjoy?\nAnswer: 13\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t**(4\/11)*t)\/t*t))\/(t\/(t**(-7)\/t)))**(-32)\/((t\/t**(-5\/7))\/(t**(-5)*t))**(-15\/11) assuming t is positive.\nAnswer: t**(2152\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*u = -u + 32, 66 = -5*l + 3*u. What is the units digit of 3\/18 - 22\/l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.9 - -2.4. Let y = 2.5 - 0.5. Let h = -1.94 + y. Which is the second biggest value? (a) w (b) 1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**3 + 13*t. Suppose -8 + 28 = 1483*r - 1478*r. Let o(y) = 8*y**3 + 38*y. Calculate r*o(c) - 11*i(c).\nAnswer: -c**3 + 9*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4522.\nAnswer: 2, 7, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1116845813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*j + 5*a + 6, -84 = 5*j - 2*a. Suppose h = 2*h + 2*u - 21, h - 3*u = 41. Let d = j + h. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25701 - 25701. Solve u = 15*z - 12*z + 21 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 16*h + 40. Suppose 3*q + 13 = 4*q. Let l be b(q). Is 2\/5 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 16 = 2*x, 3*a - 3*x = -31 + 91. Suppose 23*k + 2 = a*k. What is the third derivative of -31*p**2 + 21*p**3 + 16*p**2 + k*p**3 wrt p?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w**2 - 3*w**2 - w + 4*w**2 + 2*w**4 - 3 - 4 - 2*w**3 in the form r*w + o*w**3 + y + n*w**4 + i*w**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*(sqrt(5) + -1) - -1*(sqrt(245) - 2*sqrt(245)))**2.\nAnswer: -120*sqrt(5) + 745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - 2. Let g = -83.496 - -83.596. What is the third smallest value in -1\/4, n, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6549666 + 2088.6?\nAnswer: 2089.2549666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 13*w + 48. Let c(t) = -14*t + 1. Let a(l) = -15*l + 1. Let x(b) = 6*a(b) - 7*c(b). Let n(f) = 7*f. Let u(k) = -6*n(k) + 5*x(k). Calculate u(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from vvvvvvvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11544.222 + 11534. Round a to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w + 3*a + 33 = 11*w, -5*w + 17 = -a for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 45 = -6*i, -2683 + 2647 = -4*m - 4*i. Let s(p) = p - 9. Let v(c) = 3*c - 37. What is m*s(b) - 2*v(b)?\nAnswer: 3*b - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*x = -1 + 10, -2*x = -3*h - 43. What is the remainder when (h*(2 + -1))\/((-3)\/3) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 + 15. Let g = f + 13. Suppose 5*t - 12 - 18 = 0. Solve g*l - l = t for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**3 + 6*t**2 - 1. Let a(c) = -4*c**3 - 5*c**2 + 2. Let r(y) = 6*a(y) + 5*b(y). Find the first derivative of r(o) wrt o.\nAnswer: -27*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ek when two letters picked without replacement from {h: 1, f: 1, k: 1, z: 4, e: 5, b: 1}?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3128*z**2 - 6649*z**2 - 6075*z**2 + 507*z**2 - 11296*z**2.\nAnswer: -20385*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/13)*n*n*n\/(n\/n**(-2\/7)))\/(n**(-1))**(-1\/53) assuming n is positive.\nAnswer: n**(7435\/4823)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - 4*g - 11, d - 14*g + 18*g = -17 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*z = -94 + 18 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u. Let x(o) = -1 - 5 + 12 - 5. Let z be (-4)\/(-6) + (-10)\/6. Let t(g) = 3*g + 12. Let s(y) = z*t(y) + 12*x(y). What is a(s(l))?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 2*p**2 + 3*p - 2. Let y = 14 + -9. Suppose y*m - 7 = -4*j, 4*j - 6 = -4*m - 2. Let i be z(m). Put i, 2\/5, 2\/9 in increasing order.\nAnswer: i, 2\/9, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -l**5\/5 + 7*l**4\/3 - 12*l. Determine i, given that v(i) = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 0*c**2 - c**2)*(0*c + c + c) - 92*c**2 - 159*c**3 + 180*c**2 - 90*c**2 + 4 - 4 - 2*c**3.\nAnswer: -167*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, r: 8, v: 4}. Give prob of sequence rr.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4*d - 199. Let a(b) = -b - 1. Determine 10*a(f) - 2*u(f).\nAnswer: -2*f + 388","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 87.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/5)\/(1\/(-5)). Let s(t) = 3 - 1 - 10*t - t**2 + 8*t + 4*t. Let r(d) = -d**2 + d + 1. Determine y*s(k) + 3*r(k).\nAnswer: -k**2 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20558*z**6 + 10218*z**2.\nAnswer: 2466960*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/17)*(p\/p**(8\/7))\/p*((p\/(p\/(p**(-7)*p)))\/p)\/(p**(-3\/14)\/p))**(-21\/8) assuming p is positive.\nAnswer: p**(4989\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 16*z**2 + 2*z - 2. Let y(u) = -15*u**2 - 2*u + 3. Calculate 3*i(s) + 4*y(s).\nAnswer: -12*s**2 - 2*s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 2*b - 6. Let w be h(2). Suppose 3*g - 5*q - 23 = 378, -q - 272 = -w*g. Suppose 2*m + 5*t - 45 = m, 5*m + 3*t = g. Solve 2*d = -3*d + m for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o - 7. Let i(c) = -2*c + 15. Let p(z) = -4*i(z) - 7*r(z). Let h be p(12). Sort 3\/5, h, -3.\nAnswer: -3, 3\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*j**4 - 6*j**3 + 427*j - 52713.\nAnswer: 16*j**3 - 18*j**2 + 427","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6\/25, 4, -0.5, -0.019, 1122?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 2*b - 10, -430*a + 22 = -b - 438*a for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 4*z**2 - 6*z - 1. Let h be k(-5). Suppose j = 2*x + 15, 7*x = 2*x - h*j - 18. Let y = -3 + x. Which is smaller: -8 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 5)*(-m + 4*m - m) - 26*m + 155393 - 155382 - 19*m.\nAnswer: -47*m + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5 - 7*j + 13 - 4*j + 3*j**2 - 2*j**2. Let n be r(11). Solve -7 - n = -5*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -276 - -570. Let h = -229 + f. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 106518?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -4*r, r - 5*b = 5*r. Suppose r = 3*k - 21 + 9. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of 0 - 38*b**2 - 2*b**3 + 1\/12*b**4 + 1\/120*b**6 + 0*b + 53\/60*b**5. Find the second derivative of i(l) wrt l.\nAnswer: 6*l + 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.3, 2, 0, 5, -8957, -1?\nAnswer: -8957","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -78 - 2 - (3 + (-3 - 0))?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - -30. Let g(w) = 3 - w**2 + 2 - 6 + 2 - 7*w. Let y be g(-3). Calculate the highest common divisor of y and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1262, -350, 1206, 3436, 6370, 10038?\n\"Answer: 5*k**3 + 292*k**2 + k - 1560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25.30001058 + -25.3. What is m rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 n, and 1 b when three letters picked without replacement from {d: 1, b: 2, a: 1, n: 5}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000027426 to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((-2*sqrt(76)*-2 + sqrt(76) + sqrt(76))\/(2*sqrt(484)))**2 + -3*((3 + -1*sqrt(19))**2 + 2*-2*sqrt(19))) + -5.\nAnswer: -180*sqrt(19) + 59353\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -310139762 + -0.13.\nAnswer: -310139762.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 times -16682?\nAnswer: -2135296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*a + 2*a + 2)*(1 + 3 - 3)*(a - 3 + 3).\nAnswer: -a**2 + a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-18)\/10)\/(9\/45). Let z be (-2)\/n - 48\/(-27). Let h be (18\/(-4))\/((-6)\/8). Solve -z = 2*v - h for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 10 + 25 = 0. Suppose -6*t + 5*t = -14. Let g = s + t. What are the prime factors of g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - (-5)\/(10\/4). Suppose -2*a - a = -15. Suppose 5*t - 9 = 2*w, 3*t + 0 = -a*w + 24. Solve -y*d - t = -18 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/4)*j*j*j*j*j**(1\/4)\/j*(j**0)**(-3\/5))**7 assuming j is positive.\nAnswer: j**(49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2060)\/(-630) - (-4)\/14 and 1 - (1 + 43 + 3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1593842?\nAnswer: 2, 796921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(9\/(-2)*(-408)\/216)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 12 = -2*z. Let q(r) = -6*r. Let t be q(-2). Let s = z + t. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**3 + 15*r - 429921*r**2 + 4*r**3 + 214914*r**2 + 215007*r**2.\nAnswer: 2*r**3 + 15*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**3 - 52*k**3 - 546*k**2 - 25*k**3 + 546*k**2.\nAnswer: -73*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*g - q - 297 = 0, g - 18*q + 36*q - 16 = 21*q for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tjyttqtkqqynnqqtt. Give prob of sequence tt.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -109 - -109. Suppose q = 5*a + 108 - 403. What is the remainder when a is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -211*a**3 - 16*a**2 + a + 2218. Let g(p) = -282*p**3 - 19*p**2 + p + 2957. Let c(y) = -7*g(y) + 9*u(y). Differentiate c(o) wrt o.\nAnswer: 225*o**2 - 22*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-4)*(15 - 5). Suppose -3*f = -2*f - c. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffqfzhzqh. What is prob of picking 1 h and 2 f?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 2, -4, -10, -16, -22?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 82 + -97. Let c be (-108)\/f + 2\/(-10). Solve 5*b - 2*t + 15 = 0, c = 4*b - t + 19 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 12*x + 6. Let p be r(3). Let y(u) = 64*u**2 - u. Let l be y(1). Calculate the greatest common factor of p and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + z + 1. Suppose -b + g = -6*b - 3, -3*b = -4*g - 12. Let v be u(b). What is the common denominator of (-162)\/4 - v - 3 and -47\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -0.38 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289 = 64*t + 23*l - 19*l - 45, 2*l = -4*t - 38 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.80587g in tonnes?\nAnswer: 0.00006380587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26.4 + -27.339. Round o to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 72*m**2 + 2*m. What is f(-1)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a tonne in kilograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-1\/11))\/(f\/(f**(5\/6)\/f)))**(-3\/8)\/((f**(-2\/7)*f*f**(1\/4))\/(((f\/(f**(-2\/5)*f*f))\/f)\/(((f**(-2\/15)\/f)\/f)\/f*f))) assuming f is positive.\nAnswer: f**(-7439\/18480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*n - 786884 = -131748. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2284681 divided by 2284681.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 7*w. Let z be (90\/(-20) + 4)*(3 + (-10 - -1)). Let f(y) be the second derivative of 0 + 2*y - 1\/3*y**z + 0*y**2. Calculate f(q(g)).\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-6) + 4\/(-6). Let t = -67\/2 - -33. Which is the biggest value? (a) t (b) -1\/4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3))\/((-6)\/63)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/7115904 and -11\/270.\nAnswer: 35579520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -429 - -452 - (2 + 0)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**4\/3 - 59*r. Let v(h) = h. What is v(p(q))?\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50 - -35. Let y = h - -27. Let x = 20 - y. What is the smallest common multiple of 16 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 2 - 13. Let v(p) = p - 1. Let z = 17 - 11. What is the lowest common multiple of z and v(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2928 + 2937. Solve -2*m = 5*b + 27, 0 = u*b - 7*b + m + 11 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 7 - 1) + 11 - -10.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 69 - 293.1. Let y = m - -224. Which is the third smallest value? (a) -1\/4 (b) y (c) -0.5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-30.1344\nAnswer: -120.5376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 60271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of h**5\/12 + h**4\/3 - 9*h**2\/2 + 1. Let c(d) be the second derivative of v(d). What is the second derivative of c(l) wrt l?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2998, 5209, 6484, 6355, 4354, 13, -7136?\nAnswer: -17561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/10 + 284\/20. Suppose -3*k = -r - 58. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -87 + 103. Suppose -3*u - x + 5674 = -0*x, 0 = 4*x - k. What is u rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 4, u: 5, a: 4, c: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -72*o + 79. Let l be w(1). Solve -l + 27 = 4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -227 divided by -132.\nAnswer: 227\/132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 1\/12 (c) 158\/101 (d) 71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1*(-3 + (sqrt(2299) + 2)**2 + sqrt(190)\/(sqrt(80)\/sqrt(8))).\nAnswer: 45*sqrt(19) + 2301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.06 (b) 0.5 (c) 1\/4 (d) -1\/3 (e) -2\/23 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15b + 19943?\nAnswer: 19aa2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f + 22. Let a be h(-7). Let g(x) = 139*x + 2. Is g(a) a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f - f - 5*f)*(-f + 3*f - f)*(2*f - 2*f - f) in the form d*f**2 + a*f + p + s*f**3 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1258, 2490, 3718, 4942, 6162?\n\"Answer: -2*i**2 + 1238*i + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - j**2 - j + 2. Let i(u) = u**3 + 5*u**2 + 3*u - 2. Let s be i(-4). Give t(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a millimeter in nanometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326 is divided by ((21 - 9) + 6)*(-5)\/(-3).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 458 + -678. Let m = y - -457. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 20 + 8?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4059 and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25695 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -3379227?\nAnswer: -1689613.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 - 26 - (-1 + 1 + 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 288?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (-22 + 0 - -1 - (328 + -318)) + -13?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 192 (b) 4102 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 424404 + -5?\nAnswer: 424355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v - 4*v + 4*v)*(2 - 2 - 1) + 48*v + 32*v - 38*v to the form n + y*v and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 0, 112 = 5*g - 5*d - 48. What is the greatest common factor of g and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 31 - 0 - (-1470 + 1458)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, i: 3}. Give prob of sequence ww.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 470, 471, 472, 473, 474, 475?\nAnswer: 476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-2 - 2) - (-27 + 44 - 12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.74 - 2.613. What is i rounded to 2 dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m + 7. Let g be 24\/9*27 - 2. Suppose 23*r - g = 18*r. Calculate the lowest common multiple of r and q(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -52 + 50 - 7\/1. Let d(q) = q**2 - 17*q - 5. Let i(f) = -f**2 + 1. Let z(x) = -d(x) - 3*i(x). What are the prime factors of z(o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-2)\/3*7*-3 and 1\/1*(-1 + 13).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -232 - 131. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of 13*a**6\/144 - 3*a**5\/40 - 11*a**4\/12 + 10*a. Let i(c) be the third derivative of m(c). Is i(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 + 22.7. What is the second smallest value in z, 0.3, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*h = 3*q + 5, 15 = 4*h + q. Suppose 0 = h*z - 7*z. Solve 4*n + z = -3*o - 5, 3*n = -6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 107244007?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 7:38 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(4\/(-8)*10\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-80 + 15 - 17)*(4*o**2 - 1 + o + 2 - 2*o**2) as f*o + i*o**2 + n and give f.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1599547523+0.5\nAnswer: 1599547523.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 362295.\nAnswer: 2\/72459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 721 in -0.3, 1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v**2 - 7*v - 62. Let u(b) = b**2 - 2*b - 21. Give -2*o(i) + 7*u(i).\nAnswer: -i**2 - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 546504.8 kilograms to tonnes.\nAnswer: 546.5048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 4 - 20. Let t be (8 - 4)\/(2\/d). Suppose -v = n - 3*v + t, -n - 4*v = -22. Solve -7*i + n*i = -2*j + 23, i + 1 = 4*j for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 179 = 45*g. What is the smallest common multiple of g\/(80\/(-36))*-3*10 and 14?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -9*r**2 - 5*r + 11. Let z(t) = 13*t**2 + 7*t - 16. Let a(k) = -7*v(k) - 5*z(k). Let f(o) = o**2 - 2. Determine -4*a(w) - 6*f(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26755685641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ln when two letters picked without replacement from {n: 4, l: 15}?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 6*t**2 - 21*t + 48. Determine v(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*c + 12. Let y(g) = -2*g**3 - g**2 - 2*g - 1. Let w be y(-1). What is the third derivative of -l**5 - c*l + 5*l + 3*l**2 - w*l wrt l?\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*i**2*l - 66443*i**2 + 39*i*l + 9862221*l - 6 wrt i?\nAnswer: 4*i*l - 132886*i + 39*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*o + 220 = -80 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2660)\/(-114)*(-3)\/7\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 2*g = -54. Suppose -4424 = -g*f - 170. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 3*u = -5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155 is divided by 153?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 703?\nAnswer: 7\/703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 10 = 5*t, 5*g - 5 = 3*t - 13. Let s be 169\/91 - (-2)\/14. Let q = -0.377 - 0.023. What is the smallest value in g, s, q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 6*a = 25, -10 = 5*r - 2*a. Suppose 0 = -2*g - 2*z + 4*z + 12, -5*g - 2*z + 16 = r. Calculate the highest common divisor of 8 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u. Let r(l) = -4*l + 1. Let g(p) = -9*o(p) - 2*r(p). Let y = 17 - 7. Suppose -2*s = -4*w + y, 5*s = 4*s + 5*w - 17. Determine g(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 19. Let m be 1 + 9\/(b\/4). Differentiate -44 + 39 + 6*q**4 - 2*q**m + 0*q**4 wrt q.\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 801599292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 37 - -56843a?\nAnswer: 568474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33210197 + -508.\nAnswer: -33210705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**2 - 10*p + 5. Let b(d) = -6 + 27*d**2 - 180*d - 60*d**2 + 191*d + 35*d**2. Determine 2*b(z) + 3*g(z).\nAnswer: -2*z**2 - 8*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.5, 6, 0.01, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + 2 - 2)*(-4*t**2 + 4*t**2 + 4*t**3)*(1 + 1 - 1) + 5*t**5 - 18*t**5 - 6*t**5.\nAnswer: -23*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 8:22 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdjmmjjjv. What is prob of sequence md?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3642, 14587, 32832, 58371, 91198, 131307, 178692?\nAnswer: 233347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4*l = 13 - 62, 2*a + 5*l = 2. Let c = 0 + a. What is the lowest common multiple of c and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -5*n + 48. Let u(h) = -6*h + 48. Calculate -7*g(l) + 6*u(l).\nAnswer: -l - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 722 divide 256359818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 831177686.\nAnswer: 2, 19, 21873097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, s: 1, q: 1, l: 2, u: 2, y: 1}. What is prob of sequence yqs?\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.98 + 1.88. Let l = 65 + -327\/5. What is the nearest to o in 1, l, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 312630?\nAnswer: 312631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (128\/(-40))\/(3968\/(-1488))\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 40*o**3\/3 - 13*o**2 + 38. Find the second derivative of t(i) wrt i.\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 + 202099168\nAnswer: 202099168.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 122830, 245480, 367958, 490270, 612422, 734420, 856270, 977978?\n\"Answer: u**3 - 92*u**2 + 122919*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/4 + 196\/(-8). Let x = 44 + j. Let r = -17 + x. Solve -r*k = -2*k + 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**2 - 2*d. Suppose -p = -3*p + 4. Suppose -65 = -253*x + 318*x. Let y(m) = m**2 - m. Calculate p*y(t) + x*g(t).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -7*b - 2. Let i(o) = 3*o**2 - 6*o. Let s(n) = 87*n**2 - 171*n. Let h(q) = 171*i(q) - 6*s(q). Determine h(k(m)).\nAnswer: -441*m**2 - 252*m - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15482*49275.\nAnswer: 762875550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 257339268 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 68 + 3?\nAnswer: 6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 0 + 0*m + 13*m**2 - 4 + 3*m. Let b be w(4). Suppose -86*x = 3*x - 2136. Calculate the greatest common factor of b and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4 = -6. Let g(s) = 0*s**2 - s**2 + 0*s**l. Let d(j) be the third derivative of -2*j**4\/3 - 29*j**2 - 8*j + 4. What is g(d(y))?\nAnswer: -256*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1821124 or -1821122?\nAnswer: -1821124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q*(q*q*q\/(q\/(q\/(q*q**4))))\/q)*q*q**(3\/2)\/q)\/(q\/q**0)**(-28))**(-25) assuming q is positive.\nAnswer: q**(-1575\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 52*y - 54 - 258. Is 45 a factor of (40\/y)\/((-84)\/(-17010))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -443 + 443. Solve 4*r + p*r - 5*b = 8, -4*b - 16 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -114 + 179. Does 13 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 2*g - 37255 + 37259, -3*g = -b + 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 41*h**3 - 12*h - 19*h**3 - 23*h**3 + 5 - 13*h**2. Let f be v(-12). Let a(c) = c - 3. Give a(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d + 87. Let n be p(24). What is the remainder when 70 is divided by 606\/14 - (n - 390\/(-42))?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19\/9 - -7\/3. Find r, given that 2\/9*r**2 + a - 4\/9*r = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6367756 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -161\/594600 and -151\/19740720.\nAnswer: 98703600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s + 3. Let i(m) = 4 + 5 - 10 - 4*m + m**2. Let l be i(3). Let v(b) = 3*b + 4. Give l*x(r) + 3*v(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (14\/((-70)\/(-3189)))\/((-6)\/(-40))?\nAnswer: 2, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**2 + 6. Let v be (-4)\/1 - (11 + -16). Let q(l) = 1 + 2 - 2. Let k(n) = v*y(n) - 6*q(n). Let g(c) = -2*c. Calculate g(k(a)).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-20)\/(-5))\/4)\/((-4)\/(-2))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/7)\/(-12)*10\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 7*g = -5*b - 136740, -5*b = -3*g + 136740. Let d = -957112\/35 - b. What is the common denominator of 43\/70 and d?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -253915087, -253915086, -253915085, -253915084, -253915083, -253915082?\n\"Answer: v - 253915088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -240 - -242. Find the second derivative of -87*q**4 - 868*q**2 + 868*q**2 + z*q - 1 wrt q.\nAnswer: -1044*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 3 - 7. Let j = -0.7 + 0.4. Which is the nearest to -1? (a) -0.5 (b) u (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -692*s - 22110 = 590*s - 338*s + 1267*s for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x - 1. Let a(b) = -6*b**2 + 6*b - 3. Let s = 4504 - 4503. Determine s*a(h) - 6*p(h).\nAnswer: -6*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 426711072 to the nearest integer?\nAnswer: 20657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4094 - 0.5906. What is the fourth biggest value in n, 2, 2\/5, 99?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + sqrt(147)*-3 + -2)**2 + -1.\nAnswer: 56*sqrt(3) + 591","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 7*p - 2*p**2 - 5*p**2 + p**3 + 0 - 4 + p**2. What is c(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -5407619?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91498 and 99308?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*j + 1367 + 1055. Suppose -5*w = 331 - j. Let v(n) = -7*n**2 - 3*n - 5. Let c(x) = 4*x**2 + 2*x + 3. Determine w*v(r) + 5*c(r).\nAnswer: -r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tapt when four letters picked without replacement from ttataaatttttataapatt?\nAnswer: 22\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -405 or -403?\nAnswer: -405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 840.99999892 - 841. Round n to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11606, -11609, -11612, -11615, -11618?\nAnswer: -11621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - x + 16 = 0, -3315 = 4*j - 3*x - 3257 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1344\/25451 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 - -5941?\nAnswer: 5950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 + 13)*(81\/20 - (-28)\/(-35)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11010110001 (base 2) to base 15\nAnswer: -793","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 9*o + 6. Let v be q(2). Let d(c) = -11*c - 12*c + v*c. Let x(r) be the second derivative of -r**3\/2 - r. What is d(x(n))?\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -71 + 74. Let z = 10 - 4. Solve 0 = -t*j + j + z for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 2, 4*p + y - 559 = 0. Does 15 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.03 + -0.23. Let s = r - 2.4. Let p = s - -6.6. Sort p, 5, -5 in increasing order.\nAnswer: -5, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 246 + -234. Suppose -j = 4*s + i, -4*s - 9 = 3*j - 5. Solve p - 4*n = -p - 4, 28 = 4*p + j*n for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, n: 1, o: 2}. Give prob of picking 1 h and 1 o.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 963334 to the power of 1\/2, to the nearest integer?\nAnswer: 981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2012?\nAnswer: 2012","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3033163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*k - 4 - 9, 3*a = -5*k - 19. Let n be (a\/6)\/((-2)\/(-30)). Does 5 divide n\/1 - 1\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-16)\/10)\/(58\/145). Let c be 3\/3 - (-1)\/(-2)*x. Solve h - c*h + 6 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - i + 689, 1363 = d + 3*d - i. Let q(w) = d*w - 9*w**3 - 342*w. Let l be -5 + 4 - (-1 - 2). Let x(h) = -4*h**3. Calculate l*q(v) - 5*x(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 219899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 + 73 - 46207*l**3 - 36.\nAnswer: -46207*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.9639 millilitres in litres?\nAnswer: 0.0919639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 17552.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131056 is divided by 37?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(1\/2)\/p)\/p)**(-1\/28))**(-14\/5)*(((p\/p**5*p)\/p)\/(p*p*p**(1\/6)))\/((p**(-6)\/p)\/(p*p**5)) assuming p is positive.\nAnswer: p**(401\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 w when three letters picked without replacement from {r: 2, n: 1, a: 2, x: 2, w: 2, f: 3}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5120*m = z - 5117*m + 3, 0 = z - 3*m + 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 731499509?\nAnswer: 13, 29, 37, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(165\/(-60) - -2)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 361*a**3 - 3609*a**2 - 6*a - 44. Calculate b(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*h**5 - 5*h + 11*h**5 + 0*h**5 - h wrt h?\nAnswer: 100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wz when two letters picked without replacement from wpwpz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 268 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 6 = 3*h. Let x be (1\/h*3)\/6. Which is the smallest value? (a) x (b) -1\/5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 570432 and 168.\nAnswer: 3993024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -749*r*x - 331*r wrt x?\nAnswer: -749*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -793 + 14*v + 793 + 3*v**2 + 31*v.\nAnswer: 3*v*(v + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 7*t = 6*t + 5, -7 = -5*u + 3*t. Suppose u*s = b + 11325 + 3581, -3*b - 7453 = -s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 8*c**3 - 43*c**4 - 41*c**4 + c + 85*c**4 to y*c**4 + p*c**3 + z + m*c**2 + x*c and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 4 - 3)*(-3589*w - 4036*w - 4976*w + (-w - 2*w + 2*w)*(-2 + 4 - 3)) to s*w + k and give s.\nAnswer: 25200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 11. Suppose -c*m - 23 = 7. Let h = 1 + m. Is h at least as big as -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.3023 and -5.\nAnswer: -6.3023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - 2*g + 26, 0*s + 5*s + 20132*g - 20136*g = 56 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5130 + -2?\nAnswer: 5126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 1\/4*c**4 - c - 3\/2*c**2 - 7 + 2\/3*c**3. Let x(w) = 5*w**3 + 11*w**2 - 16*w - 5. Determine 11*u(s) - 2*x(s).\nAnswer: s**3 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 + -11. Let p = -40 - s. Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*g**3 + 1 + 61*g**3 + 1.\nAnswer: 14*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 14514*b + 4537. Is d(30) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3996060*t**2*x - 3*t**2 + 11*t*x + 29*t - 3*x + 29 wrt t.\nAnswer: -7992120*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2*(204\/(-952) - 26204\/(-14)) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2 + 11*m - 4. Let j be n(-6). Suppose 2*f + j*f = 0. Let y be 8\/(-36) + (-23)\/(-90). Which is smaller: f or y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/457 - -932\/4113. Is -0.7 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 7:16 PM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -238552*q - 4*q**2 + 477107*q - 238555*q.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09195 rounded to three decimal places?\nAnswer: -0.092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 891.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 13 - 16 + 2*x**2 + 3. Let q(f) be the first derivative of -f**2\/2 + 1. Calculate q(p(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*t - 40 = -48*t - 8*k, 3*t + 3*k = 15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*j + 17364886 = -1562801 - 688260. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (5 - 5 - 20)) + -10\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/60)\/(19*4\/456).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*1\/(-5)*(-400)\/120.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n - 23 = 337. Suppose 3*p = 2*z, 2*z = -2*z + p + 10. Suppose 5*t + 39 = f, z*t = -2*t - n. Calculate the highest common factor of 152 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-10)\/3*(270\/(-20))\/(-9)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 390*j - 474*j = 1958*j + 4822 + 62564 for j.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*i + 515 + 185 = -73*i. Sort 4\/5, i, -1.27.\nAnswer: i, -1.27, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*x + 94*x + 1474 - 299 + 2694 = 0 for x.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 24 + 4. Let g = -17 + v. Let b = g + 23. Is b a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 10:39 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/6)\/(2\/(-24)) - (-2639 - 12). Is y at most as big as 2644?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 86400 and 45.\nAnswer: 86400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 53943059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-108193)\/(-6834))\/(0 - 3). Let o = -24981 + 85360075\/3417. Let p = b + o. Calculate the common denominator of 63\/10 and p.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r + 25*r = -5*v + 811269, -2*v + r + 324495 = 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*o - 1 + 3, -5*o + 16 = -2*u. Let y = -9 - -13. Let n be y + 4\/((-60)\/63). Which is the smallest value? (a) n (b) o (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 240 (base 6) to base 7.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 900\/2800 + -2 + 20\/14.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -231 + (2385 - 2285)?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*d**2 + 26*d - 16*d + 4 - 12*d to the form m*d + g*d**2 + n and give g.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318*m + 332*m = 70 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 9*g**2 - 9*g + 8. Let n be 8*1 + 0\/(-1). Let o be p(n). List the prime factors of o + 0 - (-9 - 2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10303010310 (base 4) to base 3\nAnswer: -2100220100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - 3*h + 3. Let v(p) = -9*p**3 + p. Let x be v(h). Round x to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 28740 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4773 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h. Suppose -5 = 4*v + 7. Let t = -12 - -22. Let m(l) = l**2 - 3*l + 3. Let j(b) = 4*b**2 - 10*b + 10. Let a(q) = t*m(q) + v*j(q). Give a(u(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-2*(-1)\/(-4)*-18).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/264 and (-8)\/36*1 + (-19)\/(-18).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 j when three letters picked without replacement from {e: 2, j: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 337531945?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -969489*f**3*r - 3*f**2 + 152*f*r + 2*r - 19 wrt f?\nAnswer: -5816934*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*i**5 - 91938 + 3*i**6 - 88*i**3 + 91938 - 479*i**2 + 0*i**5 wrt i.\nAnswer: 360*i**3 - 528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 7*k - 80. Solve -s - 3*s - k = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245629618.\nAnswer: 2, 13, 521, 18133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1969147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 - 8*i + 12. Let j be f(5). Suppose -3*m = -5*m - j. What is m rounded to zero dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40*h**4 - 2*h + 8*h**4 + 3*h**3 + 12 - 48 wrt h?\nAnswer: -384*h**2 + 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13011 is divided by 251.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-1\/66)*u\/(u**6*u))**(-1))**8)**(2\/131) assuming u is positive.\nAnswer: u**(3176\/4323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 790.68051 + -794.58. Let q = f - -3.9. Round q to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1631 divided by 10.\nAnswer: 1631\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(171) + -5*(-1 + sqrt(171)) + sqrt(171))*-1)**2 - (sqrt(19) + sqrt(2299) + sqrt(2299) + -1 + sqrt(1900)*-1 + (sqrt(19) + -5*2*sqrt(19))*4).\nAnswer: -3217*sqrt(19) + 56305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*i + 42*i = 16. Put i, -2, -3 in ascending order.\nAnswer: i, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 11*p = -39 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1410 + -1409.999931772. What is c rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y**2 - 2*y**2 + 17*y**2 - 12*y**2 - y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 34*l**2 - 2*l - 2. Let h be ((-2)\/8)\/((-3)\/(-12)). Let d be w(h). Suppose 4*x + 2*y - d = -0*x, 16 = x - y. Is 10 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, a: 1, z: 2, v: 9}. Give prob of sequence zjav.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/292)\/(((-13845)\/(-156))\/(-71))?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -16. Let q = h + 0. Let n = 1 - 1. Which is the closest to n? (a) q (b) 4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u*u\/u**(-1\/5))\/u*u\/(u**5*u))\/((u*u**(-6))\/u*u\/(u**(1\/9)*u)))**(-20) assuming u is positive.\nAnswer: u**(-596\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 16*q - 4. Calculate t(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/60 - (-5 + 130\/25))\/(-1). Solve l = b - 5*q - 18, -11 + 5 = -b + 2*q for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -189704*3.\nAnswer: -569112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 44, -31, 1\/7, -1.2, -4, -2 in ascending order.\nAnswer: -31, -5, -4, -2, -1.2, 1\/7, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 8*o**2 + 3*o - 12. Let i be x(8). Let f = 9 + -17. Let z = f + i. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3 + 0 = 0. Let u be (16591*-10 - -8) + b + 1. Round u to the nearest ten thousand.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 5*x + 28 - 10, 16 = 2*w - 4*x. Does w = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11227*d - 38987*d - 17144*d.\nAnswer: -67358*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 33. Let m = o + 26. What is the tens digit of 1136\/12 + m\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6820 or 9319?\nAnswer: 9319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*z**4 + 14*z**3 - 7*z**2 - 11*z.\nAnswer: -72*z + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*s + 270 = 72*s. Put -0.3, s, -15, -7, 2\/7 in increasing order.\nAnswer: -15, -7, s, -0.3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 66*h - 42. Let l be t(-7). Let k = l - -922. What are the prime factors of k?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 538*s**2 - 273*s**2 - 3444*s**4 + 1580*s**2 + 2990*s**2 + 1375*s**2 wrt s.\nAnswer: -82656*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -q**4\/3 + 17*q**3\/6 - 22*q**2. Let o(p) = -3*p + 6. What is -6*h(g) + 17*o(g)?\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 4*l - 72, 339*l - 338*l + 72 = 5*i. Solve t = i*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 113280074830 to the nearest 1000000.\nAnswer: 113280000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 48\/(-5)*(-25)\/(-5)*-3. Suppose 581 = g + l. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35284 = g - 2*w + 30414, 2*g + 2*w + 131402 = 0. Round g to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -464 + 1187. Suppose -4*k + 4 = 0, -b = -2*y + k - 4920. Let i = y + 3375. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 10. Let c = 7 - x. What is the least common multiple of c and (-3 + -1)\/(4\/16*-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of 311*u**6\/15 - 4525*u**2\/2 + 1747*u. What is the derivative of i(k) wrt k?\nAnswer: 2488*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21.586 + 21.586. What is the closest to 2 in g, -108, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 9*r**2 - 9*r - 2. Let t be s(-8). Let c = t + -3. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56.61338 rounded to one dp?\nAnswer: -56.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(245) + 0 + 4 + sqrt(245) + 0 + sqrt(245) - (sqrt(245) + 3 + 0 + 1))**2.\nAnswer: 2205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 24 = -8. Suppose -3*d - c - 5 = 3*c, d = 3*c + 7. Let f be (8\/10)\/(d\/25). What is the greatest common divisor of q and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-50)\/28 + 18\/12. Let m = 3.2 + -3. Which is smaller: d or m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 5*n**4 - 3*n**3 - 2*n**2 + 4. Let z(o) = -6*o**4 + 3*o**3 + 3*o**2 - 5. Let y(r) = 5*p(r) + 4*z(r). Factor y(v).\nAnswer: v**2*(v - 2)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 + ((-63)\/6)\/(-3))*-132. What is the highest common factor of 30 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 22 + 4*d**2)*(-2*d - d + d)*(313 - 313 + 40*d) + 2*d**4 + 0*d**4 - d**4.\nAnswer: -319*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 2*u + 5, -5*y + 0*u + u - 5 = 0. Sort y, 2, -6, 4.\nAnswer: -6, y, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 55714*p - 19. Let c(v) = -24*v + 2. Calculate c(b(z)).\nAnswer: -1337136*z + 458","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50 - 32. Let r = -110 - -120. Calculate the least common multiple of w and r.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 632 and 67.\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 30 and 1106.\nAnswer: 33180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -20348, -81252, -182734, -324788, -507408, -730588, -994322?\n\"Answer: p**3 - 20295*p**2 - 26*p - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkmkkkkkkkkk. Give prob of picking 3 k and 1 m.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 2. Let f be 4\/1*(-3)\/21. Which is the biggest value? (a) -0.5 (b) f (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -60\/17, 445, 50, 0.5?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*x**2 + 2669464*x - 2669464*x.\nAnswer: 29*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -815 - -1162. Let c = l + -228. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 700611*b**2 + 53948*b**2 + 0.\nAnswer: 754559*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 24 = -4. Let d(o) = o**3 - 3*o**2 - 3*o - 3. Let j be d(f). Let t be (-5 + 8 - 17)\/(j\/(-5)). What is the greatest common factor of 10 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2124315201 - 3?\nAnswer: 2124315154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 254, -157, 0.2, -1 in descending order.\nAnswer: 254, 0.2, -1, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzdyk. Give prob of sequence dp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.3, -5, 793?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/3)*j*j**14*(j**2\/j)\/j*j*j**(1\/3) assuming j is positive.\nAnswer: j**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/2 - (9 + -11). Let b(g) = 39*g. Let u be b(2). Let a be (-1)\/(x + (-159)\/u). Solve 0 = 4*p - a + 6 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l + 6. Let b(p) = -3*p + 11. Let x(d) = 3*b(d) - 5*h(d). Let k be x(-3). Suppose 4*z - 20 = -k*z. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 572 and 20878.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5558085 + -3?\nAnswer: -5558088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/139 or -19121?\nAnswer: 3\/139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c - 15. Let b be d(-19). Suppose 3*s = -b*f - 4, -s + 4 = -2*s. Find r, given that 4 - 3*r**f - 8*r - 1 + r**2 - 9 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2 + 2*c - 1 - 3*c - 4. Let r = 13 - 19. Give g(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2078 or 0.054683?\nAnswer: 0.054683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1332 and 3330.\nAnswer: 6660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86923 - 86923 + 2*c**3 + 1058*c - 531*c - 527*c.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2913001*a. Let w(i) = -13*i. Calculate w(q(m)).\nAnswer: -37869013*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9, -37326, 0.118?\nAnswer: -37326","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3473, -3482, -3491, -3494, -3485, -3458, -3407?\nAnswer: -3326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - p = 5*n + 3, 6 = 2*n - 2*p. Solve 5*o + 6 = -2*g - n*g, -4*g + 16 = -4*o for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + -2*sqrt(85)*-5 + sqrt(85))\/((sqrt(20)\/sqrt(2))\/sqrt(2)) - (sqrt(119)\/(sqrt(7)*3) - 1*sqrt(1377)).\nAnswer: 62*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(2793))\/(sqrt(300) + sqrt(3)).\nAnswer: 28*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25\/7 in -3\/7, 0.07, 0.2, 0.1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, b: 2, h: 5, d: 4}. What is prob of picking 1 b and 2 h?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.74 + 0.74. Let w = 66 - 66.09. Which is the third smallest value? (a) w (b) 6\/11 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1485*p**3 + 2385*p**2 - 1425031*p wrt p?\nAnswer: 8910*p + 4770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -19. Suppose -g*n + 636 - 216 = 0. Is n a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 - -100100010?\nAnswer: 100011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -400 - -265?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 152618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 3 - 9 = 0. Let k(w) = -10*w + 2. Let t be k(f). What is the highest common factor of t and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2 + 6*d + 9. Let u(o) = -2*o**2 + 5*o + 8. Determine 3*m(i) - 4*u(i).\nAnswer: 2*i**2 - 2*i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by -14.\nAnswer: 19\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 149*a**5 - 25*a**3 + 527*a + 5?\nAnswer: 2980*a**3 - 150*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33685877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from stamsmmsmxms. What is prob of sequence mtm?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 5. Suppose -3 = 2*l + r. Let x be 1*(-2)\/3*-6. Put l, -4, x in descending order.\nAnswer: x, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/50 in -1\/2, 0.2, -10, 21, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 3\/1526?\nAnswer: 3\/1526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 15*v - 12. Let y be q(-11). Let m be 3 - 1 - y\/12. Which is the closest to 1\/2? (a) 1\/8 (b) 3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -631 + 633. Solve -2*y - 2 = q*p - 6*p, 2*y - 10 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96580584 and 656.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + d = 2, 0*t - 16 = -2*t + 3*d. Suppose 0 = -h - t*x - 4, 0 = 3*h - 4*x - 8. Suppose 4*m + 4*g = 128 + 92, 4*m - 2*g - 226 = h. Does 7 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f + 7. Let b(p) = 3*p - 6. Let n(a) = 3*b(a) + 4*w(a). Let i be n(-7). Let r = 7 - i. Does 2 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - -645?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 11:45 AM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6289, 6290, 6291?\nAnswer: 6292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -22*a + 9. Determine c(-4).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-54) - 2\/(-12)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 6*sqrt(175) + sqrt(175) - sqrt(175))*-6 + 1.\nAnswer: -180*sqrt(7) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 4*d + 3. Let s be (18\/(-27))\/(1\/(-3)). Let w be v(s). Solve -f = w*f - 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -25?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (9 - 8)*7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 20 = 5*z, 8*z = -4*a + 7*z + 23. Solve -2*b - 5 - a = 0, l - 2*b - 11 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1134 + 2545 + 1121 - 1014 + 1013)*(-2*a + 0*a + a).\nAnswer: -4799*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1345740 and 16.\nAnswer: 5382960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201106.\nAnswer: 2, 193, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*h**2 - 88*h**2 - 51*h**2 - 14*h**2.\nAnswer: -136*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34536 + 21395. Let a = -6656 - y. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23809761 a multiple of 1587?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47036 is divided by 2612.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 40104?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9377\/174 - 50\/29. Do 51 and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39510, 79, 33 in increasing order.\nAnswer: -39510, 33, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -726 in 3, -21.3, -4?\nAnswer: -21.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - m - 10 = 0. Let o = m - -2. Suppose -2*w - w = o. Solve w = -2*x - 0*x + 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 364 and ((-36)\/8)\/(-3)*(-12)\/36*-14?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64564 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60352 by -291.\nAnswer: 60352\/291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 130491*z + 414402*z.\nAnswer: 283911*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 45*f. Let g(y) = -1421*y + 1. Calculate g(k(u)).\nAnswer: -1421*u**2 + 63945*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 95?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/((-297)\/(-126))*(-78)\/91?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -77027042, -77027038, -77027034, -77027030, -77027026?\n\"Answer: 4*a - 77027046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.45 + 0.44. Let s = -0.010008 - l. What is s rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 5*f - 5, 5*o + f + f = 33. Suppose 3*k + o = -4. Let s(c) = 5*c - 1. Determine s(k).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 4 (b) -4 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 11) in base 4?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2736) - (sqrt(2736) + 3) - sqrt(2736)) + -3)*6*-2)**2.\nAnswer: 20736*sqrt(19) + 399168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 785*b - 262*b - 266*b - 257*b - 39*b**3.\nAnswer: -39*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-8)\/(-10))\/(3*5\/(-225))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 - 58\/(290\/(-285)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -249 + 245 - ((-1 - 0 - -1) + 4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -71656\nAnswer: -3\/71656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(3 - -15))\/(-2 - -1). Let v = -0.1 - -0.2. Let m = -2.21 + 0.21. Which is the nearest to v? (a) m (b) g (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 482 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 210\/149, 2, -0.0768?\nAnswer: -0.0768","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 66 (b) -0.1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -331126036 - -4?\nAnswer: -331126032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 56 + -8. Let b = 33 - 21. What is the highest common divisor of b and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 1523.\nAnswer: -304.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/669513 and -37\/4875.\nAnswer: 83689125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 11*g + 5. Let u(v) be the third derivative of -v**5\/30 - 7*v**4\/4 - 17*v**3\/3 + 54*v**2. Let h be u(-20). Calculate z(h).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17820892, -35641780, -53462668, -71283556, -89104444?\nAnswer: -106925332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 242136 + 3?\nAnswer: 242140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + r. Let b be (-1)\/((-243)\/48 + 1 + 4). Solve r = -4*m + 5*u + b, 5*m - 2*u = -7*u - 25 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 4*v**2 - 6*v + 14. Let w(g) be the first derivative of -g**2\/2 - 2*g + 15. Let z(n) = u(n) + 2*w(n). Determine z(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 o when two letters picked without replacement from ymhmomohm.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 5*z - 6. Let i be x(-5). Let y(o) = -o**2 - o + 4. Let p be y(4). What is the units digit of i\/(-4)*p\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 49, 0.2, -7 in ascending order.\nAnswer: -7, 0.2, 1\/3, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 58711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 48147795 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.01, 0, -1999, 4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 11, t: 8, l: 1}. Give prob of picking 1 t, 2 j, and 1 l.\nAnswer: 88\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.1 + -0.6. Let i = d + -0.499992. What is i rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11232 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7, -14, -23, -34, -47, -62?\n\"Answer: -f**2 - 4*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in minutes?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 p when three letters picked without replacement from pifpppddpdfbppbppf.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**6)\/t**(-23))**(1\/4))**(2\/43) assuming t is positive.\nAnswer: t**(9\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3*u - 12*u + 5*u - 11*u.\nAnswer: -21*u + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 29659 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*m**3 - 62*m**3 + 3*m**4 - 1 - m + m**2 + 105*m**3 in the form o*m + b*m**2 + l*m**4 + p + a*m**3 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*v + 9*v, -2*t = -3*v - 47. Solve -3*f - h - 4 = 0, 0*h + t = -3*f + 5*h for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, z: 1, q: 1, x: 1, e: 1, y: 2}. What is prob of picking 1 x, 1 y, and 1 e?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3605188, 7210377, 10815566?\nAnswer: 14420755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + (-1 + -7)\/(210\/(-79)). Let u(j) be the third derivative of -1\/210*j**5 + 0*j**4 + 0*j + i*j**6 - j**2 + 0*j**3 + 0. Solve u(x) = 0 for x.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3 = 9. Let p(b) = -b**2 + 4*b + 3. Let z be p(w). Factor -7\/3*v**2 + 5*v**z + 1\/3*v - 13\/3*v**4 + 4\/3*v**5 + 0.\nAnswer: v*(v - 1)**3*(4*v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 35 = -9. Let h = 36 - p. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of 377*c**6\/15 - 1519*c**3\/6 + 878*c. What is the second derivative of h(j) wrt j?\nAnswer: 9048*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67*s + 11*s - 2 + 28*s to the form b*s + j and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34.7 or 95414?\nAnswer: 95414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 28*j + 68. Let h be f(25). Let z(t) = -t**2 - 15*t - 45. Let q be z(h). Solve 2*r + r - 6 = -2*k, q = -r - 5*k for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1295.01 - 0.664478\nAnswer: -1295.674478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1366475 is divided by 269.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 250274025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dtgxbpxddgdt. Give prob of picking 2 d and 1 g.