diff --git "a/data/dm_maths/full_data_2/10313_11255.jsonl" "b/data/dm_maths/full_data_2/10313_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10313_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let q = 588.45 + -573. What is q rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301 = -k - 42*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2221 is divided by 2196.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*f - 10*f + 10*f + 12*f as s*f + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**2 - 288*x + 5376 = 0.\nAnswer: -112, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5128023?\nAnswer: 3, 1709341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -3*x - 4*u, -x - 3*x + 123 = 3*u. Suppose r = x*r - 64. Let l = 13\/11 + -95\/99. Put l, 1, r in descending order.\nAnswer: r, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 5*i**2 - 7*i + 7. Let b(o) = -4*o**2 + 8*o - 6. Let m(q) = -6*b(q) - 5*k(q). List the prime factors of m(-11).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express g + g - 12*g**2 + 2*g**2 in the form t + n*g + s*g**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2263.734 kilometers in micrometers?\nAnswer: 2263734000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3886699 is divided by 88334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19\/158 - 211183\/790. Let c = k - -268. Sort -1\/6, 2\/9, c.\nAnswer: -1\/6, 2\/9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 + -30. Let c be 0 + -1 + (-6)\/u. Suppose -2*p + 0 = -4. Solve -p*s + 1 = -c for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 27\/(-2 - -11) + 7250. Suppose 5*u - 3*l = t, -u = 2*l + 2*l - 1446. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1114 - 654. Let y = m + -1198. Find the common denominator of -34\/11 and y\/(-30) + 4\/10.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, b: 7, a: 7}. What is prob of picking 2 a and 1 b?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1206, 1164, 1088, 972, 810, 596?\nAnswer: 324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.091583 millilitres?\nAnswer: 0.008091583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*i**2\/11 + 18*i\/11 + 4\/11.\nAnswer: 2*(i + 2)*(4*i + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 121 - 205. What is the common denominator of 38\/h - 3\/18*-4 and 9\/12*(-50)\/18?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6543 * 0.09381\nAnswer: -613.79883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 201.32994 to zero decimal places.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32994, 32902, 32794, 32664, 32506, 32314, 32082?\nAnswer: 31804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 863 a factor of 41720009?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -7*a + 1. Let p(s) = -s. Calculate 6*p(i) - v(i).\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of 3*c**7\/70 - 3*c**4\/8 + 4*c**2 + 8*c. Let n(w) be the first derivative of t(w). What is the second derivative of n(f) wrt f?\nAnswer: 108*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -2.001.\nAnswer: 10.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*o**2 - 4*o**2 + 0*o**2)*(-22*o**3 + 32*o**3 + 68*o**3).\nAnswer: 312*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1781382?\nAnswer: 2, 3, 337, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 27*j + 126. Determine o(9).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -960 times 6\nAnswer: -5760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 3327546965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10a7 + 209101?\nAnswer: 20a1a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 10*d**2 + 10*d + 18. Let o be z(-9). Let f(x) = 2*x - 24. Let i be f(13). Let q(t) = t**i - 39*t - 8 - 31*t + 62*t. Give q(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 129384521?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-390)*8*1\/((-2)\/(-5)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -136910 + 237979. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 644 + 1625 + 14357 = -480*v - 9*v for v.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 272 and 170.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/19504 and 13\/4.\nAnswer: 19504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -618 = -6*c + 96. What is the greatest common factor of c and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2. Let d(o) be the second derivative of -o**5\/24 - 5*o**3\/3 + 20*o. Let m(u) be the second derivative of d(u). Determine m(h(s)).\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 5*q - 1. Suppose 125*o - 121*o - 2*z = 22, 4*z - 44 = -3*o. Calculate y(o).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*b)*(-3 - 2*b**2 + 3) + 146*b - 231*b**2 - 149*b - 98*b**3 + 96*b**3.\nAnswer: -6*b**3 - 231*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26385*a + 26399*a - 978572. What is the thousands digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/2352486 and -73\/102282.\nAnswer: 2352486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by (-321)\/(-11) - 0 - (-244)\/(-1342).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(76) + (1 + sqrt(19))*-2.\nAnswer: -4*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 8:17 PM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/17508)\/((-2392)\/276). Let t = h + 2010589\/6600516. Calculate the common denominator of t and -76\/21.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -0.09, 3\/55, 140, -4, -3 in ascending order.\nAnswer: -4, -3, -0.09, 3\/55, 2\/5, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 142, -3, -5, -1941?\nAnswer: -1941","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(-20) + (-42)\/(-8). Suppose 5*j - y = -5*v, 0*v + 2 = 2*j - 4*v. Let c = 0.2 + -0.3. Does c = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -295 - -309. Suppose -43860 = -29*o - t*o. What are the prime factors of o?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*b + 43*b = -1200. Does 24 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 21, 33, 71, 147, 273?\n\"Answer: 2*r**3 + r**2 - 5*r + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide (6 - -2)*(-616)\/(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1776087512*u - 714879512*u - u**4 + 2222*u**3 + 838*u**3 - 3121200*u**2.\nAnswer: -u*(u - 1020)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25976834441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2008918 divided by 48998?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 13*r + 44. Calculate l(-18).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.04592 micrometers in millimeters?\nAnswer: 0.04304592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54 + 111 - 59 + i to the form z*i + u and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 388 + -379. Factor 15*h**3 - 21*h - 22*h**3 - 29*h + u*h**3 + 250 - 7*h**2 - 3*h**2.\nAnswer: 2*(h - 5)**2*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-21))\/(1\/90*5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 434791?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/11 + 11172*q**2\/11 + 20802264*q\/11 + 12911271856\/11.\nAnswer: 2*(q + 1862)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*f**4 + 24*f**4 + 7*f**4)*(-5 + 11 + 4).\nAnswer: 220*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30750457 is divided by 2020?\nAnswer: 2017","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(6)\/sqrt(3)*4*4)**2 + 5.\nAnswer: 8197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3*g + 3)*(g - 2 + 2) + (-g + g + g)*(-3 + 2 + g + g) - 1820*g**2 + 1798*g**2 - 3 + 1.\nAnswer: -23*g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 619, -3, -383742 in increasing order.\nAnswer: -383742, -3, 619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -194 minus 4476?\nAnswer: -4670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -11*g - 4. Let j(d) = 13*d + 5. Let m(v) = -5*j(v) - 6*n(v). What is m(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (43*(-75)\/(-9675))\/((-2)\/(-228))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 = -5*m + 4*i - 111, 4*m + 64 = -4*i for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = 13*q + 136 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 410790 is divided by 5627?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 7*c**2 + 7*c - 4. Let q be s(1). Put 4, 3, q in descending order.\nAnswer: q, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from hhehhhhhhhhhh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 251\/55 - 48\/11. Let b(x) = 2*x - 2. Let f be b(2). Suppose 0*o = 5*o + 15, 18 = 3*w - f*o. What is the closest to h in w, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11794?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-1*sqrt(280)\/sqrt(360))\/(sqrt(64)*-3 + 1*sqrt(484)))*3.\nAnswer: -12 + sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 1:56 AM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31387037 + -0.1.\nAnswer: 31387036.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + sqrt(125)) + (-1*sqrt(125))**2 + 5 + ((2 + sqrt(125))*6)**2 + 1*(sqrt(125) - sqrt(125)*3)**2 + -4.\nAnswer: 730*sqrt(5) + 5276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -340, -342, -344, -346, -348, -350?\n\"Answer: -2*x - 338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -4627000 to the nearest 100000.\nAnswer: -4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 45 = 4*s, 2*s - 18 = 2*w + 12. Let k be -2*2\/18 + 174\/54. Which is greater: k or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*o + 4*o + 0*o)*(o**3 - 3*o**3 - o**3) - o**2 + o**4 - o**2 + 0*o**3 + 2*o**3.\nAnswer: 49*o**4 + 2*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p**3 - p**2 - p - 6. What is r(-2)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -11*h - 7. Let l be c(0). Put l, -4, 2 in increasing order.\nAnswer: l, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 7:37 PM?\nAnswer: 509","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let u be 22\/(-18) - 4\/(-18). Let g(t) = 35*t**3 - 3*t + 2. Let k(h) = -18*h**3 + h - 1. Let a(w) = -2*g(w) - 5*k(w). What is a(u)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-1 - 10\/(-8)). Suppose 20 = -5*m + 10*m, -5*m = -4*g - 4. What is the greatest common factor of h and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of 0*k + 0*k**6 - 1\/60*k**5 + 0 + 0*k**3 - 3*k**2 - 1\/112*k**8 + 0*k**7 + 0*k**4. Find the third derivative of r(w) wrt w.\nAnswer: -180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.029696l?\nAnswer: 1029.696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*n - 14 + 8 - 15 + 16*n + 21.\nAnswer: 47*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12731*f + 13519*f = -30732 for f.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 7.1. Let b = -2.39 - -0.29. Let d = b - k. Sort 3, 1, d in descending order.\nAnswer: d, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13.6 - -10.56. Let d = -38.56 + u. What is d rounded to 0 decimal places?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 + 26 = -11*w, 35*w - 38*w + 1 = -4*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 10 = 4*r + r, -2*r + 17 = 5*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 - 3486*b**2 + 1009188*b + 2032344.\nAnswer: 3*(b - 582)**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 5. Suppose -5*f + 70 = q*z, -2*f - 77 = -5*z - 3*f. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5163.344 rounded to the nearest integer?\nAnswer: 5163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -7. Suppose 4*u + 2*p = 0, -5*u - 4*p + 3 = -0. Let z = b - u. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7054 - 12086. Let a = -3231 - m. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 57100691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 136, 2.\nAnswer: -0.3, 2, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/(sqrt(12)\/sqrt(3)) - -5*-1*sqrt(20))\/(-1*(sqrt(64) - (sqrt(64) - sqrt(64)*-1))).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*y + 19*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2031 divided by -36591?\nAnswer: 677\/12197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27175 + -28880.38. Round q to the nearest ten.\nAnswer: -1710","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 - 30. Solve 3*g - 5 = -q for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 6:49 AM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u*u**(-1\/9)\/u)\/u*u)\/u*u**(-4\/27)\/u*u)\/(u**(-20)\/u)**38 assuming u is positive.\nAnswer: u**(21539\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**2. Let w = 13 + -11. Let g(m) = 3*m**w + 4*m**2 + 5*m**2 - 5*m**2. Give g(b(j)).\nAnswer: 28*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-2*sqrt(1700) - sqrt(1700) - 4*(sqrt(1700) + 0))*-2*-5 + -3 + -4)**2*-3.\nAnswer: -24990147 + 29400*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 47135, 94267, 141399, 188531, 235663, 282795?\n\"Answer: 47132*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 31*o + 96. What is u(0)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -23 + 2 + 36?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -1102, 707\/2?\nAnswer: 707\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32870 - 32874. Put o, 0, 4, 636 in decreasing order.\nAnswer: 636, 4, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4503924 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 o be 4\/(-26) + (203024\/(-52))\/(-2). Let l be ((-3)\/(-2))\/((-24)\/o) - -2. Let m be -22*13\/((-3)\/l*4). What is m rounded to the nearest one hundred?\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q - 1. Let n be p(0). Calculate the remainder when 8*((-18)\/(-63) - 444\/(-112)) is divided by 7 - (n + 0 - 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*x. Suppose 0 = 4*k - j - 184, 4*k - 4*j - 133 - 51 = x. List the prime factors of k.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53328*f + 2744*f**5 + 15*f**2 - 53491*f - 17*f**2 wrt f.\nAnswer: 164640*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -9*t**2 - 6*t + 4. Let d be w(5). Let u be d*2*3\/(-66). Let s = -23 + u. Which is the third smallest value? (a) 0.1 (b) -1\/2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2. Let b(n) = -403*n - 10. Let f(v) = 2*v + 2. Let w(t) = -b(t) - 5*f(t). Determine w(s(g)).\nAnswer: -393*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/7 + 2550*n\/7 + 5108\/7.\nAnswer: -2*(n - 1277)*(n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 991 is divided by 192.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -2.9. Let c be ((-2)\/(-3))\/(4\/18). Suppose -8 = -x + c*x. What is the closest to 0.1 in x, v, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21038, -84122, -189256, -336440, -525674, -756958?\nAnswer: -1030292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3049 - -3059. Let u(z) = 3*z - 19. Give u(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3872 and 100256.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 16 - 6 + 34*h.\nAnswer: 34*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 92 and 222.\nAnswer: 10212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 4:35 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 3*c**2 - 4. Let z = -15 - -12. Let b be q(z). Is -5 at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kfjknep. Give prob of picking 1 f and 1 j.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-5936)*-53 + 0 + (-11)\/28?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 439422149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-5)\/1)*0\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 299033669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 165 = 4*m. Let y = -331\/6 - m. Let p = -0.05 + 0.45. What is the third smallest value in p, 2\/3, y?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*h - 54 = -25*h + 18*a, -2*a = -4*h - 1 + 7 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 55*q**2 + 111*q + 171. Let p be k(57). Sort -77, p, -3, -2, -1.\nAnswer: -77, -3, -2, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11401679*f**4 - 23*f**2 + 2*f + 2555 wrt f.\nAnswer: 273640296*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 21\/(-3) + 7735\/85. Solve -7*u + o = 77 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7978*m - 7975*m - 3*m**3 + 6*m**3)*((3 - 3 - 2*m)*(-5 + 3 + 4) + 0*m - m + 3*m - m + m - m).\nAnswer: -9*m**4 - 9*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27702 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -6*j**3 + 10*j**3 - 5*j**2 - 6*j + 10*j + 2. Is m(3) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 214059889 and 130679.\nAnswer: 7687","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(11\/(-44))\/(1\/3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3406 and 18?\nAnswer: 30654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3325 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 65500 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -874*g - 43 - 39 + 126 - 44.\nAnswer: -874*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + 4. Suppose -20*r = -o*r. Suppose 0 = -5*t - 25, 0 = 3*h - 3*t - r*t - 168. List the prime factors of h.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 + (-3 - -18) - -9) + 9?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 155 (base 14) to base 15\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2*x**2 - 2 + 56334*x**3 - 56327*x**3.\nAnswer: 7*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.0782 times -1\nAnswer: -0.0782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 2) in base 15?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/12 and 65\/318?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20617728787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -346205, -1384819, -3115841, -5539271, -8655109, -12463355, -16964009?\n\"Answer: -346204*j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-442.\nAnswer: 1326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 19.3. What is the closest to -0.1 in h, -1\/4, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, 2, 0.5, -18, -47, 62 in decreasing order.\nAnswer: 62, 2, 0.5, 1\/10, -18, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -29. Let q = l - 25.5. Which is the biggest value? (a) -2\/17 (b) -9 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1956 and 4890.\nAnswer: 9780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -5223?\nAnswer: -5232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14965311, -29930619, -44895927, -59861235, -74826543, -89791851?\n\"Answer: -14965308*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.19436*1191.\nAnswer: -231.48276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = -15 + 33. Suppose -4*r - 6 = -7*g, 0 = 7*g - 5*g - 3*r + h. Solve -4*x + u + 16 = 2*u, g*x - u - 2 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43501204 - -1392360081\/32. Let n = u + -10051. What is the common denominator of n and 11\/6?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/148?\nAnswer: -3\/148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 5:13 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 205918*d**2 - 1120077*d + 1?\nAnswer: 411836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -247 + 255.28. Let k = a + 1.02. Let p = -9.79 + k. What is p rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 - 90226*v - 2035182769.\nAnswer: -(v + 45113)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1749.942 - 1750. Are n and 5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 126315082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-1) + (-360)\/(-280)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 61*t - 257. What is q(3)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42171*u**2 + 42171*u**2 - u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 1\/121921318?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -841655 divided by -7.\nAnswer: 841655\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -528\/35 greater than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*a + 70 = 51*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 1:57 AM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 12*o**2 + o - 5. Let f(x) = 3*x**3 + 36*x**2 - 3*x + 15. Let u(v) = -2*f(v) - 7*l(v). What is the remainder when 47 is divided by u(-12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3297 or -3312?\nAnswer: -3297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 243, 962, 2153, 3810, 5927, 8498, 11517, 14978?\nAnswer: 18875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 760098.8 days?\nAnswer: 65672536320000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*f = 46*f + 45. Suppose 990 = f*j - 432. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4975866 a multiple of 207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -170, -398, -728, -1166, -1718, -2390?\nAnswer: -3188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p. Let b(k) = 17*k - 79. Let h(w) = -6*w + 29. Let f(q) = -4*b(q) - 11*h(q). Determine m(f(d)).\nAnswer: -6*d - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/(-3)*18\/4. Suppose -5*z + 0 = 20. Let l(w) = -2*w + 4. Let j be l(z). Calculate the greatest common divisor of q and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*s - 23. Let z(h) = -41*h**2 - h - 41*h**2 + 77*h**2. What is z(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -99, -200, -339, -516, -731?\nAnswer: -984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 3*q + 5*b, b = -3*q - 13 + 15 - 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (20 + 4)) + 74 + -36?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23862 and 738.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5*s**2 + s. Let u be j(1). Solve 99*v**3 - u + 51*v**4 - 7*v**5 + 69*v**2 + 16*v**5 - 6 = 0.\nAnswer: -2, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - 1. Let f be (5 - 328\/56)\/(27\/(-63)). Sort v, f, -63.\nAnswer: -63, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 1 = -0, -z = 4*v + 239. Let n be (-1)\/(-5) - (-52)\/v. Let w be (1\/(-5))\/((-4)\/(-5)). What is the nearest to n in 3, w, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 (base 12) in base 11?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46285?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1809 - 521 - 160 - t + 524.\nAnswer: -t - 1966","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 473 and 731.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 3*v = -6. Calculate the least common multiple of 2 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -6 + 3*r + 10 - 4. Let v(f) = -7*f + 5. Let y(g) = 4*g - 3. Let h(n) = -3*v(n) - 5*y(n). Calculate k(h(z)).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 3968 + 252. What is s rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n**3 - 2*n**3 - 5*n**3.\nAnswer: -15*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 - 267442580*z + 8940691699632050.\nAnswer: 2*(z - 66860645)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1ec3 + -19?\nAnswer: 1ea9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.24192491 rounded to one decimal place?\nAnswer: -14.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1011 + 1011 - 17*g**2)*(-5*g**3 + 3*g**3 + g**3 + (-g - 1 + 1)*(-2 + 2 + g**2) + 1160*g**2 - 1160*g**2 + 11*g**3).\nAnswer: -153*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5281450 divided by -3?\nAnswer: -5281450\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -5*w**4\/12 + 83*w. Let b(a) = -138*a**2 - 2*a. What is b(k(z))?\nAnswer: -3450*z**4 + 10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1*76\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + 5)**2 - sqrt(30)\/sqrt(6)*-4.\nAnswer: 70 + 34*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 281279*g**2 - 3*g + 14124.\nAnswer: 562558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 1 in descending order.\nAnswer: 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(2240)*-1)\/sqrt(5) + 0)**2.\nAnswer: 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79859630?\nAnswer: 2, 5, 1613, 4951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -153*n**2 - 1\/120*n**6 + 0*n + 1\/15*n**5 + 0 + 1\/12*n**4 - 7\/6*n**3. What is d(5)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.6 - -0.4. Let b = -3.9 + 4. Let h = 0.1 + b. Which is bigger: h or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-4*25\/50?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-11))**(1\/33)*t**(-26\/3)*t*t**31\/t*t)**(-37) assuming t is positive.\nAnswer: t**(-851)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126670 is divided by 348.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5291 divided by -11\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6990 is divided by 408.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 80\/(-15)*15\/(-4). Suppose 5*k = -5*s + c, 12 = 2*s - k + 2*k. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**2\/9 + 18509830*n\/3 + 55529488\/9 = 0?\nAnswer: -27764744, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-4)\/(-26) + (-2856)\/(-364) and 282?\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37154?\nAnswer: 2, 13, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, b: 1, k: 6, f: 1}. What is prob of sequence fzk?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8980062 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -313164 - 9.\nAnswer: -313173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 7*y**2 - y + 2. Let o be w(7). Let l(x) = -32*x**2 + 148*x - 308. Let i(z) = -13*z**2 + 59*z - 123. Let b(q) = o*l(q) + 12*i(q). Factor b(t).\nAnswer: 4*(t - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 709922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 137532 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**5 - r**4 - r**3 - r + 1. Let j(v) = 57*v**5 + 6*v**4 + 6*v**3 + 2*v - 6. Let w(q) = 6*i(q) + j(q). What is the second derivative of w(l) wrt l?\nAnswer: 1260*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -410 divided by 1\nAnswer: -410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aart. Give prob of picking 1 r and 1 a.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 148560\nAnswer: 74280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -1.4\nAnswer: -4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in 5, 2, -0.5, -0.249, 0.5?\nAnswer: -0.249","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -104 + 109. Suppose 3 = -1739*m + 1736*m. Which is the closest to -1? (a) m (b) d (c) -0.32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 365 (base 7) to base 8.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*u + 604663 = -63945. What is the thousands digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50284 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-4887)\/216 + 20).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1110000111110011 (base 2) to base 10\nAnswer: -57843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/3 + (-1260)\/378.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 361 and 1223374489?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 7*x**2 - 2. Let w be 2*2*(-8)\/16. Let a(y) = -168*y**2 + 49. Let i(h) = w*a(h) - 49*j(h). Let t(b) = -2*b. Determine i(t(c)).\nAnswer: -28*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7293 - -0.11.\nAnswer: 7293.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - 78)\/(6\/4). Let n = -161\/3 - y. What is the biggest value in -4, -0.2, n, 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -287.12 + 283.72002. Let m = -3.4 - q. Round m to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 3 + 0)*(-4 + 3 + 0) - 1 + 6 - 2)*(-3*o + 5*o - 4*o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2508 and 836.\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000063248146 to 6 decimal places.\nAnswer: 0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 2*t - 380. Determine z(17).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6524 - 6460. Solve -2*q = 5*t + 5, -3*t + 65*q = j*q + 14 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - -7*(2 + -1). Let z be ((-1 - -3)\/2)\/((-1)\/(-5)). Factor 2*n + o*n**2 - n**4 - n**3 - n**5 - n**3 + z*n**3 + 0*n**3.\nAnswer: -n*(n - 2)*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -71\/43 + -2\/129. Let z = -24\/47 - -167\/235. Which is the second smallest value? (a) 3 (b) -5 (c) z (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3352 (base 14) to base 10\nAnswer: -8892","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 12081, 24149, 36217?\n\"Answer: 12068*w + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1080 and 33084?\nAnswer: 992520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45050411177\/880376 - -113120\/15721. Let v = -51166 - k. What is the common denominator of 83\/18 and v?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 15 + 9 + 0*c**3 + 3*c**3.\nAnswer: 3*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 103, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 24, 13\/3, -20, -5, -0.11 in increasing order.\nAnswer: -20, -5, -0.11, 0, 13\/3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 9:29 AM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.376 + -0.024. Which is the nearest to -1? (a) 0.1 (b) g (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*t = -1301, 9*r - 4*t = 7*r + 878. Is r greater than 435?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10124242.600226 + 10124224. Let j = -18.6 - x. Round j to 5 dps.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 not equal to 18\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 0 + 0 - a + 9 - 2. Let t be i(3). Solve 0 = -0*v + v - t for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/3 - 1\/3*t**2 - 1\/3*t = 0. Calculate t.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*p - 3*p = 10 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, f: 11, m: 2}. Give prob of picking 3 y.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-2)*(-16)\/10. Suppose -5*w - 4*c + 16 = 0, d*w + 5*c = c + 12. Suppose -w*v = 5*l - 48, -3*v + 40 = 4*l + v. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and 1.329.\nAnswer: 0.829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 46222 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.94734 decades in months?\nAnswer: 473.6808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -p**5\/60 - 5*p**4\/24 - p**3\/6 + 34*p**2. Let w be l(-7). Which is smaller: w or -8?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 - 10. Let x = -21 + q. Put 0, x, 12 in descending order.\nAnswer: 12, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3520 and 3068160?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/384027 and -115\/42.\nAnswer: 768054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 0*v - 3*v = -33, -48*s + 53*s - 145 = -50*v for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -105758, 0.7, -6\/17?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + r + 1. Let s(m) = -29*m**2 - 21*m. Let g(v) = -9*v**2 - 10*v - 1. Let j(z) = -5*g(z) + 2*s(z). Calculate -5*i(d) + j(d).\nAnswer: -8*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1 + -4*(-4 + sqrt(14)\/(-2*sqrt(7)*-2)*-3 + 2))**2.\nAnswer: 54*sqrt(2) + 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwrwririecrrwr. Give prob of sequence rwwi.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -6*m + 27 - 45 + 21. Let k(x) = 4*x - 2. Calculate 8*k(p) + 5*n(p).\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 433296\/(-16992)*(-4)\/51. Let 11\/5 + 1\/5*b**k + 12\/5*b = 0. Calculate b.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2633*h - 59 + 2657*h + 199)*(-2*h**3 + h**3 + 2*h**3).\nAnswer: 24*h**4 + 140*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 3\/5, 20, -2 in descending order.\nAnswer: 20, 3\/5, -2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 719292.6338 to the nearest one hundred.\nAnswer: 719300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8113, -16183, -24253?\n\"Answer: -8070*d - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15*z - 17*z - 24*z)*(-22 + 22 - 25*z) - 2*z**2 + 6*z**2 - 3*z**2 + 2*z**2 + 2*z**2 - 7*z**2 to the form d + u*z + g*z**2 and give g.\nAnswer: 648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b + 5. Let v(k) = 1. Determine j(t) - 6*v(t).\nAnswer: -3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 33628095 divided by 33628095?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 4:45 AM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 506 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -418 = -8*l - 114. Is 19 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5214922 or 0.5?\nAnswer: -5214922","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 - -41. Let q = 18 - j. Solve v - s = 4*s - 13, 0 = -2*v - q*s for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83274?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 5*w + 959. Is c(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 + 27\/6 - -2. What is the biggest value in 0.9, j, 0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1510453 and 17969?\nAnswer: 1057","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a meter in millimeters?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 12*y**2 - 13*y - 14. Determine s(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 less than or equal to 588831099?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - 3*h + h)*(4*h**3 + 0*h**3 - 2*h**3) - 20*h**3 + 15*h**4 + 65*h**4 + 18*h**3.\nAnswer: 84*h**4 - 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r - 2*r + 6 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -0.006828?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 161*x + 42. Let u be m(4). Suppose u = 10*g - 644. Calculate the greatest common divisor of g and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 3207076.\nAnswer: -6414152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/21 in 2, -0.4, 4, 14?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3650 and 511.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-3))\/b*b\/((b*(b**(-2\/9)*b)\/b)\/b)*((b**(-2\/5)\/b)\/b)**2)**(-2\/17) assuming b is positive.\nAnswer: b**(52\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*((-75)\/6)\/(-5). Suppose -4*r + 6 = -r. Suppose j*w + 3*q - 297 = w, -3*q = r*w - 153. Round w to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 3 = -10*g. Let z(s) = -10*s + 13. Let k be z(g). Suppose -n - 7 = -2*t - t, 0 = k*n + 12. Do 11\/6 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 760 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: Suppose -3*h = 6*h - 234. Let a = h - 23. Solve a*q = -0*q + 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -7*o**3 + 142*o**2 + 20*o - 27. What are the prime factors of x(18)?\nAnswer: 3, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -140410243 + 16?\nAnswer: -140410224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a meter in centimeters?\nAnswer: 1075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-99*s**3 + 16*s**3 + 9*s**3 + (s + 1 - 1)*(5*s**2 - 2*s**2 - 5*s**2))*(-3*s - s + 5*s) in the form p*s + d*s**3 + o*s**2 + n*s**4 + l and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/15 (b) -1\/5 (c) -25.7 (d) -5 (e) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 727*o - 808*o + 729 = 0 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*d - 12. Let x = 5 - 4. Let y = x - d. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -6. Let r(u) = -6*u**3 - 9*u**2 + 2*u - 4. Let m(i) = 5*i**3 + 8*i**2 - i + 4. Let k(g) = 5*m(g) + 4*r(g). What is the units digit of k(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**4 - 304*k**3 - 1604*k**2 - 1296*k = 0. What is k?\nAnswer: -4, -1, 0, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 123471983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 369396, 738792, 1108188, 1477584, 1846980?\n\"Answer: 369396*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, 2, -646, 0.29?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 293 - 293.1. Let z = 4.9 + 0.1. What is the third smallest value in v, z, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*1*89\/((-2403)\/(-198))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 2:50 PM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 102187327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.60006ml in litres?\nAnswer: 0.02160006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 319870791?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1138*z + 1141*z = -5*g - 7, 17 = -4*z + g for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9320822403 and 39.34.\nAnswer: -9320822363.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 286\/1001 - 52\/(-14). Suppose 3*j + 4 = -j. Let b(n) = 2*n**2 - 3*n - 5. Let o(l) = l**2 + l - 1. Let x(m) = j*b(m) + o(m). Give x(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 547 is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aall when four letters picked without replacement from llllllallllll.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 25*d - 135 = 0, -4*f + 3102*d - 3103*d + 14 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -28, 2\/3, 0.16?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 26 = -5*f, -f - 2*p + 6 = 2*f. Suppose 2*j + 32 = f*j. What is the remainder when j is divided by -6*(-2)\/(2\/1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2. Let b(g) = 5*g - 470. What is b(y(h))?\nAnswer: 10*h**2 - 470","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 + 112 = 4*v. Suppose 43 - v = -5*y. Let i = 3 + 3. Solve k + i = y*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 188482356 by 47120589.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3403035\/11 + 309723. Let l = y - 356. Which is the second biggest value? (a) 290 (b) 2\/7 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 2*g = -720. Let y = 475 - g. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (505 - 505 + 67*x**3)*(171*x - 161*x + 110*x)*(0*x + x - 4*x).\nAnswer: -24120*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -7\/3, -1, 2, 0.13, -2\/9 in decreasing order.\nAnswer: 2, 0.13, 0, -2\/9, -1, -7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*d - 69*d - 5*d)*(2*d + 3 - 3).\nAnswer: -196*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((1558986\/2528)\/143)\/(((-15)\/(-4))\/(-5))\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 188\/96538*104\/8\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -6394 - -6475. Calculate the greatest common factor of 18 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1833)\/(-470))\/(-39))\/(2\/(-510)*-3).\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1365237238.980593 - 1365239763. Let g = -2416.01948 - b. Let w = g - 108. Round w to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 p when two letters picked without replacement from {u: 5, p: 11}.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 3*d**2 + 5*d + 8. Let n(z) = 2*z**3 + 4*z**2 - 9*z - 15. Let f(h) = 3*n(h) + 5*v(h). Give f(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3*(1\/1)\/((-96)\/896).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 8 + 4 + 5. Let h be a(0). Let g = h - -3. Calculate the remainder when g is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -0.3 (c) -0.01 (d) 11\/20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000077960174 rounded to seven decimal places?\nAnswer: 0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 48.9 and 4.\nAnswer: 195.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25070, 25062, 25048, 25028, 25002, 24970, 24932?\nAnswer: 24888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 7 = 2*t, 11 = 2*t + 7*x - 2*x. Suppose 0 = t*s - 13266015 - 2933985. What is s rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = r + 2109, 2*f - 1579 = -f - 2*r. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1826 - 0.2826. Let b be 1\/4 + (-9)\/36. Sort h, 2, b, -0.3 in descending order.\nAnswer: 2, b, h, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 2*q + 4*q)*(2*q - 3*q + 0*q) + 1302 + 118*q**2 - 1302.\nAnswer: 114*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*o = -2, -2*j + 3*o - 4 = -2. Find the third derivative of 0*q**j + 5*q - 5*q**4 - 5*q - 5*q**2 wrt q.\nAnswer: -120*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 6 - s - s.\nAnswer: -2*s - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*b**3 + 31*b**3 - 82*b**3.\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 + (-69612)\/(-17410))*5. Let u = -116479\/20892 + b. What is the common denominator of -17\/4 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/9 (b) -0.2 (c) 25 (d) 3 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*y + 88 = -6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -139.7 - -141.7. Which is the third smallest value? (a) -2.59 (b) k (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssussgsssskkgkssk. Give prob of sequence gskg.\nAnswer: 1\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1317 - 1132 = 79*o for o.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4004053.\nAnswer: 31, 227, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o**4\/6 - o**3 - 2*o**2 + 35*o\/3 + 25\/2 = 0. What is o?\nAnswer: -3, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -12*u + 4. What is the units digit of n(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.09777606 rounded to two dps?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 176 + 19\/((-304)\/(-288)). Solve 22*s - 4 = u for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*k**2*s*u**2*z + 436*k**2*s*u*z + 34*k**2 + k*s*u**2 + 2*k*u**2*z + 3*k*u**2 + 6*k - 6*s - 2*u*z + 3*z wrt k.\nAnswer: 8*s*u**2*z + 872*s*u*z + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -73\/5 + 76\/5. Let f = y + -394\/15. Let g = -26 - f. What is the second biggest value in -1\/4, 0.4, g?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - 0*2\/8. Let u(l) = l**3 - 16 - 4*l - o*l**3 - 7*l**2 + 2. List the prime factors of u(-8).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -21813*h**3 - h**2 - 14*h - 42. Let f(u) = -36355*u**3 - 2*u**2 - 24*u - 72. What is -12*a(c) + 7*f(c)?\nAnswer: 7271*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -174.5 - -174.4. Put d, 8, -56 in increasing order.\nAnswer: -56, d, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 + 0*p**2 - 5*p**2 - 6*p**2 + 14*p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 575486318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + 116 - (-4 - -24)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 10, -g + 5 = -5*f + 28. Let r(c) = c - 5. Let o be r(f). Suppose -2*u + 8 = -o*u. Solve -u = 2*w - w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 2)*(1872\/(-168) + 11)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j + 2. Let v be x(2). Let d(u) = u**2 + 7*u + 12. Is d(v) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 9, 176, -3.\nAnswer: -3, 5, 9, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -1919231\nAnswer: -4\/1919231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 + 5. Determine l(-6).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.653 - 0.003. Let h = 975.451 - 975. Let k = n - h. What is k rounded to two decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or 0.075?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and (4 + 2)\/6 - (-6 - -1).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 262*d**2 + 35*d - 43. Calculate g(1).\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1084 - 550 - 534 - 1007*b.\nAnswer: -1007*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 825106 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 4\/(-2) + 19 + -18.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 82*n**2 + 27*n - 17. Calculate the remainder when y(4) is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 524*p + 2*m + 28 = 516*p, 2*p + 3*m + 12 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.159 + -120\nAnswer: -120.159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j. Let p(t) = -27*t**2 + 4*t. Give b(p(r)).\nAnswer: 81*r**2 - 12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16238 and 78959.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 881 and 6.584029.\nAnswer: 887.584029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7}. What is prob of picking 4 u?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*k - 2*k - 9808. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 25\/2 of a microgram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/7, 78, 0, 8, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 92489612 to the power of 1\/3, to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (607\/5 + -2)\/1. Let o = -119 + l. Let a = -0.14 - -2.14. Is o at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.1 + -0.1. Let v = -0.7139 + 0.6739. Sort x, -2\/15, -4, v.\nAnswer: -4, -2\/15, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - (8\/(-8) - -2). Let v(x) = -5*x - 3. Determine v(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 292 - 701. Is -408 greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9641, 3\/5, 2, -5, 2\/21?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -335?\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 277.34 - 1911479897.8?\nAnswer: -1911479620.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**4 - 3*t**4 - t**5 - t**5 + (-3*t**2 + t**2 - t**2)*(t**3 + 0*t**2 + 0*t**2).\nAnswer: -5*t**5 - t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 186000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2888 - 1.\nAnswer: 2887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 243\/7*q + 1458\/7 + 0*q**2 - 1\/7*q**3.\nAnswer: -(q - 18)*(q + 9)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 611 + 607 - 1209 + 20*l wrt l?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2630 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 74.25039 + 11.592\nAnswer: 85.84239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -374*10\nAnswer: -3740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -842 * 0.1.\nAnswer: -84.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + -59 + 81 - -36.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 352560 divided by -1040?\nAnswer: -339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 8) + 4 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of 3*c**6\/10 - c**3\/6 + c**2 - 46*c. What is the second derivative of r(p) wrt p?\nAnswer: 108*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, -4411, 1, 2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1512, -1497, -1482, -1467, -1452?\n\"Answer: 15*t - 1527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 190056.537s in days?\nAnswer: 2.1997284375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 831 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 6\/((-4680)\/(-285))*-4?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23275.96 less than 5?\nAnswer: 23280.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40.9 - 43. Let r = 25429\/89075 + 3\/12725. Which is the nearest to r? (a) -5 (b) q (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12646365*n - 3380002?\nAnswer: 12646365","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 30 = -5*j. Let v(p) = j*p - 2*p + 15*p**2 - 20*p**2. Let q(h) = h**2 - h. Let u(c) = -4*c - 24. Let x be u(-7). Give x*q(r) + v(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68377 divided by -6.\nAnswer: -68377\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 3749\/5, 2, -3 in descending order.\nAnswer: 3749\/5, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/30)\/((702\/(-520))\/(-9)). Which is the closest to 0.42? (a) -9 (b) 1 (c) v (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-4*(sqrt(1088) + 2) - (sqrt(1088) + 3)*-2) + -4).\nAnswer: -16*sqrt(17) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/1186 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -213 - 4?\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*h - 3*z, 2 + 12 = 5*h - 3*z for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34185 divided by 15.\nAnswer: 2279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -2c?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**3 - 8 + 3*d**3 - 2*d**3 - 4*d**3.\nAnswer: -3*d**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {y: 1, o: 11, m: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -8*z**3\/3 - 5*z**2\/2 - 10*z - 24. Let g be s(-2). Is g less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120 and 343020?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 895\/1611*(-3)\/6*4\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8534 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 127900\/2100 - (-6 + (-248)\/(-42)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 3 + 21. Let z = i + -1. Suppose 0 = 26*h - 14 - 38. Put z, h, 3 in increasing order.\nAnswer: h, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 29. Suppose -4*x + 28 = f - 0*x, -155 = -5*f - 5*x. Let h = g + f. Calculate the greatest common factor of h and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 155872456 to the nearest integer?\nAnswer: 12485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 24\/28*46998\/9*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2*r**5 - 11299*r**4\/3 - 24449*r**3\/3 + 7537*r**2\/3 + 24455*r\/3 + 1254 = 0.\nAnswer: -1881, -2, -1, -1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 5*l**2 + 3*l + 5. Let r(d) = -d**2 + 8*d - 5. Let m be r(8). Give k(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*h*j*y + 18*h*j - 4608*h*t*y - 2*h*t + 284*h*y + 11*h - 2*j*t - 73031*j with respect to y.\nAnswer: -4*h*j - 4608*h*t + 284*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/20)\/i*i**(-2\/45)\/i)\/((i**(-23)*i)\/(i\/(i\/(i\/(i\/(i*i**28*i*i)*i))*i))) assuming i is positive.\nAnswer: i**(8839\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*o + 112 = 34*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 720388740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -445 * 11.912.\nAnswer: -5300.84","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 6393 - 15082. Let a = m - -26208. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of 0 - 8*f**2 + 0*f**4 + 1\/10*f**5 + 0*f - 1\/210*f**7 + 0*f**3 + 0*f**6. What is the third derivative of q(b) wrt b?\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1416 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2100\/12180*(12\/15)\/(-4).\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -185347, -4, -397 in descending order.\nAnswer: -4, -397, -185347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 0.5, 0, 4 in ascending order.\nAnswer: 0, 2\/13, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 o when two letters picked without replacement from mkmuiqqio?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56964723*a**3 - 83867275*a.\nAnswer: 341788338*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 628, 611, 592, 571, 548?\n\"Answer: -x**2 - 14*x + 643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 38*q**2 + 4*q - 162. Give g(38).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10954543.\nAnswer: 10954543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 26 (b) 203221 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -38891?\nAnswer: 38892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -48*1360\/(-51840)*-54?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 151 + -39. Let d be ((-4)\/14)\/((-8)\/s). Which is smaller: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 1. Let x = 6 + -3. Suppose 2*t = -7 + 3, -x*d - 2*t = 7. Let m be u(d). Are m and -3\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4919601611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-134)\/((-8)\/(-6)*-3). Let r = 33 - n. Which is the closest to r? (a) 1 (b) -0.5 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 1 = 2*c - 5*u, 4*c + 15 = -3*u. Let z = 3 + c. Suppose -3*n = -g - 414, -3*g = -z*n + 2*n - 276. Does 37 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279048 = 5301*k + 1041*k for k.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (61 + 60 - 114 - 4 + 1 + 1 + (5 - 2 - 1)*(-4 + 3 + 0) + 0 - 10 - 1)*(-13 + 13 - 6*x) to the form i*x + p and give i.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 363 - 123. Suppose -b = -0*l - 4*l. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 507564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -229 or -231?\nAnswer: -231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 646757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 94.4 * 7\nAnswer: 660.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 337088 and 100073?\nAnswer: 6404672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*f + 9*f + 30. Let j be -1 + -1 - 72\/(-4). Solve -16 = -f*a - 0*k + 4*k, 0 = 2*a + 4*k + j for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45674315 a multiple of 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 5*k**3 + 83*k - 83*k + 4*k**3 as f*k**2 + u + i*k**3 + m*k and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**3 - 7*w**2 - 173*w + 90. Let i be c(-8). Suppose 38\/15 - 2\/5*s**i + 112\/15*s = 0. Calculate s.\nAnswer: -1\/3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 641 + -600.5. Round m to the nearest integer.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 33. Calculate the remainder when t is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 967096 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4191227519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108268, -216537, -324806, -433075?\nAnswer: -541344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 940 + 292. Suppose -4*k = -3*t - t + h, 5*t - k - 766 = 0. Does 8 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*w - 85 = 26 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1961712?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 717 divided by 32509.\nAnswer: 717\/32509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-98 + 37)*(5 - 112\/22)\/((-6)\/33).\nAnswer: -61\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + sqrt(19))**2 - sqrt(19) - (-1*sqrt(209) + sqrt(209))\/sqrt(11) - 4*(sqrt(684) + 2 + sqrt(19)).\nAnswer: -29*sqrt(19) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 10:02 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 5042840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3469, -0.4, 0.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -9 - 33*p + 7 - 3 - 7*p. What is the tens digit of c(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -703.\nAnswer: -140.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 16 - 57*l**2 - 1161*l**2)*(2*l**2 + 0 + 0).\nAnswer: -2436*l**4 - 10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.25 - -0.05. Let u = 171\/5 - 627\/10. Let w = -29 - u. What is the smallest value in -0.4, x, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqqqqpqqqq. Give prob of picking 2 q and 1 p.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -2*z. Which is smaller: 3\/14 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7996 is divided by 740?\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3310245017 to the nearest integer?\nAnswer: 1490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -5708 + 888. Let x be v\/(-1160) + 6\/4. Let a = -2\/29 + x. Is 1 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.05 - 26.95. Let n = 2612 - 2645. Let c = b - n. Which is bigger: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 111 = 75. Let x be (12\/(-4) - -72) + g\/(-3). Calculate the highest common factor of 6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 9*o - 260. Let j be m(37). Suppose j = 4*w + a - 20, -w = 4*a - 42. Solve 4*c - v + 3*v = -w, 5*c + 4*v + 29 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) 1\/7 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(63\/15 - 4). Let b = w - -47. What is the second derivative of 5*c**2 - 5*c**5 - 5*c**b + c + 17*c**5 wrt c?