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 6. Let x(u) = -u + 7. Let t be x(j). Let p = 70 - t. Does 16 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 155, -6\/7 in decreasing order.\nAnswer: 155, -6\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1 + 1*sqrt(192) + -5)*5*-1)**2.\nAnswer: -2400*sqrt(3) + 5700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -5*i - 2. Let a(v) = -2*v**2 - 2*v + 2. Let l be a(-2). Let r be y(l). Suppose z - 7 = r. Solve -2*t = -5*t + z for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of o**5\/30 - o**4\/8 + 13*o**3\/6 + 266*o**2. Calculate the remainder when 96 is divided by n(4).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 10*j**2 + 12. Let q = 6 - 16. Let t be s(q). Let a = -8 + t. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 7752*b**2 + 340*b + 170. Let t(y) = 136*y**2 + 6*y + 3. Calculate -3*k(l) + 170*t(l).\nAnswer: -136*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 1)*(19 + 4*z - 19) - 793 + 793 - 32*z + 20 - 4 + 2*z - 2 + (-2*z - 2 + 2)*(2 - 1 + 1) in the form l + c*z and give l.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**3\/3 + 2132*l**2 - 7722863*l\/3 - 2576420 = 0. Calculate l.\nAnswer: -1, 1617, 4780","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -316 from 0.18.\nAnswer: 316.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40893205 and 61939?\nAnswer: 2693","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 162*u - 1252. Calculate the remainder when 147 is divided by o(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.63 times -187?\nAnswer: 117.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5, -8, -29, -58, -95?\n\"Answer: -4*n**2 - n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n + 12. Let w = 26 + -26. Suppose o + 5 = -w*o. Let i be m(o). What is the highest common factor of 17 and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 5*y**2 - 2*y - 1. Suppose m = -4*o + 5 - 3, 4 = 2*m + 2*o. Suppose -3 = m*x - 49. Calculate the remainder when x is divided by n(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 7*d. Let b = -11783\/12 + 982. Let q(c) be the third derivative of b*c**4 + 3*c**2 + 0 + 0*c**3 + 0*c. Give q(s(j)).\nAnswer: 14*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2*1)\/((-1)\/(-2)). Suppose -j*y + 19 = -3*y. List the prime factors of y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*x + 54 + 19 = -137 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7 and -0.066051094?\nAnswer: 0.0462357658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 6*b**2 - 216*b + 34. Calculate g(38).\nAnswer: 490","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 683402 is divided by 683265?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -1002323?\nAnswer: -1002332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 4*q - 14 = 0, 0*q = 5*y + 3*q - 7. Suppose -3*t + 5*l - 27 = 0, 0 = -3*l + 4 + 5. Is y\/(1\/((-38)\/t)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, -3\/5, -2\/43, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12464 greater than or equal to -178?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.85383 - -0.07157. Round g to two dps.\nAnswer: 0.93","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65 + 64. Let s be (-2 - 6)\/((-1)\/3 - u). Calculate the common denominator of (-83 - 0)*(-2)\/s and -41\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 2277089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-26)\/26 - (-3 + -1). Suppose -5*b - n = -0*b - 1395, p*b + 3*n = 837. List the prime factors of b.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*s - 6*s + 16 = 0, 0 = 3*r + 4*s - 14. Suppose r*z - 50 = -3*z. Let y = z + -2. Solve y = 2*u, -2*q + u = 3*q + 29 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3*m + 98 = 1185, 10 = 2*m. Let g = 455 - l. What is the highest common factor of 17 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 + -1.5. Let m = -1.800007 - v. Round m to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3)\/((-189)\/14) - 7990\/(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 408 is divided by 142.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.61 + -0.66. What is f rounded to 1 decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 117 = -107 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1111 is divided by 60.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**5 + j**4 - j**4 + (j**3 - j**5 - j**3)*(1 + 0 - 3) - 2 + j**5 + 2 + 2*j**5 - 3*j**5 - 4*j**5.\nAnswer: -5*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(120)*-4)\/sqrt(12))\/((sqrt(24)*-2 + sqrt(24))\/sqrt(12)*6).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*r**3 + 0*r**3 - 2 + 6*r**3 + 2*r**3 - 10*r to y*r**2 + f*r + d*r**3 + a and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(3\/8)*(-11451)\/(-76340). Factor c*f**2 + 6\/5 + 8\/5*f.\nAnswer: 2*(f + 1)*(f + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -8*i**2 - 1. Let r(u) = -20*u**2 + 1. Determine o(r(c)).\nAnswer: -3200*c**4 + 320*c**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g**5\/9 + 314*g**4 + 1315202*g**3\/9 - 703654*g**2\/3 + 265064*g\/9 + 175960\/3 = 0.\nAnswer: -249, -2\/5, 1, 530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1690?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 187503623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27096 is divided by 13543.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 12:43 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00013438054 to 7 dps.\nAnswer: 0.0001344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 180061?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 + 86 - 25 + 80*s - 23 - 28 as h*s + j and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 29 = 4*t, -9*f - 5*t + 25 = -5*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 76127 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16749895 by 3155.\nAnswer: 5309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 9 = 9*z. What is the lowest common multiple of z\/2*2\/(-3) and 4\/10 + (-66)\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of p**5\/20 + p**3\/6 - p**2\/2 - 28*p - 2. Let v(t) = 7*t**2 + t - 1. Determine h(x) - v(x).\nAnswer: x**3 - 7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u - 7*u + 5*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -4036?\nAnswer: -4031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 60, -3, 19794?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 804356 and 803068.\nAnswer: 1003031932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -47742 + 1?\nAnswer: -47741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 8 = 2*m, -5*m + n + 28 = 14. Solve -m*r + 18 = 5*g, 0 = -2*r - 3*g + 7*g - 10 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 283468 and 425202.\nAnswer: 850404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 133, 136, 137, 136?\n\"Answer: -c**2 + 6*c + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 133\/(-38)*8\/(-14). What is the first derivative of -4*h**3 + 96 + 125 + 2*h**3 - 84 - 21*h**z wrt h?\nAnswer: -6*h**2 - 42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 d when three letters picked without replacement from oodddo?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 6:06 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12030769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**4\/2 - 813*x**3\/2 - 4404*x**2 + 5626*x + 9624 = 0 for x.\nAnswer: -802, -12, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -130*x - 241. Calculate the remainder when 42 is divided by s(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + 6 + -9 - 0) + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 1:21 PM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s + 16*s = 1075317. Suppose 8*c = -115239 + s. Suppose 26*r = 27*r - c. What is r rounded to the nearest one thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -65, -137, -215, -299?\n\"Answer: -3*m**2 - 63*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -94 - -132. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 5*t - 11, t + 183*m - 189*m = 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -613?\nAnswer: -613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 13) in base 6?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4651635724 - -5?\nAnswer: -4651635717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and -0.007.\nAnswer: 0.193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iqqq when four letters picked without replacement from iiqiiiqiiiqiiqiqiqi?\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -o**5\/20 - 35*o**4\/12 - 203*o**2\/2 - 57*o + 1. What is the first derivative of d(j) wrt j?\nAnswer: -3*j**2 - 70*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/(-75))\/((-6)\/(-15)). Let t(v) = v**2 - 10*v - 5. Let w be t(10). What is the nearest to r in w, -4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3772641 minutes in nanoseconds?\nAnswer: 22635846000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125017?\nAnswer: 125017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2776 divided by -164900.\nAnswer: 694\/41225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21787*f*l**3 - 99*f*l**2 - 11*f wrt l?\nAnswer: 130722*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(396) - (sqrt(396) + 2 + -4))*3 - ((sqrt(396) - (sqrt(396) + sqrt(396) + 2 + 4)) + -2))*-5)**2.\nAnswer: 4200*sqrt(11) + 14800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11834 + -0.4.\nAnswer: 11833.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012021 + -11?\nAnswer: -1012102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.81 + 0.19. Let s = -14 - -19. Put k, s, -1 in increasing order.\nAnswer: -1, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -97254 by -30.\nAnswer: 16209\/5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Solve q + 4 = 5*a, 2*a + 27*q = 22*q - 20 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of p**5\/60 + p**4\/6 - 3*p**3\/2 - p**2 + 16*p. What is y(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6812)\/(-672) - 1) + 2\/3. Let p = y + -75\/8. Factor 0 - 3\/7*s**4 + 3\/7*s**3 + 3\/7*s**2 - p*s.\nAnswer: -3*s*(s - 1)**2*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -137.2, 1.02, 132 in decreasing order.\nAnswer: 132, 1.02, -137.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(228)*2 - sqrt(228))\/(1*sqrt(432) + sqrt(432)).\nAnswer: sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*m - 6 = -39*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i - 37 = 249*f - 253*f + 3, -3*f = -2*i - 25 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 45. Let k = 49 - n. Suppose k*m - 282 = -4*l, 3*l + 2*m - 141 = 67. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14697 + -14690. Let g(u) be the third derivative of 1\/3*u**6 + 2\/35*u**d + 0 + u**4 + 4\/5*u**5 + 2\/3*u**3 + 18*u**2 + 0*u. Factor g(z).\nAnswer: 4*(z + 1)**3*(3*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -366.2 - -366.5. What is the closest to -1\/2 in -1, 1\/13, u, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/6 - 0\/7)\/(2\/(-480)). Solve 15*l = 35*l + w for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59694.03 millennia in years?\nAnswer: 59694030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2767.\nAnswer: 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3741407 or 41155480\/11?\nAnswer: 41155480\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 266970.6 micrometers in meters?\nAnswer: 0.2669706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3032 - 1629. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53704487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (6 + -13 + -2) - (0 + -9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.01 + -0.01. Suppose g = -2, -4*f = -13*g + 8*g - 14. Put n, f, 1\/9 in descending order.\nAnswer: n, f, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -2, 0.421?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -458 - -900. Let x = k - 107. Suppose x = 4*g + z - 6*z, -429 = -5*g - 4*z. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/7 + 22*w**2 - 1916*w\/7 + 1760\/7.\nAnswer: 2*(w - 10)*(w - 1)*(w + 88)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(1\/10)*u*u*u**(1\/3))**(-2\/37))**33 assuming u is positive.\nAnswer: u**(-1133\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 5:20 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(931) + sqrt(931) + 1 + 5))**2.\nAnswer: 1512*sqrt(19) + 33840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245312.\nAnswer: 2, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/1)\/((-64)\/(-256))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -928, -950, -962, -958, -932, -878, -790, -662?\n\"Answer: z**3 - z**2 - 26*z - 902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/2 - (-21)\/2. Suppose v = -4*v + n. What are the prime factors of v\/(-6) + 246\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 9*g**2 + 11. What is h(9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a microgram in nanograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1174 a factor of 235347084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/(1 + 1100\/(-1095)).\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 426531 and 315.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4710*s**6 + 3*s**4 + 15*s**3 - 88410*s**2 - 1?\nAnswer: -565200*s**3 + 72*s + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3010 - -543?\nAnswer: -2134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -0.00077?\nAnswer: -0.00077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 133635, 133638, 133651, 133680, 133731, 133810, 133923?\n\"Answer: a**3 - a**2 - a + 133636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n**0\/n)))**(-5\/3)\/((n**(-1)*n)\/n*n*n*n)**8 assuming n is positive.\nAnswer: n**(-43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 153*h**4 + 6*h**3 + 44724*h**2 - 1251343*h wrt h.\nAnswer: 1836*h**2 + 36*h + 89448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of y**2\/2 + y - 1127. Suppose -r + 4*d - 6 - 13 = 0, -5*r = 3*d + 3. Determine s(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135299.\nAnswer: 19, 7121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*i**3 - 4*i + i + 3*i**2 - 5*i**3 in the form r + y*i**3 + u*i + n*i**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211 + 70 = 515*q + 5431 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -5984.6864?\nAnswer: 11969.3728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 567, 570, 583, 612, 663, 742, 855, 1008?\nAnswer: 1207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 4*l = 5*b - 80, -10 = -2*l. Let i be ((-21)\/12 + 2)*b. What are the prime factors of (-231)\/(-6) + i\/2?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnqnnhq. What is prob of sequence nh?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-69)\/207 - (-605)\/(-330)*(-2)\/2.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dhhh when four letters picked without replacement from {h: 4, d: 7, f: 4}.\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1093 + 653?\nAnswer: 1716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 37 = 5*q, q - 25*p + 30*p = 3. Calculate the lowest common multiple of 86 and q.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11546295, -11546296, -11546297, -11546298, -11546299, -11546300?\nAnswer: -11546301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2471 times -2.6?\nAnswer: -6424.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2877 to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d - 191. Let z be b(0). Suppose -5*r + 2*i - 7 = 0, 10*r - 12*r - 4*i - 22 = 0. Let l be -3 + z\/189*r. Are l and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25859, -25866, -25887, -25928, -25995?\nAnswer: -26094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 less than -1647?\nAnswer: -1646.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-12314)\/13755 + ((-5)\/25)\/((-2)\/8)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*l**3 - 4*l**3 - 11*l**3 - 4*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 0 + 3*w + w**3 + w**2 + 1 + 0 - 2*w. Let d be p(-2). Which is the nearest to 2? (a) -3\/8 (b) d (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 10:31 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-1499))\/((-22)\/(-12) - 2). Let x = 130437\/5996 + p. What is the common denominator of (-1 + 3)\/(-14)*53 and x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-16))\/((-9)\/(-288)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2234531 (base 9) in base 5?\nAnswer: 302012022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + 1.8. Which is the second biggest value? (a) 3 (b) g (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 193*y - 196*y - 27, -3*p = -5*y - 13 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 925*d = -921*d - 61632, -3*m - 4*d + 46232 = 0. List the prime factors of m.\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) 3 (b) 120.2 (c) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5\/4, 9, 0.2, 5, -7, 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27064*v + 12 = -27068*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46926 = 87*q + 47796 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 20, -1\/2.\nAnswer: -1\/2, -0.4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 44 = 4*i, 0 = -l - 20*i + 450 - 646 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1719 + 966. Let z = h - -818. What is the greatest common factor of 195 and z?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 - -16. Is (-1300)\/x + 5\/15 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 3*d**2 - d - 3. Let v(u) = 3*u. Let q be v(-1). Let p be y(q). What is h in 2\/5*h + p - 4\/5*h**2 + 4\/5*h**4 - 2\/5*h**5 + 0*h**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180\/162*(-9)\/(-12)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -237*f - 1038. What is t(-3)?\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3 = 2*v - 0, -2*v - 8 = 0. Let t = -112 + 118. Let b(u) = u**2 - 8*u + 8. Let n be b(t). Sort i, n, -19 in increasing order.\nAnswer: -19, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 11*q**2 + 1. Let u be s(1). Solve 3*d + 0*d = -u for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + sqrt(180)*1 - sqrt(20))\/sqrt(4) + 5*(sqrt(60)\/(sqrt(12)*1) + sqrt(5)).\nAnswer: 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 o when four letters picked without replacement from {p: 1, s: 7, o: 11}.\nAnswer: 385\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -14*z + 3 + 26*z - 91*z. Let b be o(-1). What are the prime factors of (b\/(-3))\/(16\/(-48))?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-441*j + 2048 - 2048)*(3 - 3 - 2*j**3).\nAnswer: 882*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 4*d**2 - 2*d**2 - 6*d**2 - d**2. Let i(u) be the first derivative of -3 + 0*u - 3\/2*u**2. Calculate s(i(j)).\nAnswer: -45*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 429 - 431. What is the closest to -2\/3 in 1\/6, 0.1, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4.381912 years?\nAnswer: 52.582944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i**2*m*p*z - 22*i**2*p*z + i**2*z - i*m*z + m*z - 13*p - 1217 wrt p.\nAnswer: 2*i**2*m*z - 22*i**2*z - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s - 5 = -390. Suppose -5*x = -s + 20. Which is the closest to x? (a) -1\/11 (b) 1\/4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/((-315)\/150))\/(4\/18)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -2 (b) 1 (c) 7.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -163 divided by 17?\nAnswer: -163\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1235 by -2159.\nAnswer: -1235\/2159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 3*x. Let w be r(-3). Suppose -2*f - 3*f + 15 = w, -4 = 4*d - 4*f. Let j be (d - 0)*10\/4. Calculate the greatest common factor of j and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1354870851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 146\/(-4) - (-9)\/6. Let p be (-40)\/k*-2 - (-6)\/21. Does 15 divide (7 + 935\/(-15))*9\/p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (h**2 + 0*h**2 - 4*h**2)*(-6*h**2 + 2*h**2 - h + 2*h**2) - 2 - h**4 + 2 as w*h**4 + j*h**2 + b*h + s + t*h**3 and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -9*m + 70. Let f be l(6). Is (-264)\/f*(-66)\/9 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -545746 + 545746 + 163*y.\nAnswer: 163*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v**2 + 6*v - 5. Let m(q) = 8*q**2 + 11*q - 9. Let d(z) = -6*m(z) + 11*r(z). Suppose 5*l = 25, 4*k - 4*l - 3 + 19 = 0. Determine d(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 525?\nAnswer: -2625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6655) + (sqrt(6655) - -1*sqrt(6655)*1 - sqrt(6655)))*-6)\/((3*sqrt(240)\/sqrt(4))\/(-2*sqrt(1200))) + 4.\nAnswer: 4 + 880*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4739945789 + 4739943859.000937. Let x = g + 1930. Round x to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 13*u**3 - 22*u**2 - 34*u - 76. Let l be d(18). Round l to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*w**4 + 2*w**3 - 1487*w**2 + 151442 wrt w?\nAnswer: -12*w**3 + 6*w**2 - 2974*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 7*a**2 - 5*a + 1. Let y be h(5). Let s = 2378 + -78458\/33. What is the common denominator of 4\/y - 7734\/(-936) and s?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5905 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -4. Suppose -208 = -13*p + j*p. List the prime factors of p.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 36 = -34. Let m be (-4)\/k - 46\/(-14). Let -g**3 - 4*g + m*g + 2*g**3 + 0*g**3 = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16665 * -51\nAnswer: 849915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 6*r + 107881 = 3*g, -2*g = -5*r + 134857. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 take away 2.20016?\nAnswer: -13.20016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314*r + 49000 = -728*r - 358*r for r.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 4:18 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -t - 39, -2*t - 10558 + 10535 = b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1340 = 5*t - 1380. Solve t = 42*d - 34*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -94*u**3 + 73*u**2 wrt u.\nAnswer: -564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021697 to the power of 1\/2, to the nearest integer?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 411 - b0d4?\nAnswer: -abc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 84512*s + 8207083. Give g(97).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -671 - -674. Solve 2*f + d*g + 13 = 0, -5*f + 10*f = 5*g - 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.01 - -0.01. Let b = -1.9 + -0.9. Let r = b + 4.8. Is f greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 8, -1\/841, -3.\nAnswer: -3, -2, -1\/841, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58, -5, -0.08, 34.\nAnswer: -58, -5, -0.08, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/1298823 and -41\/24?\nAnswer: 10390584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14587*b**4*w + 7*b**3*w + b**3 - 74*b**2*w - 4*b**2 - 67 wrt b?\nAnswer: -350088*b*w + 42*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -60.49 or -161074?\nAnswer: -60.49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*r**(2\/9))\/(r\/r**(1\/4)))\/(r**(-2\/15)*((r\/r**(-5\/2)*r)\/r)\/r))\/(r**(2\/19)\/(r*r**7\/r*r))**(-1\/21) assuming r is positive.\nAnswer: r**(-30413\/23940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10354094?\nAnswer: 2, 23, 225089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9346 = -1203*r - 1611*r + 18794 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 30285.7 centuries?\nAnswer: 36342840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 43533 + 2?\nAnswer: 43535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -j + 3*x, 2*x + 6 = -4*j + 3*j. Suppose j*m = -2*f + 3*f - 251, 0 = m. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 228*-89\nAnswer: -20292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4)\/((x*x**4\/x*x)\/x))**(-2\/11) assuming x is positive.\nAnswer: x**(16\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 4*k + 2*h = -36, 0 = -4*k - 5*h + 81. Suppose -3*b = -16 + k. Let g(o) = -o**3 + 3*o**2 - 2. Let j be g(b). Solve 1 = j*u - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a - 5. Let n be f(4). Suppose -n*l + 256 = -113. What is the remainder when l is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 2 + -6 - 209. Let d = -149 - z. Is 63 at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 (base 8) in base 7?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -935 - -908. Which is smaller: r or -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77588 is divided by 38658?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 times -3?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 - -41. Let t(f) = -88 + 177 - 93 + 4*f. What is the smallest common multiple of c and t(3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11119049 < -11119039?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 8 = b - 2*z, -5*z = -3*b + 41. Calculate the highest common divisor of 60 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 61, 120, 203, 310, 441?\nAnswer: 596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 - 28*l - 1138. Give z(-33).\nAnswer: 1964","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*r**2 + 507*r - 507*r - 348*r**2 to k + j*r**2 + c*r and give j.\nAnswer: -321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 3358*x**6\/3 + 1520*x**3 - 3160. Find the third derivative of v(i) wrt i.\nAnswer: 402960*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1140 + -909. Is 231 at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s + 4 - 4)*(20*s + 15*s + 3*s + (1 - 2 + 0)*(-s + 1 - 1) + (0 - 3 + 2)*(-5*s + s + 2*s)).\nAnswer: 164*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3798983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -4033, -1.\nAnswer: -4033, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 511794 and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 487539197?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.12 + 0.05. Let z = u - 0.27. Is z less than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -87?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 96767338 or 96767346?\nAnswer: 96767346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -27*u - 1436. Calculate the remainder when 4198 is divided by g(-54).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 11*i - 5. Suppose -5*w + 121 - 16 = 0. Suppose -3*t + w = 4*t. List the prime factors of a(t).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20.5 - -3.5. Let i = 23.5 - a. Let b be (-2)\/(28\/(-3)) - 10\/20. What is the nearest to 11 in b, -4\/9, i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 248, 203, 160, 119, 80, 43, 8?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12e - 273?\nAnswer: -3a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a factor of 16544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 171. Suppose -2*w - 5*b = -r, -w + 5*b + 46 = -5. Suppose w*k = 62*k + 296. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = 7*z - 945. Calculate the remainder when z is divided by 35.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s. Let k = -33 + 36. Let o be -1 - (-2705 + 4\/2). Let h(f) = o + k*f**2 - 2702. Calculate h(i(t)).\nAnswer: 27*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7c36a82 - 3?\nAnswer: 7c36a7e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -440 + 1158. List the prime factors of q.\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -e155 (base 15) in base 7?\nAnswer: -255434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1891 = -165*k - 1904 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + i - 5*w - 43, 0 = -2*i + 3*w + 29. Let f(j) = -12*j**2 - 4*j**3 + 23 - 5 + 16 + 3*j**3 + i*j. Let p be f(-10). Round p to the nearest 10.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - 323*(-64)\/(-544)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.29 - -0.82. Let r = 2505 - 2504.4782. Let g = r - b. What is g rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -1. Let z = 5756 + -5714. Calculate the remainder when z is divided by 232\/10 - f\/15.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234041 greater than or equal to 234040?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 + -25. Is 2 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.3 + -1.3. Let o = 0 - v. Let y = -15 + 10. What is the closest to 1 in y, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -910*u**6 - 125*u**2 wrt u.\nAnswer: -109200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 217759?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*n - 3*r, -3*n - n + 5*r - 25 = 0. Suppose 0*y + 20 = -4*y. Let m be (-1)\/y + 19\/5. Solve -2*q + 5*w = 14, 16 = m*w - n for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 5:30 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 40259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4726.095 + -4726. Which is the third biggest value? (a) -0.5 (b) i (c) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j**3 + 7*j**2 - 4*j. Let g be x(4). Calculate the common denominator of g\/(-18) - 4\/6 and -50.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -907 and 85451.3.\nAnswer: 84544.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*k - 27. Suppose -7 = -4*h - r, 0 = -3*h - 2*r + 10 - 1. Solve -k*n = -16 + h for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 2. Suppose -a + 2 = -0*a. Suppose -a*y = 5*q - 7, 2*y = -w*y + 4*q. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a factor of 58954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 13 + 35 = 0. Suppose 0 = 4*l - x + 4. Suppose -l*o = -3 - 6. Which is greater: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176*g = 177*g - 14. Let d be (4 - 49\/g)\/((-2)\/(-9)). Sort -1\/4, -1\/6, d in increasing order.\nAnswer: -1\/4, -1\/6, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 2 + (3 - (-2 + 6)) + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 16, 45, 90, 151?\n\"Answer: 8*o**2 + 5*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -82887 times -82.1\nAnswer: 6805022.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + (-2 - 94) + 23 - -7.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -c69a (base 14) in base 12?\nAnswer: -17994","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 18083.4602 + -34974.69\nAnswer: -16891.2298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11738, -11732, -11726?\nAnswer: -11720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 5*a - 22. Let b be k(3). Sort 4, -3, b in ascending order.\nAnswer: -3, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 216950, 217020, 217090, 217160, 217230?\n\"Answer: 70*o + 216880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gguugguy. Give prob of sequence uuu.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 8:48 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 248 = 2*i + 4*u, -5*u = i + 140. Does 60 divide (i\/32)\/(287\/144 + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of l**3\/3 - l**2 - 2*l + 7. Let q be d(4). Let s be ((-25)\/5)\/((-2)\/q). Solve -w + 0*w = 2*k + 5, -s = 3*w - 4*k for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9\/10 of a centimeter?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6593 + -42837?\nAnswer: -4920a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.11, -0.4, -3, -5?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14419650*l**2 - 24*l**3 + 247*l**3 + 14419660*l**2)*((-2 + 1 + 2)*(-1 + 3 - 3) + 4 - 3 - 3 - 6 + 2 + 2 + (1 - 2 + 3)*(4 - 4 + 2)).\nAnswer: -223*l**3 - 10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/2)\/(-1) - 0. Suppose 0 = -26*s + 29*s - 6. Solve q*l + s = -l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345150 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 third derivative of -2507*m**4 - 2055*m**2?\nAnswer: -60168*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 + 1)*(2*z + 1 - 1) + z + z + z + 10*z - z - 2*z - 929 + 106*z + 930 - 44*z in the form l*z + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2208\/3864)\/(12\/567).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.43 + 0.0284630029?\nAnswer: 2.4584630029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/14 + 4965\/(-105). Let b = i - -74. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, -1, -7.66, -1\/4, 0.2193 in increasing order.\nAnswer: -7.66, -1, -3\/8, -1\/4, 0.2193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 88 = -92. Let i = 2 - -2.2. What is the nearest to 2 in i, 0.1, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 7 = 5. Let d be (-4)\/(-2)*(-3)\/(-36). Sort 0.03, s, d in descending order.\nAnswer: d, 0.03, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0037822804 rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1878879.\nAnswer: 3, 31, 89, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -414 greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of a**4\/4 - 19*a**3\/3 - 79*a**2\/2 + 4*a + 35. List the prime factors of t(21).\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -205222.1 less than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1308 and 13516.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78647785 divided by 5.\nAnswer: -15729557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1632 times 12\nAnswer: -19584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 18, 5, -4 in decreasing order.\nAnswer: 18, 5, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3228.992 - 3229. Which is smaller: d or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/15 or -17\/1268289?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 87965356 and 6.6294.\nAnswer: 87965362.6294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13939675*-23.\nAnswer: 320612525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.9 - -0.1. Let l = -0.62 - -22.32. Let o = -22 + l. Sort o, 0, m.\nAnswer: o, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.085163+0.689\nAnswer: 0.603837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/39 + (-44)\/117. Which is the smallest value? (a) 1\/8 (b) -4 (c) -1 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 f when two letters picked without replacement from {h: 6, k: 2, f: 1, j: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = i - 208, -152 = -4*s + 2*s + 2*i. Let r = 201 - s. Is r a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/100*4*1\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36 - -3732*63\/6468 and 67\/140*2*1.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330141449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(0 + -1)*0. Let b(c) = -c**3 - 4*c**2 - 3*c - 5. Let z be b(-4). Suppose 5*p - 4*l = -21, -l + z - 28 = 4*p. Put p, g, 3 in increasing order.\nAnswer: p, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15905953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**3\/6 + 6*v**2 + 22*v. Let m be r(-9). Suppose -84 = -m*u - k + 2, 0 = -u + 4*k + 33. What are the prime factors of u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 i when two letters picked without replacement from igpigilli?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 581*b - 84*b - 41*b**2 + 42*b**2 + (-3*b + 3*b - 2*b)*(-b + 2*b + 0*b).\nAnswer: -b**2 + 497*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 240\/540*18\/20.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 3:02 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 113*m + 29. Let a be i(-11). Let h = -2252 + 4335. Let v = a + h. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 17*t**2 + t - 6. Calculate the least common multiple of p(17) and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (310\/60 - 5)\/((-1)\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111 - 34 = -11*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/399? (a) 11 (b) -1 (c) -0.26 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6723325152?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 61 divided by -543702\nAnswer: -61\/543702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q**3 - 5*q**2 + 6*q + 6. Let d(y) = 5*y**3 - 5*y**2 + 7*y + 6. Let u(m) = 5*d(m) - 6*s(m). What is u(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(24\/(-63))*152\/228?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 724*w**4 + 12658*w**3 - 3524453*w**2.\nAnswer: 17376*w + 75948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*h**2 + 361 + 48*h**2 - 361 + 51*h**2 + 55*h**2 + 51*h**2.\nAnswer: 19*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-4\/7))**19)**(-36) assuming k is positive.\nAnswer: k**(2736\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*w - 2*w - 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmimwmwmmwwwmimmww. What is prob of sequence wm?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*r = -9, 8*l + 3*r - 2 = 12*l. Which is bigger: l or 10\/219?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 2:04 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 910\/13 - (-4)\/(-2).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(-1\/2)\/i)\/i)**(2\/9) assuming i is positive.\nAnswer: i**(-1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one twentieth of a millennium?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(((-1)\/2)\/(15\/(-12))))\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -241 - -453. Let p = 150 - n. Let c = -33 - p. Calculate the remainder when c is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1236815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/13765665 and -76\/8259399?\nAnswer: 41296995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - g + 51, -5*g + 48 - 1 = 2*h. Suppose -z - 2*n = -14, -63*z = -61*z + 5*n - 25. Calculate the greatest common factor of h and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 5*u**2 + 9*u + 1. Let x(c) = c**2 + c + 1. Suppose -1 = 4*g - 5*g. Let f(o) = g*q(o) - 4*x(o). What is f(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*b**2 - b**3 + 19*b**2 + (3*b - 4*b + 6*b)*(4*b**2 - 2*b**2 - b**2) as d*b + u*b**2 + f*b**3 + i and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 5*t**2 + 9*t + 17. Calculate b(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*j + 5147 + 3292 + 1846. Is 8 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -dc98 (base 16) to base 3\nAnswer: -2212110120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6304 and 192?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*v**3 - 10*v**3 + 5*v**3 - 4*v**3 + 0*v**3 + 5*v**3 + (0*v**2 - v**2 + 0*v**2)*(0*v - 4*v + 2*v).\nAnswer: -25*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 34933.\nAnswer: 5\/34933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (17\/2)\/((-9)\/(-18)) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -2*z + 672, 0 = z - 2*m - 341 + 5. Is 8 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5 + -2*sqrt(11) + -2 + sqrt(11) + 1 + 3 + -5)**2*-3.\nAnswer: -36*sqrt(11) + 135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 128*h - 3881. Determine n(79).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -42.9935 bigger than -457?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/2)\/(9\/228). Suppose 3*b = -f + 2, 4*f + n = b + 46. Solve 3*y + 3*y + 12 = b for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-6))\/((-11)\/(-99)). Solve 0 = -4*g - 2*d - 20, -g + a*g = -3*d - 18 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 0)*(-340 + 454 + 514)*(2*q - q + 0*q) as d + s*q and give s.\nAnswer: -628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4892 is divided by 136.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aeeummemdu. Give prob of sequence emum.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + -7 + 4112\/216?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gjozzj. What is prob of sequence ojg?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 225540 + -33?\nAnswer: 225505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 17*z**2. Let r(j) = 20*j**2 - 5*j + 10. Let c(i) = 30*i**2 - 8*i + 16. Let p(g) = 5*c(g) - 8*r(g). What is x(p(s))?\nAnswer: 1700*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(((-51)\/68)\/(3\/1))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1045030, 2090053, 3135062, 4180051, 5225014?\n\"Answer: -g**3 - g**2 + 1045033*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2482235911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l, -5*s - 8 = -3*s + 3*l for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 6:42 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*v + 127 = 4*j, -4*j + 124 = 4*v. Suppose 5*o - 6*l + 5 = -3*l, -o = 5*l - j. Suppose -o*q = q - 222. What are the prime factors of q?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 5:12 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) - ((sqrt(190) - sqrt(190)*-2)*-4 - sqrt(190))) + sqrt(190))\/sqrt(10).\nAnswer: 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*p + 21 = n, -2*p + 26 = 2*n. Solve 4*d = 3*d + q + 3, 0 = -d + 3*q + n for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41*((-332)\/1162)\/(4\/14)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 1:47 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5189453 or 5189464?\nAnswer: 5189453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17.2 * -35625.\nAnswer: 612750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a + 5355 = -6*a. Let b be ((-8)\/(-5))\/(6\/a)*-4. What is the greatest common divisor of b and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -0.099.\nAnswer: -0.0297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 6*r + 9. Calculate o(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.8298141 grams?\nAnswer: 829814.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -86868 divided by -12?\nAnswer: 7239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/(-16)*66\/2 and -87\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*p + 4*t, -3*p + t = -4*t - 9. Solve 0 = -7*q + p*q - 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/22*1125\/135)\/(15\/(-440)*-16)?\nAnswer: 50\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**5\/180 - d**4\/12 + 5*d**3\/18 + 15*d**2. Factor q(s).\nAnswer: (s - 5)*(s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184*z - 48*z = 445762 + 444766. What is the thousands digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 9*z**2 + 20*z - 9. Let s be w(-11). Let n(p) = p**2 - 12*p + 12. Determine n(s).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2 - 5*x**2 - 2*x**3 - 6*x + 0 + 5*x. Let z be i(-3). List the prime factors of 178\/z - (-6)\/21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 12 + (-14 - -3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*7*6172\/4. Suppose -x = -13*z + 6*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/10)\/(-29 - (-4608)\/160). Factor -14\/5*x + 3\/5*x**3 - 24\/5 + 7*x**m.\nAnswer: (x - 1)*(x + 12)*(3*x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, o: 4, p: 2}. Give prob of picking 1 c, 1 p, and 1 o.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 226810?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 251692478, 503384959, 755077440, 1006769921, 1258462402, 1510154883?\n\"Answer: 251692481*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8474193461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**3 + d**2 - 3*d. Let b(u) = u**3 + 1. Let z(p) = -p**3 + 2*p**2 - 7*p + 4. Let y(k) = 4*b(k) - z(k). Give 7*v(f) + 3*y(f).\nAnswer: f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-5)*18\/54)\/(1\/(-15))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**4 + n**3 - n**2 - 4. Let v(p) = 4677*p**4 + 8*p**3 - 15*p**2 + 6*p - 32. Let m(o) = 8*f(o) - v(o). Find the third derivative of m(x) wrt x.\nAnswer: -112440*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 5. What is the least common multiple of w and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -1)*((-68)\/(-16) - 4).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -753.25553 - 0.04447. Round s to the nearest ten.\nAnswer: -750","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-7 - (5 + -10))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/2))**(-2\/23))**(-3)\/((i**(1\/6)*i**(2\/17)*i)\/(i**(-5\/3)\/(i\/(i*i**(-1\/7))))) assuming i is positive.\nAnswer: i**(-48665\/16422)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of l**6\/60 - 13*l**5\/15 - 5*l**4\/24 + 6092*l**3\/3 + 5098*l**2. What is the first derivative of c(s) wrt s?\nAnswer: 6*s**2 - 104*s - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5*m - 124 = 436, -2*s + 249 = 3*m. Let g be (-9 + (-5 - -13))\/(1\/(-13)). What is the greatest common divisor of g and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*d - 11*d + 3*d + (-4 + 2 + 0)*(-5*d + d + 3*d))*(-988*d - 979*d + 1963*d + 2 + 2*d**2).\nAnswer: -28*d**3 + 56*d**2 - 28*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4018.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4381, 8508, 12379, 15994?\nAnswer: 19353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 740*h - 22 = 738*h + 4*g, 2 = -2*h - 4*g. Solve -2*d - h = k + 1, -16 = 3*k + 5*d for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -1, 527, -2 in descending order.\nAnswer: 527, 2, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/17)*t*t\/t**4)**(-45))**(-23\/4) assuming t is positive.\nAnswer: t**(-8280\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 239 + 121 = 0. Let n = j + -17. Which is smaller: n or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28070755 divided by 1.\nAnswer: -28070755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29)\/((-377)\/(-91)) - (-299)\/43.\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*((-3)\/(-24))\/((-7)\/98).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6081 - 195938 = 2733*j - 34*j + 188003 for j.\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 28 = 4*x, 3*n = 5*x - 43 + 6. Let z be ((-129)\/12)\/(x\/(-32)). Let c = -15 + z. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 29269385 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1532\/145 - 53\/5. Which is the nearest to 1? (a) -3 (b) 3\/5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -m**9\/12096 + m**7\/1008 - m**5\/12 + 14*m**2. Let v(i) be the third derivative of c(i). Factor v(y).\nAnswer: -5*y*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/2641 + -200722\/7923. What is the common denominator of s and 47\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75 - 76 - 3*a + 314 - 79 - 9 - 75.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d - d + 0*d)*(0 - 4 - 1) - 3 + 3 - d.\nAnswer: 19*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 877470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1624 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, w: 6, o: 8, v: 2}. Give prob of picking 1 w and 2 v.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -168, -58, 52?\nAnswer: 162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 797b (base 12) to base 9\nAnswer: 20445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.018489928 rounded to four decimal places?\nAnswer: 0.0185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 + 5 + 33 - (-12 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -328 from -0.31.\nAnswer: 327.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)*-5 - (sqrt(11) + 2 + sqrt(396)))**2 + (sqrt(176)*-3 + sqrt(176))**2*4.\nAnswer: 68*sqrt(11) + 5999","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 189361176 to the nearest integer?\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15810045 is divided by 1128.\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 5*b**2. Let j(c) = -323*c. Calculate x(j(o)).\nAnswer: 521645*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 57\/2 of a millimeter?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11840519\/260 + 45540. Find the common denominator of p and 103\/130.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32884 to the power of 1\/2, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -4853209\/3 - 1\/3*s**2 + 4406\/3*s = 0?\nAnswer: 2203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 1 - 4*u + 821\/3*u**3 + 5\/2*u**2. Let j be q(3). Round j to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 47 = 10*x, x - 68 + 79 = z for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 5*z**3 - z**2 + z. Let j be u(3). Let o = j - 5. What is the remainder when o is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1054 + 1061. Let m = 29 + 20. Calculate the greatest common factor of m and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(95)*-1*-3 + (sqrt(95) + sqrt(95)*-1)*2))\/(sqrt(540)\/sqrt(3) - sqrt(125)*-3).\nAnswer: -6*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21854 - 21859 - 9*i**2 + i**3 + 0*i**3 to z*i + m*i**3 + p*i**2 + k and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8 + ((-65)\/(-30))\/((-30)\/111). Put 0.4, 0.3, u in increasing order.\nAnswer: u, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2968*x + 28313 - 40620 - 20042 = 41851 for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(462) + sqrt(462))\/sqrt(11) - sqrt(126)\/(sqrt(3) + sqrt(3) + 2*sqrt(3)))\/(((sqrt(198)*-2)\/sqrt(11))\/(sqrt(12)\/(1*sqrt(4))))*-1 + 5.\nAnswer: -9*sqrt(7)\/8 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 36 = -4*f, -2*l + 10 = -f - 3*l. Let z be 0 - ((-2)\/f - 0). Let q = -0.38 - -3.38. Which is the closest to -0.1? (a) q (b) z (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 g when two letters picked without replacement from {a: 2, g: 4, u: 6}?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80921100.\nAnswer: 2, 3, 5, 13, 20749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 + -22. Is r at most as big as 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/6, 1, -4, 5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (44\/12)\/(9\/(-1431)). Let s = 1059 + z. What are the prime factors of s?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16347394 bigger than -1\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, u: 3}. What is prob of picking 2 u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1\/2 (b) -0.35 (c) -0.3 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/2)\/(18\/3)*54\/306?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(77) - (sqrt(77) - ((sqrt(77)*2 - sqrt(77)) + sqrt(77))))\/sqrt(11))**2 + -1) + ((-5*sqrt(168)\/sqrt(3))\/(sqrt(48)\/(sqrt(12)\/sqrt(2))))**2.\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 771028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -33*t - 348. Calculate n(-9).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/760430 and -99\/10850.\nAnswer: 26615050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -10. Let d = -36.5 - -29. Let q = d + 7. What is the nearest to -2\/5 in t, 3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h**3 - 12*h**2 - 21*h - 14. What is the least common multiple of y(-3) and 725?\nAnswer: 15950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1036\/(-3108)*18\/14.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 9:39 PM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**3 - 12*p**2 - 13*p - 4. Let h be a(7). Differentiate -2040*z**3 + 2063*z**h - 3 - 34 wrt z.\nAnswer: 69*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1060 times 0.062\nAnswer: 65.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1551 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*s + 10 = 0. Let q(k) be the second derivative of -k**4\/12 + k**3\/2 - k**2 + 3*k. Give q(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vtsnndtvtqn. What is prob of picking 1 t, 1 q, and 1 s?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38055 = -61*l + 36286 for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37875?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -183 - 1?\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fwpf when four letters picked without replacement from fwppfoowwpwofopoppff?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 16*u**2 + 5220*u + 1312. Calculate a(-326).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 7*d**2 - 3*d + 7. Let f be m(7). Let a = f - -17. Suppose 2*n = -4*o, 5*o + 2*n = a*n. Solve o = -v - 3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/117*9\/2)\/((-63)\/21)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a micrometer in nanometers?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c - -1c4738?\nAnswer: 1c4745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 12. Calculate the common denominator of 73\/8 and (-8 - p)\/(6\/29).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 - 187 = -6*r. What is the greatest common factor of 184 and r?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*i = 119*i - 15. Solve -4*h - h = q + i, 0 = 5*q + 3*h + 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18695, -33141, -47587, -62033, -76479, -90925?\nAnswer: -105371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1755648, 1755735, 1755880, 1756083?\nAnswer: 1756344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -57, 0.2, -0.4, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 285.\nAnswer: 1425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 6*h - 23. Let w = 789 + -798. Let l be c(w). Solve 0*p - 20 = 5*x + 5*p, x + 16 = -l*p for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260656*d - 260813*d = 4867 for d.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -189 - -189. Let y = 7 + -4. Suppose 283*x + o = 287*x - 2, 5*o = -2*x - 10. Solve -b + y*k + 1 = a, x*b = -b - k + 5 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16413710 - 1?\nAnswer: 16413707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ebbzvjjbzbvbbvecc. What is prob of sequence jjeb?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6770 divided by -532\nAnswer: -3385\/266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n = -24*n + 20. Suppose 84 - 9 = n*z. Calculate the greatest common divisor of z and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -11. Suppose w*o - 4*v - 8 = v, -5*v = 3*o - 6. Calculate the greatest common divisor of o and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirteen fifths of a century?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 + -60.95. Let n = m - -35. Let k = -2 - -2. Which is the nearest to k? (a) 1 (b) n (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + 1. Suppose -z = -3*j + 14, -r = j - 2*z + 4*z. What is the lowest common multiple of j and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 735397510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*m - 28 = 18, 3*m = 3*w - 48. Suppose w = -h - 2*h. Let u be (h\/(-9))\/((-2)\/222). Round u to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 393561\/70 - (-1)\/2. Let t = -5678 + m. Let d = 55 + t. Sort d, -2, -4.\nAnswer: -4, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/3))**(-10\/13))**8 assuming p is positive.\nAnswer: p**(-80\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1024464 from -140.\nAnswer: -139.8975536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6653 + 6653.69718. Round a to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 7*i - 57. What is a(8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*h - 88834, -186*h = 2*x - 188*h - 88834. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4830 + -4829. Which is the third smallest value? (a) h (b) 6.9 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 243\/((-2165130)\/(-98100)) + -2 + -9.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*x - 8*v + 27, -4*v = -5*x + 3. Put -4, -6, 4, x in increasing order.