\nAnswer: 240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -452 + 455. Suppose 2*h = 5*h - k*z - 2292, -5*h + 3804 = 3*z. What are the prime factors of h?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 53 (c) 61\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 22.77828nm?\nAnswer: 0.000002277828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-4)\/12 + (-28)\/105\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q - 2061 = -22*q. Let c(i) = 0*i**3 + q*i**2 + i**3 - 119*i**2 + 5 + 2*i - 115*i**2 - 3. Give c(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000133198167 rounded to seven decimal places?\nAnswer: 0.0001332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 10:08 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29325813.\nAnswer: 3, 11, 888661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-10) + 42\/10. Let u(g) = -g - y*g + 4*g. Let l(d) = -42 + 13*d**2 - 8*d**2 + 42. Determine u(l(q)).\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/553 and 53\/4276744.\nAnswer: 29937208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 607859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 15*c + 22. Give x(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 18 - 2 = 0. Let d be (-4 - 0)*25\/g. Suppose w - 14 = -4*w + n, 5*n = 5*w - 30. Put 3, d, w in decreasing order.\nAnswer: d, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 + 12 = -3*b - 4*h, 5*b + h + 140 = 0. Let u = -11 - b. Solve 12 = a - 5*q - 17, -q = -3*a + u for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 3*t + 9, -3*q + 3*t = 2*t - 1. Is 7 a factor of (-7 + 6)\/(q\/7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 20. Let h = 14 - t. What is the units digit of (-4)\/16 - (-5)\/h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-15*(-2)\/5 - -1208)\/2 is divided by 99.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37 or 39?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 8*x**2 + 6*x + 5. Let c be (1 + 1)*(-203)\/58. Give d(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1111010011211020 + 0?\nAnswer: 1111010011211020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5930.\nAnswer: 2, 5, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -5*o + 1, -2*o = w + 3*o - 7. Let g be 1\/(-3)*-11 - 56\/(-168). Put g, -5, w in increasing order.\nAnswer: -5, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from haaubhvvf. What is prob of sequence bfua?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-24))\/(32\/(-16))*-1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147)*1*-4)**2.\nAnswer: 2352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*d**2 - d + d)*(-10*d - 30*d + 5*d) to the form s*d**2 + h + a*d**3 + o*d and give a.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (6\/6 - 6). Suppose -4*j - 389 = -4*b + 383, -b + x*j + 205 = 0. Are 189 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*y = 17*y + 104. Let s be 9\/(-2)*(1 - -1). Let b = s + y. What is the smallest common multiple of 2 and b?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g = -2*g - 709616. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 0.3, -2 in increasing order.\nAnswer: -2, 0.3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 5\/33097779?\nAnswer: 5\/33097779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/7? (a) -1 (b) -1\/3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -264.4733936 rounded to the nearest 10?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 6*v**2 + v + 8. Let o(w) = -w**2 + 6. Let x be o(0). Let m be j(x). Let z = -8 + m. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2021 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**2 - 19*z. Let j be g(-8). Let i be 8\/(-12)*(-8)\/j. Factor 4\/9*s**3 - 2\/9*s**4 + 4\/9*s**2 - 2\/9 - i*s**5 - 2\/9*s.\nAnswer: -2*(s - 1)**2*(s + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -9*r**5\/2 + 9*r. Let x be k(1). Let p = 20 - x. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 5:32 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 - 0.9. Suppose 3 = y - 5*y + d, -2*y - 5 = 3*d. Let k = -5.9 + 0.9. Which is the nearest to y? (a) k (b) 1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*n**3 + 4*n**4 + 13*n**3 + 3*n**2 - 3*n**4 - 26*n**3 in the form f*n**4 + d*n + y*n**2 + c + k*n**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/4 of a millisecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 minus 0.73?\nAnswer: -92.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 2238?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11190687 and -1.55.\nAnswer: 11190685.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 5:01 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-12)*0 - 4. Let t(g) = 2*g**2 + 2. Let f(v) = 5*v**2 + v + 4. Let z(l) = 3*f(l) - 7*t(l). Let k be z(a). Solve -3*x - 9 = 3*o, 5*o + 12 = k for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 2*i - 22, -3*i = p + 3*p - 29. Let k(q) = q**3 + 14*q**2 + 37*q + 157. Let c be k(-12). Put i, c, 3, 2 in descending order.\nAnswer: i, 3, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 3. Let h(v) = -6*v - 1 + 113*v**3 + 436*v**2 - 241*v**2 - 193*v**2. Is h(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/2470 and 103\/380?\nAnswer: 4940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -y**6\/360 + y**5\/30 - y**4\/6 + 5*y**3\/6 - 2*y**2. Let f(v) be the first derivative of b(v). Factor f(c).\nAnswer: -(c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6571 + -65?\nAnswer: 6505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 205016771 greater than or equal to 205016770?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 8460212773?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 - 2*z - 1. Let h be i(-1). Suppose h*v - b + 6 = 0, -4*b + 3 + 5 = -4*v. Let m = 4 - 5. Which is smaller: v or m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 5*y**5 + 5735*y**4 + 1629970*y**3 - 8421200*y**2 - 36587520*y - 26542080 = 0?\nAnswer: -576, -2, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 70680559 to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180 and 4260.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3316 - -3360. Is 846\/19 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*m - 582 - 534. Calculate the remainder when m is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -0.1 (c) 3 (d) 9\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47333 is divided by 3931.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and 2197758169511.\nAnswer: 2197758169506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-2\/19))**(-35)*(((j**(-16\/3)*j)\/j)\/j)\/(j\/(j\/j**(-7\/3)*j*j)*j*j*j*j))**(-15) assuming j is positive.\nAnswer: j**(12735\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 152, -3, -523, 5 in decreasing order.\nAnswer: 152, 5, -3, -523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 127633080?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190173?\nAnswer: 3, 63391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 43320516 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 43540909 a multiple of 404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 1*(0 + (sqrt(2) - 2*sqrt(2))))*-6)**2.\nAnswer: -216*sqrt(2) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 54601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -3*s + 1, -s - 4 - 1 = -6*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 + 3 + -4 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 523*k**5*t**3 + k**5*t**2 - 6*k*t**3 - k*t**2 + 2*k*t wrt k?\nAnswer: 10460*k**3*t**3 + 20*k**3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 6*f**2 + 8*f + 3. Calculate the common denominator of ((-6)\/(-15))\/((-4)\/(-23)) and g(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v - 24 = 90. Let x(p) = p**3 + 7*p**2 + 6*p + 8. Let l(y) = y**3 + 7*y**2 + 6*y + 7. Let u(d) = 5*l(d) - 4*x(d). Determine u(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + b = -5*i, 16 = 4*b. Let t = 1.4 + -1. Let a = t - 0.3. Sort i, a, -1\/2 in descending order.\nAnswer: a, -1\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -123 - -66. Let y = 89 + -71. Let o be 9\/y - (w\/2 - 1). Calculate the greatest common factor of o and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, j: 3, u: 2, a: 2, p: 9, c: 3}. Give prob of picking 1 j, 1 a, and 1 u.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 7*l**2 - 4*l**2 - 2*l**2. Let g be 6\/9*(1 - -2). Let d(b) = 1 + 2*b**g - 1. What is d(u(i))?\nAnswer: 2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p + 25*p**4 - 108*p**4 + 46*p**4 + p**3 - 5*p**2 + 39*p**4 - 2 in the form d*p + i*p**2 + t*p**3 + x*p**4 + n and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1337.\nAnswer: 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 506561.\nAnswer: 11, 46051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 101405 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 1097*x - 35124. What is n(32)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 9*g - 4. Let r(a) = a + 1. Let w(m) = 6*r(m) - t(m). Determine w(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -r**5\/60 + 2813*r**3\/6 - 3550*r**2. Let q(x) = x. Give q(w(g)).\nAnswer: -g**2 + 2813","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/(-2)*24\/10. Let r(v) = -v**3 - 7*v**2 - 7*v - 1. Let g be r(-5). Let h = g + z. Is h a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + y + 0*y)*(y**2 + 5*y**2 - 5*y**2) - 6*y**3 + 0*y**3 + 2 + 2*y + 306.\nAnswer: -7*y**3 + 2*y + 308","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (407 - 196 - 7*s - 207)*(2 - 3 + 0).\nAnswer: 7*s - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -408, -518, -2, 1452, 4156, 8422, 14562?\n\"Answer: 52*w**3 + w**2 - 477*w + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*o + 2*p, -2 = -4*o - p + 19. Let t(a) = -2*a + 4*a - a - 2*a + o. What is t(11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/3 - (2 - (-37)\/(-3)). What is the nearest to s in 2, 5, 1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 802744?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28.16929 + 0.10129. Let k = -28 - z. Round k to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 147, 317, 553, 855?\nAnswer: 1223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 57e?\nAnswer: -57a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 76655141 to the nearest integer?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.09, 0.1, 4, 0, 33?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/117, -5, 3\/4, -7?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 - (-5 + 9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(448)*6 + -2.\nAnswer: -2 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**4*l*l*l**(-2\/9)*l)\/(l\/(l*l*l*l*l\/l**22*l*l)*l\/(l\/((l\/l**(1\/4)*l)\/l))) assuming l is positive.\nAnswer: l**(-359\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 5*s + 7, 5*l - 31 = -s - 0*s. Solve -18 = i - l*i - 3*w, i = 2*w + 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91033074127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a litre in millilitres?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*i + 2 = 22*i. Suppose 3*w - 4*h + 3 = -2, 5*h - 15 = -5*w. Suppose i*v - 5*v = 9, g + 3*v - w = 0. Are 10 and g unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qpoaoqrooplro. What is prob of sequence arr?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 5*a - 14. Suppose -a + 0 = -7*s. Suppose -3*q + s*q = -13. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 12*l**2. Let n be c(12). Suppose -i - i = n. Suppose i*f = -3*f + 16800. What is f rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -70824.37600095 + 70824.4. Let r = 0.024 - v. What is r rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1074150709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29 and 40\/3817?\nAnswer: 3817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 90 - 62. Suppose 9*t + 62 = -g. Which is the nearest to -2? (a) t (b) 4 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -10 (b) 2\/9 (c) 1 (d) -1025\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111 - 101010111?\nAnswer: -101000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 65359.1 and -1?\nAnswer: -65359.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*i = -16, -4*i + 16 = -3*f - 0*i. Determine c so that 1\/2*c - 2*c**2 + 3*c**3 - 2*c**4 + f + 1\/2*c**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 48 = -19*j. What is the second derivative of 10*s**j - 19*s**2 - 25*s**3 + 87*s + 7*s**2 wrt s?\nAnswer: -150*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 2*x + 7320767, -48*m + 7320766 = -43*m - x. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 107, -33, -3 in decreasing order.\nAnswer: 107, -3, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -15*i + 9*i - 5*i - 5*i + 47 + 2*i**2 - 4*i. Let x be h(3). Which is the third smallest value? (a) x (b) -4\/9 (c) 4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -518, -2256, -5152, -9206, -14418, -20788, -28316?\nAnswer: -37002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4437)\/1044)\/((-3)\/4).\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32703 divided by -57?\nAnswer: -10901\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17965*k + 18147*k + 7462 for k.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 648 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/54085?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/247223 or -1?\nAnswer: 5\/247223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/46*(-130)\/23790*-61?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.109 + 0.1469. Let x = u + -41.4379. Let r = 48 + x. What is r rounded to 0 decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 115999*i + 5. Let d be 6\/4*30\/9. Let j be m(d). What is j rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -6 + g**3 + 0 - 89*g**2 + 15*g - 12*g + 95*g**2. Determine z(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -93672 * -21.504\nAnswer: 2014322.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -1\/7, -3\/4, 2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 50.0487mm?\nAnswer: 5.00487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 divided by 87?\nAnswer: 55\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 868\/63 - (-4)\/18.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 1339*v = 1340*v - 10, -38 = 2*x + 5*v for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -a**6\/600 + a**5\/150 + a**4\/15 + 33*a**2\/2 + 78. Let d(x) be the second derivative of s(x). Determine m so that d(m) = 0.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1019.1821 * -0.6\nAnswer: -611.50926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 1 - 13 = 0. Let j be x\/12 + 85\/30. Suppose -3*z - 7494 = -0*u + u, -37506 = 5*u - j*z. Round u to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1731753?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -68*o**2 + o - 10231. Let a(j) = 12*j. What is a(w(n))?\nAnswer: -816*n**2 + 12*n - 122772","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -35*g**4 + 957*g - 581. Find the first derivative of a(x) wrt x.\nAnswer: -420*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 21761011.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a second in milliseconds?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (48\/(-30))\/((-16)\/(-10) + -2). Suppose 128 = c*t - 40. Calculate the highest common factor of t and 378.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18679 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-2)\/(3 + -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*o**2 + 11*o**2 + 4*o - 3*o**5 - 2*o wrt o.\nAnswer: -60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -230*m**2 + 5523*m - 11. What is j(24)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*k = -3*o + 6, 0 = -2*o + 3*k + 2. Suppose o*f - 9 - 7 = 0. Solve -w + 2*x = -2*x + 9, f*w = 3*x - 23 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2005 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 32\/63 + (-8)\/36. Let s = 8 - 6. Let d be (-38)\/(-90) - (-2)\/(-9). Which is the closest to s? (a) i (b) 0 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnjowjoodewe. Give prob of sequence oweo.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 3*f**2 - f - 2. Let k be (5 - -1) + -1 + -1. Calculate the remainder when 27 is divided by w(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1783 divided by 1783?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -34\/7, 2, -0.4, 35, 0.4?\nAnswer: -34\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ay when two letters picked without replacement from {d: 1, a: 1, q: 1, y: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -702070 + 119.13.\nAnswer: -701950.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 5*u**2 - 5*u. Let b be a(-6). Let x = -4 - b. Let y be 960\/8 + x + -1. Calculate the highest common divisor of y and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -138*u - 41. Suppose h - 27 = 7*p - 6*p, -5*h = -2*p - 42. Is v(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9542, 18962, 28106, 36836, 45014, 52502, 59162, 64856?\nAnswer: 69446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 156878170 and -1078.\nAnswer: 156877092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 4, e: 7}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1788 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**3 + 2*q**2 - 7. Let a be 9\/(-135)*2 + 86\/(-30). Let h be k(a). Which is bigger: h or -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -452.92 - -453. Suppose 0 = -4*i + 121 - 145. Which is smaller: i or f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvvvv. What is prob of picking 2 v?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**4 - 2*w + 2*w)*(-46 - 5*w + 46)*(-1 + 1 - 3).\nAnswer: 30*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -10108*p - 1296*p - 1775*p + 1261*p as k + y*p and give y.\nAnswer: -11918","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100000000101110001 (base 2) to base 6.\nAnswer: -22015441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.13 and -1.5542591?\nAnswer: 0.202053683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -736201\/1950882 + 3\/17113. Let d be (-269)\/12*108\/(-4)*1. Let z = d + -630. What is the common denominator of s and z?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -121312?\nAnswer: -121303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*v = -144 - 20, -v = 3*s - 466. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/12 and -17\/2030512.\nAnswer: 6091536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 2 = 3*p. Find the first derivative of 5 - 4*g**4 - p + g**3 - g**3 wrt g.\nAnswer: -16*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y + 3*y + 0*y + (2 + 1 - 1)*(-2*y - 27*y - 12*y)*(20 + 19 - 11).\nAnswer: -2294*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1381, 2761, 4141, 5521, 6901?\n\"Answer: 1380*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -473, -545, -737, -1109, -1721, -2633, -3905, -5597?\nAnswer: -7769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = 4*n + j, -n = 4*j - 0*j + 9 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3010685 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1725766966.\nAnswer: 2, 7, 11, 1600897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*d - 18*d + 75*d - 15*d - 20*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*c - 36 - 22 = 0, 2*c = 5*g - 74. Let j = g + -12. Calculate the highest common factor of j and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -7*c**2 + 31*c**2 + 8*c**2. Let f(k) = 11*k + 5. Let b(u) = 2*u + 1. Let i(p) = -5*b(p) + f(p). Calculate n(i(o)).\nAnswer: 32*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -0.8. Let t(r) = -2*r**3 - 11*r**2 + 21*r - 3. Let j be t(-7). What is the closest to j in 2\/21, z, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = h + 2*u, -u + 3*u - 26 = -5*h. Let o be 8\/36 - 50\/(-18). Let a = h + o. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -b**5\/60 - b**4\/6 + b**3\/2 - b. Let s(i) be the second derivative of z(i). Calculate s(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**9\/c)\/c)\/(c\/(c\/c**(-9))) assuming c is positive.\nAnswer: c**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2115*d - 1753*d + 331*d = -38*d - 150457 for d.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 896 and 224.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -9 + 269 + (-16)\/4 is divided by 81.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a - 2*a + 4*a)*(-16*a**2 - 16*a**2 + 9*a**2)*(a**2 + 10 + 2*a - 23 + 11).\nAnswer: 23*a**5 + 46*a**4 - 46*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -3, -1416 in descending order.\nAnswer: 2\/7, -3, -1416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -11*w - 7. Let q(i) = i**2 - 56*i - 36. Let h(t) = -2*q(t) + 11*z(t). Let l be h(-5). Let b = 18 + l. What is the highest common factor of 40 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f - 3. Let r(n) = -2*n - 3. Let g(j) = 3*m(j) - 2*r(j). Let v be g(-3). Suppose v*z - z = 0. Solve z*o = -2*o - 4*x - 10, -5*o - 5*x = 5 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 9) in base 2?\nAnswer: 10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -313, -623, -933?\n\"Answer: -310*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -937.2 and 5.\nAnswer: -4686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -3704, 1, 1.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-24))\/((-3)\/120*10)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.0412 (b) -3 (c) -2\/13 (d) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -611*z. Let t(n) = -43*n. Determine t(u(b)).\nAnswer: 26273*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b + 6*b - 2*b)*(-2*b + 0*b - 5*b)*(69 - 247 - 126) + b**2 + 3*b**2 + b**2 as j*b + i*b**2 + o and give i.\nAnswer: 4261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by (7 + (-133)\/21)*117\/2.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.26867 + 0.56867. What is the second biggest value in 5\/8, 3, b, 2\/11, -37?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/(-24) + (-1)\/((-3)\/277). Suppose 7*v - 4*v = k. Calculate the least common multiple of v and 8.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o**2 + 71*o + 7469. What is t(-35)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -178704, -356981, -535258?\n\"Answer: -178277*p - 427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -130 - -40. Let j = l - -84. Which is bigger: j or -8?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(832) + (-1 + sqrt(832))*-2 + -1 + (sqrt(832) - (sqrt(832) - (0 + sqrt(832))) - sqrt(832)))**2 + 2*((0 + sqrt(832))*-4)**2)*-2.\nAnswer: -64*sqrt(13) + 109828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34.4 * -10.\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z + 13. Let k be y(-9). Let g be (-1)\/(k\/(-21 + 1)). Suppose 0 = g*m - 4*a - 82, 3*m + 0*a = 3*a + 51. What is the least common multiple of 18 and m?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p - 3*p = 592. What is the first derivative of 53 - 33*t**2 - 30*t**4 - p*t**2 + 70*t**2 wrt t?\nAnswer: -120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -35*x + 41. Let n(z) = -12*z + 15. Suppose -46*k = -48*k + 12. Let f(d) = k*t(d) - 17*n(d). What is f(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 times -0.11\nAnswer: 0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/6 - 16\/(-6). Suppose 0 = 5*z + 3*n - 4*n - 1287, 0 = -2*z - 4*n + 506. Let b = -259 + z. Sort b, 0, u.\nAnswer: b, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/(0 + (-2)\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -688961 or -688991?\nAnswer: -688991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.096 in -0.595, 0, 1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2424148 rounded to the nearest 100000?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -131*y - 7. Calculate w(-4).\nAnswer: 517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 6*c - 6. Let f be a(-7). Let w be (-145)\/45 - (-4)\/18. Sort 3, f, w in decreasing order.\nAnswer: 3, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 11. Let r be (-6)\/(-27) - 38\/t. Let m = 127 + -132. Put r, 2, m in descending order.\nAnswer: 2, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4422*i**3 + 34087*i**3 + 8233*i**3.\nAnswer: 46742*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5070130 and 146200.\nAnswer: 1723844200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 6*l**3 + 2*l**2 - 4*l + 2. Let j(y) = 7*y**3 + 3*y**2 - 5*y + 3. Let x(n) = -3*j(n) + 4*w(n). What is the remainder when 47 is divided by x(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 14*q**2 - q + 20. Let t be b(14). Let f(s) = -7*s - 32. Let i(l) = -8*l - 31. Let v(u) = -7*f(u) + 6*i(u). Is 22 a factor of v(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -121*i**3 - 151*i**3 - 9*i**3 + (3*i**3 - 2*i**3 + i**3)*(-5 + 1 + 2) - 6*i**3 - 4*i**2 + 4*i**2 + (2*i + 4*i - 5*i)*(2 - 2*i**2 - 2).\nAnswer: -293*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-4))\/(60\/16). Sort 3\/44, 2\/15, l in descending order.\nAnswer: l, 2\/15, 3\/44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-1) + -2 + 3. Let u = 1 + c. Let b be (-9 + 36\/4)\/(-2). Solve b = -s - u*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 5*j - 4. Let z be p(-7). Let k be -1 + 6\/(-9)*-267. Let v = k + -87. Calculate the greatest common divisor of z and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 6*l**2 + 6*l + 2. Let k be n(5). Solve 3*w = k*w, -8 = -2*r + 3*w for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/12 and 47\/9952.\nAnswer: 29856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-6*(sqrt(135)*1 + sqrt(135)) - sqrt(135)))\/((-2*sqrt(405) - sqrt(405))*-3).\nAnswer: -13*sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1320)\/32)\/((-15)\/(-40)). Let o be 1*(-8)\/4*2\/(-4). What is the second smallest value in -3, w, 0.1, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-742 + 794 + 338)*(2 - 6 + 2)*((z + z + 0*z)*(-2*z + 0*z + 0*z) + 2*z**2 - z**2 - 3*z**2 + 6*z**2 - 4*z**2 + 0*z**2)*(-1 - 2 + 1).\nAnswer: -6240*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wutwuww. Give prob of sequence ut.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 (base 6) in base 9?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jl when two letters picked without replacement from jljl?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157612 is divided by 488?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4, -0.3, -90722, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.3 - 14. Let x = j + 2.700048. Round x to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t**2 - 4*t**2 + 14*t**2. Let l(u) = 2*u. What is l(m(h))?\nAnswer: 14*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*y**3 + 122076*y**2 - 31*y - 25672294 with respect to y.\nAnswer: -9*y**2 + 244152*y - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -81 in 5, -8, 2\/19, -1\/65, -0.5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b**2 + 7*b - 4. Let u be t(4). Put u, -5, -3, 5 in increasing order.\nAnswer: u, -5, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100 and 4375.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 8. Suppose 5*x - 25 = 5*s, 6 - 23 = -4*x + s. Let g = 9 - x. Put g, j, 0 in decreasing order.\nAnswer: g, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 1169*v**2 - 5*v + 5. Let l(n) = 585*n**2 - 3*n + 3. Calculate -5*l(o) + 3*r(o).\nAnswer: 582*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4d8e + -1a?\nAnswer: -4da8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**3 - 6408*s**2 - 12832*s = 0 for s.\nAnswer: -2, 0, 1604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -11. Let k(w) = -2*w**3 + 3*w**2 + u*w + 0 - 3*w**3 + 1. What is the tens digit of k(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -61*r + 56*r + 223895. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + 14\/(-3))*(-6 + -30). What is the greatest common factor of i and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -8 + t**2 - 10 - 11*t - 3 + 2. What is the tens digit of c(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 233*i**6 + 106444*i**3 + 22*i**2 + 6294*i + 21?\nAnswer: 27960*i**3 + 638664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12.92 + 13. Let n = 0.6 - 0.54. Let f = u + n. What is f rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/3*4*3. Suppose 2*v = 3*v + 5*o - 30, -3*v = -r*o + 5. Suppose v*h - 33 = -4*i + 97, -4*i = -h + 50. Is h a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42160658 and 437.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1132 - 678. Let w be 2\/(4\/t) + -2. Let o = -4858 - -4883. Calculate the greatest common factor of o and w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jkamwjrm. Give prob of sequence rwa.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1738 and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 20865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-258)\/40*20\/(-24) and ((-2500)\/(-48))\/(-5)*-2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 98269771?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-2)*-260 - -3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 142401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 10:03 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -443*h + 30 = -437*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*c - 56*c + 29939. Let a(x) = 2 + c*x - 2 - 664*x. Let u(g) be the first derivative of g**2 + 1. Give u(a(t)).\nAnswer: -106*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**2 + 19*x**2 - 16*x**2 + 16*x**2 - 25*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*a - 15008 = -131*a. Let j = 1518 - a. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24171.6 and -311.\nAnswer: -7517367.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163.5614ng to micrograms.\nAnswer: 0.1635614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n - 11. Let j be c(8). Suppose 2*m = -j*u + 28, -2*m + 25 + 3 = u. What is the smallest common multiple of 22 and m?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**4\/4 + 11*h**3\/4 + 31*h**2\/4 + 21*h\/4 = 0.\nAnswer: -7, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)\/(sqrt(3) + -1*sqrt(3)*3))**2 + 0 + (sqrt(136)\/sqrt(8)*4)**2.\nAnswer: 1105\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -2 - 12\/18)*36. Let h = 28 + p. Suppose -50 = 2*j + 4*l - 310, 0 = -h*l - 20. Is 28 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 298.8.\nAnswer: 29.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((12 - 9) + (9 + -3 - 26) - -6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 321 - 15*s**3 - 271 - 2*s**2 - 2*s**3 with respect to s.\nAnswer: -51*s**2 - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 42*m - 14*m - 65*m**2 - 19*m - 9*m. Let c(p) = p**2. Calculate f(c(r)).\nAnswer: -65*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 12*p - 12 + 10 + (0 - 2 + 3)*(3*p - 3*p + 2*p) + (3 - 2 - 7)*(16*p + 10*p - 13*p).\nAnswer: -64*p - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 134066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.02 from -47.\nAnswer: -47.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4\/127, 2, -3\/5, -0.4?\nAnswer: -4\/127","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1167 is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*i**3)*(-i**2 - i**2 + 0*i**2) + (2*i**5 - 2 + 2)*(59 + 192 - 20).\nAnswer: 458*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-20))\/(6 - 5)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10\/3*k**2 - 7*k - k**4 - 1\/3*k**5 + 2*k**3 + 3.\nAnswer: -(k - 1)**3*(k + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2350714, -2350712, -2350710, -2350708, -2350706, -2350704?\nAnswer: -2350702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.4 - 7.9. Let p = -251\/6 - -42. What is the closest to -1 in p, a, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 207548 and 110?\nAnswer: 1037740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39114?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of 13*s**4\/24 + 5*s**3\/3 + 4*s**2. Let l be d(3). Solve -l*n + 3 - 10*n**3 - 6*n**2 + 51*n - 1 - 4*n**4 = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173276137?\nAnswer: 67, 227, 11393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -136.28 - -146. Let y = w + -9.7709. Let v = y - -0.055. Round v to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 150804 and 954?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 3. Suppose -s = -3*m + 8. Suppose -16 = -m*t + 17. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2964, 6119, 9200, 12207?\nAnswer: 15140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jqc when three letters picked without replacement from jeeqqerxrqce.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2)\/d*d*d**(3\/4)*d)\/(d*d**(-5\/6)*d*d*d**(-1\/3)*d*d*d))**(-21\/2) assuming d is positive.\nAnswer: d**(427\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 723110247 to the nearest integer?\nAnswer: 898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.5, -145, -4\/3, 10, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -430 plus -4.3?\nAnswer: -434.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r - 3*r - 5*r - 4*r.\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 5*u**2 - 5*u. Let q be z(-4). Suppose -2*v + 9 + 21 = 0. Solve q*a - v = a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8471 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 16*m. Let i(q) = 16*q. What is 5*f(a) - 4*i(a)?\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -0.36?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1330*m - 3 + 1313*m - 469*m to t + y*m and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -2\/3 (b) 1980 (c) -0.07 (d) 0.02 (e) 1\/10 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(-17)*y*y)*y\/(y**(-7\/5)\/y))**11 assuming y is positive.\nAnswer: y**(1012\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-1)*(3034300\/(-115140) - 5*(-10)\/2525)\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2 + 9*t - 5. Is 22 a factor of n(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 797720.501293 + 1.498707. Let a = -797769.0049 + o. Let d = 47 + a. Round d to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 + 8181153*p + 8181152.\nAnswer: (p + 1)*(p + 8181152)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 890 is divided by 414.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9.2 in -1, -21\/4, 3, -1\/9?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**4 + 3*g**4 + 2*g**4 + (3*g - 4*g + 2*g)*(-g**3 + 0 + 0) + 2*g**4 + 2 - 2 - 7*g - 7*g**4 + 7*g.\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 2:23 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/3 - 674*a**2\/3 + 25294*a\/3 + 143570\/3.\nAnswer: 2*(a - 293)*(a - 49)*(a + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5705 or 5700?\nAnswer: 5705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298614752.\nAnswer: 2, 9331711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -351, -670, -989, -1308?\n\"Answer: -319*v - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-24) - 6\/8. What is the biggest value in -1\/7, o, -1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2. Let c(p) = 403*p**2. Give c(n) - 186*k(n).\nAnswer: 31*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2025 + 0*g + 2021 + g**4 + 2*g - 4*g**2 in the form l*g + a + i*g**2 + q*g**4 + w*g**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14 and 294.\nAnswer: 4116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 605379935 and 775.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 1 - 11. Let b be (30 - d\/2) + 0. Let m = b - 21. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.142875km to meters.\nAnswer: 7142.875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 384*j - 67676. Give y(175).\nAnswer: -476","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113 - 48 - 9 + 47 - 3*y.\nAnswer: -3*y - 123","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 264, 528, 792?\nAnswer: 1056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1528 bigger than 1535?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4302 + -4255. Calculate the remainder when 143 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 12:21 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -169 + 109. Let c = 87 + u. Suppose -2*v + c = -v. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -340.10201 to 1 decimal place.\nAnswer: -340.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + 0 - 31 - -13.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42250996 a multiple of 278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -1658*a + 12853. Give k(9).\nAnswer: -2069","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrvrrrrrrrrrrrrr. Give prob of sequence rrrv.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -15, -10, -1, 12?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2 - 1. Let k be c(1). Let t be ((-46)\/5)\/(288\/(-80)) - 8\/(-18). Suppose -27 = -2*j - 2*g - 1, -j = -t*g - k. Solve 5*n - 3*n - j = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*m - 67*m + 22*m**2 - 70*m + 9*m**2.\nAnswer: 31*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 560, 1169, 1780, 2393?\n\"Answer: r**2 + 606*r - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 164, 269, 374, 479, 584?\n\"Answer: 105*u + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12397957 to the power of 1\/3, to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (-1)\/(-3) + (-1045)\/(-15). Suppose -3*n + h = 2*q - 195, 3 = -n. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(18)\/sqrt(9)*6 + 0).\nAnswer: -36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2292\/27)\/((-40)\/(-110) + (-14)\/99). Solve -356*h + k*h = -104 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1930 + -15439\/8. What is the closest to -1\/4 in 30, q, -0.4, -8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, q: 8, l: 4}. What is prob of sequence qq?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2440995 is divided by 804.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -f. Let p be f - (1 + -1) - -396. Calculate the common denominator of 1010\/p + 4\/18 and -29\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -117\/5 + 341\/15. Sort 45, w, -0.9.\nAnswer: -0.9, w, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 178 and 2937.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 19*a**2 - 6*a + 10. Determine b(3).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4*l - 1. Suppose 5*x + 42 = q, -4*q - x + 143 = 4*x. What is the remainder when q is divided by i(-5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 14592358?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/((-26312)\/46)*-902.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 p when four letters picked without replacement from {p: 7, r: 5}?\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -183334272.8 rounded to the nearest 100000?\nAnswer: -183300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/((n*n**(12\/11)\/n)\/n))\/n**(-2\/65) assuming n is positive.\nAnswer: n**(1387\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 141.5473323 to one dp.\nAnswer: 141.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4*z**2 + 24*z - 7. Suppose 2*l = -3*f - l - 39, 2*f - 5*l = 9. Let u be m(f). Calculate the highest common divisor of 3 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 310? (a) 2\/17 (b) 2\/3 (c) -3 (d) -6 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-7)*h**(-3)*(h**0)**(-6)*((h\/h**(-4))\/h**(-2))**(15\/7) assuming h is positive.\nAnswer: h**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 19*z**2 + z + 4. Let m be p(0). Suppose b + 3*b + 209190 = -2*l, -20 = -m*l. Round b to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(33)\/(3*sqrt(33)\/sqrt(3)) + -4*(4 + (sqrt(12) - sqrt(3)))))**2.\nAnswer: 5632*sqrt(3)\/3 + 14224\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 916 = -4*i - 10*h, 0 = -2*i + h + 455. Suppose 19*s - i = 7*s. Solve 3*t + m + 11 = -3*m, 3*t + s = 4*m for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j + 101. What is m(23)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*1*1 + -2. Let y be (15\/(-3))\/(b + -1). Let l(q) be the third derivative of -q**5\/60 - q**4\/4 + q**3\/6 + q**2 + 9. What is l(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -2)\/(-4 + 5). Suppose 0 = 3*a - n*a - 231. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.8638104 seconds?\nAnswer: 863810400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 11379, 15446, 22229, 31734, 43967?\n\"Answer: r**3 + 1352*r**2 + 4*r + 10022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + -6. Let s = o + 12. Let x = s + 2. Sort -1\/5, 0.5, x in increasing order.\nAnswer: x, -1\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 66*k**2. Let x(o) = -o**2 + 454. Determine x(z(l)).\nAnswer: -4356*l**4 + 454","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3*(867248\/60 + (-4)\/(-20)).\nAnswer: 103, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/9 - 196*t**2 - 17680*t.\nAnswer: -2*t*(t + 102)*(t + 780)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*c - 49*c + 46838. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -l**4\/8 - 43*l**3\/6 - 58. Find k such that c(k) = 0.\nAnswer: -43, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -s**4\/12 + s**3\/2 + 2*s**2 - 28*s. Determine k(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, q: 4, d: 2}. What is prob of sequence qd?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -15 + 10. Suppose 0 = 2*p, b - 1 = p + r. What is the derivative of 3*l**b + 15 + l**2 + 3*l**2 wrt l?\nAnswer: 14*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5129 * -1.15.\nAnswer: 5898.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 25*k + 269. Give n(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/372 and -5\/3596.\nAnswer: 10788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(-6) - (-4370)\/228. Let b be (22\/5)\/(1\/25). Calculate the greatest common divisor of b and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 181, -1, -2, -254 in descending order.\nAnswer: 181, -1, -2, -254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5005453 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -12*w**3 - w**4 - 1\/30*w**5 + 0*w - 3*w**2 + 3. Determine k so that a(k) = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-93)\/(-4) + 6\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 235609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3114 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 360 = 369 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 12*d**2 + d + 1. Let r be t(-1). Suppose -s - r = 3*u, 0*s - s = -4*u - 9. Is 39 + (-2 - s)*-2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -259 times -0.4\nAnswer: 103.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.89 rounded to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**2 + 36*m + 69. Let o(u) = -u**2 - 12*u - 23. Let a(d) = 2*l(d) + 7*o(d). Let z be a(-9). Solve -5 = -z*c - c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 1\/2 (c) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -254*q - 359 - 2*q - q.\nAnswer: -257*q - 359","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 217198, 868742, 1954650, 3474922?\nAnswer: 5429558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 11:53 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18.86 in -0.3, -0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/49886 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c + 4*c + 0*c)*(-4*c**2 + 2*c**2 + 0*c**2) + 3*c**3 + 0*c + 0*c as w*c**2 + f*c**3 + n*c + t and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.629682 rounded to 1 dp?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3 - 5 = 0. Let v = -666 - -667. What is the greatest common divisor of d and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -48*n. Let h(g) = -4*g + 1. Determine -f(b) + 2*h(b).\nAnswer: 40*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, h: 4}. What is prob of sequence hlhh?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 169 + -89. Calculate the greatest common factor of 60 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5775 a factor of 254914275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 332?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1631073708 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*b - 39 + 95 + 70. Solve -p = 4*g - b, -4*g + 11 = -p + 10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 734244 or 734243?\nAnswer: 734244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (k + 3*k - 2*k)*(3 - 2 - 4) + (-47 + 47 - 25*k)*(-2 - 3 + 3) as z*k + q and give z.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*s + 1035 = -33*s. Let z = -131 - s. Let a(l) = 10*l**2 - 10*l + 16. Suppose -3*n + 2 = -13. Let w(i) = 3*i**2 - 3*i + 5. Give n*a(x) + z*w(x).\nAnswer: 2*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 3:28 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f + 9. Let d(w) be the first derivative of -3*w**2\/2 - 17*w - 75. Calculate 3*d(v) + 5*g(v).\nAnswer: v - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of x**8\/140 + x**4\/2 + 2*x**3 + 8*x. Let t(k) be the second derivative of m(k). What is the derivative of t(d) wrt d?\nAnswer: 48*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o + 52. Let f be t(16). Find the third derivative of -f*r**5 - 4 + 3 + 46*r**5 + 4*r**2 + 44*r**5 wrt r.\nAnswer: 1320*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -21.8654322.\nAnswer: -21.8654322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11000 (base 3) in base 7?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 17960, -0.42, 21, 5\/3, 0.2?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -4*y + 2*y - 344, 3*g - 3*y - 342 = 0. Suppose 5*c = -g + 141. Solve -c*q = -8*q - 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15843 is divided by 117.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9 - 3) + 0 + 14. Sort -19, 0, 4, w.\nAnswer: -19, 0, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 890*k**2 - 1760*k**2 + 886*k**2.\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 4 + 1\/2*k**2 + 0*k. Let c(m) = 4*m**2. Determine s(c(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/6)\/(3 - (-284)\/(-96)). Let y be (g\/6)\/(68\/(-102)). Solve 6 = -h + y*o, -o + 3 = h - 0*o for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, -3, 1\/3.\nAnswer: -3, -0.06, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 15*l - 11. Let z be (-1 + 4)*(5\/3 - 0). Suppose 0 = -3*n + 15, -85 = -z*s + 3*n - 8*n. What are the prime factors of i(s)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1059, -2245, -3419, -4581, -5731, -6869?\n\"Answer: 6*k**2 - 1204*k + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/4*(6 - 2). Suppose -3*h + d*h - 3 = 0. Let n = 1\/82 - -157\/574. What is the third smallest value in h, -0.4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 220654?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 6:36 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -6 - (-4 + 5).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r. Let n = 1 + 1. Suppose p + n = 3. Let y(s) = 1 - p + 2*s**2. Give c(y(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -712*p + 711*p - 11 = -5*x, 8 = 2*p. Solve 0*y - 2*y - 12 = -2*r, x*y + 28 = 5*r for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 268 + 12*s - s**2 + 18*s + s**3 - 32*s. List the prime factors of b(0).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4*y + 10, -2*y = 5*z - 46 + 11. Let l(x) = x - 4*x + y*x + 2. Let m = -20 - -18. What is l(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -2. Suppose -m*t + 15 = -17*t. Let z be ((-2)\/(-21))\/((-5)\/t). Which is the fourth smallest value? (a) 7 (b) -2 (c) z (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.678504156 rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 5162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18 + 6241?\nAnswer: 6222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9617*v**2 + 9617*v**2 + 3*v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/8*((-16)\/12)\/((-27)\/(-6))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.9 + -2.5. Let t = -2.399994 + w. Round t to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*-3*(-2)\/(18\/15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*v**2 - 159*v**2 + 77*v**2 + 2*v**3.\nAnswer: 2*v**3 - 25*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 66*n - 52928 - 782582. List the prime factors of n.\nAnswer: 2, 6427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-136)\/(-16) - 2\/4. Suppose l = -2*v + 39, -v = 2*l - 11 - 52. Suppose f - l = -3*b. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 4, -5\/3, -1, -4 in descending order.\nAnswer: 4, 1\/6, -1, -5\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of i**3\/3 - 9*i**2\/2 + 11*i + 2. Let v be d(8). Solve 2*u + 4 = a + 4*u, -v*a = 2*u for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-99)\/(-5) + 1 - 16\/20. What is the remainder when 32 is divided by 12\/x + (-27)\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7038 and 183651?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -396 - -738. Suppose 2*o = -o + l. Suppose -2*y = -0*y - o. List the prime factors of y.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/10*(-3)\/4. Let k = -66 - -66.05. Let y = 5.4 - 5. What is the second smallest value in k, y, m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4511?\nAnswer: 13, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -156327?\nAnswer: -156325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/18 + (-95)\/(-45)*-2. Put 2, k, -3, -5 in ascending order.\nAnswer: -5, k, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.08, -5\/268, 0.4, -0.4, 5\/3, -0.296, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {p: 6, n: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7\/4 + -39\/20. What is the biggest value in -0.5, -0.4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 333*l - 6133. Give b(-21).\nAnswer: 419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -129*h**2 - 8*h - 12. Let l(g) = -43*g**2 - 3*g - 4. Let u(x) = 11*l(x) - 4*z(x). What is the tens digit of u(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1121 - -1174. Calculate the remainder when x is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -547 + 738. What is the remainder when j is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 4*o + 1. Let a be u(-5). Find the common denominator of (a\/21)\/((-24)\/(-1498)) and (-83)\/(-9)*2\/4.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-76 - -85) + -3 + (5239 - -3)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 50*v**2 + v. What is i(1)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9825.464 litres to millilitres.\nAnswer: 9825464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 22477869.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11211111 - -10202?\nAnswer: 11221313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or 1\/6615?\nAnswer: 1\/6615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 347 + -347.5. What is the second biggest value in w, -3, -14?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4188 + -2620. Suppose -15*i = -i - s. Is i a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0477 - 0.0497. Round d to three decimal places.\nAnswer: -0.097","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**2 + 6*l + 2. Let f(r) = -4*r**2 - 7*r - 3. Let i(h) = 5*h + 6*h - 6 - 12*h. Let a be i(-11). Determine a*n(b) + 4*f(b).\nAnswer: -b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -76*t**2 - 3507*t - 504. Calculate q(-46).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 138*d + 1 + 135*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42751 + 298765\/7. Let r = u + 70. Let p = -1.2 - -1. Which is the nearest to r? (a) 0 (b) p (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/136 and -13\/47311.\nAnswer: 378488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/6*288\/96.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191138*q**2 + 27303*q - 27303*q + 191147*q**2.\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-200)\/(-350))\/((-12)\/(-14)). Determine q, given that -2\/15*q**2 - 10\/3*q**5 + p*q**4 - 32\/15*q - 8\/15 + 82\/15*q**3 = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 30 = -3*j - 2, -j + 3*i + 20 = 4*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4452 - -10862. Suppose 0 = 3*i + z - 3193, 0 = -5*i - 4*z - 1079 + r. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80541166?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is 48.6 minus 598052811?\nAnswer: -598052762.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 869409 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*y = -72*y - 1012. Suppose -72 = -y*q + 80*q. Let o(d) = -2*d**2 - 6*d - 2. Let m(n) = -2*n**2 - 5*n - 2. Calculate q*m(z) - 5*o(z).\nAnswer: -2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 22651*-0.21\nAnswer: -4756.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/2391 or 1?\nAnswer: -7\/2391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 5*o - 4*x - 1, 5*x + 5 = 3*o. Suppose j - 17 - 8 = o. Suppose 0 = -2*f + r + 10, 6*f - r - 15 = 3*f. Solve 0 = -0*w - f*w - j for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(2 + 20\/(-6)). Let b be 9\/f*(0 + 4). Is (b\/12)\/((-2)\/40) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 8:24 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 81 + 26*a - a**3 + a**2 + 27*a - 63*a + 9*a**2. Let u be b(12). Is u at least -328?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(14\/(-4) + 4). Let w(i) = -3*i + 1. Is w(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*1\/(-1)*1. Let m(y) = y**3 + 23*y**2 + 18*y - 87. Let l be m(-22). What is the nearest to a in 4, l, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8.189 and -15381?\nAnswer: -125955.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -166 divided by 127145?\nAnswer: -166\/127145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -230*w - 1611. Determine r(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/88*-28*20\/2905?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 6*x - 4 = 2*x, x = -5*a + 20. Let j(d) = -6*d - 5*d - 6 + 4. Let u be j(-2). What is the highest common divisor of a and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -130077317*a**5 - 550621237*a**2 wrt a.\nAnswer: -7804639020*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43375 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3858*o - 3902*o + 308 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence knj when three letters picked without replacement from nvakeej.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-30))\/((-1)\/(-3))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 501, 5, 87, -61 in increasing order.\nAnswer: -61, 5, 87, 501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 201\/11 + -2349\/143. Let y = h + -482\/247. Which is the nearest to 1? (a) y (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vjvvjvykvjvjvjgjvgv. What is prob of picking 1 k and 1 g?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -7 + -1 + 5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + h - 4. Give y(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10540400, 42161494, 94863318, 168645872?\nAnswer: 263509156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t. Let z be b(1). Factor 3*c + 4 + 4 + 0 - 6 - 2*c**z.\nAnswer: -(c - 2)*(2*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 190*c - 382*c + 24 + 191*c to t*c + l and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1139681292?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 134838 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6347422 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4818?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 119*j**2 + 739*j + 1479. What is v(125)?\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 26 - 365 = -3*v, -2*i + 498 = 4*v. Solve -v*a + 136*a = -18 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -13 - (12 - (9 - -9)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138644, 276071, 413498?\nAnswer: 550925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52.5 - 52.721. Let a = p + 0.221000356. Round a to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 2.43207.\nAnswer: 0.729621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/92395 and 87\/80?\nAnswer: 1478320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11101 + -11?\nAnswer: -11112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 94, 84, 60, 16, -54, -156, -296?\n\"Answer: -d**3 - d**2 + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -3*t**5\/10 + 11*t**4\/12 + 4*t + 11. Let i(x) be the first derivative of g(x). Find the third derivative of i(s) wrt s.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 7*z + 4 = 0. Let o = 13 - 62\/5. Is z greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -q - q + 400, -4*q + 828 = -3*o. Let l = -83 + q. List the prime factors of l.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k + 1. Let u be p(2). Let m be -4 - (270\/(-12))\/5. Which is the smallest value? (a) 2\/11 (b) u (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 11:49 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -26*k**3\/3 - 2057*k**2\/3 + 1843*k\/3 + 80 = 0. Calculate k.\nAnswer: -80, -3\/26, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 15, -c = 3*c - 4*h + 12. Suppose x = -f + 14, -c*f = -x - x + 48. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 9, l: 5}.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.92894ml in litres?\nAnswer: 0.02692894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 48.3 or -1564\/59?\nAnswer: 48.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10001102?\nAnswer: 2, 5000551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-57)\/(-9) + (-6)\/18. Suppose -q + 3*l + l = -80, 0 = 4*q + 2*l - 374. Suppose -i*x = -2*x - q. Calculate the remainder when 45 is divided by x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3251*p**2 - 17*p - 23.\nAnswer: -6502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 9:45 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -5. Let k be 3\/6 + 36\/8. Let j(t) = t - 3. Let y be j(k). Solve -u - w*d + 1 = -0, 0 = 4*u - y*d - 24 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7a3334 (base 13) to base 15.\nAnswer: -3c1c6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 17*n**2 + 44*n - 32. Let h be p(14). Let y be -7 - 8345\/(-2781) - 16\/h. Is 1 != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.11, -0.025, 0.4, 0.5, 3\/2.\nAnswer: -0.025, 0.11, 0.4, 0.5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 12*p**2 + 10*p - 37. Determine c(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -12 in increasing order.\nAnswer: -12, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -2*j - 4*b - 20, -5*j - b - 20 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-62)\/6 - 1\/(-3). Let a be (0 + 1 - -4)*78\/c. Let j = 71 + a. What is the remainder when 125 is divided by j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -47*h**2 - 3*h - 4. Give a(-2).\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.507 - -1.43. Let v = 0.152 + s. Let f = v + 0.775. What is f rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - g**2 + g - 5. Let c(b) = 5*b**4 - 85*b**3 + 120*b**2 - 75*b + 175. Let l(s) = c(s) + 35*x(s). Factor l(a).\nAnswer: 5*a*(a - 8)*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1980 and 11220.\nAnswer: 33660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18516 is divided by 44.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -28*t**3 - 4*t**2 + t + 24. Let o(v) = 29*v**3 + 6*v**2 - 2*v - 23. Let g(y) = 3*o(y) + 4*r(y). What is the second derivative of g(b) wrt b?\nAnswer: -150*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 456 = 4*i + 2*i. Let d = 2 + i. Suppose -d = -5*w + 57. Calculate the greatest common factor of 9 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 155.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g**2 - 1488*g - 9072 = 0. What is g?\nAnswer: -6, 378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2 = -2*i - 6*l, -10 = -2*i - 5*l. Let w be (1\/(-6))\/((-2)\/(-8)). What is the nearest to -1 in w, 1, i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 21*w**2 + 46*w + 48. Give n(-23).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 4 + 0)*(-4 + 2 + 1) + 2 + 3 - 1)*(-25*q**3 - 4*q**3 + 6*q**3) as n*q**2 + j*q**3 + w + d*q and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 115395 - 115519.091. Let b = -124 - u. Let g = b + -0.09452. Round g to four dps.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + z + 91*z**3 - 23*z**4 - 3*z - 93*z**3 as o*z**3 + i + l*z + g*z**2 + y*z**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**4 - 2 - 516*c + 515*c - 11 wrt c?\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -4 + 8 + -4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3515055 and 267.\nAnswer: 3515055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50.2 - 50. Let j = -1.2 - -1. Let l = j + 0.1. Which is the third biggest value? (a) 0.5 (b) l (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.62 + -0.581. Round l to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1107 (base 11) in base 16?\nAnswer: -5b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -l + 4*b, b = 3*l + 4*b - 117. Let d = l - 39. Let a be 2 + (1 - d)\/(6\/(-6)). Solve -4*r = -2*c, 5*c - 3*r = a*r + 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 666 - 626. Solve 0 = -47*q + v*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 x when three letters picked without replacement from zdxdzzddxzdxzzzddz?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 740 * 746528\nAnswer: 552430720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56 - (-101 + 10)) + 1 + -7?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 341 - 856. Let n = 854 + i. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 8655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 2)*5\/(-15)*2. Suppose 5*g + j = -0*j + 225, -3*g + p*j + 148 = 0. Does 3 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14372 is divided by 2217.\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 613, 637, 699, 817, 1009?\nAnswer: 1293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5a1d + 19?\nAnswer: 5a36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*t - 60 - 59 = -20 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**(-8)))\/s**(-13))\/(s\/(s\/(s**9*s)*s*s)*((s*s**(2\/41)\/s)\/s)\/s) assuming s is positive.\nAnswer: s**(613\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -5*j**2 - j - 2. Let t be f(2). Let z = 1488 + -1005. Let d = z + -484. Which is the biggest value? (a) t (b) 0 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/11, -1, -1\/9, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -2*v + 18 - 12, -4*f - 14 = -5*v for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13548939?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j**2 - 5*j - 1. Let m be u(-4). Let l = m - -81. Solve -5*a + 4*k = 36, -k = 4*a - 6*k + l for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u - 6. Let c be t(7). Let b = 5 - c. Solve 2*w + 6 + 4 = b*q, 7 = 4*q + w for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -2, 2\/5, 823 in descending order.\nAnswer: 823, 3, 2\/5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -12\/137 and 8?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72, -55, -26, 21, 92, 193, 330?\nAnswer: 509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103431 divided by -5.\nAnswer: 103431\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -0.0957\nAnswer: -0.0957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/7 - 2\/7*x**3 - 16\/7*x + 10\/7*x**2.\nAnswer: -2*(x - 2)**2*(x - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2015 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 144607497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 6*j = 123*a - 128*a - 45, -2*a - 548 = -22*j for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 17*f**2 + f - 1. Let i(u) = -218*u**2 - 8*u + 8. What is 2*i(s) + 26*j(s)?\nAnswer: 6*s**2 + 10*s - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/(-14)*12\/18*-2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -246 + 45*k**2 + 246 + (1 + 0 + 1)*(-3*k**2 + 3*k**2 - k**2) - k + k**2 - 5*k + 3*k.\nAnswer: 44*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*z = -26, 6 = -2*j + 2*z + 26. Suppose -j*h = -3*h + 3. Let u = -1 - h. Solve 3*c + 2*c = u for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 491*x - 2*x**2 + 800*x + x**4 + 2*x**3 - 370*x + 4 - 4 to p*x**3 + o*x**4 + q + n*x + a*x**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 1:32 AM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -177 and -52.\nAnswer: -229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2713*m*n**3 + m*n**2 + 2*m*n - 30*m + 10*n wrt n.\nAnswer: 16278*m*n + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c. Let f be s(-3). Let m be (-12700)\/(-12)*1\/(f\/(-108)). What is m rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 6:30 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 345\/(-276) - 84\/648*(-5)\/(30\/99). Let 0*g**4 + k*g**3 + 0*g - 2\/9*g**5 + 0*g**2 + 0 = 0. Calculate g.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*l - 219 = 42, -x + 2*l + 131 = 0. Let c = 2514 + x. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = q + 3. Find the common denominator of ((-27)\/(-30))\/(6*q) and ((-18018)\/840 + 21)\/((-6)\/(-28)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30\/787 - -74825\/1574. Which is the third biggest value? (a) x (b) -1 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2 + 2*n + 7. Let t be d(5). Let r = t - 30. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-1))**(-37)\/((n**(-2\/7)\/n)\/n*n*n**(-2\/23)))**(-17))**48 assuming n is positive.\nAnswer: n**(-5041248\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13606 is divided by 1235?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(2592))\/(sqrt(9) - 4*sqrt(1296)).\nAnswer: -48*sqrt(2)\/47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9752 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -39 in -2\/171, -0.2, 0.2, -0.01?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -220014 (base 5) to base 3\nAnswer: -101022010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2332\/300 + -8)\/(60\/50) and 107\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + 321311301?\nAnswer: 321311313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 + 0*i**3 - 2*i**3)*(0*i + 3*i - i) + ((-3 + 2 + 3)*(0*i**2 + 3*i**2 - 5*i**2) - 7*i + 43*i - 21*i**2 - 44*i)*(0 + 0 - i**2).\nAnswer: 23*i**4 + 8*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -161\/3 - -54. Let c = 0 + 2. Let t be 3\/(-9)*(c - 1). Is i >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/4 and 13\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 23*v + 23*v = -9*o - 27*v + 68*v - 30, v = 0 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 407017*w**2 - 4999*w?\nAnswer: 814034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/10)\/((-2)\/(-30)). Suppose -6*z = -v*z - 186. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 213*o**3 + 17*o**2 - 11*o - 4. Let p be x(1). Calculate the greatest common divisor of p and 688.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + l + 7962 = 0, 1740 = -5*g + 4*l - 6212. Let c be g\/24 - 8\/12. Suppose 2*v = -87 - 49. Is c != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-248)\/16)\/((-2)\/4) + -1. What is the tens digit of 186\/v + -6 + 358\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 1511*f + 12181. Determine d(-8).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-188)\/(-231) - (-102)\/1071.\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 14*f - 12. Let u be w(11). Suppose 2*v - 9 = y, y = -5*v + v + u. Solve 0 = 2*b + 3*o - 8, -b - v*o = -10 - 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**3*j - 4768*c**3 + 3*c**2*j + 3*c**2 - 2*c*j - 2*c - j + 247 wrt c?\nAnswer: 12*c*j - 28608*c + 6*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 + -2 - (6 + -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 0.3, 8 in descending order.\nAnswer: 8, 5, 0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 10:39 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 355080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -4.1 (c) 1294\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.7 + 4.02. Let g = -0.56 + y. Which is smaller: 2\/3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-3) + (-24)\/36. Suppose -v = 3*p - 2*p - 3, 0 = -p + 3*v - 9. Let z be (p*a\/3)\/(-1). Solve h + 0 + 1 = z for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c + 5, 4*c - 4 = 3*t - 0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*f + 22285 + 121115. Round f to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-11))**(-2\/11)\/(v**(5\/4))**33 assuming v is positive.\nAnswer: v**(-157\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 5*l - 191, 0 = 7*l - 2*l + 10. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 49*l + 498. Let x be n(-14). What is the least common multiple of -2*(-3)\/x + 3402\/168 and 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j*q**3*v**2 + 27*j*q**3 + 316*j*q - 2*j*v**2 + j*v + 2*q**3*v**2 - 4*q**2*v + 2*q*v**2 wrt q.\nAnswer: 12*j*v**2 + 162*j + 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/7, -0.4, 1\/7, -1, -2\/39?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15 + 45?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -89*h + 38*h + 9*h**3 + 48*h - 3*h**2 to the form t*h**3 + d*h**2 + c + p*h and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.29 - 2.39. Which is the closest to f? (a) 3 (b) -0.5 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1044905)\/(-357) + (-6)\/(-63) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 + 0*g**2 + 2*g**2 + 2)*(-4 + 5*g**2 + 4) + 127*g**4 - 433*g**4 + 134*g**4.\nAnswer: -167*g**4 + 10*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a = -3 - 9. Let t(p) = -97*p**3 - 2*p**2 - 3*p - 2. Is t(a) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of q**3\/6 - q**2\/2 + 71*q. Let w be x(4). Solve p - w*r - r = -15, -4*p = 2*r - 30 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2\/11, 8, -1 in descending order.\nAnswer: 8, -2\/11, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, x: 2, y: 1, i: 2, l: 3}. Give prob of sequence lyi.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 4 (c) 30 (d) 0.2 (e) -46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 x when two letters picked without replacement from kxxkxkx.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 5 - 5 + (1 - 5 + 3)*(0 - 3 + 4) - 1 - 6 + 2)*(1 - 2 + 3)*(-2*d - 3 + 3) to the form f + s*d and give s.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 698 is divided by 172.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**4 - 80*d**3 - 276*d**2 - 328*d - 128 = 0. What is d?\nAnswer: -16, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 3\/(14\/(-5) - (-48)\/16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 * 76.2\nAnswer: 2057.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9876 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7556 divided by -1889.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3 = 2*w. Suppose -w*x - 48 - 9 = -3*h, 73 = 4*h - 5*x. Calculate the greatest common divisor of h and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -113157, -113094, -112947, -112674, -112233?\n\"Answer: 7*c**3 + 14*c - 113178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 7*k**2 - 11*k - 16. Calculate the remainder when q(-7) is divided by (174\/(-8))\/(9\/(-12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 241 divided by -5\nAnswer: -241\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (0 - 0) + 13 - -1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (245\/98*(-4)\/(-10))\/((-4)\/12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109*-0.5.\nAnswer: 54.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -113225034*l**2 - 23645960*l wrt l?\nAnswer: -226450068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17005, -32634, -48263, -63892?\nAnswer: -79521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 163, 329, 499, 673?\n\"Answer: 2*r**2 + 160*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2541?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6*j = 3*j - 11, -4*j - 16 = 0. Let a be -2*b*(-3 + 2). Which is smaller: -4\/3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 216, 528, 1260, 2598, 4728, 7836, 12108?\n\"Answer: 31*u**3 + 24*u**2 + 23*u + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - (-2 + 8)) + (16 - 23).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*g**5 + 20*g**5 - 40*g**5 + 2*g**4 + (-g**3 + 0*g**3 - g**3)*(g**2 - 2*g**2 + 0*g**2) + 2*g**2 - 2*g**2 - g**5.\nAnswer: -37*g**5 + 2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(3\/2*359\/(-10770)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -18395 and -16.\nAnswer: -18411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 0 - (6 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 735 and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 43, 1, 1\/5, 0.4, 0?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnknnnknnnn. Give prob of sequence nnkk.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 397 + 256. Suppose 2*g + a = 3*x, -3*x = 2*g - 0*g - 637. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -5 - 15 - -10 - -5) + -15?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 52334453 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 2*x - 2. Let a be -1 + -1 - -4 - 0. Suppose 0 = -i - 0*i - a. Let d(h) = -h**2 - h - 1. What is i*f(c) + 4*d(c)?\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 292812 and 17940.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 15*q + 3*q - 10 - 4*q + 3*q - 7*q**3. Let y = -6 + 3. Let m(x) = -4*x**3 + 9*x - 5. Let u(j) = y*l(j) + 5*m(j). Determine u(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 7799*u**2 - 7806*u**2.\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(288)*3 - (0 + -2*sqrt(2) - -6*(sqrt(2) + 1))) + 1.\nAnswer: -1 + 32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40 + (-16944)\/(-432))\/((-4)\/6)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuvv when four letters picked without replacement from uvlvvvuuv?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**2 - 31*a - 18*a + 17*a + 107*a as k*a**2 + r*a + m and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*r - 924 = 69*r + 480 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 167.46 - -15.91.\nAnswer: 183.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*d - 126. Suppose 0 = 4*z - 6 - d. Calculate the highest common divisor of z and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l**2 + 515694*l + 1547074. Determine f(-3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -526571*w - 591522 wrt w.\nAnswer: -526571","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-13293)\/3165)\/((-1)\/(-5))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20196 and 10846.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 * 432\nAnswer: 259.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y - 22*y - 22*y + 250368 = 0. What are the prime factors of y?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 10*c**2 - 21*c - 7. Let x(y) = y**2 + 10*y + 23. Let j be x(-8). Let b be t(j). Let s = b - -19. Solve -s = -4*l - 32 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 1 = l, 3*i + i + 7 = 3*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -19, -1 in descending order.\nAnswer: 4, -1, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.55, 3, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1337 + 1?\nAnswer: 1338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l + z - 28, -4*z - 33870 + 34066 = 5*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4 = 4*y, -3*p - 3 = -5*y - 0. Let o be (46\/p)\/((-3)\/6). Let a = 23.34 + -21.34. Which is smaller: o or a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**2 + 25*w - 46. Let d be l(10). Put -2, 42, d in decreasing order.\nAnswer: 42, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2709853375 a multiple of 3875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 greater than or equal to 7115\/258?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rlj. What is prob of sequence jr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -29, 0.3, 636, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k - 1. Let r be f(-2). Let 2*j**5 - 2*j**4 + 2*j**2 + r - 2 - 2*j**3 + 1 = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**4 - z**4 + 0*z**4)*(2*z + z - 4*z) + (5*z**4 - 5*z**3 + 5*z**3)*(0*z - 4*z + 5*z) + 6*z**5 - 2*z**5 - 2*z**5.\nAnswer: 9*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3143*y**2. Let i(g) = g. Determine i(n(r)).\nAnswer: 3143*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 6*z + 30. Let x be m(-5). Solve 0 = 3*i - 4*c - 17, x*i + 3*c + 11 = 4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 51*v**2 - 266*v - 183. Let h be w(45). What is the second smallest value in -2\/19, 1, -8, h, 0.076?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s**3 + 6*s**2 - s - 16. Let a be b(-4). Let x be (-6 - 2) + a\/(-14). Is 332 >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 + -24 - -16) + -9\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s + 11*s + 46*s + 674 = 2*j, j = -5*s - 48 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 >= 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (84\/(-16))\/(3\/4*-1). Solve -w*c - 22 = 13 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 2*b - 61, -3*k - 5*b + 45 + 4 = 0. Suppose -6*w = k - 25. Is 15\/7 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) - -5*2*sqrt(70))\/sqrt(10)*-6 - ((1*sqrt(252))\/(sqrt(72)\/sqrt(2)))**2.\nAnswer: -66*sqrt(7) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-15)\/(z\/z**(-1\/11))*(z**(-5\/7)\/z)**(-33) assuming z is positive.\nAnswer: z**(3117\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-1040)\/(-528))\/((-6)\/(-216)*6).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -109950, -219914, -329878?\n\"Answer: -109964*k + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(sqrt(90)\/sqrt(90) + sqrt(9) - sqrt(9)) - (4*(sqrt(13) + sqrt(52) + 0))**2.\nAnswer: -1872 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7524039 and 12381330?\nAnswer: 978125070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 9*m**3 + 2*m**2 + 6*m - 4. Let q be f(0). Which is the nearest to 0.1? (a) 22\/7 (b) q (c) 3\/5 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*f*p**3*y + f*p**3 + f*p**2 + 9*f*p*y + 9*p**3*y - 15*p**2*y + 2 wrt p.\nAnswer: -24*f*y + 6*f + 54*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 39 + 33. Let b be c\/(-9)*12\/(-8). Let u(v) = -14 + 5*v + b + 11. Give u(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 10:05 PM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4 + 926*a**3 + 214333*a**2 - 33336*a - 7717284.\nAnswer: (a - 6)*(a + 6)*(a + 463)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.10876 - -1.00876. What is the smallest value in 0.7, 0.112, y?\nAnswer: 0.112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45021 greater than or equal to 675322\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**4\/7 + 15180*n**3\/7 + 914593*n**2\/7 - 2941068*n\/7 - 548640 = 0. What is n?\nAnswer: -63, -1, 4, 15240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 68195249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 196\/14*(-36)\/70 - -7.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 117851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**(1\/16))*m**1)\/(m\/(m\/((m*m**(-3)*m)\/m))*m)**(-41) assuming m is positive.\nAnswer: m**(-639\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 71354.8417 + -6022?\nAnswer: 65332.8417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {q: 5, y: 8}?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17800998 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 17 - ((13 - (40 - 17)) + 22)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kwkwowwbowbwkww. What is prob of sequence ok?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 4:52 PM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 2002112231132?\nAnswer: 2002112231133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 286 = 5*k - 65, -4*k - 172 = -4*t. List the prime factors of (-11109)\/k + 2\/(-4).\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 31018332 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 212741, 424414, 636087, 847760, 1059433, 1271106?\nAnswer: 1482779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-11)\/o**(-19))\/((o*o**(-16))\/o**16))**9 assuming o is positive.\nAnswer: o**351","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101, -744, -3045, -7534, -14943?\nAnswer: -26004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*2*sqrt(135))\/sqrt(5) + -5 + 4.\nAnswer: -6*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 13*p**3 + 3*p**2 - p + 1. Calculate h(-2).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvaahvoarvavraahaav. What is prob of picking 1 v, 1 a, and 2 h?\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 378\/73 less than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -13, -10, -5, 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -181961, -181963, -181965?\n\"Answer: -2*k - 181959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 0 = s + 3*g, 0 = 5*g + 5. Let d = -19 + 21. Suppose 0*c = -4*z + c + 93, -d*c - 42 = -2*z. What is the greatest common divisor of z and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 709746294?\nAnswer: 2, 3, 17, 1013, 6869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -349, -351, -355, -361, -369, -379?\n\"Answer: -x**2 + x - 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 + 67 = 5*f + 3*m, -4*f + 4*m = -8 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 294389658?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.6382 + -46.2938. Let z = t - 0.068. Let m = 48.15 + z. Round m to 1 dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19623433?\nAnswer: 2851, 6883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67958 is divided by 2427.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 14*b**2 + 5*b + 8. Let t be z(6). Let w = t + 3401. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 53821, 100549, 147277, 194005, 240733?\n\"Answer: 46728*z + 7093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 286900 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -251*j = -95*j - 79 - 77. Put -123, 10, -5, 0, j in increasing order.\nAnswer: -123, -5, 0, j, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -26*h**2. Let m(q) be the third derivative of q**4\/12 - 208*q**2. Give m(o(s)).\nAnswer: -52*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 835 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*t + 22*t**3 + 68*t - 16*t.\nAnswer: 22*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3269737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 2*a + 1. Let k be u(-1). Let q be (3\/6)\/(54\/8). Are q and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15.931 and -1.1?\nAnswer: 17.5241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19095082?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 0 + 40 + -48.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -0*j + j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 2974578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 6*g**2 - 8*g - 1. Determine a(6).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 3*f + 5. Let u be g(4). Let a(j) = -j**2 + 23*j**2 + j + 14*j**2. Is a(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006 > 1006?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 543532\/16 + 595\/140?\nAnswer: 3, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f - 11. Let w(a) = 4*a**2 - 10. Give l(w(i)).\nAnswer: 8*i**2 - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 369*h**4*i**2*l + 2*h*i**2 + 11*h + 3*i**2*l + 2*l wrt h?\nAnswer: 4428*h**2*i**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 5*t + 6*t**3 + 190*t**2 - 2*t**3 + 4 + 196*t**2 - 385*t**2. Calculate the remainder when f(3) is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) -43 (c) -0.4 (d) 208 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a second in milliseconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -775150964*x**5 + 444514461*x**2 wrt x.\nAnswer: -46509057840*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -6*a + 8*a + 7 + 2*a**2 - 3*a**2 + 11*a. What is the tens digit of s(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -23*k + 37. Let z(i) = 23*i - 3. Let y(m) = 51*m - 7. Let l(o) = 4*y(o) - 9*z(o). Let f(b) = 3*b + 1. What is k*f(d) + 3*l(d)?\nAnswer: 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 25*o. Let i(c) be the first derivative of -c**5\/120 - 18*c**3 - 24. Let d(h) be the third derivative of i(h). Calculate s(d(l)).\nAnswer: -25*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/903353 and -61\/44.\nAnswer: 3613412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -75, -2 in descending order.\nAnswer: 5, 3, -2, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2284 divided by -1580?\nAnswer: -571\/395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -110\/3 + 37. Let s = -33\/2 + 17. What is the third biggest value in s, x, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4470096 to the nearest integer?\nAnswer: 2114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52 by -21604.\nAnswer: -13\/5401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5040 divided by 315.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*c**3*g**2 - 5*c**3*g - 10416001*c**3 - 79858*g**2 wrt g.\nAnswer: -4*c**3*g - 5*c**3 - 159716*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3806?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.75419 - 3207.85419. Round k to the nearest one hundred.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -162 in -5, 1\/3, -1.1, 0, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-87)\/9*-15 + (-9)\/3 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of p**6\/30 - p**4\/3 + p**2. Find the second derivative of k(h) wrt h.\nAnswer: 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a litre in millilitres?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 731*t = 14883 + 7047 for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 6*h**2 + 9. Let c be a(-6). Suppose 0 = -c*t + 4*t. Suppose t = -l + 3*d + 199, -l - 4*d - 203 = -2*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -432 + 522. Let o(r) = 10*r. Let l be o(6). Calculate the highest common divisor of l and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 107, 83607, -2, 3 in increasing order.\nAnswer: -2, 3, 107, 83607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 10.5. Let w = q - 8. What is the third smallest value in w, -4, -2\/17?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4753.5 - 4753. Sort x, 4, -188\/3 in increasing order.\nAnswer: -188\/3, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - r + 34 = 3*w, 8 = -2*w + 5*r. Let a(u) = 173*u - 10022. Let n be a(58). Calculate the highest common factor of w and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 146997 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n. Let r(t) = -12*t**2 + 27*t. Let o(q) = -46 + q**2 - 2*q + 46. Let d(u) = 54*o(u) + 4*r(u). Determine l(d(c)).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 133869\/51 - 48\/(-408)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/4664 and 81\/81456760.\nAnswer: 81456760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*o - 18 = 0, j - 2*o - 10 = -0*o. Suppose 2*h - h = j. Suppose 7*k - h*k = 8. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0.57 (b) -372 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 3*j + 2*j)*(3 + 2 + 0) + (j - j + 2*j)*(4 - 6 + 1).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -6*b. Let i(t) = 14*t**2 + 164448*t - 164448*t. Give q(i(x)).\nAnswer: -84*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 309408.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*g**2 - 8*g**2 - g - 5*g.\nAnswer: -34*g**2 - 6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 + 62 = -7*u. Let m = 11 - u. Solve -2*d = 4*c + m, c = 3*c - 5*d - 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from mfrffrt?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 315547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 2013 = 1684?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -177 - -344. Suppose 173*u - 3666 = v*u. Is u a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 230 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1937045387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25 plus 440.8?\nAnswer: 441.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 30 = -5*l, l - 4*f = 4*l + 14. Let u = 3 - 0. Put u, l, -2 in increasing order.\nAnswer: -2, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -25*s**2 + 22*s - 1 + 69*s**3 + 75*s**3 + 5*s**2 - 146*s**3. Determine c(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2 + sqrt(2)*-2)**2.\nAnswer: 8 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 37*m**2 - 53*m - 57. What are the prime factors of j(29)?\nAnswer: 3, 13, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50 + 149. Suppose 203*i - 400 = v*i. Calculate the greatest common divisor of 40 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 63*p + 6. Let g be x(5). What is the tens digit of 5\/(-10) + (-5)\/((-10)\/g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2013 and 99?\nAnswer: 6039","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -2*((-3)\/(6\/(-47)))\/(-1) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 12*w + 7. Let p be l(0). Let a(k) = -k**2 + 6*k - 4. Calculate a(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266728937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -51.79 * 91.\nAnswer: -4712.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from uuuuuuuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (105 + -131 - (1 + -1)) + 0 + -3?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1, -550\/7, -3, 0, 2\/9 in increasing order.\nAnswer: -550\/7, -3, -1, -0.3, 0, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (14140\/(-630) - (-10)\/(-18))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -51, -217, -493, -879, -1375, -1981?\n\"Answer: -55*z**2 - z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-168)\/16*((-1)\/((-12)\/(-56)) - -4). Solve -5*j = 5*i + 5, -i + 6*i + r = -3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1425580 times -0.2?\nAnswer: 285116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 a factor of 126319908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -52*g**3 + 517*g**2\/2 + 1471*g\/2 + 21.\nAnswer: -(g - 7)*(g + 2)*(104*g + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) + -2*sqrt(156))\/sqrt(12)*-1 - (4 + sqrt(637) + sqrt(13) + -5)**2.\nAnswer: -833 + 17*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 84688771 to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 40*a - 62. Let g be t(4). Calculate the greatest common factor of 1813 and g.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1\/420, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z + 3. Calculate u(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*y - 103*y = 39*y - 283 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xqqkqxqxqxqqqxk. What is prob of picking 1 k and 1 q?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2513*t + 5524.\nAnswer: -2513","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (-19 + 6)) + (-3 - -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 19.08511 nanometers?\nAnswer: 0.00000001908511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 4:52 AM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 4*l + 15 = i, -12 = -5*i - l. Let m be i\/(-6) + 10\/4. Let r(y) = y**2 - 2*y + 1. Determine r(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 4 - (-203 - -209)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -965.3014364 rounded to one dp?\nAnswer: -965.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*o**2*s**2 + 1374*o**2*s + 227*s**2 - 119*s wrt o.\nAnswer: -30*o*s**2 + 2748*o*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -71*n**2 - 3. Let r(v) = 2*v. What is r(t(x))?\nAnswer: -142*x**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -14206.2 times -1\nAnswer: 14206.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101122 - -10?\nAnswer: -101112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hp when two letters picked without replacement from pphhhpphhhppph.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (sqrt(11) + 2 + sqrt(1331)) - sqrt(11) - sqrt(99)*1)**2 - ((sqrt(132) + sqrt(132)*2)*-4)\/(3*-1*sqrt(12)).\nAnswer: 56*sqrt(11) + 2479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*i**3*q - i**3 - 104932*i**2*q + i**2 - 5*i - 1638 wrt q?\nAnswer: -3*i**3 - 104932*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 14 = -6. Let p(m) = -m**2 + m - 1. Let y(c) = -7*c**2 + 13*c - 10. Let h(j) = 6*p(j) - y(j). Give h(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 264.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 - 32*w + 2. Let g be k(16). Let f(j) = 13*j - 5 + 0 + g. What is the tens digit of f(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(3\/13)*t*t*t)\/t**(2\/7)*t*t*t**(-1\/6)*t*t**(-1\/2) assuming t is positive.\nAnswer: t**(1588\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 644 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -188 - 5. Let k = u + 273. Is 6 a factor of 78\/(-8)*k\/(-60)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 - 10. Let w be 12\/m*(78 + 0). Let j = w + -22. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234137117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of k**5\/20 - 4*k**4\/3 + 2*k**3 + 47*k**2\/2 + 4*k. Let z be v(15). Suppose 470 = -0*r + z*r. List the prime factors of r.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(88) + -1*sqrt(88)))\/(2*-1*sqrt(8))*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2 + sqrt(192) + -1 + sqrt(192) + sqrt(192) - (4*sqrt(3)*-1 + sqrt(3) + sqrt(3) + -1 + 3))**2.\nAnswer: -52*sqrt(3) + 2033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56457 and 6426.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 c, and 1 l when three letters picked without replacement from {a: 3, p: 2, r: 1, c: 8, t: 1, l: 3}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -6790*d + 49231. Determine t(7).\nAnswer: 1701","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.4 - -1.1. Let o = 8 + f. Let n = o - -1.3. Is -0.2 < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i*i\/i**(-1\/9)*i)\/i)**13*i**1\/(i\/(i*i*i**(-6\/13))) assuming i is positive.\nAnswer: i**(4912\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -520*o**7\/21 + o**6\/10 - o**5\/20 - o**4\/12 - 1687*o**3\/6 + 4238*o. What is the third derivative of w(f) wrt f?\nAnswer: -62400*f**2 + 72*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30150, -30151, -30152?\nAnswer: -30153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.8 - 1. Let f = k + 0.7. Let q be ((-18)\/(-20))\/(-1) + (-50)\/(-100). Which is the third smallest value? (a) f (b) q (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 - 51*m - 90.\nAnswer: -3*(m + 2)*(m + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 73.95643l?\nAnswer: 73956.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**2. Let a(m) be the second derivative of 0*m**2 - 2 - 41\/6*m**3 - 26*m. What is y(a(j))?\nAnswer: 3362*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112 and 2736.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8268 and 234?\nAnswer: 24804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.108087152 to 4 dps.\nAnswer: -0.1081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*b - 5*b - b.\nAnswer: 31*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.05853 and -60673.\nAnswer: -60673.05853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -5\/3*p**3 + 0*p**4 + 228 + 181\/2*p**2 + 1\/5*p**5 + 0*p. Find the second derivative of b(t) wrt t.\nAnswer: 12*t**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 1038794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -t**4\/24 - 3*t**3\/2 + 858*t**2. Suppose u - 4*p - 16 = -5*p, 4*u = -5*p + 67. Let d = 8 - u. What is n(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 814251 to the power of 1\/3, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 867061470 divided by 3.\nAnswer: 289020490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from iizzzzz?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q**(-4)*q))\/(((q\/(q\/q**(1\/2)))\/q)\/q*q))\/((q\/((q\/(q\/(q**(3\/2)*q)))\/q))\/(q*q**(1\/4))))**(-1\/5) assuming q is positive.\nAnswer: q**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, b: 1, r: 2, g: 2, j: 8}. Give prob of sequence ebrj.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 46*z**2 + 269*z + 1747. Determine m(-41).\nAnswer: -877","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/2 or -9.54391?\nAnswer: -9.54391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -67 (b) 5 (c) 2\/7 (d) -2 (e) 65.1 (f) -0.05 (g) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -471\/760 - -3\/152. Let t = d + 4\/15. What is the closest to 2 in 4, t, -1\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*f = -9806 - 2125 for f.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -7*h - 38. Let u(m) = -6*m - 38. Let q(z) = 5*k(z) - 6*u(z). Let o be q(0). What are the prime factors of 2\/3 + o\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -7*f - 11. Let a be h(-2). What is the third derivative of -15*k**3 - 8*k**3 - 27*k**2 + 5*k**a wrt k?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 0, 29, 5 in descending order.\nAnswer: 29, 5, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -325*i - 1947 - 4220 + 1292 = 0 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 88 or 87?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72089, 76418, 83633, 93734, 106721?\nAnswer: 122594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11 and -21.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -126.52 + 127. Let u = -34.58 + 34. Let c = r + u. What is the closest to c in -2\/3, 7, -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -5.4. Let v = 1.6076 - z. What is v rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*i - 1360 = 70*i for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in 3, 1, -4\/943, -0.6, 5?\nAnswer: -4\/943","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -82 - -94. Let i(t) = -36 + q*t - 5*t - 11*t + 40. Give i(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2323.67 + -2323.8. Put -0.2, -3, t, 66 in decreasing order.\nAnswer: 66, t, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2132133 (base 4) to base 13\nAnswer: -4803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3690 + -3685. What is the closest to 7 in 0.3, c, 5\/2, 0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29971 is divided by 365?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*l - 4 + 4 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 43*x**2 - 23 - 1650*x**2 + 179 - 129.\nAnswer: -1607*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*(j\/(j\/(j\/j**(1\/2))*j))\/j)\/((j\/(j*j**(3\/2)))\/j))\/(j**(-4)\/(j*j**(-2))))**(-11))**(-1\/14) assuming j is positive.\nAnswer: j**(55\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 12 = -y - 4*o, y + 3*o = 18. Calculate the least common multiple of 278 and y.\nAnswer: 2502","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7995656?\nAnswer: 2, 19, 41, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3263 + -3?\nAnswer: 3260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1016, 1021, 1034, 1061, 1108, 1181, 1286, 1429?\nAnswer: 1616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -22, 0, -10, 2, -3, -25 in descending order.\nAnswer: 2, 0, -3, -4, -10, -22, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/40)\/((-1017)\/1695).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(1981*j + 1866*j - 706*j + 1484*j + 539*j).\nAnswer: 10328*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -289 < -63\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4513.76 times 1.2?\nAnswer: 5416.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-10) + (-20)\/(-25). Let t be 3*((-7)\/(-6) - j). Let f = -447\/2 - -223. Which is the nearest to t? (a) 2\/19 (b) 0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 19158 and 67299299.\nAnswer: 67318457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 14 + 5 = 0. Suppose -f - k = 0, 3*f + 2*k + 20 = d*k. Let j = f + 30. Solve -a + j = -6*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/3*(-12)\/(-4)*1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18\/12)\/(36\/(-16) + 3). Suppose 4*y + 2*g - 10 = 7*g, -y + 1 = -2*g. Put m, -2, y in ascending order.\nAnswer: -2, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140975*q + 281952*q - 140976*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 87086121 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -23*i. Let x(r) be the first derivative of -4*r**3\/3 - 731. What is x(c(y))?\nAnswer: -2116*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**6*r*r)**(2\/41)\/(((r**18\/r)\/r)\/(r*r**(-1\/26))))**2 assuming r is positive.\nAnswer: r**(-15615\/533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(119)*-4)\/(sqrt(70)\/(sqrt(70)\/sqrt(7))).\nAnswer: -20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 52 (b) -7 (c) 3\/4 (d) 5 (e) -1\/7 (f) -250\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201 - -12?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -61\/22118?\nAnswer: -61\/22118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2110 and 80?\nAnswer: 16880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(52))**2*2 + (sqrt(13) - (sqrt(13)*1)**2*-3 - sqrt(13)) + 1*sqrt(52)\/sqrt(4).\nAnswer: sqrt(13) + 143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 477 is divided by 38?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2769*f**4 - 4*f**2 + 176*f.\nAnswer: -66456*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153*m**2 - 398*m**2 + 86*m**2 - m**3 + 158*m**2.\nAnswer: -m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by (-21)\/(-7) + (2 - -20).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6, -29, -78, -135, -194, -249, -294, -323?\n\"Answer: i**3 - 13*i**2 - 3*i + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*g - 13*g - 60*g + (1 - 1 - 1)*(7*g - 3*g - 2*g))*(3 + 2 - 4)*(-16 + 11 + 4*g**2 - g**2).\nAnswer: -255*g**3 + 425*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -996296 and 5.\nAnswer: -996291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 5*m + 3. Let j be p(-5). Let n(s) = 10*s**2 - 12*s**2 - 3 - 8 - 4*s + 6*s + 7. Calculate n(j).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7380, -7234, -7088, -6942, -6796?\nAnswer: -6650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.75 - -3.75. What is the third smallest value in b, 2\/35, -1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -20*y - 5. List the prime factors of h(-2).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 682 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 l, and 1 k when three letters picked without replacement from {a: 6, l: 2, o: 6, g: 2, k: 1}?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -81.7 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 + 2*m - 2. Let p(w) = -103*w**2 - 5*w + 6. What is -p(a) - 3*s(a)?\nAnswer: 97*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20072*v**2 - 482*v**3 + 20072*v**2)*(v - v + 2*v).\nAnswer: -964*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1225 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*t**6*w**2 + 645*t**3*w**2 - 1367*t**2*w**2 wrt t?\nAnswer: -240*t**3*w**2 + 3870*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/5)\/(16\/360))\/(-3)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**2 + 2*z**2 + 3*z**2 + 4*z**2 - z**2 - 5*z**2 + (4*z + 7 - 7)*(-z + 0*z - 2*z) + 0*z**2 + 0*z**2 + 4*z**2 to d*z + f + n*z**2 and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 5. Sort -2, i, -4 in decreasing order.\nAnswer: -2, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11 - 10\/60*66. Is 9\/17 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 - -1 - (967 - 960)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 0) + (5 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2878 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, l: 13, a: 3}. Give prob of sequence alal.\nAnswer: 13\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqzzzqzzhzzz. Give prob of picking 3 q and 1 z.\nAnswer: 32\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a century in months?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3690*l**5*t - 142*l**3*t + 3*l**2*t + 1492*l**2 - 4*l*t - 7*t wrt l.\nAnswer: -221400*l**2*t - 852*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 190.7, 15.3, -1 in decreasing order.\nAnswer: 190.7, 15.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - (-46)\/(-14) - 16\/(-56). Which is the closest to g? (a) 4 (b) 3\/2 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -37, -45, -57, -73, -93, -117?\n\"Answer: -2*h**2 - 2*h - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.9 and -0.40199.\nAnswer: 1.165771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -85 - -107. Calculate the greatest common divisor of 352 and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 450 and 11100?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 26*y**2 + 46*y - 32. Give m(-24).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 1:00 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.11 + 4.11. Let g(j) = -4*j - 35. Let t be g(-10). Which is the closest to 3? (a) t (b) -0.2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6132, -12270, -18410, -24552, -30696, -36842?\n\"Answer: -h**2 - 6135*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -53 - (9 - -34 - 87)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6645, 6808, 7043, 7356, 7753, 8240, 8823?\nAnswer: 9508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17516 is divided by 50.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -9*q + 33. Suppose -5*s + 130 = m, -q*m = -s - s + 52. Let o(d) = 4*d + 1. Let n be o(6). Is n at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2111022122 - 1?\nAnswer: -2111022200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16c + -317?\nAnswer: -486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7 - (-2 - -1) - 1. Let i(o) = -o**2 + 10*o + 14. Let x be i(11). Suppose -m = x*r - 25. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/19 in 2\/7, 2, -300?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -317.7 + 317.8. Suppose -m + 0*m = 0. Let q = 12 + -9. Which is the closest to g? (a) m (b) q (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 182.115 - 178.1. Let j = i + -0.015. Which is the third biggest value? (a) 0.1 (b) -6 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1714*y - 25152 = 10486 + 356 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -36425 - -214324?\nAnswer: 144566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a century in years?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-4) - (-8)\/((-8)\/4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v - 3*v - 2*v + 5*v - 5*v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 9 = -a - 3, 4*n + 28 = 5*a for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-19) - 238\/(-266))\/7. What is the third smallest value in 3\/5, -0.1, o?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*g, -5*n = -4*g + 19 - 1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -260032 * -0.1.\nAnswer: 26003.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(-10) + (-124)\/310)\/3\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2897 - -2899. What is the closest to 0.1 in 0.4, 2\/185, g?\nAnswer: 2\/185","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -5, -3, -4, 2, 65, 0 in ascending order.\nAnswer: -10, -5, -4, -3, 0, 2, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -2*s**7\/147 + 106*s**6\/21 - 5618*s**5\/7 + 1488770*s**4\/21 - 78904810*s**3\/21 + 836390986*s**2\/7 + 14*s + 57. Factor g(a).\nAnswer: -4*(a - 53)**5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 40 = -0*c. Let i(y) = -9 - y**3 - 5*y**2 + c*y + 6*y**2 + 6*y**2. Let p be i(8). Solve 2*x - p = -3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/10*((-110)\/6)\/(656\/246). Which is the nearest to -0.1? (a) 0.2 (b) -0.2 (c) -2\/51 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20897331 divided by 13.\nAnswer: 1607487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -3 + 8 + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8378.939 millennia to decades.\nAnswer: 837893.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -40.2 and -4.7.\nAnswer: -44.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -5*v + 3*h + 8225, 4*h - 6612 = -4*v. What is the remainder when v is divided by 110?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4446, 8845, 13244?\nAnswer: 17643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h**2 - 44*h + 22. Give t(16).\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tl when two letters picked without replacement from lltlntrl.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(968) - (1 + sqrt(968))) + 1) + -1)**2*-6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1745*v**5 - 1708*v**2 wrt v.\nAnswer: -104700*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 5*x - 2. Let b be t(2). Let y(i) = -16*i + 62. Let q be y(b). Sort 3, q, 13 in increasing order.\nAnswer: q, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 17, m: 3}. Give prob of picking 2 q.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77350462?\nAnswer: 2, 7, 653, 8461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**4 - w**3 - 17*w**2 + w - 8. Let g(k) = -6*k**2 - 3. Let o(b) = -3*c(b) + 8*g(b). Factor o(z).\nAnswer: -3*z*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 30 + 17 - 27 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 5750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-12) + 106\/(-6). Does 16 divide u\/(-36) - (-1 - 226\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*b**2 + 33*b**4 + b - 29*b**4 - b - 14*b**3 - 10*b**3.\nAnswer: 4*b**2*(b - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 + 1. Let w = -10 - -6. What is the third biggest value in w, o, -0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 8:37 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, r: 2, g: 4}. Give prob of sequence gg.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54 + -51. Find the second derivative of 5*f + 28885 - 28885 + 4*f**r - 5*f**5 - 81*f wrt f.\nAnswer: -100*f**3 + 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2592*r**5 - 2243664*r**4\/7 + 3035506*r**3\/7 - 811444*r**2\/7 + 38246*r\/7 - 500\/7 = 0. Calculate r.\nAnswer: -125, 1\/36, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 7*w + 1. Let k be l(-6). Let m(n) = 2*n - 3. Let r be m(k). Let a(u) = u + 99. Let c be a(0). Calculate the highest common factor of c and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 184*b + 8. Let s(j) = -191*j - 7. Determine -3*s(z) - 4*w(z).