\nAnswer: -6, -4, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**2 - 10051*s + 80344 = 0.\nAnswer: 8, 10043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 225020507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.5, 0, 0.22, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6325?\nAnswer: 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 3*l**4\/4 - 1811*l**3 + 2462505*l**2\/2 - 2457075*l - 12462. Find y, given that h(y) = 0.\nAnswer: 1, 905","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**2 + 8*y + 8. Let s be o(6). Let f be ((-54)\/45)\/((-6)\/(-260)). Let m = f - s. Sort 1, m, -3, 2 in descending order.\nAnswer: 2, 1, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pepeopepepeeeeepepe. Give prob of sequence oe.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**3 - 13*y**2 + y + 2. Let g(i) = -i**2 + i + 1. Let w(h) = b(h) - 2*g(h). Does 14 divide w(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of i*m*n*t - 2*i*m*n - 2*i*m*t + 2*i*m - i*n + 14*m*n*t - 4*m wrt t?\nAnswer: i*m*n - 2*i*m + 14*m*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 9) to base 11\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2461769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(4 - 28\/(-7)). Let r be (2\/5)\/((-2)\/(-20)). Suppose -2*g = -6*g + r. Is g greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.31638 rounded to two decimal places?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -j**8\/40320 + j**7\/5040 + j**4\/4 + 5*j. Let u(f) be the third derivative of k(f). Find l, given that u(l) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(-1)\/6*72\/(-12). Which is the smallest value? (a) o (b) -4 (c) -2\/321\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 52.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -6*z**3 + 21*z**2\/2 + 3*z = 0.\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**22\/v)\/((v\/(v**(-4\/3)\/v))\/v))\/(v*v*v**(-1\/2))**(-48) assuming v is positive.\nAnswer: v**(272\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.22 and -106347086.4913.\nAnswer: -106347086.2713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 16033.772?\nAnswer: -16029.772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 37546.52 and 0.29.\nAnswer: 10888.4908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -857 and -5025.\nAnswer: -5882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/32 + (-3048339)\/(-28). What is h rounded to the nearest 1000?\nAnswer: 109000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35963135545 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 10:13 PM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 2*a - u, 0 = -3*a - 331*u + 332*u + 61. Let i(s) = 10*s**2 - 8*s - 8. Let l(q) = -q**2 + 1. Give a*l(b) + 2*i(b).\nAnswer: 2*b**2 - 16*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 3.6, 28\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0579 + -6.77.\nAnswer: -6.8279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -66*i - 174. Let j be v(-6). Let n = -217 + j. Solve -n*d + 5 = -4*l, l = -5*d + 4*d - 8 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14, -28, -52, -86?\n\"Answer: -5*i**2 + i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1480*n + 2940*n - 1179*n - 1503*n.\nAnswer: -1222*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -8*d**2 + 14*d. Let y(q) = 16*q**2 - 27*q. Let r(u) = 7*l(u) + 3*y(u). Find the second derivative of r(s) wrt s.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 175*g**2 + 9*g + 135. Let j(u) = -86*u**2 - 4*u - 66. Determine 4*a(v) + 9*j(v).\nAnswer: -74*v**2 - 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 11:20 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 e when two letters picked without replacement from {f: 1, u: 2, e: 1, k: 1, c: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*d*w**2 + 4*d*z**2 + 1258*w**2*z + w*z**2 with respect to d.\nAnswer: -18*w**2 + 4*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(425)*3*-1)**2.\nAnswer: 34425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 16 - -1*15\/3. Suppose 3*v = t - v - 17, t - 14 = 3*v. Solve r - c = t*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - 4) + 5 + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1414*m - 154*m - 35280 = 0 for m.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -545, -541, -525, -497, -457, -405, -341?\nAnswer: -265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**5*q)\/q*q**(-9)\/q*(q*q**(4\/5)\/q*q)**(-6\/13) assuming q is positive.\nAnswer: q**(-379\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4362402 by -942.\nAnswer: -4631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -1, 2\/13, 4, -3\/7, -31, 879900?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 239*-358577\nAnswer: -85699903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.435 + -0.065. Suppose -3*c + 5*b + 5 = 14, 0 = 5*c + b - 13. What is the nearest to 0.1 in m, -5, c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2818444 to the nearest 100000.\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-1848)*-6 + 62\/(-88)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -1. Let r = -8 - -4. Let o(b) = b - 8. Let h(a) = r*z(a) + o(a). Let t(q) = 1. Determine h(v) + 4*t(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51*c**5*u**2 + 431*c**4*u**3 - 435*c**2*u + 16*u**3 wrt c?\nAnswer: 3060*c**2*u**2 + 10344*c*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11728 and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37 - -114. Let l = y + -71. Find v such that -6*v - 3\/2*v**3 + 0 - l*v**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, w: 1, l: 11}. What is prob of sequence lwll?\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5\/3 + -71\/39. Suppose 0 = -v - k - 1, -v - 6 = -3*k - k. Which is the smallest value? (a) v (b) 0 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -20. Suppose 2*o - 308 = -w*o. Does 11 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.054822 rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 5:05 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 + 6. Let x(k) = -2*k**2 - 4*k + 2. Let u(v) = -v**2 + v + 1. Let y(c) = 2*u(c) + x(c). Let h(l) = 2*l**2 + l - 2. What is i*h(t) - 6*y(t)?\nAnswer: -2*t**2 - t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of 0*o**4 + 0*o**5 + 5\/2*o**3 + 0*o**2 - 11*o + 0 + 1\/3*o**6. What is the second derivative of c(r) wrt r?\nAnswer: 120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -66 - 2731?\nAnswer: -2797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, d: 3}. Give prob of picking 2 i.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**2 + v**2 + 5*v**2 + (1 - 2 + 3)*(-2*v**2 + 3*v**2 + v**2) + 53*v**2 + 28 - 28.\nAnswer: 59*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.6 - 4.62. Let z = 0.02 + l. Which is greater: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 278\/20 - ((-69)\/(-10) - 2408\/344)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 106\/(-2) - (0 - 2). Let r = 253\/5 + x. Let m = -1.66 - -2.66. Sort -0.5, r, m in ascending order.\nAnswer: -0.5, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 85511609 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -69*t**2 + 1. Let r(q) = q**2 - 8*q - 48. Let d(j) = j**2 - 10*j - 60. Let b(p) = -4*d(p) + 5*r(p). Calculate b(f(y)).\nAnswer: 4761*y**4 - 138*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -217 divided by -4?\nAnswer: 217\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/6 (b) 95 (c) -35 (d) -2\/7 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 500*t**2 - 44*t**6 - 110*t - 3*t**6 - 2*t**5 - 502*t**2 + 2*t**5 wrt t.\nAnswer: -5640*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*q + d = -30*q - 36, 62*d + 34 = 61*d for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 + 16. What is the remainder when 30 is divided by (-2)\/((1\/9)\/(5\/c))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 3*m + 1\/4*m**4 - 1 - m**2 - 4\/3*m**3. Let n(z) = z**3 - 52*z**2 - 105*z - 158. Let l be n(54). Determine d(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 1. Let l(b) = 3*b**2 - 1. Give -2*k(g) - l(g).\nAnswer: -3*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*c + 3*h - 152 = 37*c, 2*c + 76 = 5*h for c.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2 - 6*y. Let u(r) = -14*r - 23*r + 15*r + 151*r - 57*r. Give u(j(k)).\nAnswer: 144*k**2 - 432*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c + 725*c**2 - c - 723*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*2*3\/(-12). Suppose j*p - 4*p = -160. Suppose -3*k + p = 2*k - 5*d, 0 = -d - 3. Solve -4*x - 20 = 0, k*a - x + 5*x + 10 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**2. Suppose 12 + 6 = 2*m. Let j(o) = 12*o**2 - 9*o**2 - m*o**2. Give r(j(l)).\nAnswer: 108*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -7*b + 11*b**2 + 0*b**2 - 6*b**2 + 7*b. Let n(l) be the third derivative of l**5\/30 + l**2. What is n(j(x))?\nAnswer: 50*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -2\/21, 6978, -0.4, 10.\nAnswer: -5, -3, -0.4, -2\/21, 10, 6978","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 + -30. Let m = 0.3 - -4.7. What is the closest to 0 in y, -1\/7, m?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*v = -47*v + 1116. What are the prime factors of (v\/(-48) - 4) + (-11042)\/(-16)?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + -27 - (-3)\/(-2)*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 31. Let m = -5 - -12. What is the remainder when v is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 719 - -792. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*k - 2*d + 3*d, 5*k = -3*d - 3. Suppose -y - y - 4 = k. Find the common denominator of 77\/2 and -2 + y + 49\/(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 297234112 to the power of 1\/2, to the nearest integer?\nAnswer: 17240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 2554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -172.4873 rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -43366, -21 in increasing order.\nAnswer: -43366, -21, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1577 divided by 83.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(4 + sqrt(567)*1))**2.\nAnswer: 72*sqrt(7) + 583","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -65*y**2 + 32*y + 309. Let u(h) = 46*h**2 - 22*h - 206. What is 5*o(j) + 7*u(j)?\nAnswer: -3*j**2 + 6*j + 103","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -205 divided by 41\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -536, 47, -31 in ascending order.\nAnswer: -536, -31, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.8 - 11.4. Let n = d - -2.6. Let m = 374 + -1863\/5. What is the nearest to -0.1 in n, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11248 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 99062.8 litres?\nAnswer: 99062800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (434 - 278*d + 454 - 882)*(-2*d + 5*d - d).\nAnswer: -556*d**2 + 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 4:48 PM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 833, -1, -54\/7 in ascending order.\nAnswer: -54\/7, -1, 1, 833","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 1. Let o(a) = 4*a + 8. Let z be (13 + -5 - 1) + -5. Calculate z*o(b) - 14*t(b).\nAnswer: 8*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21520214 (base 7) to base 12.\nAnswer: 754895","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 3. Suppose -2*n = 2*n - 192. Let h = n + b. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23b3 (base 12) to base 5.\nAnswer: 112043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(1125)*2 + sqrt(540)\/(sqrt(24)\/sqrt(2)))**2 + -5).\nAnswer: -16320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -71 and 11.88102.\nAnswer: -843.55242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 44*b + 248. Let n be h(8). Sort -3, 1, n, 19 in descending order.\nAnswer: 19, 1, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 7, -0.14, -0.5, 1056, 4 in decreasing order.\nAnswer: 1056, 7, 4, -0.14, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181349907 is divided by 60449965?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4\/(64\/12)*924\/99 and 1653.\nAnswer: 11571","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(68) + 0 + 5 + sqrt(68)) - -1*6*sqrt(68)*-2) + 4)**2 + -3.\nAnswer: -232*sqrt(17) + 1110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 178645 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 287833791 to the power of 1\/3, to the nearest integer?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55 - 53. Differentiate -3 - 2 + 3 - 18*f**2 - f**p with respect to f.\nAnswer: -38*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-6)\/4 + 0 + (-2535)\/(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 5183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -14*p**2 + 12*p + 12. Let f(s) = -16*s**2 + 14*s + 14. Let h(l) = 6*f(l) - 7*n(l). Let d(w) = 6*w + 60*w + 48*w - 30*w. What is d(h(y))?\nAnswer: 168*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 12:53 PM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7\/5)\/((-29)\/(-6815)). Find the first derivative of -74 - 327*o - 80 - 42 + 69 + 28*o**3 + q*o wrt o.\nAnswer: 84*o**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -4*r - 30, 0*r - 5*x - 20 = 2*r. Sort r, -2, 2 in descending order.\nAnswer: 2, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-72)*-6*-3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 8:08 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2 - 11*t + 3 - 2. Let j(n) = -7*n - 1. Let q(g) = -5*a(g) + 8*j(g). Let b(z) = -5*z + 1. Let f be b(1). Determine q(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 11*i + 9. Let g be d(10). Find the common denominator of (-31)\/(-12) - (0 - g) and 5\/21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1959, -7747, -17417, -30987, -48475, -69899, -95277, -124627?\nAnswer: -157967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 123 + -116. Let n(k) = 22*k**2 - 9*k - 6. Is n(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261*s = -651 - 654. What is the closest to 1 in s, 0.17, -0.26, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, -0.004, 0.3, -607, -2?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -1092242*c**2 - 9045360*c - 18727200 = 0.\nAnswer: -3060\/739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 389476502 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 239.348138 and 0.1.\nAnswer: 239.448138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 112913*r**2*s**3 - 26*r**2*s**2 - 2*r**2*s - 9*r**2 - 13*s**2 + 2 wrt s?\nAnswer: 677478*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 201 = 4*g, -4*f = -f + g - 658. Does 50 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 48214079 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 8 = -6. Let f(y) = 4*y - 13. Let o(j) = -7*j + 25. Let i(n) = 11*f(n) + 6*o(n). List the prime factors of i(q).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1 - -70)\/(-3))\/(-1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - -0.3. Let s(p) = p**2 + 2*p. Let w be s(-5). Let r = w - 17. Which is the third smallest value? (a) r (b) -0.5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 3 = -l. Solve 4*u = l*u + 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5688456 grams in kilograms?\nAnswer: 0.0005688456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15618840 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*h - 19472 - 10028 = 0. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 a factor of 33756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 - -1022. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 28 = -2*l - 6. Let b(d) = -d**3 + 20*d**2 - 37*d - 9. Calculate b(l).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + 1 + -3)*(-9 + 8). Let d(h) be the first derivative of -h**2\/2 + 1. Let r(x) = -1. Calculate u*d(t) + 2*r(t).\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41612105?\nAnswer: 5, 1801, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 258 and 336?\nAnswer: 14448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(143)\/((sqrt(99) + (sqrt(99) - sqrt(99)*-1))\/sqrt(9)) - (sqrt(52)\/(1*sqrt(4)) - -1*sqrt(1573))))*1*-1 + 1)**2.\nAnswer: -280*sqrt(13)\/3 + 16069\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15410.\nAnswer: 2, 5, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8514 + 4138 = 1237*y - 257 - 14305 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 521592.279 rounded to the nearest 10000?\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21924 and 3.\nAnswer: 21924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3640, -8310, -23 in increasing order.\nAnswer: -8310, -3640, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + -22. Suppose n = -5*a - 53, 5*n - a = p*a - 181. Let m = n + 45. Solve 0 = u + 3*k + 8, -5 = -4*u - k + m for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 27068, 28496, 29924, 31352, 32780, 34208?\n\"Answer: 1428*j + 25640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -5*c**2 - c - 1. Let i be q(-1). Let h = i + 8. Suppose 2*j - h - 9 = 0. Solve -2*m + 4 = j for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1131 - -2331330?\nAnswer: 2332461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -158459, -158482, -158519, -158570?\n\"Answer: -7*l**2 - 2*l - 158450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 134*s + 885. Calculate f(-8).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.8 and 0.03.\nAnswer: 0.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3819 - 0.4329. Put -3, i, -0.3, -5 in descending order.\nAnswer: i, -0.3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52.616 * 1\nAnswer: 52.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*w = 52*w + 38. What is the remainder when 132 is divided by w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*k = 0, 5*d + 4*k + 8 + 22 = 0. Let b be 4\/(-2) - d\/1. Suppose b = -2*v + 1 + 7. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 + 158*d + 324.\nAnswer: -2*(d - 81)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/5 and -3\/3431?\nAnswer: 17155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4244240 a multiple of 265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.7565 - 0.3435. What is the third smallest value in 71, -0.2, t, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -32 + -bf6?\nAnswer: -c28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*r = 26*m - 22*m - 4*r + 76, 0 = -2*m - r - 33 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16232.\nAnswer: 2, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2237626, -2237625, -2237624, -2237623, -2237622?\n\"Answer: v - 2237627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 10:13 PM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 18 = -2*v, -156*v - 2*d = -155*v + 18 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - v + 3 = 0, -5*b + 4*v - 7*v + 6 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-61 + 2)) + (-572 - -554)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 0.06 (c) 7 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13918.86 centuries to years.\nAnswer: 1391886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22154 is divided by 1137?\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 92\/15405 and -107\/42?\nAnswer: 215670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 27826\/(-5)*77\/(-45528). Let m = z - -6\/1355. What is the common denominator of m and 61\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of 0*z + 5\/2*z**2 - 1\/24*z**4 - 1\/3*z**3 + 1\/60*z**5 - 8. Let k(b) be the second derivative of s(b). Give k(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 491672080 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**3 - 4*l**2 + 28*l - 78. Calculate z(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 436 is divided by 30.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -66577075 divided by 13315415\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4469?\nAnswer: 41, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(14761\/870 - 17)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 9, 14, 1.1, 5, -117?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 511 + -508. Solve -l = 2*q - 8 - m, 0 = -5*l + 15 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 336 and 5124.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2 + 10. Let h(s) = -12. Let f(m) = 2*m - 9. Let z(w) = 4*f(w) - 3*h(w). Give v(z(l)).\nAnswer: -128*l**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 3*u = 7*u - 28, -5 = -5*a - 3*u for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -5*n + 548, -n - 4*y + 100 = -y. What is the greatest common factor of 16 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/45 + 680\/72. Suppose 5*r + i = -32, r - 2*i - g = -22. Which is the closest to r? (a) -5 (b) 2\/7 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 38*w**2 + 16*w - 7. Let h = 107 + -109. Let r be (45\/25)\/(h\/10). Is f(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -430*n - 399 wrt n?\nAnswer: -430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 24112 = -2*n - 3812, -n + 10157 = 4*x. Is 16 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3302318 - 992*f**3 + 81672*f**2 + 1166*f**4 - 2204480*f + 1015170 - 1162*f**4.\nAnswer: 4*(f - 83)**3*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 10:59 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (7\/168*4)\/(17361\/846) and 67\/24.\nAnswer: 46296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.199433 nanograms in grams?\nAnswer: 0.000000000199433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234234?\nAnswer: 2, 3, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 = 37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0*(c**8*c)\/c)**47 assuming c is positive.\nAnswer: c**376","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1607949 by 8.\nAnswer: -1607949\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = s - 22, -6 = 2*k + k. Suppose 3*w - 3*n = s, -2*w = -6*w + n + 10. What is the third derivative of 5*m**4 + w - 2*m**2 - 2 - 2*m**2 wrt m?\nAnswer: 120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49 + 55. Let o be (40\/(6\/3))\/(v\/3). Solve 10 + o = 5*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rcuurrdrrrrrddrrrkr. What is prob of sequence cku?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1650, 7, -4, 1, -1 in decreasing order.\nAnswer: 1650, 7, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a. Let t be d(3). Let p(o) be the third derivative of -o**4\/24 + o**3\/6 - o**2. What is the units digit of p(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 38819, 38818, 38817, 38816?\n\"Answer: -m + 38820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.8 in -2, -2\/43, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -2\/21, -3\/206, 6, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/42 - 78\/(-546). Let w = 15 + -4. Which is the fourth biggest value? (a) w (b) 0.05 (c) 5 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42.6 + 42.3. Which is the third biggest value? (a) 4\/7 (b) p (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104758, 209497, 314226, 418945, 523654, 628353?\nAnswer: 733042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -84*r - 5. Let m(t) = -43*t - 2. Let z(p) = 10*m(p) - 4*v(p). Let y(i) = 3*i. Give z(y(l)).\nAnswer: -282*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 less than 6091377?\nAnswer: 6091377.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 697435476.\nAnswer: 2, 3, 58119623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 11*n**2 - 9*n - 4. Let d be g(10). Suppose 4*f = -8, 3*z + f - d = -2. Solve 5*w = 5*v + 44 - 4, -3*w = z*v - 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-16 - (-3)\/((-24)\/(-16)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -6*c**3 - 10. Let z(o) = 11*o**3 + 20. Calculate -5*w(u) - 3*z(u).\nAnswer: -3*u**3 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**4 + 1460*q**3 - 126412*q**2 - 1258884*q.\nAnswer: -4*q*(q - 187)**2*(q + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 262038 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100000011011000 (base 2) to base 10.\nAnswer: 49368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -3\/2, -1\/85, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 20*s + 90. Let n(l) = 3*l + 12. Let x(p) = -4*k(p) + 30*n(p). Let o(q) = -9*q - 2. Give x(o(j)).\nAnswer: -90*j - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7727228.1 nanoseconds to hours.\nAnswer: 0.00000214645225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 6. Let q be j(0). What is the units digit of 4*5\/((-20)\/q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b + 3*b - 4*n + 29 = -n - 11, n - 5 = -3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2942, -2961, -2982, -3005, -3030?\nAnswer: -3057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1022 and 101710.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2 + sqrt(28) + (-1 + sqrt(252) - sqrt(7) - sqrt(7)) - sqrt(14)\/sqrt(1250)).\nAnswer: -7 + 149*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((21\/(-7))\/96)\/(30\/30)\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 624598794 to the nearest integer?\nAnswer: 24992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -21*p + 19*p + 12*z, 2*p + 2*z = -2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - t = -5, t = -3*b + 7*b - 10. Suppose 4*q - 4*d - 14 = 6, 4*q - 12 = -4*d. Differentiate 0*l**b + q - 2 - l**3 wrt l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2*s - 24. Let d be (0 - 2\/1)\/((-20)\/s). Let h be ((-3)\/(-12))\/(3\/4). What is the smallest value in h, d, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11020 is divided by 3582.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 15*u + 8 - 9 in the form j + w*u and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1750 + 107.9?\nAnswer: 1857.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 14 (b) -1 (c) -1\/8 (d) -10556 (e) -0.47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 o when three letters picked without replacement from {o: 2, c: 3, b: 3, i: 10}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from depdejejde. What is prob of picking 1 e, 1 p, and 2 j?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 12*a**2 + 14*a + 15. Let u be d(-13). Solve 0 = 7*v - u*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 9*x**2 - 14*x - 4. Let i be h(-7). Let t be (-1 - (i + 3))\/(-1). Solve -g - 4*g = t for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/63 and 89\/644.\nAnswer: 5796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 65\/15 - 50\/12?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 - 4*c - 4. What is the remainder when 22 is divided by m(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 48 = 5*z, 3*z - j = 3*j + 40. Suppose 0 = -i - z - 1. What are the prime factors of 2\/i - 112\/(-18)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 500918? (a) -0.5 (b) 5 (c) 125\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 60 = -8*r. Let o be (-30)\/10 - (-7 - -1). Suppose -o*m + 67 - 13 = 0. Calculate the greatest common factor of m and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/3*2*325*(-207)\/(-6900).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2507221913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**(-3\/10)))**(-48)\/((((j**(-26)\/j)\/j)\/j)\/j*j**(-8\/7)) assuming j is positive.\nAnswer: j**(1594\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*g**3 + g**3 + g**3)*(14*g**2 + 15*g**2 - 17*g**2) + g**5 + 3*g**2 - 3*g**2)*(-3 - 1 + 6).\nAnswer: 50*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 14*a**2 - 13848*a + 13850. Give l(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*((-8455)\/(-2815) + -3). Let r = -1108\/1689 - m. Is r bigger than 336?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 307151.8 centuries in years?\nAnswer: 30715180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.1, -8, 1.38212, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, k: 7}. Give prob of picking 2 k and 1 f.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 86?\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -608 - -948. What is the greatest common factor of 540 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217*j - 45 = -232*j. Solve -17*f - 5*a = -22*f, -5*f = -j*a - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 891?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -g**2 + 19\/3*g**3 + 29 + 41*g - 1\/4*g**4. Let w be t(19). Solve y + w*d = -5, 6*y + 4*d + 25 = y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - -1)\/(3\/6). Let u(t) = -12 - y*t + 10*t - 2*t + 3*t + 12*t**2 + t**3. What is the tens digit of u(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -6*(sqrt(68) + -2 + 1 + 3*sqrt(17)).\nAnswer: -30*sqrt(17) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 94*t - 95*t - 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away -660361684?\nAnswer: 660361688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2022, -2\/9, 1\/2, 2, -50?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 11) in base 5?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8575 and 1010625.\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l - 7*l - l + 6*l - 2*l - 2*l + 0 + 0 + 2*l - 5*l + l + 3*l + (-2*l + 0*l + 3*l)*(3 + 1 - 6) - 6*l + 5*l + 2*l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -453*l - 94*l + 69 + 81 - 72*l.\nAnswer: -619*l + 150","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3540127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/4, 5, 7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -20. Factor -4*a**4 - a**3 + q*a**2 + 10*a**4 - 9*a**4.\nAnswer: -a**2*(a + 1)*(3*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1540633 (base 8) in base 3?\nAnswer: -211111101020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.03 - 0.07. Let u = -3 + 3. Let l be (-22)\/18 - (0 - 1). Which is the closest to u? (a) h (b) l (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -43.406 and -0.1.\nAnswer: 4.3406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2134 - -2134. Which is bigger: -19\/345 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -26*g. Let m(b) = 77*b**2. What is m(r(o))?\nAnswer: 52052*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -130798710 divided by -26159742\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l**4 + 4*l**2 - 4*l + 4. Let z(w) = -4*w**4 - 3*w**2 + 3*w - 4. Let j(n) = -3*m(n) - 4*z(n). Find the first derivative of j(g) wrt g.\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 17. Suppose -5*j - 15 = -4*o + f*o, 3*j + 26 = -4*o. Which is greater: o or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 187 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -z**4\/4 - 11*z**3\/3 + 11*z**2\/2 - 989*z - 1. What is v(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -85 + 127. What is the least common multiple of o and 204?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -30254 and -7.\nAnswer: -30261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (8 - (-3 - -2))) + 6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 934606 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 a factor of 270273737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-3 - 2) - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**18)**(4\/7) assuming u is positive.\nAnswer: u**(72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-1206)*15)\/(590\/118).\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 36, -1, 1, 0 in decreasing order.\nAnswer: 36, 3, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55755 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -62 (base 13) to base 8\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2 + 7*i - 2*i - i. Let q(p) = 4*p**2 + 2*p + 1. Let t be q(-1). What is the units digit of o(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.132 + 0.131. Let r = a + -0.499. Put 3, r, 2\/3, -3 in ascending order.\nAnswer: -3, r, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -5, 5, -57?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -10*s. Let n(z) = -22*z - 1 - z**2 + 30*z - 4 + 5. What is n(t(x))?\nAnswer: -100*x**2 - 80*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 53340543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 l when four letters picked without replacement from lsluluu?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11510 + -11477. Let k(q) = 3*q + 0*q + 2*q**2 - q**2 - 2*q. Calculate the least common multiple of i and k(5).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -653.3 take away -0.1?\nAnswer: -653.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 12. Let t = -8.9 + 9. Let u = 0 + 0. Which is the nearest to -1? (a) u (b) t (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 - s - 94 + 75 - 134 - 277*s**2 + 77.\nAnswer: -277*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/(-12)*(-1)\/(-4)*12. Sort -78, x, 7.3 in decreasing order.\nAnswer: 7.3, x, -78","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = j - 5, -3*d + d + j + 7 = 0. Suppose -d*h + 6 = 3*i, -3*i + 2*h = -5*i + 4. Is i smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6579 is divided by 235?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1422 and 15983991?\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 73530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3 - 4 - b - b**3 + 0*b - 2*b. Let d be v(-2). Calculate the greatest common divisor of 52 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -98209302 divided by 3?\nAnswer: -32736434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1197315000 a multiple of 840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b + 1. Let s(f) = 3*f + 1. Let a(d) = 3*k(d) - 2*s(d). Let w be a(-1). Let r = 2 - w. Calculate the remainder when 11 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5485751.\nAnswer: 797, 6883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1102518907 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000895252962 rounded to 7 decimal places?\nAnswer: -0.0008953","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3)*(1 - 1 + 2*f + (-f - f + f)*(1 - 1 - 1)).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.6 + -1.63. Let k = -0.0332 - f. Round k to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5142*l**2 + 5555?\nAnswer: -10284*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/4 of a centimeter?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**4 - 1720974*y**3 - 740436156193*y**2 + 1480877475312*y - 740439598144 = 0. What is y?\nAnswer: -860488, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r + 0*r - 300*r**3 - 479*r**3 + r.\nAnswer: -779*r**3 - 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1020121002 (base 3) to base 12.\nAnswer: -1220b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/64020 and 161\/72750.\nAnswer: 1600500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 7*m. Suppose m = -2*c + 65 + 41. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/(-52)*-4)\/(-8).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/719078 and -45\/8.\nAnswer: 2876312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 + -2)*10\/(-4). Put z, -2, -6 in increasing order.\nAnswer: -6, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -7*d + 1. Let k(w) = -13*w - 1. Let x(g) = 39*g. Let j(a) = -2*k(a) - x(a). Give -2*j(r) + 5*z(r).\nAnswer: -9*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 130102719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 14 - 2*i - 2 + 15*i - i**3 - 8*i**2. Let h be q(-9). Let a = 63 + h. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-60)\/(-75))\/((-1)\/5). Sort z, 5, 0 in decreasing order.\nAnswer: 5, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11924583825 + 11924630149.569932. Let a = k - 46324. Let t = -0.57 + a. What is t rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 26*f**2 - 158*f + 36. Suppose -2*x + 22 = j, -4*j - 3 + 19 = 0. What is the smallest common multiple of o(-16) and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11189 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3 - 31*w + 4 - 2. Let s(i) = 4*i + 43. Let f be s(-11). Is q(f) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 3:07 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5496.\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r**3 + 7*r**2 + 7*r + 8 - 1 - 3*r**3. Let w be (-26)\/104 - 17\/(-4). Suppose -20 - w = 4*b. Determine j(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -6. Let s(g) = -g - 1. Let q be s(x). Suppose -18*y + 5*y + 39 = q. Solve -5*h - 10 = -y*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = u - 9, -u + 10 = 56*j - 51*j for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*g - 17 = 11, 4*g - 8 = -s. Let m = -12 - s. Calculate the common denominator of (-1258)\/(-240) + m\/(-5) and -71\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by (-56)\/2*(-1)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4*a - 3740 = 0, -5*w + 70*a + 4669 = 71*a. What is the remainder when w is divided by 59?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5860394?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {f: 2, i: 7, x: 7, h: 1, n: 2}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 0 + sqrt(7) + sqrt(7) + 1*sqrt(112) + sqrt(112)*-4 + sqrt(112) + -1)*5)**2 + 5.\nAnswer: 300*sqrt(7) + 6330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -614 - -622. Let r(m) = -m**2 + 46*m + 71. Let k be r(39). What is the highest common factor of k and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1923163 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60.2 + -60. Which is the fourth smallest value? (a) o (b) -2 (c) -1\/5 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 164?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1420910.59 rounded to the nearest 1000?\nAnswer: -1421000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -y**4\/24 - y**3\/2 + 3*y**2. Let u(a) = -a - 4. Let p(g) = 6*n(g) - 5*u(g). List the prime factors of p(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2.43 (b) 3 (c) -3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*c. Let f be ((2\/1542)\/(-1))\/(3\/18). Do c and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r**3 - r**2 - r + 2. Suppose 10 = 4*p - 2*h - h, -4*p - 3*h = 2. Let m be g(p). Find the common denominator of -61\/8 and (22\/16)\/((-6)\/m).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -333222 (base 5) in base 15?\nAnswer: -36e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - -60. Suppose p = 5*p - 40. What is the greatest common factor of p and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 371*m**2 + 3429*m + 3420. Calculate r(-380).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 0.03892, -3, 6, 0.5, 2\/13.\nAnswer: -3, 0.03892, 2\/13, 0.5, 3\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -20*a**3 + 2*a**2 - 2*a + 2. Let r(i) = 81*i**3 - 9*i**2 + 9*i - 9. Calculate 2*r(l) + 9*t(l).\nAnswer: -18*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 558 divide 57478464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 23868?\nAnswer: 47736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/558832 and -3\/100?\nAnswer: 13970800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06068*0.05.\nAnswer: -0.003034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 270\/323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 3*d + 2. Calculate the least common multiple of 7 and l(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-22) + 4824034\/638 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 6. Let k be w + 1 + 2 - -2. Solve -4*u = -2*u + k*t - 1, -13 = -4*u + t for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(2\/5))**24*y**(-1\/2)*y\/(y\/(y\/(y**(-2\/7)\/y)))*(y**0*y*y*y)\/(y*((((y*y\/(y**3\/y))\/y*y)\/y)\/y*y)\/y*y)*y**(-5)\/y*y**(-3)*y*y assuming y is positive.\nAnswer: y**(3877\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15738, 15924, 16228, 16644, 17166, 17788?\nAnswer: 18504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 804, 806, 806, 804, 800?\nAnswer: 794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(468))*-3 - (-1 + sqrt(468) + 1 - sqrt(468))) + (0 + sqrt(468) + -1 - (sqrt(468) + sqrt(468)*2*6)))**2*-2.\nAnswer: -210608 + 720*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 11*z**2 + 6. Let s be o(0). What is the highest common factor of s and 366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1602 + -1494. Solve 6 = -j*z + 105*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 863191.5 kilometers?\nAnswer: 863191500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -aa (base 14) to base 11.\nAnswer: -127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 641468 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**2 - 2*n**2 + 3*n**2 + 22*n - 2*n.\nAnswer: n**2 + 20*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(1\/4))**(-24)*r**6\/((r**(-8)\/r)\/r) assuming r is positive.\nAnswer: r**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 1)*-1 - (-1080)\/(-39). Let j = i - -17267\/624. Is 0 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/817, 0.06, 43?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1872) + -1 + (sqrt(208) + 4)*-5)**2 + (-4*(sqrt(13) - (sqrt(13) + sqrt(13) + sqrt(52) + sqrt(13)))*3 - 4*(0 + sqrt(1573)))**2.\nAnswer: 1848*sqrt(13) + 25817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/13 - ((-553890)\/(-78) + -1). Round z to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 6)*(-2)\/(-4). Suppose 2*z = g*r + 34, 4*r + 71 = 4*z - r. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xclu when four letters picked without replacement from cpulx.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) -3 (c) 57 (d) -140\/71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 182189\/881856 + 2\/128?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1941*s**2 - s + s + 2129*s**2 to q*s**2 + w*s + h and give q.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 9:31 PM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.14 + 0.24. Let p = 0 - -1. Let d = -3 + p. Which is the nearest to -1\/2? (a) d (b) l (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 154433771 to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -131368 + 150115.6. Let z = -18685.6011 + u. Let q = z + -62. What is q rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13085267707 + 13085267516.00000158. Let a = 1.74 - -189.26. Let l = a + c. Round l to 7 decimal places.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 7606*z + 5 = -7611*z, 19 = u - 8*z for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, v: 2, w: 1, a: 2, y: 5, c: 1}. Give prob of picking 1 a, 1 n, 1 v, and 1 y.\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/8 of a centimeter?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101768141?\nAnswer: 101768141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 < 7.322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12739989 divided by 2?\nAnswer: 12739989\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 266.02032 - 266. Let c = 4.89708 + y. Let w = c - 4.9. Round w to 3 dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3, 1\/2, 4, 1, -26012, 10.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -5*s - 2. Let z(c) be the first derivative of 11*c**2\/2 + 5*c - 7. Let r(o) = -13*b(o) - 6*z(o). Give r(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 2*m + (1 + m - 1)*(5 + 1 - 5) - 3 + 3 - 2*m - 2*m + 0*m + 3*m - 2603*m - 2290*m + 5127*m.\nAnswer: 236*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 7*y**2 + y. Let a(z) = z - 26. Give a(h(t)).\nAnswer: 7*t**2 + t - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a - 1 + 1 + (0*a + a - 2*a)*(2 - 6 + 2).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1038 - 632. What are the prime factors of n?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 0*t - 2*t)*(-20*t + 5 + 58*t - 19*t).\nAnswer: -38*t**2 - 10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-10))\/(5802\/(-15)*(-2)\/4). Is 1 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208454 (base 10) in base 12?\nAnswer: a0772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*c**2 + 5*c**2 + c**2 + (c + 0 + 0)*(c + 3*c - 5*c))*(0*c - 4*c + c) as j*c + p*c**3 + n + t*c**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44116075?\nAnswer: 5, 881, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 divided by 1?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -10111100100011011010010 (base 2) to base 4\nAnswer: -113210123102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 0.04622?\nAnswer: -0.44622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -129 - -211. List the prime factors of h.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -85*y + 9*y**2 + 83*y - 2 + 76*y**2 to the form o*y + s*y**2 + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {a: 2, e: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1420060*i**4*q + 4*i**4 + 12*i**3 - 2*i**2*q - 7000*i**2 + 16*i + 13 wrt i.\nAnswer: -34081440*i*q + 96*i + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32.1 - 27.32. Let t = u - -35.42. What is t rounded to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2488618 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: Is 75 a factor of 19486425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 622bb6 (base 12) to base 16.\nAnswer: 177e3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 30*j**3 - 42*j**2 + 6*j + 3. Let w(s) = 29*s**3 - 43*s**2 + 6*s + 4. Let z(h) = 4*a(h) - 3*w(h). Factor z(f).\nAnswer: 3*f*(f - 1)*(11*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 200, 203, 206, 209?\n\"Answer: 3*a + 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 932050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3 - 491034*a**2 - 982080*a.\nAnswer: 3*a*(a - 163680)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2844586 or -48357975\/17?\nAnswer: -2844586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -96 - -100. Suppose t*c = 5*h + 763, 773 = 4*c - 2*h - h. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 4*u**2 - 1. Let b = -378 - -374. Determine t(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62717\/4 + -15679. Which is the nearest to -2\/9? (a) 0.3 (b) 97 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 21*r**2. Let o be g(21). Let a(s) = -s + 4. Calculate a(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10474.79 - 10429.79024. Let g = x + -45. Round g to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101112 is divided by 80?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f**3 - 9*f**2 + 12*f + 4. Let o(t) = 4*t**3 + 14*t**2 - 18*t - 6. Let p(s) = -7*h(s) - 5*o(s). Let y = 59 - 53. Give p(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x*x*x**16))\/(x*x\/(x*x**(-2\/3))*x*x)*x*x\/((x\/(x\/(x**(-4)*x)))\/x)*x*x**(-1\/8))**(-4) assuming x is positive.\nAnswer: x**(307\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.115 + 0.215. Let s be ((-14)\/56)\/((-6)\/(-40)). Put n, -1, 5, s in descending order.\nAnswer: 5, n, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 11:50 AM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 20*u. Let y(b) = -2 - 19 - 3*b + 21. Determine o(y(v)).\nAnswer: -60*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 64600 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/21*39\/(-338).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -5750590040 to the nearest 1000000.\nAnswer: -5751000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4)\/(-8) - 93\/180 and 57\/14.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.13*2.6\nAnswer: 0.338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -18, 1\/2, -4, 2\/9, 672?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 5:53 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*((-40)\/12 + 3). Let j be -2 - f*(1 + 1). Suppose j = 3*g - 9*g + 342. List the prime factors of g.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4152)\/13840*580\/(-18)*3*1?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -11, 64, -1, 3, -2 in decreasing order.\nAnswer: 64, 3, -1, -2, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -51229542 divided by 1970367\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of p**4\/18 + 4250*p**3\/9 + 4515625*p**2\/3 + 3288*p. Factor k(b).\nAnswer: 2*(b + 2125)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5*c**2 + 2*c - 1. Let s(x) = -4*x**2 - 2*x + 1. Let o = 12 - 9. Let m(l) = o*y(l) + 4*s(l). Calculate m(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71 - -54. Find the first derivative of -3*j**3 + y*j**2 + 13 - 125*j**2 wrt j.\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3200622341?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**3 - u**3 + 3*u**3 + (2 - 2 - u)*(0*u**2 + 2*u**2 - u**2) - 91*u**2 - 81*u**2 + 159*u**2 - 3*u**3.\nAnswer: -2*u**3 - 13*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2*9\/(-6))\/(-12 + 14 - 3). Find t such that 1\/6*t**4 + 0 + 1\/3*t**g + 2\/3*t - 7\/6*t**2 = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 76 - 45 + 4*x - 40 in the form t*x + r and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-70)\/25*(-1970)\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 946 is divided by 330?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.7 + 0.4. Let p = 0.7 - l. Let o = 0.3 + -0.5. Is o less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -6*r**2. Let g(z) be the second derivative of z**3\/3 + 6*z. Determine d(g(a)).\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261 = -5*s - 3*k, 137*s - 276 = 132*s + 2*k. Calculate the remainder when 318 is divided by s.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of 0 + 0*f**2 - 10*f + 0*f**3 - 1\/2*f**4 - 1\/42*f**7 + 0*f**5 + 0*f**6. What is the third derivative of r(g) wrt g?\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 70*c - 1550. Determine k(22).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 10*u**2 - 29*u + 70. Determine j(12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -131 - (-49 + -142 + 12).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 24*l + 57. Is d(26) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 2*z - z, k - 22 = -5*z. Let u be (2 + -2)\/((-9)\/k). Which is the third smallest value? (a) -0.2 (b) u (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -307 (base 8) in base 6?\nAnswer: -531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + 15 = 13*f. Let g(w) = w**2 - 3*w - 4. Let x be g(f). Let y = 685 + -684. What is the closest to y in x, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71759525.\nAnswer: 5, 1223, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -d**6\/20 + 5*d**4\/24 - 4*d**2 + 5*d. Let f(l) = 9*l**3 - 8*l. Determine -5*f(w) - 8*k(w).\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 0.19 (c) -14 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-1)*-7*20\/350)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 351527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 3 - 15 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 492075 divided by 19683\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -2) + 444\/(-84)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -43*o - 96. Calculate the remainder when z(-5) is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - 2*p + 0*p)*(-2*p + 1 - 1).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 12 = -17*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -11*y - 402. Let w = y - -140. What is the least common multiple of 5 and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -96645 divided by 3?\nAnswer: -32215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = -4*j - 15. Find the third derivative of j*k**2 - 2*k**2 - 2*k**2 + 2*k**5 + 0*k**5 wrt k.\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 7*i**2 - 3*i. Let d(q) = 15*q**2 - 7*q. Calculate 14*b(l) - 6*d(l).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 794066 to the power of 1\/2, to the nearest integer?\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u*u**0))*u)**(-5\/3)\/(u*u\/u**4*u*u*u**(3\/2))*((u*u**(2\/3))**(-1\/76))**4 assuming u is positive.\nAnswer: u**(-187\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29059 = 31*z - 36*z + 3*u + 81979, u = 0. Does 189 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11210 and 250?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2049 + 3013. Let i = 930 - v. Is -1\/4 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of 15\/4*v**2 + 0 + 16*v + 3\/2*v**3 + 1\/8*v**4. Factor a(z).\nAnswer: 3*(z + 1)*(z + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + -1651764.586.\nAnswer: -1651766.586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6704, 7368, 9186, 12740, 18612?\nAnswer: 27384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 923 is divided by 77.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (255\/17)\/(1\/(-2)*-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 2842.739?\nAnswer: 568.5478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.15 - -4. Let r = 0.15 - q. Put -4, -0.2, r in decreasing order.\nAnswer: r, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4050 - 2907. Calculate the highest common divisor of 18 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -7. Suppose -4*i + 1 + u = 0. Suppose -16 - 26 = -i*n - 4*z, -4*n - 4*z + 88 = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22380 and 1846723?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/6, -0.5, 5, 41821, 0.1 in decreasing order.\nAnswer: 41821, 5, 5\/6, 0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65441 (base 8) to base 5.\nAnswer: 1334200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z + 4. Let u be k(-5). Let q = u - -1. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163769 is divided by 540?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = a. Let z(w) = 2*w**3 + 22 - 2*w**2 - w**3 + w + w**2. Does 21 divide z(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 4, -19, -4\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/9594 and -52\/36291273?\nAnswer: 2830719294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 106964, 106932, 106900?\n\"Answer: -32*z + 106996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -460.4 to the nearest 10.\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*u + 36*u**4 + 323*u**3 - 149 - 358*u - 346*u**2 + 3520*u**2 + 430*u**3 - 121 = 0. Calculate u.\nAnswer: -15, -6, -1\/4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0974589 rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y - 5. Let h(i) = -5*i - 4. Give 6*b(l) - 5*h(l).\nAnswer: 13*l - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 734 = j + 2*j + 781, 4*l + 2*j + 42 = 0 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86772 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 42, 64, 90?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/2 + (-303)\/(-2) is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d**2 - 19*d + 5. What is g(-7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -j**4\/8 - 25*j**3\/6 - j**2. Let m(o) = o + 8. Let f(a) = 11*m(a) + 4*s(a). What is f(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*z - 127 - 1622 - 39 = 0. Let x be 10\/(-1)*(0 + 1). Which is smaller: z or x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h - 43. Let b be u(-16). Suppose 8*y = b + 19. Solve -d = -y*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 7434\/849377?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((35\/(-7))\/5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence czc when three letters picked without replacement from zqqzczczicqcz.