\nAnswer: -163*z - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2616222937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1495017 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7459231 milligrams to micrograms.\nAnswer: 745.9231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1281 is divided by 162.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u**2 - 31*u - 190. What is b(12)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 11*f - 39. Solve -5*d - 6 - 5 = r, 5*r - d + f = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/5 (b) -10 (c) -2 (d) -41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -0.025\nAnswer: 0.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-96 + -70)\/(2\/(-29))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -630 by -14.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 524?\nAnswer: 1\/262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2682 divided by 9?\nAnswer: -298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fvkvklpvvkvm. What is prob of sequence kf?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**5 - 2*l**4 + 2622*l**2 - 2416*l?\nAnswer: 40*l**3 - 24*l**2 + 5244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(832))**2*-3.\nAnswer: -2496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40754 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 1:13 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(0 + sqrt(475))*2)**2.\nAnswer: 7600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2854 and -101917?\nAnswer: -290871118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 24*s**2 + 1. Let v be u(24). Let a be (0\/2 + 0)\/v. Put 49, a, 5 in ascending order.\nAnswer: a, 5, 49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k**3 + 4*k**3 + k**3)*(k + k + k) in the form o*k**4 + x + d*k + p*k**3 + s*k**2 and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2.36 (b) -11 (c) -3 (d) -0.08181 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 5589.\nAnswer: -1\/5589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130, -521, -1174, -2089, -3266?\nAnswer: -4705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1583 and 1.3329.\nAnswer: 2109.9807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -35781529, -71563069, -107344607, -143126143, -178907677, -214689209, -250470739?\n\"Answer: h**2 - 35781543*h + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 708 divide 211908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/13)\/w)**(-16)\/(w**(2\/19)*w\/((w\/(w*w\/w**(-9)*w*w)*w*w*w)\/w)))**(1\/71) assuming w is positive.\nAnswer: w**(1817\/17537)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10a (base 11) to base 15\nAnswer: -8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 17*t + 42. Determine g(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 211957.89955 + -212006.9. Let p = 51.79 + -2.79. Let m = p + w. Round m to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16929.\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwnrffkkk. Give prob of picking 1 k and 1 n.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360)*-1*-2)\/(sqrt(6) - sqrt(42)\/(sqrt(7) + (sqrt(7) - (-1*sqrt(7) - sqrt(7))))))\/(4*(-1*sqrt(300) + sqrt(300) - sqrt(300))*4).\nAnswer: -sqrt(5)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12122807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 48*t**2 + 423*t + 1803. What is m(34)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h**3 - 4*h**3 - 2*h**3)*(-11 - 366*h**2 - 2*h - 27 + 368*h**2).\nAnswer: -2*h**5 + 2*h**4 + 38*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53689, 1, -1, 4, -7 in increasing order.\nAnswer: -53689, -7, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -370*c**2 - 76555*c + 7245 = 0?\nAnswer: -207, 7\/74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 y, and 1 r when three letters picked without replacement from iyiiryzzizz?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11208713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/((-4)\/(48\/(-198))).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 15 = -o, -4*l + 45*o + 56 = 48*o. Suppose 58 = -l*s + 190. Let z(p) = -2*p - 1. Let g be z(-2). What is the greatest common factor of s and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/((5 - 2) + -2). Factor 5*p**2 + 11*p**2 - 3*p**3 + 13*p**3 - 6*p**r.\nAnswer: 4*p**2*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29.3 - -29. Let o = -73.55 + 70.55. Sort 1, 5, b, o in ascending order.\nAnswer: o, b, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*w - r - 17 = 0, 0 = 4*w + 5*r + 13. Find the second derivative of 8*b**3 - 2*b**2 - 6*b**w + 2*b**2 - 4*b wrt b.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83, -83, -75, -53, -11, 57, 157, 295?\nAnswer: 477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 8*u. Let y be d(-3). Suppose -3*r + 2*r = h - 77, 0 = -4*r + 20. Let l = y + h. What is the highest common factor of l and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 45*z**2 + z + 1. Suppose -452 - 916 = -114*a. What is the remainder when l(-1) is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1275 - -6.9425. What is u rounded to 1 decimal place?\nAnswer: 7.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.01 + -0.33. Let y = v + 0.3200026. Round y to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {y: 1, z: 4, d: 6}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40604 is divided by 63.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 904396, 904395, 904394?\nAnswer: 904393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.719 rounded to zero decimal places?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 8591, 0.5, 1\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 - 0.2. Suppose 0 = 2*k - 4*h - 15 - 5, 5*k - 30 = 5*h. What is the nearest to k in 0, -3\/5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 4*q + 1 + (-4*q + 0*q + 5*q)*(1 - 1 + 1) + 1096*q - 2086*q + 1179*q as s*q + d and give s.\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2e - -54?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 8*z**2 - 11*z - 8. Let c be a(-10). Let u(v) = -v**3 + v**2 + 2*v + 5. Let p be u(6). Let n = c - p. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + k**2 - 1)*(-3*k + 0*k - k + (-1 - 2 + 2)*(-86*k + 157*k + 6*k))*(3 - 3 + k).\nAnswer: -81*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*l + 20 = -1, -4*l + 4 = 4*g. Solve -g*x + 9 = -0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 5*l**2 - l + 2. Let h be q(-2). Let b be h\/30*2*5. Let p(x) = 0 + 7*x - 7 + b + 2*x. Give p(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*h - 18*h + 5*h, 4*c - 8 = 2*h + 12 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 - (-86 - -43 - 14).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4726?\nAnswer: 2, 17, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of 2*y**2 - 4*y + 1. Suppose -102*b + 10*b = 276. Let q be (-1)\/3 + (-60)\/9. Let a(r) = -2*r + 2. Determine b*d(j) + q*a(j).\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00272846923 to 4 dps.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32540860 and 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 78.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l = 5*h - 7*l + 1904, 5*l = -3*h - 1145. Let y = -377 - h. Solve -y*k + v + 3 = 0, -5*v + 26 = 3*k + 5 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r**(-7)\/r)))\/r*r**(-5))**(-7\/12) assuming r is positive.\nAnswer: r**(49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 309129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -341820.7 to the nearest 100.\nAnswer: -341800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2011 (base 3) to base 8\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 18 = 5*o. Calculate the least common multiple of 6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 25 = -5*q, 1044*q - 1045*q = -3*u - 12 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 51470000 to the nearest 1000000.\nAnswer: 51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in -11\/12, 1, -1\/5?\nAnswer: -11\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -6702*a - 20. Let g be l(-10). Round g to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 149.5, 0.231, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -227, -466, -729, -1022, -1351, -1722, -2141, -2614?\nAnswer: -3147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-2\/17)*r*((r*r**(-7))\/r)\/r)\/(((r*r\/r**(1\/5))\/r)\/(r\/((r*r\/(r*(r*r\/((r\/r**(-5))\/r*r)*r)\/r))\/r))))**3)**(-23) assuming r is positive.\nAnswer: r**(64032\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/((-2457)\/(-28))*15\/(-20).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -167 from 12479248.\nAnswer: 12479415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*k + 658847 - 39851. Suppose 0 = -16*y - 15743 + k. Factor -y*t**4 - 2*t**5 + 4*t**5 + 2234*t**4.\nAnswer: 2*t**4*(t - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -8 + 8 - 14*m**2. Let y(b) = -3*b**2 - 6. Let l(v) = 9*v**2 + 17. Let u = -240 + 223. Let c(z) = u*y(z) - 6*l(z). Determine c(q(p)).\nAnswer: -588*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11703, 11702, 11701?\nAnswer: 11700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2023 and 3451.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 16*j - 42. Suppose g - 47 = 5*q - 6*q, j = g. What is the smallest common multiple of q and 36?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/5 - (-2)\/(-5). Suppose -3*n = x, -4*n + 3*n - 5*x = g. Which is the nearest to n? (a) 3\/7 (b) 4 (c) 0.73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 109 + -98. Suppose -2*o + o = -15. Let i = c + o. Calculate the remainder when 129 is divided by i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -111 (b) 1 (c) -353\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2291827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.8 + -0.2. Let w = 11 + o. Put -0.5, -1\/3, w in decreasing order.\nAnswer: w, -1\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 11:35 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 201020411430 - 4?\nAnswer: 201020411421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 744, 1487, 2228, 2967, 3704?\nAnswer: 4439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1 + 5*(sqrt(8) + (sqrt(512) - sqrt(8)) + sqrt(8) - sqrt(2)) + (0 + -5*sqrt(2) - (sqrt(200) + 4 + sqrt(200))**2).\nAnswer: -821 - 80*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0 (b) 4\/7 (c) -1 (d) -0.78 (e) 5 (f) -1\/83\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1578.547 + 3818126.547. Let v = w + -3816503.999984. Let m = v + -44. What is m rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -362*v - 2. Suppose -12*m - 4 = -13*m. Let o be f(m). Let n be (-2)\/8 + (o\/(-8))\/5. Calculate the highest common divisor of 4 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 13) to base 14\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5515 + -5479. Let g(k) = 44*k + 16. Let h be g(4). Calculate the greatest common factor of h and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + (28 - (-4 + 10)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 211 + -77. Suppose 0 = -s - d + 343. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -763073.\nAnswer: 76307.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - b + 2*b)*(27 - 27 + 12*b**2)*(-1 + 2 + 156*b**2 - 145*b**2).\nAnswer: 396*b**5 + 36*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/8)\/((-6)\/24). Let n be (4 - h)*(3 + -2). Suppose -a + 125 = 4*a + n*b, 9 = a - 3*b. What are the prime factors of a?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58.60580836 rounded to two decimal places?\nAnswer: -58.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6655*h = 3326*h + 3323*h + 114 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -255 - -259. Solve a + 0*a + 13 = g*j, -3*a = 5*j - 29 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73224328 to the power of 1\/2, to the nearest integer?\nAnswer: 8557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1427 - -1431. Which is the smallest value? (a) f (b) -0.4 (c) -16 (d) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**4*f\/(f*f**(-16\/3)))\/((f**2\/f*f)\/(f\/f**(1\/14))))**20 assuming f is positive.\nAnswer: f**(3890\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -5*j + 12, 326*v - 327*v = -6*j + 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(13) - (sqrt(26)\/sqrt(2) + sqrt(13))**2) - (sqrt(13)*-6*-5)**2.\nAnswer: -11754 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.003 + -0.054. Let w = z - -0.211. Let l = w + -0.27. Which is smaller: l or -0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7655 - -13965. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -19*k + 15. Let p be y(1). Let l(u) = 3 + u + 4 - 6 - 2*u. Let w(a) = -13*a + 4. What is p*l(g) + w(g)?\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*b + 1 - 4 + 3 to the form f + y*b and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) - 2*sqrt(180)\/sqrt(6))*6*-6)\/(-5*(sqrt(96)*1 + sqrt(270)\/sqrt(5))).\nAnswer: -36*sqrt(5)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4228)\/(-13288) + ((-4)\/2)\/4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 10*t - 3. Let b be h(3). Let i = -41 - -77. Suppose -i = -4*j + 2*j. Calculate the greatest common divisor of b and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -94+1.4261\nAnswer: -92.5739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3229757 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 11:12 AM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (36\/3 + -2)*-54000. Round m to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9\/5 - 338\/185. Let j be -9 + (2 - (-9 - -4)). What is the closest to 1\/2 in q, -1\/4, j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5040 by 4.\nAnswer: -1260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 56*c**2 + 109*c - 52. Let s be q(54). Let a = 0.41 + -4.41. What is the closest to 19 in 3\/7, a, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, b: 9, v: 1, q: 4, a: 1}. What is prob of picking 2 g, 1 a, and 1 q?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*f**4\/8 - 12981*f**3\/8 - 3975*f**2\/2 - 723*f\/2 = 0.\nAnswer: -1, -2\/9, 0, 482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q**3 + 7*q**2 + 2*q + 7. Let t be d(-5). Let v = -169 - t. What is the greatest common divisor of v and 374?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ai when two letters picked without replacement from {a: 1, v: 1, i: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**4 + 1408*j**3 + 8572*j**2 + 7160*j = 0. Calculate j.\nAnswer: -5, -1, 0, 358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7615393?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87691.\nAnswer: 87691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 983 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ibbbippby. Give prob of picking 1 y and 1 p.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1035*q**3 - 312*q**3 + 137*q**3.\nAnswer: 860*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 4*f + 8, -2*r - f + 8 + 5 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -23121313003223?\nAnswer: -23121313003213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2. Let g(i) be the second derivative of i**4\/6 + 3281*i**3\/6 - 4*i - 145. Give g(z(q)).\nAnswer: 2*q**4 - 3281*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.025 + 0.125. Let l = 77 - 77.3. Which is the second biggest value? (a) 2 (b) l (c) x (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 57469 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -8*n**2 + 3*n**2 - 5*n**2. Let w(m) = 2*m**2. What is h(w(l))?\nAnswer: -40*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7006901, 7006900, 7006899?\nAnswer: 7006898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4 + -1*(sqrt(2299) - (-2 + -2*sqrt(2299))**2) - (sqrt(2299)*-3 + -5 + (sqrt(2299) + ((sqrt(2299) - -3*sqrt(2299)) + sqrt(2299))*-2)**2)).\nAnswer: -177017 + 110*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22.2 - -25.6. Let g = j - 47.79632. What is g rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(19 - -2 - 3). What is the highest common factor of h and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mttmtmtmtmttmmmttm. What is prob of sequence tmtt?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -167? (a) 2 (b) -7 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 8:35 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 5, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3124*i = 3105*i - 285 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 2 = -5*z - 4*h, -2*z - 4*h = 8. Let j = 5 - 0. Suppose 5*n + 0 - 44 = -z*t, 110 = j*t - 3*n. Calculate the remainder when t is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + -6. Let w = m - -4. Solve c - 2*l - 12 = -0*c, 4*l = -w for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41379 is divided by 13789.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-44)*k)**(-14)*(k\/(k**(-44)\/k))\/(k*k*k**(-37)*k))**(25\/2) assuming k is positive.\nAnswer: k**8525","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46.92 + 0.08. Let g = 47 - o. What is the third biggest value in -6\/13, -2\/5, g?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52 + -35. Let b(z) = -z**2 - 10*z + 2. Let c be b(0). Suppose -3*q = -r + c. Solve -q*i + i = 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f. Suppose 0 = -r + 4 - 2. Let z(j) = 7*j**2 - j**2 - j**r. Give z(i(u)).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -348 = 11*c - 326 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7626, -15247, -22868?\nAnswer: -30489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 14 = u. Let h = 11 + u. Suppose 3*m = h*c - 20, 0*m - 3*m - 12 = 0. Is c <= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 4:24 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1082 = 2*m + 1064. What is the highest common factor of m and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1761168 and -0.03.\nAnswer: -1761168.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0272 plus 0.0735?\nAnswer: 0.0463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 43*k + 201. Give d(34).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 128.127 + -128. Let a = z + -0.22. What is a rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 7043706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - s - 2. Let t be n(-2). Let g(i) = -5*i**2 - 6*i + t*i + 24 - 25. Determine g(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-11)\/77)\/(1 - 50\/35). Let t = 10\/63 + -1\/63. What is the nearest to 4\/5 in -3, k, t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w*w*w**(-2)*w*w)\/w)\/(w*w\/((((w*w*w**(-5)*w*w*w)\/w*w)\/w)\/w)))**(-1\/15))**(-12\/5) assuming w is positive.\nAnswer: w**(-8\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 22882796.\nAnswer: 1\/11441398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -5*s + 32*u - 30*u, s = 3*u + 21 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, f: 3, t: 3, g: 1}. Give prob of picking 1 f, 1 t, and 1 g.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95)\/sqrt(5) + 3 + sqrt(95)\/sqrt(5) + -2)*5*2)**2.\nAnswer: 400*sqrt(19) + 7700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h - 2. Let d be i(2). Suppose -4*g + 3*f = -14, d*g + f = -g + 4. Is 4*((-21)\/(-2) - g) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 825961996 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.9 + -0.1. Let w = -5.69 - -0.79. Let p = w - -0.9. Which is the nearest to 1? (a) k (b) p (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -65*b. Let x(m) be the third derivative of -m**5\/20 + m**2 - 102*m. Determine x(j(g)).\nAnswer: -12675*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ewec when four letters picked without replacement from {w: 4, e: 10, c: 2}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g + 4. Let h(v) = -v**3 - v**2 + v + 5. Let q(m) = m - 5. Let z be q(5). Let u be h(z). Suppose -2*n - 2 = o, u*n - o = 5 - 3. What is b(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(2\/51)*a)\/a**(-4\/13))**(1\/14) assuming a is positive.\nAnswer: a**(752\/4641)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32 - -22105653?\nAnswer: 22105621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence klk when three letters picked without replacement from {l: 4, b: 5, k: 7}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 3:19 AM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + l - 5*h - 465 = 0, l = -5*h + 123. Let u = -44 + l. Calculate the highest common factor of u and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(130) + (sqrt(130) - sqrt(130)*2))*-2 + (sqrt(130) + (sqrt(130)*-2 - sqrt(130)))*-1)\/(sqrt(160) - 6*sqrt(160)*2))**2.\nAnswer: 13\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((1 - 2) + 0)*-3. Let r be (b - 0) + (0 - 0). Factor -2*g - 2*g + r*g**2 - g + 6*g - 2.\nAnswer: (g + 1)*(3*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 846 = 166. Suppose -118*w - 10044 = -y*w. Is 34 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 28 = 4*b, 1221 = 2*b + 5*x + 1250 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2. Let u(i) = -4*i**2 - 11*i - 10. Let g(z) = u(z) - 3*y(z). Let r be g(-8). Let x = r + 1. Calculate the highest common factor of x and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -c**9\/453600 + c**8\/10800 - 7*c**7\/5400 + 7*c**5\/30 - 32*c**2. Let y(q) be the third derivative of u(q). Factor y(j).\nAnswer: -2*j*(j - 7)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*g - 3)*(-33*g**3 + 17*g**3 + 26*g**3) + (-g**4 + 0*g + 0*g)*(-3 + 3 + 1).\nAnswer: -21*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5195 divided by -5?\nAnswer: 1039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/4)\/((-24)\/(-64)). Solve 5*f + 0*u = -4*u - 31, -a*u - 4 = -4*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -60 + 150. Let y(u) be the first derivative of 17*u**3\/3 - u**2 - u - 1. Let v be y(-1). Calculate the highest common factor of v and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of 0*i + 0*i**4 + 7\/6*i**3 + 1\/20*i**6 - 4*i**2 + 0*i**5 + 0. What is the derivative of v(s) wrt s?\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 30\/(-6) + (-5 - -9) + 1. Solve r = 7*u + 34 - 6 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 - k - 7*k**3 - 2 to n*k**3 + f*k + u*k**2 + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is e70 (base 15) in base 8?\nAnswer: 6267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 6:20 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.6187 to two dps.\nAnswer: 1.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1974*x + 654*x - 1776*x - 5714*x to the form r*x + v and give r.\nAnswer: -4862","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 3*s - 4*s)*(-136 + 211 - s - 151).\nAnswer: 5*s**2 + 380*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*q - 34. Is (-8826)\/(-7) + q\/140 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -222432244 (base 5) in base 4?\nAnswer: -3300012121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + -3)*-1 - 1. Suppose -2*w + 6 + m = 0. Suppose 15 = 6*c - w*c. Solve y = -d + c*d - 8, 4*y - 6 = -3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 0*z + 5 + z**3 + 4*z - 8*z**2 - 5*z + 6. Let o be q(8). Solve o*x - 6 - 6 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 8*j**3 + 4*j**2. Let h(z) = 7*z**3 + 4*z**2 - z - 1. Let x(g) = -6*c(g) + 7*h(g). Determine x(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(120)\/sqrt(6))\/sqrt(10) + 2.\nAnswer: 2 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4412716547?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -194.685031?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -123 + 208. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 2 - 1) + 5. Suppose 2*p - 3 = -17. Let f(y) = -y**3 - 8*y**2 - 8*y - 3. Let v be f(p). Calculate the greatest common factor of v and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, q: 6, e: 2, w: 5, i: 5, v: 1}. Give prob of sequence ev.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112 - -11001221100?\nAnswer: 11001221212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**2. Let c(l) = 231*l**2. What is r(c(n))?\nAnswer: -106722*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 11) to base 10\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 4*z = 0. Suppose 0 = 3*s + 2*v + 2, 3*v = 15 - z. What is the closest to 1\/4 in s, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 209 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55476 and 460?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1034185390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -87830 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -218 divided by 1?\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.95, 0.66, 0.5, -5, 0.2, -10 in descending order.\nAnswer: 0.95, 0.66, 0.5, 0.2, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -146 divided by 10232\nAnswer: -73\/5116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/19650904 and -75\/22?\nAnswer: 216159944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -57 - -0.49027766.\nAnswer: -56.50972234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4913376288?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 + 13. Let a(t) = -t**2 - t + 74. Let w be a(8). Let m(d) = -1 + 2 + 261*d**w - 260*d**2 + 3. Determine 2*f(z) - 7*m(z).\nAnswer: -3*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 2574*v + 2*v**4 - 5*v**3 - 2574*v + 2*v**2 to b*v + a*v**2 + s + f*v**3 + o*v**4 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 742629 by 10173.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4740*c - 4720*c = 240 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 0 (c) -0.4 (d) 0.5 (e) -0.07525 (f) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -6 + 2*l**2 + 6*l - 3*l + 2. Suppose -g + 8 = -2*r + 19, -4*g + 3*r = 24. What is d(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2542.35331 to the nearest ten.\nAnswer: -2540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wygggwgywgwnwgwwwwg. What is prob of sequence wg?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 10:06 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 462881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + -3 - (1683 - 1715)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*x - 252 = -18*x. Find o such that 0*o**2 - 3\/2*o**3 + 0 + 0*o + 3*o**x - 3\/2*o**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -53 (b) -2\/39 (c) -2\/45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 468.4527 and -1284.\nAnswer: -815.5473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4496211.\nAnswer: 3, 17, 29387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -295 - -335.2. Let q = o - 40. What is the closest to q in -3\/5, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 j when two letters picked without replacement from pjpjpjpjjpppp.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -425*h**5 - 62*h wrt h?\nAnswer: -8500*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 2 + 5)*((2*t + t - 5*t)*(0 + 0 - 1) + t + t - t - 368*t + 165*t + 146*t).\nAnswer: -1188*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 720 and 2070504?\nAnswer: 20705040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -2. Suppose 5*i - 8 = o. What is the first derivative of h - 2*h + 2*h + 1 - i*h wrt h?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**2 + v**2 - 11 - 9*v + v**2 + v**2. Let y be i(10). Is -1 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - y - 4. Let w(v) = -v**2 - 4. Let h(c) = 5*l(c) - 4*w(c). Let m be h(-3). What is the units digit of 2*1\/m + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 2:15 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 227*x**3 - 5*x**2 - 10*x - 5. Let i(z) = -4995*z**3 + 111*z**2 + 222*z + 111. Give 111*d(h) + 5*i(h).\nAnswer: 222*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -39*l**2 - 17*l - 48. Let x(q) = 13*q**2 + 6*q + 16. Let i(j) = 6*d(j) + 17*x(j). Differentiate i(m) with respect to m.\nAnswer: -26*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8593, -8580, -8559, -8530, -8493?\n\"Answer: 4*m**2 + m - 8598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -184808 or -185094?\nAnswer: -184808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -529*i + 72. Let g(q) = -536*q + 71. Let p(x) = 5*c(x) - 6*g(x). What is the first derivative of p(u) wrt u?\nAnswer: 571","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9371, 9350, 9329, 9308, 9287, 9266?\n\"Answer: -21*x + 9392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 11 = 5*z, -227*z + 15 = -3*y - 230*z for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 0.1 (c) 0.673\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(-2\/7)*m**(2\/13))**(-2\/11))**(5\/2))**(-10\/3) assuming m is positive.\nAnswer: m**(6550\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - (-3 - (-1 + -1)). Suppose 5*m - 4*a = 11, -5*m + 2*a - 1 = -d. Let s(i) = -i**2 - 2*i - 1. Give s(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 28, 3\/7, 3\/5, -2, -46 in decreasing order.\nAnswer: 28, 3\/5, 3\/7, -1, -2, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000322796387 to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1444)\/(-18) - -1) + (-4)\/18. Suppose -2*p - 1 = -7. Suppose 3*h + 8 = -a + y, 5*h - 227 = -p*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1e492d (base 15) in base 4?\nAnswer: 11222032231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 84242.5 times -4.27?\nAnswer: -359715.475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - p + 17, h = -2*h + 3*p - 3 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8829, -9354, -9879, -10404?\n\"Answer: -525*i - 8304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 64599*r - 1808790. What is q(28)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*r - 73. Let c be (-4)\/(-16) + r\/28. Let v = -0.1 + -0.3. Sort 2\/9, c, v in ascending order.\nAnswer: v, c, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 11\/2889?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**2 - p**2 + 3*p**2)*(-4 + 2 - 6)*(3 - 3 + 2)*(7*p + p + 0*p).\nAnswer: -768*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3 = -3. Let k(p) = -p**2 - p + 3. Let n(j) = j**2 + j - 2. Let x(d) = v*n(d) - 2*k(d). What is the second derivative of x(r) wrt r?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -816 or 0.0992?\nAnswer: 0.0992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -9 - 16200\/(-1728)) + 4\/(96\/(-9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (-8 - -3) + 8. Is (115242\/15)\/(f\/10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119093954?\nAnswer: 2, 7, 23, 577, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by -388194\nAnswer: -10\/194097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 6 = 4*w, 2*w + 4 = 4*w - 3*v. Does w = 2\/379?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2. Let n(x) = 308556*x**2. What is n(v(r))?\nAnswer: 308556*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -27 + -84726?\nAnswer: -8474d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53256, -106511, -159766, -213021?\nAnswer: -266276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -254 or -261433\/1033?\nAnswer: -261433\/1033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(132)\/(1*sqrt(48)\/sqrt(4) + sqrt(12)) - (sqrt(1100) + (sqrt(1100)*-1)**2 + -5)).\nAnswer: 57*sqrt(11)\/2 + 3285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 14986.\nAnswer: 149860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*y + 5*y**4 + 20*y + 21*y**3 - 74*y - 24 - 1 + 9*y**3 + 20*y**2 = 0. Calculate y.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -351 + 351.09. Which is bigger: 3\/14 or d?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 6:11 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37706*i**4 + 3283*i**3 + 478890993*i**2 wrt i?\nAnswer: 904944*i + 19698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(8)*6)\/sqrt(4).\nAnswer: -24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1875747765 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pvqpepnpnnqpqpb. What is prob of picking 1 p and 1 v?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 45*o + 45. Determine a(43).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -231*q + 364*q + 145*q as r + b*q and give b.\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/7*-2*112\/(-240)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6679, 6267, 5617, 4759, 3723, 2539, 1237, -153?\n\"Answer: 5*h**3 - 149*h**2 + 6823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -97803*d + 97736*d - 2546 for d.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 517 = 9*j - 77. Let u = j - 35. Let r = u - 30. Calculate the greatest common divisor of 8 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -33 - 72. Which is bigger: -24 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zoarzrrrzortrzztzzzr. Give prob of picking 1 r and 3 z.\nAnswer: 392\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54348467?\nAnswer: 641, 84787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5434 divided by -2?\nAnswer: 2717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -313 + 313.0000243. Round r to six decimal places.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - d - 47 - 15, 3*q - 2*d - 61 = 0. Let h be (-21)\/(4 + -2 + -3). Let f be 56\/14*h\/4. Do q and f have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**4\/6 + 52*y**3\/3 + 1103*y**2\/6 - 52*y\/3 - 184 = 0 for y.\nAnswer: -92, -12, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 2*n + 4. Let u be g(-3). Is (u - 4)*(-602)\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 76737353968*h**3 + 76737353922*h**3.\nAnswer: -46*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 3*x + 3. Let v be n(2). Let o = 2 - v. Is o at least as big as 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pphj when four letters picked without replacement from phphhjphoohj?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**5 - 4*s**5 + 11*s**5 + (-19*s - 7*s**2 + 19*s)*(2*s + s + 3*s)*(-s**2 + 2*s - 2*s).\nAnswer: 52*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 8*d**2 - 116038*d**3 + 115999*d**3 + 4*d + 5*d to v*d**2 + y + i*d + a*d**3 and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 186 - 186 + 17*b**3 + (-2 + 3 - 2)*(4*b - 4*b - b**3) + 2 - 2 + b**3 to the form d*b**2 + s*b + g*b**3 + r and give g.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 31802 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 656137 and 3569?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 104\/13*2\/4. Find the second derivative of 43*y**2 - 43*y**2 - 5*y + 0*y + j*y**3 wrt y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -14*i**2 - i - 14. Give c(-3).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7855?\nAnswer: 5, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 0*w - 45. Let d = 76 + -78. What is the units digit of ((-5)\/w)\/(d\/96)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 4*t**5 + 10900*t**4 + 8572828*t**3 + 1496958732*t**2 = 0.\nAnswer: -1241, -243, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 758*v + 28*v**2 + 40 - 3045*v + 760*v + 765*v + 763*v as u*v + k + j*v**2 and give k.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 65941 + -36764. List the prime factors of i.\nAnswer: 163, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((28 - (23 - 5)) + -4 + 2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a*b*w**3 + 156*a*b*w**2 + 2*a*b*w - 21*a*w**2 - 19*b*w**3 - 31766*w**3 - w**2 wrt w.\nAnswer: 12*a*b - 114*b - 190596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h - 3. Let z(o) = 3*o + 2. Let g(m) = 5*y(m) + 7*z(m). Let p be g(-5). Let c be (1\/3)\/((-1)\/p). Solve -c*b + 20 = 3*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 851424058 a multiple of 1837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.31 + 0.46. Let o = -8 - -7.95. Let a = o - y. What is a rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411850?\nAnswer: 2, 5, 8237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.46 - 7.46. Sort i, 4, -0.5, -1\/7, 3\/5 in ascending order.\nAnswer: -0.5, -1\/7, 3\/5, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9caa + 90?\nAnswer: -9c1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4 = -12. Let o = -6 + 6. Solve 3*p + 12 + o = -i, -p = -2*i + u for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, -25, -161, -351?\nAnswer: -595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zkzddzzzztvjvvt. What is prob of picking 2 t and 2 v?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2510 - 654 = -4*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c + 0*c + c)*(54 + 3 - 8) + (6*c - 162*c + 3*c)*(3 + 1 - 2) to the form g + i*c and give i.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*c = -2*f - 112*c + 10, 5*f - 4*c - 16 = 0. Solve f*p - 3*g = 4, -2*p - 47*g = -52*g - 16 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51 - 18 + 74*a - 72*a)*(-2 + 5*a**3 + 2).\nAnswer: 10*a**4 - 345*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 968228631.\nAnswer: 3, 23, 4677433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 4 = 3*r, -r = i + 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 69 + -2 + -9 + 35 + -21 + -16?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -2*v**3\/3 - 6*v**2 + 16*v - 22. Let o be j(-7). Solve -2*u + 5*z + 21 = 0, 3*u + o*z = -z - 21 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 + 5*u - 18)*(0 + 2 - 3 + (0 - 1 + 2)*(5 - 3 + 0) - 1 + 0 - 1 + 5 - 2 + 0).\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23895588 is divided by 3111.\nAnswer: 3108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 12:52 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00011466 rounded to 6 decimal places?\nAnswer: 0.000115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -d - 4*c - 35, d + 12 = -3*c. Suppose u = 2*w + d, w + 2*w + 9 = 0. Is (-1)\/u + 224\/12 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 3 - 2) + -5 + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 8. Solve i + 6 = a*t, 6*t - 15 = 3*t + 3*i for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q + 1. Let z(k) = -7*k - 6. Suppose 5*y - 3*s = -45, 50*y - 49*y + s + 1 = 0. Suppose -9 = -4*d + d, -5*d = -4*t - 19. Calculate t*z(j) + y*c(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 100 + -100. Suppose -2*l - 7*z - 167 = -2*z, a = 4*l - z + 367. Let n = 98 + l. Calculate the remainder when 124 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16960294 - 9160290. Suppose 2*g - 4*q = 4*g + v, -3900001 = g + q. What is g rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000002455964 to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*o*z**3 - 11*o*z**2 - 2282*o*z + 200*o - 27408*z**4 - z - 1 wrt z?\nAnswer: 36*o*z - 22*o - 328896*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -34. Let n be 8\/(-2)*8\/s. Which is the third smallest value? (a) 0.3 (b) -0.3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*r**3 + 3*r**3 - r**3 + 29*r + 59*r wrt r.\nAnswer: -114*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16328.\nAnswer: 2, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79587.\nAnswer: 3, 37, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 17536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/o**(11\/2)))\/(o\/(o*o*(o\/(o\/(o*o**(-12)\/o*o)*o))\/o*o)) assuming o is positive.\nAnswer: o**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 482*f*l**4*s - 2*f*l**2*s + 3*f*l**2 - f*l*s + 347*f*l - f - 3*l**4 - 14*l**3*s + 3*l*s wrt l?\nAnswer: 11568*f*l*s - 72*l - 84*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10016325 to the power of 1\/2, to the nearest integer?\nAnswer: 3165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 8*v**2 - 8*v - 5. Let p(w) = w**3 + 11*w**2 - 12*w + 16. Let n be p(-12). Suppose 9 = o + n. Let q be b(o). Solve -q*y + 3*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 837 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**2 + 8*v**2 + 2 + 8*v**4 + 11*v**3 - 8*v**2 - 10*v**3 + 6*v to the form i*v + s*v**4 + t*v**2 + c + n*v**3 and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - s + 2 = 3*o, -4*s = 4*o. Solve -4*k = -4*q + q - 27, 3*k = o*q + 19 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -1, -5, 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q + 6. Let a be 39\/18 + -2 + (-1 - -1). Let f(i) be the third derivative of 0*i - a*i**3 - 1\/24*i**4 - 3*i**2 + 0. Calculate -5*f(c) - x(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -6, 0.1, -2\/5, -297\/175, -0.1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27588.54 - -27670. Round z to 0 dps.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -4, 20, 66, 140, 248, 396, 590?\nAnswer: 836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 f when three letters picked without replacement from {p: 5, f: 7}.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*5\/(-20)*13\/13*(-11)\/451.\nAnswer: 1\/82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (7 + 7 - 1) + 373138 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0 (b) 9668 (c) -5 (d) -2 (e) 5 (f) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 791731 or 15042910\/19?\nAnswer: 791731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44753456*z**2 - 14898088*z?\nAnswer: -89506912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 5758*c**2 - 1. Let b(k) = 3*k**2. Determine w(b(s)).\nAnswer: 51822*s**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 303 and 382386.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**3 - 3091*p**2 + 172976*p - 169884 = 0.\nAnswer: -3146, 1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11656\/17 + 684. Let p = -2\/84001 - 13692027\/5712068. Let y = q - p. Which is smaller: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 11*w**2 + w - 6. Let f(i) = i**3 - 12*i**2 - i + 7. Let u(l) = -6*b(l) - 5*f(l). Calculate u(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*a + 578 = 102*a. Let v = -8 + 102. Let p = v - a. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 816 is divided by 78?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 8 + 5)*(-20 + 6 + 15)*(-w**2 + w**2 - 2*w**3).\nAnswer: -32*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37a094 (base 13) to base 5.\nAnswer: -320222042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1733, 1761, 1787, 1811, 1833?\n\"Answer: -n**2 + 31*n + 1703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 - -34 - 43 - -51?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, z: 2}. What is prob of sequence oo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1258752 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15090*t**3 - 18826 wrt t?\nAnswer: 45270*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7f (base 16) to base 7.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2256 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o. Let l(f) be the first derivative of -1 + 0*f**3 + 0*f + 1\/12*f**4 - f**2. Let q(c) be the second derivative of l(c). What is r(q(j))?\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*q**3 - 559 - 124*q**2 + 124*q**2 + 559.\nAnswer: 13*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**2 - 22*t + 2. Let r be i(-12). Let o(k) = k**2 + 19*k + 13. What is the tens digit of o(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**2 + 17544253*g + 8772126 = 0?\nAnswer: -8772126, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/11)\/((-1117)\/49148).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736) - (sqrt(2736) + sqrt(2736) + -2 + sqrt(2736) + -3)**2.\nAnswer: -24649 + 372*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 3:18 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**2 + 1 - 1 + (5*c - 4*c - 3*c)*(3 + 10 + 3)*(3*c - c - c) in the form m + b*c**2 + a*c and give b.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = g + 96 - 300, 5*g = -5*f + 220. Suppose 2*c = c - f. Let h = 5 - c. Does 19 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -3*t**2\/2 - t - 1. Let n(p) = p + 1. Let a = -11 + 6. Let i be (-81)\/(-45) - 1\/a. Calculate i*n(f) + x(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/9*(-6)\/4. Suppose 0*g = 3*g - 6. Let r = -231 + 230.8. Which is the nearest to 0? (a) g (b) o (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -1\/9 (c) 1 (d) -211 (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18450 = -793*l + 5340 for l.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a tonne in kilograms?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 25\/4 of a tonne?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/((-32)\/10) - (-34)\/8. Solve -x*t - 3*u = 2*t + 1, -6 = -3*t - 4*u for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -659*t + 18398. Give c(28).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -89*l + 95 + 83 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*l**5 - 13045*l**3 - 361*l**2 + 23578978*l.\nAnswer: 120*l**3 - 78270*l - 722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**20*l*l*l*l)**(-1\/8) assuming l is positive.\nAnswer: l**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -19*t. Let a(y) = -y - 4142 + 4142. Determine l(a(g)).\nAnswer: 19*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1524a9b (base 13) to base 10.\nAnswer: -6751002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -346 + 175. Let t = w - -176. Solve 3*d = 2*d + t for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wpjwjpwwjpjwjwpw. What is prob of picking 1 w and 2 j?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 340200 and 14580.\nAnswer: 1020600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 126\/13 in -1\/6, -3, -5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4 - 7316*m**3 + 13395588*m**2 - 53494592*m + 53465344.\nAnswer: (m - 3656)**2*(m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u - 1. Let k(t) = -t**2 + 10*t - 8. Let n(p) = -k(p) + 5*w(p). Let l be n(5). Let v(z) = 3*z - 2. Let g be v(l). Sort 2, g, -3 in ascending order.\nAnswer: -3, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.3 - -1.4. Which is the closest to 0.3? (a) v (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/11 in 2, -2\/71, -3?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2597 - o + 5368 - 2813.\nAnswer: -o - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84, 422, 980, 1752, 2732, 3914?\nAnswer: 5292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10445 or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.003 (b) -22 (c) -3\/4 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 5*u**2. Let y(g) be the second derivative of 5\/6*g**4 + 0*g**3 + 0 + 0*g**2 + 73*g. Determine y(b(v)).\nAnswer: 250*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s**3 - 22*s**2 + 12*s - 5. Let w be o(5). Let j(k) = -k**2 + 11*k - 8. Let i be j(10). Solve 0 = 5*c - i*a - 27, -w*c + 25 = 4*a + 4 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165046457.\nAnswer: 1459, 113123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-7)\/(-4))\/(-7))\/(2\/8). Is o\/((-2)\/4*-2) + 70 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*v = -379*v + 72240. Calculate the highest common divisor of v and 205.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 8:11 PM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of f**5\/6 + f**4\/8 - f**3\/3 + 4*f**2 - 1. Let x be 47\/7 + (-4)\/(-14). Is k(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7130286 and 358?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21836689 - -636689. Round p to the nearest one million.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116154\/19359*5\/(15\/(-8))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4506648793?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009077315141 rounded to 7 decimal places?\nAnswer: 0.0090773","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 + 2)*(2*g - 3 + 3 - 20*g + 5*g - 19*g - 2*g - 3*g + 4*g + (-2 + 1 - 1)*(-g + 5*g - 3*g)) to j + n*g and give n.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 4 - 1 + 3 - 1 + 0 - 1 + 2 + 1 - 1 - 3 + 6 + (5 - 4 - 3)*(-1 - 1 + 4))*(-1 - m + 1).\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -1\/5 (c) -1\/9 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5 + 25 = 0. Let n be -13 - (1 - (-1 - 2)). Let q = 19 + n. Solve q*j = -4, x = -y - j - 4*j for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36780 divided by 3678\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-63)\/15 + 2\/10. Let r = p + 2. What is the units digit of (-4)\/r + 7 - 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 477694\nAnswer: 2\/238847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from kvaavkkgkygggkgvag.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (616\/(-15))\/(6\/(-9)). Let m = -63 + q. Is -1 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 306 by -51.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11305420?\nAnswer: 2, 5, 7, 23, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3685, -4 in ascending order.\nAnswer: -4, 5, 3685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nsvuvvsnnnvfufvuvfv. What is prob of sequence vus?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 3:24 PM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k + 0*k + 5*k + (31 - 31 + 2*k)*(3 - 2 - 3).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 80.737156 - 80.72. Round y to 4 decimal places.\nAnswer: 0.0172","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -136 + 139. Let i = 5.7 - 6. Let r = -4.168 + 0.168. Which is the third biggest value? (a) i (b) v (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13020330030 (base 4) in base 12?\nAnswer: -763150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 17\/(-5) - 720\/1200. What is the closest to 0.02 in -3, -4\/9, 2, f?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 132*h**4 + 5*h**3 - 634*h**2 - 12316593*h wrt h?\nAnswer: 1584*h**2 + 30*h - 1268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 + (-222)\/(-15))\/(4 + 1112\/(-280)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 - (-1 + 15 + -5) - -16.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33429*i*w**3 + 3*i*w**2 - 1065*i*w - 2*w**2 wrt w.\nAnswer: 200574*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 4*m + 42. Let t be b(5). Let f be (-9 - t)\/6*-4. Solve -4*y - 16 = f for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - 1. Let b = 15 + n. Let j = b + 2. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 8978 = 2*r - 9028 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 466, 5365, 18652, 44521, 87166, 150781, 239560?\n\"Answer: 699*z**3 + 6*z - 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 3159?\nAnswer: -315a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -365167, -1460659, -3286479, -5842627, -9129103, -13145907?\nAnswer: -17893039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(2*q - 2*q - 5*q)*(3*q**2 - 2*q**4 - 3*q**2 + (-2 + 2 - q)*(-q**2 - 2*q**3 + q**2) - 4 + 4 + 2*q**4)*(2 + 3 - 4).\nAnswer: 20*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3039, -10847, -23859, -42069, -65471, -94059, -127827?\nAnswer: -166769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1\/4514, 487 in decreasing order.\nAnswer: 487, 0, -1\/4514","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (-51)\/((-510)\/(-140)))*1 + -144.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -286 times -2?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 8.7. Let t = m - -5.7. Let q = -4 + t. Which is smaller: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 6*w**2 + 4*w - 8. Let a = 12 + -19. What is the tens digit of p(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 6.8, -1\/6, 5, 0.4 in decreasing order.\nAnswer: 6.8, 5, 0.5, 0.4, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8960 divided by 896.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vi when two letters picked without replacement from {i: 2, v: 18}?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(99) + sqrt(99) + -2 - (-2 + sqrt(99))) + 2 + sqrt(275) + -3 + 2))**2.\nAnswer: 16*sqrt(11) + 705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 94626*y**3\/13 + 50950*y**2 - 224*y\/13.\nAnswer: 2*y*(y + 7)*(47313*y - 16)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -396 or -77?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5179 divided by 45730.\nAnswer: -5179\/45730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0025 * 4222.\nAnswer: -10.555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -15019076 times -3?\nAnswer: 45057228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 63667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 q when two letters picked without replacement from {q: 1, d: 1, f: 1, x: 1, g: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -5131*l**3 - l**2 - l. Is z(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 5.7. Let p = o - 9. Sort 3, p, 1\/7.\nAnswer: p, 1\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a litre in millilitres?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-1\/2))\/v*v)**(2\/29)*(v\/v**(-2))**(-17))\/((v\/(v\/(v*v**(3\/7)))*v*(v*v**(2\/5))\/v)\/((v**(-4)\/v)\/v*(v\/(v\/v**6*v)*v)\/v)) assuming v is positive.\nAnswer: v**(-55546\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 + 43. Let g = i + -1. Suppose 91 = 40*s - 149. Solve -g*a - s = -2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-848)\/(-28) - 4\/14. Suppose n - 804 = -9*w. What is the remainder when w is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2270 from -8239627168.\nAnswer: -8239629438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 112ad (base 14) to base 9\nAnswer: 63178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/9929211 and -107\/2134?\nAnswer: 218442642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2580 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4 + 9410802*i**3 - 14760541791324*i**2 + 7717165501450714200*i - 23151363659730112176.\nAnswer: -2*(i - 1568466)**3*(i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 2:05 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 69466 = -r, 2*g + 9*r + 1568 - 47898 = 0. Does 14 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 638933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1, -2909, 2, -3\/7, -4\/5, 33, 0?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(-2 - -1) - 2. Let z = -5 - g. Is z at least as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p + 9. Let m be h(7). Let l = -1 + m. Let x(z) = -4*z**3 + z**2. Determine x(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4 + (sqrt(540) - sqrt(15))\/sqrt(3)*4*1*2.\nAnswer: -5 + 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nkb when three letters picked without replacement from nnbka?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1405*r - 1393*r = 104604000. What is r rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2204042651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 5:14 PM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 58, 88, 118, 148?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - y = -3*n + 144, -5*n - 332 = -2*y. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 18 = -m. Let v(n) = n**2 - 10*n + 3. Let l be v(10). Suppose -4*c + 6*b - 3*b + 14 = 0, -4 = -l*c - b. Solve w + m = -c*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14163 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1320348 and 228.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 3\/4*z**4 + 1 - 3*z + 2*z**2 - 2\/3*z**3. Is h(2) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 27 - 35. Which is the closest to 2? (a) -5 (b) k (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38330850377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -950*y - 371*y**2 - 861*y**2 + 950*y in the form m + f*y**2 + z*y and give f.