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4 = -3*y. What is the remainder when 17 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 + 1.5. Let c = -12.9 + 13. What is the third biggest value in c, -1, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 + -26. Suppose -n*u + 48 = -172. Let b(a) = 44 + 4*a - u. Let z(q) = 4*q. Calculate z(b(w)).\nAnswer: 16*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 1\/88403?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 120.557ml?\nAnswer: 0.120557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 21. Suppose 0 = 13*y - 23*y + 360. Calculate the highest common factor of y and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 24*c**2 + 24*c - 25. Let n be j(-25). Is n greater than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bokoaaaookoababzoao?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-2))\/1 - -4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23249.02 centuries to millennia.\nAnswer: 2324.902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1355966489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -40*x**2 + x + 5. Let k(u) = 8*u**2 - 1. Let w(b) = 11*k(b) + 2*p(b). What are the prime factors of w(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 6:41 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**3*n + 993*g**3 + 32*g**2*n - 3*g**2 + 249591621*g*n wrt g.\nAnswer: -6*g*n + 5958*g + 64*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 313871796?\nAnswer: 2, 3, 7, 509, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 8. Let x be (-6 - (h - 4)) + 3. Solve x*n = 2*n - 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -97 - d - 82*d**2 - 31*d**2 + 116 wrt d.\nAnswer: -226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001011 + -1000110100?\nAnswer: -1001111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 56, 140, 262, 422?\nAnswer: 620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**3*f*f*(f*f*f\/(f\/f**(1\/11)))\/f)\/((f**(4\/3)*f)\/(f**(-7\/2)*f)) assuming f is positive.\nAnswer: f**(83\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - -3 - 3)*(1 + 0). Let i be 14\/g + 33\/(-66). Determine y, given that 9\/5*y**4 + 3\/5*y**5 + 21\/5 - 66\/5*y**i + 114\/5*y**2 - 81\/5*y = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cgucugcg. Give prob of picking 1 c and 1 g.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1082?\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.21, -0.07, 0.2, -2 in descending order.\nAnswer: 0.2, -0.07, -0.21, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 6 = l. Suppose 3*g - l = -3, -5*r - 2*g + 41 = 0. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13350 is divided by 1026.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 48339828989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 2\/165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -4*11\/(-132)*87*1*14 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 540240 (base 6) to base 2.\nAnswer: 1010110010000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.03 (b) -15 (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/8)\/(((-3850)\/(-1892))\/25).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of 7*l**4\/24 + 2*l**3\/3 + 2*l**2. Let d(p) = p + 1. Suppose -513*x = -518*x + 5. Calculate x*v(n) - 6*d(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -9*k**2 - 224*k + 287. Suppose 7*j - 3*j = 5*t + 541, 3*j + 2*t - 377 = 0. What is the remainder when j is divided by w(-26)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n**3 + 6*n**3 - n**3.\nAnswer: 11*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3*sqrt(1053).\nAnswer: -4 + 27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -6*u - 12. Suppose 24 = 5*w + 4. What is the remainder when h(-3) is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 3\/7, 0.4, 1\/6, -97, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 280062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 12. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**5\/3 + 1184*x**4\/3 - 10714*x**3\/3 + 27424*x**2\/3 - 5965*x = 0. Calculate x.\nAnswer: -1193, 0, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 98 + -151. Let k = c - -50. Let l be (-1)\/(1\/((-5)\/(-1))). Sort 5, l, k.\nAnswer: l, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57787 (base 9) to base 16\nAnswer: 969a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*p**3 - 263 + 263 - 150*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 288251 by 3.\nAnswer: 288251\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39810736 and 1421.\nAnswer: 1421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 228 and 57114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 48\/28 - 4\/(-14). Let i(n) = -2 - 2 + 44*n - 49*n + 3. Calculate i(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of 0*m**2 + 2 + 5*m - 15\/2*m**3. Let i(f) = 2*f. What is i(v(r))?\nAnswer: -90*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0*h + 13 = -h, 0 = -f - 3*h + 10. Suppose 6*i + 83 = f*i. What is the remainder when i is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 392518741*u + 15*u**2 - 392518741*u.\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3104 + 444 = -14*m. Is 6 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111101 (base 6) to base 11.\nAnswer: 7008","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 673750*r + 10850. Let o be t(5). Round o to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rhhgwrrrtmmthrm. What is prob of picking 2 h, 1 m, and 1 g?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by 7452.\nAnswer: -11\/3726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 34251533 - 5?\nAnswer: 34251527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + -10 + -22 - -19 - -39.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 + 57. Let u = s + -29.1. Let x = 4 + -3.7. Which is smaller: u or x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67.648 + -0.352. Let o = -59 - j. What is the second biggest value in -2\/29, o, -5?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 8*v**3\/3 - 5*v**2\/2 + 3*v + 4. Is d(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2. Let j(z) be the second derivative of z**4\/6 - 7*z**3\/6 + 7*z**2\/2 + 3*z. Let p(b) = -b**2 + 3*b - 3. Let v(c) = 3*j(c) + 7*p(c). Give l(v(s)).\nAnswer: -s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8077 and 920581.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.7 (b) 0.4 (c) 1\/199 (d) -192 (e) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -15b71 (base 12) to base 15\nAnswer: -92ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) 4 (c) -2\/13 (d) -0.1 (e) -0.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9 and 0.64?\nAnswer: 5.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/490 and -85\/98.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 82 - (4 - 8). Suppose -2*z + j = -0*z. Let d = -52 + z. Is d != -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p**2 + 1. Determine f(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/sqrt(2)*-3 + -1.\nAnswer: -3*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 6536 = -6497 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -79627*u**2*z**3 + 6*u**2*z**2 + 23*u**2*z - 4*z**2 + 35 wrt z.\nAnswer: -477762*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 56*s**2 - 60*s - 268. Calculate z(-55).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -47579154?\nAnswer: -47579154.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5031601 is divided by 314461?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuppu. What is prob of sequence ppuu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120748785 and 3583050.\nAnswer: 1207487850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-16) + 49\/36. Which is bigger: 2 or k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3885 and -115.5.\nAnswer: -4000.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5082 and 2583318.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -58714, -58698, -58676, -58654, -58638?\n\"Answer: -z**3 + 9*z**2 - 4*z - 58718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -18. Suppose -3*p - 18 = -3*d, -3*d - d = 3*p - g. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/6*(-2)\/(-1). Let q(g) = 3*g**2 + g + 1. Let c be q(1). Let z = 5 - c. Put d, z, -4 in descending order.\nAnswer: d, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 + -77. Let p = k + 34. Let z = -33.6 - -34. Which is the second biggest value? (a) 2 (b) p (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + z - z + 2*z. Let p be o(-3). Suppose -4*w = 2*j - 42, -3*w - 5*j + 27 = -2*j. Solve 0 = p*l - 0*h - h - 8, 0 = 2*l - 4*h - w for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-18))\/(340\/2754)\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of ((-156)\/286)\/(24\/(-60324))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ug when two letters picked without replacement from ugg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - -2 - (53 + 8 + -11 + -87)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, -27, -102, -175, -246?\nAnswer: -315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3\/3 - 188*q**2\/3 + 2300*q\/3 - 2116\/3.\nAnswer: 4*(q - 23)**2*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hjjhhjjjhjjjjj. What is prob of picking 3 j?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 153\/1441 - 2\/131. Let o = -99 + 100. Is i equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*v = 164, 877 = 29*s - 24*s + v. What is the highest common factor of 11 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*c - 5 - 3, 0 = -5*l - 2*c - 8. Suppose l*n + n - 3 = 0. Solve v = 4*v - n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**3)**20\/(t*t*t*t**(-1\/2))**(-21) assuming t is positive.\nAnswer: t**(225\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24989\/5 - 5118. What is the fourth biggest value in 4, j, -4, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-29)*j**13)\/(j**37*j*(((j\/(j\/(j\/((j\/j**(-2\/45))\/j*j*j))*j)*j)\/j*j)\/j*j)\/j) assuming j is positive.\nAnswer: j**(317\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**3 + 1501*o**2 + 45430*o - 205800 = 0. What is o?\nAnswer: -1470, -35, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**2 + 1. Determine c(-4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -5*w - 7244. Let v = w - -36133\/10. Calculate the common denominator of (-279)\/240 - 2\/5 and v.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**2 + 36*k + 6. Let o be z(-18). Let t(y) = y**3 - 5*y**2 - 8*y + 4. What is t(o)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02399171708 rounded to four dps?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-3))\/1 + 5 + -7. Which is the closest to 0.1? (a) 2\/21 (b) d (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -4*m**2. Let q(l) be the first derivative of 0*l + 20 + 5\/2*l**2. Give q(x(o)).\nAnswer: -20*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4183669 to the power of 1\/3, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {u: 11, r: 2, c: 1}.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3340 - 3341. Sort l, 0, -5, 3 in increasing order.\nAnswer: -5, l, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (30\/(-9))\/(-2) + (-86905)\/(-39).\nAnswer: 2, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 14 = 46. Suppose 0*v - 4*v + 4*t + 8 = 0, -2*t + o = 0. Let p be 2*9\/v + 0. Solve 2*y - 5*q = -4, -2*y + p*y + 2 = q for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*x**2 - 25*x**2 + 76*x**2 - 28*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 220*a + 231*a - 440*a.\nAnswer: 11*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5, -7, -27, -55, -91?\n\"Answer: -4*o**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 6*b**3 - b**2 - 3*b - 1. Let w be 1 - ((-1 + -8)\/(-3) + -1). Let t be y(w). Sort 14, 7, 3, t in descending order.\nAnswer: 14, 7, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**2 + 2*p**2 + 2*p**4 - 3*p**4 + (-6*p - 20*p + 3*p)*(-12*p - 17*p**3 + 12*p).\nAnswer: 390*p**4 - p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 divided by -18?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1066810.4405 rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -277.8 + 401.5. Let b = 124 - z. Which is smaller: 87 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6c8 (base 13) in base 4?\nAnswer: 102122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -94 - (93 + 27 - 116)?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2438?\nAnswer: 2, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -3) + 8 + (5957 - 5917)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*i**2 + 134*i**2 - 1530*i**2.\nAnswer: -1299*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r - 14. Let d be x(-5). Let o(k) = -3*k**2 - 31*k + 105. Let c be o(-13). Sort d, -1, c in descending order.\nAnswer: c, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20.17 - 20. Let l = -4104 + 4103.8253. Let k = o + l. Round k to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/5 or 345059\/20?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 7. Let i(l) = -2*l**3 - 15*l + 3*l**2 + 26*l - 15*l. Let w(b) = b**3 - b**2 + b. What is g*w(q) - i(q)?\nAnswer: -2*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 12, -2890, 2, 6 in descending order.\nAnswer: 12, 6, 2, 0, -5, -2890","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/(-3) + 1\/(-3). Let x(v) = 2*v + 4. Let o(u) = u + 2. Suppose -6 = 5*w - 4*s, 2*w + 2*s - 16 + 4 = 0. Let t(a) = w*x(a) + z*o(a). Calculate t(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 13*m**3 - 11*m**2 + 11*m + 11. Suppose 0 = 7*o - 50 - 27. Let s(n) = 7*n**3 - 6*n**2 + 6*n + 6. Calculate o*s(x) - 6*a(x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1924331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - 7*p + 56. Is (-4)\/p - (-575)\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -145*i**2 - i**6 - 96*i**2 + 0 + 226*i**5 - 225*i**5 + 0 wrt i.\nAnswer: -120*i**3 + 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2)\/(-24))\/((-2)\/(-172)) and (-27)\/15*(-11)\/2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**3 + 2*d**4 - 4593*d**2 - 2*d**4 + 4177*d**2 - 7*d**4 as p*d**3 + c*d**2 + i + h*d**4 + u*d and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 8:58 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a gram in milligrams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**2 + 3*a + 2. Let g be l(-3). Let z = -16 + g. Let c(n) = -3*n - 11. Let m be c(z). Solve m*h + 20 = -0*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 337186 and 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -12.1. Let l be ((-4)\/8)\/(-1 + 4). Suppose 0*c + 2*c = 2*t - 6, 2*t + 3*c = 16. What is the nearest to x in -5, t, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 233066848?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - -1 - (-137 + 138)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 14*q - 4. Let a be r(-12). Suppose -d = 3*d - a. Let u = d - 1. Solve x = -3 + u for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by 87?\nAnswer: 13\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 2:14 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 3, 0.26005?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 + 0*b**2 - 2*b**2)*(321 - 156 + 53).\nAnswer: 218*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yyxmmmmxyymxxyxp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, t: 2, f: 2}. Give prob of sequence ftss.\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -7*h**3\/2 - 4*h**2 + h - 22. Let w(j) = 32*j + 11. Let z(l) = -8*r(l) - 5*w(l). Let a(t) = 7*t + 8. Give -7*a(m) + 6*z(m).\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43288 = 5*g + o + o, 3*g - 4*o = -25952. Let r = 14556 + g. Round r to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -169908 and -43.\nAnswer: 7306044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 2.6. Let y = -0.6 + t. Let s = 3421\/13 - 263. Put 0, s, y in increasing order.\nAnswer: y, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111980 * -0.5\nAnswer: 55990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -396 - -144. Let q = -282.6 - i. Let o = q + 27.74. Round o to one decimal place.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2188623 and 346?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2409274.\nAnswer: 2, 7, 17, 53, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0149 + -294.9851. Let m = r - -294.999465. Round m to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2137.\nAnswer: 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, v: 5}. Give prob of picking 1 d and 3 v.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3836, 3770, 3694, 3602, 3488, 3346, 3170?\n\"Answer: -s**3 + s**2 - 62*s + 3898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 7:50 PM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/390)\/((-49)\/(-147)*1\/(-3))?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*w - 45*w**4 + 78*w**4 + 80*w**4 - 192*w + 2*w wrt w?\nAnswer: 1356*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*j + 18 + 30*j + 9*j**2 + 12*j**2.\nAnswer: 3*(j + 2)*(7*j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9, 0.1, 5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 626561.7 rounded to the nearest ten thousand?\nAnswer: 630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2872*p. Let u(x) = 3144*x. Determine u(y(v)).\nAnswer: 9029568*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 272.518 * -2536.\nAnswer: -691105.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 10*h**2 - 5*h + 49. Let o be s(-10). Let p = o - 989\/10. What is the second biggest value in -2, 6, p, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 174 and 290.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -5869*s + 70669. Calculate r(12).\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -1247?\nAnswer: 1243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9827 is divided by 4833?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u - 1. Let q(x) = 10*x - 6. Let m(t) = -11*d(t) + 2*q(t). Let c be (2 + -2)\/((-2)\/(-1)). Let b be m(c). Which is smaller: b or 2\/29?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6337535, 12675070, 19012605?\n\"Answer: 6337535*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 3*k**2 - 7*k + 7. Determine q(4).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 3*u - 3 + 1 + 0. Suppose 8*o + 168 = -4*o. Let n be (o\/7 + 7)\/(3\/(-6)). Let y(c) = -3*c**2 + 7*c - 5. Calculate n*z(r) + 4*y(r).\nAnswer: -2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 10:26 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = r - 42 - 13, -2*o + 3*r = -110. Suppose 4*h - 10*h + 66 = 0. Calculate the highest common factor of h and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2029 in -3\/2, 1378, 1?\nAnswer: 1378","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 235.6 + -236. Let n = 1 + -1.1. Let t be (2\/(-4))\/((-35)\/30). What is the nearest to 0.1 in v, t, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5*r = -30, -k + 3*r + 8 = -6. Let q = -1 - 1. Calculate the smallest common multiple of k and 16 + (-1 - q) + -1.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40 - 1?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/8 (b) -3\/8 (c) -2 (d) -13 (e) -24 (f) 1\/45 (g) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f + 108 = 153. Solve 20 = -f*h + 7*l - 8*l, 35 = -2*h - 5*l for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4684*c**2*q**3 - 538*c**2 + 593*c + 7578*q**3 + 2 wrt q?\nAnswer: 14052*c**2*q**2 + 22734*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*c - 9*c = -120. Put -51, -4, c in decreasing order.\nAnswer: c, -4, -51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 4*j - 160 = 0. Suppose -26 = 2*t + j. Let i = 107 + t. Is i a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 6:52 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (28 - (-25 - -41)) + (1 - 6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 480319224 to the nearest integer?\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 135932605 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1039\/6 - -171. Let u = 8\/3 + j. Factor -1\/2*a**4 + 0*a - u + 0*a**3 + a**2.\nAnswer: -(a - 1)**2*(a + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/223180 and 51\/2120210?\nAnswer: 4240420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 179.1744268 rounded to two decimal places?\nAnswer: 179.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -j + 12, -2*j - 5*a + 23 - 3 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -2*x**2 - 5 + 0*x - 1\/60*x**5 + 0*x**3 + 0*x**4. Let y(d) = -20*d**2 + 40*d**2 + 32*d**2. What is s(y(q))?\nAnswer: -2704*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -256383, -1025385, -2307069, -4101435, -6408483?\nAnswer: -9228213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31305227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 3*m**2 - 5*m. What is the remainder when 58 is divided by q(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 16*f**2 + 63*f + 44. Give m(-9).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 + 4*y**2 - 5*y**2)*(-4*y**2 + 4*y**2 - 2*y**2 + (-4*y + 0*y + 2*y)*(7*y + 41*y + 24*y)).\nAnswer: -146*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 88 = -4*h. Let u(g) = -g**3 + 10*g**2 + 13*g - 23. Let t be u(h). Let p(j) = 5*j. Give p(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*m**4 - 2825*m - 6513 wrt m?\nAnswer: -8*m**3 - 2825","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 70\/462 + (-1)\/3. Suppose 0*y - 3*y = -3. Which is the third smallest value? (a) y (b) p (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4211.\nAnswer: 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of 3*d**5\/35 + d**4\/7 - 2*d**3\/3 + 2*d**2\/7 + 3*d\/7 - 198. Determine w so that j(w) = 0.\nAnswer: -3, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -111 - 2?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - h. Let i(j) = j**2 - 19*j - 26. Let n(d) = i(d) - 2*u(d). Let l be n(-12). What is the second derivative of -425 + 6*a**2 + 425 - l*a wrt a?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -2*g**3\/3 + g**2 - 4*g - 37. Let y(l) = -l**2 + l - 2. Give 2*a(m) - 5*y(m).\nAnswer: m**2 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -111 + 303. Is v a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14717*v - 14745*v = -4*x - 4, -3*v - x - 1 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -80\/11 - -2863\/495. Find the common denominator of -103\/20 and k.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 13274301?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**2 + 9*s + 19. Calculate d(-6).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 95*t**2. Let v(b) = 4339*b. Calculate x(v(g)).\nAnswer: 1788557495*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1 + ((sqrt(55)*3)\/sqrt(5))**2)*-5.\nAnswer: -493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.092, 0.3, -1\/9, 0.4 in ascending order.\nAnswer: -1\/9, 0.092, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -64547*x - 2194616. Determine n(-34).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19948 is divided by 1329.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 371798683 to the power of 1\/2, to the nearest integer?\nAnswer: 19282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/6))**(2\/95)\/((k*k*k**(2\/15)*k)\/(k**(-29)*k*k*k*k)) assuming k is positive.\nAnswer: k**(-2673\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*r - 20 = 2*i, -3*i = 4*r + 15. Let h be (-6)\/i*30\/(-9). Suppose 1 + 4 = 3*o - 4*s, 0 = 2*o - 4*s - 10. Put h, o, 4 in decreasing order.\nAnswer: 4, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2789, -5582, -8373, -11162, -13949, -16734?\n\"Answer: b**2 - 2796*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z\/(z\/((z**0\/z)\/z)*z)*z*z**(1\/5)*z**(-5\/3)\/z**(-1\/7) assuming z is positive.\nAnswer: z**(-244\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/5)\/(2\/(-1250000)). What is o rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 6*r - 1. Let p(s) = -s**2 - s + 1. Let h(t) = -2*p(t) + w(t). Let g be h(-9). Is (-4)\/g - (-23)\/3 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*d**2 - 47*d - 7*d**2 + 49*d.\nAnswer: 20*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13608503 rounded to 4 decimal places?\nAnswer: -0.1361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 206 + -200. Let d(c) be the first derivative of -4*c**2 + 1\/4*c**4 + 5\/3*c**3 + p + c. Give d(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (-7 - 2) + 1. Sort h, 3, 5.\nAnswer: h, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1066, 2107, 3148, 4189, 5230, 6271?\nAnswer: 7312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 8034, -10, -5, 0.0568 in descending order.\nAnswer: 8034, 0.0568, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -9988*p + 69919. Calculate s(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3554168, -7108718, -10663268, -14217818, -17772368?\nAnswer: -21326918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 212451827 less than 10?\nAnswer: -212451817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4*y**3 + y. Let n(h) = 11*h**3 - 3*h. Let g be (3 + 25)*(-6)\/(-24). What is g*r(v) + 2*n(v)?\nAnswer: -6*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**4 + 13*m - 13*m + (2*m**2 + 3*m**2 + m**2)*(m**2 + m**2 + m**2) in the form w*m**2 + g + o*m**3 + l*m**4 + h*m and give l.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7526.57 rounded to the nearest one hundred?\nAnswer: -7500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 76594394 to the nearest integer?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4226 - -4234 - (-64 + -3)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -3*a - 15, a - 25937 = 6*b - 25919. Factor a*l**2 - 2\/15*l**3 - 8\/3 + 14\/5*l.\nAnswer: -2*(l - 4)*(l - 1)*(l + 5)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 15 + 6 = 0. Let d be (-6)\/(-4)*(2100\/819)\/(-25). Which is the smallest value? (a) d (b) 9 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-4\/11)*q**15)\/(q*q**(-14\/3)*q**(-6\/11)) assuming q is positive.\nAnswer: q**(679\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/114*(6 - 4)\/(-12)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28081019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/72216 and -62\/161483.\nAnswer: 11626776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 11*r**3 - r**2 + 2*r + 3. Give l(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.870908*-25\nAnswer: -21.7727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28076 - 28057. Let j = 31 + -15. Calculate the least common multiple of j and x.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.01, 1, -14\/15, 1\/5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16546 + 60105 = 15*p - 46891. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*g + x - 45, 2*g - 4*x - 30 = 0. Suppose 5*u = -4*m + g, -6*u + 20 = 5*m - u. Solve 5*v + 2*l = -3*l + m, -l = -1 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1594 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 32 = -3*w, -6*q + q + 40 = 5*w. Let l = -14 + q. Let f = 1 - l. Calculate the highest common factor of f and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 103302100330?\nAnswer: -103302100333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/15 in 3\/7, -2\/7, -0.5, -2\/9?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*l**3 - 4746*l**2 + 4863*l**2 + 3*l**3 + (-3 - 2*l + 3)*(2*l - 2*l + l**2).\nAnswer: -6*l**3 + 117*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -507*f - 1500 = -306*f - 261*f for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 68.19 + -68.190012548. What is q rounded to 6 dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 767*m = 984*m + 11284 for m.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -12.8. Let j = -138 + 135.9. Let q = j - h. Which is the third biggest value? (a) -3\/5 (b) 1\/7 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -95276*k**4 - 2*k**2 + 193980 with respect to k.\nAnswer: -381104*k**3 - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 383 + -6509\/17. Let w be (15\/10)\/(30\/(-8)). Let v = -0.1 + -0.4. Which is the nearest to -1? (a) o (b) w (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 891099?\nAnswer: 3, 11, 9001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((-3 - 5 - -7) + -4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 8. Suppose -2*a - 72 = -5*a. Suppose -l = u - s, l + a = 5*u - l. What is the remainder when 7 is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*w - 5*g, -12 = 2*g + 2*g. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 205 - 6472?\nAnswer: -6265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/41, 4, -7\/3, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.09, 1, 3\/4, 2\/7, 4, 128\/37?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 80*l**2 + 437*l + 543. Let x be k(74). Solve 2*g - x = 3*u - 3*g, 0 = 4*u - g + 22 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0081 rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/2 + 747 + -3. Suppose 0 = j + 4*k + 205, 4*k - 3*k = -4*j - u. Round j to the nearest ten.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 4 - 5 + 3*z + 6. Calculate the remainder when j(-6) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7185?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of 41*w**8\/84 - 11*w**5\/3 - 50*w**2 - 77*w. Let q(f) be the first derivative of r(f). Find the third derivative of q(n) wrt n.\nAnswer: 9840*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(-4\/5)*i**(2\/3)\/i*(i\/i**(-1\/5))\/i**5 assuming i is positive.\nAnswer: i**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-9)*47 + (-20)\/30. Calculate the highest common divisor of 345 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121113303 (base 4) to base 2\nAnswer: -11001010111110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -40*k - 7. Let u(f) = -2*f + 8. Let q be u(-12). Let n be (3\/8)\/(8\/q)*-2. List the prime factors of w(n).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -1, 14 in increasing order.\nAnswer: -5, -1, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iitcfib. Give prob of picking 1 b, 1 f, and 1 i.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 737 - 8099\/11. Solve -8\/11*m**2 - c*m + 0 - 2\/11*m**3 = 0 for m.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q - 1. Let c be j(-3). Suppose d = 3*p - 9, d - c*p + 6 = 3*d. Suppose 63 = 3*a - d*a + 3*u, 4*u + 77 = 3*a. List the prime factors of a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 4*y + 257, 4*t = -0*y + 3*y + 952. Let q = t - 151. What is q rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23978 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (154\/4)\/((-16)\/(-32))?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d*h**3 + d*h - 6247*d - 9*h**2 wrt h?\nAnswer: 6*d*h**2 + d - 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2294*t**4 + 4*t - 207 wrt t?\nAnswer: -27528*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((12\/18)\/((-4)\/6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/4)\/(85\/17). Which is the closest to p? (a) 2 (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 200220212?\nAnswer: 200220210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/4*146\/(-10)*-2. Let r = -69 + q. Solve -3*v - 6 = y, -5*v = y - r*y - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + -5. Suppose -4*n - o + 2 = -10, 3*n = 5*o - j. Does 2 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 510*z = 34582 - 1432 for z.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -11*l - 78. Let z be 235\/1770 - (-1)\/l. Which is greater: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a day in minutes?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -x + 5*x. Suppose 32 = 5*f + 12. Suppose f*y + 16 = 4. Sort 4, x, y in descending order.\nAnswer: 4, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 42\/23 (b) -341 (c) 0.1 (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -4 - 6 - -8 - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -86229*t**2 - 6*t + 5616 wrt t.\nAnswer: -172458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of 83*l**4\/4 + 27*l**3 - 82. Find the third derivative of d(i) wrt i.\nAnswer: 498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77*(-23)\/34155*(-2)\/7?\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143602 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, i: 4}. Give prob of picking 3 i.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (-6 + -4)) + 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 2 - (-4 + (-2)\/(-2)). Suppose 5*b = t + 39, -4*b + 7*b - m*t = 20. Calculate the lowest common multiple of 128 and b.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 5*p + 7 + 3, -c = p + 2. Let h(z) = -z + 10. Let j be h(c). Suppose 2*w = 4*w - j. Solve 3 = -w*k - 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -r - 3 - 6, s - 8 = -4*r. Suppose 4*j - 15 - 11 = -r*w, -2*j = -w - 8. Suppose k - 5 = w. Solve 0 = -5*q + 32 - k for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288197.\nAnswer: 7, 13, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1511\/10 - -151. Let u(o) = 5*o - 3*o + 3 + o - 5*o. Let y be u(2). Is s less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of 0 + 3*k**2 - 1\/2*k**3 + 1\/8*k**4 + 1\/60*k**5 + 0*k. Give w(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -23*j + 119. Solve 3*u = 2*c - 4 + 1, 0 = -j*c - 4*u + 19 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2 - -346) + 3)*-3. Let a be ((-6)\/(-9))\/((-2)\/n). Suppose 3*i = 5*y + a, 0 = -3*i + 4*i - 5*y - 109. What are the prime factors of i?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1081 and 0.2?\nAnswer: 1080.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.7954*-70.29\nAnswer: -55.908666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 19736977\nAnswer: 78947908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/828678 and -155\/84.\nAnswer: 11601492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8c873b + 1?\nAnswer: -8c873a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**3 - 4*j + 4*j)*(7 - 3 + 14)*(-2 - 1 + 0).\nAnswer: -162*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 8*d - 176. Let p be g(-11). Suppose p = -2*f - 5*w, 9 = -f + 3*w - 4*w. What is the third biggest value in -1\/2, 0.1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c + 115 + 1122*c**2 - 1123*c**2 + 24*c**3 - 21*c**3 to the form o*c**2 + r*c**3 + q + a*c and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 + 7. Let q = 32 + s. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-21)\/2*(-7 + 5). Let o be (-2 - -16)*6\/n. Solve -5*r = -3*i - 1 - 3, -o*r = 5*i + 19 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 9:23 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16065\/306*7\/315?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4*k + 194 = 465, -219 = -4*z - k. Calculate the remainder when 291 is divided by z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 25, 294, 817, 1606, 2673, 4030, 5689?\n\"Answer: 2*j**3 + 115*j**2 - 90*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - ((9 - 2) + -21)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**4\/2 - 589*a**3 + 169581*a**2\/2 - 1668456*a + 3002454 = 0?\nAnswer: 2, 21, 141, 1014","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of o**4\/4 + 6*o**3 + 9*o**2\/2 - 13*o + 1. Let v = 717 + -733. Is j(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 283 + 3646*n - 283.\nAnswer: 3646*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2378029 divided by 2378029.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 920 + -892. Calculate the lowest common multiple of 2\/3*3 - -2 and i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*i + 272*i + 4 - 4.\nAnswer: 234*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -900 + 2017. Calculate the remainder when x is divided by 86.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 63*g**5 - g**4 + 23*g**3 + 88520*g**2 - 1 wrt g?\nAnswer: 3780*g**2 - 24*g + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 188784 and 37962?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*t + 13. Suppose b = -4*q + 392, -4*q + 2*b + 438 - 58 = t. What are the prime factors of q?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 - 3 = 5*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 26 = w, w = 2*w - c - 18. Suppose w*o - 24*o + 144 = 0. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -4*s + 14. Suppose 12*w - 24*w + 36 = 0. Let c(m) = 2*m - 7. Give w*y(o) + 5*c(o).\nAnswer: -2*o + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 2) + -2 + (3 - 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*v**2 - 4*v + 4*v)*(2 + 4 - 5) - 4*v**2 - 3*v**2 + 5*v**2)*(-6 + 1 + 3 + 0 + 0 + 2 + (-2 - 1 + 1)*(1 + 1 - 4) + 3 + 0 - 2)*(7*v - 105 + 51*v + 106).\nAnswer: -1160*v**3 - 20*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**2 - 2*u - 5. Let l be 8 + 4 + (-4 - 3). Let s(y) = 2*y**2 + 2*y + 4. Determine l*s(g) + 4*i(g).\nAnswer: 2*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - v)*(-2*v + 2*v - v) + 0*v**2 + 0*v**2 + v**2 + (3*v - 5*v - 3*v)*(-3*v + 2*v + 2*v) to h + p*v + x*v**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -2*m + 100. Let b(u) = 626*u - 1256. Let y be b(2). Sort 5, -2, m, y.\nAnswer: m, y, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 6*c**2 + 16*c - 6. Let t(k) = -k**3 + 5*k**2 + 10*k - 32. Let v be t(6). Give l(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 16 = 57*v + 264 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 6\/10789 and 37477 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5767240207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**2. Let h(w) be the third derivative of w**4\/6 + 14*w**3\/3 - 131*w**2. Give t(h(d)).\nAnswer: -32*d**2 - 448*d - 1568","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is 2.5310331 hours in days?\nAnswer: 0.1054597125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 5, -1.409, 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -11222111201220?\nAnswer: 11222111201201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/30 - (3068408\/(-60))\/14 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*m + 8, -2*k - 2*k + 4 = 2*m. Let d = -2 + m. Suppose 0 = -3*q + 4*f + 3 + 28, -5*q - 2*f + 43 = d. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*x - 653 - 650 + 1303.\nAnswer: 98*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1937*r - 18*r - 254*r.\nAnswer: 1665*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2729 divided by -19680.\nAnswer: -2729\/19680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-15)*-3)\/(6\/220). Let g be 2 - 3\/2*a\/(-33). Determine s so that 3\/2*s**2 - 3\/2*s**3 + 0 + 1\/2*s**g - 1\/2*s = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -40764*m. Let a(v) = 1999*v**2. Determine b(a(f)).\nAnswer: -81487236*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-2)*35*((-14874)\/(-469))\/111?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/2 (b) -1\/5 (c) 1 (d) 10 (e) -0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5100*p - 2548*p - 2550*p = 0. Let t(y) be the second derivative of -1\/11*y**4 + 24*y + 1\/165*y**6 - 1\/110*y**5 + 0*y**3 + p*y**2 + 0. Factor t(m).\nAnswer: 2*m**2*(m - 3)*(m + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 193 + -261. Let s = -1 - m. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -1. Suppose 0 = 3*b - 0*b - 12. Suppose 0*c + b*c = 8. Let w(i) = -3 + 3 - i**2 + 0*i**2. Give c*z(p) - 2*w(p).\nAnswer: 2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/6, -138, -3\/7, 0.3, -1\/4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (356\/2314 + (-4)\/26)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5*c = 2*w + 7, -5*w - 2*c - 1 = 0. Which is smaller: w or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44714018989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2473 divided by 58600\nAnswer: -2473\/58600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from wnwfwwwwwwwpwnw.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nxp when three letters picked without replacement from {x: 2, n: 4, k: 2, h: 3, p: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/6, -2, -0.2, -1.32, 2 in decreasing order.\nAnswer: 2, 5\/6, -0.2, -1.32, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0.1, -0.87, 2\/17, -3, -601?\nAnswer: -0.87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -373 = 6*y - 361 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5 = 2*u. Solve 1 + u = -2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u**2 + 3*u - 4. Let x be y(-2). Let k(b) = -3*b + b**3 - x*b**2 + b**2 + 32 - 10 + 5*b. Calculate the remainder when 65 is divided by k(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 2 (c) 0.4 (d) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1020 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 y when four letters picked without replacement from hhyyiyiyh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1397536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1131418446?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3225033 + -4?\nAnswer: 3225027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 - 0. Let b = -3.103 + 7.103. What is the smallest value in a, b, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134 = 12*s + 2*x, x = 802621*s - 802623*s - 23 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h + 0*h - 3*h + h.\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-57)\/(-76))\/((-1)\/(-4))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 2:48 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1331, -996, 2665, 11314, 26613, 50224?\n\"Answer: 277*j**3 + j**2 - 1607*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76 + (3 - (-42 - -37)) + (-3 - (6 + -3)).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5577 is divided by 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -9 - -6 - 24\/(-5). What is the third biggest value in 3\/7, 3, b?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -895 + 901. Let h be -174*(((-243)\/z)\/(-9) + -4). Which is greater: h or -88?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 7:35 PM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, f: 6, a: 7}. What is prob of picking 1 g and 3 a?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 464, 930, 1396?\nAnswer: 1862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 13\/8, 3, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 8 - 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9\/122 + 145\/1342. Which is the closest to -1? (a) 1 (b) t (c) -2\/3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 7:48 AM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 7*w - 16 = 0. What is the least common multiple of 28 and w?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -539 - -603. Let v be (-4)\/1*(-80)\/j. Which is greater: 56\/9 or v?\nAnswer: 56\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-10 - -54) + -1 + -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 1307156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5.8, 254, 8, 4 in increasing order.\nAnswer: -1, 4, 5.8, 8, 254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uucu. Give prob of sequence ucu.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(4 + -2*sqrt(175)) + -5*(sqrt(175) + -2*sqrt(175)) + 2)**2.\nAnswer: -1100*sqrt(7) + 4859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2568934?\nAnswer: 2, 1284467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -6*l - 12. Let m be w(0). Let f be (393\/m - 1) + 4\/(-16). Let i = -29 - f. Solve i = -5*u + 5*s - 10, 0 = 2*u - s + 7 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w + 3. Suppose 5*y - 6 = 19. Suppose 3*z - 32 = -0*z - y*g, z - 16 = -3*g. Let l be a(z). Which is bigger: 2\/17 or l?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 6*d - d + 3*d**2 - 3 - d + 0. What is the derivative of x(b) wrt b?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (0 - 4 - (-1 + -1))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -k**4\/4 - 2*k**2. Let t(v) = 2*v**2. Determine u(t(d)).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82*11.33.\nAnswer: 929.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3159 is divided by 276.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 196 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 830355091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1870 and 4288845.\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8810817\/7 + -1258688. Determine k, given that -m*k**3 - 23\/7*k - 10\/7*k**2 - 2 = 0.\nAnswer: -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2941338742 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 202732533 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 1646.4383.\nAnswer: 9878.6298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1662600 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 4 + 8. Let f = -7 + 7.4. Let g = -31 + 33. Which is the biggest value? (a) f (b) g (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 1 + (-4 + 4 - 1)*(0 + 1 - 3))*(-56*j + 31 - 23 - 7) as x*j + a and give x.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 436, 449, 478, 529, 608, 721?\nAnswer: 874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 2 + -2 - 5) + 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.9 minus 1892?\nAnswer: -1895.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/5)\/(-6))\/((-8)\/(-10))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 19*x**2 + 20*x + 6. Let t be b(-20). Suppose t*i + 5 - 17 = 0. Solve 5*s - 20 = -2*z - 3, i*s - z = 14 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -64 - 71. Let o = -135.3 - p. What is the second biggest value in 2, o, -4\/13?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-5) + (-152330)\/(-762400). Let y = p + -377373\/76240. Find the common denominator of -53\/38 and y.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 976186136 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6 and -146.\nAnswer: -87.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2d - -25?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*g**2 - 46200*g - 106722000 = 0. Calculate g.\nAnswer: -4620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 * -1.112.\nAnswer: -0.04448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -88 - (-1997 + 1946).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -460*u + 112 wrt u.\nAnswer: -460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -170414137 from 3188.\nAnswer: 170417325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/9120 and -23\/2280.\nAnswer: 9120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 + 1142b?\nAnswer: 11436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l - 4. Let a(i) = 3. Let h(m) = 4*a(m) + 3*s(m). Let w be 6\/9*30\/(-2). What is the tens digit of h(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 11*t**2 + 11*t - 7. Let d be o(-12). Put -36, 4, d in descending order.\nAnswer: d, 4, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 6*w - 24. Let t be o(-18). Let u = 733 - t. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -5*b**2 - b**2 + 5*b**2. Suppose 4*m - 5*h - 23 = 0, m - 5 = -0*h + h. Let q(g) = 4*g + 0*g - 2*g + m*g. Give q(t(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (-3 - -8 - 4). Suppose j = v - 4*q + 12, 2*v - 3*q + 3 = -6. Suppose -3*u - 114104 - 185896 = v. What is u rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 - 71128*o**2 - 1566668*o - 1495536.\nAnswer: 4*(o - 17804)*(o + 1)*(o + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004137083173 to 4 dps.\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 45676892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/56177, -0.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(3\/7))\/z**20 assuming z is positive.\nAnswer: z**(-136\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -13*h**2 - 14 + 110*h + 4*h**2 + 17 + 6*h**2. What is the tens digit of w(33)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {a: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -554, -551, -486, -311, 22?\n\"Answer: 8*z**3 - 17*z**2 - 2*z - 543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 114 = p + 2*p, 1162*a - 4*p - 137 = 1163*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 93*m**2 - 8*m + 4. Let f(k) = -184*k**2 + 16*k - 7. Determine -4*f(u) - 7*g(u).\nAnswer: 85*u**2 - 8*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjzzzzzzzzzz. Give prob of sequence zj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 3:22 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9437695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -8. Let u be 13 + (2 - (6 + s)). Let k = 16 - u. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 301573, 301574, 301575, 301576?\nAnswer: 301577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 826384 = 4*o, -z - o + 165277 = -0*z. Let p = -76026913\/460 + z. Calculate the common denominator of p and -67\/22.\nAnswer: 5060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 25 = -0*j + 5*r, 0 = -j - 5*r + 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1191, 0, -3, 935 in decreasing order.\nAnswer: 1191, 935, 5, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w**2. Let j(f) = -28*f + 28. Let s be j(1). Let r(v) be the first derivative of 1\/3*v**3 + s*v + 0*v**2 - 9. What is r(m(y))?\nAnswer: 25*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 9*i - 4. What is the remainder when o(4) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -386 - -391. Suppose c*u - 1153 = -2*w + 1887, 5*w - 1843 = -3*u. What are the prime factors of u?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**(1\/2)*x*x)\/x)\/x)**29)**3\/((x*x\/(x**(-3\/7)*x)*x*x*x**(-1)*x)\/(x**7*x*x\/(x\/(x**(-4)*x*x)*x)*x)) assuming x is positive.\nAnswer: x**(645\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - r**2 - 2*r - 2. Let b be s(-1). Let d be (4\/6 - b)*(-9)\/6. What is the remainder when 97 is divided by 1 - -30 - d\/2?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 46340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**3 - 2*o**3 + 3*o**3 - 1 - o**3 + 1 + (0*o**3 - 4*o**3 + 5*o**3)*(-3 + 2 - 1) - 668*o**3 + 100*o**3 - 375*o**3.\nAnswer: -947*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 12) to base 16\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 12:17 AM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/8 + 889*n + 5853465\/8.\nAnswer: -(n - 7857)*(n + 745)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 7*y**2 - 2*y - 5. Let u(j) = 8*j**2 - 3*j - 6. Give -6*a(i) + 5*u(i).\nAnswer: -2*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((l + 0 + 0)*(-2*l + 0*l - l) + 0 + 0 + 2 + 2*l**2)*(243*l**2 + 136*l**2 + 218*l**2).\nAnswer: -597*l**4 + 1194*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 99129566 and 2892?\nAnswer: 594777396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 3 + 2 + a + 13.\nAnswer: a + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101011101 + 0?\nAnswer: -1101011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 1 + 33 + 6\/(-6). Solve 4*s + n = -4*h, 5*s + 3 = 2*h - 2 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**2 - 7*m + 3. Let y be v(4). Solve y = 3*d - 8 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**2\/5 - 7838658*n\/5 + 15361139810241\/5 = 0. What is n?\nAnswer: 3919329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3434*i + 6999*i - 1158063 for i.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3316*u**3 + 8*u**2 + 4*u - 8. Let n(m) = -19897*m**3 + 46*m**2 + 23*m - 46. What is -8*n(v) + 46*q(v)?\nAnswer: 6640*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1174697739.\nAnswer: 3, 17, 89, 281, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -51\/13 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93, -87, -81?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 1207887.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6\/5 of a hour?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6799400 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -751 + 751.00008415. What is n rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by (23\/(-1))\/(-11 - -10).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2714 and 0.086933309.\nAnswer: 2714.086933309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5 = 3. Let y(m) = 3*m - 4. Let c be y(x). Solve -o - c = 3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -264*i**2 + 924431 - 924431 in the form b*i + u*i**2 + l and give u.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -33.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 6*r + 3. Give w(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10 and -1505.3564.\nAnswer: -1515.3564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 7 = -2*j - k, 2*k + 8 = 0. Let u(r) = 2 - 2*r - 3 - r + 0*r. Give u(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 f when three letters picked without replacement from qffhqfhh.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.6 * -55.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4361, -4564, -4905, -5384?\nAnswer: -6001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 0, 117\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**5\/11 + 3*j**4\/11 + 6*j**3\/11 - 28*j**2\/11 + 24*j\/11 = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 935778772 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uk when two letters picked without replacement from {u: 1, w: 1, k: 1, h: 1, j: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.7 (b) -3 (c) 0.5 (d) -4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 227706 rounded to the nearest 10000?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (-39 + 12) - (-36 + 160)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2154 (base 8) to base 4\nAnswer: -101230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2.4 (b) -0.06 (c) 6\/7 (d) 0.5 (e) 7 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1955153 - -51.6?\nAnswer: -1955101.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2503 = -10*v + 1717. Does 4 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 9 + 2*k - 3*k - 4. Let l(m) = m**3 + 7*m**2 - 3*m - 17. Let c be l(-7). Give r(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -29*t + 3188*t**2 + 0*t - 3184*t**2 + 11. Let d be i(7). What is the greatest common divisor of d and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(3*(-4)\/12)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(95)*6)\/sqrt(5) + 1 + 1*(-1 + -5*(-1 + sqrt(19) - sqrt(19))).\nAnswer: -6*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-24))\/(-1)*9\/(-10)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50 + 46. Suppose -5*b - 2*y + 78 = 5, -5*b - 5*y = -85. Let k = b + q. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((4\/(-3))\/(-4))*(-17)\/51.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*a - 229811 = -187*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 14\/8 + (-9)\/6. Sort 4, 0.4, v, -2\/3 in decreasing order.\nAnswer: 4, 0.4, v, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b - 2703666*b**2 + 4*b + 2703634*b**2 + 3*b.\nAnswer: -32*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.2, -73, 0, 2\/5, 0.04?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 n when three letters picked without replacement from {n: 4, c: 2, o: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2023, 2722, 3887, 5518?\nAnswer: 7615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.343998 to three decimal places.\nAnswer: 0.344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**2 - 3*g - 3. What is w(-3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6, n: 6}. What is prob of sequence wnww?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 0 - (695 - 689).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36400307\/56130 + -1\/28065. Let l = d - 628. What is the common denominator of l and ((-185)\/1850)\/(78\/1490)?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 5*d**2 + 34*d + 4. Give w(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 + 3*c**2 - c**2)*(-6*c**2 + 0*c**2 - 2*c**2) + c**3 - 3*c**4 + 29*c**3 + c**4.\nAnswer: -18*c**4 + 30*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*n + 6*n**5 - 7*n - 38*n**5 wrt n?\nAnswer: -640*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 2) to base 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 70?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 2) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 160 and 200?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1563 + 1560. Let t(c) = 76*c**3 - 2*c**2 - 3. Let q(f) = -152*f**3 + 5*f**2 - f + 5. Let o(i) = -4*q(i) - 9*t(i). Is o(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -7*v. Let f = 12 - 3. Let c(d) = -4*d**2 - 2*d**2 + f*d**2. Calculate c(a(i)).\nAnswer: 147*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 4*q**2 + 2*q. Let a be o(-3). Suppose 2*j - j = a. Calculate the remainder when 3 + j*(-11)\/(-3) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -8*m**2. Give d(-2).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 0, -4, 96, 4\/5 in decreasing order.\nAnswer: 96, 4\/5, 0, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**2*((u\/u**(2\/27))\/u)\/u*u*u\/u**(-1\/2)*u**(-2\/27) assuming u is positive.\nAnswer: u**(235\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -69\/10 - -877\/130. Let w = 8.443 - 0.143. Let z = -7.8 + w. What is the nearest to y in z, 3\/8, 3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3979312?\nAnswer: 2, 248707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -6020890251 to the nearest one million.\nAnswer: -6021000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2103302 (base 4) to base 6\nAnswer: -111442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*c - 552 = 38*c. Suppose 0 = -c*t - 97 + 1868. Calculate the remainder when 536 is divided by t.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4500413 less than 2?\nAnswer: 4500415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z. Let y(p) = 138*p. Give y(q(h)).\nAnswer: -276*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/25 + 6012\/(-10). Let p = x + 760. What is the remainder when p is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**2 + 23 + 14*v + 26 - 46 + (4*v**2 + 3*v**2 - 6*v**2)*(-1 + 0 + 2) + 2*v - 2*v + v**2.\nAnswer: 3*v**2 + 14*v + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 10*m + 301. Let v be q(-30). Do -7\/1115 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**5\/5 - 41118*g**4\/5 + 131688*g**3 - 2963952*g**2\/5 + 1296*g\/5 + 17783712\/5 = 0. What is g?\nAnswer: -13722, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -51146246 - 0.01.\nAnswer: -51146246.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(1 - -2) - (13 + -17). Solve x*z = 2*z - 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -y**7\/105 + 7*y**5\/30 + 7*y**3\/6 - 82*y**2. What is the derivative of z(s) wrt s?\nAnswer: -8*s**3 + 28*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/4)\/(33\/220)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and 160082740?\nAnswer: 160082738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-5*(sqrt(57)\/sqrt(3) + 4 + sqrt(19))*-2 + -3)**2.\nAnswer: 39400*sqrt(19) + 228809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -266\/3 or -90?\nAnswer: -266\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80849 + 9*v - 80849 - 9*v + 73*v**3.\nAnswer: 73*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 243474, 973970, 2191454, 3895920, 6087362, 8765774, 11931150?\n\"Answer: -w**3 + 243500*w**2 + 3*w - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18446 - 1978 = -4*s + 2*m, 0 = 2*s - 3*m + 8242. Sort 3, -1, s.\nAnswer: s, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -5. Let b(u) = -u**2 - u - 2. Let r be b(c). Let p(d) = d**2 + 3*d - 2. What is p(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.092 times -0.648?\nAnswer: 2.003616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*b + 94*q = 92*q + 435, -26 = 4*q - 86 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j + 4*d - 16, 0*j + 2*d = -3*j + 8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -183 + 359\/2. What is the nearest to -0.1 in j, 2\/9, -1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2709, -9, 17, 348 in ascending order.\nAnswer: -2709, -9, 17, 348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -403 - -403.002667. Round n to four decimal places.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.5, -0.1866.\nAnswer: -0.1866, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4118 - 4432 = -3*i. Does 15 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6 - -14)\/(2\/4). Let t be (-1)\/5 - (-198)\/15. Suppose y - 11 = t. What is the highest common divisor of y and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**4 - 5*h**4 + 4*h**4)*(2 - 2 - 2*h) - 3*h**5 + 238*h**3 + 597*h**3 + h**5 + 15*h**3.\nAnswer: -6*h**5 + 850*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5741?\nAnswer: 5741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -51.329 - -0.529. Let q = j + 50.79777. Round q to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 398298713 to the nearest integer?\nAnswer: 19957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 167*o**2*v**4 - 6*o**2 + o*v**2 + 2*v**4 - 33 wrt v.\nAnswer: 4008*o**2*v + 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10094 and 168?\nAnswer: 121128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from atnnpapaaaanapxpxtt. Give prob of picking 1 n, 1 t, 1 p, and 1 x.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 - -202201313?\nAnswer: 202201332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b + 12995848 - 12995848. Let g(t) = 35*t**2 + 3. Give w(g(a)).\nAnswer: 35*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -69 divided by -36596\nAnswer: 69\/36596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 93 + -91. Let k(l) = -l**2 + 2*l + 1. Determine k(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 108550 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (131*f - 377*f + 190*f)*(2*f + 0*f + 3*f) + (-2*f - 1 + 1)*(0*f + f + f).\nAnswer: -284*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3 - 5566*u**2 - 11126*u - 5562.\nAnswer: -2*(u + 1)**2*(u + 2781)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t*t\/t**(1\/2)*t*t*t)**(-31\/3)\/(t**(-1))**13)**(-25\/4) assuming t is positive.\nAnswer: t**(8125\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 763161224.\nAnswer: 2, 7, 31, 59, 7451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 536 is divided by 46?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-5*(-2 + sqrt(75)) - -4*(sqrt(75) - (0 + sqrt(75))))*-6)**2 + -3.\nAnswer: -17400*sqrt(3) + 70861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 104*k**2 - 4 + 5*k - 5 - 102*k**2. What is the units digit of y(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 3*o + 2. Let h be y(-4). What is the derivative of -7 + h*c**4 + 0 + 4 wrt c?\nAnswer: 24*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-11 - -13 - 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*p - 116 = 3*c + 61*p, -2*c + 191 = -13*p - 6*p - 223 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-12)*f*f*f**(2\/9)*f\/f**14*f*(f\/(f**(-1\/5)*f))\/f*f assuming f is positive.\nAnswer: f**(-971\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 7 - 15) + 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1926697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 4*r**2 + r - 2. Let y(q) = q**2 - 2*q + 1. Calculate -d(s) - 2*y(s).\nAnswer: s**3 + 2*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 4*l. Let y be r(-4). Suppose 5*u + 0*u - 120 = y. Calculate the highest common divisor of u and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01 and -68654?\nAnswer: -686.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -33 and 1025.9.\nAnswer: -33854.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 5626*j**3 - 4*j**2 + j - 4. Let t(a) = a**3 - 4*a**2 - 5*a + 4. Let y be t(5). Let u be p(y). What is u rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -4*q - 5*c, 1747*q = 1746*q + 2*c + 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2633 * 12.\nAnswer: -31596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 907.\nAnswer: -4\/907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2342, -2312, -2282, -2252, -2222, -2192?\nAnswer: -2162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1595*b + 7*b**2 - 3196*b - 162 + 0*b**2 + 1603*b as x*b + u*b**2 + d and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 4:50 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a + 1086 = -15*a. Let q = 676 + a. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1180366163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6677 divided by -11.\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1\/(16\/((-304)\/57))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f - 1. Let w = -26 + 14. Let k be (17 + -2)*(-8)\/w. Let u be ((-48)\/40)\/((-3)\/k). Let x(r) = r + 1. Determine u*l(a) + 5*x(a).\nAnswer: -3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -u**6\/165 - 2*u**5\/55 - 5*u**4\/66 - 2*u**3\/33 - 11*u + 2. Let l(c) be the first derivative of x(c). Let l(f) = 0. What is f?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*c - 159 = 112, -2*a + 4*c + 528 = 0. List the prime factors of a.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*i = i - 2, 0 = -3*p + i + 6. Suppose -2*l + 8 + 2 = 0. Find the second derivative of 4*m**l - 2*m**5 - 2*m**2 + 2*m**p + m wrt m.\nAnswer: 40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4*l**3 - 2*l + 22. Let o be v(4). Let a be 11\/(o\/(-92)) + (-2)\/11. Solve 4*h + 2*n = -3*n + 37, a*n - 32 = -4*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 37*c**3 - 13*c**2 - 31*c + 182. Determine k(5).\nAnswer: 4327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -114366 divided by -389\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 9*j**2 + 19*j - 4. Let z be v(-4). Solve z = 12*b - 8*b - 8, 0 = 5*l + 2*b - 9 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 2*u + 2. Let h = 3698 + -3696. Let v(q) = 3*q**2 - 5*q + 5. Calculate h*v(r) - 5*m(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -6*a + 13*a. List the prime factors of -5*((-19)\/a - 4).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 537.\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4\/3, -32, 0.102, -2, 1?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/((q**(1\/12)\/q*q)\/q))\/(q*q**(-4\/9)*q)*(q*(q\/q**(2\/9))\/q)\/q*q*q\/(q*q**(2\/9)))**(-19\/5))**(-5) assuming q is positive.\nAnswer: q**(437\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2051\/(-21) - -5) + (-4)\/(-6). Let w = 173 + d. Is 27 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5130 and 3684290.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*q**4 + 0*q + 2\/3*q**2 + 0 + 5\/3*q**3 + 1\/3*q**5.\nAnswer: q**2*(q + 1)**2*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*u = r + 40*u - 2, -4*r = 2*u - 10 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49*d**2*s**2 - d**2 + 4*d*s**2 - 185*d*s wrt s?\nAnswer: 98*d**2 + 8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1799\/180 + 11\/36. Let i = 269\/66 - -1\/11. What is the common denominator of k and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.5, 4\/3, -0.3, -8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -255*p**3 + 2*p**2 + 24*p + 31. Does 121 divide m(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-58 - -772) + (-77)\/7. What is the third smallest value in 1, -1\/4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 1) + (26 - -13 - 27)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56274 divided by -24.\nAnswer: -9379\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 76620 (base 9) to base 7\nAnswer: 301056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 - 1)*(-w**2 - 5*w**2 - w**2) + (3 - 3 - 2*w)*(0*w + 5*w - 2*w) + (-4*w + 5*w - 2*w)*(-4*w - 2*w + 5*w) as t*w + u + x*w**2 and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1008)\/270*(8\/(-420)*-9)\/((-50)\/125)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 8:28 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4818*p. Let s(k) = -k - 32. Calculate l(s(x)).\nAnswer: -4818*x - 154176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 88789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7960, -7983, -8008, -8023, -8016, -7975, -7888, -7743?\nAnswer: -7528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 22 = 2*l, -3*l + 0*h = -2*h - 23. Suppose g = -1, -3*i = 2*g - 4 - 24. Let j = -251 - -266. Solve -l*s + j + i = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1566, -1562, -1556, -1548, -1538, -1526, -1512?\n\"Answer: r**2 + r - 1568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 o when four letters picked without replacement from {d: 4, o: 4, y: 6, l: 1}.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 + 2*t**4 + (-15*t**3 - 7*t**3 + 7*t**3)*(-10*t + 3*t - 3*t)*(-4 + 2 + 1) in the form h*t**2 + a + r*t**4 + j*t**3 + d*t and give r.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3025909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 + -22. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a**4*a*a)))\/(a\/(a**(-1\/2)\/a*a))*(a*a**(2\/5)*a*a)**(-2\/89))**(-35) assuming a is positive.\nAnswer: a**(-27559\/178)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 46944 and 864?\nAnswer: 140832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dwx when three letters picked without replacement from wwdgogoaooowoaaogxag?\nAnswer: 1\/2280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 5:21 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -235 * 0.0227.\nAnswer: -5.3345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.148 + -0.069. Let y = -0.173 + i. What is y rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = p - 0*p + 14, p + 9 = -3*s. Suppose 5*g - p*g = -m - 67, 2*g - 131 = 5*m. Suppose t - 14 = g. What are the prime factors of t?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 388, 1611, 3654, 6517?\nAnswer: 10200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c = 6535189 - 304689. Suppose 4*b - 9*b = -c. What is b rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58826611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -12846, -3, 1\/3, 4.57?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5029 or 5030?\nAnswer: 5030","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 51.6930684 to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3274129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -1\/6, -11\/2, -14169\/2?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (1 - (9 - 16)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -301 = -6*l + 3*l + 4*g, 2*l - 198 = 2*g. Suppose 4*k = -k + 2*o - l, k = -3*o - 19. Let c(w) = w**2 + 12*w + 19. List the prime factors of c(k).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 4*y**2 - 1. Let f be k(-4). Let p be (2 + f)*(-28 - -1). Let l = -18 - p. What is the remainder when 32 is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 12412626?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 28797409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t + 0*t**2 + 2*t**2 + 7*t**3 + 4*t**2 - 8. Let w(m) = -1 + 44*m**2 - 87*m**2 + 44*m**2 + m**3. Determine -b(n) + 6*w(n).\nAnswer: -n**3 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 1015)*(51\/(-14))\/(-51) + 1\/7?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, 1.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 657 = 225. Let t = m + -432. Solve -2*j = -t*j - 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 8*o**2 + 9*o - 10. Let v be z(7). Suppose 0*l - 25 = -2*w - l, v*w + l = 45. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooznonoooooono. Give prob of picking 2 n and 1 o.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-625*f**2 + 5*f + 625*f**2 + 2 - 2*f**3)*(58*f + f + 118*f) to l*f**2 + m*f**3 + i*f**4 + p + a*f and give l.\nAnswer: 885","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-135)\/(-420)*840\/30?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 60*s**2 + 2. Let v(n) = 20*n**2 + 1. Let l(c) = -3*t(c) + 8*v(c). Let m(h) = -h. What is l(m(w))?\nAnswer: -20*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v + 8. Let l = 4 + -11. What is the units digit of n(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5 + 1*(-2 + sqrt(2057))**2.\nAnswer: -44*sqrt(17) + 2053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 880\/7*b**3 + 54\/7*b - 62*b**2 + 0 - 32\/7*b**4.\nAnswer: -2*b*(b - 27)*(4*b - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a week in minutes?\nAnswer: 28980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 3*j**2 - 2*j - 3. Let k(r) = -2*r**2 + 5*r + 6. Let y be k(3). Let a(c) = 2 - y*c**3 + 3*c + 2 + 7*c**2 + c + 3. Calculate -3*a(s) - 7*p(s).\nAnswer: 2*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1462572.1 from -5856.89.\nAnswer: -1468428.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 7:14 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*u - 83*u = 2*f + 2, -6 = -u + 2*f. Solve 1261*t = 1262*t + u for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(6\/(-22)) - 4. Let z be w\/(4*(-5)\/(-60)). What is the greatest common divisor of z and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of q**8\/240 - q**4\/24 - q**3\/3 - 5*q**2. Let z(v) be the first derivative of y(v). Differentiate z(a) with respect to a.\nAnswer: 28*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**2 + 447*q - 889. Give a(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 15*o**2 + 103*o + 86. Calculate the lowest common multiple of 56 and z(-6).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 12:32 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*z - 32*z - 19 = -5*v, 0 = 2*v - 6. Let u = -123 - -125. What is the third smallest value in u, z, 0.9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 814 - 814. What is the third smallest value in -0.3, 0.9, h?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 51 = 8*b. Let l = 20 + b. Factor -219 + 2*v**2 + 2*v**l - 4*v + 219.\nAnswer: 2*v*(v - 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (20\/(-12) - -2) + (-2)\/6. Which is smaller: 2\/257 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - -61)*(-1)\/(-2). Let x = 28 - y. Let o be ((-4)\/x)\/((-6)\/(-9)). Solve v - 2 = 4*l, 1 = -o*v - l + 5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 9*s**2 - 2*s - 77. What is z(-10)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/19 in 0, 25, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 1)*(-2)\/4. Let q(h) = 0*h - 14 - 24 - h + 25. Let g be q(-15). Solve -n + 5 = o, 3*n - g = -2*f + 3 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 8) to base 13\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-414)\/84 - -6 - (-1 - 9\/(-6))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(95) - (-2*3*sqrt(95) - sqrt(95))) + sqrt(95)))\/(-2*(sqrt(180) - sqrt(180)*-4)).\nAnswer: -3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -23 + 13 + 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(408) + sqrt(408)*1)\/sqrt(12))\/(-1*2*sqrt(2)))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/7 - (-9)\/21. Let i(p) = p**2 - 2*p + 1. Let f be i(k). Suppose -f*y + 9*y = 20. Put y, -5, -1 in increasing order.\nAnswer: -5, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -61547068*a. Let v(q) = 3*q**2. Determine m(v(k)).\nAnswer: -184641204*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**3 + 130*a**2 - 700*a - 1960.\nAnswer: -5*(a - 14)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 3. Let t = -3 + 8. Suppose 0*k + 4*k = -4*q + 12, 33 = t*q - 4*k. Solve h - s*h = -3, -23 = q*p - h for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(40)\/sqrt(4) - (sqrt(200)\/sqrt(5) - sqrt(40)))\/((sqrt(125) + 1*sqrt(125) + sqrt(125))*6 + sqrt(125)).\nAnswer: 2*sqrt(2)\/95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 of a day in minutes?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -588, -1052, -1392, -1608, -1700, -1668?\n\"Answer: 62*h**2 - 650*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 925.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20153073, -40306147, -60459209, -80612253, -100765273, -120918263, -141071217, -161224129?\nAnswer: -181376993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4443, 4472, 4501, 4530, 4559?\n\"Answer: 29*t + 4414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 2:21 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 12*x**2 - 10*x - 15. Let d be a(-12). Suppose -5*c + d = 2*c. Solve -15*u = -10*u - c for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12212496 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -160, -239?\nAnswer: -318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + 2*l)*((-2*l**2 - l**2 + l**2)*(2*l - 3*l + 2*l) - l**2 - l**3 + l**2).\nAnswer: -6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 963 = -5*s. Let y = -213 + s. Find the common denominator of -99\/2 and (0 - y\/(-10)) + 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 594, 739, 882, 1023, 1162?\n\"Answer: -s**2 + 148*s + 447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*c + 14*c. Suppose c = -3*y - 0*s - 4*s - 2859, 3*s = -5*y - 4754. Let k = 2949 + y. What is k rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 150251 to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.5 - -217747951.\nAnswer: 217747949.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 180293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-86 + -3 + -11 - -11) + (-19 - (-4 + -11)).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.38 and 194.\nAnswer: -73.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5687 and 1603217.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 885385467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1728 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124 + 3605*v + 124.\nAnswer: 3605*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 0*v**2 - 4*v + 6 - 6 + 2*v**2. Let j(m) = -2*m**2. Determine j(b(p)).\nAnswer: -8*p**4 + 32*p**3 - 32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -27. Let v be (0 + 1*-5)*w\/65. Suppose v*s + 2*f = 24, -5*f = 4*s - 0*f - 49. Solve -3*g = k - 0*k + s, 0 = -g - 5*k + 1 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2*sqrt(34)\/sqrt(2).\nAnswer: -2 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i**2 - 3*i - 4. Suppose 3*a - 6 = 4*f + 4*a, 3*f + 3*a = -9. Let r(c) = -c - 1. What is f*n(t) + 2*r(t)?\nAnswer: -3*t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 6*c - 12 - 4*c - 2 + 6 - 3*c**3 - 2*c**2 in the form z + y*c + w*c**3 + a*c**2 and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1 - (-10021)\/22) + 3\/2 is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/11 (b) 1\/6 (c) 7 (d) 0.1 (e) -178\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3253\/21 + -155. Suppose p + 33 = 32. Is x less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one quarter of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -57, -68, -79, -90, -101, -112?\n\"Answer: -11*f - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -42416396 less than -0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.15 (b) -3 (c) -6 (d) -0.2 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 2*u - 15 - 10.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/2289 + 116743\/4578. Which is greater: 26 or c?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/16)\/u**16 assuming u is positive.\nAnswer: u**(-257\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 400 - 390. Let d(n) = 8*n - 78. Let m be d(k). Solve m*p = 3*p + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -97, 0, 144, -3.\nAnswer: -97, -3, -2, 0, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**2 + 2*l**2 - 4*l**5 + (3*l**3 - 9*l**3 + 0*l**3)*(l**2 + 2*l**2 - 12*l**2) + l**4 + l**5 - l**4.\nAnswer: 51*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 5669 divide 306120331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 144 = -3*u, -3*u + 5*d + 270 = 2*u. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3291210361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4 = 3*u. Suppose 2*w = 4*w - 2*z - 22, 4*w - 52 = u*z. What is the remainder when (44*1)\/(4\/4) is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.9131361 rounded to 2 decimal places?\nAnswer: -4.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/107 in 3, -2\/9, 5\/22, -3?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-12)*q*q**10*q\/(q\/(q\/(q\/(q\/q**6))))*q\/(q\/(((q**7\/q)\/q)\/q)) assuming q is positive.\nAnswer: q**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -8, -5, 0 in decreasing order.\nAnswer: 3, 0, -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2162942459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-3)\/(-8)*(-54)\/(-162) + 254\/16 and 720.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 617*p**2 + 2*p + 4. Determine i(-1).\nAnswer: 619","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 6. Let q be j(0). Let h be 1240\/52 - q\/39. Suppose -5*l + l + 48 = 0. What is the highest common divisor of l and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*o + 6*o**4 + 7*o**2 + 183*o + 1 - 163*o in the form a*o**3 + t*o**4 + d*o + x + u*o**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -355 - -228. Let q = 136 + f. Solve 1 - q = 4*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -99, -909, -4.\nAnswer: -909, -99, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a kilogram in grams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*r**2 - 18*r**2 - 55*r**2)*(6 - 13 + 4)*(-1 - 2*r + 1).\nAnswer: -354*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4602 - -254.5398. Which is the second biggest value? (a) -0.5 (b) 4\/9 (c) 4 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 5433511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 395357366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 500.\nAnswer: 1\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 38704 a multiple of 195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4 - 140 = 4*u, -4*u + 5*i = 180. Let h = u - -36. Let n be -2 + 83 + 16\/h. What is the highest common divisor of n and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11d - -5b?\nAnswer: -a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + 1*sqrt(11)*-1 + ((1*sqrt(66))\/sqrt(6))**2 + 4.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 5*w**3 + 2*w**2 - 5*w - 1. Let j(c) = -14*c**3 - 6*c**2 + 14*c + 2. Let y(s) = 17*d(s) + 6*j(s). What is the remainder when y(4) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2305150 + -26?\nAnswer: 2305121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -460 - -10117\/22. Is -1 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -1. Let c(s) = s - 1. Let w(a) = 3*a + 2. Let y be w(-3). Let u = -4 - y. Suppose f + 5*v + 26 = 0, -3*v - 6 = u*f + 12. What is f*p(r) - c(r)?\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 170908605 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 691 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express w - 8 - 16*w**3 - 11*w**3 - 2*w**2 + 7 - 3*w as y*w + m + a*w**3 + h*w**2 and give a.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -703, -2, -4, 1, 4 in increasing order.\nAnswer: -703, -4, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -166, -1, -12 in ascending order.\nAnswer: -166, -12, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/4, 0.5, -0.24, -0.3, 2182, 0, -0.13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123 + 101 - 220 = 22*f for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 8 = -4*a. What is the greatest common factor of 8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**1*z*z)\/z)**(-33)\/((z**(-1\/6)*z)\/(z**6*z)) assuming z is positive.\nAnswer: z**(-359\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -281 (base 12) to base 16.\nAnswer: -181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*c - 25*c + 1931 = 1988 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 82.7 - 83. Let l = -437\/14350 - -3\/287. Put h, -5, l in ascending order.\nAnswer: -5, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*p**2*r**4 - 4*p**2*r**3 + 639*p**2*r + 3*p*r wrt r.\nAnswer: 300*p**2*r**2 - 24*p**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 423 + -1126. Let z = 743 + j. What is the remainder when 51 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.1 - 2.8. Let x be -7*(-1)\/(-3) - -2. What is the closest to 0 in o, x, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1187796?\nAnswer: 2, 3, 31, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c*l**5 - 283*c*l**2 - 57*c*l + 2*l**3 - 3*l wrt l.\nAnswer: 20*c*l**3 - 566*c + 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (11 + -21) - -4 - 1*6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 696382 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 16*u**2 - 30*u - 104. Let z be x(18). Suppose -2*a - 2882 = 2*h - 4*h, -z*h - 5*a + 5746 = 0. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(2\/17)))**(-13)*(b*(b**1*b)\/b)\/b**(-5) assuming b is positive.\nAnswer: b**(145\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174672?\nAnswer: 2, 3, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1870 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (6 - (-9 + -1))) + (-9 - -2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -739 - -1106. List the prime factors of k.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3534 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -122 + 124. What is the closest to z in -8, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 7. Let y be (-1 + 0)*(-12)\/p. Let h be ((-64)\/(-6))\/(y\/1125000). What is h rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28558212 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-7) + 310\/(-434)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48791 - -118134. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2985, -834, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15089098 or 15089093?\nAnswer: 15089093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 135, 139, 145, 153, 163?\n\"Answer: w**2 + w + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25143 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**4\/7 + 186*r**3\/7 + 5900*r**2\/7 + 4896*r = 0.\nAnswer: -18, -8, 0, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q + 24 + 3774 = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 10*p - 9. Let b(k) = -1 - 5 + 15*k - 8*k. Let c(d) = -7*b(d) + 5*u(d). What is the units digit of c(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/818216 and -111\/760.\nAnswer: 4091080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kzkz when four letters picked without replacement from {z: 4, o: 1, k: 6}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/5))**(-8\/9)*(f**4\/f)\/(f\/(f\/(f*f\/f**(-5)))) assuming f is positive.\nAnswer: f**(-164\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 23*r**3 + r - 1. Let q(c) = c - 1. Let u be q(-3). Let f be u*1*(-2)\/8. Is i(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 160*m - 386*m - 7006 for m.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.28 - 0.19. Let r = -0.49 + z. Let y = -2754 - -2759. What is the fourth smallest value in 2, y, 2\/7, r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z**3 - 4*z**2 + 6*z - 3. Let a be j(3). Suppose -o + 2*n - 14 + a = 0, -3*o - 2*n = -130. What is the greatest common factor of 4 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-5)\/(-10))\/1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*i + 216*i - 74*i - 65*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2159 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 12:01 AM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -15*w**2 - 4*w - 11. Let j(d) = -d**2. Let o = 5 - 6. Let s(m) = 5*m**2 + 2*m + 6. Let g(q) = o*s(q) + 3*j(q). Give -6*f(h) + 11*g(h).\nAnswer: 2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28760207 and 6146?\nAnswer: 3073","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -94.051 - -94. Let j = a + -0.049. Which is bigger: -26\/5 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*t + 7*t. Suppose -4*f - l = -3632, -l + 3640 = t*f + 2*l. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44836942 to the nearest integer?\nAnswer: 6696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Is 857622587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 105628295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + h = 4 + 475, 5*h + 5 = 0. Is 20 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 6266 = 3*o, 1595 + 4659 = 4*n - 3*o. Let m be (n\/(-2))\/(1*3\/24). What is m rounded to the nearest one hundred?\nAnswer: -6300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -70*h. Let d(s) = -14*s. Give -11*d(l) + 2*m(l).\nAnswer: 14*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-13)\/(78\/(-36)) + 1415. Suppose 8*b - l = 555. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 67.\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5.644, 3, -5, 0.4, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s + o + o + 6, 4*o + 10 = 2*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 3 (b) -2\/9 (c) 2 (d) -2\/11 (e) -5\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000606 to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 120 - 117. Which is the third biggest value? (a) 2\/7 (b) n (c) -3\/2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h. Let f be n(-5). Let d = 2 - f. Let m(v) = -2*v + 4. Let y(t) = -1. Let p(a) = -3. Let s(u) = -4*p(u) + 11*y(u). Calculate d*s(i) + m(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 628\/(-16) + 3\/(-4). Let b be (j\/6)\/(5\/30). What is the units digit of -1 + (1 - b - 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*t + 23*t + 119 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 106, 175, 244?\n\"Answer: 69*z + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60669.23 + -29.\nAnswer: 60640.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/1308 and 81\/16.\nAnswer: 5232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 1. Let d be 4 + (4 - 3) + b. Solve 0 = -d*f + 1 - 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 118955 times 4.6\nAnswer: 547193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/28024 and 9\/305891.\nAnswer: 75860968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.05 - 1.18. Suppose -2*s - s - 13 = 2*v, -v = -3*s - 7. Which is greater: f or v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0 + 6 + 3 - i - 1 wrt i.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 898.\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1102.\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 886741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, m: 1, f: 4, j: 2}. What is prob of sequence jfjf?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/((-2)\/4*2). Suppose -s*x + 17 = -73. Let c(n) = -n**3 + 5*n**2 - 2*n. Calculate the least common multiple of c(2) and x.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z*z**(-7)))\/z**(-1)*(z**(2\/3)*z*z)**(-9\/14) assuming z is positive.\nAnswer: z**(37\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96698371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*x + 187*x = 1009679. Is x a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -574 + 576. Put u, 4, 45 in descending order.\nAnswer: 45, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) -5 (b) 10.6 (c) 36\/121\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1304086 is divided by 811?\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5752 + 1336 + 167 = -149*w + 3648 for w.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*z + 12*z + 19*z)*(-6 - 1 + 5)*(18*z + 215 - 215 - 3*z + 4*z - 3*z + 2*z - 2*z - z + (-2*z + 0 + 0)*(-1 + 2 + 1) + 2*z - 1 + 1).\nAnswer: -1144*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 10*o**2 + 22*o + 14. Let l be (-40)\/(-15)*(15\/4 + 0). What is the tens digit of z(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 - 5163*z - 8248.\nAnswer: -(z + 1031)*(5*z + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -151*x - 1060. Determine y(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 0.04695134\nAnswer: -0.02347567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 919 = -7. List the prime factors of h.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q = -o + 36, -2*q - 3444 = -5*o - 3450 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/12*26*(-2)\/(-364).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 3*p + 3. Let f(t) = t + 11. Let z be f(-9). Let r(q) = 3*q**z + 4*q**3 - 3*q**2 - 18 - 14*q + 4. Give -14*k(n) - 3*r(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(54)\/sqrt(2) + sqrt(2187) + -1*sqrt(2187) + sqrt(2187))\/(-5*(sqrt(27)*-6)\/sqrt(3)).\nAnswer: 7*sqrt(3)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, m: 6, y: 1}. What is prob of picking 1 y, 1 a, and 1 m?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*1 - (-3 - -2). Let h = x + 2. Suppose z = s, 2*z - s = -h + 1. Solve -5*a - 20 = 2*i, -17 = 3*i + 4*a - z for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 233974398 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1935, -1940, -1947, -1956, -1967, -1980?\n\"Answer: -u**2 - 2*u - 1932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g - 1. Let t(j) = 31*j**3 + 16*j + 6. Let x(h) = 6*n(h) + t(h). Find the second derivative of x(b) wrt b.\nAnswer: 186*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 82856416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(-11)*k**3*(k*k**(-2\/3)\/k*k)**(-49))**(8\/11) assuming k is positive.\nAnswer: k**(-536\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 7. Let o = 0.42 + 0.58. Which is the nearest to o? (a) -5 (b) u (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -5*i + 3. Determine u(-5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*f**2 + 6 - 20 + 7 + 7.\nAnswer: 13*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1499*n + 39823 + 87423 = -4914*n + 24796 for n.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09313 - 11.\nAnswer: -11.09313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11\/258, 3\/7, -3, 1\/12, -2, 2 in ascending order.\nAnswer: -3, -2, 11\/258, 1\/12, 3\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-3) + 2 + 286\/(-231)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208 = -39*a + 13*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27.4 - -3.4. Let q = r - -25. Let s = q - -4. What is the nearest to -1\/2 in 2\/11, 0.4, s?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 10*w**2 - 45*w + 41. What is the hundreds digit of h(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*r + 5 = -7*i, 0 = 4*i - 5*r + 21. Solve 2*z = -p, 5*p + 10 = z - i for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -24\/11, -0.3, -3714, -4?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/14)\/((424\/(-371))\/(-4))*-12.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4791214 divided by 2\nAnswer: -2395607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 3*n**6\/2 - n**5\/20 + 655*n**4\/12 - 10*n. Find the third derivative of w(g) wrt g.\nAnswer: 1080*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*z + 186 - 388*z**2 + 429*z**2 + 371 - z - z wrt z.\nAnswer: 82*z - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and 157.23.\nAnswer: 1886.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**3 + 117*u**2 + 5*u + 178*u**2 - 15 - 292*u**2 to c*u + i + h*u**3 + a*u**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -1237*q**2 + 4935*q + 31. Determine j(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18002801*o**5 + o**2 - 9808965*o - 4 wrt o?\nAnswer: -360056020*o**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*a - 230, -3*u - 368 = -3*a - 29. Is 14 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 51*c - 616. What is v(-31)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -638200 divided by -63820\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7105 times 0.5?\nAnswer: -3552.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/5 + 19\/5*n - 133\/5*n**3 + 132\/5*n**4 - 36\/5*n**5 + 16\/5*n**2 = 0. What is n?\nAnswer: -1\/6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/3*(-342576)\/(-43056)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(-2*o**2 - 1 + 1) - o**2 + 1 - 1 + o - o**2 - o + (-385*o**2 - 181*o**2 + 322*o**2)*(3 - 3 + 1)*(-1 + 1 - 2).\nAnswer: 490*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qppq when four letters picked without replacement from pqqqpp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25304650 is divided by 645?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 273864?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2834937 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4)\/(((-1)\/(-96))\/(-1))*5200\/(-7800)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 147, 319, 559, 867?\nAnswer: 1243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-224)\/(-21) - 6\/(-18). Let w(u) = -2*u**2 + 23*u - 9. Determine w(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k**2 - 10*k + 1. Let n(g) = -g**2 - g + 1. Let p(v) = -b(v) + 2*n(v). What is p(-4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (62 + 1 - 65) + -20\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 202312?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (12 + -22 + 9 + 7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -283.074 - -282. Let g = 0.074 + m. Which is the smallest value? (a) g (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 60*f**2 - 5*f - 5. Let i(w) = 743 - 18*w + 134*w**2 - 761 + 76*w**2. Determine -5*i(p) + 18*r(p).\nAnswer: 30*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -76 - -2ac?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -5*p - 148*u + 146*u - 93, 0 = -4*p - u - 129 for p.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 26 = 2*n, -3*n + j + 25 = -0*n. Suppose -4*v = -n - 9. Solve 0*d + v = 2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 45105, 45118, 45147, 45198, 45277?\n\"Answer: f**3 + 2*f**2 + 45102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1222 - -2087. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.791215 litres in millilitres?\nAnswer: 791.215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 3\/4 (c) 4.3 (d) -0.2 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(10\/(-33))*(140\/21)\/(-5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 8*z + z**2 + 3 + 1 + 1 - 18*z. Let i be o(9). Let h be -32001 - (6 + -8)\/(-2 - i). Round h to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1013 and 87.\nAnswer: 88131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 6*y - 10. Let n(q) = 3*q + 2. Let d be n(2). Calculate the highest common factor of y and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-424)\/16)\/(2\/(-12)). Let r = t - 107. Calculate the highest common divisor of r and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 10\/8)\/(52 - 53)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 5992802.\nAnswer: 2\/2996401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/6032 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -75619 + -61?\nAnswer: -75680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 m, 1 j, and 1 y when four letters picked without replacement from ljywm.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 7 - (-8 + 8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 199\/3 - 89. Calculate the common denominator of 31\/3 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((-3*3*sqrt(119))\/(sqrt(70)\/(sqrt(60)\/sqrt(6) + sqrt(10))) + -2))**2.\nAnswer: 648*sqrt(17) + 49608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(7\/5)*(g\/(g\/g**6))\/g)**35 assuming g is positive.\nAnswer: g**259","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e7 + -225?\nAnswer: -13e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2\/3 + 131645*u + 394940\/3.\nAnswer: -5*(u - 78988)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (7 + -7 - -10) + 2\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -7. Find the common denominator of 13\/20 and 1782\/352 + (g - 0).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**3 + 28*k**2 + 16*k - 5. Let c(g) = -4*g**2 - 90*g - 31. Let b be c(-22). Is n(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 305487 divided by -6\nAnswer: -101829\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -681*n + 378*n - 6666 = 0 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 63 = 7. Let g = r + 57\/4. What is the closest to g in 3, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 46. Suppose 5*n + 7 = f. What is the greatest common divisor of n and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 261*z**3 - 24*z**2 wrt z?\nAnswer: 1566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -352 - -357. Suppose -16*d + 10 = -14*d. Solve -w*m + 5 = -d*l, 0 = 3*m + m + 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 46.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5320*j**3 + 2660*j**3 + 2679*j**3.\nAnswer: 19*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5 = 0, 2*o + 16*q - 14785 = 17*q. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 282\/(-90) - (-1 + -2). Let r = -3 - -3. Which is smaller: k or r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + -3 + -27 + 89?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g - 3*g. Suppose g*z - z = -4*w + 17, -w = -3*z - 7. Solve 0 = 5*b + 15, -h + w*b + 16 = 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 28888, 27028, 25168, 23308, 21448?\n\"Answer: -1860*l + 30748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/36*-12 + (0 - -5). Let z(b) = 2*b**3 + 8*b**2 + 2*b - 4. Let o be z(-6). Calculate the common denominator of -12\/7 and w - (-4)\/(o\/(-235)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12220 + -22?\nAnswer: 12121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1447, -2\/7, 121 in descending order.\nAnswer: 1447, 121, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4869553856.\nAnswer: 2, 76086779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114187?\nAnswer: 89, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 603*u + 169*u + 13824 = 4*u for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*o**2 - 3 + 24*o**2 + 13*o**2 - 2*o + 1 as y*o**2 + b + p*o and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47111181*f**5 - f**2 + 1182314*f?\nAnswer: 2826670860*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48098*s**3 + 2310*s.\nAnswer: -288588*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2502140.7us?\nAnswer: 0.041702345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148396363 is divided by 1501?\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - 5*p**2 + 2*p**2)*(-5 + 5 - 13*p)*(1 - 2 + 0).\nAnswer: -13*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 242 and 242 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000511754757 to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and -0.212055.\nAnswer: -0.612055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -67941 and -67940 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*z**2 - 36 - 27*z**2 - 14.\nAnswer: z**2 - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -94 + 98.1. Let w = c - 4. Let r be (-5)\/(-15)*3*1. Which is smaller: r or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1609 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/17? (a) -0.39 (b) -3\/5 (c) -422 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1700?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12102 by 48627.\nAnswer: -4034\/16209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18840 - 13067 = 251*t for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-21)*((-1313)\/(-606) + (-2)\/3)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -487244 (base 10) in base 7?\nAnswer: -4066352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1051a7 - 5?\nAnswer: -105201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4*p = -16, -5*h - 4 = -4*p + 12. Let w = -301\/40 + 65\/8. What is the closest to h in 0, 0.1, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w + 10316 - 66382 = 0. List the prime factors of w.\nAnswer: 2, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -70*v**3 + 6*v**2 + 15*v - 34. Let p be i(2). Which is smaller: -533 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 994677640 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bjx when three letters picked without replacement from {x: 5, n: 3, b: 3, j: 2}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*o + 55*o + 3*o**3 - 3*o**3 - 11*o**2 + 14*o**2 - 2*o**3 wrt o.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15699194.\nAnswer: 2, 7, 17, 65963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0 + 17 = 0. Let a = o - -65. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 413 and 5723.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -14*d + 452, 0 = -2*s + 3*d - 1255 + 1166 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (908\/6)\/(-1). Let h be 371\/6*(-10)\/4. Let f = h + r. Find the common denominator of f and 17\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 6 = -u. Suppose 4*l - j - 6 = 0, 3*l - j - j = 7. Suppose -4*r = -3*f, 0 = -u*r + 2*f + l. Solve b + r*x = 1, -6*b - x = -b - 19 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*a - 346 + 202 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -x**4\/24 - x**3\/3 + 21*x**2. Let v(d) = -d. Calculate c(q) + v(q).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1346809?\nAnswer: 41, 107, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -177.841 less than -232.844?\nAnswer: -55.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*a - 27*a - 10*a.\nAnswer: -104*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 902 - 126. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 10. Let n be (-4 + (-28)\/(-12))*w. Suppose -6 = -n*c + 4. Solve 4*j - v - 1 = 0, -c = j + v + 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -171600 to the nearest ten thousand.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one tenth of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -56*d - 964. Is 12 a factor of h(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11880 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -796848?\nAnswer: -1\/265616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 1 - 3) + (1 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 455 divided by -4\nAnswer: -455\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87157487.\nAnswer: 17, 301583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 130200 (base 5) in base 13?\nAnswer: 23b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10421452 (base 6) to base 7\nAnswer: 2445344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 5*y - 1. Let v(c) = -2*c - 8. Determine t(v(x)).\nAnswer: -10*x - 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 46.88 * -6.7676\nAnswer: -317.265088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o + 23. Let x be t(4). Suppose 4*u - 31 = -x. Solve -9 = 2*j + u for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*s**4\/2 + 565*s**3\/2 + 4981*s**2\/2 - 5509*s\/2 = 0. What is s?\nAnswer: -7, 0, 1, 787\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3630*b + 3622*b - 40 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 469089169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*r**3 - 3*r**3 - 3*r + 29*r**4 - r**2 + 5*r + 4*r**4 to the form w*r + n*r**4 + y*r**2 + t*r**3 + x and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50)\/(-8) + 33\/(-132))*(-2)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/17 - 19\/34. Suppose 5*v + z - 14 = 0, 0 = -3*v + z - 3 + 13. Let j = -2.2 + 0.2. Sort j, v, i in ascending order.\nAnswer: j, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/1522176 and -1\/761088.\nAnswer: 1522176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6459*l - 8746 = -6477*l + 1856. Calculate the remainder when l is divided by 99.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -60, -78, -100, -126?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 2*c**2 - 13*c + 1. Suppose -d = -6 - 3. Is u(d) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 - 8 + 7)*(3 + 2 + 1)*(4 + 2*x - 4)*(-3*x + 4*x - 3*x).\nAnswer: -552*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -6*b + 5*b - 14*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - 2*i + 116, -2*h - 89*i + 89 = -90*i for h.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4453071 and 6361530?\nAnswer: 44530710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m - 3*m + m - 5*m**3.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -1 - 12. Suppose -7*r - n = 1. Suppose 167*p - 165*p = 2. Which is the nearest to r? (a) 4 (b) p (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/((-2)\/(-20) - 0). Let d(p) = -3*p**3 + 25*p**2 - 5*p - 15. What is the remainder when 6\/9*3 + r is divided by d(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -5548874204565?\nAnswer: 5548874204565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 6. Suppose 2*y + 189 + 397 = 2*d, -2*d - x*y = -600. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and 2919396.\nAnswer: 2919396.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**2 + 2*p + 3. Let u be (-7)\/((-385)\/(-305)) + 12\/22. Let f(c) = 1. Give u*f(d) + k(d).\nAnswer: -2*d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 234?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1032*g**4 - 1310*g**4 + 2336 - 2331 + (-3 + 3 + 2*g**4)*(-3 + 3 - 2).\nAnswer: -282*g**4 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7303383 is divided by 235593?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -24 from -0.41.\nAnswer: 23.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 144289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*g**2 - 2*g - 13*g**2 + 0*g + 2*g.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1330016905.\nAnswer: 5, 7, 613, 61991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2*171\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 9 = -c, -l - 6 = 2*c - 5*c. Suppose f - 2*w = -1, 4 = 2*f - f + c*w. What is the highest common factor of 2 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.5747253 decades?\nAnswer: 0.05747253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/6*12*3\/(-6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7566 times -0.2\nAnswer: -1513.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1593 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 314208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253074176 is divided by 86?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 25 + -13 - -1 - 12\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 3*b - 9*b - 33 + 31 + 1.\nAnswer: -6*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 76283316 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 15037814 (base 9) to base 7\nAnswer: 120312442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141981 - 58885 = 52*w. What are the prime factors of w?\nAnswer: 2, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4899803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*n - 6 - 10\/3*n**2.