\nAnswer: -1232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(3) - (0 + sqrt(3))) + 2)**2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -358*f + 340*f + 43740. Is 27 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 502748?\nAnswer: 2, 125687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10166310 and 30618.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -8738 and 5463856787.\nAnswer: 5463848049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-4 - (-5 - -6 - 6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*c**2 + 34*c**2 - 530 + 530.\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and 0.8534875.\nAnswer: 0.5534875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -24. Let r be (4 - y)\/((-1)\/(-5)). Solve -4*m - 41 = -r*t, -4*t + 0*m - 5*m = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61 + -59. Let o be (156\/(-91))\/(z\/(-28)). Let y = o - 11. What are the prime factors of y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -25*s**3 - 5*s**2 + 4. Let k be p(-3). Suppose 0 = 2*t - 0*t - k. What are the prime factors of t?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 11.3. Let z(s) = s**3 + 2*s**2 - s - 1. Let j be z(1). Is l <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.72449 milligrams to grams.\nAnswer: 0.07772449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((336\/32)\/21)\/((-2)\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -476 - -473. Sort z, -6\/47, 0, -5\/4 in increasing order.\nAnswer: z, -5\/4, -6\/47, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of y**6\/60 + y**5\/20 - 17*y**3\/6 + 3142*y**2. Let o(c) = 11*c**3 + 17*c**2 - 102. Give -34*m(z) + 6*o(z).\nAnswer: -2*z**3 - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -r**7\/14 + 7*r**6\/6 + 317*r**3\/6 + 445*r. Find the second derivative of w(d) wrt d.\nAnswer: -60*d**3 + 420*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -162*i + 224*i = 124 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.43899468 to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39 (base 11) to base 14.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/29, 445\/3, -3\/7, 0.05?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4017 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 125793212 by 4.\nAnswer: 31448303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-10))\/(1\/(-5)). Let b(p) = 11*p**3 + 8*p - 11. Let l(r) = 7*r**3 + 5*r - 7. Let y(o) = 5*b(o) - 8*l(o). Calculate y(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 153790*i**3*o - 2*i**3*z + 6*i**3 + 2*i*z + 2*i - 123*o*z + 1747*z + 8 wrt o?\nAnswer: 153790*i**3 - 123*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 6*b**2 + 6*b. Calculate u(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 6*b**2 + 7*b - 4. Suppose 20*c = 21*c. Suppose -5*a + a + 48 = c. Suppose 0 = 16*u - a*u - 20. Determine i(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 2*t + 2. Let q be r(-3). Suppose -3*x = 2*h + 56, 0 = x - h - 0*h + q. Let m = -18 - x. Solve k - 3 - 2 = m for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -74648515\/9 greater than -8294278?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1553 + 716?\nAnswer: -837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 26*r - 2. Let m be q(1). Suppose 6*k = -0*k + m. Suppose 0 = -2*p - l + 4, p = k*l + 11. Solve -4*x + 2*x + 1 = f, -p*x + 4 = f for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 + 90. Find the common denominator of (6\/4)\/(36\/i) and (-284)\/(-48) - 4\/2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 514244667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5*f + 1427 = 0, -7*g + f + 2809 = -11*g. Is g not equal to -3501\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -5, -3, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1961 and 3811?\nAnswer: 201983","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.22 - 167.561972?\nAnswer: -143.341972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 7*n**2 - 60*n + 4. Let z(y) = y**3 - 32*y**2 + 13*y + 1422. Let l be z(30). Determine c(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148036 + 15693 = -89*q. List the prime factors of q.\nAnswer: 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + c. Let b be l(4). Is -12 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + sqrt(99)*-1*3)\/((-2*sqrt(99))\/sqrt(11) + sqrt(9)) - -6*((sqrt(99)*-1)\/sqrt(9) + -1))**2.\nAnswer: 48*sqrt(11) + 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 134*z**3\/3 + 83*z + 28. Differentiate u(m) with respect to m.\nAnswer: 268*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (85\/79050*124)\/(1\/78).\nAnswer: 52\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28.88 + 0.68. Let m = f + -133.8. Let i = -161.999911 - m. Round i to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2491\/17066*230)\/(10\/14)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -b**4\/36 - b**3\/9 - 10*b - 19. Let t(g) be the first derivative of m(g). Determine d, given that t(d) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 12:08 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 322\/(-22) + (-5369)\/(-413)?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-20))\/(q\/(q**(3\/5)*q)) assuming q is positive.\nAnswer: q**(-92\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 4:45 AM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*d**3*q**2 + 2*d**3*q*x**3 + 7*d**3*s*x - 81*d**2*q**2*s + d**2*q**2 - 2*q**2*s*x**3 - q*s*x**3 wrt d.\nAnswer: -72*q**2 + 12*q*x**3 + 42*s*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*d + 4*f, 2*f + 7 = 2*d + 3*f. Are d and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 8*f + 40. Let g be s(12). Calculate the highest common divisor of g and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**3 + 8*a**2 - 15*a + 59. What is f(7)?\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1061 or -43561\/41?\nAnswer: -1061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -132\/335 or 452?\nAnswer: -132\/335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 150\/(-2125)*-17 + (-1576)\/(-240)*12?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1802682 * -7.8.\nAnswer: 1.40609196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*f - 271 - 292 + 53 = 0 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + -1*(-8)\/(-8). Put v, 5, -311 in ascending order.\nAnswer: -311, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 532431200 and 1120?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 q, and 1 t when three letters picked without replacement from zkttftttzfqtttttz.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*n**4 - 14*n**2 + 2*n - n - 46*n**2 - 4*n**4 as k*n**2 + w*n**3 + y*n**4 + c*n + r and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 12 = 2*n. Let w(l) = 21*l**2 - 3*l - 17. Let r(k) = -41*k**2 + 5*k + 34. Let v(g) = n*w(g) + 3*r(g). Differentiate v(o) wrt o.\nAnswer: -36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10940*l**2 + 14683*l.\nAnswer: 21880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1378, -2763, -4148, -5533, -6918, -8303?\nAnswer: -9688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 180*s + 3 - 54*s + 3 - 1 + 67*s to the form l*s + v and give l.\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**1\/d**(-2\/13)*d**(-2\/15)\/d**(-1)*(d\/(d**1\/d))**(1\/8)*d**(-1)*d**(-1\/6)*d assuming d is positive.\nAnswer: d**(1029\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*((-8)\/12)\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d = 14*d - 21. Let k = 12 - d. What is the highest common divisor of k and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-1))**16\/(a**(-2)\/((a*a\/((a*a**1)\/a*a)*a)\/a)) assuming a is positive.\nAnswer: a**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 4*v**2 + 35*v + 21. Give y(-3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 68*z**4 + 26*z**2 + 13.\nAnswer: 1632*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-6) + 128\/(-96) + (-6)\/(-4).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -338 in -0.3, -23, 2?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*c + 347*c + 203*c = 3727 + 5057 for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3 = 23. Suppose -n*u + 260 = u. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.792 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, f: 1, i: 1, k: 7, p: 3}. Give prob of picking 2 p, 1 f, and 1 i.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*t = -129, 4*w + t - 471 = -0*t. Suppose 0 = -5*u + 479 - w. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11525.4 to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uggg when four letters picked without replacement from {s: 3, g: 3, u: 2}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 123377.7 millilitres?\nAnswer: 123.3777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146189 is divided by 161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*v - 4*v + 8*v to the form k*v + t and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 1010010110?\nAnswer: 1010011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1787530 to the nearest ten thousand.\nAnswer: -1790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in 0.5543, 2\/9, -2\/11?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 - 4243*p + 4243*p.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -109, -2\/19, -3\/26, -2\/5 in descending order.\nAnswer: -2\/19, -3\/26, -2\/5, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 7*t**3 - 2*t**2 - 5*t - 6. Let p be o(-2). Let k be (-6)\/p - 149\/(-10). Calculate the greatest common divisor of 15 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 + -30. Let u(q) be the third derivative of q**4\/12 + q**3\/6 - 46*q**2 + 2. Give u(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-23)\/(-230))\/((-22)\/(-295)) and -19\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/45*2085\/30580.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/3)\/(42\/(-9)))\/(-1).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1034815?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637773590 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u**2 + 0 + 0)*(0*u + u + u) + 3*u**2 + 9*u**2 + 376*u**3 - 11*u**2 to j + i*u + m*u**3 + v*u**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyjjyyyjjyjyjyyy. Give prob of sequence yjjy.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 59?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + o + 49 = -7, 6 = -2*t + 39*o - 34*o for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**4\/8 + 11*t**3\/8 + 17*t**2\/8 - 11*t\/8 - 9\/4 = 0?\nAnswer: -9, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 38135 = 3*s, 363*k = 358*k - s + 47683. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -14*q - 207. Suppose -5*v = -4*d - 70, -4*v = -3 - 5. Let a be h(d). Solve -a*z + 16 - 1 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00187651841 to 6 decimal places.\nAnswer: 0.001877","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1*7\/49*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(100)*1)\/(sqrt(2) - sqrt(32)*1))\/(-2*((sqrt(70) - (sqrt(70) + (sqrt(70)*1 - sqrt(70)) + sqrt(70))*2) + sqrt(70) + sqrt(70))\/sqrt(7)) + 5.\nAnswer: -sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 r when three letters picked without replacement from rrrrrrrrrirrrrrrrrr.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -5. Let h(q) = 2 - 4*q - 23 - q + 4*q. Determine -2*h(a) + 9*v(a).\nAnswer: 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94573763.\nAnswer: 73, 17747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(-38)*w*w)\/w)\/(w**(2\/11)*w))\/(w**45*w*w\/w**(-44)) assuming w is positive.\nAnswer: w**(-574\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*h - 142*h + 43*h + 52*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103301 is divided by 754.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 0.1, 169276?\nAnswer: 169276","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a millimeter in micrometers?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -1215 and 0.5.\nAnswer: -1214.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1197 divided by 1569\nAnswer: 399\/523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50\/(-30))\/(2759\/(-434) + (8 - 2)).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 + -1 - (511 + -503 + (0 - (20 - 2)))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -7\/226 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19466 or 19464?\nAnswer: 19466","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36940*l - 7530*l + 21002*l + 11381*l.\nAnswer: 61793*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*h - 36. Suppose -j - 5*f = -h, -j - f = 2*j - 45. Calculate the highest common divisor of j and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13856*j*l**3 + 332*j*l**2 + 386462*j - l + 7 wrt l?\nAnswer: 83136*j*l + 664*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u. Let y be l(0). Let n be (-4 - 10\/(-2)) + (y - 1). Factor q**2 + 2 + n - 3*q**2 - 7*q + 2*q**3 + 5*q.\nAnswer: 2*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 9, -1, -37, -111, -235?\nAnswer: -421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzwzjnjhxw. What is prob of picking 1 j, 1 x, and 1 w?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313042 is divided by 9486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - 3 - (-15)\/3. Solve -3*k - x + d = 17, -5*k = -x + 11 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/5 - 4707*g\/5 - 1514652\/5.\nAnswer: -3*(g + 452)*(g + 1117)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 139*z + 83*z + 122*z + z + 2*z - 5*z + (4*z - 4*z - 2*z)*(-2 + 5 - 1) + (11 - 11 - 2*z)*(2 - 3 + 0) as d + w*z and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2.4 (b) -1 (c) -5\/2 (d) -185 (e) -0.51\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -1\/4 (b) -18 (c) 11 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26475999?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.38089734 to five decimal places.\nAnswer: -0.3809","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.6279 take away -9994?\nAnswer: 9978.3721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6, -11, -4, 21, 70, 149, 264?\n\"Answer: k**3 - 12*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 219 = -143. Suppose -u*t + 23*t = 128. Does 8 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -8*n - 27. Let l be a(-6). Solve -l*s + 8 = -13*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnoogo. What is prob of picking 3 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 0 - (34 - (20 - -4))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -673 - -699. Suppose 0 = -y + 11*j - 6*j + 1, 0 = -4*y - j + 25. What is the lowest common multiple of y and m?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 194\/(-66) - 537\/(-179)\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from lppppll?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8251308?\nAnswer: 2, 3, 13, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c. Let u(f) = -10772*f**2 - 610*f. Give a(u(p)).\nAnswer: 21544*p**2 + 1220*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29169 and 3738?\nAnswer: 5192082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(12\/2)*8\/8*-34\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -1\/4 (c) -4\/5 (d) -5 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 + -3*(-4)\/18?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -66 + 80. Let a(l) = -l**2 + 12*l + 28. Let k be a(j). Suppose y - 124 - 57 = k. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 134*r. Let s(j) = -j. Let u(g) = -8*g. Let q(w) = -6*s(w) + u(w). Give q(b(k)).\nAnswer: -268*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, t: 1, j: 1, v: 2}. Give prob of sequence jtv.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70287017.\nAnswer: 113, 622009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2914 - b6?\nAnswer: 282b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2756531 a multiple of 176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(5\/2))\/((c*(c**1*c*c*c)\/c*c)\/c)*c**(-4\/9)\/(c*c*c*c**(2\/11)*c))**1 assuming c is positive.\nAnswer: c**(-2005\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4582 or -4581?\nAnswer: -4581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*i + 6*i + 12*i)*(-3 - 5 + 3) in the form a*i + r and give a.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -p**2 + 0 + 0*p + 1\/60*p**5 + 0*p**3 + 1\/24*p**4 + 1\/24*p**6. Suppose 3*s + 0*s = -3. Calculate q(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c**2 - 9*c - 2. Let t(r) = -5*r**2 - 9*r - 6. Let i(a) = 6*b(a) - 5*t(a). Give i(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**2 - 59*y - 31. Determine r(-29).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of 5297*t**6\/30 - 19*t**4\/4 + 39*t**2\/2 + t + 62. Find the third derivative of c(x) wrt x.\nAnswer: 127128*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 5*d. Let x be m(-4). Let f be (-6)\/8 + 1\/x. Let g be 1 - (1 - 30) - f. Round g to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f**2. Let r(a) = 39*a**2 - 17 + 0 + 14 + 19 - 45*a**2. Calculate y(r(b)).\nAnswer: -108*b**4 + 576*b**2 - 768","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -441437543+-492\nAnswer: -441438035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*k - 24*k**4 + 24*k**4 - 9*k**5 wrt k.\nAnswer: -180*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s + 1. Let k(f) = -4*f - 9. Let h(m) = -k(m) - 3*l(m). Let i(g) = -g - 1. Give h(a) + 6*i(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g - 6. Let m(c) = -c + 1. Let z(u) = 6*m(u) + r(u). Let h be -1*4 + 2 - -6. Suppose -t = -2*t + h. Let p(j) = 6*j. Give t*z(q) + 5*p(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74741 divided by 31.\nAnswer: 2411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 563344 is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -5. What is the closest to -0.1 in v, 0.2, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.04 - -0.01. Let i = 0.07 - m. Let p = 4.8 - -0.2. What is the closest to 0.2 in p, i, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one twentieth of a meter?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -662.5*-179.\nAnswer: 118587.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iyoieyoyoyoofiooi. What is prob of sequence fe?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.04 - 1.96. Let j = t - -3. Let f = 0 - -2\/3. Is f greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.4 - 1.7. Let t = -425.83 + 426. Which is the smallest value? (a) t (b) 0.2 (c) i (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -480 - -479.999728. What is n rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 787 is divided by 388?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -303, -2446, -8263, -19590, -38263, -66118, -104991, -156718?\n\"Answer: -306*j**3 - j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.313 + 0.013. What is the nearest to z in -0.4, -6, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 30, -0.2, -21?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -2*f**4\/3 + f**3\/3 - f**2\/2 + 6*f. Let k be (-2)\/4 + ((-1)\/2 - -2). Calculate v(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -367 + 577. What is the highest common divisor of i and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -3*u + 5*u - 4, 0 = 3*q - 4*u - 3. Suppose 0*c = c. Which is bigger: c or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 282, 75, 4\/5 in increasing order.\nAnswer: 4\/5, 75, 282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22208 is divided by 42?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 119730 rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35532 is divided by 1422?\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1829143 equal to -1829145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -159992 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11031 + 1000021?\nAnswer: 1011112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5603\/4 - -1413. Let d = 712 - 5759\/8. What is the common denominator of y and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41248\/59 at least 698?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 4 = -9*m, 0 = -4*z + 3*m + 7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - n + 14 = 0. Let k = 23 + n. What is the greatest common divisor of k and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -7 (b) 0 (c) -6 (d) 0.28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10.7 + -0.408\nAnswer: 10.292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -22 and 145.41.\nAnswer: 123.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -1\/33230959?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.03 and -4.80561.\nAnswer: -4.83561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7783 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of 16*d**6\/15 + 43*d**4\/12 + 16*d. Find the third derivative of x(n) wrt n.\nAnswer: 768*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -r**5\/60 - r**4\/24 + r**3\/6 + 320*r**2 - 6. Let p(a) = 6*a**2 + 7*a + 7. Calculate 5*b(k) + p(k).\nAnswer: k**2 + 2*k + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -12. Let y = -1 - -3. Calculate the remainder when j is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2920 divided by -10?\nAnswer: -292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 26*c - 43. Let n be p(-14). Suppose 293 = -5*u - g, n = -5*u + 3*u - 3*g. Let f = -58 - u. Solve f*h - 1 = -h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2774 - -2832.91. Let m = 59 - u. Let x = 2 + 2. Are x and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 150141082336 + -150141081327.00000509. Let z = o + -1009. What is z rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - c - 8. Calculate n(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 3*b - 18. Let j be n(6). Let w be (-7)\/(-3) - j - (-26)\/39. Is w at least as big as -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*i**2 + 1 + 5 + 57*i**2 - 1.\nAnswer: -6*i**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(33)\/sqrt(3)*6 + sqrt(88)\/sqrt(800))*-6)**2.\nAnswer: 368404\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 4\/(-8))*0. Let d(a) be the third derivative of 0*a - 3*a**2 + x + 0*a**4 + 1\/20*a**5 + 0*a**3. Let n(l) = -2*l**2. Calculate n(d(w)).\nAnswer: -18*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -p**6\/6 + p**4\/2 - p**2\/2 - 9. Factor b(y).\nAnswer: -y*(y - 1)**2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 110 + 594. Let o = 134 + l. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p**2 + 2*p**2 + 2*p**2 + (2 - 2 - p)*(-4*p + 0*p + 3*p) + 0*p + p**2 + 0*p + (-2*p**2 + p + 2 - 2)*(22 + 9 - 11) as t*p + w + k*p**2 and give t.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -716 + 2181. Suppose 5*r - 675 = y. List the prime factors of r.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ue when two letters picked without replacement from {n: 2, u: 5, e: 2}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 9:31 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48 + -191. Let c be 2\/(-10) + w\/(-65). Which is smaller: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + 18.5. What is the third biggest value in w, -3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 19*y**2 - 542*y + 4241. Determine t(15).\nAnswer: 386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5*g - 22. Let t be x(-5). Let n be (-1 - (-1)\/t) + 11418\/(-99). Let u = n + 121. Solve u*f = -13 - 12 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -0.4, 3, 22187, -1\/8?\nAnswer: 22187","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 259791431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i + 2. List the prime factors of z(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20145 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/(-65))\/(6\/15)*14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -230 - -234.98. Let u = r - -0.02. Let m(y) = -48*y + 340. Let i be m(7). Which is the fourth smallest value? (a) u (b) 0.05 (c) i (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q**2. Let w(h) = -54*h. What is c(w(i))?\nAnswer: 11664*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37*o**2 - 118*o**2 + 249*o - 85*o**2 + 2*o**2 wrt o.\nAnswer: -476","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8156, -7560, -6964?\n\"Answer: 596*y - 8752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 24*x**2 - 21*x + 45. Let t be u(-23). Let z be (36\/54)\/((-2)\/6*t). Suppose -z*d + 8 = 0, -g - 2*g = 3*d - 132. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 113881 - -373?\nAnswer: 114254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(3286\/(-47) + 70)?\nAnswer: 4\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120545205 (base 6) in base 15?\nAnswer: 301e3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -24 + 58?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(17) + (2*sqrt(204))\/sqrt(12) + sqrt(17))*-1 + 4 + sqrt(68) + sqrt(17) + sqrt(17) + -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 101641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63.5 + -63.6725. What is d rounded to 2 dps?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -86*(-12)\/(-9)*612\/(-24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 8*b**2 + 5*b + 3. Let a be v(7). Suppose a = 5*z - 33. Calculate the remainder when z is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51992 = 2*s + 4*j, 0 = 2*s - 2*j - 26342 - 25662. Round s to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -8*j + 165. What is the remainder when 2\/(-2)*(-291)\/3 is divided by j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -9*q + 396. What is the least common multiple of q and 78?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -14013523.\nAnswer: 11\/14013523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/9 (b) -2 (c) 19 (d) 7\/20 (e) -4\/5 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 78*v - 21*v - 55*v - 4.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*i + 0*i - i + (0 + 0 - i)*(-1 + 5 - 1) + (3*i - 4*i + 3*i)*(7 - 3 - 3).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - 1. Let x(w) = 7*w**2 - 8*w + 13. Let m(g) = -4*g**2 + 4*g - 7. Let d(y) = c*x(y) - 5*m(y). Let f(i) = -i + 1. Give d(r) + 4*f(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8904057 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (2110\/125 + -17)*10\/4\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -118225693*g*w**2 + 23*w**2 - 1718821*w with respect to g.\nAnswer: -118225693*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27607 + -16318. What are the prime factors of d?\nAnswer: 3, 53, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9443, 8656, 7863, 7058, 6235, 5388, 4511, 3598?\nAnswer: 2643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*n + 11 + 5, -p + 3 = 0. Suppose u + 47 = 2*l, -9*l = -n*l + 3*u - 69. What is the greatest common factor of l and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1686.1 times 9.8?\nAnswer: -16523.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h - 2. Suppose -156 = 8*r - 10*r. Let v = -85 + r. What is q(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4106 is divided by 82?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of 30926*o**4\/3 + 188*o**3\/3 + o**2\/7 + o + 1221. What is i in g(i) = 0?\nAnswer: -1\/658","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-45)*165\/462.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*n + 6 = 126*n - b, 4*n = 2*b for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sbb when three letters picked without replacement from hbbbbhsbrlhr.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -19.1. What is the nearest to -1 in -2\/9, u, -0.2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/3 (b) -1\/4 (c) 0.3 (d) 1\/44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vzz when three letters picked without replacement from vvvzvzv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5517, -11060, -16625, -22206, -27797, -33392, -38985?\nAnswer: -44570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 0*x + 4*x - 1 + 1 + x + (-x - x + 4*x)*(2 + 2 - 3))*(0*x + 0*x - 2*x**3) - 1 + 3*x**4 + 1.\nAnswer: -7*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 92, 77, 38, -37, -160, -343, -598, -937?\n\"Answer: -2*u**3 - u + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*x - 120*l + 118*l + 4, x = -203*l + 198*l - 7 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 224, -11 in ascending order.\nAnswer: -11, 1, 5, 224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbyizbb. Give prob of sequence bi.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0*j = 0. Suppose j = -4*p + 5*y + 44, 5*p - p = -5*y + 84. What is the least common multiple of p and 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 564479 and 10048588?\nAnswer: 4309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 10*l + 17. Let b be j(-7). Let f = b + 66. What are the prime factors of f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 919308\/571 - 1610. Which is greater: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 4*g**2 - 6*g - 30. Suppose -24 = -2*o - 6. What is the lowest common multiple of l(6) and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 525.857 - 0.857. Let d = -525.1 + z. Let l = -2 - -1. Which is the second smallest value? (a) 3 (b) d (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 12.9 (c) -2\/5 (d) 1\/7 (e) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-8 + -9 + 22)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3272914 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -74 - -128. Suppose 0 = -8*x - x + i. Calculate the common denominator of -49\/31 and (-6)\/(-8)*(-3 - 124\/x).\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*g - 8*g + 12*g + (1 + 0 + 1)*(-1 + 1 - 2*g) - 3*g - 8*g + 5*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 + 21.72. Let g = c - -4.891. Round g to 2 decimal places.\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 1051*v - 47041. What is l(-43)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -5*b + 5*f + 2159, 5*b = -f + 2147. Suppose 720 = 10*m + b. Put 5, -4, 1, m in decreasing order.\nAnswer: m, 5, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 38 + 1\/3*q**3 + 147*q - 3\/2*q**2. What is the remainder when p(0) is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*w**2*x**2 - 8*w**2*x + 7*w**2 + 25344*w*x**2 + 41*w*x + 319*x**2 - 52*x + 1 wrt x.\nAnswer: 6*w**2 + 50688*w + 638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -11*f**3 - 10*f**2 - 7*f + 2. Let d be t(-6). List the prime factors of d\/50 - 1\/5.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*v**5 - 685*v**4 - 5420*v**3 - 9860*v**2 - 3120*v = 0. Calculate v.\nAnswer: -13, -12, -2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, v: 4}. Give prob of sequence hvhv.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 greater than or equal to -2732?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 10*d**2 - 13*d - 10. Suppose -24 + 4 = -4*p, -29 = -2*r + 5*p. Calculate the remainder when a(7) is divided by r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of m**4\/24 - 2*m**2. Suppose 0*d + 2*f + 16 = -4*d, 14 = 3*d - 5*f. Let k(j) = j. Determine d*x(s) + k(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0.14 (c) -2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 31 = -d - 7, 4*d = -2*k - 14. What is the second smallest value in k, 2\/13, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -291, -522, -753, -984?\n\"Answer: -231*c - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0)**18*(i*i*i**(6\/5)*i)\/i**(-1\/8) assuming i is positive.\nAnswer: i**(173\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16.3 and -0.1.\nAnswer: 1.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 228 and 31540.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1\/9, 0.16, -0.4, 63?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eaaaaaeaaeaeb. Give prob of sequence ee.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -3, -4, -9845\/89?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -498 + 489. Let w be (-39)\/m + 10\/15 - 0. Solve -3*a + 15 = p, p - 4*a + 2*a = -w for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 4 = -i. Let d = i - 26. Suppose v - d*t = 85, 4*t + 107 - 20 = v. Is 13 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00011896734 rounded to seven dps?\nAnswer: 0.000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34218 by -11406.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -10*y + 3. Let c = -28 - -40. Calculate the least common multiple of y and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.433425 and 1880.86?\nAnswer: 1881.293425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22118431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -148\/11 - 2\/11*v**2 - 78\/11*v = 0.\nAnswer: -37, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.06 (b) -11\/5 (c) -4 (d) -0.5 (e) -88\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -995549*g**2 - 875690?\nAnswer: -1991098*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -26 - 28. Let f = p + -4. What is the remainder when 26 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 17*p - 3. Calculate the remainder when 234 is divided by r(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f - 2. Let o = -18 + 27. Let q(j) = -5*j + 8. Give o*k(p) + 2*q(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18424 and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(96) - ((-1*sqrt(96) - sqrt(96))*-6 - sqrt(96)))\/(2*sqrt(2)*4 - sqrt(2))*-2 + -5 + 2)*5)**2.\nAnswer: 480000\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d**2 - 6*d + 1. What is the remainder when 72 is divided by t(3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1127143, 1127141, 1127139, 1127137, 1127135, 1127133?\nAnswer: 1127131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 289 = -317 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 6150434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 6367.84 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooqoooqoqooqoooq. Give prob of picking 2 o.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2505?\nAnswer: 3, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-0.24\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*s - 337180 = -337684 for s.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 38.4819 - 18767\nAnswer: -18728.5181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 1 + 35. Suppose -2*j + m + 62 = -4*h, 233 = 5*j + 2*h. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 6*t + 4. Let q be a(-5). Let g be (1 - -3) + 32 + q. Calculate the greatest common factor of 14 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9342 minus 383?\nAnswer: -9725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*f + 16 = 68. Determine b so that b**2 + 16 + f*b - 18*b + b**2 + 4*b = 0.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 47 + 53 = 0. Suppose 15*y - 1102 = -4*y. Calculate the remainder when y is divided by z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2057)*-2 + sqrt(136)\/sqrt(200) + (5 + sqrt(119)\/sqrt(7))*-2.\nAnswer: -119*sqrt(17)\/5 - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 13 = -2*l + b, -l - 3*b - 5 = 0. Solve -l*j = -f - 20, -f = -j - j + 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 41.955342, -5, -2\/7?\nAnswer: 41.955342","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(168\/(-14))*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.519 take away -7?\nAnswer: 7.519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 4, 41155 in ascending order.\nAnswer: -48, 4, 41155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 6:55 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 452 a factor of 27767716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c = 10471 + 46649. Is c a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -3*h**5\/20 - 30*h**4 - 117*h**3\/2 + 357*h**2 - 128*h - 2. Determine n so that a(n) = 0.\nAnswer: -119, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 11, p: 9}. What is prob of picking 2 p and 1 l?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 7*h - 2*h. Suppose -h*q - 68 = -5*r + r, -59 = -3*r - q. What are the prime factors of r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67841 = -141*g + 421187. List the prime factors of g.\nAnswer: 2, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 3:07 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-55)\/(-25) + (-3)\/15. Suppose -3*k - s*k = -k. Solve k = -0*w + 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 m when three letters picked without replacement from {n: 1, f: 10, m: 6, g: 1, z: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 356230688*i**2 + 3207*i - 22?\nAnswer: 712461376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 11*a**2 + 8*a + 46. Let l be f(12). Let n be 10\/(-6) - (-8)\/6. Put -1\/4, l, n in descending order.\nAnswer: -1\/4, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*n = 14*n + 138625. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -5*y - 108. Give v(-19).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3 + sqrt(7) + 0 + -2.\nAnswer: -5 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 179974160 and 2320?\nAnswer: 5219250640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 94 + 92 = -5*g, 0 = 3*x - 5*g - 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 392 = 69*r - 13*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xe when two letters picked without replacement from ddzwexx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 1 = q + k, -5*q + 15 = -k. Suppose -4*s - q*i = -12, -2*s - s = -3*i - 3. Suppose s*m - 17 = -7. What is the remainder when m is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 5*y**2 + 2*y + 12. Let c be w(4). Let g(h) = -h**2 - 7*h - 4. Let f be g(-8). Let v be (-4)\/f*(c - -2). Sort -2, v, -1 in ascending order.\nAnswer: -2, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 + 570*a + 27075.\nAnswer: 3*(a + 95)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(20\/(-3))*(-2864)\/(-2148)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - -3)\/((-3)\/(-15)). Let b = -2 - x. Let t = -14 - b. Let q(s) = s**2 + 9*s + 5. Calculate q(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*j - 10 + 46 = 0, -2*g = -3*j - 20. Suppose -2*o - 2*z = 2*o - 266, 5*z + 231 = g*o. Let c = -44 + o. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f**3 + 6 - 4*f + f + 4*f**2 - 6*f**2 - 13 in the form t*f**3 + k*f**2 + c*f + g and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (10*21*16\/(-120))\/2\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pb when two letters picked without replacement from pppbpppbpppp.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (38 - 26 - 44) + 13?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -40, -75, -102, -115, -108, -75, -10, 93?\n\"Answer: s**3 - 2*s**2 - 36*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**3 - 4*f**3 + 0*f**3)*(2*f - 2*f - 6*f).\nAnswer: 12*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 3 = 5*d + 20, -d - 3*g + 5 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3 = -7. Let m(d) = -d**3 - 32*d**2 - 4*d - 127. Let t be m(-32). What is the highest common divisor of y and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*a - 729200 = -15983. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -1218 + 1248 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 6*p**2 - 526*p + 1363. Let s be b(85). Solve q = -4*z + 28 - 12, 19 = -q + s*z for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -2506, -5, -26, 2\/9.\nAnswer: -2506, -26, -5, 2\/9, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(-9)\/(-6)*2. Suppose 0 = 4*o - 5*o - 5, -v + 200 = -g*o. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 5*p, 4*p = -3*z - 5 + 1. Let k(j) = j**3 - 3*j + 3. Let d be k(2). Solve -2*m - 18 = -d*a, z = 4*m - 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 251814.47 - 253504.5619. Let h = n + 1690. What is h rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**5 - 22*g**4 - 146*g**3 + 3900*g**2 + 8721*g - 140454.\nAnswer: (g - 17)**2*(g - 6)*(g + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1322 (base 6) to base 5.\nAnswer: 2323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 19*q**2 - 32*q - 208. Let y be w(21). Solve y*t - 2*z = 6, -3*t + 12*z + 5 = 11*z for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*h = -10 - 26, 2*j = -h + 4. Suppose j*u - 3 = 73. Let d = 27 - u. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 11:16 PM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 46316282?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*t + 668*t + 21 + 165 - 16*t**2 + 17*t**2.\nAnswer: t**2 + 803*t + 186","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 76\/(-14) + 0 + (-30)\/(-70)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -12182, -166 in increasing order.\nAnswer: -12182, -166, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, t: 1, l: 3, z: 3, m: 1}. What is prob of picking 1 l and 2 z?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of 507*b**5\/5 + b**4\/12 + b**3\/6 - 5*b**2\/2 + 2847*b. What is the second derivative of l(i) wrt i?\nAnswer: 12168*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 425 divide 46370475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 47*i*p + 7*i - 2922*p wrt i?\nAnswer: 47*p + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2203916*i**2 + 2203998*i**2 + 15 - 15.\nAnswer: 82*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 10:56 AM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(68) + sqrt(68) + (1 + sqrt(425) + sqrt(425))**2.\nAnswer: 24*sqrt(17) + 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 6*o**3 - 13*o**2 - 5. Let j(q) = 17*q**3 - 35*q**2 - 15. Let h(u) = -11*a(u) + 4*j(u). Let v(k) = -7*k**3 - 8*k**2 + 14. What is -8*h(r) - 3*v(r)?\nAnswer: 5*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -9*k**2 - 16254*k + 16253. Calculate o(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/22848 and -45\/11968.\nAnswer: 251328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -264\/5 + 7641\/145. Let p be (2\/(-3))\/(10\/(-15)). Is p <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/11, 100, -0.17, 3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -8670 * -15\nAnswer: 130050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 834551117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -12, 11, -2, 8401, 5, -3 in descending order.\nAnswer: 8401, 11, 7, 5, -2, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 135*x**4 + 102*x**2 - 99*x**2 + 5 - 5 to the form j*x**2 + v*x + f + q*x**3 + o*x**4 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 + -6)\/((-2)\/(-4)). Let z be 2 + (304\/195)\/1. Let x = z - 48\/13. Which is the closest to -2? (a) f (b) x (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + -2 + 2 + (7 - -2). Which is the closest to 2\/5? (a) -0.4 (b) 0.06 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -bc + -dca?\nAnswer: -e86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y + 7 - 13 - 1 + 3*y - y + 54*y**3 as k + d*y**3 + z*y**2 + g*y and give d.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1444840?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6929*x + 6927*x + x**3 - 2*x**3 + 9 + (-2 + 2 + x)*(5 - 5 + 2*x**2).\nAnswer: x**3 - 2*x + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-135)\/(-243)*(-903)\/430.\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-6)\/30)\/(0 + (-5)\/(-25)) - -238 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -6221*y - 38523. Give x(-6).\nAnswer: -1197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-710)\/3)\/(-5)*(-1 + 238). Find the first derivative of 11340 + 3*t - s + t wrt t.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 536685\/10 + 4\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 508709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 12*v + 21. Let d be ((-19)\/2 - -8)*v. Suppose 1\/7*c**4 + 4\/7*c + 1\/7*c**5 - 5\/7*c**2 + 4\/7 - 5\/7*c**d = 0. Calculate c.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 2*u - 4*x, -3*u + x - 32 = -x. Let d be 3 + 0 + u + (2 - -7). Solve 3*c + 10 = -4*z, 3*c + 2*c = -d*z - 6 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -593, -594, -595, -596, -597?\nAnswer: -598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**5 - 8*m**3 - 844 - 844*m**4 - 141388*m**2 + 4*m + 143076*m**2 + 5*m**5 = 0 for m.\nAnswer: -1, 1, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*t + 45 = 129*t. What is the greatest common divisor of t and 435?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + -53.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -469 - -1858. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -u**4 + 258567*u**2 + 204*u - 301976325 wrt u?\nAnswer: -4*u**3 + 517134*u + 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2008, -3413, -4818?\n\"Answer: -1405*f - 603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - o**2 + 37. Let b be (3 - (-20)\/(-8))*14. Let z = -7 + b. Let y be p(z). Solve -3*i - y = -5*t, 0 = -5*i + t - 0*t - 25 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56*t + 2*t + 263*t to the form b*t + g and give b.\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -q**4\/24 + 7*q**3\/18 - 5*q**2\/4 + 3*q\/2 - 201. Find f such that x(f) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 63 + -1 - (12 + -10). Suppose -6*l + l = 5*n - k, n = -2*l + 25. Solve 0 = -4*u - 1 + l for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 719 + -545. Is 8 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 78*i**2 + 13*i - 47. Is q(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 12:10 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2 + 5*b - 9. Suppose -4*x - 2*y = 20, 7*x - 2*x = 3*y - 14. Let r be k(x). Solve -4 = r*i - u, 2*u + 2 = -3*i - 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3305.5 rounded to the nearest 10?\nAnswer: -3310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 13 + -7 + (-7 - (6 + -11))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, r: 1, y: 8, u: 5}. What is prob of sequence ppur?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p + 1. Let q be g(-6). Suppose -8 = -q*c + 5*c. Calculate the remainder when 9 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -6726?\nAnswer: -1345.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**5 - 25*d**4 - 72*d**3 - 85*d**2 - 58*d - 12. Let k(w) = 24*w**4 + 72*w**3 + 84*w**2 + 60*w + 12. Let y(z) = 4*f(z) + 3*k(z). Solve y(b) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-476)\/(-6426) - 266\/(-54)) + 19.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5871555 to the power of 1\/2, to the nearest integer?\nAnswer: 2423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 896549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-33872)\/(-32))\/(-73))\/((-2)\/(-4)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - (2 - 4 - -3))*1. Solve j = -4*k + 17 + 3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 627 and 30.\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 473967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13102012 (base 4) to base 14.\nAnswer: ac2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3549272548 to the nearest integer?\nAnswer: 59576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 5a74?\nAnswer: -5a74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4*(sqrt(15)\/sqrt(3) + 5)*5)**2.\nAnswer: -36000 - 12000*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*a = 4, -4*g - 2*a = -20 + 4. Solve 3*f - 3 = -3*t + 9, -22 = -g*f + 2*t for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - 24992\/(-1792))\/(-3)?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 6:45 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6 times 5\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.29 - -1.29. What is the nearest to i in 1\/7, -0.4, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide -9 + 4 + 4 - -78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - -7. Let r = d - 12. Suppose r*n - 117 = n. What is the greatest common factor of n and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -24488\/61 (b) -21 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 8:55 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 10*c**2 + 158*c - 7. Let j(v) = 18*v**2 + 314*v - 13. What is -6*j(k) + 11*z(k)?\nAnswer: 2*k**2 - 146*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 762108449?\nAnswer: 19, 40110971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 26\/(-7)) + 4\/14.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 3*d - 3. Let p(u) = u**2 - u - 1. Let w(h) = j(h) - 3*p(h). Let c(n) = n**2. Calculate c(w(k)).\nAnswer: 16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) 16 (b) -0.7 (c) -4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 7*y. Suppose f + y + 15 = 0. What is the units digit of f\/9*6\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12020120011 (base 3) to base 15.\nAnswer: -2089d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 3*b - 5 = 0, 5*v - 1 = -74073*b + 74078*b - 6 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73154164*s + 10*s**2 + 73154164*s.\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of 3*g**5\/20 - 7*g**3\/6 + 4*g. Find the second derivative of n(j) wrt j.\nAnswer: 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8106269836 to the nearest integer?\nAnswer: 90035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9147307.\nAnswer: 13, 23, 30593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*w**3 - 26*w**2 - 13*w**3 - 7*w**3 - 110*w**2 + 26*w**3 in the form u*w**3 + c*w + g*w**2 + n and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -193 + v - 2*v + 215 as l + g*v and give l.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*u + 27*u + 44 + 30*u as j + s*u and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 137*d**2 - 5. Let f(u) = 69*u**2 - 2. Calculate 2*c(z) - 5*f(z).\nAnswer: -71*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3386)\/(-9)*(-4)\/592. Let j = -21624\/5 + 799443\/185. Let r = p - j. Calculate the common denominator of r and -105\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.96 (b) -5 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 1 + 6*a**2 + 12.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -77 - 3?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5969?\nAnswer: 47, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o + 3. Let f(r) = 3*r + 2. Let c(t) = -3*f(t) + 4*m(t). Let p be c(1). Solve 0 = -2*q + s - 15, 2*s + 10 = q + p*s for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 962 + 962. Let k(r) be the second derivative of r**6\/240 - r**4\/6 - 2*r. Let y(n) be the third derivative of k(n). Calculate v(y(m)).\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 1)*(-9*s**4 + 87 - 87) - 3*s**4 + 5*s**4 - 4*s**4 + (3*s**2 + s**4 - 3*s**2)*(-4 + 3 + 0).\nAnswer: 6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 360461?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-2)*(-1)\/(-1). Suppose 0 = -3*x + 5*z + 92, -2*x + k*x - 2*z = -40. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 219 - 33. Calculate the least common multiple of 1 and x.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -24. Suppose 7*r + 22 = -d*r. What is the nearest to -2 in -0.02, r, -3\/8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*n = -n + 14, -2*g + 3*n = -13. Is (253\/g - 2) + (-17)\/(-34) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08382 + -4.\nAnswer: -4.08382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 161 = 2*o. Let k = 57787 + -57703. What is the remainder when o is divided by k?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.454092mg?\nAnswer: 0.000454092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 499950 and 1212.\nAnswer: 999900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 1.16393571\nAnswer: -7.83606429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*h**3*j**3 - h**3*j**2 + 304122*h**3*j + 248*h**2*j**3 + 1367*h*j**3 - h*j + h - 2*j wrt h?\nAnswer: 18*j**3 - 6*j**2 + 1824732*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, h: 2, n: 2, i: 1}. Give prob of sequence hnn.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66030?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257469778 - 257469778 - 8*b.\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-3*sqrt(117)*-2 - sqrt(117))\/(sqrt(9) - 6*sqrt(9)*1) - (sqrt(13) + sqrt(143)\/(sqrt(22)\/sqrt(2)) + 3 + 5*sqrt(26)\/sqrt(2)*-2))**2.\nAnswer: -56*sqrt(13) + 653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k*k\/(k\/k**(-5))*k*k*k*k\/(k**(-6)*k*k))\/(k\/k**(-3)*(k\/k**(-2))\/k))\/(k\/((k\/(k*k**(-7)))\/k)*k**1\/k*k*k*k**4*k*k**(-1)*k*k) assuming k is positive.\nAnswer: k**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -797417*w - 59380*w - 236780*w - 72818*w.\nAnswer: -1166395*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-36452)\/(-7020) - 5*1 and -11\/12?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 8*u + 54 = 0. Let p be (-4)\/(-3)*(u\/12 + 6). Solve -4*z + 14 = -3*w + 4, 0 = 3*z + p*w + 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64 + -39. What is the greatest common divisor of n and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(24\/(-15))*1. Let h = 1235 + -811. Let j = h + -423.7. What is the closest to 10\/3 in k, -0.2, j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/10759 and 167\/758814?\nAnswer: 40217142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15.69 - -14.9. Let r = -0.29 - w. Suppose -2*k - 2*k = 0. What is the closest to 0.2 in k, -4, r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5721\/1664 + 45\/13. Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4294.\nAnswer: 2, 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*(-4 - (-2 + 0)). Let d = 14 + z. Suppose -p - 5*m - d = -2*p, 0 = 2*p - 3*m - 13. Which is greater: -2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1951 divide 58639256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -137.6 + 137.6. Which is the nearest to -1? (a) 1\/9 (b) -2\/11 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1810418 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: Let a(n) = 78*n**2 - 3*n + 1. Suppose 0 = -b - 12*u + 8*u + 50, -u = 14*b - 370. What is the remainder when a(2) is divided by b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9\/16 of a century?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**6\/(g\/(g**(-13)*g)))\/(g**(-3))**19)**(9\/8))**(3\/7) assuming g is positive.\nAnswer: g**(675\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 321 and 6099.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 2 - (-5 + 7 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 m when two letters picked without replacement from ooomom.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 670.338 hours?\nAnswer: 2413216800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 621272095.\nAnswer: 5, 53, 1481, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 2*m - 6*m. What is the remainder when 23 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16924356349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 4*g**3 + 10*g**2 + 12*g - 5. Suppose 3 = -u - 0. Let r(v) = -v**3 - v**2 - v + 1. Let a(b) = u*r(b) - j(b). Is a(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 5\/4, 0.5, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 11 = 3*s + 5, -4 = -s. Let 2\/3*b**4 - 2\/3*b**w + 0*b + 2\/3*b**5 - 2\/3*b**2 + 0 = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*u - 2. Suppose -5*d = u*v - 20, 3*v + d - 16 = -0*v. Let t = -9 - -10. Calculate the lowest common multiple of v and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 6*y**2 - 28*y + 23. Let o(n) = 2*n**2 - 9*n + 8. Give -17*o(z) + 6*w(z).