\nAnswer: -2*(n + 3)*(5*n + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 542 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -924, -811, -538, -27, 800, 2021?\nAnswer: 3714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8888333 to the power of 1\/3, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 33827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 8:48 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2111 + -2106. Let z = -0.08 - 2.92. Let v = 3.3 + z. Which is the second smallest value? (a) p (b) -2\/5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -52, -106, -160, -214, -268, -322?\n\"Answer: -54*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 137 + 74 = -71 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 10:48 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011100110100011111111 (base 2) in base 11?\nAnswer: 1798172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2507992 by 1253996.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 - -11) + 4 - (0 - (-3 - -7)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**3 + 4*h**3 - h**3)*(-1 - 15 + 0)*(3 - 3 + 3)*(-2*h - 1 + 1).\nAnswer: 192*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -25, -37, -51, -67?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -3571\nAnswer: -357.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -17.91914646 and 15247?\nAnswer: 15264.91914646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 5*o + 1, 5*o - 21 = -4*v - 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-29)\/(-174) - 2\/3 - (-150424)\/16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -740, -1855, -3724, -6725, -11236, -17635, -26300, -37609?\n\"Answer: -63*g**3 + g**2 - 677*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 2*j - 10, 5*i + 2*j = 7*i + 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 23 - (-36 - (-3 - 56))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -17 - 6\/(-4)*-2. Let h be 2\/(-10) - 4\/u. Solve h*o + 5*w - 3 = -3*o, 7 = 2*o + 5*w for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28 or 3297?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence acc when three letters picked without replacement from qqqqcccqayztzqyzyyy.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 4:11 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/10 + (-52)\/(-10). Suppose -52 = t*c + 13. Let b(l) = l**3 - 3*l**2 - 66*l + 14. Let z be b(-7). Is z > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3136\/104 - (72 + -64 - -21).\nAnswer: 15\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -12\/13 (b) -0.24 (c) -2 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 628416 is divided by 1571.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gqg when three letters picked without replacement from ggeggeeqeegeeegqgeq.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211211.\nAnswer: 7, 11, 13, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 285860\/300 - (-4)\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-13)*a*a\/(a**17\/a))**(-2\/27) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-534)\/(-14) + 6\/(-42)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73235801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b + 43 = t, -621*t - 2*b = -619*t - 22 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214*g = 216*g - 20. Solve 0 = g*k - 329 + 309 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/11 - (-21128)\/(-44). Sort t, -3, -4.\nAnswer: t, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-160 - -153) + 0 + 1 + 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n**2 + 21*n - 73. Let m(w) = -2*w**2 - 20*w + 73. Let o(z) = 4*m(z) + 3*p(z). Let a be o(7). Solve a + 1 = -3*t - 2*u, t - u + 8 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102 + 1 - (-151 - -131 - (-43 - -3) - 25).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 4*t + 32 = 0, -h - h + 4 = -2*t for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*j - 5*u = 18*j - 75, 2*j + 45 = u. What is the tens digit of j\/5 + 1672 + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -59.12 + 59. What is the nearest to 0.1 in -3\/2, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of v**4\/24 - 11*v**2. Let h(j) = -14*j - 20. Let t(p) = 11*p + 16. Let u(c) = -4*h(c) - 5*t(c). Determine u(d(z)).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -3*u - 4, -4*h - 15*u + 10*u = 36 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 102000 (base 3) to base 12\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1234327 divided by 3?\nAnswer: -1234327\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1061613230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 0 + 11\/2*q**2 - 7*q - 1\/6*q**3. What is the remainder when m(-18) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58 + (-19 - -50) + -17\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000394138603 to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -431553 - -22021?\nAnswer: -405532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 185*t + 7971. Determine q(-43).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*o + 107*o - 65*o to a + g*o and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/6 + 0 + -1. Let m = -0.6 + 0.7. Put m, f, -3 in descending order.\nAnswer: m, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11912 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 245 and 5530910.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-588)\/(-882) - (-12766)\/3 is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -5*g - 3*a + 10, 0 = -2*g + a + 15. Suppose -g*y + 10 = -10. Solve -3*x + 13 = y for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3717 (b) -0.6 (c) 2\/15 (d) 0.44 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + x**2 - 15*x + 2. Suppose -3*n = -4*f - 26, -f + 9 = n - 2*f. Let o be v(n). Suppose 0 = -5*c - 167 + o. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -496, -3\/7, -0.1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 5:36 AM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**5 - 3*a**3 - 202*a**2 wrt a.\nAnswer: -60*a**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((2*sqrt(256))\/sqrt(8) + (sqrt(128) + sqrt(128) + 0 - (sqrt(8)\/sqrt(4) + sqrt(2) + 0))) + -5.\nAnswer: -132*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, e: 1, r: 1, h: 1, v: 1, p: 2}. Give prob of sequence hh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -29, -47, -55, -47, -17, 41, 133?\n\"Answer: h**3 - h**2 - 22*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1695*n + 197*n - 44940 for n.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 253 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1192, 2586, 3984, 5386, 6792, 8202?\nAnswer: 9616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 8*i**2 - 9*i - 1. Give r(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-1*4\/4)\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**3 - 5*i**2 - 2*i + 7. Let v(d) = -d**3 - d**2 - 3*d + 13. Let x be v(2). Let z(c) = -2*c**3 + 3*c**2 + c - 4. Determine x*z(f) - 3*y(f).\nAnswer: f**3 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - j - 2*j**2)*(-5*j**3 - 3*j**3 + 4*j**3) - j**5 - j**5 + 4*j**5 - 116*j**5 - 72*j**5 + 151*j**5 + 2*j**5 + 0*j**5 + 0*j**5.\nAnswer: -25*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -287 + 283. Let g(r) = -r**3 - 4*r**2 - 2*r - 1. What is g(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 7 = 4*u + 3, -u = 2*j - 6. Solve -j = 5*b + 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuuuuuuuuuuuuuou. What is prob of sequence uou?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -2, 2, 1, -8, 4 in decreasing order.\nAnswer: 4, 2, 1, -2, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-59)\/59)\/((-6)\/14).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a millennium?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -157841 and 272.5?\nAnswer: 158113.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) 4 (b) 8738 (c) 0.3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 16*n**2 - 13*n - 22. Determine p(-15).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 899 - 607*q**2 + 1507 + 12*q**3 - 51 - 5*q**3 - 4*q**3 wrt q.\nAnswer: 9*q**2 - 1214*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaatta. What is prob of picking 2 a and 2 t?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -437, -1, 2\/3, -2\/3, 6 in ascending order.\nAnswer: -437, -1, -2\/3, 2\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 11*s + 4*s**2 - 2*s**2 - s**2 - 1 - 10*s. Let o(i) = 4*i**2 - 1. Let w(j) = 2*o(j) - 6*p(j). Determine z, given that w(z) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 16 = -5. Suppose w + 5*p + l = 0, 4*w - 23 = -w + 4*p. Suppose w*z = 6 + 12. What is the greatest common divisor of 6 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.072 + -0.043. Let y = n + -12.529. Let l = y + 12.50000261. What is l rounded to 7 decimal places?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1316988 + 59.238\nAnswer: 59.3696988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18726 + 179404 = -3520*t - 89242 for t.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -20*o + 161. Give g(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 399*f - 3579. What is v(9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -z, 0 = 3*z - n - 3*n + 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 19*q = 14*q - 60. Solve 29*r = -q + 89 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -30 + 30043?\nAnswer: 30013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10, 1, -1\/2, -0.7?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, r: 13, x: 2, n: 3}. What is prob of picking 1 n and 1 x?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -116541.1 rounded to the nearest 100?\nAnswer: -116500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o**5 - 695*o**4 + 5370*o**3 - 11395*o**2 + 6710*o = 0. Calculate o.\nAnswer: 0, 1, 2, 11\/2, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**5\/13 - 5414*v**4\/13 + 185898*v**3\/13 - 1342090*v**2\/13 + 2741000*v\/13 = 0.\nAnswer: -2741, 0, 4, 5, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17504.\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from rrrrrrrnrrn?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*z - 168644 + 66406. List the prime factors of z.\nAnswer: 31, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eemqqmeeqeqemqqquq. Give prob of sequence qq.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**2 + 301530*u - 301532 = 0.\nAnswer: -150766, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a8 + 2259?\nAnswer: 2161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 5.145028 milligrams?\nAnswer: 0.000000005145028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002776825817 to seven dps.\nAnswer: -0.0000278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -38, -97, -188?\nAnswer: -311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 14, q: 5}. What is prob of picking 2 b?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/255 and 13\/40.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away -0.0025?\nAnswer: 5.0025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205*p - 377 = 648. Suppose -2*x - 4*j = -3*x, -4*x - 4*j = -100. Suppose -p*q - x = -q, f = 5*q + 216. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55731?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 39429083?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -39.588638 to 1 dp.\nAnswer: -39.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3\/4 + 81*h**2\/2 + 3891*h\/4 + 9855\/2.\nAnswer: -3*(h - 73)*(h + 9)*(h + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15661 * 2.6619.\nAnswer: 41688.0159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.3 plus -946643?\nAnswer: -946697.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11961 at most 11958?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of 4*v**3\/3 - 5. Factor j(w).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 + 24. Let u = -2\/5 - -17\/30. Let f = -2.9 + 3. What is the nearest to f in -4, b, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 12, a: 5, h: 2}. Give prob of sequence jja.\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 204, 346, 584, 918, 1348, 1874, 2496?\n\"Answer: 48*s**2 - 2*s + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 25*i + 27*i = -18, 4*i = -5*a + 55 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-4 - 1) - (19 - (40 + -18))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/2*1\/(176\/33)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 71262 and 432066.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from pmppmpmimipmp?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(2\/3))\/(x\/(x\/((x**6*x)\/x))) assuming x is positive.\nAnswer: x**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 16*r**2 + 141*r - 21. Give l(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3*u + 1446. Suppose -k + 0*m = -2*m - 184, 4*k + 5*m - u = 0. Suppose -2*r - 74 + k = 0. Does 18 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*w - 228*w = -110*w + 812 for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -36461\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/312 and 89\/14560.\nAnswer: 43680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/((-114)\/(-45))*2\/20.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63004149 divided by 3.\nAnswer: 21001383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence emu when three letters picked without replacement from {u: 9, m: 1, e: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 1313.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -434 (base 5) to base 2\nAnswer: -1110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10171015 (base 8) to base 4\nAnswer: -20033020031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 724, 2559, 5626, 9931, 15480, 22279, 30334?\nAnswer: 39651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.027 + 0.027. Which is the nearest to l? (a) 1 (b) 3\/4 (c) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.14 - 0.16. Let w be -2*5\/(1 - 21). Which is the nearest to w? (a) -2.2 (b) -4\/3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -5 - (5 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 914406 a multiple of 554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*t + 18 = -7*t, -5 = t. Suppose 0 = -k - 2 + 4. Suppose 114 = 5*v - l, z*v + k*l - 36 = -0*v. What is the least common multiple of 6 and v?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14536, -29069, -43602?\nAnswer: -58135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 5*a - 4. Let z = -17 + 14. Determine r(z).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -4\/3*f**3 + 0*f - 5 + 0*f**4 + 1\/6*f**6 + 0*f**2 + 0*f**5. Find the third derivative of u(k) wrt k.\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9147 is divided by 112?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of v**6\/3 + 18*v**5\/5 + 13*v**4 + 68*v**3\/3 + 21*v**2 + 10*v - 34. Suppose r(u) = 0. Calculate u.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 803211 is divided by 100400.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 828 is divided by 619?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 269170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, z: 4, a: 2}. Give prob of picking 1 a, 2 z, and 1 l.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -17*f**3 + 9*f**2 + 3. Let c(u) = 38 - 9 + 2*u**2 + 2*u**2 - 28 - 9*u**3. Determine -7*c(i) + 3*v(i).\nAnswer: 12*i**3 - i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 27148057 to the power of 1\/2, to the nearest integer?\nAnswer: 5210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 8*q + 2. Let t be m(7). Let w = 53432\/15 - 3562. Which is the smallest value? (a) 3\/7 (b) w (c) t (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*x + 9*x = 12*x + 11*x + 1764 for x.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 209 = 7*n + 10*n for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/(840\/(-18)) - (-258)\/1010. Are b and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 3*t + 13. Calculate the remainder when 67 is divided by i(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/6*1*-3. Let v be q\/(-3) - 16\/(-6). Suppose 9 = 3*l + 2*p, -l = -v*l - 5*p + 3. Calculate the smallest common multiple of 8 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2022*n - 5316. Does 376 divide t(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -13*d - 9. Let g(t) = 6*t + 4. Let w(v) = 9*g(v) + 4*o(v). Let k(u) = 1 + 4 + 3*u - 5. Give k(w(q)).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18493.8 + -18379.801. Let a = -1.199 + n. Let l = -110 + a. What is l rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 535962?\nAnswer: 2, 3, 7, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13679*y - 13686*y - 13682*y + 1 + 41061*y.\nAnswer: 14*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 2475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6143.5805 and -0.05.\nAnswer: 307.179025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-40)\/(-8) + -6 + 0. Suppose 0 = 2*x + m + 5 - 1, x + 3 = -m. Let o be 3*(16\/12)\/x. Put 1, f, 5, o in decreasing order.\nAnswer: 5, 1, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -127410.81 and -308.88.\nAnswer: -127719.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 - 37.4. Which is the third smallest value? (a) 0 (b) 5 (c) k (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.017768 rounded to four decimal places?\nAnswer: 0.0178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -1993 + 1330*u + 19853*u + 2238*u + 1993 as w + j*u and give j.\nAnswer: 23421","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j - j + 0*j. Let m(p) = 2*p**2 - 7*p + 1. Let s be (-24)\/60 + (-7)\/(-5). Determine s*m(x) + 5*u(x).\nAnswer: 2*x**2 - 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/986 and -74\/87?\nAnswer: 2958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 5:06 PM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40*q**2 - 11*q + 5134.\nAnswer: -80*q - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 667047234?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -228*s**5*t - 12*s**4*t**2 + 7*s**2*t**2 - 1283*s*t**2 wrt s.\nAnswer: -13680*s**2*t - 288*s*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/26 and 101\/3900.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - 3*i + 57. Suppose 3*u + 9*t - i = 4*t, -3*t + 9 = u. Which is the nearest to 0? (a) 1 (b) u (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t + 18. Let n be h(7). Suppose 21 = -z + 3*w, -4*w = 5*z - 3*w + n. Let c(k) = -2*k**3 - 5*k**2 + k - 18. What is the tens digit of c(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3173 + -1873. What is a rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2953611?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -78.9 - -78.405. Let w = p + 0.195. What is the third biggest value in 0.14, 4, w, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o + x - 27 + 33, 0 = 2*o + 4*x - 6 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.672 * 1.06\nAnswer: -0.71232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5031*i**2*n**2 - 90*i**2*n - 21*i**2 + 2*i*n**2 - 2*i*n + 2*n**2 wrt n?\nAnswer: -10062*i**2 + 4*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 4 - ((-56)\/(-22))\/((-11)\/(-22))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ldrdmdwddnd. Give prob of picking 2 d.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 y when two letters picked without replacement from {y: 1, p: 2, o: 7, b: 3, u: 5}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -5 (b) 4 (c) -0.033 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 3*r - 18 = 4*f, -14 = -4*f - 2*r. Calculate the remainder when f is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 106 + -76. Calculate the remainder when 76 is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5771\/6, -1, 3, -9.2, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 368 and 162656.\nAnswer: 162656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 212577?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/5 (b) -0.3 (c) 2 (d) -9359\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -15.3 and -138004950?\nAnswer: 138004934.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3931 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 339 + 49 = -z, -2*z = -5*r - 988. Let j = r - -276. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 2*k = 4*f - 128, -5*f - 4*k = -134. List the prime factors of f.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -2*l**6\/15 + 2*l**4\/3 - 2*l**2 + 20*l. Find h such that c(h) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 1 - 11. Let t = d + -6. Let l be (75\/(-19) + t)*-2. Which is the closest to 3? (a) 0 (b) -3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10063 + -10060. Solve 3*g = 48*m - 45*m - 9, -2*m + 6 = v*g for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -412 - -0.0101.\nAnswer: -411.9899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 63 in decreasing order.\nAnswer: 63, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1647*m + 1674*m + 54 = 0. Let w = 1\/39 - 85\/273. Let b be -1*1*(3 - 2). What is the closest to b in 10, m, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1072 - 895. Let q = y - -3438. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-2))\/((-309)\/(-206)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*u - 1 + 19 = 0. Put 28, u, 2 in increasing order.\nAnswer: u, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 2\/33 (b) 69820 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x + 44. Calculate the remainder when 141 is divided by m(-8).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -681 + 680. Let m(l) = 12*l + 1. Determine m(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-18)\/5)\/(2\/(-10)). Suppose 3*r = -b + 45. Let h = r + -2. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 10 = 5*i, 2*u = 2*i - 3*u - 4. Let v(j) = -j + 7. Let y be v(5). Factor p**i - 4*p**4 + 3*p**2 - 40 + y*p - 2*p**5 + 40.\nAnswer: -2*p*(p - 1)*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -37318495 and 5?\nAnswer: 37318500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gr when two letters picked without replacement from {r: 5, g: 9}?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -478, -490, -504, -514, -514, -498?\n\"Answer: x**3 - 7*x**2 + 2*x - 474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1457149 - 1031810. Suppose h = 40*k - 17*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31220332 + -2?\nAnswer: -31221000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -520114 (base 8) in base 9?\nAnswer: -282071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2d4 (base 15) in base 9?\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -5, 0, -0.3, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1218 and 1392.\nAnswer: 9744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -4*c. Let f(q) = -7*q**2 + 3*q - 40. Determine l(f(m)).\nAnswer: 28*m**2 - 12*m + 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 43721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -9*s - 133. Calculate k(-17).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 324 - 321. Let f(l) be the first derivative of 0*l - 2 + 0*l**r - 1\/20*l**5 + 0*l**2 + 1\/16*l**4. Find u, given that f(u) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 1 = 3487*z - 397*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -7*h**2 - 28. Let q(t) be the second derivative of t**2\/2 - 2*t. Let j(b) = b**2 + 95*b + 1655. Let y be j(-72). What is y*i(z) - 28*q(z)?\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-seven quarters of a hour?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3835 - t**3 + 1555*t - 1555*t.\nAnswer: -t**3 + 3835","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55373*n**4*o + n**3*o + 1972*n**2*o - 6*n**2 + 14*n*o + n wrt n?\nAnswer: 1328952*n*o + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**(-7))**(-4))**(2\/135))**33)**38 assuming d is positive.\nAnswer: d**(23408\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9603 and 8100?\nAnswer: 8642700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1326\/5 (b) -4 (c) 4 (d) 0.2 (e) -5 (f) 2 (g) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 18.9. Let m = 47\/6 - 8. Which is the third biggest value? (a) -0.3 (b) m (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -90*j**3. Suppose -2*n + 12 = 3*w, -4*n + 5 = -w + 23. Let i(p) = -13*p**3. What is n*z(k) + 20*i(k)?\nAnswer: 10*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -1621 and -1622 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n - 6. Let v be b(-5). Suppose -v*j - 119 = -11*j. Suppose 10*k = 5*k + 2*f + 23, -k - 5*f = j. Solve -4 = q - k for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -63*v + 56. Let s(i) = -2*i + 2. Let w(c) = -84*s(c) + 3*y(c). Let g(q) = 12*q. Give g(w(h)).\nAnswer: -252*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 4*b = -5*s, 3*s = 4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -77318380 rounded to the nearest one hundred thousand?\nAnswer: -77300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 9:40 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13155030 and 316512?\nAnswer: 210480480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 50529 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 187952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-197 + 197 + 16*q)*((-2 + 5 - 2)*(0 - 1 + 2) + 2 + 0 - 1).\nAnswer: 32*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + 6 - (-1 - -43).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0324862 to four dps.\nAnswer: 0.0325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6025260 divided by 2055\nAnswer: 2932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11010 + -2323?\nAnswer: 3132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 65677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2. Let b(l) = 133*l - 56. Let z(a) = 12*a - 5. Let s(x) = -5*b(x) + 56*z(x). What is s(d(w))?\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4*(sqrt(320) + sqrt(320)*2 - sqrt(320)))*5.\nAnswer: -320*sqrt(5) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 2*x = 11 - 5, 10*u - 41*x + 78 = -45*x for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5927)\/15 - (-6 - -4). Let j = a - -393. Let m(l) = l + 7. Let f be m(-6). What is the closest to f in j, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 1. Suppose q = i - 3*b + 7, 2*b + 0*b = 4*i - 2. Let k(z) be the first derivative of -z**3\/3 + z**2 - 2*z + 78. Calculate k(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*y + y, 4*h - 5*y - 99 = 0. Calculate the least common multiple of h and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 5. Let a(f) be the second derivative of 0*f**i + 1\/2*f**2 + 0 + 0*f**4 - 1\/10*f**5 - 2*f. Differentiate a(c) wrt c.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -5*b + 165, 63*q - 72 = -2*b + 68*q for b.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5323522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1146 = -3*h + 735. Suppose -5*j + h - 227 = 0. What is the units digit of (j\/(-30))\/((-4)\/30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -35*i + 2. Let d(h) be the first derivative of 17*h**2 - 2*h + 4. Let j(l) = -4*d(l) - 5*k(l). Is j(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 80*f**4 + 1000*f**3 - 2595*f**2 - 51430*f - 47915 = 0. What is f?\nAnswer: -37\/4, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20755, -41513, -62257, -82981, -103679, -124345, -144973, -165557?\nAnswer: -186091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56 - 51. Solve k - 5*r - 11 = 0, 2*k - w*r = -3*k + 15 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*a + 10. Suppose -q - 4 = -a*q. Suppose -1 = q*z - 2*x - 9, 0 = -5*z - 2*x + 20. Put 2, 5, z in descending order.\nAnswer: 5, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6719 + 6719.1. Is d greater than or equal to 25.283?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -21*a - 5. Give f(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -81 (base 10) to base 4.\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 7*t**2 - 2*t - 9. Let q = 26 + -51. Let x(k) = 7*k + 168. Let s be x(q). Give p(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**3 - 10*c**2 - 12*c + 72 = 0. What is c?\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-3)*x\/x**6)\/(x*x*x**(-1))**29 assuming x is positive.\nAnswer: x**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 12, 18, 26, 42, 72?\n\"Answer: n**3 - 5*n**2 + 14*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 + 12902658*y + 41619645866241.\nAnswer: (y + 6451329)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1429458049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 46340 (base 9) to base 16\nAnswer: 78b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 719 + -658 + 6 + -37.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 145752319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 42 - 4*f**2 - 71 - 34. Let h(j) = 12*j**2. Determine d(h(x)).\nAnswer: -96*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 0 - 3\/20*w**5 + 0*w**3 + 2*w + 0*w**4 + 3*w**2. Differentiate s(c) with respect to c.\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10 - 27) + 9 - -11. Solve x = 2*g + 3, x = s*g + 5*x + 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 + -32. Let o = 26 - s. What is the highest common divisor of 84 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10575 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 18, d: 2}. Give prob of picking 2 d.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a**2 + 576*a - 10689. Calculate n(-209).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.03 + 0.03. Let d be 8\/3 + 7 + -9. What is the third smallest value in d, v, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 108\/(-16) + 2\/(-8). Let m(v) = -v**3 - 5*v**2 + 16*v + 16. Let x be m(p). Solve -x*o - 3 = -1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119031, 238071, 357109, 476145, 595179, 714211, 833241?\nAnswer: 952269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -27\/4? (a) 4 (b) 4\/5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18313 + 18478. Suppose -4*f + 143 + 121 = 0. Suppose -4*d + f = -3*d. Calculate the highest common divisor of p and d.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00046274 to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -7*p**2 + 372*p - 3567. What is v(10)?\nAnswer: -547","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -290414013 (b) 0.5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -428 (base 14) in base 7?\nAnswer: -2251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 1)\/1*(14 - 13). Let i = -29\/13 + 127\/156. Let f = -7\/6 - i. Which is the second smallest value? (a) -5 (b) h (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -9. Let x(s) = -5 - 2 + 4*s + 2 + 4*s - s**2. What is the units digit of x(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((a**(-2)\/a)\/a)\/a)\/((a**14*a)\/a))\/(a**(-2\/19)*a\/a**(-4)))**(7\/3) assuming a is positive.\nAnswer: a**(-3178\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4*u + 4 = 3*u, 0 = -u - 4. Let h(n) = n**2 - 5*n - 1. Let t be h(6). Solve -17 = 3*p + t*w, c*w = -5*p + 4*w - 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 91866862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 - -34. What is the third derivative of 26*d**m + 2807*d**3 - 2807*d**3 - 5*d**2 wrt d?\nAnswer: 624*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -50*i + 1. Let t(p) = 49*p - 2. Determine 4*m(l) + 3*t(l).\nAnswer: -53*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 6)*(-1 + 1 + 2*y).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (15\/17 - 1) + (-3634532)\/(-578)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = -5*m + 5*q, -m = -2*m + 3*q + 38. Calculate the remainder when m is divided by (6 + -3 - (-15)\/(-9))*9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38995287263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*q**2 + 13493548387 - 13493548387.\nAnswer: 13*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7570 in 5, 4, 41?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -7. Let a = -0.7 + -4.3. Let q = u + a. Is q greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4448 and 76512?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of 19*n**5\/60 + 4*n**2 + 209*n. Let t(i) = -120*i. Give t(b(r)).\nAnswer: -2280*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 6*b + 21. Give t(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 123 * -30.\nAnswer: -3690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 0)*(-6)\/4. Let c = 9 - 6. Let f(q) = c*q - 6 - 3*q + q. What is f(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -71*b**9\/14 + b**5\/60 - 115*b**3\/6 - 797*b**2. Find the third derivative of c(v) wrt v.\nAnswer: -306720*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of n**4\/24 + 3*n**3\/2 - 4*n**2. Let v be g(-5). Suppose -5*s + 1 = -2*z, 2*s + 0*z - 10 = -v*z. Is s smaller than 6\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2009 and 280672.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 divided by 2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1050288.11 rounded to the nearest one hundred?\nAnswer: -1050300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 + 76. Suppose 4*u = -v + 193. Calculate the least common multiple of 12 and u.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 146, 287, 442, 617, 818, 1051, 1322, 1637?\nAnswer: 2002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 8*r = -76. Let k(v) = -28*v - 22. Let h be k(6). Let w = r - h. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -8\/3993?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 4 + 2)*(3*y - 2*y - 2*y) - 5*y + 5*y - 4*y)*(y - 6*y + 4*y).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7249?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1472000 to the nearest ten thousand.\nAnswer: -1470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/1*1\/(-1). Let v be (2 - (-182)\/(-8)) + -2. Let g = v + 23. What is the biggest value in -1, m, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.4 (c) -0.1 (d) -6 (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -108 + 24. Let y = h - 9. What is the third derivative of -14*l**2 + 4*l + 8*l**2 - 4*l + 10*l**y wrt l?\nAnswer: 600*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13053690.\nAnswer: 2, 3, 5, 13, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -228*i**3 - 17*i - 15. Let o(g) = -76*g**3 - 6*g - 5. Calculate -6*k(m) + 17*o(m).\nAnswer: 76*m**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -23 - 18) + 34 + -4\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*h + h + 3*h)*(2*h + 2 - 2 + h + 4*h - 3*h + (1 - 2 + 3)*(3*h - h + 0*h) - 577*h - 474*h + 955*h) in the form t*h**2 + o*h + s and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60029839?\nAnswer: 17, 23, 153529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a*(a**1\/a)\/a)\/a)**(-25)\/((a*a*a**(-2)*a*a)\/a**6) assuming a is positive.\nAnswer: a**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -159 + 350. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 117\/(-6) - 2\/4. Let l be (u\/(-2))\/(-2)*-1. Suppose -4*c + w + 46 = -2*w, l*c + w - 48 = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/(-54)*3*-5*54\/2205?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46028 is divided by 106.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 414214817?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d + 3a01a?\nAnswer: 3a037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 806*w - 5698. What is z(7)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 585?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 355663051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 59*t - 4 = 62*t, t + 8 = 2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0158 + 38.9842. Which is the closest to l? (a) 1 (b) 3 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 18 + 18)*(-1 - 3 + 2)*(-66*g + 7832 - 7832).\nAnswer: -132*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 6*p**2 - 11*p - 26. Determine r(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1829255 * 55.\nAnswer: 100609025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -3419 (c) -3 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -2*z + 16. Calculate the remainder when (-350)\/28*(-40)\/25 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -19*i**3 - 1565. Let m(f) = -11*f**3 - 783. What is 4*d(q) - 7*m(q)?\nAnswer: q**3 - 779","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56100 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.176 + -0.076. Let v = -0.1 - -0.2. Let f = v - 0. Is f > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h + 35. Calculate the remainder when 44 is divided by j(10).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4223370040 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -13, -31\/13, 1\/8, 0.1?\nAnswer: -31\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 439351, 439350, 439349, 439348?\nAnswer: 439347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -53*-1370.3293\nAnswer: 72627.4529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 339 = -4*m, -5*f - 4 = -f. Let w = m + 256\/3. What is the second biggest value in w, -4, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 405 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -5167.\nAnswer: -3\/5167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**4 - 242216*o**3 + 4360900*o**2 - 17202136*o + 18898464 = 0. Calculate o.\nAnswer: -60572, 2, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 414012 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 ((h**7)**(3\/29)\/(h**(3\/8)\/(h\/(h*((h*h*h\/(h\/(h**(4\/17)*h))*h*h)\/h)\/h))))**(-1) assuming h is positive.\nAnswer: h**(11383\/3944)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5168, -4726, -4296, -3884, -3496, -3138, -2816, -2536?\n\"Answer: -v**3 + 449*v - 5616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*r + 3*b, -2*r - 44*b + 39*b = 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-six fifths of a centimeter?\nAnswer: 52000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18645814 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**2 - 128*x - 1080 = 0.\nAnswer: -54, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p**3 + 5*p + 4. Let f(h) = -3*h**3 + h**2 - 5*h - 4. Let r(b) = 3*f(b) + 2*k(b). Let g(l) = -l**3 - l - 1. Give -4*g(s) + r(s).\nAnswer: 3*s**3 + 3*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2. Let j(n) = -22*n + 205. Let q(o) = -37*o + 309. Let f(i) = 8*j(i) - 5*q(i). What is r(f(t))?\nAnswer: 81*t**2 + 1710*t + 9025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 + 209703*f + 209704.\nAnswer: -(f - 209704)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j. Let a(w) = 2*w + 41095. Calculate b(a(d)).\nAnswer: -4*d - 82190","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 307 - 207. Let h = p + 27. Let k = h - 126.943. Round k to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120203653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/((-1650)\/(-12)))\/((-4)\/11)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 32. Let x = h + -39\/2. Is x greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-2)\/27*(-23265)\/(-1410).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -12. Let v = s - 10. Let d(z) = 1 - 3 + v - 2*z. Let i(o) = o. What is i(d(r))?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/1*(-4)\/20*15?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -416 (base 8) to base 14\nAnswer: -154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is a2da19 (base 14) in base 4?\nAnswer: 110330333313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(110) + (sqrt(110) + 1*sqrt(110) + sqrt(110))*1))\/(sqrt(110)\/(sqrt(132)\/(sqrt(12)*1))).\nAnswer: -24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*r + 3*h - 4*h, 0 = -3*r + 5*h - 11. Solve -3*p + r = 0, -l - p + 5 + 1 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y - 10. Let n be v(-5). Let u be (n\/(-2))\/((-20)\/16). Let o be (-3 - 20\/(-6))\/(1\/12). Solve o*f - 3*f + q + 7 = 0, -5*f - 29 = u*q for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 653, 654, 655?\n\"Answer: p + 652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 - 46 = -14*z. List the prime factors of (4 + (-28)\/z)*7*46.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 93 - 74. Suppose 23*a = u*a + 68. List the prime factors of a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1920?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g**2 + 19*g + 1759. Let v be p(-21). Solve -7*s + v*s = 180 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 204 + -111. What is u rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-8 - (-3 - -4)) + 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -5*z - 30, 48*a = 52*a - 8 + 4 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 6*s**2 - 4*s + 5. Let y be -5 + 0\/(1 + 0). Let g be c(y). Let n(x) = -x - 4. Calculate n(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10019, -16041, -22085, -28157, -34263, -40409, -46601, -52845?\nAnswer: -59147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 2*r - 13, -8 = 4*r - 0. Suppose 50 = o*b + 4*a, 0 = -4*b + 4*a - 2*a + 74. Solve 6*p + b = -0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 4236\/156 + 4\/(-26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*l + 93 - 1431 = 102. Let n(m) = -m**2 + 5*m + 62. Determine n(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w + 16. Let k(v) = -4*v + 17. Let g(o) = 5*d(o) - 4*k(o). Let c(y) = -4*y - 37. Let z(n) = 2*c(n) + 7*g(n). Give z(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/8)\/((-4)\/(-8)). Suppose 0 = -3*l + 3, l = 4*f + 5*l - 8. Is f at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5*h**2 - 6*h + 4. Let g(q) = -9*q**2 - 11*q + 7. Let u(b) = 3*b**3 - 26*b**2 + 13*b + 35. Let t be u(8). Give t*r(j) - 6*g(j).\nAnswer: -j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 2255 = -173*a, 2*a + 48*b = 47*b - 11 - 12 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4 = x - 4*g, 3*g = 4*x - 1. Let n be x\/(-6) - (-120)\/(-36). Calculate the smallest common multiple of (-18 + n)*((-12)\/(-7))\/(-2) and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, b: 5, c: 1, h: 5}. Give prob of sequence hbuc.\nAnswer: 5\/2376","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.084 and -0.1.\nAnswer: -0.0084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3*(sqrt(189)\/sqrt(3) - sqrt(63) - (1 + sqrt(175)))*4.\nAnswer: -60*sqrt(7) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/9, 0.3, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -3 (c) 1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 5*s - 72 = 0, 5*s - 3 = 3*r + 56. Let j be 4\/18 - 87\/27. Calculate the common denominator of (-5)\/(-3*j\/r) and 30\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 586?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258*d + 80*d = 1690 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 8. Let z = c - -2. Suppose -2*b + 5*b - 48 = -z*h, -4*h = 2*b - 54. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 700943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2 + 1 + sqrt(363) + sqrt(363) + 5 + -4 + -5))**2.\nAnswer: -1584*sqrt(3) + 52308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18970)\/(-119511) + (132\/(-54) - -2)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 768986564 to the power of 1\/2, to the nearest integer?\nAnswer: 27731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32678082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30848706, 61697417, 92546128, 123394839?\nAnswer: 154243550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-3\/8)*h*h**(2\/33))**(-9\/7))**(-3\/35) assuming h is positive.\nAnswer: h**(1629\/21560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 189\nAnswer: -756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5511 + -5499. Calculate the highest common factor of 714 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (312\/8)\/((-2)\/6 - 20\/(-6))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 6)\/((-15)\/20). Let w = 485 + -481. Let f be 0\/(-1 - (2 - 2)). Solve -w*v + f = q for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -12, 0 = 2*c + 5*p - 3231 + 539. List the prime factors of c.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2 + (-8)\/6)\/((-9195)\/(-176544)))\/(1\/5).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9312, 9265, 9188, 9081, 8944?\n\"Answer: -15*o**2 - 2*o + 9329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - a + 44 = 0, -q - 3*q = -5*a - 12. Suppose 6*u = 4*u + q. Let b(i) = 2*i**2 + 5*i - 9. What is the remainder when b(u) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -568 + 570. Let c(o) be the first derivative of -8 + 0*o**4 + 0*o + 0*o**p + 6\/5*o**5 + 5\/3*o**3. Find the third derivative of c(w) wrt w.\nAnswer: 144*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18508 (base 10) to base 14.\nAnswer: -6a60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -32*n**2 + 262*n. Let r(i) = 3*i. What is r(g(l))?\nAnswer: -96*l**2 + 786*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 26\/65*(0 + -143435). Let l(t) = 1237*t**3 + 4*t**2 + 4*t + 1. Let s be l(-3). Let k = s - c. What is k rounded to the nearest 1000?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of 841*a**5\/60 + 13*a**2 - 7*a. Let x(t) = t**2. What is q(x(p))?\nAnswer: 841*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(4\/7)*y*y**(1\/7)*y)\/((y**(-1\/2)\/y)\/y**6))**(-38\/3) assuming y is positive.\nAnswer: y**(-2717\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2175 and 300.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, f: 8}. What is prob of picking 4 f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1173477810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7324525 and 4030.\nAnswer: 2015","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 0.0901, 3, 9 in descending order.\nAnswer: 9, 3, 0.0901, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2071*p + 158664. Determine n(77).\nAnswer: -803","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3362.912 less than 515.162?\nAnswer: -2847.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 91 = 5*c + h, -c = -5*h - 2. Let l(x) = -c + 36 + x - 19. Let p(d) = 356*d. What is p(l(s))?\nAnswer: 356*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8 (b) -10 (c) -45467 (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -4)\/(-2*-3*3*8\/5112)\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g + 1. Let v be d(3). Suppose -m + 2 = -2. Let o(s) = 5*s**2 + 3*s - 5*s - m + 6. Let w(i) = -9*i**2 + 3*i - 3. Give v*w(y) + 7*o(y).\nAnswer: -y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 309*d - 334*d + 100. What is the nearest to 0.2 in 21, -2\/15, 0.1, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 2210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 742 and 2388316?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1083?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 2*r = -12 - 13, -25 = -5*g - 4*r for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 10, -5, 2, 31 in decreasing order.\nAnswer: 31, 10, 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o - 189 + 189.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 165*g**2 + 48*g**3 - 9*g - 329*g**2 + 74*g**3 - 180 + 173*g**2 wrt g?\nAnswer: 732*g + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*k**2 - 100*k**2 + 2*k**3 - 3989*k.\nAnswer: 2*k**3 - 3989*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.5339176 hours?\nAnswer: 32.035056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -1. Suppose 3*u + 3*q = 12, -u + h*q + 2*q + 28 = 0. Let c = 26 - u. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 191743758 and -179.\nAnswer: 191743579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 740448179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 486810251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 211*-0.01\nAnswer: -2.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000067273 rounded to 6 decimal places?\nAnswer: -0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3790*g**3 + g**2 - 2*g - 1. List the prime factors of x(1).\nAnswer: 2, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1744821 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Round -36533.03 to the nearest 10.\nAnswer: -36530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 65514 divided by 358?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssb when three letters picked without replacement from {s: 9, t: 4, b: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -462 by 33.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6180324 and 15450810?\nAnswer: 30901620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 438 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 765 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -8, 0.4, 0.3, 3\/7 in increasing order.\nAnswer: -8, -1, 0.3, 0.4, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, 28, -5168 in descending order.\nAnswer: 55, 28, -5168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a = -47*a + 399 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.64 take away -0.392117197?\nAnswer: -0.247882803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/186 and -1\/21?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 29 = 4*p - 8*p, 0 = 3*p - f - 23. Solve p*o = o - 20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-320)\/(-30)*((-504)\/(-32))\/21.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 6*f. Let r be w(6). Let g = r - -20. Calculate the remainder when g is divided by (-75)\/(-11) - 12\/(-66).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22005 and 29340?\nAnswer: 88020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 7:49 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 1) + (13 - (5 + 4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 139.2 - 138.9. Put 0.4, b, 6 in ascending order.\nAnswer: b, 0.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-66) + 2226\/22. Let j = s + -42. Suppose -4*t - j = -171. Is 19 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -658*p = 352*p + 58*p - 8544 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 173 from -7.3.\nAnswer: -180.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.002 and 0.115.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n**3 + 6*n**3 + 0*n**3 + (-1 + n**2 + 1)*(1111 - 1111 + 89*n) in the form b*n**3 + a*n**2 + m + f*n and give b.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 204 and 16888188.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2577.13 - 2553. Round j to the nearest integer.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 263*0.0997.\nAnswer: 26.2211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11225\/9 + 1245. Let x = 3605757\/1012 - 3563. Let z = x - 18221\/5060. What is the common denominator of h and z?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*l - 8*l - 10*l + 31*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 388. Let b(n) be the second derivative of -n**3\/6 + 298*n + 1. Give l(b(x)).\nAnswer: -x**2 + 388","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3027 minus 85.5?\nAnswer: 2941.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - r - 18, 4*y - 2 = -3*r + 1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 118 by -548576.\nAnswer: -59\/274288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1)\/(l\/(l*l**(-5))*l**(-1\/4)))**17)**(-2\/5) assuming l is positive.\nAnswer: l**(391\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l - 14*l**2 - 6*l**2 - 6*l**2 - l**3 - 21. Let a be j(-26). Solve -s + a = -0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/(-6))\/((-4)\/(-9)). Suppose o = -3*a + 90. Calculate the remainder when a is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 1\/3*f**4 + f**3 + 10*f - 5\/2*f**2 - 1\/20*f**5 + 0. Let x(p) = -2*p**3 + 9*p**2 + 13*p - 11. Determine 13*o(i) - 6*x(i).\nAnswer: -i**3 - 2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 6*i + 1360 = 0. Let u = 4708 + -4702. Calculate the remainder when (u\/15)\/(344\/i - 1) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1232 = -12*t + 3884. Calculate the greatest common divisor of 459 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fu when two letters picked without replacement from ubgcbpgupgcpugbbpfpb?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -21. Let o(r) = -4*r - 9. Let n(q) = q - 1. Let s(j) = 3*n(j) + o(j). Let b be s(v). Let y(p) = p + 3. Give y(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 712*g**2 - 3*g + 9136.\nAnswer: 1424*g - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 6*q - 2 = 0. Suppose g - 3 + q = 0. Solve g*p + 8 = -4*t, 0*t + 4 = -4*p + 4*t for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 31 in -0.3, 1\/2, -1635438?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 338935 divided by 151?\nAnswer: 338935\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**3 - 1165*t - 2*t**4 + 0*t**4 + 1 + 0 + 1166*t to r*t**2 + n*t**3 + a*t + v + p*t**4 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, e: 1, z: 1, p: 4, h: 5}. What is prob of picking 1 e and 1 h?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y**3 + 4*y**2. Let h(b) = -13*b**3 - 11*b**2. Let q(g) = 35 + 32 - g - 111 + 21. Let o be q(-12). What is o*u(j) - 4*h(j)?\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**4 - s**4 - 3*s**4 + (4*s + 0*s - 2*s)*(3*s**3 + 0*s**3 - s**3) - 2 - s**4 + 2 + 453*s**3 - 453*s**3 - 89*s**4.\nAnswer: -92*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/5, -0.5, 548, -4, -0.2, -0.103?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 6) + -6 + 0 + (16 - 7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -18749, -3, -22 in decreasing order.\nAnswer: 3, -3, -22, -18749","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/7))**(-13)\/((d\/(d*(d*d*d**0*d)\/d*d))\/d)**18)\/((d**(-2\/13)\/d*d*d\/(d\/(d*d\/(d**0\/d))))\/(d*(d*d**0*d)\/d*d)**37) assuming d is positive.\nAnswer: d**(16056\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -77259 - -237?\nAnswer: -77022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 33 = 13. Suppose 5*x = -0*x + b. Suppose 0 = -x*v + 3 + 3. What is the lowest common multiple of v and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92413 is divided by 128.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -1\/12*i**5 + 0*i**3 - 1\/8*i**4 - 6*i + 7\/2*i**2 - 1\/120*i**6 + 0. Let c(t) be the first derivative of g(t). Give c(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.23 - 0.13. Let u = -0.0999985 + k. Round u to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.698 + -195.898. Let b = -198 - q. What is the nearest to 0.1 in -1\/5, 1\/7, b, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5048868736\/561 - -8999763. Let r = z - -106\/51. What is the common denominator of 85\/(-60)*14\/(-4) and r?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1729479, -3458919, -5188273, -6917499, -8646555, -10375399, -12103989?\n\"Answer: 7*f**3 + f**2 - 1729492*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 124, 328, 696, 1276?\nAnswer: 2116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -189094, -378188, -567280, -756370, -945458, -1134544, -1323628?