\nAnswer: 2*z**2 - 15*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -393*b**3 - 160*b**3 + 550*b**3.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 8:05 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 7*r + 300. Let m = -38 - r. Solve -4*c = -6*c - m for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224 is divided by -2 + (-713)\/(-9) - 2*5\/45?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -j**5\/6 - 609*j**2. Let l(w) = -45*w. Determine l(s(n)).\nAnswer: 450*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3231545 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -7, -86, 1\/9, -1, 2?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by (-3)\/5 - 1224\/(-40)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 229 - 232. Let m = -0.579 + 0.079. What is the fourth smallest value in m, -9, d, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 1. Let j = -89\/279 - -3\/31. Let x be (-10)\/15*3\/(-4). What is the nearest to -2\/3 in t, j, x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkktktkttt. What is prob of picking 3 k?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6864 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8873 + -1674. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 27902.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r - 3 + 3)*(-130 + 130 - 36*r) + (-r + 1 - 1)*(-36 + 36 + 10*r) as f*r + i*r**2 + g and give i.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - l + 2. Let v(q) = -4*q**2 + 3*q - 5. Let s(n) = -2*v(n) - 7*w(n). What is the units digit of s(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from {s: 10, h: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 988 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: Convert -3 (base 7) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.5 - 0.5. Let i = -46 + 50. Put i, 2\/5, -4, m in decreasing order.\nAnswer: m, i, 2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = 26*c - 123*c - 2380 for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 71358 and 1569876?\nAnswer: 1569876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 5 - 5 = 0. Suppose -5*z + 52 = 2*i + 6, -a*z + 12 = 4*i. Solve -2*c - z = 3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -683721.086 - -683884.0859877. Let k = 163 - p. Round k to six decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 2*n + 5*b, 0*b = -4*n - b - 12. Sort n, -1, 4 in increasing order.\nAnswer: n, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.1 - 8.5. Let n be (-6)\/39 + -2 - -2. What is the biggest value in 0.1, n, u, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -6*q + 3*q. Suppose v + q*v = 378. Let w = v - 75. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 2*m + 2. Let b be x(0). Suppose c**b - 22*c**4 + 23*c**4 - 3*c**3 + 2*c**2 - c = 0. Calculate c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 6*y + 3*y + 1)*(0 - 4 + 5)*(4 - 3 + 0)*(0*y**3 + 3*y**3 - 5*y**3) in the form o*y + d*y**2 + x + w*y**4 + m*y**3 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 3*p + 13, 3*a + 16 = a + 4*p. Suppose -2*i - 32 = -4*i + a*z, -4*z = 16. Calculate the remainder when 46 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - ((13 - 7) + 1 + 3 - 14)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20578*h**3*m**2 - 3588148*h**3 + 16*h*m**3 - 3*m wrt m.\nAnswer: -41156*h**3*m + 48*h*m**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 5*f - 18, 5*f + 51*x = -45*x + 91*x for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n**3 - 3*n**2 + n + 1. Let p(u) = u - 6. Let c be p(7). Let j(x) = x**3 + x**2 - 1. Give c*i(h) + j(h).\nAnswer: -2*h**3 - 2*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-28)*2*(-5)\/((-150)\/(-1)).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c - 11*c = 0. Solve 5*a + 5*x - 4 = 6, -2*a + 3*x - 6 = c for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 113, -90, -46 in ascending order.\nAnswer: -90, -46, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -27398 rounded to the nearest 100?\nAnswer: -27400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1027.98 - 1028. What is the biggest value in 1, -12, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z + 1. Let b(p) = 16*p + 6. Give 2*b(r) - 11*u(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.089 * 80.\nAnswer: -7.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 13*v**2 - 3*v - 26. What is the remainder when s(-13) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 12*q**2 - 5*q - 2. Let v be (4\/(-2))\/(1739\/(-74) + 24). Let c(d) = -23*d**2 + 9*d + 3. Give v*c(k) - 7*n(k).\nAnswer: 8*k**2 - k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16051171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 3:14 PM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 s when two letters picked without replacement from {s: 2, i: 2, w: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**4 + 2*c**4 - c**4)*(-3*c - 2*c + 7*c) + 1967*c**5 + 9284*c - 9284*c - 2*c**5 - c**5 + 2*c**5.\nAnswer: 1964*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -309 (base 10) in base 6?\nAnswer: -1233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 241*n**4 - 101*n**2 - 184*n**4 + 6*n**2 + 0*n + 0*n wrt n.\nAnswer: 1368*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sf when two letters picked without replacement from {o: 3, s: 3, f: 7}?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 87 and 609?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 11506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 55, 40, -1, -80, -209, -400, -665, -1016?\n\"Answer: -2*z**3 - z**2 + 2*z + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0\/x*x)**(-2\/37)\/(x**2)**(1\/19) assuming x is positive.\nAnswer: x**(-2\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 153631?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 2*r**2 - 4*r - 3. Let k be n(-2). Solve -k*q - 2*i - 15 = 0, -q - i = 2*q + 8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000642705 to 6 decimal places.\nAnswer: -0.000643","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddiddwmmmzywmdwyzdwy. What is prob of picking 1 i, 1 d, and 1 y?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (246 - 245) + (-22 - 2) + 4.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 50 in 2\/5, -0.6, 0.3, 0.42?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p - 4. Let x be v(4). Suppose 4*q + b = x*b + 36, -10 = q + 4*b. What is the third derivative of -q*j**3 + 9*j**3 + 10*j**2 + 9*j**2 wrt j?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 4785024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i. Let l(c) = -11*c. Suppose -r + 3 - 1 = 0. Suppose 0*z + 68 = -r*z. Let s(v) = -2*v. Let y(d) = z*s(d) + 6*l(d). What is a(y(j))?\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -187, -2\/3, 1\/6?\nAnswer: -187","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4667.807 - -4664. Let j = -0.193 + p. Which is the closest to 0.1? (a) 0.4 (b) j (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -10. Let v = 8 - 6. Suppose v*n + 4*x + 15 - 147 = 0, 2*n - x - 107 = 0. What is the greatest common factor of n and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 512224556?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24102*h - 8664 = -24558*h for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 2*h**2 + 3*h**3 + 175*h - 971*h + 4 + h**2.\nAnswer: 3*h**3 + 3*h**2 - 796*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 2:34 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0016120128107 rounded to 4 decimal places?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 120*z - 24. Let d(l) = -3120*l + 630. Calculate -105*c(q) - 4*d(q).\nAnswer: -120*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (4 - (3 - 3))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 t when two letters picked without replacement from vvtttttvbvvttovt.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**2 + 364188*q - 63794150 = 0.\nAnswer: -182269, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, d: 7}. What is prob of picking 3 z and 1 d?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/3, -5, -15\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -313 + 58 + 11 + 63*y**2 + 2*y - 408 + 116.\nAnswer: 63*y**2 + 2*y - 536","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + (-338)\/2 - 0. What is the tens digit of (-68)\/136 - u\/(-2)*-7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (80\/6)\/(5800\/15225)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32944477 and 12572?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -7*s**2 - s + 5. Let u(t) = -t**2 - 1. Let c(z) = n(z) + 5*u(z). Let b be (992\/(-1760) - 4\/(-11))\/(1\/(-5)). Determine c(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 4*c + 6*g + 16, -5*c + g + 8 = 0. Solve c = 12*u + 81 - 33 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*v**3 + 300*v**3 + 50*v**3.\nAnswer: 394*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-9))\/(((-3458)\/2028)\/(-19)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3221231114 (base 5) in base 12?\nAnswer: -234b268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 631?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (90\/(-27))\/(((-100)\/24)\/5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003195 rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -5*y**4 + 46075*y**3 + 27887255*y**2 - 46075*y - 27887250 = 0.\nAnswer: -570, -1, 1, 9785","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33 + -222200002300?\nAnswer: -222200002201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8608, 17187, 25770, 34357, 42948?\nAnswer: 51543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22709336 and 11354668.\nAnswer: 22709336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 43 (b) 0.3 (c) -1 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 + 15 + 38 + 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/(231\/(-4))*(-91)\/(-702).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*p = -715 - 65 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + x - 8 = 0. Suppose -3 = 2*q - 3*q. Let z(o) = o - o**x + 1 + 3*o - q*o. Determine z(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-304)\/16*387\/(-4085).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 580 + 1216?\nAnswer: 1796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/218283 and -57\/1930.\nAnswer: 2182830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 482134108 to the power of 1\/3, to the nearest integer?\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8721221885 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/6)\/((-516)\/172602). Calculate the highest common divisor of h and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1b0 (base 16) to base 9\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 m when three letters picked without replacement from szazzfafmsss.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2070369.\nAnswer: 3, 7, 59, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1235077975.\nAnswer: 5, 31, 59, 27011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30*c - 2*c**2 - 8 - 24 - 2*c**2 + 66*c.\nAnswer: -4*(c - 8)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 22937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*b*c**5 - 2*b*c + c**5 + c**3 + 2*c**2 - 3*c wrt c?\nAnswer: -480*b*c**2 + 60*c**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -11 + 8 + 2*(-26)\/4. Let u = 6 + -3. What is the remainder when (18\/x + 1)*-10*8 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**4 + t**2 + t + 1. Let q(a) = 9*a**4 + 4*a**2 + 6*a + 23. Let w(c) = -4*n(c) + q(c). What is the derivative of w(s) wrt s?\nAnswer: 20*s**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16a66a + 2?\nAnswer: -16a668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8442283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 15*h**2 + 3*h. Suppose 182 = -35*u - 56*u. Let f(w) = -15*w**2 - 4*w. Give u*f(c) - 3*d(c).\nAnswer: -15*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 2*j**2 + 3 + j**2 - 3*j + j**3. List the prime factors of a(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -178.5 + 2745747?\nAnswer: 2745568.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 - 5*m**2 + m**2 - m**2.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -572, -533, -508, -503, -524, -577, -668, -803?\nAnswer: -988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11229 + -7829. What are the prime factors of f?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53187\/4 - 13082. Let f = q - 213. Which is smaller: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 576400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**19*d**25)**(2\/31) assuming d is positive.\nAnswer: d**(88\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 0 + (-70 - -50) + (-4 - 11)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -11.7. Let v be 4 + (-148)\/15 + 6. Let f be (-2)\/4 - (-2)\/3. Put f, o, v in decreasing order.\nAnswer: f, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 5:16 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 176*f**2*z + f**2 + 9*f*z**2 + 8084*f - z**2 with respect to z.\nAnswer: 176*f**2 + 18*f*z - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32*u - 20 + 17*u**3 - 20*u - 12*u wrt u.\nAnswer: 51*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 27 = 4*s - 57, -s - 108 = -5*n. What is the remainder when 41 is divided by n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-168)\/(-12)*(-6369)\/(-54) - 4\/18 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: -1029 divided by 49\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -67.8 + 77. Let g = 29.8 + x. Let a = -44.8 + g. Round a to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - s + 804. Suppose 2*r = -s + 1263. Let q = -338 + r. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.2553 + 0.8553. Which is bigger: a or -265?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + w - 20 = 4*w, -w - 50 = 4*d. Let z = d - -41. Differentiate 3 - 7 - 16*i**4 + z*i**4 wrt i.\nAnswer: 48*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -116, 9, 5, -0.4, 0.5.\nAnswer: -116, -0.4, 0.5, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-513*i**3 + 288*i - 604*i + 316*i)*(-3 + i + 3).\nAnswer: -513*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -139a (base 13) to base 8.\nAnswer: -5417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 234 - 41. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -7*r**2 - 3*r + 3. Let h(j) = -j**2 - j. Let w(m) = -6*h(m) + k(m). Let n be w(4). Let u be (n - 1) + 7\/4. Which is smaller: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 921935990 rounded to the nearest one hundred thousand?\nAnswer: 921900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 4. Suppose -20*r + 14880 = 12*r. Suppose -f*j - 69 = -r. Calculate the highest common factor of 33 and j.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -212 + 216. Solve 0 = -y - q*y - 25 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(-3 - 3*a - 5*a + 6*a).\nAnswer: -2*a - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a - 3. Let s(m) = 5*m - 6. What is -9*j(g) + 4*s(g)?\nAnswer: 2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 12 = -4*w, 5*y + 3*w = 22 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 102021, 102651, 103281, 103911?\n\"Answer: 630*k + 101391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - w = g - 13, -g - 5*w = 11. Let f(h) be the second derivative of 0 + 0*h**2 - 2\/9*h**3 - 2*h + 1\/18*h**g. Factor f(u).\nAnswer: 2*u*(u - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by (-3)\/(-9) + (-14)\/(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 11*g**3 + 7*g**2 - 2*g - 4. Let q(d) = -5*d**3 - 3*d**2 + d + 2. Calculate -7*q(w) - 3*x(w).\nAnswer: 2*w**3 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-6 - -24) - (-10)\/6. Let n be 64\/28 + 8\/(-28). Suppose 0 = m*l - 3*b - 220, n*b = 3*l + 4*b - 356. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, n: 2, o: 9}. Give prob of picking 2 n.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 110250 and 945?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 23*u**2 - 3469*u - 4111. Give y(152).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d (base 16) in base 6?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25554749 is divided by 8518244?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -15*c**2 + 239*c + 66. What is x(16)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1891 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 7*w = -314. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -37*v**2 + 61*v + 2. Let y(j) = 13*j**2 - 21*j - 1. Let h(k) = 6*n(k) + 17*y(k). Let r be (-42)\/(-4)*(-4)\/(-6). What is h(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.3, -9, -1\/4, -6\/272323, -2?\nAnswer: -6\/272323","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11041 + -1320320?\nAnswer: -1331411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, 0.4, -14, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddc. Give prob of picking 2 d.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*h - 52 = 4*h + 6*h. Put -4, -55, -1, 0, h in increasing order.\nAnswer: -55, -4, -1, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -10. Let r = 6 - 3. Differentiate -b**4 - b**r - 2 + b**z with respect to b.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(125\/50 + -7 - 93\/(-18))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 8 = 4*v. Suppose v*i = 2*g + g + 9, i = 2*g + 1. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from apoopbobaoip. What is prob of sequence bp?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 17\/6*h**3 + 8 - 23\/2*h**2 + 4*h. Find the first derivative of t(b) wrt b.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = 7*j - 13. Sort 1, -18, j.\nAnswer: -18, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 80107047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 81173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/(-6)*(0 - -3). Let z be 70\/8 + (-6)\/j. Let o(i) = -i + 8. Calculate o(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6664.4946 minutes in days?\nAnswer: 4.62812125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.011434186023 to six dps.\nAnswer: -0.011434","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 8:17 AM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2993676 divided by 15.\nAnswer: -997892\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2\/((j\/j**(-1\/8))\/j))**(-33) assuming j is positive.\nAnswer: j**(-495\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1111066496*v**3 + 503132330*v?\nAnswer: -6666398976*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -19*w**8\/336 - w**4\/3 - 4*w**2. Find the second derivative of p(q) wrt q.\nAnswer: -380*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2 - 72*z + 201. Let g be r(33). Put 7, -1, g in increasing order.\nAnswer: -1, g, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 9*j = -54, -5 - 2 + 8 = 8*v - 5*j + 14 + 17 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 7*c**2 + 3*c + 2. Let z be j(-5). Suppose -4*n + 514 = z. Suppose 5*u - 88 = -4*x, u = 2*x - 6*x + n. What is the remainder when 64 is divided by x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -1500*l**5 - 7500*l**4 + 21405*l**3 - 246*l**2 - 20553*l + 7098 = 0.\nAnswer: -7, -1, 2\/5, 13\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.45 less than or equal to -327?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/5 + 12*z**2\/5 - 72*z\/5 + 16.\nAnswer: 2*(z - 2)**2*(z + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -63 + 12.1365984.\nAnswer: -50.8634016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 6:00 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 - 10*o + 5*o**2 + 3*o**2 - 6*o**2.\nAnswer: 2*o**2 - 10*o + 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -100693051*b**3 + b**2 - 3*b + 881203.\nAnswer: -604158306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - l**2 - 3*l - 2. Let o(d) = 4*d**3 - 3*d**2 + 19*d - 1. Let z(x) = -3*b(x) - o(x). Calculate z(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-54)*(3\/(-105)*-52)\/((-648)\/(-2268))?\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1205 or 1206?\nAnswer: 1206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18047\/84 - -643\/3. What is the common denominator of b and -20\/7?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/53838 and -131\/47856?\nAnswer: 430704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 497\/516 - 34477\/2580. Let l be 4\/14 - (-2164609)\/714. Let s = 9103\/3 - l. What is the common denominator of k and s?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 235067 (base 13) to base 15\nAnswer: 118a5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/3 + 11\/(-33). Let j = 10 + -16. Let h = r - j. Sort h, 0, -5.\nAnswer: -5, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(153)*1 + sqrt(153) - (1 + 0 + sqrt(153)))*-5)**2 + (sqrt(153) + (sqrt(153) + -3 + -4 + sqrt(153))**2 - (-1*-4*sqrt(153) + sqrt(153))).\nAnswer: -396*sqrt(17) + 15986","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*d - 5 + 11 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -294 + 6*t + 4*t + 277 + 0*t - 2*t - 7*t.\nAnswer: t - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/16 and 79\/5902 - (-102)\/1326.\nAnswer: 3632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11145 (base 9) to base 10\nAnswer: 7412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 78*v**3 - 5 + 0 + 4 - 7*v + 11*v as q*v**2 + p*v**3 + w*v + z and give p.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -3. Let s(p) = -p**2 - p**3 - p**2 - 3*p**2 + 7*p**3 + y. Let m(j) = -7*j**3 + 6*j**2 - 6. Calculate -5*m(q) - 6*s(q).\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.021 - 0.021. Let j = 4 + -3.9. Let z = 3.02 + -0.02. Which is the closest to h? (a) -2\/9 (b) z (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvwvwvvwvvv. What is prob of picking 3 w?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 436 + -348. Let i = -0.06 - -0.06. Which is greater: w or i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a + 5. Let m be y(-5). Suppose -2*g + m = 2. Let p = g + 5. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.278+475479021\nAnswer: 475479021.278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 - 1966*x - 147764.\nAnswer: -2*(x + 82)*(x + 901)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3893644, -3893581, -3893518?\n\"Answer: 63*t - 3893707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -525*x - 1444 = 131 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-12)\/(-1722))\/(24\/56))\/((-2)\/(-6)). Which is the nearest to 0? (a) -0.01 (b) 0.5 (c) j (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pu when two letters picked without replacement from {u: 9, p: 11}?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 4) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -171.9042 rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -2*s - 425. Let f = 472 + s. Calculate the highest common divisor of f and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/1248 and 1\/156.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1359, -5908, -13481, -24078, -37699, -54344, -74013?\n\"Answer: -1512*s**2 - 13*s + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10558 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: Round 0.001305217 to 6 dps.\nAnswer: 0.001305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3740, -3739, -3738?\nAnswer: -3737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - 7*o - 1. Suppose 5*a = 4*d - 0*a - 35, 3*d + 4*a = 3. Let j be k(d). Let c = 13 + j. Solve 0 = 3*z - b, b - c*b = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18298 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 - (18 - -3) - (3 - 1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 434\/72 - 2\/(-9). Let w = c - 6. Solve -1\/4 - w*l**4 - 3\/2*l**2 - l - l**3 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 8:41 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12738 - -8627. Let g = -4088.01 - a. Let i = g + -23. Round i to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-40))\/((-14)\/(-4)). Let n = a + -3\/20. Let b = -0.095 + -0.305. Sort -5, n, b in descending order.\nAnswer: n, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.12 to 0 dps.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - (-3 - -9)) + 3 + 0.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 87*u + 83*u - 32 = 0, 3*k + 5*u = -42 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4, -55, -142, -265?\n\"Answer: -18*w**2 + 3*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -15534628 in increasing order.\nAnswer: -15534628, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2615294915 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3156*q + 12 + 1435*q - 13 - 4928*q**2 + 1 wrt q?\nAnswer: -9856","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -313*i**4\/12 + 7*i**3\/3 - i**2\/2 + 6*i + 20. Find the second derivative of z(c) wrt c.\nAnswer: -626","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 9:10 AM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-846)\/45 - 1\/5. Let a = -17 - h. Suppose a*m - 32 = 3*c, 2*m + 0*c = c + 24. Calculate the remainder when m is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3.526884 nanometers?\nAnswer: 0.003526884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 + -36. Solve 3*s = -d*r + 6, 4*s + 2*r + 10 = 5*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2994\/42 - (-4)\/(-14)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 6*s + 375 = 0. Let r = -73 - s. Suppose -21\/4*o**3 + 21\/4*o - 3\/2 + 3\/2*o**r = 0. Calculate o.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 8:24 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 413*w - 419*w = 24 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 + 26. Which is smaller: -13\/2 or i?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**2 - 23*k + 34. Let c = -2 - -4. Calculate the smallest common multiple of 2*(-8)\/(c\/(-2)) and x(-12).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, y: 1, n: 1, u: 1, d: 2}. What is prob of picking 2 d?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/11 (b) 2 (c) 0.217\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 403 + -267. Suppose 3*h = -z + 32, -5*h = -3*z + 146 - 106. What is the remainder when r is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -199228 by -41.\nAnswer: 199228\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 871214, 1742578, 2613942, 3485306?\nAnswer: 4356670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, o: 8, j: 1}. Give prob of picking 2 k, 1 j, and 1 o.\nAnswer: 48\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 175 + -175.03. Let y = -28.87 + a. What is y rounded to the nearest integer?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-70) + (-92)\/(-230). Let v = 0.36 - 0.06. What is the nearest to l in 4\/7, v, 1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4*z**2. Let j(d) = 65*d**2. Let u(p) = -1430*p**2. Let w(b) = -65*j(b) - 3*u(b). Let l(i) = -16*i**2. Let o(q) = 9*l(q) + 2*w(q). What is r(o(v))?\nAnswer: 784*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qavq. What is prob of sequence qqa?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35708 is divided by 72?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-2) - (-6 + 8). Let c be -1 - (3 - 4 - y). Suppose -4*t + 3*h + 6 = 0, -c*t + 14 = 2*t + h. Solve 0 = -4*a + 4*v, 8*v - t*v = 4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 1304 = -2*g, 2*g + 1878 - 566 = 4*t. What is the remainder when 2296 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1911*y = -1921*y + 420. Calculate the remainder when 203 is divided by y.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 6*f + 8. Let r be w(6). Solve 2*s + r = o - 2*o, 0 = 2*o - 2*s - 8 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.20859 and -0.1182.\nAnswer: 2.09039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8779 + 3*b - 10108 - b to the form f + g*b and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 3*x. Suppose x*n + 8 = 2*n. Let u be 1\/n + (-1)\/4. Solve 19 = 3*c + 6*w - w, u = 2*c - 4*w + 2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (21\/(-28))\/((-2)\/(-8)). Let x be (8\/36)\/(1\/c). Put -0.1, -0.2, x in ascending order.\nAnswer: x, -0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, v: 2, k: 2, c: 1, o: 1, t: 7}. Give prob of picking 1 s and 2 t.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1534777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 8*t**2 - 62*t - 10. Let k(f) = -4*f**2 + 30*f + 4. Give -2*a(w) - 5*k(w).\nAnswer: 4*w**2 - 26*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffxlwllwflffwlwfxx. Give prob of sequence fll.\nAnswer: 70\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -2*n + 11, 4*x = -4*n - 0*n + 16. Suppose -3*d = 21 - 3. Let f = d + 8. Which is greater: f or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -c**5\/60 - c**4\/6 - 2*c**3\/3 - 10*c**2. Let a be n(-5). Is 409*3\/a*-3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(1\/5))\/y*y**(-2\/17)*(y**(-2\/13)*y)\/y**(-18) assuming y is positive.\nAnswer: y**(20916\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 35478479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 11 + 7 + -24 + 54.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 c when four letters picked without replacement from {x: 2, c: 3, b: 3, h: 8}?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 3:34 PM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (114\/(-18))\/(-12 - (-13)\/78*66)\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 75*z**3 - 6541215*z**2 - 5233008*z - 1046604 = 0.\nAnswer: -2\/5, 87217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**5 - 4*x**4 - 72*x**3 + 208*x**2 - 160*x.\nAnswer: 4*x*(x - 2)**3*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6858.1 + 6858. Which is the closest to 0? (a) n (b) -10\/11 (c) -2 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57800 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 48850 divided by 4?\nAnswer: 24425\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-6)*4)\/((-20)\/130 - (-6649)\/38064)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 786040 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 172 (b) 21 (c) -2 (d) -2\/9 (e) -1 (f) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/4637 + -4631\/13911. Which is the nearest to 0? (a) 1\/7 (b) 24 (c) -0.5 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ajcaorq. What is prob of sequence aoq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -16*l**2 - l. Suppose -3 = -w + z - 6, 5*w + 2*z - 13 = 0. Calculate g(w).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 78*d + 757. Let o be j(-10). Let k = -50 + 29. Which is smaller: o or k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-7)\/(s*(s\/(s**(-4)*s*s*s))\/s))\/(s**(-2\/9)\/(s*s*s**(-3)*s))*(s\/s**(1\/8))\/s**(-8)*s\/(s**4\/s)*s**(-4\/9) assuming s is positive.\nAnswer: s**(-169\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1652 (base 7) in base 11?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -16070719, -16070722, -16070727, -16070734, -16070743, -16070754?\n\"Answer: -h**2 - 16070718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 11 + 3 = 0. Let g be ((-14)\/(-21))\/(d\/(-3)). What is the units digit of (-4 - 1\/g) + 25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573)*2 + (-5 + sqrt(13) + 1)**2.\nAnswer: 29 + 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 + 2 - 8 - (-881)\/1?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l**6*x - 223*l**4*x**3 + 44*l**2*x**2 - 2*l*x**3 + 2*x**3 wrt l.\nAnswer: -120*l**3*x - 5352*l*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 10) in base 8?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2814980*d**2*x - d*x + 592*d + 81*x - 2 wrt d.\nAnswer: -5629960*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12*2\/(-10)*-5. Suppose -2*z + 186 = 3*v, -z - 5*v - 298 = -4*z. Calculate the highest common factor of z and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -351600 to the nearest 10000.\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 5:40 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1315*a - 1301*a = 140. Solve i - 7 = q - 10, -a = 2*i + 2*q for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15358 + 19247. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -6. Suppose i*a = 101 + 51. Calculate the remainder when a is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -974*w + 8753. What is m(9)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -6. Let l be 13 + (2 + q)\/3. What is the highest common divisor of 13 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -81 + 85. Solve 0*r + r - h*d + 6 = 0, d - 10 = -4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**2 - 28*i + 8*i - 4*i**2 + 4*i**2 in the form v + r*i + u*i**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27502.\nAnswer: 2, 13751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 561, 437, 313?\n\"Answer: -124*r + 685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by 52686.\nAnswer: -17\/52686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178*t - 23*t - 7 + 9 + 4*t**2 + 88*t.\nAnswer: 4*t**2 + 243*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43662 and 232864.\nAnswer: 698592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = d + 2*d. Let r = -4 + d. Suppose r*q = y - 64, 0 = 2*q - 6*q + 8. What is the greatest common divisor of y and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 3*c + 9 = 0, -4*t = 156*c - 151*c - 14 + 8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 103949424 and 3264?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25 or -0.4?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/18)\/((-1)\/(-12)). Let f = 0.032 + -0.432. What is the second smallest value in f, a, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -5*u - 3. Let c be o(-7). Let q be (-3408)\/c*2\/54. Let d = 25\/9 - q. Calculate the common denominator of -53\/2 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -0.039, -4, 178, 3 in increasing order.\nAnswer: -4, -0.039, 3, 11, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 20 = 2*o + 4*x, -2*x - 10 = 0. Solve -4*a = -0*a - 2*f + 6, o = a + 3*f - 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 702383901 to the nearest integer?\nAnswer: 889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 26*h + 94. Give q(-27).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -106.566 rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-2) - -69*(-70)\/4830.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/340 and 1\/340?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, w: 3}. Give prob of picking 3 w.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 667162.\nAnswer: 2, 333581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 79930.53m in centimeters?\nAnswer: 7993053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19980743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**0)\/g)**46*g**5\/(g\/(g\/(g*g**(-2\/5)))) assuming g is positive.\nAnswer: g**(22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 67 - 585*s**2 - 3*s - 61 + 584*s**2. Suppose 4*q = -3*a - 27, -a - q = -0*a + 8. Let z(x) = x**2 + 4*x - 7. Calculate a*z(v) - 6*n(v).\nAnswer: v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -143\/38 - -12657\/3116. Let r = s - 2\/41. Is r > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 129\/4 - 32. Sort 0.3, c, 0.1 in ascending order.\nAnswer: 0.1, c, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.8 + 0.2. Let t = 2.602 + -5.602. What is the closest to -0.5 in t, v, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*x + 5*x + 4*x)*(3*x**2 - x**2 + 29*x - 34*x) as o*x**2 + l + t*x**3 + q*x and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*r = -255*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*v**2 - 19*v**2 + 53*v**2.\nAnswer: -54*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 6 - 4. Suppose -670 = -4*u - m*i, 11*u - 6*u = -i + 845. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 902988 and 26244?\nAnswer: 24380676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 626*n. Let l(v) = -4*v**2. Give h(l(i)).\nAnswer: 16*i**4 + 2504*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w - 1. Let y be b(3). Let u = -3 + y. Let n = 10 - u. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 7) to base 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) + 2)*-5)**2*1 - (-1*sqrt(77)\/sqrt(7) + (sqrt(88)\/(sqrt(8) - sqrt(512)) - sqrt(11))).\nAnswer: 4915*sqrt(11)\/7 + 13575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -128, 5\/17, 0.12, 4, 0?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1 + ((sqrt(325) + 2)*1 - sqrt(325))*4) + -4)**2.\nAnswer: 961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -3*r + 210, -2*n + 36 = 3*r - 153. Suppose 0*c = -c + r. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 11*d**2 - 3*d + 3. Let c(q) = -4*q**2 + q - 1. Determine -3*a(w) - 8*c(w).\nAnswer: -w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 561\/(-561) - ((-1)\/1 + 1). Let i(l) = -l**3 - 4*l**2 + 5*l + 3. Let q be i(-5). Sort p, q, -4 in descending order.\nAnswer: q, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/2 and 2\/(-16)*261\/9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -4*a - 3*g, -13*a - 5*a = -2*g - 124 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -3*p + 50, 22 = 2*f - 3*f + 3*p. Let b = 10 + f. What is the units digit of (b\/(-1))\/((-12)\/16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 55 + 21. Suppose -5*l + p = -46. Calculate the greatest common factor of 143 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 4*n**2 - 4*n + 1. Let l be f(-3). Solve k = -k + l for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/16 + 280\/(-49) + 4.\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 198539 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53470921?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.020055 to 3 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -7*n**2 + 7*n**2 + n**2 + 2. What is f(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -218 + 615 - (0 - -21). Solve k = 41*f + 48 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-51)\/(-1360))\/((-2)\/10)*((-608)\/(-80))\/19?\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a century in years?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1479082 is divided by 16072?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 11*y**2 - 2471*y + 1569. Determine u(224).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19\/8 + -49\/24. What is the nearest to 0 in 1, s, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -33*c**4 + 855*c**3 + 78*c**2 = 0.\nAnswer: -1\/11, 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*r + 48 = 0. Let s = -20 + 92. What is the highest common divisor of s and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-4)\/(-30)*738\/8856\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (21\/10)\/(6\/(-5)). Which is smaller: a or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 632096?\nAnswer: 2, 19753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -6*f**3 + 5*f**2 + 36*f. Let k(r) = 4*r**3 - 3*r**2 - 24*r. What is 8*k(s) + 5*n(s)?\nAnswer: 2*s**3 + s**2 - 12*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 26 + -136336?\nAnswer: -136310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.11869 milligrams in kilograms?\nAnswer: 0.00005011869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 825 and 196710?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 0. Suppose -p*s = 6, 3*t + 0*t + 18 = -s. Let n be (t\/(20\/(-6)))\/6. Which is the third biggest value? (a) -0.1 (b) 3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5831 + -1a7?\nAnswer: -5a08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 12:53 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*p + 19*p - 2*p)*((-2 + 4 - 1)*(-5 + 1 + 2) - 7 + 19 - 4).\nAnswer: 228*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 218*t*w**2 - 28*t*w + 75*t + 894*w**4 + 2*w**2 + w wrt w.\nAnswer: 436*t + 10728*w**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -139 - -143. Suppose 23 = j*g + 7. Let n = 4 + -4. What is the nearest to n in -5, g, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 11*x**2 + 2*x**2 + x + 27*x - 8*x + 11 + 11*x. What are the prime factors of c(-9)?\nAnswer: 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57 - 58. Let m(f) be the first derivative of -f**4\/2 - 2*f**3\/3 + f**2\/2 - 21. Let v(q) = q**3 - q**2. What is r*v(z) - m(z)?\nAnswer: z**3 + 3*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9732673*k - 9732822*k = -3874 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 74 + -70. Suppose -2*y - g*n - 43 + 169 = 0, -n - 141 = -2*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 15*i**2 + 13*i + 21. What is m(14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (57\/(-27))\/(265829\/2469)?\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 4*f + 2. Let w(t) = 4*t**2 - 11*t + 6. Determine 7*l(o) - 2*w(o).\nAnswer: -o**2 - 6*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.031006 to 4 decimal places.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -247999881 rounded to the nearest ten thousand?\nAnswer: -248000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7.36 and 0?\nAnswer: 7.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 246 = -236. What is the fourth smallest value in -12, 1, 0.1, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ijguifujifijjj. Give prob of sequence ufg.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.3 (b) -1\/7 (c) 97.1519 (d) 4 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pt when two letters picked without replacement from {t: 7, p: 2}.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -539.2 - -537.9. What is the closest to -1\/3 in -16, -2, 0.4, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 0*u - 2 + 3*u)*(18 + 18 - 3)*(-1 + 4 - 1).\nAnswer: 66*u - 132","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 194211137 to the power of 1\/4, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1.440597 nanometers?\nAnswer: 0.001440597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wew when three letters picked without replacement from {g: 6, w: 7, e: 3}?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 12*f**2 - 18*f + 120. Let x be y(13). Suppose -o + 96 = -3*o. Let k = o + x. Solve -3*t = -4*r - 4 - k, 0 = 2*r + t + 3 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -146?\nAnswer: -1\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t**2 + 162*t - 884. Give q(30).\nAnswer: 1276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3 + 11. Let a = 2 + s. Let l(z) = 4*z - 1. Calculate the smallest common multiple of l(2) and a.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*6*(-5)\/(-60).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/((-9)\/(-2579)))\/((-3)\/27) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {x: 4, e: 7}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 8:09 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -578502\/11 or -52591?\nAnswer: -52591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/29 and (11 + (-18 - -10))*(-302)\/(-36).\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*c + 6*i, -1106*c = -1103*c + 3*i + 27 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t - 4*t - 65*t**2 + t + 3*t + 2*t**2 - 3*t + (2*t - 3*t + 3*t)*(t - 2*t + 2*t) + 3*t**2 - t**2 - t**2 to u + m*t + j*t**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.5582 - -505.6082. Let i = p - 504.258186. Let z = 0.208 + i. What is z rounded to 5 dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -390610 divided by 78122\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8870 - 8387. What is the highest common factor of g and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.162 - 5.2. Let a = 0.03797 + f. What is a rounded to 6 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6314040 (base 7) to base 13\nAnswer: 207c96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -20*r**4 + 12*r**2 + 5*r + 1. Let c(x) = -x**4 + x**2 - 1. Let b(w) = c(w) + t(w). What is the third derivative of b(v) wrt v?\nAnswer: -504*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 7 = 2*w - 11, 4*f + 15 = w. Let q(i) = 2*i - 3. Let l be q(w). Suppose -5*j + j - s = -18, -l = -3*j - 2*s. Solve 0 + j = -5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + -2 + -2 + (-1 + sqrt(98))**2*6 + (2*sqrt(98) + 3)**2)*2.\nAnswer: -7904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131336 is divided by 255.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 188582, 377168, 565730, 754256, 942734, 1131152, 1319498, 1507760?\nAnswer: 1695926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 15\/4 of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 9 = -3. Suppose x*c + c = 0. Let j(h) = h + 15. Is j(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9704431 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 362?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 247*z**2 + 9*z + 15. Is s(2) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.277 - 0.37. Let r = u - -0.073. Put -5, r, -0.3, 1\/3 in decreasing order.\nAnswer: 1\/3, r, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1221 in -3\/4, 4, 0, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5573554 = -96*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-1) + -3 + 1. Let l be j*(1 + -2) + -7. Let h = l + 8. Which is bigger: -1\/13 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-336)\/20)\/12)\/((-8)\/(-40)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 104. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5736047684 + -4707.6?\nAnswer: -4708.1736047684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -7277*n - 38058. Give q(-5).\nAnswer: -1673","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 669 + -654. Solve 3*j - q + 10 = -10, 2*j + l = q for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 3 - 11. Let a(v) = 0 - 1 + 3*v**2 - 6*v**2 + 2*v**3 + h*v**2. Let w be a(1). Solve w*z + 0*z = 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2136 and 21?\nAnswer: 14952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (6 - (-1 - (-5 - 1))) + 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 95669 a multiple of 248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154917.\nAnswer: 3, 7, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 744489354?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.07 and -55?\nAnswer: 3.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 1, -0.2, 91?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 266926850798 and 4?\nAnswer: 266926850794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(-1 + 2 + 2)*(-30*x**2 - 12*x**2 + 2*x**4 + 13*x**2).\nAnswer: 6*x**4 - 87*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 2 (b) -1\/6 (c) 97 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 100 (b) -93\/19 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3479*f - 23811. Determine i(-7).\nAnswer: 542","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a + 3*a + 733*a**2 + 439*a**2.\nAnswer: 1172*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7734 = -v + 2*v + 2*o, 2*v - 15436 = 4*o. What is the least common multiple of 10 and v?\nAnswer: 38630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -530 + 189. Let p = 75 - h. Suppose 13*s - p = 5*s. What is the greatest common factor of 39 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in 44\/7, -3\/2, 2\/7, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 35, 61, 87, 107, 115, 105, 71?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 84\/10 - (-4)\/(-10). Suppose -2*s - 2 = -10. Suppose x*l - 84 = -s*l. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13424, 5, 4.\nAnswer: -13424, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25 and 225.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8456, 16916, 25380, 33848?\n\"Answer: 2*s**2 + 8454*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 + (-5 - (-1 - -2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 5, d: 13, k: 1}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: 31111023 (base 4) to base 13\nAnswer: 1bb13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 453 - 450. What is the derivative of 20 + 26*b**y + 4*b**3 + 72*b**3 + 42 + 23 wrt b?\nAnswer: 306*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 7:50 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28571 - -116058. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.8 - -2.3. Let w = -5 - z. What is the nearest to -1 in -0.2, -5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 17*r**2 - 7*r. Let m(f) = 34*f**2 - 16*f. Give -5*i(z) + 2*m(z).\nAnswer: -17*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13716923 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1*d)\/d*d*d\/(d\/(d\/(d*d**(-5))))*d*(d\/(d\/d**0)*d)**(-3\/31) assuming d is positive.\nAnswer: d**(245\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, j: 5, k: 3, u: 2, w: 2}. Give prob of sequence jkkw.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 73*g**2 + 5*g - 6. Let x(p) = -74*p**2 - 6*p + 7. What is 6*x(f) + 7*z(f)?\nAnswer: 67*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2086 - -2083. Let x(b) = b**3 + 2*b**2 - b - 5. Determine x(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 255 and 256 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 10*z**2 - 24. Let t(f) = -7*f**2. Determine g(t(y)).\nAnswer: 490*y**4 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -120203 divided by 6\nAnswer: -120203\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -37\/15, -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -129.8 - -130. Let b = 4 + -3.7. Let c = -4.67 - -0.67. What is the nearest to l in 1, c, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (117*o**2 - 4 + 3 - 97*o**2)*(2*o + o - 2*o).\nAnswer: 20*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-10) + (-26005)\/(-36). Let p = 6472\/9 - f. Find the common denominator of p and 23\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15400 and 3445400.\nAnswer: 37899400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 4)*(-6 + 3 + 1)*(0 + 0 - 2*g).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-20)\/(-120))\/(1\/4))\/((-136)\/12).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 4*u - 4 = -3*a, 3*u - 22 = -4*a. Suppose -6*z + 3*z + 21 = 0. Let s = -1 + z. What is the greatest common divisor of s and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 7.9844. What is g rounded to 3 decimal places?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 571 - 564. Let d(w) = -16 + 3*w**3 - 2*w**3 + 9*w**2 - 2*w**3 - 5*w. What is the tens digit of d(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 4, -2*m = -5*p - 3*m - 4. Does 12 divide 4 - 7 - p*64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.924 + -0.554. Let r = 0.37 - j. Which is the nearest to -1? (a) -0.5 (b) -0.4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (483*r + 225*r - 1898*r)*(-3 + 2 - 1 + 3) in the form l*r + c and give l.\nAnswer: -1190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 872049.\nAnswer: 3, 17, 17099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.04144 - 0.036379. What is t rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/133 in -4, 2\/13, 0.3, 8703?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -844035, -1688070, -2532067, -3376008, -4219875?\nAnswer: -5063650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 16) to base 5\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 380?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f*(f*(f*f*f\/(f*((f*f*f\/f**(7\/8)*f*f*f)\/f)\/f))\/f)\/f*((f**(-1\/8)\/f)\/f)\/f*f assuming f is positive.\nAnswer: f**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -295 (base 14) to base 6.\nAnswer: -2231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 4. Suppose -u - 4 = -2*t - 2*u, 0 = 5*u - 20. Let n = 220 - 219. What is the lowest common multiple of n and d(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n - 25 + 2*n**2 - 29 - 30 + 84.\nAnswer: 2*n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(-3\/10)*c*(c**(4\/5)\/c)\/c*c*c)**1\/(((c**(-5)\/c)\/(c*c**(-3)))\/((c\/(c\/c**(-2\/7)))\/c)**(1\/48)) assuming c is positive.\nAnswer: c**(837\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.2 - 1.2. Which is the nearest to g? (a) 4 (b) 3 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7486.86588 - 7295.87. Let c = l - 191. What is c rounded to four decimal places?\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18982382 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 2. Let h = n + 0. Suppose 2*f + h*z = 6 + 14, 3*z = 4*f - 22. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/42*6\/(-68). Let k = 135\/952 + g. Let v = -2\/11097 + 11101\/22194. Which is the nearest to -2? (a) k (b) v (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(2*p - 3*p + 4*p + (0*p + 0*p - p)*(2 + 0 + 0) - 3 + 3 + 3*p).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 398.9307 (c) 1\/24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45622497 by -16.\nAnswer: 45622497\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279311.\nAnswer: 279311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 l when four letters picked without replacement from {i: 3, r: 4, o: 4, l: 5}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 2*c. Let u(q) be the second derivative of -q**3\/6 + q**2\/2 + 20*q + 2. What is -s(o) - 2*u(o)?\nAnswer: o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 t when three letters picked without replacement from pjptthphlphplpt?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**2 + 2*j**2 - 5*j**2 + 107 + 2*j**3 + 835 to c*j**2 + q*j**3 + n + l*j and give n.\nAnswer: 942","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - 225. Is (-136)\/w + (-1382)\/(-7) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 75\/13, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1770052\/789 or -2244?\nAnswer: -1770052\/789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 111.1 at least -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) + sqrt(56)*-1)*-4)\/(4*(sqrt(8) + sqrt(2)) - 1*2*sqrt(2)).\nAnswer: 2*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 164232667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*l = -140 + 76 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94277738?\nAnswer: 2, 479, 98411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -122353505*y**3 - 89*y - 121621.\nAnswer: -734121030*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/8 - (-9)\/2. Let b(x) = -8*x - d*x + 6*x. Let k(t) = -6*t. Let c(q) = -4*b(q) + 3*k(q). Let y(s) = -s. Determine c(y(n)).\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 2*g - 3. Let z(y) = -y**2 + 4*y + 50. What is the remainder when z(7) is divided by k(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-4)*746\/(-1865)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -y. Suppose q + 4*q - 60 = y. Is q a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22600 + -474598\/21. Let n = 1 + -0.5. Which is the smallest value? (a) n (b) v (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20531 + -46077?\nAnswer: -25346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-57)\/5 - (-6)\/15. Is (59\/(-2))\/(m\/(-6) - 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -1000001?