\nAnswer: -1512710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*j + 13, 0 = -s - 497*j + 501*j + 21. Solve r - 6 = -r - v, 5*r = s*v + 45 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23395 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = w - 4, 4*v = 3*w - 0*w + 23. Let g be (-41)\/(-8) - v\/40. Let m = -1 - -3. Solve g*i = z + m - 1, -5*z - 3*i + 23 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 8) to base 15\nAnswer: 4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2433117 (base 9) in base 2?\nAnswer: -101000010100001010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 76045*k**3 - 2*k**2 - 216*k + 219. What is the thousands digit of g(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 7:12 PM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**3 + 5*p**2 + 3. Let h(a) = a**2. Calculate -5*h(i) + t(i).\nAnswer: 2*i**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-4) + 0 + 154. Suppose -5*r + x = -103. Suppose -9 = -3*s + 2*s + 3*a, a = -s + 21. What is the remainder when r is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.72 + -1.22. Let k = -0.42 + 0.362. Let w = k - -0.558. What is the nearest to -2\/5 in 13, j, w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-11 - -3 - -5)\/(3 - (11 - 2)). Factor 5\/3*m - p - 2*m**2 - 1\/6*m**4 + m**3.\nAnswer: -(m - 3)*(m - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -208*l + 525. Let j be h(6). Let y = j - -732. What is the greatest common factor of 3 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 282468.66 months to years.\nAnswer: 23539.055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**2 - 4. Let t(q) be the third derivative of 4*q**5\/15 + 7*q**3\/2 + 7*q**2. Give -11*f(z) - 2*t(z).\nAnswer: z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -4, -125959?\nAnswer: -125959","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12905 and 5777435?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6627, 7154, 7681, 8208, 8735?\n\"Answer: 527*n + 6100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 820 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: a6 (base 12) to base 10\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -1 + -2 + (-24 - -22)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18 - -62648a?\nAnswer: 6264a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and 258975.\nAnswer: 258975.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1722 and 1230?\nAnswer: 8610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/369 and 14\/9.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 10*c - 9*c - c - 8*c. Let r(q) = 10 - 2 - 34*q**2 - 10 + 2. Give y(r(m)).\nAnswer: 272*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 1\/7, 0.02, -0.06, 5.5 in descending order.\nAnswer: 5.5, 2\/5, 1\/7, 0.02, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1178346 divided by 13\nAnswer: -90642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 262235454?\nAnswer: 2, 3, 13, 19, 67, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = z - 17 - 8, g - 3*z = 21. Solve -5*b = n + 16, -3*n - 4*b + 20 = -g*b for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -757.36658 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -48?\nAnswer: -5\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 25\/2 - (-8)\/16. Let d be (182\/(-3))\/((-4)\/6). What is the greatest common divisor of h and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9c2c57 (base 16) to base 3.\nAnswer: 201020222201212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8 + -2*(-3)\/2. Suppose 0 = -u*f + 8*f - 228. Let b = f - -146. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 441606860?\nAnswer: 2, 5, 22080343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 10*g**3 - 11*g**3.\nAnswer: -21*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 65\/39*3312\/(-690)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + 35 + 20 - 2*t**2 - 1 to the form s*t + i + b*t**2 and give i.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 100111100 (base 2) to base 6\nAnswer: 1244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.7*154\nAnswer: 261.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12985, -12980, -12969, -12952?\nAnswer: -12929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(171)\/(sqrt(9) + -3*sqrt(36)\/sqrt(4)) - (1*sqrt(38)\/sqrt(2) + sqrt(684) + 2 + sqrt(19))**2).\nAnswer: -1219 - 65*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126099?\nAnswer: 3, 14011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13860631?\nAnswer: 359, 38609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14566859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - y**2 - 2*y. Let z(w) = 2*w**3 + 3*w**2 + 5*w. Let h = -43 - -41. Determine h*z(o) - 5*r(o).\nAnswer: o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**4\/3 - 83*h**3 - 248*h**2\/3 = 0 for h.\nAnswer: -248, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 10. Which is the biggest value? (a) q (b) -2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q. Let f be 4*((-2)\/1 - -3). Let x(m) = 28 - 28 - f*m**2. Give z(x(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57663 (base 11) to base 7.\nAnswer: 464623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1836966 is divided by 2224.\nAnswer: 2166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -10, 0?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11938*s**5*z + 2*s - 4*z + 1160 wrt s.\nAnswer: -238760*s**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1368\/(-3249))\/(2\/(-1)))\/((-208)\/(-132392))?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -10 (b) -1 (c) 6 (d) -2 (e) 1 (f) -3 (g) 1895\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is b61c18 (base 16) in base 4?\nAnswer: 231201300120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by -3 + (-42)\/(0 - 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10111101110100010 (base 2) to base 7\nAnswer: 553225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 0.019?\nAnswer: -0.0095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 314*k + 309*k + 2 - 611*k as u*k + t and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/15*-21 + 1 + -6. Let k(c) be the third derivative of 0*c**3 - 3*c**p + 0 + 1\/2*c**4 + 0*c. Let i(z) = 2*z. Calculate i(k(m)).\nAnswer: 24*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 20*s**2 - 11*s - 8. Let u = -108 - -116. Let j(k) = -7*k**2 + 4*k + 3. Give u*j(o) + 3*a(o).\nAnswer: 4*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 8*t**2 - 7*t. Let p be a(-7). Let f be (p - 6\/(-9))\/2. Let l be 4\/22 + (-6)\/33. What is the smallest value in -3, f, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-6)*(0 - 24). Let x = 5 - t. Let n = 19 + x. Calculate the remainder when n is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -0.2, -12\/11, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, p: 1, t: 5}. What is prob of picking 3 t and 1 p?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 216639930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**4 + 51*t**3 - 123*t**2 - 171*t.\nAnswer: 3*t*(t - 3)*(t + 1)*(t + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - v - 19 = 0, 0*v + v + 115 = 5*y. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 59*l**2 - 62*l - 125. Let z be p(-60). Which is the fourth smallest value? (a) -0.5 (b) -1 (c) z (d) 17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j\/j**(-9\/4))*j))\/(j\/j**(4\/3)))**(-3\/16) assuming j is positive.\nAnswer: j**(-31\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7325 - -21974\/3. What is the third smallest value in u, 0, -1\/12, 0.0134?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/10*720\/27. Calculate the common denominator of -32\/11 and (-292)\/y*(-4)\/(-4).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ebge when four letters picked without replacement from {e: 2, g: 3, b: 3}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 75038051?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -238*r + 121*r + 115*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -135.5 - -135. What is the closest to a in -3\/2, -0.2, 0.08?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/10*2 - (-960)\/75. Let c(z) = -a*z + 21*z - 5*z - 4*z + 3. What is c(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/525 and 121\/980?\nAnswer: 14700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 19*q**2 - 42*q - 491. Determine k(10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(187)*1)\/(1*sqrt(33)\/sqrt(3) - sqrt(11) - sqrt(11)).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 602554947?\nAnswer: 3, 200851649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/o**16*o))\/(o\/((o*o**(-13))\/o*o)) assuming o is positive.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -1148\/11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2 - 23696*v - 142273. What is p(-6)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*j**2*q**4 + 886*j**2*q**2 + 4218*j**2*q - 2*j**2 - 4*q wrt q?\nAnswer: 36*j**2*q**2 + 1772*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 6:17 PM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3 = p. Let r be 0 - p - 0 - -2. Let h(o) = 14*o - 1. What is the remainder when h(r) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56371285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1558 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 8*o + 3. Let g be -2*(-4)\/(40\/15). Let t(i) = 15*i + 5. Calculate g*t(y) - 5*u(y).\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -128 + 225. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 7 (c) -0.4 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 l when three letters picked without replacement from {n: 3, e: 2, p: 4, q: 2, l: 6, t: 1}?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -945 = -15*q - 817 + 1102 for q.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2021 (base 8) in base 5?\nAnswer: 13131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1938, 1910, 1882?\n\"Answer: -28*f + 1966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2222*x + 4. Let r(o) = 9*o**2. Give r(w(b)).\nAnswer: 44435556*b**2 - 159984*b + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*a - 228076 = -79*a + 45204. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 8*b - 4*d + 1524 = 0, -3*b + 1145 = 4*d. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 136 + 161 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.008, -2\/395, -1\/195 in ascending order.\nAnswer: -1\/195, -2\/395, 0.008","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*a = -14, -3*a + 6 + 0 = -3*p. What is the least common multiple of 10 and (p - -3 - -6)\/3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -237 - -238.028. Let x = n + -0.028. Is x less than 6.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u + 10. Let o be l(8). Let a(i) = 2*i - 5*i + 6*i**o + 7 - 2*i - i**3. Let n(q) = q**2 - 4. Let d be n(-3). Give a(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -806?\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-190 + 134)\/(-12 - (-223)\/18)\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 50 + -3?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 443647 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -33614566?\nAnswer: -33614563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -64067\/10 in -3\/5, -0.4, 2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/2618 and -127\/42?\nAnswer: 7854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 10, s: 2}. Give prob of sequence asas.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (20\/(-5))\/((-4)\/431). Suppose -2*c + g = 3*j, 4*j - 7*c = -2*c + 567. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 3\/5, 3\/2, -1, 354729, 0.4 in descending order.\nAnswer: 354729, 3\/2, 3\/5, 0.4, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**3 + j**4 - 56 + 8*j**3 + 64*j**2 - 66*j**2 + 55 + j as d + x*j**3 + y*j + m*j**2 + v*j**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4 - 30 = 3*y, 3*y + 6 = 0. Let i*d + 2*d**2 + 1 - 1 - 7*d = 0. Calculate d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -22 + 1 + 6*w**2 + 0*w**3 + 18*w**2 + w**3 - w. Let s be b(-24). Solve 0 = -2*q + 3*q - s*p - 14, 0 = 3*q + p - 12 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5647 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 1 + -6 - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v - 4. Let c be (-26)\/(-4) + 155\/(-62). Let i(u) = u + 5. Let g(t) = c*a(t) + 3*i(t). Calculate g(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 300233.5 millennia?\nAnswer: 30023350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**3 - 2*q**2 + 2*q - 2. Let x = -8 + 14. Let o be 12\/15*15\/x. Give h(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -430*k + 245*k + 283*k = -3430 for k.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/11? (a) -6 (b) 2 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -11001110111010101011101111?\nAnswer: -11001110111010101011110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -1\/3 (c) 4 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.13 and 0.361.\nAnswer: 0.76893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + -1 + (0 - -2). Let i = 137 + -136. Let a(s) = -14*s**2 + i - 6*s + 5*s + 29*s**2 - 14*s**2. What is a(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 3:13 PM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbzbzbzbzzzz. Give prob of picking 1 b and 2 z.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1209*c**4 - 1366?\nAnswer: -4836*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2)**26*((c**(-2)\/c*c*c)\/c)**(-17\/3) assuming c is positive.\nAnswer: c**(190\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.1, -7\/13, -0.4, 1\/5 in descending order.\nAnswer: 1\/5, -0.1, -0.4, -7\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a week in seconds?\nAnswer: 20160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 537 + -321. Suppose -2*c - 5*h + 158 = 2*c, 3*h = 5*c - t. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-120 - -107) + 1 + 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -176*g**3 - g**2 - 3*g - 2. Let u be s(-1). Let t be (u\/(-6) - -1)\/((-8)\/168). Suppose 2*n - 782 = 3*h, -n - 204 + t = 5*h. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3347033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n - 639 + 1719 = 0. Let p = 120 - n. Let z be (-8)\/(-12) - 112\/177. Which is greater: p or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 - -26. Is 4\/i + 256\/14 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o - 13. Suppose 3*j + 5*b = 160, -2*j + 4*b + 115 = j. Let k = 31 - j. Let h be z(k). Solve 0 = 2*p - 3 - h for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 592719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(2592) + sqrt(2592) + 1*sqrt(2592)))\/(-5*sqrt(324)*1))**2.\nAnswer: 648\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 630 and 990.\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -i**5\/5 - i**4\/6 + i**2\/2 - 4*i. Let b be l(-1). Suppose 0*w = -5*w. Solve -3*x = w, 0 = -b*m + 4*m + x - 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.033 (b) -2\/9 (c) 397\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -10, -12455 in increasing order.\nAnswer: -12455, -10, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*m - 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2297 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262054 is divided by 1030.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + -5 + (10 - -1) + (-2 - 5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -996*l = -1968*l + 986*l - 350 for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-360)\/280 + (-240)\/(-7). Solve 22*u = 55 + c for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 47*d**2 - 35*d + 35*d - 436*d**2. Let j(u) = u. Calculate j(w(m)).\nAnswer: -389*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -7*c**2 - 4*c - 4. Give l(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 664.\nAnswer: 3984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 261 - 254. Let n be (-144)\/238 + (-48)\/(-112). Which is smaller: p or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7)*-2*6 + -1 + sqrt(7) + 3 + sqrt(7))*3 - -1*5*sqrt(448)*2)**2.\nAnswer: 600*sqrt(7) + 17536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -7 - 8. Solve -m*w = 3*r + 12, -4*r - 1 = -5*r for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - b = 100. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -4 (c) 0.4 (d) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76250?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*n + 3*w - 782, 1895 = 5*n - 2*w. Suppose 0 = 2*c + n - 1917. Suppose -4*v + 1009 = r, 0*v + 3*v + 3*r - c = 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 108, 3, -561, -4 in descending order.\nAnswer: 108, 3, -3, -4, -561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/8 or 283.08?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 + ((-8)\/(-60) - (-6 + (-12362)\/210 + 15))\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t - 22. Let z be a(11). Suppose 2*b + 5*i + 1 = z, 3*i = 2 - 5. Solve s - 9 = 2*x, -5*s + 15 = -3*x - b*s for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2051 + -2054 + (19 - 4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2117 + 0.187. Let y = 415.1 - 415. Is y < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 0, -11619\/4, -43?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 5 = -4*o + 5*c, 5*o - 2*c = 7. Let p(q) = 4*q**3 + q**2 + q - 1. Let d be p(o). Suppose -74 = -d*r + 3*r. Is 30 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04855218973 rounded to three decimal places?\nAnswer: 0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o + 9. Suppose 5*u + 10 = h - 15, 5*h = -2*u + 17. Suppose 2*k - h - 11 = 0. What is the remainder when k is divided by t(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 10:41 AM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -2. Let l be (s + 19)*25\/80*4. Let j = 3 + l. Is 3 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one tenth of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -573326874 - 16777.44.\nAnswer: -573343651.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 40*u + 2387 = 0. Let k be (4\/(-14))\/(11\/u) + -16. Which is the smallest value? (a) k (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -969 + 970. Let s = 74341\/62 - 1199. Which is bigger: s or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 2627.\nAnswer: -5254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4287 times 0.11\nAnswer: -471.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**2\/5 + 32196*y\/5 - 45094 = 0. Calculate y.\nAnswer: -16105, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55\/(27720\/(-15848)) + 32.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 99 + -93. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(2\/23)*r)\/r**(-2\/7))**(-27\/2) assuming r is positive.\nAnswer: r**(-5157\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06*4.169.\nAnswer: 0.25014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**4\/10 + 12978*z**3\/5 + 51901*z**2\/10 - 90837*z\/5 + 51908\/5 = 0.\nAnswer: -25954, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -1\/9, -30, -0.01, 0.19, -5?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110026 is divided by 299.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c - c - 2*c - 7*c to g*c + h and give g.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -7\/2*z**2 - 5*z - 23\/3*z**3 - 1\/2*z**4 + 56. What is the second derivative of s(g) wrt g?\nAnswer: -12*g - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46.634 + -47.2. Let x = h + 0.57245. Round x to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 take away 1229687.915358?\nAnswer: -1229688.715358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2 = -3. Let a be (q + 6)*(1 + 0). Suppose -9 = -2*y + a. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y - y - 2*y + 897 - 62*y - 897 + 18 + 17*y - 18 + (0*y + 0*y + y)*(3 - 2 - 2).\nAnswer: -47*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 4*t - t)*(-290*t + 165*t + 149*t).\nAnswer: -72*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of f**7\/210 - 7*f**6\/360 + f**5\/36 - f**4\/72 + 16*f**2. Solve a(p) = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 19 = -5. Suppose 3*z - c - 2185 = 0, -4*c + 2892 = t*z - 0*z. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -29970b + 5?\nAnswer: -299706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 6.42\nAnswer: -12.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(-33)*((-18)\/(-16))\/(-3)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 754707 is divided by 11439?\nAnswer: 11172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 2*k**2 - 3*k + 2. Let y = -16 + 16. Suppose 2*t - w - 10 = 0, 0 = -y*t + 3*t - w - 13. Calculate s(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**7\/84 - m**6\/20 - m**5\/40 + m**4\/8 + m**3\/6 + 17*m. What is h in w(h) = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17324 >= 17321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -3412, -3, 4\/5, -4.\nAnswer: -3412, -4, -3, -3\/7, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 14 - 14 - 20*s)*(0*s - 4*s - s) to the form i + r*s**2 + d*s and give r.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4839905 to the nearest integer?\nAnswer: 2200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 5. Let s = 6 + c. Suppose s*d + n + 9 = 0, 5*d - 3*n = -0*n - 17. Sort 1, -5, d in increasing order.\nAnswer: -5, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8121 and -2?\nAnswer: 8123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -164827557*q**2 + 1819*q - 43489 wrt q.\nAnswer: -329655114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*2\/12*-14. Let u = 12 + h. What is the remainder when u is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -562*x**2. Let g(c) = -5*c**2. Determine g(z(p)).\nAnswer: -1579220*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + -3 + 2*sqrt(117)) + 2.\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 678 = 2*h + 4*u - 488, -4*u = -5*h + 2957. Let n = -110 + h. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 459448 a multiple of 454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**3 - 38*o**2 - 110*o + 1396. What is k(20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 37*x**2 + 115*x - 285. Give v(-40).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i - i**2 - 4*i)*(-7 + 3 + 0)*(0 + 1 - 3)*(-2 + 0 + 6)*(9*i + 6*i - 4*i)*(0 - 7 + 2).\nAnswer: 1760*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -74 - 7*r + 76 - 3*r + 7*r + 57*r to the form c + f*r and give f.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 1\/2, -9\/17, 2 in decreasing order.\nAnswer: 2, 1\/2, 1\/5, -9\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1370361425.\nAnswer: 5, 54814457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 960 is divided by 722?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -2. Let q = 12 - g. Calculate the remainder when 35 is divided by q\/8*0 - -9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -759 + 757. Sort -1.71, 2, u in descending order.\nAnswer: 2, -1.71, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132 = -18*u + 2*m + m, -4*m + 25 = 41 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*u - 9*u - 622 + 2325 = 0 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*((g*g**2)\/g)\/g*g*g)**(8\/7)\/(((g*g**(-2))\/g)\/g**(-4)))\/((g**1)**(4\/5)*(g**(-2))**36) assuming g is positive.\nAnswer: g**(2622\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -5. Suppose 2*q = c*w - 6, w + 3*q = 2 - 3. Suppose w*z + 2 = -0*z, -4*d - 5*z = -43. What is the greatest common factor of d and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4 + sqrt(11) + (sqrt(11) - (sqrt(539) + -3 - sqrt(539)) - sqrt(11)) + sqrt(33)\/(sqrt(24)\/sqrt(8)))**2.\nAnswer: -4*sqrt(11) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r + 1 - 3 + r. Let v = -41272 - -41267. What is q(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 354539443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ex when two letters picked without replacement from eeeeexxxeexxeexexkxx.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -26.856, 2\/29, -2?\nAnswer: -26.856","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 385*z - 824882 = -801397 for z.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 148, 543, 1318, 2599, 4512, 7183?\nAnswer: 10738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 194285827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 6*j**2 - 36*j + 19. Calculate r(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -985 + q**3 + q**3 + 932 to r*q**3 + o*q + t + d*q**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 10*r**2 + 8*r + 11. Let h = -11 + 10. Let s be (-2)\/((3\/18)\/h). Is i(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 >= -1.426?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 5:38 PM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/(-1078) - 8\/22.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, b: 1, g: 2, j: 1, l: 1, e: 1}. What is prob of sequence gteg?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 8:20 PM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 451, -5, -2, 4 in increasing order.\nAnswer: -5, -2, 4, 451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbb when four letters picked without replacement from {b: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1742?\nAnswer: 2, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11001578 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -123317 + 123317 + 551*j. Let i(g) = 2*g**2. Calculate z(i(k)).\nAnswer: 1102*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.6+7112124711885\nAnswer: 7112124711885.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d - 5*d + 6*d - 42*d**2 to m*d**2 + h + f*d and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 340450931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/10 (b) 0.087 (c) 0.012 (d) 0 (e) -0.553\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 1422335072\nAnswer: -1422335073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 10 + 14. Let q(y) = y**2 + 33*y - 234. Let v be q(w). Solve v = -s + 1, -s + 5*s - 7 = -t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*((z*z**(2\/7))\/z*z)\/z*z**(3\/10))**(2\/3))**(-6\/5) assuming z is positive.\nAnswer: z**(-222\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4*d - 128 = -0*x, 12 = 3*d. Let b be 2\/8 - 294\/x. What is the third biggest value in b, 0.1, -2\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9225.39109 - -8.5.\nAnswer: 9233.89109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b + 33. Let n(m) = 4*m - 67. Determine -9*a(k) - 4*n(k).\nAnswer: 2*k - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 12:21 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 23 + (-4 - 14).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 12. Suppose 0 = a + 3*f - 45, 2*a = j*f - 3*f + 58. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 55*a - 4901. Calculate d(60).\nAnswer: -1601","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 + -8. Let x = 38 - l. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 5*a - 30 = o, -3*a + 32 = 4*o. Let b = o - 5. Let w = 4 + b. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -u**4\/4 - 2*u + 7. What is the first derivative of v(k) wrt k?\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2698 and 6612.\nAnswer: 469452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3181 = 4*a, -5*l + 2357 = -3*a - 7*l. Let w = a - -792. Solve 0*g - w = g - 3*v, -6 = -3*v for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.3307741 - 38099009.6692259. Let f = -38099010.9999962 - i. Let h = f + -4. What is h rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 9:48 PM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3319, -4, 5, -2, -1 in ascending order.\nAnswer: -3319, -4, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.193, 0.06, 132, 0 in decreasing order.\nAnswer: 132, 0.193, 0.06, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(75) + 1)**2.\nAnswer: 10*sqrt(3) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1106219 is divided by 241?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1212 is divided by 303.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/91 in 0, -0.05, 33, -2\/5, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 4732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1.466*-787\nAnswer: 1153.742","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 13*q**3 - 122127*q**2 + 122126*q**2.\nAnswer: -13*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 743132 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 1?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2176 divided by 68?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5, -58, -107, -152, -193, -230, -263?\n\"Answer: 2*y**2 - 59*y + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 131951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 0 - 1 + 1 - 42*i**2. Let b(r) = 13*r**2 - 3. Let x(g) = -35*g**2 + 8. Let w(z) = 8*b(z) + 3*x(z). Calculate w(s(u)).\nAnswer: -1764*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 - 41. Suppose -c + 5*c + 68 = s. Sort -1, -4, c.\nAnswer: c, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 3. Suppose 4 = -m + s, j = 5*m - 2*s + s. Let d(l) = -2*l + 1. Calculate d(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -6*c**2. Let j(y) be the second derivative of 0 - 3*y + 0*y**2 + 0*y**3 + 1\/12*y**4. What is f(j(o))?\nAnswer: -6*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6803.6*-0.2\nAnswer: 1360.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 60 - 84 + 6*i + 76. What are the prime factors of z(34)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -207295\/12 - -17264. Calculate the common denominator of s and (-3)\/(-84)*-30 - 5\/(-5).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of 7*r**4\/12 - r**3\/3 - r**2 + 2*r. List the prime factors of c(2).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 60067206?\nAnswer: 60067206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 1 + 84*g - 84*g + 2*g**3. Let o(z) = -z. Give h(o(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of 23*k**8\/336 + 43*k**7\/105 - k**6\/120 + 43*k**5\/20 - 2529*k**2. What is the third derivative of p(u) wrt u?\nAnswer: 1380*u**2 + 2064*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2816*l**2. Let i(b) = 8*b. Calculate t(i(p)).\nAnswer: 180224*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 0 + (-9 - -5 - -8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 529144 to the power of 1\/2, to the nearest integer?\nAnswer: 727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + z**2 + z + 1. Let v(p) = -2*p**3 - 16*p**2 + p + 1. Give -2*n(x) + 2*v(x).\nAnswer: -2*x**3 - 34*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5*c - 5. Suppose -3*t - 4 = -1. Let q(u) = -1 - 2*u - 2 + u. Let d(j) = j + 2. Let o(x) = -4*d(x) - 3*q(x). Determine t*r(k) - 6*o(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 0*a**3 - 2 + 0*a**4 + 0*a - 1\/5*a**5 - 1\/2*a**2. Find the second derivative of u(d) wrt d.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 5 = 263*w - 259*w, 3*i - 2*w + 25 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*u = -213*u - f + 88, 4*f = -62*u + 1364 for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -4*k**2 + 2*k - 2. Let b(l) = -l**2 - l. Let t(z) = 3*b(z) - q(z). What is the units digit of t(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.09 + -0.21. Let f = h + -9.7. Let b = 5 + f. What is the second biggest value in b, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -133692 and 156 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/(-220))\/((-69)\/(-6) - 9)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000132795889 to 7 decimal places.\nAnswer: 0.0000133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*v - 6300 - 210 = 59*v - 34*v for v.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of 0*l + 0 - 1\/6*l**4 + 0*l**3 + 6*l**2. Let b(d) be the first derivative of d**2 - 8. Determine g(b(q)).\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)*2)\/sqrt(3) + sqrt(30))\/((sqrt(72)*-1)\/sqrt(12)).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2269147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16145 is divided by 1761?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 19923, 20011, 20099, 20187, 20275?\n\"Answer: 88*u + 19835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(448)*-6*-3.\nAnswer: 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) 2 (c) 4 (d) -23\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.59069 rounded to 1 decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -6415007568 divided by 3\nAnswer: -2138335856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 650895 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.6 + -4. Let l = g - -0.8. What is the closest to 1\/3 in -0.3, 5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -3, 1 in increasing order.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of x**3\/3 + 2*x**2 - 6*x + 2. Let r be d(-6). Suppose -3*z + 240 = 2*z. What is the highest common factor of z and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 - 17*m + 16*m + 16)*(-19 + 6*m + 19)*(2*m**2 + 0*m**2 - m**2 + (-2*m - 2*m + 2*m)*(2*m + 4*m - 4*m) + 3*m**2 + 2*m**2 - 4*m**2 + m - m**2 - m).\nAnswer: 18*m**4 + 144*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -78 + 76*n + 63*n - 131*n. Calculate b(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1736, 14709, 50280, 119747, 234408?\n\"Answer: 1883*x**3 + x**2 - 211*x + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -q**3\/3 + q. Let y(m) = -4*m. Let d(o) = o + o - 4*o + 8*o. Let b(p) = -5*d(p) - 8*y(p). Determine b(w(f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(sqrt(7) - (sqrt(77)\/(sqrt(11)*2) - sqrt(7))).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/108320?\nAnswer: -3\/108320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.68 - -1.68. Let w = -1632.1 - -1632. Let k = -0.5 + 0.3. What is the closest to 1 in w, k, v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 14308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29.3 + 42.6. Let r = -0.076 - 12.924. Let o = f + r. Put -3, o, -0.3 in decreasing order.\nAnswer: o, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -357*c = -365*c. Solve c = -29*t + 7*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104 and 14917864.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.126760469 rounded to four dps?\nAnswer: -0.1268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttt when four letters picked without replacement from {t: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 10. Let f be z\/(1\/(-2))*23. Suppose -4*h = -f - 78. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 32*h - h + 455 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 1\/3 (b) 6\/113 (c) 1 (d) 0.04 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j + 259*j**3 - 817*j**3 - 2*j. Is h(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -5 - -2) + 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c - 8. Suppose -48 = 3*y - 15. Let h be q(y). Suppose -h*g = 5*o - 139, -4*o = -2*g - 66 - 54. List the prime factors of o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*t = -57*t + 282086 + 197386. What is the ten thousands digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w - 1. Let u(s) = 12*s + 20. Determine -3*t(y) - u(y).\nAnswer: -3*y - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 11 - 2 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/3 (b) 73 (c) 2\/9 (d) 0.4 (e) -2\/9 (f) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 56\/(-48)*(6 + (-783)\/126). Which is the nearest to -1\/28? (a) r (b) -2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2073156580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 280 + -222. Put 0, 2, i, -1 in descending order.\nAnswer: i, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/5)*o*o**3)\/(o*o**(-3\/4))**24 assuming o is positive.\nAnswer: o**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-135)\/(-108) + (-2600)\/96. Which is greater: c or -27?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20a5 (base 11) in base 3?\nAnswer: 10210212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2\/4 - 4*f.\nAnswer: f*(3*f - 16)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 111?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12121 - 101121?\nAnswer: -12000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10 + 5)*(-2)\/3. Let r be 5\/(v\/(-8)) - 0. Sort r, 6, -4 in decreasing order.\nAnswer: 6, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 8, -7\/4.\nAnswer: -7\/4, -4\/7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 4:33 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {r: 2, q: 9, y: 8}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m\/(m*m**6*m*m))\/m)\/(m*m**3))**(-7\/5)*(m*m**(-1\/4)*m*m**(-6))**(-15\/2) assuming m is positive.\nAnswer: m**(1947\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -144*z**2 + 1335*z - 131. What is q(9)?\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 8, 11*o - 7 = t + 8*o. Suppose -4*w - 28 = -t*h + 12, 2*h - 16 = -w. Solve c - h = -c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i. Let x(t) be the second derivative of 2\/3*t**3 - 7\/6*t**4 + 10*t + 2*t**2 + 0. Let h(w) = -w**2 + w + 1. Let m(j) = -4*h(j) + x(j). Give n(m(b)).\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 985 or 984?\nAnswer: 985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2376*j + 36 = -2*l - 0*l - 2386*j, 3*j - 6 = 5*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qj when two letters picked without replacement from {s: 1, f: 6, q: 4, t: 2, j: 2}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -410*o**4 + o**3*x + 438*o**3 - 4*o**2 - 252589*x wrt o.\nAnswer: -9840*o + 6*x + 2628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1579459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 4*i - 10. Let y be v(-6). Factor -2*g**y + 10 - 29 - 10*g + 7.\nAnswer: -2*(g + 2)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 1 = 48. Let d be 1 - -8 - ((-2 - 1) + z). Solve 15 = -2*l + d*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a centimeter in millimeters?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -498*a = 238*a + 10304 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*n**2 + 17*n**2 + 18*n**2 - 6*n**3 as w*n + b*n**3 + i + v*n**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 738 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -155519\/60 + 2592. Let z(y) be the third derivative of -y**2 + 0 + 0*y + 1\/3*y**3 - l*y**5 + 5\/24*y**4. Give z(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (-3 + -4 - -26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*a + 23*a - 53*a + 17*a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5291387?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3680 and 35600.\nAnswer: 1637600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {z: 3, o: 1, y: 2, v: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(1\/(-4*(-5)\/(-60))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 divided by -34443255.\nAnswer: -26\/34443255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v - 7. Let h(c) = 0 - 10 + 9 - 2*c - 3. Calculate -7*h(q) + 4*x(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**3 - 48*r**2 = 0. Calculate r.\nAnswer: -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -1\/7, -15, -5, 0.09?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001110101101010 - 10000101?\nAnswer: 11001110011100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262*z - 34 = -273*z + 4*w, 69*z - 10 = 67*z + 2*w for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 39021684 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 5*v - 5*s, -5*v + 4*v - 11 = -2*s for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 6*i - 13210226*i**2 - 17*i**3 + 4 + 13210232*i**2 - 3. Let z(x) = 17*x**3 - 5*x**2 - 5*x - 1. Give 5*b(m) + 6*z(m).\nAnswer: 17*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 111.\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -s**5\/10 - 3*s**4\/4 + 5*s**3\/3 - 1972*s**2 + 165*s - 14. What is the first derivative of n(l) wrt l?\nAnswer: -6*l**2 - 18*l + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 492*z**3 - 610*z**2 - 1464*z**3 + 488*z**3 + 489*z**3.\nAnswer: 5*z**2*(z - 122)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - w + 0)*(26*w - 94 + 94)*(-2*w**3 - 2*w**3 - 2*w**3).\nAnswer: 156*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 80 + -57. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(3 - 2 + 2)*(4 - 4 - 3*p**2) + 17*p**2 + 4*p**2 + p**2.\nAnswer: 40*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -182272000 to the nearest 100000.\nAnswer: -182300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 79837567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 2013907.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 184029 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 267 + -60.484?\nAnswer: 206.516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32180668 to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100 + -131?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 5*d**2 + 9*d - 8. Let b be y(6). Suppose 4*n + b = 50. Let w be (-88)\/11 - ((-699)\/63 - (-4)\/42). Solve w*h = n + 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15833*h**5 - 77172*h**2.\nAnswer: 949980*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2556730 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 5 (c) 1.71 (d) -0.3 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**3\/3 + 358*g**2\/3 + 8*g\/3 - 1432\/3 = 0. Calculate g.\nAnswer: -2, 2, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cd when two letters picked without replacement from {n: 4, m: 4, k: 5, c: 1, d: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 9*n = 960. Find h, given that 3*h + 2*h**2 + 0*h + 0*h**2 + 63*h**3 - n*h**3 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2409424*c - 803124*c - 803146*c - 803153*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -5. Suppose 17*x + 13 = g + 19*x, -x = -3*g + 11. Let s = a + g. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q + 48, -2*d - 7*q + 113 = d - 2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 67\/42 - 4750\/3325. Suppose 4*y - 2*m = 8, y + m + 1 = -3. Is x at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y + 5*y + 5*y)*(0 - 5*y + 0) to b*y + p*y**2 + n and give p.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1147753.6 to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.266 - 0.734. Let k = -2.252 + -0.278. Let t = k - 0.47. Which is the nearest to 1\/4? (a) -2\/11 (b) u (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) - (-1 + -1 + sqrt(112)) - 1*sqrt(112)*1)**2 + ((sqrt(112) - sqrt(112)*2)*-6)**2*-3 + -4.\nAnswer: -11984 - 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/7)\/h*h)\/(h\/h**(3\/4))*h**(-4\/5)*h*h*h\/((h\/h**(-4))\/h)*h*h*(h**1)**(1\/22)*(h*h**(1\/2))**(3\/2) assuming h is positive.\nAnswer: h**(2059\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -19, 283 in descending order.\nAnswer: 283, 2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 141, 119, 97, 75, 53?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 8*a = 60. Let q be a - 4\/((-20)\/15). Let p = 21 - q. Solve -7 = -3*u + p for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from frrrurf. What is prob of picking 1 u, 1 r, and 1 f?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 10*b**2 - 84*b + 48. Let h be j(5). Solve 5*i - 2*v = -6*v - 11, -15 = -3*i + h*v for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 137 in -326.1, -1\/6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 15, 41, 91, 177, 311, 505, 771?\n\"Answer: 2*j**3 + 12*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -259632462 and -3342823.\nAnswer: -262975285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.536 - 0.136. Let i = t + -2.4108. Round i to three dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 9*d + 143. Let f be w(-16). Let u be (f - (3 + 1)) + 608\/76. Solve -u*j + 13 = -n + 5*n, -2*n = j - 5 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2294 and 911532?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 69\/4 + (-2)\/8. Which is bigger: 16 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -5, 0, 0.02, 7.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 1608804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-37)\/(-7) + (-4)\/14. Suppose -c*m + 10 = -2*v, -4*m + 2*m - 2*v = -4. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-177*j**3 - 248*j**2 + 248*j**2)*(-1 + 0 - 1).\nAnswer: 354*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 171 in 0.5, -1\/5, -373, 5, 0.2, -53?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 3*j - 2. Let m be z(4). Suppose 25 = 5*a - r, 3*a + m*r - 7*r = 15. Solve 4*i + 0*p + 1 = -p, -5*i + a*p = -30 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 425367 a multiple of 939?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10257 - 8567102?\nAnswer: -8577359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 2:52 AM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.801322 rounded to 1 dp?\nAnswer: -15.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.9 - -0.7. Let o(j) = -j**2 + 5*j - 3. Let k(w) = 3*w**2 + 1. Let h be k(1). Let x be o(h). What is the nearest to m in -0.4, -4, x?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(3\/3) + -1. Let i(h) = -8*h - 7. Let x(r) = 7*r + 6. Let f(o) = y*x(o) + 6*i(o). Let v be f(5). Solve 0 + 10 = v*j + 5*g, 4*j + g - 8 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9 + 7)\/(-1 - 1). Let q(k) = b + k + k**3 - 3*k + 0*k. Give q(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((-10)\/(-4) - 3) + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*q**2 - q**3 + 6 - 3*q**3 + 3*q**2 wrt q?\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -13 + 17. Let o be (y\/4)\/(2\/(-4)). Is -17*(4 - 5) + o a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-3))\/(4\/6) - (17 + -8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 11*c - 6075. Let d(n) = 2*n - 1216. What is 29*d(i) - 6*k(i)?\nAnswer: -8*i + 1186","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z**2 + 53*z - 157. Calculate r(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5305 - 5257. Which is the third biggest value? (a) g (b) -1\/6 (c) 1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**2*g**3 + 2*c**2*g**2*k + 2*c**2*k - 19*c*g**3*k + c*g**3 - 109*c wrt g.\nAnswer: -6*c**2 - 114*c*k + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*h**2 - 62*h + 28*h + h**3 - 2 - 28*h**2 + 33*h to the form i*h + p + m*h**3 + s*h**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5478 - -5477. Which is bigger: -284\/7 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1450*t - 1452*t = 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 - -42. Calculate the highest common divisor of u and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/2 of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*s = s - 16, 2*u + 4 = -s. Let d = u - -17\/4. Is d <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*w = 54*w + 62*w. Solve -6*z + 20*z + 28 = w for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8676 and 258?\nAnswer: 373068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 588105?\nAnswer: 3, 5, 7, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 268 or -734?\nAnswer: -734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 2:28 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*i - 85*i + 61*i = 840 for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1216) + 3))**2 + sqrt(1216)*-1*-5.\nAnswer: 1768*sqrt(19) + 44100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uwwjxu. What is prob of sequence xu?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2)\/f)**(-4)\/(f**(-1))**(-2\/55)*((f\/(f*f*f\/(f**(3\/5)*f)*f*f))\/f**0)**(-23) assuming f is positive.\nAnswer: f**(3694\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 585866?\nAnswer: 2, 292933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-93)\/62)\/((-1)\/(4\/3))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 0.5 (b) -9\/4 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**5 + 19*g**4 + 47*g**3 + 57*g**2 + 34*g + 8.\nAnswer: (g + 1)**3*(g + 2)*(3*g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 595024 is divided by 4877?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-8)*-3*(173376\/(-840))\/(-86)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 180664 and 19118.\nAnswer: 156997016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1248672*f + 8 + 1248666*f + 288 + 4*f**2 - 2*f**3)*(2 + 0 + 0)*(-1 + 3*f + f - 2*f) to a + p*f**2 + l*f**3 + v*f**4 + d*f and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24)\/(-14) - (-6 + 40\/7). Suppose -z*g + 4*b = -g + 8, 0 = g + 5*b - 37. Solve 5*p - 2*p - g = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**4 + 25728700*v**3 - 110327658705432*v**2 + 157699229403197361092*v + 157699339730881795226.\nAnswer: -2*(v - 4288117)**3*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -2.9. Let y = 297 - 295. Suppose 0 = o + 5*g + 7, y*g + 5 = 2*o + 7. Which is the closest to z? (a) 0 (b) o (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 10. Let h be i(-3). Let z(u) = 10*u + 13. Let x be z(h). What are the prime factors of 1684\/12 - ((-24)\/9 + x)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1570\/45 + 2\/18. Let w = -30 + f. Solve w*b = -0*m - 5*m, -3*m - 24 = -3*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*c - 6 + 6)*(2 - 2 + c)*((-c**2 + 2*c**2 + c**2)*(-1 + 1 + 1) + 2*c**2 + 3*c**2 - 2*c**2) in the form w*c**4 + b*c**2 + l*c + k*c**3 + y and give w.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/5035 and 113\/223130.\nAnswer: 4239470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 407544166 a multiple of 2269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - t - 1. Let v(c) be the first derivative of -c**3\/3 + c**2 - 52. Give 2*p(n) + v(n).\nAnswer: n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84921189.\nAnswer: 3, 28307063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -1296*b**5\/13 + 66510*b**4\/13 + 188846*b**3\/13 - 67484*b**2\/13 - 888*b\/13 + 1296\/13 = 0.\nAnswer: -3, -1\/8, 2\/9, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -6. Let z(q) = -q**2 - 5*q - 1. Let y be z(-4). Let m = y + -1. What is the smallest value in p, m, -0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k + 20. Let a be s(0). Let v = 49 - a. Solve -v = -l + w - 6*w, -2*l = 5*w - 33 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 70*o + 126 + 364 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14\/(-35)*7\/((-7)\/1170)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**2 + 3*o + 3. Let n be h(3). Let m(x) be the second derivative of -4*x**3\/3 + 5*x**2\/2 + 2*x. Is m(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 2011?\nAnswer: -2011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.06 - -0.94. Let r = 384.5511 + -386.64. Let g = l - r. What is g rounded to 3 dps?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4874296031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 divided by -3?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/6, -35, -1.3053, 4?\nAnswer: -1.3053","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3 + 3*y**3 + y**2 + 13*y**4 + y**5 - 14*y**4.\nAnswer: y**2*(y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/1881 and 89\/1197?\nAnswer: 13167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*s - 687087 - 907308 = 565387. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a13723 (base 11) to base 4\nAnswer: -12031331000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/7 (b) 4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*g**2 - 6*g**2 - g**2 - 5*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -4*c - 4, 3*a = -202*c + 198*c - 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 = 4*l - 5*u, -7*l - 4*u = -11*l + 128. What is the highest common divisor of 319 and l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.2, -7099, 0.22, 2 in increasing order.\nAnswer: -7099, -2, 0.2, 0.22, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -2813.38064 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = -511*j + 517*j - 15. What is the smallest common multiple of j and 24?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 5*h**4 - 793930*h**3 + 6351185*h**2 - 10320600*h + 4763340 = 0.\nAnswer: 1, 6, 158778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6182, -12880, -19604, -26366, -33178?\n\"Answer: -2*k**3 - k**2 - 6681*k + 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 14, 3, 4, 15165, 5.\nAnswer: -1, 3, 4, 5, 14, 15165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.258 - 5.842. Let g = -7 + 0.4. Let u = g - d. Which is smaller: 0.1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2. Let p(l) = l**2 - 4*l - 1. Let i(v) = -3*o(v) - p(v). Determine i(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 158296 and 18860?\nAnswer: 746365640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 11:39 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) -3 (c) 0.3 (d) -2\/7 (e) 76\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8*9\/48)\/(27\/(-4)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 19*f**2 + 34*f + 5. Let b be q(17). What is the remainder when 230 is divided by 1*b\/(-5) + 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.84911 millilitres in litres?\nAnswer: 0.00584911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s - 14 - 48 + 9 - 37.\nAnswer: -6*s - 90","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 2*a - 741, -3*a - 2*p - 373 = -4*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - j**2 + j - 1. Let c(f) = 12*f**3 + 7*f**2 + 5*f - 5. Let h(l) = -c(l) + 5*y(l). What is the third derivative of h(a) wrt a?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287 = 15*x + 6*z - 37 - 81, -655*x + 4*z - 246 = -657*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4846456, -4846445, -4846408, -4846333, -4846208, -4846021, -4845760?\n\"Answer: 2*x**3 + x**2 - 6*x - 4846453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.24 - 0.06. Which is the second smallest value? (a) j (b) 0 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 2, -11 in ascending order.\nAnswer: -11, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 125 + -123. What is the nearest to a in 2, 4, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*(1 + (-4)\/6). Let k = -4 + 7. Let t(w) = 3*w**2 + k*w + 2*w**2 - 4*w. Give t(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127719 (base 10) in base 14?\nAnswer: -3478b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115347 divided by 115347.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.987 and 9821.\nAnswer: 9820.013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - 55\/(-20) - (-17)\/4. Let r(a) be the third derivative of a**4\/8 - 5*a**3\/6 - 2*a**2. Calculate r(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (4 - (-2 + 7)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1090 - 1885. Let s = 795 + v. Determine l so that 2*l**3 + s + 2*l**2 + 2\/3*l + 2\/3*l**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-10))\/((-57)\/95). Let z = 62.6 + -54. Let p = -9 + z. Which is greater: p or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1372500329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -a + 15, 4*b - 23 = -a. Suppose 3*g - 4 = 6*l - l, -4*g + 2 = -b*l. Which is smaller: g or 1\/11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*f + f**3 + 7*f)*((-4 + 2*f + 4)*(-4 + 1 + 5) + f + f + 0*f).