\nAnswer: -1000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-4)\/w*w)\/w**(2\/21))\/(w*w\/(w*w\/w**0))**(-1\/29))\/((((w\/((w**3\/w)\/w))\/w)\/(w*w*w**(-1\/3)))\/(((w\/w**0)\/w)\/w**6)) assuming w is positive.\nAnswer: w**(-52\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8921 is divided by 1724?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -o + 4*w, 4*o + 0*w + w - 97 = 0. Let a(c) = c**2 - 27*c + 78. Calculate the remainder when a(o) is divided by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f + 36 + 4 + 35*f - 14*f - 9*f - 6*f.\nAnswer: -2*f + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 164 - 117. Let k(n) = -47 + 41*n + g. Let l(t) = -2*t. Give l(k(x)).\nAnswer: -82*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 171227190 to the nearest integer?\nAnswer: 13085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 divided by 2?\nAnswer: 137\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 62985*l**6 - 5*l**2 - l - 2297?\nAnswer: 7558200*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3551, 7096, 10641?\n\"Answer: 3545*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 43179071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6)\/4 - 510\/(-4)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(-1)\/(610\/2929386). Let m = -24018\/5 - z. Let p = m + 9331\/366. Calculate the common denominator of 53\/10 and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/(-21) + 11\/7. Suppose 7*o + c*z - 11 = 2*o, -o - 5*z + 16 = 0. Sort 5, o, -3 in increasing order.\nAnswer: -3, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 964*p**3 - 650*p + 320*p + 330*p.\nAnswer: 964*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -5 (b) 33997 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 171018 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2.6, -2\/7, 0?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-3)\/(-8))*-130*153\/2652?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 36 + 4 = 0. Let p be 5 - (3 + x\/(-4)). Suppose -3*s - p*h + 36900 = 0, -16482 = -5*s + 4*h + 45018. Round s to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7670484 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: In base 5, what is 41243 - 110412?\nAnswer: -14114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47 + -52. Suppose 11*w = -5*w - 80. Let l be 2*(0 - -25)\/w. Is l < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3319 or 3327?\nAnswer: 3319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -343*c**6\/120 - 43*c**5\/60 + 3*c**4\/8 + 627*c**2. What is the third derivative of l(u) wrt u?\nAnswer: -2058","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y + m + 5, -1482*y - 3*m = -1481*y + 27 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7\/4 of a millennium?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -99120 * -17.4\nAnswer: 1724688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -20*o**2 + 6685*o - 1674. What is m(334)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 247418219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -d + 9, 3*d - 66*c - 11 = -62*c for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1381049040 divided by 540528.\nAnswer: 2555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = -d + 4*z, 4*z = -29042*d + 29039*d + 71 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/5)\/((-24)\/(-40)) - 48530\/690?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 - 56. Is i less than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -3, -2\/21, -7\/6, -0.2, -5?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4489*w**3 - 3888 wrt w?\nAnswer: -13467*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 - -36 - ((-4 - -2) + -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.04, 64, -3, -5\/3, -1\/195?\nAnswer: -1\/195","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.06 (b) 0 (c) 2\/25 (d) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 31 = -9. Calculate the highest common factor of 20 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, h: 1, n: 3, r: 1, v: 1, i: 2}. What is prob of sequence ihx?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1312 - -1313. Which is the closest to r? (a) 1\/12 (b) 0.3 (c) 7.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 5.8. Let r = -489 - -484. Let q = 0.03 - 1.03. What is the third smallest value in o, q, r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/10*6)\/((-468)\/3900).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10033 - -9964) + (2 - 59)?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of d - 4 - 2*d**4 - 1\/2*d**2 + 1\/3*d**3. Determine h(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*w**2 - 41718*w - 15 + 20850*w + 20868*w.\nAnswer: -19*w**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9130844699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1679 and 368.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4314.774 nanograms in kilograms?\nAnswer: 0.000000004314774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -50 - -9 - -12) + 9.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-41364)\/(-18576) + (-6)\/(-258). Determine g so that -3\/4*g**4 + n*g**2 - 3*g + 3\/2*g**3 - 3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 58.50173mm?\nAnswer: 58501.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 29.74601 or 0.2?\nAnswer: 29.74601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**2 - 3*m**2 + 0*m**2)*(2*m**3 + 2*m - 2*m) - 8*m**5 + 23*m**5 - 10*m**5 + 3*m**3 - m**5 - 3*m**3 + (-3*m**4 + 3*m**4 - m**4)*(-3*m - m - 8*m).\nAnswer: 18*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.95765836 - 248205.\nAnswer: -248205.95765836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 a when four letters picked without replacement from qwqqnffwqqqnanqqaaa.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2754\/1020)\/(12\/80)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x + 4. Let i = -1 - -7. Let d be z(i). Is 16\/6*(-3)\/d a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 456, 3, -1, -4 in ascending order.\nAnswer: -4, -1, 0, 3, 456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express y**3 + 41*y + 2 - 2*y**4 + 0*y**3 - 44*y in the form a*y**4 + v*y + t*y**2 + c + i*y**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.51, 5, 3, 0.4 in ascending order.\nAnswer: -0.51, 0.4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23389*s**6 - 11*s**4 - 299591*s**2 wrt s.\nAnswer: -2806680*s**3 - 264*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 49 * -6\nAnswer: -294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**36\/(w\/w**(10\/3)*w))**30)**(1\/9) assuming w is positive.\nAnswer: w**(1120\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 10, a: 1, b: 2, l: 1}. What is prob of picking 2 b and 1 a?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 11*t**2 - 1. Let b(x) = -x**3 - x**2. Calculate -3*b(d) - w(d).\nAnswer: 2*d**3 - 8*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3620004117?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-36)\/(-15))\/(-3)*5. Let n be ((-16)\/l)\/(2\/(-2900)). Round n to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**5 - 59*t**3 + 64*t**3 + 4*t**4 - 128*t**2 + 130*t**2 + 0*t**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*m**4 + 168002*m**3 - 22818*m**2 - 626 wrt m.\nAnswer: 384*m + 1008012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 81 = 4*m - 5*x, m - 2*x = 4. Suppose d - 87 = g, -3*d + 5*g - m = -269. What is the greatest common factor of 234 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 0.12, -2\/7?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -135097643 + 0.051.\nAnswer: -135097642.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 30, 5, -56, -165, -334?\nAnswer: -575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 382*u + 36. Let a(h) = h**2 + 382*h - 54. Let y(n) = -2*a(n) - 3*l(n). Factor y(m).\nAnswer: m*(m + 382)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-1)*(24 - 2). Let g = -1 - -6. Suppose g*z + 3*d = 2*d + 22, 2*z = 3*d + 2. Calculate the greatest common factor of v and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + 2)*608\/(-266)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -194, -442, -710, -998, -1306?\nAnswer: -1634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 14 - (-122 + 12 - -91).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, b: 1, z: 1, m: 1}. Give prob of sequence omz.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 389941971197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19, 92, 211, 376, 587?\n\"Answer: 23*m**2 + 4*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 18 + -5 + -8 - 5?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 11*h - 38. What is x(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ah when two letters picked without replacement from zzzazhhzzhzaazha?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 7*h**2 + 4*h - 4. Suppose 0*w - w = -7. Let l be j(w). Solve 5*i + 1 + l = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 - 4 - (-42)\/350*-950.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 648 divide 4648101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 496116.\nAnswer: 2, 3, 13781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and -44431175.73.\nAnswer: -44431175.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s + 0 - s + 2*s - 42 as n*s + k and give k.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 101*b**2 - 2112*b + 3074. Give r(-32).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.7 + -0.3. Let o = -2.955 - k. What is o rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h - 7. Suppose c + 2*j = 1, -4*j + 2*j = 8. Let x be z(c). Solve x*y - y - 5 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - u = 0, 0 = y + 2*u - 36. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 5228883?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11482 divided by 5.\nAnswer: 11482\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -16\/13, -55, 9409?\nAnswer: -16\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 7*x - 10. Suppose 4*i = 16, -35 - 1 = 4*p - 3*i. Let b be u(p). Let w = b - -7. Solve w*j - 18 = -6 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 1:21 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -473, -736, -1009, -1298, -1609?\nAnswer: -1948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-9) - 13\/(-3). Let c = a - 1. Suppose r + 20 = c*r. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c7c - -26?\nAnswer: -c56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -582, -585, -590, -597, -606?\n\"Answer: -n**2 - 581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -13132 less than or equal to -13134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -332 by 226.\nAnswer: -166\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.028 in 2, -3, 0.03, -2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (2*sqrt(208)*-2 - sqrt(208) - sqrt(208))*-1)*4*6.\nAnswer: 24 + 576*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 0.6188.\nAnswer: -1.8564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 + 5)*(-752 + 0 + -1). Let t = w + -531. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 12:44 AM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 77*i**3 - 66*i**2 + 66*i + 66. Let g be 3\/2*56\/(-84). Let t(c) = c**3 - c**2 + c + 1. Give g*w(d) + 66*t(d).\nAnswer: -11*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s + 5*s + 429. Let f = s + 46. Solve -10 = r - f for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 29\/5 of a centimeter?\nAnswer: 58000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07623023 plus -15003992.6?\nAnswer: -15003992.67623023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -7 + 14 - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/1832 and -83\/235818.\nAnswer: 216009288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k + 1. Let l(u) = -u**2 + 4*u + 4. Let d(a) = -a**2 + 1. Let t(n) = -3*d(n) + l(n). Determine b(g) - t(g).\nAnswer: -2*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 17 = -t, 3*t + 13 = -56*j + 57*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(50)\/(sqrt(10) - (sqrt(90) + sqrt(10)) - sqrt(10)) - (sqrt(245) + -3 + 0).\nAnswer: -17*sqrt(5)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 307925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 210, 134, 58, -18, -94, -170?\nAnswer: -246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 418 = -5*r. Let j(z) = -2*z**2 - 4*z + 188. What is the remainder when j(0) is divided by r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/(sqrt(252)\/sqrt(7)))**2.\nAnswer: 17\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 11802*d. Let z(x) = -31*x. What is n(z(f))?\nAnswer: -365862*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 1:38 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3)*j)\/j*j\/(j*j**(-2\/25)) assuming j is positive.\nAnswer: j**(-73\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 80 and 0.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 234 - 147. Suppose 10*d - 853 = n. What are the prime factors of d?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36*(2\/3 + 0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/110)\/(3 - (-42)\/(-15)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 30 = 132. Let j = -23 - f. Solve 0*h = -h - j for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**3 - 114*n**2 + 217*n + 12293. Give m(-57).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -877, -7067, -23953, -56911, -111317, -192547?\n\"Answer: -896*b**3 + 28*b**2 - 2*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve h - 2 = -7 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10106659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1390*w - 1383*w + 56 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -540.6 (b) 1001 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -78527\/10?\nAnswer: -78527\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -180 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -1\/70*n**7 + 1\/32*n**6 + 0 + 1\/448*n**8 - 1\/40*n**5 + 0*n - 11*n**2 + 0*n**3 + 0*n**4. Factor z(g).\nAnswer: 3*g**2*(g - 2)*(g - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -0.1, -553\/416, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-60)\/90)\/((-2)\/72*2). Suppose 5*t + 0*a = 4*a + 8, 4*a - b = 0. Sort t, -2, 8 in decreasing order.\nAnswer: 8, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((40\/(-5))\/8)*3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*((v*v*(v**(1\/3)*v)\/v)\/v)\/v)*v*v*v*v*v*v**(2\/3)*v*v*v)\/(v**3)**(-8\/11) assuming v is positive.\nAnswer: v**(347\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41*c**3*q**2 - 3*c**2*q**2 + 4*c**2*q - c*q**2 + 351*c*q + 1 wrt c?\nAnswer: 246*c*q**2 - 6*q**2 + 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 601 + 1?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -13 + (3 - 1710\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -2, 4\/3, 1044?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p**2 + 2*p**2 - 17*p**2 + 7*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/251086 and -67\/114130.\nAnswer: 1255430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1.429 * 2.9067\nAnswer: -4.1536743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -617\/5, 0.2, -2\/5, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(50) + -2 + 2*sqrt(50))*-6.\nAnswer: -90*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -50 + 636716?\nAnswer: 636656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 0, 18, -2, 4 in decreasing order.\nAnswer: 26, 18, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 12 + p - 2*p**2 + 12*p**2 + 2 + 27*p**3 - 26*p**3. Let z be w(-10). Suppose -6 = 2*f - 2*h, f = -94*h + 93*h - 9. Put f, 12, z in ascending order.\nAnswer: f, z, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m*m**(-14))\/m)**(-6\/17) assuming m is positive.\nAnswer: m**(78\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 take away 88746169?\nAnswer: -88746186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-9)*(-6)\/2. Let p be (-10 + 2)\/(n + -3). Let x(g) = 4*g**3 - 6*g**2 + g - 3. Is x(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/(-8))\/(-1))\/((-3)\/2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6302830.\nAnswer: 2, 5, 281, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s**3 - 275*s**2 - 174*s - 25. What is b(-91)?\nAnswer: -753","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 5 - 7*l + 1 + l**3 + l**3 - 3*l**3 - 9*l**2. Determine c(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - b**2 - 3*b - 5. Let j be l(-2). Suppose j*n + 100 = 3*d, -2*n - 42 = -5*d + 93. Solve -4*c - c = -d for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 6. Let k(y) = -y**2 + 19*y - 48. Let i be k(16). Sort z, i, -5, 5.\nAnswer: -5, i, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 10*s. Suppose s = 7*u - 2*u - 40. Let p(l) = l**2 + 9*l - 8. Let q be p(-10). Solve q + u = -2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -806*f**2*k**2 - 324946*f**2 - 5*f - 5017*k**3 wrt k?\nAnswer: -1612*f**2*k - 15051*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12\/1903 or -0.16?\nAnswer: 12\/1903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7b306 + 86a?\nAnswer: 7bb74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven eighths of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000038557 rounded to seven decimal places?\nAnswer: 0.0000386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 1\/7 (c) 0 (d) 6\/25685 (e) 3 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 629.6191 nanograms to tonnes.\nAnswer: 0.0000000000006296191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 49\/((-9408)\/(-1368)) + -7\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 7*s - 5. Let p be q(-8). List the prime factors of 2\/(-6)*(-36 - p).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of 0*z**3 + 1\/70*z**7 + 1\/20*z**6 + 0*z + 0 - 4*z**2 + 0*z**5 + 0*z**4. Factor u(q).\nAnswer: 3*q**3*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -18.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 252\/251958*8022\/10. Let r = o - 2\/857. Sort 1\/4, 8, 2, r in ascending order.\nAnswer: 1\/4, r, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1275 - -10.8725. Which is the second biggest value? (a) m (b) 4\/3 (c) 4 (d) -3 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170*z - 85*z - 91*z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by ((-2)\/(-4))\/((-3)\/(-138))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 6*u. Let x be d(6). Suppose -5*l + l + 328 = x. Let i = l - 27. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - ((-684)\/(-180))\/((-6)\/(-30)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(612) - sqrt(612))*-5 - -4*(-1 + sqrt(612)) - (2*sqrt(612)*-1 + (sqrt(612) + 0)*2)) + 0 + 0)**2.\nAnswer: 48*sqrt(17) + 9793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ip when two letters picked without replacement from {p: 1, r: 3, i: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40797 and 5724?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*u = -84. Calculate the smallest common multiple of 4 and u.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108303605 divided by -4?\nAnswer: -108303605\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) -47.5544 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 489*b**3 - 246*b**3 - 238*b**3.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q + 17. Does 7 divide f(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 955*o**3\/3 - 1944. Let k(l) = -4*l. Calculate k(q(z)).\nAnswer: -3820*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 21724164?\nAnswer: 21724164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 163655 by 163655.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 9*w**2 + 8*w + 23. Let g be u(10). Suppose -s + 0 = 2*z - 7, -5*z = -4*s + 28. Calculate the greatest common factor of s and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**4\/8 - k**3\/6 - 78*k**2. Determine i(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from skkkskkk. Give prob of sequence ss.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 3*s**2\/2 + 2*s - 2. Suppose -4*v - 3*r = -85, -2*v + 5*v - 64 = -2*r. Calculate the remainder when v is divided by f(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 0.069, 2\/7, -5, 0.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.5 (b) 2\/3 (c) 5.19 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132 and 6674591?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -3195\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.291, -1\/7, 20, -4 in ascending order.\nAnswer: -4, -1\/7, 0.291, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -6*q + 7*q + 3 - 2 + 0*q. Let c be t(-4). Sort c, -4, 2 in decreasing order.\nAnswer: 2, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -1. Is 28 a factor of (-14)\/(-5)*10\/w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.324298 - -9.347. What is v rounded to 4 dps?\nAnswer: 0.0227","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14474 (base 8) in base 5?\nAnswer: -201320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -5*p - c + 10, -2*p - 4*c = -4. Solve -5*v = 2*b + 27, -p*v + 2*b - 12 = -4 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 451201331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16723632 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 90\/7 of a week?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -4695889*b**3\/4 + 117392891*b**2\/2 + 108349*b + 50 = 0.\nAnswer: -2\/2167, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**0\/m*(m*m\/((m\/(m**(-2\/7)\/m))\/m*m))\/m*(m**5\/m)\/m*m**(1\/8))\/((m*m\/(m*m\/(m\/m**(-1))*m))**5)**(1\/6) assuming m is positive.\nAnswer: m**(337\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*w + 42331*w**2 + 1411*w**2 - 9*w.\nAnswer: 43742*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1554)\/(-5772)*2\/7?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 = 286?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**2\/15 + 52*o\/5 - 1014\/5 = 0.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2 + 4*k - 3. Let o be b(-3). Is 1 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 79 + -55. What is the lowest common multiple of 78 and c?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66640 and 1680?\nAnswer: 199920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 588463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*z - z - 3*z to p + f*z and give f.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 290*d**4 + 2*d + 1 wrt d.\nAnswer: 3480*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 101*s + 102. Let h be r(2). Round h to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(567) + 1 - (sqrt(693)\/(sqrt(33)\/sqrt(3)))**2.\nAnswer: -66 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 10*i + 5. Give x(11).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gh when two letters picked without replacement from mhgklmohlgmmmhmkgm?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-201)\/24 - (2 - -1) - 51\/(-136).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -281, -576, -887, -1220, -1581, -1976, -2411?\nAnswer: -2892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, s: 12}. What is prob of sequence ss?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 380 and 722.\nAnswer: 7220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9844476 to the power of 1\/2, to the nearest integer?\nAnswer: 3138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 280944 + -191266. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 8 = f, 2*f + 4*h + 0*h - 44 = 0. Calculate the remainder when f is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -6\/71, -4, 5?\nAnswer: -6\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/56)\/((-50)\/24 - -2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8544198 by 6.\nAnswer: 1424033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 6*v = -5*m - 18, 8 = -2*m - 2*v. Let r = 5 + m. Suppose 0 = -b + 5*h, 16 = b + h - r. Solve -4*j = j - b for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 45\/8 of a millimeter?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 + 0)*(-2 + 2 - 2*v)*(4 + 3 - 4).\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 6:41 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -950*h + 23 = -943*h - 19. Calculate the highest common divisor of 564 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (498 + 584 + 147 + 101)*(0*x - 2*x + 3*x).\nAnswer: 1330*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.95124 (b) 0 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 5:14 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3*i + i + 2*i + i**2 in the form a + t*i**2 + p*i and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 36, -5, 1299 in decreasing order.\nAnswer: 1299, 36, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 82*o*p**2*r + 12*o*p - 7*o*r - p**2*r + 4*p**2 - 1989*r wrt p?\nAnswer: 164*o*p*r + 12*o - 2*p*r + 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -395.9 - -397.9. Let f = -2.1 - -2. What is the closest to q in -2\/11, 3\/4, f?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 8, 0*h + 10 = 3*s - 2*h. Let o be (-1 + s)\/(99\/(-18)). Let n = -2.89 + -0.11. Which is the second smallest value? (a) n (b) o (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b**2. Suppose 7*v - 6 = 8. Let k(s) = -v*s + 8*s - 17*s. What is k(d(u))?\nAnswer: -33*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -2. Let c(v) = -v**3 - v**2 - 2*v + 4. Let q be c(y). Solve -3 = q*h - 3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 1 - 40\/(-15)*12.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*q = 22*q + 68. Suppose -31 = -q*f + 20. What is the greatest common divisor of f and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 2. Suppose 0 = -r - l + 1, l + 3*l = -n. Let m(j) = 2767*j - 1. Let b be m(r). Round b to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/4 - 10*(-14)\/112. Let l = 0 - -1. Let g be 40\/(-22) + 1 + l. Which is greater: g or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -1360*j + 50196. Determine d(37).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-883805)\/26*(36\/(-45) - 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 132660 by 12.\nAnswer: 11055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -543421.82 rounded to the nearest ten thousand?\nAnswer: -540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/162 and -49\/27?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 7:14 AM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1404)\/(-6))\/(-13)*(-40)\/15*(-2)\/(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 2 = -2*x + 6*f, 3*f = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 8 (b) 0.06 (c) 14 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6534591 rounded to the nearest one hundred thousand?\nAnswer: 6500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 1635?\nAnswer: 1630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of 5*g**8\/28 + 13*g**7\/42 - g**5\/12 + 44*g**2 + 2. Suppose b(u) = 0. What is u?\nAnswer: -1, -1\/3, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + 110*t + 686. Let y be f(-6). Calculate the greatest common divisor of y and 4247.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 7*b + 3*b. Suppose b = -2*c - 0*c - 5*y - 27, 0 = -3*c - 4*y - 37. Let x(o) = o**3 + 11*o**2 + o + 14. What is the units digit of x(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1941 to the nearest one hundred.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 178248.1 litres?\nAnswer: 178248100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 17*w + 65. Let n be a(4). Let m be (4 - n)\/(-3) + 12. Solve -5*c + 5*p + m = 0, c + p = -p + 9 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -0*i + 20. Suppose 2*d - 120 = u, -3*d - 2*u - 2*u + 180 = 0. Suppose -d = -6*t + t. Solve i*r + t = -8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/96 and -35\/48?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 20167897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -3*j + 182, 2*n = 3*j - 219 + 13. Is j a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.4613 decades to centuries.\nAnswer: 5.04613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 17*r**2 - 5*r - 5. Let v(k) = -26*k**2 + 8*k + 8. Let y = 164 - 159. Give y*v(i) + 8*l(i).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 825c3a + -1?\nAnswer: 825c39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 4*d, -d - 6 = -4*d. Let q(s) = 6*s + 1. Let j be q(-1). Put j, -2, m in decreasing order.\nAnswer: m, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10.2 + -10. What is the closest to -1 in -5, -2\/9, u?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-398)\/36616*(-24)\/(-9)?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 941849299 to the power of 1\/2, to the nearest integer?\nAnswer: 30690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1368238 to the power of 1\/2, to the nearest integer?\nAnswer: 1170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 387\/27 - (4 - -10). Factor -g**4 + 1\/3 + 2\/3*g**3 - g + 2\/3*g**2 + o*g**5.\nAnswer: (g - 1)**4*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 6:50 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5946*u + 11894*u - 5947*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*u + 7*u + 10450 = -18*u - 38*u for u.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 721*y**2\/8 - 7429*y\/2.\nAnswer: y*(721*y - 29716)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 935 - 935.407. What is x rounded to 2 decimal places?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o + 7. Let h be -6 - 9\/(-3) - (20 - 2). Let a be 14\/h + 60\/9. Give t(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 g, and 1 t when three letters picked without replacement from tvggm?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 393745 is divided by 65573?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 198 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3*(3 + 5*(0 + sqrt(19))).\nAnswer: 14 + 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1581*0.3.\nAnswer: -474.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1297725)\/(-300) + (-5)\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -3. Let s = -1 - -1. Suppose s*g - 4 = -g. Solve c = o + 1 + g for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 189\/(-6)*(-44)\/(91168\/(-222))?\nAnswer: -27\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 + 2 + (-37)\/(37\/(-39164)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/70*((-760)\/(-133))\/(-8).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**3 - a**2 - a + 1. Let l be z(1). Let v = 0 - l. Let 0*h - h**2 + h + 3*h**2 - v*h**2 = 0. What is h?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of (-7332)\/(-8) + (36\/(-6))\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, g: 1, i: 1, n: 4, b: 1, c: 9}. Give prob of picking 1 n, 1 c, and 1 i.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33489 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20046 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t - 2. Let q(b) = b - 13. Give 3*f(m) - q(m).\nAnswer: 2*m + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 - -29. Find the third derivative of 2523*d - 3*d**4 - 2523*d - 4*d**t wrt d.\nAnswer: -72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = -4*t + 2*c + 20, -22 = -4*t - 5*c. Let y(a) = 4*a - t*a + 8*a. Let w(d) = -2*d**2. Determine y(w(s)).\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 38172849577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7271656.\nAnswer: 2, 7, 89, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6297367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -11 + -1 + (-389 - -389).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 9 + 585*j**2 + 137*j**2.\nAnswer: 722*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9697 + -9637 - (-2 + -19 + 2).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - -17 - 13 - 1) + -1.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -121 - -123. What is the highest common factor of 10 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 6:04 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 9504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/25? (a) -0.07 (b) -2\/3 (c) 295\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-491)*(-2)\/1*(-16177)\/(-16177)\nAnswer: 2\/491","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 81*o - 84*o, 6 = 4*k - k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1639*m**2 - 590 + 590.\nAnswer: 1639*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 63, -0.03, 0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*s**3 - 3*s**3 + 4*s**2 + 5*s**3 to r*s**2 + f + x*s + k*s**3 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - 22. Let n = 49 + h. What is the second derivative of 18*y**4 + 7*y**5 - n*y**4 - y - y**5 wrt y?\nAnswer: 120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000662955823 to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of g**3\/3 + 2367*g. Let r(o) = 12159*o. What is r(q(v))?\nAnswer: 24318*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 110 times 0.6\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 7454?\nAnswer: -7455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 548.9 + -549. Which is the third smallest value? (a) -2 (b) 3 (c) j (d) -17\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0019492 to 4 decimal places.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u**2 + 11 - 20 + 9. Let f(j) = 83*j**2 + 72*j + 4. Let o(d) = -18924*d**2 - 16434*d - 913. Let t(c) = 913*f(c) + 4*o(c). Give t(g(b)).\nAnswer: 1328*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6994102.5 nanoseconds in hours?\nAnswer: 0.00000194280625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 9 = -3*b, 0 = -3*b + 265 - 271 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 3:22 AM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22159083.\nAnswer: 3, 7386361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1554, -3411, -6508, -10845, -16422?\n\"Answer: -620*q**2 + 3*q - 937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -8 (b) -2\/17 (c) 35 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - u = -6. Let p(z) = z**3 + z**2 - 9*z + 14. Let b be p(-4). Solve -u = -b*o + 4 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7167189?\nAnswer: 3, 2389063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -7*n + 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 163671 bigger than 163668?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of h**4\/3 - h**2 - 5. Let f(q) be the second derivative of d(q). Let m(l) = -2*l**2. Calculate m(f(p)).\nAnswer: -128*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3*-1*sqrt(272) + 5 + (sqrt(272) - (sqrt(272) - (sqrt(272) + 1*sqrt(272)))**2) + 0 + 4 + 3*sqrt(272).\nAnswer: -258 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*f**2 - 87*f + 3797 with respect to f.\nAnswer: -20*f - 87","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -3*v + 2*i + 3, 16 = -v + 5*i. Which is the closest to v? (a) -1 (b) 0.3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/((i*i*(i**(-6)*i)\/i*i*i)\/i)*i\/(i\/(i*i*i**(-1\/6)))*i*i\/(i**5\/i)*i*i\/(i\/i**(-4)) assuming i is positive.\nAnswer: i**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 30*z**2 - 195*z + 439. Calculate h(22).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xhxouxrxxhxxox. What is prob of sequence hrx?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4964 and 6940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -206.6378296 to the nearest 10.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1214*l*p**2*w**3 - 9*l*p**2*w - 2300*l - 2*w**3 wrt p?\nAnswer: -2428*l*p*w**3 - 18*l*p*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h*h**(2\/7))\/h)**(-1\/27)\/(h**(-7)\/(h*h\/(h*h*h\/(h**(-3)*h)*h))) assuming h is positive.\nAnswer: h**(62\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9965, -9950, -9935?\n\"Answer: 15*h - 9980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -106*u + 101*u - 10, 0 = -4*j - 4*u - 8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1394*z + 14*h + 110 = 1395*z, h = -z - 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -g - 21, 48*g - 51*a + 54*a + 303 = 0 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (-3)\/((-6)\/(-14)). Let i = -1 + k. What is the third derivative of 9*v**2 - 2*v**6 + 0*v**2 + 8*v**i wrt v?\nAnswer: 720*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 2*z = -20. Let i = z - -14. Factor 3*r**2 + 4*r - r**2 - 12*r**3 - 14*r**5 - 11*r**3 + 38*r**i - 7*r**3.\nAnswer: -2*r*(r - 1)**3*(7*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51 + 79. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1544557.\nAnswer: 7, 233, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 5074016 to the nearest 1000.\nAnswer: 5074000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 663 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/(-2) + -4)\/3. Suppose -4*o = 16, -75 = -i*r - r + 3*o. Let v be (12\/r*3)\/(-2). Are v and -11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 477*d + 49068. Determine w(-150).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (2 - -1) - (-19 - -20).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5037, 39304, 132313, 313434, 612037, 1057492?\n\"Answer: 4895*c**3 + c**2 - c + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 9, -9 in descending order.\nAnswer: 9, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 448311.\nAnswer: 3, 29, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33975 divided by 3.\nAnswer: 11325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s + 3. Let a(n) = n - 1. Let z(c) = 6*a(c) + 2*f(c). Let d(o) = -31*o**2 + 1. Calculate z(d(x)).\nAnswer: 62*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5761 = -21*h + 53620. Is h a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.1 (b) -0.5 (c) -0.2 (d) -2.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 5*x - 81, -2*x + 2*l + 42 = -2*l. Let y = -2932 - -2938. What is the units digit of x\/(-45) - (-1238)\/y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -285472152 divided by -168.\nAnswer: 1699239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/37067693?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4*m + 2 = 2*m, 4*p + 3*m = 0. Solve -116*c**2 - 6*c**p + 3*c + 116*c**2 + 3*c**5 = 0 for c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-4))\/((294\/8)\/(-7)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 8\/3*u**3 + 2*u**2 - 2\/3*u**6 + 0*u**4 - 27 + 0*u - 8\/5*u**5. What is c in z(c) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54\/13 - -851\/208. Let s(f) = f**2 + 5*f - 7. Let i be s(-6). Which is smaller: o or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 2*q - 0 - 24, 0 = -5*u - 5*q. Suppose u*d - 112 = 48. Calculate the greatest common factor of d and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 5:47 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4\/4 - 15*y**3\/4 - 25*y**2.\nAnswer: y**2*(y - 20)*(y + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -181\/3 + 1264\/21. Let j = 1.4 + -1.4. What is the closest to -1\/4 in j, -2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 2*x + 40 = 0. Let y(w) = 4*w**2 + 13*w + 7. Let a be y(-6). Let u = -71 + a. What is the lowest common multiple of x and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - i + (-2*i - i + i)*(1 - 4 + 5) - 20*i + 3*i + 0*i - 15*i + 562 - 562 - 3 - i + 3.\nAnswer: -38*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 114, 246, 376, 504?\n\"Answer: -j**2 + 135*j - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10.0102 + 0.0102. What is the second biggest value in a, 2, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -6*d**2 + 0*d**3 + 1\/2*d**4 + 0 + 1\/20*d**5 + 0*d. Find k such that b(k) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/4 and 13\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**28*j\/(j*j**(-13\/6)) assuming j is positive.\nAnswer: j**(181\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.84099 years to months.\nAnswer: 22.09188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 6*s - 4. Let d be h(-6). Let u be (-9 + (-960)\/(-112))\/(3\/(-28)). Put 1, 2, u, d in increasing order.\nAnswer: d, 1, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 + 11 + 4 + 0 + 104*a in the form f + o*a and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6118 + 177*x + 6054 - 12172.\nAnswer: 177*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -60 + 8*k + 12*k - 4*k. Let x be 24\/32 + 53\/4. What is the hundreds digit of a(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r - 2*t - 14, 4*r - 17 = 886*t - 887*t for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 5*i**3 + 4265*i**2 + 872175*i - 16084125 = 0?\nAnswer: -435, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = 3013 + 1012. Let k = 1049 + z. What are the prime factors of k?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/7))**(-1\/4))**34\/((u\/u**1)**(-47)\/(u*u**1)**42) assuming u is positive.\nAnswer: u**(605\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*a = -35*a + 17*a. Let q be 1 + 20 + (-2 - 1). Suppose a = -q*p + 363 + 285. What is the highest common factor of p and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -p - v + 45, 0 = -v. Let q be 2\/((-3)\/(-2) + (-20)\/12). Let w = p + q. Solve -m = -w*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 474 and -11?\nAnswer: -5214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14130 (base 6) to base 15.\nAnswer: -9c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -43 (base 15) to base 9\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 0 + (1 - -1). Suppose -2*c = c - 105. Solve 0 = -z - 5*h - 1 - 10, d = 5*z - 5*h - c for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 8:02 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 5*q + 6. Let r be w(-5). Let f be (-5)\/(5\/r) - 2. What are the prime factors of (-78)\/f + 4\/16?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001796 rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x - 1332 = -4*p - 4*x, p - 309 = -5*x. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 5*d**2 + 2*d - 6. Let j be y(5). Suppose -j*t + 34 = a, -2*t - 3*a = -t - 3. Suppose t = 3*x, -15 = 3*g - x - x. Is g at most -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t - 49. What is w(-1)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 67 - 35. Let t = c + 61. What are the prime factors of t?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 + -62 - (-90 + 65)) + 2 + -3 + 66?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 145 - ((-9)\/(-3) - 1). Suppose -3*c + h = -5*n, 4*c - 53 = 3*n + 123. Suppose -2*q = -3 - c. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 1 + 4 + 0 - 3 - v. Let m be a(4). Let s be 15\/10 + m\/(-4). Solve -16 = -4*i + 4*l, -s*i = l - 2 - 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -12. Suppose 0 = 3*w - 40 + 49. What is the nearest to h in -5, -0.4, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -29, -38, -45, -50?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -658144*l**4 + 318992?\nAnswer: -2632576*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**2\/2 + 62087*y + 3854795569\/2 = 0.\nAnswer: -62087","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2498, 4502, 6506?\n\"Answer: 2004*w + 494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -x + 5*z, 5*z - 2*z = 15. Let r be ((-24)\/16)\/(x*(-1)\/(-4)). Find the third derivative of 0*i**3 + i**3 - r + 3 - 15*i**2 wrt i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 2*w + 4 = w, -3*o - 6 = -3*w for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 3*g - 297. Let o = g - -68. Let q = -13 - o. Is 3 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 3*n**2 - 5*n + 5. Let b be d(4). Let h be -3*b*(-2)\/3. Differentiate -h*m**4 - 1 + 4*m**4 + 4 wrt m.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1379475 and 613100?\nAnswer: 5517900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-30)*(-21 + 1). Let u(p) = p + 3. Does 11 divide u(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-5))\/((-4)\/(-10)). Let b be (-11)\/(-5) + 7\/(-35). Find the third derivative of -p*d**b - 7*d**6 - 3*d**2 + d**2 wrt d.\nAnswer: -840*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 + 34. Let q be (-3 + 5 - o)\/1. Suppose -192 - 633 = -q*i. Is 55 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 12:44 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -4*m + 2*r, -2258*m + 124 + 86 = -2253*m - 9*r + 32 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -49\nAnswer: 24.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12044, 12163, 12278, 12389?\n\"Answer: -2*q**2 + 125*q + 11921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 6*u - 8120 = 0. Suppose s = -3*s - w + u, w + 1225 = 3*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*s = 51, 22 = -4*i - 2*s + 64. Suppose 0*g + i = 2*g. Let u be (g - 6)*(2 - 1). Which is smaller: u or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/2 - 60\/(-40). Suppose 0 = -a*l - 0 + 6. Suppose u - 5 = -l*d, 4*u + 1 + 18 = d. Solve 9 = -4*w - d for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g + 1. Let s be t(10). Let j = s + 12. What is the second derivative of -h + 5*h**4 - j*h - 4*h**4 wrt h?\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -191\/11051040 and -131\/2310?\nAnswer: 11051040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -289, -571, -1299, -2695, -4981, -8379, -13111?\nAnswer: -19399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, -2\/5, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 131 and 8.\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 15, 6*x + 2*l = x - 21. Let p(v) = v**2 - 4*v - 5 - 1 - 1. Let d(g) = g + 1. Let z(k) = 6*d(k) + p(k). Determine z(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i**2 - 3*i - 3. Let q = 53 - 54. Let k be r(q). What is the second smallest value in -0.04, 1, k?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1367)\/(-8) + 15 + (-119)\/8. Suppose 117 = 48*a - g. Solve 3 = 4*x + t, 2*t + 0*t + a = 4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1832 and 2048.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g - 3*k - 226 - 173 = -450, -5*k + 32 = -4*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-10)\/6 + 0)*-3. Factor -s*b**3 + 2*b**3 - b**2 + b**3 - 2*b - 3*b**2.\nAnswer: -2*b*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g. Let n be z(1). What is the units digit of -1 + n*(5 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) 2\/143 (c) -0.04 (d) -8\/3 (e) -52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q + 20 = 68. Solve 0 = -q*a + 15*a + 77 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010101110 - -1110111100000?\nAnswer: 10000010001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2681155388 to the nearest integer?\nAnswer: 1389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 18*b - 13*b. Solve -f + b = -0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69 + -68. Let p = 0.0303 + -3.0303. Which is the third biggest value? (a) u (b) -2\/5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -7*s**2 - 7*s + 11. Let j(d) = -6*d**2 - 7*d + 11. Let v(o) = 6*j(o) - 5*w(o). Let t be v(-8). Solve 0 = 5*u - 4*z + 25, -2*u - 2*z - t*z = 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 3. Let d be 2\/(-14) + (-390)\/(-35). Calculate the greatest common factor of a and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 2*w - 64, -l - 3*l + w + 78 = 0. Calculate the remainder when 7 + 61\/(-9) + (-5)\/((-135)\/1533) is divided by l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2374\/7 (b) -0.03 (c) -4\/3 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, 7, 163, -0.16, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*q - 45*q - 24 = 2*w - 10*w, 7*w = -4*w + q + 33 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19220 and 739970.\nAnswer: 1479940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3 + 30237*z**2 + 30240*z.\nAnswer: -3*z*(z - 10080)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58908064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-122*r**5 - 28*r**5 + 12*r**5)*(-2 + 1 + 2).\nAnswer: -138*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-2\/19)\/r*r)*r**(-6))**36 assuming r is positive.\nAnswer: r**(-3348\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 41367 divided by -340\nAnswer: -41367\/340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + (5 + sqrt(363) + 1)**2).\nAnswer: 132*sqrt(3) + 397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b**3 + 2*b**2 - 2*b - 1. Let k(y) = -2063*y**3 + 6*y**2 - 6*y - 3. Determine 3*i(a) - k(a).\nAnswer: 2075*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.217 times -4?\nAnswer: -0.868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5148046*f**2 + 47897*f.\nAnswer: -10296092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13860, 13888, 13942, 14034, 14176, 14380, 14658, 15022?\nAnswer: 15484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -511 + 507 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3894300 and 23755230.\nAnswer: 237552300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -y**5\/20 - 2*y**4\/3 + 2*y**3 + 5*y**2 - 2652*y. Give r(-9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 387 + -246. Is g a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - h + (-1 + 1 - 2*h)*(3 - 6 + 2) + 2*h + 1 - 1 + (2*h - 3*h + 2*h)*(4 + 2 - 1).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2. Let y(a) = 23 - 40 + 17 - 17*a**2. Determine o(y(w)).\nAnswer: 578*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 229\/(-2)*(6 + -8). Suppose j + 59 = 4*c. Suppose -5*i + 15 = -4*m - c, m - 40 = -2*i. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 12) to base 4\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o + 6 = 19*o. Solve -4*r + r = o for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h - 8. Determine b(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t + 9. Let n(j) = 1. Let x(p) = -p - 3. Let y(u) = -n(u) + x(u). Let g(a) = -4*w(a) - 9*y(a). Suppose -2*z = 3*z. Give g(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 67 = 5*n, -5*o = 2*n - 38 + 130. Let g(x) = -13*x + 26. Does 5 divide g(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 145*f - f**4 + 3*f**2 - 9*f**2 + 10*f**3 - 146*f to y*f**4 + k + l*f + b*f**2 + i*f**3 and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by 28.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -144*i**3*l - 120*i**3 wrt l.\nAnswer: -144*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fqqfwp. What is prob of picking 2 q and 1 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*152*14\/224?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.54 - -0.04. What is the biggest value in 3\/2, t, -0.4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 210\/8*71\/((-53676)\/1008).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.1 in -0.13, 0.4, 1\/3, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43899?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -470*h - 35*h - 92*h - 71392 = 139*h for h.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1260)\/20 - 45) + 60.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-216 + 434 - j - 215)*(2*j**2 + 0*j**2 - 8*j**2) in the form z*j**3 + k*j + n + l*j**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3 + 138*z**2 + 1440*z - 3456.\nAnswer: 3*(z - 2)*(z + 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219289 is divided by 503?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 0. Find the second derivative of -1 + 3*j**4 + 1 + v*j - j wrt j.\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g + 0*g - g**2)*(61*g - 647*g - 2835*g - 1759*g) to the form h*g**3 + n*g + y + p*g**2 and give h.\nAnswer: 5180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19435 - 17544.\nAnswer: 1891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 2.418173mm?\nAnswer: 0.2418173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -150064 divided by -113?\nAnswer: 1328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 11*s. Let c(w) = 3*w. Let k(y) = 11*y. Let q(h) = 12*c(h) - 3*k(h). Give z(q(o)).\nAnswer: 33*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*y + 69*y - 5362 = -p, -10746 = -2*p - 5*y. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 8 = f, 0 = -4*i - 5*f + 20 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43.881102 + 0.109398. Let q = x - 44. What is q rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*u + 4*u**2 + 5*u**2 - 20*u**2 + 11*u**2 + 4*u**2.\nAnswer: 4*u**2 - 14*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -324*o - 1319 - 1273 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fadg when four letters picked without replacement from {d: 2, a: 1, f: 1, c: 1, p: 2, g: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 6*q**2 + 2*q - 12. Let d be t(-6). Let g = d + 52. Suppose y = -5*c - 10 - 6, 0 = -2*c - 8. What is the greatest common divisor of g and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 divided by -2688487.\nAnswer: 36\/2688487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56 + 34.6. Let t = i - -21. Which is the closest to -0.1? (a) -2\/13 (b) t (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1660685?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (0 - -1) + -3 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23369\/48227 - -3\/1663. Let v = o - 33\/232. Calculate the common denominator of (-1 - (-16)\/10) + (-6)\/(1440\/2284) and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 14 + 11 = -5*g, -5*y + 16 = -2*g. Let l = 2 + y. Suppose -5*h = -l*p + 84, -p + 2*h = 4*h - 21. List the prime factors of p.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -14*b**2 + 4*b - 42. Calculate k(6).\nAnswer: -522","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 4169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qu when two letters picked without replacement from uuq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26220 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 6*r - 4. Let w be 5 - ((3 - 4) + -1). Let d be b(w). Suppose -d*v = -v + 2. Do 0 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4701, 8883, 13065, 17247, 21429?\n\"Answer: 4182*z + 519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 25)*5\/(150\/(-12)). Suppose -j*a + 49 = -71. Solve 0*u + a = -3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4\/24207 - -128564\/3267945. Let v = 6467\/810 - j. Let o = -861 - -3473\/4. Find the common denominator of v and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17344 and 271?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*w**2 - 3*w**2 + 2*w**2)*(-w - w + 3*w) + 1 - 8140*w + 8140*w + 771*w**3 - 5 + 5 - 5*w**3 in the form q*w**3 + t + o*w**2 + f*w and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 23089.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8226801197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -1.63\nAnswer: 1.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 5*h**2 + 6*h - 6. Let j be z(-6). Is (-2)\/j + (-236)\/(-12) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/24 of a hour?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12614 by -6307.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2546159, 2546166, 2546173, 2546180, 2546187, 2546194?\n\"Answer: 7*q + 2546152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 214467 divided by -11\nAnswer: -19497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/15)\/(1\/(-3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2. Let u = -163 - -167. Let o(k) be the third derivative of 0 + 0*k**3 - k**2 + 0*k - 1\/8*k**u. Give w(o(i)).