\nAnswer: 6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from kkkkkkkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 9 = -p, 2*p - 6*p - 6 = -5*b. Let x be p\/6 - (-58)\/12. Let q(s) = 5*s - 5. Calculate q(x).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 135 and 840780.\nAnswer: 840780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -125525\/14 - -8843. Let r = 123 + v. Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 4*g = -2, 4*j + 4*g - 3 + 15 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of z**6\/120 - z**3 + 9*z**2. Let t(f) = -3*f**3 + 13. Give 6*t(l) + 13*u(l).\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3532 + -3464. Suppose -2*v - 2*v + 96 = 0. What is the remainder when b is divided by v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-9))\/(3\/(-27)*-3). Let k be -2*4\/3*(-36 + 24). Sort 4, k, x.\nAnswer: x, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, 26, -0.06?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 35094*j**2 + 217*j - 218. Is g(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 167 = 4*q, -2*j + 211 = -671*q + 666*q for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 4*r**2 + 7*r + 3. Let i = 23 - 28. What is l(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 8*v**2 + 22*v - 47. What is r(7)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3447*s = -572*s - 237411 + 36461 for s.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 10:21 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 9*h**2 + 92*h - 26. What is m(-11)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 3, s: 13}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z\/(z*z\/z**9)*z)\/z)\/z*(((z*z**(-4))\/z)\/z)\/z)**20\/(((z\/z**(1\/2))\/(z*z**(5\/6)*z))\/((z*z\/(z\/(z*z**(-4\/7))*z)*z*z)\/z**(-5))) assuming z is positive.\nAnswer: z**(1045\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 151, 1700, 3195, 4630, 5999?\nAnswer: 7296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 + 52. Solve -2*b + 0*b + 5*f = -6, 5*f + 10 = o for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 30 = z + 3*z, -15 = -3*z. Let h be (-2)\/(-14)*r\/5. Let d = -2221 + 2221.1. Which is the second biggest value? (a) d (b) 15 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + ((1*sqrt(117) - sqrt(117) - sqrt(117))\/sqrt(9) - ((2*sqrt(52) - sqrt(52))\/sqrt(4))**2 - 2*(4*sqrt(832) + sqrt(832))**2)).\nAnswer: -208055 - 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sqsqxqsqsxxxqq. What is prob of picking 3 q?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -8*m**3 - 9*m**2 - 13*m - 8. Let y(v) = -11*v**3 - 14*v**2 - 19*v - 13. Let t(i) = -7*g(i) + 5*y(i). Calculate t(7).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2194823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(220)\/(sqrt(180)\/sqrt(4)))**2 - (2*sqrt(66)\/sqrt(6) - (sqrt(99) + sqrt(99)*1 + sqrt(99))\/sqrt(9))**2).\nAnswer: -55\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = z + 1156, -z = -2*z + v - 1131. Let o be -6*3\/((-36)\/z). Let h = 2221\/4 + o. What is the common denominator of -33\/14 and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1595419?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -21*t**3 + 2*t**2 - 2*t + 4*t**3 - 4*t**2. What is the tens digit of l(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58085.\nAnswer: 5, 11617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-26)\/7 - -4 - (-2)\/42. What is the nearest to 2 in 3\/2, -28, t?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*m**2 + 15*m**2 + 181*m - 367*m + 0*m**2 + 186*m.\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.956 + -0.044. Which is the nearest to 1? (a) 0.5 (b) v (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47877398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-30)*18\/12*55. Is v != 465\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2450823 or -2450394?\nAnswer: -2450394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/154)\/((-26)\/7007)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -40*t. Let i(m) = m**2 - 28*m. What is i(w(q))?\nAnswer: 1600*q**2 + 1120*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -67579, -67581, -67583, -67585?\n\"Answer: -2*o - 67577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -12623, -17468, -30627, -56258, -98519, -161568?\n\"Answer: -693*b**3 + b**2 + 3*b - 11934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*c + 11*c + 616. Let w = c - -328. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 11*w - 80 = 0. What is the remainder when w is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 39 = -0*r - q, 2*q = -3*r - 28. Let f = r + 31. What are the prime factors of f?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) - -2*sqrt(63))\/sqrt(9) + 3.\nAnswer: 3 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 30, 2\/3, 3.\nAnswer: -11, 2\/3, 3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -84 + 79. Let l be (3 - 3)\/((-2)\/10*m). Factor -1\/2*r**3 - 3\/2*r + l - 2*r**2.\nAnswer: -r*(r + 1)*(r + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of 5*q**4\/24 - 213*q**2. Let o(r) = -6*r. Determine o(y(w)).\nAnswer: -30*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 832351*-12\nAnswer: -9988212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = x - 4*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 12:06 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 - 7 - ((3 - -3) + 2 + -2 + 1).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(17)*-5 + -2.\nAnswer: -5*sqrt(17) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.75 - 9. Let y = -0.05 + i. Which is the smallest value? (a) y (b) -4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -45. Let c = f - -34.94. What is the third biggest value in -2\/3, -0.5, 4, c?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -114702 at most -114703?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 171 - 48 = 0. Does 5 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/8)\/(1\/8*-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1651, -1589, -1421, -1093, -551, 259?\nAnswer: 1391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 0)*(174*c - 349*c - 9*c**2 + 171*c) in the form k*c**2 + y + g*c and give k.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ten sevenths of a week in hours?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(273)\/sqrt(28))\/((sqrt(15) - (sqrt(240) + sqrt(15)))\/sqrt(5)).\nAnswer: -sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 4:33 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1312 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 3:22 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**2 + 14*j + 1. Suppose 49 = -c + 6*c - 3*g, 5*c - 61 = -3*g. Let b be k(c). Let f = -29 - b. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 323 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y**3 + 2 + 5*y**3 + 4*y**3 - 6*y**3 - 2*y as f*y**3 + b*y + t*y**2 + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1644*s + 4341*s - 1779*s)*(5*s**2 - 9*s**2 - 2*s**2).\nAnswer: -5508*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6280022?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -397 - -1659. What are the prime factors of (50 + -48)\/(4\/v)?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -8. Let o = q - -0.6. Let x = -1 - o. What is the third smallest value in x, -3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7077 + 11193 = 11*g + 18*g. What is the least common multiple of 490 and g?\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17475*g + 225*g**3 + 17475*g - 224*g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/2)\/((-10)\/40). Suppose -n*k + 30 = 2. Suppose 0 = -a - 2*i + 25, k*a - 50 = 2*a + 5*i. Is a a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135 and 645.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2141360 not equal to -2141357?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -12. Let x be (-3)\/(-5) + 6\/v + -2. Let t = x - -10. Let b(u) = -u**2 + 8*u + 6. Determine b(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09 - 4371.75.\nAnswer: -4371.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5815 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7b (base 12) in base 5?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1960*y + 167638*y**2 - 1960*y.\nAnswer: 167638*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 1:43 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 121185 + -19631851\/162. What is the common denominator of 151\/2520 and t?\nAnswer: 22680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83 + 160 + 13 = 128*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.8*1095.52.\nAnswer: 3067.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 120*n**2 - 2*n + 64. Is 18 a factor of u(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1227 + -1224. Solve 4*k + 5 = 4*t - g, -3*k - 15 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1205219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-one fifths of a gram?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j\/(j**(-2)*j))\/j))\/j*j)**32 assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8338405?\nAnswer: 5, 1117, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 10\/3, 1.4, -0.5 in descending order.\nAnswer: 4, 10\/3, 1.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -13, 0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.359 + 0.059. Let d = -12 - -7. What is the second smallest value in 0.3, f, d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*c - 4*h = 124*c + 448, c - 4*h - 210 = 0. Calculate the remainder when 20941 is divided by c.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3, 10, 25, 42, 61, 82?\n\"Answer: q**2 + 10*q - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of n**4\/12 + 2*n**2 - 42*n. Let q(g) = -2 + 7 - g**2 + 3*g**2 + 0. Determine -5*m(b) + 4*q(b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -28, 247.93, -1\/5, 2\/29?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172*k + 177*k = 1305. What is the greatest common factor of 9 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6547 + 111*y**2 + 1603*y**2 + 7902 - 13069 wrt y?\nAnswer: 3428*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (3 - 20 - -14 - 22)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 435, 1431, 3353, 6507, 11199?\nAnswer: 17735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3307933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -391383, -391502, -391715, -392034, -392471, -393038, -393747?\nAnswer: -394610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-30))**(-23)\/(d\/(d\/(d**(11\/9)\/d))*d\/(d*d**39)) assuming d is positive.\nAnswer: d**(6559\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 22*i**2 - 10*i - 8. Let r(f) = 23*f**2 - 1. Let n be r(-1). Suppose t = -2*v - t + n, 0 = 5*t. Is h(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -3*d**4\/2 + 182*d**3\/3 + 63*d**2 - 62*d + 554. Determine y so that n(y) = 0.\nAnswer: -1, 1\/3, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -125 - -97.6. Let k = y - -27. Suppose -4*q + h = 13, -3*q + 0*q + 2*h = 16. What is the third biggest value in 1, k, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 186 - 54. Is h a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -519181 and 560.\nAnswer: -290741360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 t when two letters picked without replacement from nnnnntnnnnnnn?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 2948?\nAnswer: 1474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -288, -579, -870, -1161, -1452, -1743?\nAnswer: -2034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40590814 is divided by 67?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m - 3 + 3*m - 1. Suppose 2*l = 6*l + 36. Let r be 56\/l + 6\/27. Let p(z) = -z + 3. Calculate r*p(o) - 4*h(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -0.084.\nAnswer: -0.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v - 3. Let c be m(-4). Let s(k) = k**2 + 8*k + 8. Determine s(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 + 3484409*s**2 + 20906481*s\/5 + 6271947\/5.\nAnswer: -(s - 696883)*(5*s + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**4\/9 - 7288*k**3\/3 - 43744*k**2\/9.\nAnswer: 4*k**2*(k - 5468)*(k + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -0.516, -1, 2\/19, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*c**2 + 60 - 90*c**2 - 61.\nAnswer: -131*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1171300 and 1360?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 13*s**2 + 1. Let k(y) = -24*y**2 - 2. Let i(z) = -k(z) - 2*n(z). Let x(w) = 196*w. Give i(x(l)).\nAnswer: -76832*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from auuuuuauauuuauauuua. What is prob of sequence aa?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 333416.7l?\nAnswer: 333416700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 110 - 104. Suppose 0*u - 63 = 3*u. Let h = -13 - u. Calculate the least common multiple of a and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1226, -10273, -34934, -83015, -162322, -280661, -445838, -665659?\n\"Answer: -1301*m**3 - m**2 + 63*m + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5\/32991 + 52224853\/659820. Let m = -291\/4 + f. Which is bigger: m or 6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24\/121175 or -1?\nAnswer: 24\/121175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, y: 6, o: 6, p: 1}. Give prob of picking 1 p, 2 a, and 1 y.\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 2*z = 17, 0 = h + 29*z - 25*z - 17 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3831 + 3842. Solve 34 = 5*m - 3*b, -y = -m - 3*b + 5*b for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/8 of a meter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2aa90c01 + -1?\nAnswer: -2aa90c02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(117) + -1)*-5.\nAnswer: -15*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/12)\/(k\/k**(-6)))**(-44) assuming k is positive.\nAnswer: k**(935\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40 - 0) + -8 + 1 + (1 + 11 - 1).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*k = -p + 8, 16 = 2*p + 2*k. Let 120*v + 80 + 132*v**p - 127*v**3 + 51*v**2 - 6*v**2 = 0. Calculate v.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - 0.1. Let v = -0.2 - g. Let o = -3 - v. Which is the third biggest value? (a) o (b) -5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -593988.1992 + 593532. Let v = l + 456. Round v to 2 decimal places.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 g, and 1 d when three letters picked without replacement from {d: 2, g: 4, o: 2, n: 6, x: 3}.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 298, 549, 816, 1105, 1422?\n\"Answer: q**3 + 2*q**2 + 238*q + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 704 and 184.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 392 and 3022859?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) -3\/11 (b) 0.0403 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 10202?\nAnswer: -10120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*j + 24*j - 7*j + 29*j + 3*j.\nAnswer: 68*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -5*h + 6 - 18 - 2*h - 3*h. Let g(w) = 2*w**2 + 8*w - 27. Let u be g(-6). List the prime factors of s(u).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -1. Let g(q) = 3*q + 4 + 2*q + 2*q**2 + 2. Let p(l) = -g(l) - 6*j(l). Let i(u) = -6*u**2 - 14*u. What is -5*i(h) + 14*p(h)?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*n = -4672 + 54499. Calculate the remainder when n is divided by 121.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -12. Let m be (-18)\/r + (-4)\/16. Suppose -6*j + m*j + 271 = 3*p, j = -4*p + 357. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125960.\nAnswer: 2, 5, 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 20 = -5*i, -10*s = -13*s + i - 8. Let o = 1\/126 + -421\/126. Is s smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 6 (b) 0.1 (c) -3 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 + w - w)*(-w + 0 + 0) + (-w**3 + 0*w**3 + 2*w**3)*(w + w - 4*w) + 1289*w - 358*w**4 - 1289*w.\nAnswer: -361*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e8 + 0?\nAnswer: -1e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60.933 + 0.067. Let m = n - 61.2. Is 17 greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/2*(6 - 9). What is the remainder when 2 is divided by (x - 5 - -1)*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17855 - 17830. Solve x*t - 28*t + 9 = 0, -5*v - 7 = t for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67988305?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 5*v**3 - 1282*v**2 + 515*v - 774. Give x(256).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2121311020 (base 4) to base 6.\nAnswer: -21301024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 7*d + 11. Let k(i) = -9*i + 11. Let l(p) = -2*p + 1. Let g(r) = k(r) - 6*l(r). Give 9*g(f) - 4*v(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-209)\/(-3) - 4 - 2\/(-6). Calculate the common denominator of 17\/22 and (-2)\/(-1) - (b\/(-8) - 5).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 655046.3 grams to tonnes.\nAnswer: 0.6550463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 1:19 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/60 of a minute?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -45, 2, 135, 396, 827?\n\"Answer: 7*f**3 + f**2 - 5*f - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w**2 - 60*w. Let p(y) = -3*y. Calculate z(p(g)).\nAnswer: 27*g**2 + 180*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -798.91 - -907.4. Let t = 108 - y. Let u = 0.4971 + t. What is u rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 80\/551817 and -29\/72.\nAnswer: 4414536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 5. Let m be u\/(-2)*(-8)\/(-4). Solve -a + 21 = 2*a + 4*t, -4*t + m = -3*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 887 = -3*n + 1701 - 900, 5*f - 16*n = -147 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -19, 1, 0.2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22348204 to the nearest integer?\nAnswer: 4727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/3359 at least 2.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 924 = -25*i + 39*i. Let m(j) = -j**3 - 8*j**2 - 14*j - 8. Let t be m(-6). Suppose n - 15 = -t*n. What is the remainder when i is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - w + 127. Let p(i) = -98*i**2 - 2. Calculate z(p(h)).\nAnswer: 9604*h**4 + 490*h**2 + 133","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*z + 1568 = -16*z for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 3*z**2 + z + 3. Let a be b(-3). Suppose 2*q + 0*q = 2*g + 3546, a = -q - 4*g + 1793. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298 is divided by 77.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 1 + (-8)\/(-18). Let i = -0.46 + -0.04. Sort w, i, -3.\nAnswer: -3, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 295 - 295. Let l(k) be the second derivative of 0 + 0*k**3 + b*k**2 + k + 0*k**5 + 5\/12*k**4 + 1\/30*k**6. Find the third derivative of l(v) wrt v.\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 5*g**3\/4 - 241*g**2\/4 + 283*g\/4 - 47\/4 = 0?\nAnswer: 1\/5, 1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by -19?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -233 - bc?\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13934 is divided by 47.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of 0 + 1\/6*w**3 + 0*w**2 - 2*w. Let d(q) = -2*q - 2. What is -d(v) - 3*z(v)?\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -14*o - 35*o. Let q(r) = r**2 - 7*r + 7. Let z be q(6). Which is bigger: z or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 21395 + -2?\nAnswer: 21393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/8)\/d*(d*d**(8\/7)*d)\/d)\/(d**(2\/29))**(-11) assuming d is positive.\nAnswer: d**(2479\/1624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -7*w + 16*w - 24 - 13*w. Let s be n(-7). Differentiate 7*j**s - 10 + 9*j**4 + 29*j**4 - 7 wrt j.\nAnswer: 180*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*s - 11*s - 239932 = -456*s. What is the greatest common factor of s and 287?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -6.8. Which is the nearest to j? (a) 0.021 (b) -3 (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19313 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2 + 3 + 0*y - y. Let h be c(5). Let z = -1.41 + 0.41. What is the closest to z in 1\/5, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -209*q**5 + 43*q - 1 wrt q.\nAnswer: -4180*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2. Let x = 2 + 4. Let k(a) = 23*a. Let r(g) = -21*g. Let q(l) = 3*k(l) + 4*r(l). Let c(m) = -m. Let f(d) = x*q(d) - 85*c(d). Give f(w(j)).\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -4849436.\nAnswer: -1939774.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 4104497200 to the nearest 1000000.\nAnswer: 4104000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/12 and 36\/49.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 3. Suppose -b*v - 25 = -2*q, 0 = 4*v - 5*q + q + 20. Let s(l) = -l**3 - 6*l**2 - 6*l - 1. What is s(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**8\/84 - 2*s**5\/15 - 11*s**2. What is the third derivative of o(g) wrt g?\nAnswer: 240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + t - 801 + 760 = 0, 47 = -3*y - 5*t for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-203)\/(-638)*(-12)\/7.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 97, 354, 775, 1354, 2085, 2962, 3979?\n\"Answer: -m**3 + 88*m**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 261*b - 1121*b + 278*b + 569*b.\nAnswer: -13*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, v: 2, p: 5, h: 7}. Give prob of sequence vhip.\nAnswer: 7\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -288 - 394 + 169 + 2*x**2.\nAnswer: 2*x**2 - 513","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -783, -787, -793, -801, -811, -823?\n\"Answer: -t**2 - t - 781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 7629?\nAnswer: 53403","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62929375.\nAnswer: 5, 107, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -281*w**2 - 549*w + 1103. Calculate n(2).\nAnswer: -1119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 30, 22464 in ascending order.\nAnswer: 29, 30, 22464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24536, 49087, 73638, 98189?\nAnswer: 122740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*t + 3147 = 107*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4620 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-9) + (-219)\/9. Let j be (-3)\/(-10)*20\/w. What is the closest to 1\/4 in 2\/9, j, 4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of w**7\/21 - 5*w**4\/3 + 18*w. What is the third derivative of j(y) wrt y?\nAnswer: 120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 3 + 3 - a)*((0*a + a - 3*a)*(-3 + a + 3) - 5*a**2 + 4*a**2 + 2*a**2) - 2*a**3 + 0*a + 0*a)*(170 - 366 - 100) - 5*a**3 - 2*a**3 + 3*a**3.\nAnswer: 292*a**3 + 1480*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*o - 52*o + 3*o**4 - 4*o - 69*o - 185 + 184 - 71*o**3 wrt o?\nAnswer: 36*o**2 - 426*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38228, 38234, 38240, 38246, 38252?\nAnswer: 38258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3873808927.99999852 - 3873808850. Let s = -78 + i. What is s rounded to 7 dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 2149438.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -2. Suppose 0 = -u + 3*g - 14, -4*u - y*g + 26 = -7*u. Let q(k) = k + 2. Let x be q(-6). Put 1, u, x in decreasing order.\nAnswer: 1, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 6*i + 9. Let t be k(-7). Let l = t + -19. Let p = 0.1 + 0. Which is the third biggest value? (a) l (b) 0.01 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59247580 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (11 - 18 - -20) - 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -207 + 3*w**2 - 29*w**2 - 95*w**2 - 2*w + 12*w**2.\nAnswer: -109*w**2 - 2*w - 207","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 307 = -19*k + 16*k, -5*u = 10. What is the remainder when k is divided by 32?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 k when three letters picked without replacement from {c: 1, w: 1, k: 2, j: 1, f: 1, x: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - m. Let w = -1.8 + -1.2. Which is the nearest to m? (a) -1\/7 (b) w (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 778 is divided by 112.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*j - 26*j - 33 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1041311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58, 3, -1, 5.\nAnswer: -58, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 95385053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 564 - 571. Let g(x) = 3*x - 4. Let a(w) = -w - 1. Let q(y) = 3*a(y) - g(y). Let h be q(1). Put s, 2, h in descending order.\nAnswer: 2, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3316)\/6)\/((-2)\/(-24)). Let z = -92931\/14 - n. Let v = 1627\/660 + 115\/33. Calculate the common denominator of z and v.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s + 28. Let q be v(9). Suppose 0 = 5*b - q*b + 615. What is the remainder when b is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 131\/17 or 8?\nAnswer: 131\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2230 = -2*y - 65386. Let u = y + 1014427\/30. What is the common denominator of u and -109\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -126 by -18.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -823*j + 961708 = -1532*j - 2939*j - 4300*j for j.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-3452))\/(52\/(-32)). Let p = -572089\/448760 + u. What is the common denominator of p and (0 - (-195)\/(-70))\/(108\/(-21))?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 + 82*c - 56*c + 25 + 22.\nAnswer: 26*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*f + 35*f - 3308 = -5*j, 20 = 5*f. Calculate the remainder when j is divided by 110.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 25*v - 34. Let i be w(3). Let q = -41 + i. Let h = -31\/5 - -227\/35. Which is the closest to q? (a) 2 (b) h (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*b - 2*b - 6*b - 9*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189819 is divided by 2833.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 76 + -76. Which is the third smallest value? (a) s (b) 4 (c) 0.2 (d) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2 - n**3 - n**2 + 6 + n - 3. Let i(b) = 3*b**3 + 2*b**2 - b - 2. Let g be (-27)\/21 + 110\/(-154). Give g*i(f) - 4*m(f).\nAnswer: -2*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22120 + 26465. What are the prime factors of d?\nAnswer: 5, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 7*k**2 + 42*k - 264. Calculate c(6).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -118\/8593?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(171)*-1*-2)\/((sqrt(72)*-1)\/sqrt(8)))**2.\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 + -41 + (-11 + 7 - 3) + -5.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5762 and 1742.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 13. Suppose -4*a = -5*h - 141, -6*a - h = -m*a - 53. List the prime factors of a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 + -0.2. Let f be (-6916)\/2730 + 12\/10. Which is the closest to 1\/3? (a) f (b) -0.9 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 8*h - 2*h + 9*h. Let m(k) = 6*k - 63. Let q(f) = -f + 9. Let b(j) = -2*m(j) - 14*q(j). Give b(l(o)).\nAnswer: 30*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19193 is divided by 3227.\nAnswer: 3058","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98 + 9.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (13\/(-4))\/(3128\/448 + -7). Let d = r - -116. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -332 divided by 2?\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**9\/126 + 7*p**5\/30 - 4*p**2. What is the third derivative of w(i) wrt i?\nAnswer: -480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3163*w**2 - 5305?\nAnswer: -6326*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 946\/330 - 2\/(8\/12).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 25*f + 9. Let k(x) = -31*x - 10. Let h(r) = -3*k(r) - 4*w(r). Let d(u) = -u**2. Give d(h(v)).\nAnswer: -49*v**2 - 84*v - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 31254838729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (0 - -5) - (-12 - -16)) + 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 5*p**2 + 8*p - 12. Let c be z(-3). Solve -17*y - 130 = c*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -6*a**3 - a**2 + 5. Suppose -610 = 126*f + 77 + 69. Let n(v) = -7*v**3 - v**2 + v + 6. Give f*h(x) + 5*n(x).\nAnswer: x**3 + x**2 + 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*b - 15 = 0. Calculate the remainder when (b\/3)\/((-2)\/(-10)) is divided by 18\/8 - 6\/24.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -479 - -466. Which is the second biggest value? (a) x (b) 1\/4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -73 - -5?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {l: 1, d: 2, k: 5, h: 1}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 15, 2, -1768 in decreasing order.\nAnswer: 15, 2, 0, -1768","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2288590721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -126604 and 0.3.\nAnswer: -37981.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**2 + 0*n**2 + 2 - n**2 - 3.\nAnswer: -4*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 2\/7, -73298?\nAnswer: -73298","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(18)\/(sqrt(24)\/sqrt(4)) + sqrt(3) + (1*sqrt(36))\/sqrt(12)).\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 335223954?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of 13*y**6\/2 + y**4\/2 + 17*y**3\/3 - 7*y**2\/2 - 474*y + 8329. Find the second derivative of a(f) wrt f.\nAnswer: 780*f**3 + 12*f + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -854223960.1061 and -0.25?\nAnswer: 854223959.8561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by 107274?\nAnswer: 7\/35758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29742 - 15124. Does 139 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j + 5*j - 38*j.\nAnswer: -28*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert a8 (base 14) to base 4.\nAnswer: 2110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 0*v - 166 = 4*d, 0 = 5*d + 2*v + 216. Let w = d + 74. Suppose 13 = -3*b + 61. Calculate the remainder when w is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.037 - -3.557. Let p = 0.59 - 0.07. Let d = m - p. What is the closest to 2 in d, -3\/10, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-8))\/(-128 + (-602014)\/(-4704))\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 61.60318 millennia?\nAnswer: 616.0318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 5*a**2 - 6*a + 9. Let b(v) = 40*v**2 - 50*v + 75. Let x(s) = 3*b(s) - 25*t(s). Let u(j) = -162*j**2. Determine x(u(l)).\nAnswer: -131220*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u - 16 = -21*u. Suppose u*j = -5*g + 27 - 11, -5*j - 9 = -g. Let h(i) = -17*i**3 - i - 1. Give h(j).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -546 - 1366*g - 5\/2*g**2 = 0.\nAnswer: -546, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 3*q + 7. What is h(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x - 6*x**2 - 46 + x - x + 42. Let j(w) = w**2 + w - 1. Let n(y) = 15*j(y) + 3*s(y). Factor n(a).\nAnswer: -3*(a - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67 - 40. Suppose 3*c - 92 = 70. Calculate the highest common divisor of k and c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/5*670\/536 - (-4 + 38\/4). Let w be 0 + 1 + (-8)\/2. Put 22, q, -2, w in descending order.\nAnswer: 22, -2, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 6*j + 2. Let k be b(6). Suppose -r + 5*u = -3, 2*r + k = -3*u + 5*u. Is 20*(-1)\/(0 + r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 6*j - 48. Suppose -3*n + j = -3*l, -3*n + 5*l + 2 = -2. What is the remainder when 22 is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(33)\/(sqrt(12)*-2) + 1 + -5*-2*sqrt(1584).\nAnswer: -4 + 479*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let r be 11\/2 - (-3)\/(-6). Suppose r*a - 3 = 2. What is the units digit of -6*a*1\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*d**2*m*y + 438*d**2*m + d*m*y - 35*d*m + d - 23*m*y wrt d.\nAnswer: 20*m*y + 876*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -9. Suppose z = -3*z + x. Suppose -s - 20 = -z*f + s, -s - 58 = -5*f. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 672999898 a multiple of 2576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 18555, 1523 in decreasing order.\nAnswer: 18555, 1523, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b - 66*f + 65*f - 15, 0 = b + 4*f for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**5 - 27*j**4\/4 + 159*j**3\/4 - 63*j**2\/4 - 147*j\/4 + 45\/2 = 0 for j.\nAnswer: -5, -1, 3\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 187 - 138ac?\nAnswer: -13725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, -1, 2\/117, 1, -136, 4\/5.\nAnswer: -136, -5\/2, -1, 2\/117, 4\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 2:05 PM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 9450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-5)*(385\/(-10) - -6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 590 - 33*n - 185*n - 113*n wrt n.\nAnswer: -331","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 16*t**2 + t - 1. What is f(-16)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -114 in ascending order.\nAnswer: -114, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 27746 - -10165?\nAnswer: 38022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1956581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(1700) + (4*sqrt(119) + sqrt(119))\/sqrt(7).\nAnswer: 3 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8b - -1f6910?\nAnswer: 1f699b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**2 + g**2 - g**5 + (-2 + 2 + g)*(-27*g**4 + 58*g**3 - 58*g**3).\nAnswer: -28*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -79 + 82. Solve -c - 8 = 4*d - 2*c, -3*d = -y*c + 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 12*b**2 - 7 - 6*b - 2*b**3 + 18. What is the tens digit of y(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + 0)\/((-6)\/4). Let c(b) = z - 3*b + 0 + 1. Let i be c(2). Which is greater: i or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1163\/77 + -163\/11. Let z = -70\/3 + 24. Sort z, 0.5, -2\/3, c.\nAnswer: -2\/3, c, 0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of b**4\/4 + 2*b**3 + 4*b**2 + 14*b + 1. Let o be j(-4). Calculate the highest common factor of 56 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25578 divided by 4.\nAnswer: -12789\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/928)\/((-21975)\/(-468800))?\nAnswer: 4\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 27 = -y, -2*y - 2*l - 14 = -0*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.0286 (b) -71 (c) -3 (d) -0.4 (e) -1\/5 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 193336 (base 15) in base 4?\nAnswer: 10223101323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and 1176.1378745.\nAnswer: 1176.3378745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vi when two letters picked without replacement from {m: 1, j: 2, u: 1, b: 1, v: 2, i: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11870*h**3*r - 5640*h**2*r - 3 wrt h.\nAnswer: 71220*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2, 46, 92, 136, 178?\n\"Answer: -q**2 + 51*q - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8750, -8725, -8688, -8645, -8602?\nAnswer: -8565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -5*w + 41, -4*y + 75 = 59 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 21525*g + 107630. Determine v(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 2:01 PM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 33591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3768, 3775, 3792, 3825, 3880, 3963?\n\"Answer: v**3 - v**2 + 3*v + 3765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 40 = d, 5*q + 17 = 3*d - 33. Let z(k) be the first derivative of -k**4\/4 - 7*k**3\/3 - 3*k - 4. Give z(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53175 divided by -25.\nAnswer: 2127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 35\/6 + 15\/90. Suppose 3*z - y*z = -12. Let j(i) = 3*i**2 + 2*i + 3. Is j(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - i**2 - i + 19. Let y be o(0). Suppose -40 = 15*q - y*q. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 - m**2 + 0*m**2)*(3*m**3 - 2*m**2 + 2*m**2) - 24*m**5 + 38*m**5 + 3*m**5 + (-m - 2*m + 5*m)*(m**4 + 2*m**4 - 4*m**4).\nAnswer: 9*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 9 (c) 1\/4 (d) -0.07 (e) -4 (f) 420 (g) 2\/9\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (9 - -4) - 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 3:15 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -112405 < -112405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (21\/(-6) - -3)*0. What is the closest to 1 in 6, a, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24*1.83.\nAnswer: -43.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x - 27*x + 65 = -42*n + 46*n - 11*x + 1, 2*x - 42 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/60 of a millennium in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -666, -1323, -1980, -2637?\nAnswer: -3294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/(-4)*(-6 + -94). Let j = f + 86. Let u = 55 + j. What is the remainder when 47 is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 17*b**2 + 4. Suppose 13*f - 133 - 88 = 0. Let g be v(f). Suppose -2*t - 3314 = -g*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.22 * -403752\nAnswer: -88825.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*p - 19*p - 12 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 3:39 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 30*o + 3\/2*o**3 + 0 - 27\/2*o**2 = 0.\nAnswer: 0, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((1 + sqrt(108) - sqrt(108)) + sqrt(147)*2)**2.\nAnswer: 28*sqrt(3) + 592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20112211000 + -1000012?\nAnswer: 20111210211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 8. Let v be (5\/q)\/((-1)\/(-2)). Solve -d - v = -4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 709311460 a multiple of 168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -68?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1026, 1027, 1028, 1029, 1030, 1031?\n\"Answer: t + 1025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 2 (c) 3\/11 (d) -0.4 (e) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 19437.\nAnswer: 58311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + 2)*(-3*k + 5*k - k).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m - 10 = -60. Suppose -2*p = -m*f + 970, 5*f - 3*p - 855 = 110. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - (-22)\/3)\/(2\/(-6)). Calculate the lowest common multiple of 6 and (-2)\/(4\/z) + 15 + -15.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5446 (base 9) to base 6\nAnswer: 30323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/sqrt(4)*3 + (sqrt(352) + sqrt(22))*-6 + sqrt(22))\/((sqrt(288) - sqrt(288)*-1) + sqrt(288) - -2*sqrt(8)\/sqrt(4)).\nAnswer: -13*sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -115\/296 - -1\/74. Sort -0.2, 4, x in descending order.\nAnswer: 4, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 - 4. Let w = 13 - 11. Let c be z(w). Solve -y + c = -2*j + 14, 0 = 3*y + j - 5 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 2*b - 6 = 0, -2*b = 8*o - 9*o - 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u - 8. Let p be (-1 + 4)\/(1\/1). Suppose -p*m - 5*y - 34 = 0, -5*m - 4*y - 25 - 10 = 0. Let k be (1 + 1 - m)\/1. Give j(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37632, -2, 3 in descending order.\nAnswer: 37632, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 891318?\nAnswer: 2, 3, 149, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -d + 1, 2*l - 6 = -0*d + 2*d. Let b = d + 5. Is 3 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1480183 greater than 1480218?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 67ca - 0?\nAnswer: 67ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -7*m**2 - 2*m + 25. Let v(n) = -n**2 - n + 1. Give f(c) - 3*v(c).\nAnswer: -4*c**2 + c + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**2 + 59*n + 442. Determine v(-9).\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 23\/(-2)*(15 + -1). Let d be (-174)\/(-36) - 5 - (19778\/132 - -10). Which is greater: u or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/68 and 75\/68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1099932 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -3. Let f = -20 + 17. What is the third biggest value in -4, f, n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50 and 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 99.1\nAnswer: 29.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3020599339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 7*t - 6. Let x be s(3). Suppose -3*v - x*v + 8*v = 0. Suppose v = g - 3*g + 8. Solve 0 = -o + 2, -2*n - 4*o = -8*o + g for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(((g*g**(-2)*g*g)\/g)\/g)*g\/(g*g**(-2)*g))**36 assuming g is positive.\nAnswer: g**108","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 10. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 2*i**2 + 9*i + 2. Let t be b(4). Let x be -6*3\/t + 2433. Round x to the nearest one hundred.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1619125 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9760.813 meters?\nAnswer: 9760813000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 40*z**3 + 10*z**2 - 10*z + 10. Let v(q) = 13*q**3 + 3*q**2 - 3*q + 3. Let i(y) = -y + 11. Let l be i(21). Give l*v(d) + 3*p(d).\nAnswer: -10*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (0 + (-1 + -1 - 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + f**2 + 32*f + 68. Determine g(-3).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -28 - 4 + 1 + w**2 + 6 in the form p*w + y*w**2 + r and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-3))\/((-5643)\/(-810) + -7). Let k(b) = -10*b - 91. Calculate k(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-652)\/24 - 63\/(-54) - (15 + -1)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 1 + 9. Differentiate -2 + x*y**2 + 0 - y**2 wrt y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -206472 + 206471. Let r(i) = 3*i**2 - 6*i + 5. Let j(y) = -y**2 + y - 1. Let s(x) = 5*j(x) + r(x). Give s(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/2*2718\/755.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(70) + (-1*sqrt(70) - sqrt(70))*6 + sqrt(70) + -5*1*sqrt(70))\/(sqrt(640) - (sqrt(640)*-2 + sqrt(640))*4).\nAnswer: -3*sqrt(7)\/8 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l*m*t**3 - 180*l*m*t**2 + 8*l*t**3 - 18*m*t**3 - 2*m*t wrt t?\nAnswer: 12*l*m + 48*l - 108*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1309 and -3799?\nAnswer: 4972891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1698, -14, -2, -49, 3.\nAnswer: -1698, -49, -14, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45\/28 + 87\/28. Which is the nearest to 0? (a) 2\/15 (b) -0.5 (c) s (d) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 7. Let n(a) = a**2 + a**w - 5*a**3 + a - a**2. Let b be n(-1). What is the closest to 0.1 in 0.1, b, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 2*f**3\/9 + 43894*f**2\/9 - 2815360*f\/9 + 15026176\/3 = 0.\nAnswer: -22011, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 25*c**2 + 2*c - 38. Calculate l(25).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 1073412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l - 23 - 22 = 0. Solve 0 = 6*s - 7*s - l for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 3:08 AM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173151 is divided by 5570.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -4*t + b - 5*b, -t = -5*b + 28. Let f = 99 + t. What is the greatest common divisor of f and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t - 4. Let v be i(-4). Suppose v = 4*h + 4. Let c(l) = 0*l - l + 0*l**2 + l**2 - l**3. Let x(d) = 5*d**3 - 6*d**2 + 6*d. Calculate h*x(b) - 6*c(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10464 divided by -4\nAnswer: -2616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*n + 63 = 30*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1521\/13102?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21404.\nAnswer: 2, 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -0.3, -2\/1299, -0.05?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -5. Which is the nearest to -0.2? (a) -3 (b) i (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -283*a - 1127. Let z be o(-4). Let g = 6 + -2. Suppose -g*k + u = -7*k - 94, 3*k = -z*u - 98. Which is smaller: -29 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1498596 is divided by 249765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 45531?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 3)*(0*w**2 + 2*w**2 - 3*w**2)*(235 - 4*w - 235)*(-4*w + 4*w - w) to the form m*w**3 + y*w**4 + r*w**2 + s*w + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+-0.18104\nAnswer: 0.21896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1 (b) -0.5 (c) -1\/33 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 72*z - 88 - 200. Let g(v) = 259 + v**2 - 259 - 2*v. What is g(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 5*j**3\/6 + 35*j**2\/6 + 35*j\/3 + 20\/3 = 0.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1607.062 millilitres in litres?\nAnswer: 1.607062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k + 18. Let r = 963 - 972. Calculate u(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 47, 80, 111, 140, 167, 192?\n\"Answer: -b**2 + 36*b + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 + -32. Solve -f = -v*f + 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*t + 37. Let i = -3.7 - -3.632. What is the third smallest value in t, i, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 4860?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 7. Let f(q) = -q**3 - 8*q**2 - 8*q - 5. Let j be f(m). Factor s**3 - 3*s + s**2 + s**4 - 2*s**2 + j*s.\nAnswer: s*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**3 - 81*u**2 - 24763*u + 1013607. Give m(41).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-82008)\/(-5695) + (-2)\/5?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-137808040)\/(-300) + 4\/(-30). Round q to the nearest ten thousand.\nAnswer: 460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 154 = -3*t - 2*o, -4*t = -o - 209. Suppose -5*g + 3*g = 2. Let a(x) = -12*x**3 - x. Let b be a(g). What is the highest common divisor of b and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 801, 803, 805, 807?\n\"Answer: 2*s + 799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/25)\/((-32)\/60)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*b + k, 3*k - 5*k = 0. Suppose 0 = h - a - 33, -4*h = -b*a - 116 - 19. What is the remainder when h is divided by 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a day in seconds?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88183251 divided by 123.\nAnswer: 716937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-6) + (-203)\/(-60). Let y = 13\/4 - k. Which is the smallest value? (a) y (b) -1 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*r**4 + 35*r**4 - 6 - 17*r**4)*(-2 + 3 + 0).\nAnswer: r**4 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.032202 rounded to four decimal places?\nAnswer: -0.0322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -55? (a) -5 (b) -1 (c) 2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (100\/(-40))\/((-2)\/4). Let o = x + 33. Calculate the lowest common multiple of 8 and o.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12943 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.416*2473537.\nAnswer: -1028991.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 - 11. Let o = u - 13.7. Let r = -214\/3 - -72. Which is the closest to -2? (a) -2\/15 (b) r (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8*-2321945\nAnswer: 18575560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 36.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*c + 28103 = 0, 2*r - 3*c - 49305 = 6956. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -211*m**9\/504 - 43*m**5\/6 + 19*m**2 - m. What is the third derivative of t(z) wrt z?\nAnswer: -25320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70, -73, -78, -85, -94, -105?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r**2 + 38*r + 21. Let p be -11 + 19 + (4 - 21). Let x be h(p). Calculate the highest common divisor of 8 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + (sqrt(272) - -1*(2 + sqrt(272))))*-1.\nAnswer: -12*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-9)\/30)\/(162\/(-72)). Which is the smallest value? (a) 16 (b) -2\/5 (c) -1\/6 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -135.46\nAnswer: 677.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 - 21 = -y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 - 3*c**2 + 2*c**2 + (2*c + c - c)*(-1 + 1 + 2*c))*(-4*c**3 + 31 - 31) + (1 + 1 - 1)*(-2*c**5 + c**3 - c**3).\nAnswer: -26*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 13*y**3 + 45*y**2 - 39*y - 65. Calculate d(-5).\nAnswer: -370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 7*i - 6. Let h be q(6). List the prime factors of (2 - -30) + h\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -62, -72, -98, -146, -222, -332, -482?\nAnswer: -678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9819, -39217, -88195, -156741, -244843, -352489?\nAnswer: -479667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*f - 2 = 50*f. Sort 3, f, -2 in ascending order.\nAnswer: -2, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/12 + (-13)\/(-6). Solve -2*b + b + 4 = 0, t*r = -b + 10 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 20071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {f: 3, n: 6, x: 3, v: 1, j: 6, i: 1}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 5*x**2 - 5*x - 6. Let v be -4 - -1 - 20\/(-4). Suppose v*s + 1 + 1 = -d, 24 = -2*d + s. Let g be d\/5 + 2 + 6. Determine o(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -17*n - 153. Let o be u(-9). Suppose -2*z - 21*z - 10*z = o. Solve z = 13*p - 8*p + 20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1357335*g**2*v**3 + 4698*g**2 + 148*v wrt v?\nAnswer: 8144010*g**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31\/66 + 1\/33. What is the third smallest value in x, -0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(1088)*3 + sqrt(85)\/(sqrt(45) - sqrt(5)).\nAnswer: 1 + 49*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 2*h = -10, 0 = a - 20*h + 19*h - 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 10) to base 4\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 13326 + 13316. Solve -m - 4*o = -2*o + 5, o - v = -2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 92.74095l?\nAnswer: 92740.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 4*h - 1. Let f be o(-3). Let c(n) = 8*n + 2*n - 2*n + 3*n**f + 2*n + 21. What are the prime factors of c(-6)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8847 + 17197. Let j be b\/(-95) + (-8)\/76. Is (j\/24)\/((-2)\/12) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-300)\/(-9) + -5 - 10\/(-15). Solve 21 = -10*a - x for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1742958.22 to the nearest 1000.\nAnswer: 1743000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 412236401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.17 - -3.86. Let t = -0.31 - z. Let q = 42 + -38. What is the biggest value in q, t, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -3*u**2 - 44*u + 10. Let y be l(-8). Solve -y*f = f + 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 162451723?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, j: 3, l: 5}. Give prob of sequence uujj.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 6 + -3 + -1. Is t greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 764300 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, w: 3, l: 6, t: 2, u: 2, y: 2}. What is prob of picking 1 t, 1 y, and 1 w?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.276 and 4.\nAnswer: -1.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30373382 to the nearest integer?\nAnswer: 5511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/9)\/(x*x**(1\/2)))\/(((x\/x**(-1))\/x)\/x**(3\/7)))\/((x\/x**6*x*x\/x**(1\/8))\/((x\/(x\/((x*x\/((x**(-7)\/x)\/x)*x*x)\/x)))\/x**8)) assuming x is positive.\nAnswer: x**(2603\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 40?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 4414?\nAnswer: -4421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11910331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s + 7. Let j be 12*(-3 + (-4)\/(-2)). Let k be 2*(-15)\/j*2. Let o be b(k). Which is smaller: 4 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**17\/((b\/(b*b*b**1*b*b*b))\/b))\/(b\/(b*b**(1\/9)*b)*b)**(-2\/91) assuming b is positive.\nAnswer: b**(18835\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -11, 3, -0.399?\nAnswer: -0.399","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 14 + 36. Let q be 6 - 15\/p*(-1 + 3). Let r(m) = 2*m**2 + 4*m. Is 10 a factor of r(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5940171637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 - -67. Let k = p - 16. Let w be k\/10 + 6\/40. Which is the third smallest value? (a) 0.02 (b) 3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3644.6 + -3645. What is the smallest value in 200, 5, r, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*p + 2*v = -30*p + 4, 2*p - v - 4 = 0. Solve 53*m - 54*m = p for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18065963?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 620 and 28?\nAnswer: 4340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4655691 to the nearest integer?\nAnswer: 2158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 - 6 - (6 + 0 - (6 + 1)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 5. Suppose d + u*o = -3 + 4, -5*d + 4*o = -19. Put 2, d, 1 in descending order.\nAnswer: d, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**3 + 11*m**2 + 12*m - 13. Let u be d(-7). Let n = u + 256. What is the smallest common multiple of n and 40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/3239 and -65\/369.\nAnswer: 29151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(5) - (4 + sqrt(15)\/sqrt(3))) + -4)*3 - ((sqrt(5) + 1 + sqrt(5)*-1 - sqrt(5)) + -2 + sqrt(5)*-1 - (6*1*sqrt(605))**2).\nAnswer: 2*sqrt(5) + 21748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 12*r + 10. Suppose 2211*i - 168 = 2190*i. What is the remainder when b(-7) is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}