\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1738540 by 434635.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - q)*((1 - 1 + 2*q)*(954 - 649 - 753) - 2*q - 4 + 4).\nAnswer: 898*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 516, -4, -3, 1, -41 in ascending order.\nAnswer: -41, -4, -3, 1, 516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 215*f**5 - 320*f.\nAnswer: 4300*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -1020*h + 50. Let b(z) = -z + 6. Let x(g) = -a(g) + 8*b(g). Let f(j) = 2*j**2. Calculate f(x(q)).\nAnswer: 2048288*q**2 - 8096*q + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.49 - -0.29. Which is the biggest value? (a) 3\/5 (b) w (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.74 and 5758.\nAnswer: -4260.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1634205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20444 by -5.\nAnswer: -20444\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -41 + 42 - 5*i - i. Let h be y(-1). Suppose -t = -h*m + 3*m - 6, t - 18 = -2*m. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 126 = 2*x. Is 53812\/36 + 4 + (-4)\/x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 16) to base 6.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 92 - 92. Which is the nearest to q? (a) -7 (b) -0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 3*w**3 - 1123505*w**2 + 3*w**4 - w**4 + 4*w + 1123566*w**2 in the form y*w + x*w**2 + d*w**3 + h + f*w**4 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 188231745 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212010 (base 4) to base 3.\nAnswer: 10100020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.01 - -6.01. Let w = n + -6.4. Which is the closest to 0? (a) w (b) -1\/2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -18.7, -0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/3214962 and 48\/5.\nAnswer: 16074810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 41112 to the power of 1\/2, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 0.32614\nAnswer: 0.16307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -116 - -119. Suppose -5*p + 9*p = -k + 11, t = p. What is the nearest to k in 2\/11, -5\/9, 0.1?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4 = -0. Calculate the remainder when (-5)\/10 + (-5)\/t is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (15 + -17 - (-1 + -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -535727*g - 1. Determine l(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4*u**2 + 124*u**3 + 26 - 31*u - 7*u**2 - 123*u**3 + 0*u. Is 30 a factor of i(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44 - -17. Let i = 52 - n. Which is bigger: i or -11?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 7*a**2 - 10*a + 7. Let k be r(-5). List the prime factors of 6\/(-21) + 184\/k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnbttnhbnn. What is prob of picking 2 t and 2 b?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 5750*b**2 - 20*b - 59. Is n(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p**3 + 7*p**2 + 11*p - 3. Let n be t(-2). Calculate the greatest common divisor of n and 837.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffofofofoo. What is prob of picking 2 o?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6 + 9242.\nAnswer: 9242.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 298183631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4666859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00085847203 rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1192, 3, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 353.69 millilitres to litres.\nAnswer: 0.35369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1280, -2559, -3842, -5129, -6420, -7715, -9014?\n\"Answer: -2*u**2 - 1273*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/5015500 and -41\/28000?\nAnswer: 40124000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 t when three letters picked without replacement from {m: 4, t: 8, w: 3, y: 1, g: 1}?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (48\/(-60))\/((-1)\/150). Suppose -3*z + 372 = -f. List the prime factors of z.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.02 (b) -0.01 (c) 0.4 (d) -2284 (e) 1\/5 (f) 8\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*c*d*s**2*y - 2*c*d*y + 47*c*d - 98*d*s**2 + 3*d*s*y + 2*s**2 wrt c.\nAnswer: -10*d*s**2*y - 2*d*y + 47*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzppipnpp. Give prob of picking 1 z and 1 i.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -54315 greater than -54308?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5463*i + 25 = 5*u - 5465*i, u - 5 = -4*i for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (4 - (3 - (21 + (-1 - 10))))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -5, 6, -2 in descending order.\nAnswer: 22, 6, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8858778 and 32482186.\nAnswer: 97446558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 631216459?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*v + v + 11*v + 2*v**2 + (-v - v + 4*v)*(-4*v - v + 2*v) to the form c*v**2 + z*v + g and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 776887 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**4\/7 + 342*c**3\/7 - 13320*c**2\/7 + 188922*c\/7 - 455877\/7.\nAnswer: -3*(c - 37)**3*(c - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -255) + (-5 - -3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 31 - 1 = 0. Let x(r) = r**2 + 3*r - 1. Let k be x(1). Let a(z) = 11*z**2 - 3*z + 6. Let m(p) = 4*p**2 - p + 2. What is h*m(y) + k*a(y)?\nAnswer: y**2 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -143\/6438?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 5*q - 12. Suppose 2*s - 3*z = -7*z + 4, s - z = 17. List the prime factors of o(s).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30537 is divided by 275.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, k: 2, r: 4}. Give prob of picking 3 t.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2035 divided by 185.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.113735035 rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 8 - 2 = 0. Let n be (-3 - b)*(-2 + 3). Let w = -4 - -4. Which is bigger: n or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/3)\/(g*g**5)*(g*g*g**4)**10 assuming g is positive.\nAnswer: g**(163\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -2, -4 in increasing order.\nAnswer: -4, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 14*s**2 - 11*s - 5. Let p be k(13). What is the first derivative of 21 + 31*w - p*w - 26*w wrt w?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 78.13337 seconds?\nAnswer: 78133.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/24 - (-3749)\/4. Let d = s - 1987. Let k = -12653\/12 - d. What is the common denominator of k and -51\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + 81.9.\nAnswer: 81.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2104 - -5?\nAnswer: 2113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1368777886820 - 109500037902823\/80. Let r = -27412580 + y. Let i = r + -2257\/5. Find the common denominator of i and -85\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -8*f**3 + 4*f**3 + 2*f**2 - 3*f**2 + 2*f**3. Let h be i(-1). Solve 9\/2*x**3 + 8*x**2 + 5\/2*x - h = 0.\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus -2833881?\nAnswer: -2833880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39692, -77269, -114846, -152423, -190000?\nAnswer: -227577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - m**2 - 30*m + 129. Let k be b(4). Solve -k - 9 = 11*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g + 6 = 6*g. Is g >= -2\/55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**2 + 16*n - 2. Determine a(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -550 + 54?\nAnswer: -496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -225*i - 25. Let k(p) = -37*p - 4. Let n(w) = 25*k(w) - 4*o(w). Let v(u) = -4*u. Give n(v(g)).\nAnswer: 100*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2346576\/49 or 47890?\nAnswer: 47890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -500 + 505. Solve -j*f = -14*f + 9 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -797, -1523, -2249, -2975?\nAnswer: -3701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -57\/5*v - 24*v**2 + 2\/5 - 61\/5*v**3.\nAnswer: -(v + 1)**2*(61*v - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 53466 and 1238964?\nAnswer: 164782212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 7, x: 2}. Give prob of picking 2 y and 2 x.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1555*g**3 - 575*g**3 + 1240*g**3.\nAnswer: 2220*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -7\/6*f**3 + 0 + 1\/20*f**5 + 9*f - 5\/12*f**4 + 3\/2*f**2. Give s(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + -1. Let t(b) = -3*b**3 + 2*b**2 + 12. Let d(m) = -4*m**3 + 2*m**2 + m + 14. Let h = -267 - -272. Let f(j) = h*t(j) - 4*d(j). What is f(o)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 433 = 12*a + 505 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2101 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208268?\nAnswer: 2, 52067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((0 - -7) + -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8734412ug to kilograms.\nAnswer: 0.0000000008734412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 123606, 123604, 123602, 123600?\nAnswer: 123598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**3 - 80*k**2 - 614*k - 1332. Give y(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13647078.\nAnswer: 2, 3, 151, 5021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 k when four letters picked without replacement from kkiii.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81 + -81.2. Which is the biggest value? (a) t (b) -1 (c) -0.3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/2488 and -47\/6842?\nAnswer: 27368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2681152*d**2*f + 16361378*d**2 wrt f?\nAnswer: 2681152*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 9. Let i(q) = 2*q + 8. Let l be i(j). Suppose 0*k = 3*k + p - 32, -k + 4 = -3*p. Calculate the greatest common divisor of l and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rfy when three letters picked without replacement from {y: 1, w: 2, v: 1, k: 1, f: 2, r: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/471 and 25\/268879.\nAnswer: 126642009","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -6 - 3 - (7 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4049, 8113, 12179, 16247, 20317, 24389?\n\"Answer: g**2 + 4061*g - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5\/1 - ((-1520)\/70)\/(-4)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41317337 = 2*j + 25204687. Let g = -11561012 - j. What is g rounded to the nearest 1000000?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-186)\/(-10) - (-16 - (-3432)\/220)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((2 + -2*sqrt(128))*1 + -5*(sqrt(96)\/sqrt(3) + 0) + 0)**2.\nAnswer: -576*sqrt(2) + 10384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9971535, -9971534, -9971533, -9971532, -9971531?\nAnswer: -9971530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25563 or 25630?\nAnswer: 25630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -152*l**3 - 5*l**2 + 8*l + 14. Let v(r) = 38*r**3 + r**2 - 2*r - 3. Determine -2*p(b) - 9*v(b).\nAnswer: -38*b**3 + b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/5*(-2026)\/498396?\nAnswer: -2\/205","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -b**4\/24 + b**3\/6 - 8*b**2 + b + 12. Let c(g) be the first derivative of u(g). Calculate c(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-21) + ((-16044)\/(-245) - 67).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 + (-1 - -3 - 5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 191 or 192?\nAnswer: 192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1490, -5786, -12884, -22778, -35462, -50930, -69176, -90194?\nAnswer: -113978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 + 51. Calculate the remainder when p is divided by 21.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3256 = -0*q - 2*q. Suppose -3*l = 5*d - q - 111, -4*d - 1757 = -3*l. What are the prime factors of l?\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1)**38)**(-7)*((h**1)**(-9\/4))**(2\/19) assuming h is positive.\nAnswer: h**(-10117\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/7, -5, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -3135, 18 in ascending order.\nAnswer: -3135, -4, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**2 + 5 - 2 - 2)*(5 + 1 - 5).\nAnswer: 4*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 equal to 49335\/218?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -3, 125576, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i - h - 89, 3611 - 1819 = 2*i - 4*h + 1810 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 99456 (base 12) in base 2?\nAnswer: 110001100001000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 2. Let d = -19 - -18. Let z(h) = -h**3 + h**2 - 3*h + 4. Let s be z(0). Which is the closest to d? (a) -3 (b) s (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19560000 to the nearest 1000000.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*s = -547, -94 - 457 = -3*y - s. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ylyysyygh. Give prob of picking 1 s and 3 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 355029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -2, 3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -4, 93647, 0.\nAnswer: -4, 0, 4, 5, 93647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/(-8)*180\/140*2048\/384?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 2 + 30*d**2 - 25*d**2 + 274*d**2 + 2*d + 462*d**2 as x*d + v*d**2 + c and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -78 (b) -10 (c) 3\/2 (d) 14 (e) -8 (f) 2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80221*n + 91 + 77 = 80193*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {o: 17, u: 3}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18319700 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 10. Let v(c) = 7*c**3 - 6*c + 6. Let b(w) = w**2 - w + 1. Let j(d) = r*v(d) - 6*b(d). Find the third derivative of j(p) wrt p.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -311454 - -311529.9938. Let w = i - 76. Let a = 0.006199013 + w. Round a to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2. Let p(n) = 2*n + 40. Let q(i) = -4*i - 80. Let x(h) = -5*p(h) - 2*q(h). Give j(x(m)).\nAnswer: -4*m**2 - 160*m - 1600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 0*a - 6. Let v(u) = u + 2. Let x be v(-2). Let z(r) = x + 3 + 2*r - 3 - 2. Let q(c) = 6*c - 5. Calculate a*q(g) + 8*z(g).\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l - 4. Let g(i) = -i**2 - 2*i + 5. Let d be g(-2). What is n(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/3 and 17\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/10 + (-38)\/(-10). Let h(c) = 14*c + 9. Let p be h(u). Suppose -4*g + 32 + 72 = 0. What is the highest common divisor of g and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - ((5 - -2) + 6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -333780, -1335124, -3004040, -5340528, -8344588, -12016220?\nAnswer: -16355424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -10111 (base 2) to base 13\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 4 (b) 3 (c) -2\/3 (d) -8\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 30, 9, -18, -45, -66, -75, -66?\n\"Answer: r**3 - 9*r**2 - r + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 8 - 3. Let o = -5 - -8. Which is the third biggest value? (a) o (b) -3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3\/5 + 1721541*v**2 - 206583624*v\/5 + 1239499152\/5.\nAnswer: -3*(v - 2869211)*(v - 12)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42 - -45. Let v be 5 + (-3)\/(-3) + 0. Sort 4, -4, a, v.\nAnswer: -4, a, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1, 27, 103, 251, 495?\n\"Answer: 4*o**3 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 6\/7*o + 4\/7*o**2 + 2\/7*o**3.\nAnswer: 2*o*(o - 1)*(o + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 7:01 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 33) + -55 + 96?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1207 is divided by 62?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p**2 - 3*p**2 - 8 + 0*p**2 + 647*p - 653*p. Determine z(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + (sqrt(119)\/(sqrt(21)\/sqrt(3)))**2 + (sqrt(612) + 0 + sqrt(612) + sqrt(612))**2 + -3*(sqrt(612) + sqrt(612)*-2 - sqrt(612) - sqrt(17))**2.\nAnswer: -3094 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**3 + 872228*l**2 + 6105744*l + 10467072 = 0.\nAnswer: -4, -3, 218064","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s - n + 13, 0 = -3*n - 2*n - 15 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39388*h**2 + 154*h + 697*h**2 - 154*h to the form n + g*h + q*h**2 and give q.\nAnswer: -38691","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -53*n**3 - 101*n**2 + 5. What is j(-2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 1.890353.\nAnswer: -0.7561412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -5*j**2. Let h(l) = -l**2 - 8. What is c(h(o))?\nAnswer: -5*o**4 - 80*o**2 - 320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, -2\/7, 3\/5, -76, 0.2?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-405)\/1080)\/((-175)\/(-56)).\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 7 = -5*t, 2*t = -3*h - 4 - 10 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o - 6*o + 3*o + (1 - 3 + 4)*(1 - 1 + o) - 5*o + 3*o + 3*o + 1 + 5*o - 1 + 0*o - o + 6*o.\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33958 or -1562095\/46?\nAnswer: -1562095\/46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 499229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1437 - -1439. Let v(q) = -2*q**2 + 3*q - 1. Let d(f) = 2*f**2 - 3*f. Give z*d(p) + 3*v(p).\nAnswer: -2*p**2 + 3*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 5*g = -3*q - 16, -3*g + 2*q = -10. Let b = -1 + 0. Let v be 0*b\/(-1 + 2). Solve v*a = -g*a - 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26291870.\nAnswer: 2, 5, 11, 239017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 25 - 20. Let h = 12 + n. Find z, given that -2*z**3 - 2*z - z**4 + 4*z**h + 0*z**3 + 1 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20856 or 20866?\nAnswer: 20856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 227 = -s - 735, -4*v = -s - 1926. Suppose -14*t = -v - 358. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 21 + 310 = 0. Suppose 0 = 4*l - 99 + a. Let p = l - -177. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-2*sqrt(75) + sqrt(75) + (4 + sqrt(75))**2*2.\nAnswer: 182 + 115*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/81*(-1)\/((-12)\/(-9)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52607 by -32.\nAnswer: 52607\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 50, 2, 0, -498, 3.1 in descending order.\nAnswer: 50, 3.1, 2, 0, -498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -243245152 (base 6) to base 2\nAnswer: -10001101101000000111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/5)\/((-1)\/((-1)\/(-1))).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*z = i - 44*z + 12, 2*z = -4*i - 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 22\/(-77)*(-84)\/(-3)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of r**7\/280 - r**6\/45 + 7*r**5\/120 - r**4\/12 - r**3\/3 - 2*r**2. Let b(x) be the first derivative of p(x). Factor b(v).\nAnswer: (v - 1)**2*(3*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54 - 96) + 13 - (-4702)\/162.\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 933884 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1058 - 1058.5. What is the nearest to -0.2 in f, -0.6, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.881 - -31767.385?\nAnswer: 31780.266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -29\/245, -0.5, 0.4, -2\/15 in decreasing order.\nAnswer: 0.4, -29\/245, -2\/15, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4584\/19482 + (-19)\/(2584\/17168)\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -14*z + 2*z**2 + 13*z + 0*z**2. Let j be m(-1). Solve 5*h = j*h + 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 155*x - 152. Let n be s(1). Solve t - 8 = 8*i - 5*i, -3 = n*i for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 9\/4*l + 3\/4*l**2 = 0. Calculate l.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 7:14 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -4 - (6 + -9 + -5) - (19 - 1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 2 (c) -214318\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o + 4. Let p be u(-3). Suppose 2*k = 5 + p. Let s(x) = x - 1. Let h(d) = d - 1. Let l(z) = 3*h(z) - 4*s(z). Give l(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 11, -3\/2, 5, -0.1, -2.8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2078, 2081, 2084?\nAnswer: 2087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, x: 1, l: 5, b: 2}. Give prob of sequence lxbl.\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2544379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -65?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-19)*m)\/(m\/(m*m**(1\/30)*m*m)*m)*(m*m**26\/m*m)**(-7) assuming m is positive.\nAnswer: m**(-6179\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 36*i + 89. Calculate s(-15).\nAnswer: 404","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t + 22. Give a(17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/(-133) - (-6)\/14.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 188709151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of n**3\/3 - 12*n. Let l(c) = -18*c**2. Determine t(l(u)).\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4 - 2 - 4*w + 1. Let d(i) = -i + 1. Let a be -6*(21\/(-6) + 3). Give a*d(c) - t(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*((-10)\/4 - -3). Let y be 10350*a\/((-12)\/(-16000)). Round y to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 1. Let l be ((-16)\/10)\/(t\/(-30)). Suppose -l = -y - 4*w, 4*y - 5*w - 6 = 21. What is the highest common factor of y and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 7:10 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5053*q**3 + 46*q**2 + 8*q. Let n(w) = 10108*w**3 + 98*w**2 + 14*w. Let p(t) = 18*k(t) - 10*n(t). What is the third derivative of p(g) wrt g?\nAnswer: -60756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, s: 2, i: 8}. What is prob of sequence li?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 6*b - 1. Let v be d(7). Let m(p) = -8*p**2 + p - 7. Suppose 0 = 221*n - 218*n - 33. Let w(r) = 15*r**2 - 2*r + 13. What is n*m(z) + v*w(z)?\nAnswer: 2*z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -5*v + 70, 0 = -6*v + v + w + 54. Suppose q = 5 - 2. Let m be (4 - (-12)\/(-4)) + q. Calculate the greatest common factor of m and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -438 != -440?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 442 - 15. Is s a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 250.3912 millimeters?\nAnswer: 0.0002503912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k = 5*k - 2860. Let l = -128 + k. Solve 3*h + 5 = v, 5*h - 3 + 13 = l*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1319 and 6730857?\nAnswer: 1319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -123 + -4?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -7120*o**2 + 14*o + 154. Let q(a) = -1017*a**2 + 2*a + 23. Give 3*c(f) - 20*q(f).\nAnswer: -1020*f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1004 + -2497. What is the thousands digit of (-2 + 2)\/(-4 - -3) - z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -1.36, -4, 1\/2, -3, -1\/10 in increasing order.\nAnswer: -4, -3, -1.36, -1\/10, 0.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 7*t**2 - 2*t - 2. Let m be b(-6). Suppose 3*y = y + m. List the prime factors of y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -343 - -3?\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 6:30 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-16 + (13 - 11 - -12)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**3 - 7*d**3 + d**3 + (-2*d + d - d)*(4*d**2 - 3*d**2 + 0*d**2) + d**3 - 2*d**3 + 6*d**3 - 4 + 4 + 2*d**3 + (-2*d - 2*d + 6*d)*(0 + 0 + 2*d**2).\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 478673 is divided by 477148.\nAnswer: 1525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = 2*g - 1168. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o = 12556 + 21611 + 11841. Calculate the remainder when o is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**3 + 2*g**4 + 0*g**3 - g + 17*g**2 - 18*g**2 to the form r + b*g**2 + q*g**3 + t*g + c*g**4 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 912 divided by 4?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7 + 2 - -5)\/(0 + 1). Let d(z) = z + 253. Let q be d(j). Find the first derivative of -252 - 13*b - 4*b + q wrt b.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**2\/6 + 9257985*h - 55547909\/6 = 0. Calculate h.\nAnswer: 1, 55547909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24426961 is divided by 240.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4*h - 48 = -7*r, 135 = 5*r + 5*h. Let o be (5\/r)\/((-2)\/(-4)). What is the closest to 2 in -2, o, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 4*v + 6. Suppose v*c + 20 = 2*c. Let y(l) = -l - 2. Let a be y(c). Sort 1\/2, a, 1.\nAnswer: 1\/2, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-285)\/(-75) - 2\/(-7 - 3). Let 8*j**2 + 38*j**5 - 68*j**5 + 32*j**5 - 8*j**3 - 2*j**f = 0. Calculate j.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a**2 - a - 4. Let x be i(2). What is the fourth biggest value in x, 0.4, 1\/2, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-4 - (-480)\/130)*8\/26. Solve -y*m - 12 = -23*z + 19*z, z = -m + 9 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1693?\nAnswer: -1693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 11 - 28*c**2 - 28*c**2 - 35*c**2 + 92*c**2 + 12*c. Suppose 0 = 4*y + 6 + 34. Determine t(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22102212200 + 1?\nAnswer: 22102212201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2. Suppose 0*d - 4*d = -5*n + 8, -2*n - 4*d = 8. Let f(l) be the second derivative of n - 1\/3*l**3 + 0*l**2 - 2*l. Determine r(f(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, j: 2}. What is prob of picking 2 b?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 72 + -22. Is l <= 50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5005535 (base 6) to base 13\nAnswer: 829c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 32\/11*1914\/20416\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(1053) + 2 - sqrt(1053))**2 + -3) - ((0 + sqrt(325))*-5 + 3).\nAnswer: -2 + 25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39022872001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 5. Suppose -6*v + v = -5*x - 90, 5*v + t*x = 66. Let f = 45 - 37. What is the remainder when v is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -6, 12 in descending order.\nAnswer: 12, 3, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 3286 divide 50492676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 44*y**3 - 26*y**2 + 75*y - 10. Determine c(5).\nAnswer: 5215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 4:22 AM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + (-1)\/(-1) + 0 - 0. Let c(k) be the first derivative of -2*k**2 + 2\/3*k**3 + 0*k - x + 1\/2*k**4. Factor c(m).\nAnswer: 2*m*(m - 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -46.2, -365, 2 in descending order.\nAnswer: 2, -0.4, -46.2, -365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2086914 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4*(-1)\/5)\/(28\/(-4270)). Let a = 41 - x. Let s(b) = -13*b**3 + 4. Let d(z) = -261*z**3 + 81. What is a*s(n) + 4*d(n)?\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20320458 a multiple of 786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, a: 3, e: 2, u: 3, n: 4}. Give prob of picking 1 e and 1 m.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five sixths of a week?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + 0. Suppose -567 = -k*y + 229. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d*d**(-12))*d*d*d**(2\/7)*d*(d*(d*d\/(d*(d\/((d**0*d)\/d)*d)\/d*d))\/d)**(-1\/26) assuming d is positive.\nAnswer: d**(2789\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 29 = 3*j. Suppose -5*v + h + j = 0, -2*v + v - 3*h + 9 = 0. Let x = v + -4. Sort -2, 1, x in ascending order.\nAnswer: -2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2 - 52*o - 351. Let z be a(-11). Let f(d) = d**3 + 21*d**2 + 3*d + 63. Give f(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of d**4\/4 + 7*d**3\/3 - 14*d**2 + 13*d + 5912. Determine p(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2103913 and 9702?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 2. Let r(w) be the first derivative of -4*w**2 - 2*w + 21235. Let b(x) = -9*x - 2. Give g*r(p) + 6*b(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 356153420 a multiple of 310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 2*l + 4 = -16*l + 7*l + 4*l, -228*l - 1368 = 0 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*u**4 - 31 + 31 + (5*u**2 - 4*u**2 - 3*u**2)*(0*u**2 - u**2 + 0*u**2) - 13*u**4 - 7*u**4 - 12*u**4.\nAnswer: -22*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5506482, 5506480, 5506478, 5506476, 5506474, 5506472?\nAnswer: 5506470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**2 + 25*l + 11. What is o(13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 5754*b**5 + 49115*b**4 + 59591*b**3 - 22529*b**2 - 47873*b - 9114 = 0.\nAnswer: -7, -7\/6, -1, -31\/137, 6\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 429 - 3*z + 430 + 433 - 1292.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1398 divide 60714108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2. Let d(l) = 0*l - 5*l + l + 2*l. What is d(z(b))?\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or -21\/2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -15*(3\/1 - -9). Let r be (-395)\/b - 3 - 6\/(-8). Let i = 13\/18 + r. Put 1, i, 11 in descending order.\nAnswer: 11, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 57*j**3 + 12*j**2 - 21*j + 2789. Let p(d) = -2*d**3 + d**2 - 2*d + 5. Let h(c) = -m(c) + 9*p(c). Differentiate h(t) with respect to t.\nAnswer: -225*t**2 - 6*t + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10964, 10965, 10966, 10967?\n\"Answer: a + 10963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -473\/1988 + -6\/497. Let o = 1.3 - 1.4. Let q = -47\/100 + -7\/25. Which is the nearest to h? (a) q (b) o (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -2*k**3\/3 + 6*k**2 - 25*k. Let t be c(3). Solve 0 = z - 2, 3*z - 1 = -5*n - t*z for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l - 6. Give j(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66924 and 260.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -53312090 rounded to the nearest one hundred thousand?\nAnswer: -53300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15977630*b**3 + 10334231 wrt b?\nAnswer: 47932890*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -281, -105, 59, 211, 351, 479, 595?\n\"Answer: -6*l**2 + 194*l - 469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = 3*x + 1911. Let l = x - -1007. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -10*o**2 + 0 - 7\/60*o**5 + 0*o**4 + 0*o**3 + 0*o. Let x(f) = 7*f**2. What is x(z(w))?\nAnswer: 343*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 35942687.4 minus -3?\nAnswer: 35942690.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1402 - 1391 - 5*u - 129*u.\nAnswer: -134*u + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/((-4)\/2) - -1. What is the remainder when ((-6)\/12)\/(f\/(-108)) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**5\/15 + 55*x**4\/6 - 112*x**3\/3 + 205*x**2 + x. Factor a(h).\nAnswer: 4*(h - 1)*(h + 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 b when four letters picked without replacement from {b: 11, c: 5}?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -2, 0.01, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -s**5\/4 - 7*s**4\/4 + 3*s**3\/2 - s**2 - 17*s - 45. Let h(w) be the second derivative of b(w). Solve h(o) = 0.\nAnswer: -3, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 424679960 to the nearest integer?\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ifiiiooioo. What is prob of sequence iio?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.07 - -4.07. Let o be ((-8)\/70)\/(12\/10). Let s(t) = -2*t + 10. Let y be s(7). Which is the smallest value? (a) y (b) o (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-192)\/(-64))\/((21\/(-910))\/(1\/(-5)))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4 + 259*u**3 + 257*u**2 - 259*u - 258.\nAnswer: (u - 1)*(u + 1)**2*(u + 258)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -3\/3448?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -1) + -5 + -4 + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, o: 2, p: 2, f: 2, j: 1, e: 1}. Give prob of picking 1 o, 1 j, and 1 e.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**4 - 7*j**3 + 17*j**2 + 7*j - 15 = 0.\nAnswer: -5, -1, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2300292829?\nAnswer: 26927, 85427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29630 = -5*m - 5*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97632 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -172753*h**2 + 42*h - 4366 wrt h.\nAnswer: -345506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 3894.\nAnswer: -1\/354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -10*t + 84. Let z be q(-13). Let x(b) = z*b - 233 + 117 + 116. Let j(w) = w**2. Give x(j(y)).\nAnswer: 214*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -0.2 (c) -5 (d) -304\/3 (e) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -71919 less than or equal to 185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 4, m = -3*j + 5*m - 19 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18278087\/1948 + -9383. Which is smaller: s or 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, f: 7, e: 1}. What is prob of sequence ffxe?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 5 + 410161*w**2 - 410162*w**2 + 5.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 6*f**2 + 4. Let y be s(-6). Calculate the highest common factor of 36 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14\/3 in 4\/1471, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 140*b + 4334. Determine z(-31).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2994255827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 m when four letters picked without replacement from mummmmmmuummmmummm?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -32a96 - 47?\nAnswer: -32add","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000113 to 6 dps.\nAnswer: -0.000113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**2 + 1284*l - 181440 = 0.\nAnswer: 210, 432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - y. Suppose 4*l = -y*l + 16. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -4*i - 659 + 231, 209 = 2*v - 3*i. Suppose -v*w - 3565 = -117*w. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -178*w**2 + 623. Let n(c) = -1. What is 1246*n(r) + 2*s(r)?\nAnswer: -356*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1*59\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 2 + 3)*(0 - 1 + 0) - 53 + 5 + 6)*(-102 - 3*y**2 + 102)*(-4 + 7 - 1)*(-1 + 3 + 2) to the form z + o*y + s*y**2 and give s.\nAnswer: 1056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 548.\nAnswer: 1\/548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/4 and -51\/26?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1323578?\nAnswer: 2, 19, 61, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*r = 135*r - 1092 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32*j**4 + 12*j**5 + 32*j**4 + (5*j**3 - 7 + 7)*(3*j + 2*j**2 + 15*j**2 - 8*j**2).\nAnswer: 57*j**5 + 15*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/((-6)\/(-2))*(-174)\/(-696)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-11)\/q))\/q**(-1\/31) assuming q is positive.\nAnswer: q**(404\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**(4\/11)*o)\/o)**(-2\/17)\/((o**21*o*o*o*o)\/o*o**(7\/2)) assuming o is positive.\nAnswer: o**(-10357\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/5*(0 + -1). Suppose r = 3 - s. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 6:06 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.200390433 to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 275.1 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 230306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -223, -469, -737, -1033, -1363, -1733, -2149, -2617?\nAnswer: -3143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h**5 + 5490*h**4 + 1495990*h**3 - 6044480*h**2 + 7579005*h - 3036010 = 0 for h.\nAnswer: -551, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37*u**2*v**3 + 5*u**2*v + 11*u*v**3 - 3*u*v**2 - 76*v + 3 wrt v.\nAnswer: -222*u**2*v + 66*u*v - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-15) - 3\/(-212)*-51. Let o be 4\/(-14) + (-3572)\/(-742). Let t = l - o. Find the common denominator of t and -37\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2 - 2*h**4 + 4 - 2*h**4 + h**4 wrt h.\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f - 2 + 47*f**4 - 26*f**4 - 28*f**4 to the form o*f + v + x*f**3 + l*f**2 + p*f**4 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 11*t - 13*t + 17, -5*c + 10 = -5*t. Solve -3 = -j - c for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/6735? (a) 2\/9 (b) 2\/3 (c) -0.2 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*w + 3. Let a = -25.6 - -21.78. Let t = 0.18 - a. What is the third smallest value in 5, w, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61.8 - 64.8. What is the fourth smallest value in 3, z, -33, -5\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 241893036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**5 - 56*j**4 + 141948*j**2 + 17*j + 1233142 wrt j.\nAnswer: 20*j**3 - 672*j**2 + 283896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/8 - 5\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 + u - 1. Calculate the remainder when g(5) is divided by (-6)\/8 - 236\/(-16).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -o**5\/20 - o**2. Let l be -1 - (-2 - -1) - -3. Let i(t) = t**2 - 6*t**2 + t**2 + l*t**2. What is i(r(b))?\nAnswer: -9*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 1085 + 43*m**3 - 186 - 899 - 115*m**2 + 2*m**4 - m**4 in the form b*m + l*m**2 + w*m**4 + c*m**3 + j and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -855*b + 864*b + 36 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l*l*l\/(l*(l\/(l**(2\/7)*l))\/l)*l*l)\/l)**(-22)*l**(-1\/2)*l**(1\/4)*l)\/(l**1*l**1*l**0*l\/(l**(-1)\/l)) assuming l is positive.\nAnswer: l**(-3375\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 1:45 PM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**4 - 7*t**3 + 6*t**2 + 4*t - 2. Let g(n) = n**5 - 2*n**4 - 6*n**3 + 6*n**2 + 3*n - 2. Let v(j) = -3*g(j) + 2*q(j). Factor v(z).\nAnswer: -(z - 1)**3*(z + 1)*(3*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iirkk. Give prob of picking 1 r and 1 k.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3)*((-44022)\/11)\/(-58).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1823485402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8557 - 1716?\nAnswer: -10273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 0 + sqrt(1377) + 5*sqrt(153) + 4)**2.\nAnswer: 48*sqrt(17) + 9793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -19458, -19138, -18818, -18498?\n\"Answer: 320*q - 19778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*u - 3631 - 4049 = -359*u for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3 = x, -7 = -y - 3*x. Calculate the least common multiple of 52 and y.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - (sqrt(76) + (sqrt(76) - (sqrt(76) + (sqrt(76) - sqrt(76)*-1))))*-2)\/(sqrt(196)*2).\nAnswer: -sqrt(19)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-1) + -2 + 4. Let y = a + -1. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0300421 decades in centuries?\nAnswer: 0.00300421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*s - 0*s + 5*s - 56240. Is 56 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 4, -3*r - 4*s + 0*s + 107 = 0. Calculate the remainder when r is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000390136988 rounded to seven dps?\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8\/(-16) + (-146)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 23273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1120, 2668, 4198, 5704, 7180, 8620?\nAnswer: 10018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 50 = -47, 5*c - 52549495 = -5*r. Round c to the nearest ten thousand.\nAnswer: 10510000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l. Let b(n) = -617*n + 2. Give b(i(k)).\nAnswer: -1234*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 854\/22 - 4\/(-22). Let n = 31 - r. Let w be n\/(-2)*(-17)\/51. What is the nearest to 2\/9 in w, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -722, -0.2, 5\/4, -2, 2?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2300171394 to four dps.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00282384 to 4 dps.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 6*q - 4. Let p be w(-4). Let m = 0 + -8. Let z = p + m. What is the biggest value in 3, -1, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 6 - -7 - 5) + -10.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + 52. What is the first derivative of 150 - g - 3*u - 65 wrt u?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -t**7\/840 + t**6\/60 - t**5\/120 - t**3 + 3. Let q(y) be the third derivative of z(y). What is q(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 43 - 43 - 2*a. Suppose h + 4 = 3*h. Let o(g) = -h*g + 0*g + g. Calculate f(o(q)).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30390 - 30390 - 919*a.\nAnswer: -919*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7\/3*r**2 - 1\/3*r**3 + 7\/3 + 1\/3*r.\nAnswer: -(r - 1)*(r + 1)*(r + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-14))\/(21\/(-140)*-5). Factor -s*w**2 + 2\/7*w**4 + 0 + 0*w + 0*w**3.\nAnswer: 2*w**2*(w - 1)*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 119570, 478285, 1076142, 1913141, 2989282?\n\"Answer: 119571*q**2 + 2*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 5*w - 361 + 2808, 5*w + 1834 = 3*y. What are the prime factors of y?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -64 - -446\/7. Let d = 1.7143 + -3.7143. Is d greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -18*v**5 + 39*v**4 - 9*v**3 - 3*v**2 + 3*v. Let o(f) = 17*f**5 - 40*f**4 + 9*f**3 + 2*f**2 - 4*f. Let q(k) = 3*o(k) + 4*x(k). Solve q(z) = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003377513602 to 7 dps.\nAnswer: 0.0000338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1823.\nAnswer: 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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 l = -16 + 20. Let o = l - 8. Let h = 1.7 + 0.3. Which is the closest to 1? (a) o (b) h (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - 4) + 2 - 1. Which is the smallest value? (a) 2\/3 (b) p (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 4:22 PM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-148)\/(-18) + 6\/(-27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21092 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/57)*w**(-13))\/((w**(2\/33)*w)\/w**(-19)) assuming w is positive.\nAnswer: w**(-20707\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-651)\/133 - (-48)\/(9 + 7).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 212*d - 1. Is i(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 242 = 35. What is the remainder when 1162 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(sqrt(3) - ((1*sqrt(108) - sqrt(108) - sqrt(108)) + sqrt(3))))**2.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + -1)*5.\nAnswer: -5 + 45*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/1949? (a) -1 (b) -4 (c) 0.498 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 12 = -r. Does 19 divide 304\/r + (-4)\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2558 + 538327.\nAnswer: 538327.2558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -75 - -325. Let m = v + -130. Let h = 104.2 - m. Round h to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1*sqrt(891) + sqrt(110)\/(sqrt(120)\/(-1*sqrt(12))))**2.\nAnswer: 16*sqrt(11) + 705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7074\/11 at most 644?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3*((1*(2*sqrt(112) - sqrt(112)) + sqrt(112))**2 - (sqrt(112) - (-2 + sqrt(112) + -3)**2))*1.\nAnswer: -132*sqrt(7) + 1750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + 7)*2\/44. Let r = -4.52 + 4.02. Which is the nearest to k? (a) 4 (b) r (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eekddheehhhkhkwhhdh. What is prob of sequence dkde?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7125 (base 14) to base 9\nAnswer: -28586","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - (0\/(-3) - 3). Suppose q*h + 35 = 11*h. Solve 4*z + 1 + h = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 11*l - 675 = 0. Let w = l - -135. Is 10 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 177265330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1051 divided by 458\nAnswer: -1051\/458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 361.3514 millilitres in litres?\nAnswer: 0.3613514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 1630*p**2 + 10*p - 9. Is j(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 239, 1920, 6191, 14210, 27135, 46124?\nAnswer: 72335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z - 50 = -2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6805, -6813, -6835, -6877, -6945, -7045, -7183, -7365?\n\"Answer: -q**3 - q**2 + 2*q - 6805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14404764 to the power of 1\/3, to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12.9 + 13. What is the closest to 0 in 0.2, p, 2\/9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -85*h - 343. Determine w(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-104)\/12*3\/2. Let q = -10 - y. Let l = q + 10. What are the prime factors of l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) 5 (c) 28767 (d) 0.1 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*l + 2*l. Suppose -l = -t + 3*s, -s + 3*s + 56 = 2*t. Suppose 3*g - 5*d = t, 3*d + d + 8 = 0. Calculate the least common multiple of g and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 4*y - y)*(y + 1 - 1) + (16*y - 6*y + 4*y)*((2*y - 2*y - y)*(2 + 0 - 3) + 3*y + 4 - 4).\nAnswer: 59*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 80081032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 7:00 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**5 + 224*g**4 + 4344*g**3 + 34560*g**2 + 112644*g + 127008 = 0. What is g?\nAnswer: -21, -8, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(175)*2)**2*-3 + (-1*sqrt(252) + sqrt(7)*-1*-4)**2.\nAnswer: -18872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -20*f - 12. Let l be g(-5). Let o = -130 - -135. Suppose o*i - l = 227. Calculate the remainder when i is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(143)*-2 + sqrt(143))*2)\/(5*(sqrt(77) + (-1*sqrt(77) - sqrt(77)))\/sqrt(7)).\nAnswer: 2*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffllllffflf. What is prob of picking 3 f and 1 l?\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6410 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 4*j**2 - 52*j - 13. What is x(16)?\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 611 + -434. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of 9\/8*k**4 - 13\/3*k**3 + 28 + 0*k + 11*k**2. Let t(b) be the second derivative of d(b). Differentiate t(q) with respect to q.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 3*m = 12 - 0, -4*k - 5*m + 20 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -186797 and 775?\nAnswer: -144767675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 13*d - d. Calculate the least common multiple of d and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1)**22*(u\/u**(2\/7))**(2\/7))\/(((u*u*u\/(u*u*u\/(u**(2\/7)*u)*u))\/(u\/u**(-2\/3)*u))\/(u**1\/u)**41) assuming u is positive.\nAnswer: u**(3614\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 2:13 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 403, 396, 389, 382?\nAnswer: 375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 8*r - 5. Let a be t(7). Let s be 2*(451\/(-198) + 2\/(-9)). Let w = -67\/99 + 5\/11. What is the second biggest value in w, a, s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 2 = 3*n + 2*m, 0 = -5*n + 4*m + 31. Let u be 38\/6 + 2\/n. Let w = u + -2. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 2*u. Let h(c) = 5*c**2 + c - 8. Let q(r) = 4*f(r) + h(r). Let t be q(9). Solve -4*g + 2*g = t for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14292 - 8454. Let p = r + -3793. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.67911 grams in kilograms?\nAnswer: 0.08967911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + 287341.\nAnswer: 287337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 107172.0200063 + -107175.22. Let a = l - -3.2. What is a rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b + 3. Let d(o) = -25560*o + 12780*o + 12 + 12776*o. Give -2*d(s) + 9*y(s).\nAnswer: -s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 12*a**2 - a - 7. Let r(p) = -p**3 - 13*p**2 - p - 6. Give 6*r(w) - 5*x(w).\nAnswer: -w**3 - 18*w**2 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k + 9. Calculate the smallest common multiple of 10 and s(-3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zumuummuu. What is prob of sequence zu?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-11)*(-1)\/(-4). Let u = -516737\/7 - -73599. Let g = u - -221. Sort g, k, 0.1 in ascending order.\nAnswer: 0.1, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 145.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - o - o)*(-3 - 3 - 1)*(1 - 3 - 3).\nAnswer: -70*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**3 - 3*d - 3. Let f be t(-2). Put 1, 0, f in increasing order.\nAnswer: f, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1370 and 426862?\nAnswer: 292400470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3685540?\nAnswer: 2, 5, 127, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2*(sqrt(80) + 2*sqrt(80) + sqrt(80)) + 0)**2.\nAnswer: 10240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4085, -4084, -4083, -4082, -4081, -4080?\n\"Answer: y - 4086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -v**4\/24 + v**3 - 12*v**2. Let a be u(4). Solve 4 - 2 = a*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(468)*5)**2 + sqrt(468) + sqrt(13).\nAnswer: 7*sqrt(13) + 11700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -1. Suppose -6*q = -g*q - 6. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 182*g**2. Let d be r(1). Let p be ((-9)\/(9\/8))\/(3 - 5). Suppose p*o = 2*o + d. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-1*sqrt(450))\/((sqrt(80)\/sqrt(2))\/sqrt(4)))\/(sqrt(441)*-4 + 3*sqrt(576)).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -200201202 (base 3) to base 12\nAnswer: -7a9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 715.0565612 to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10120 (base 5) to base 10.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((1 + sqrt(76) + -5 - (0 + 1*sqrt(76))) + 2 + -1*sqrt(76) + -4)**2.\nAnswer: -336 - 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.069 + -0.711. Let a = 0.28 + c. What is the third biggest value in a, 4.7, 0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1718*t + 822*t + 10 + 894*t + 5 - 13 - 2.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 12*p + 30. Let l be g(9). Which is the second smallest value? (a) -0.4 (b) -1\/8 (c) l (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 44*r**2. Let y be (-819)\/(-52)*(-4)\/(-3). Let h(k) = -3*k**2 + 21*k - 42*k + y*k. Give h(n(q)).\nAnswer: -5808*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 240, 322, 122, -498, -1676, -3550?\nAnswer: -6258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(1\/3)*q*q**(-1))\/((q**6*q)\/q**(4\/7)) assuming q is positive.\nAnswer: q**(-121\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/9*(-130)\/10)\/(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 10*m**2 - 5*m - 17. Let c(f) = 11*f**2 - 6*f - 17. Determine 5*c(h) - 6*v(h).\nAnswer: -5*h**2 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-105)\/28 - -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23*5\/(-805))\/((-3)\/(-49))?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 18926659, 18926672, 18926685, 18926698, 18926711?\n\"Answer: 13*g + 18926646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*m + 10 - 11 + 1)*(-17 + 9 + 21)*(2*m + 3*m - 4*m).\nAnswer: 104*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4*l + 7. Let a(m) = 5*m - 7. Let d(o) = -2*a(o) - 3*z(o). Let x be d(6). Solve u = x*u - 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6533055731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -43*y - 509. Let d be k(-12). Solve 2*f + 3*w - 3 = 0, -d*w = -f - 10*w for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 38*j - 148. Let o be a(8). Solve -4*s - o + 140 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 3*r**2 - 5*r. Suppose 0 = -5*t + 5*n, -5*t - 5*n - 12 = 28. Let w be k(t). Suppose 23 + 2 = 5*x. Solve -c = x*p + 7, -3 = -c + w*p + p for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 11691, 23464, 35237, 47010?\n\"Answer: 11773*r - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -19, -2, 8, 28 in descending order.\nAnswer: 28, 8, -2, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319.\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.6 - 5. Let s be 4\/(-3) + (-1 - -1). Let w = 2 - 1. Put w, s, n in descending order.\nAnswer: w, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251135 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n**3 - 3*n. Let u(h) = 7*h**3 + 6*h - 1. What is 2*u(c) + 5*y(c)?\nAnswer: -c**3 - 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a week in minutes?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + -3 + 4 - -2. Solve -3*r = -d*r - 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - u**3 + 2249*u - u**4 - 2247*u + 2*u**4 + 41*u**2 as h*u**4 + c*u**3 + p + b*u**2 + r*u and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 3)*(-10 - 23 - 12) + 1 - 1 + 2)*(-2*n**2 + n**2 - n**2)*(-1 - 2 + 6).\nAnswer: -822*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -18. Let v = -2 - -5. Suppose p + v*p + 8 = -3*o, 5*p - o - 9 = w. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.2 - -0.35.\nAnswer: -9.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 16 = 3*m. Solve -3*g - 5*j - 29 = -2*g, -4*g - 1 = -m*j for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27099923\/120 + 225834. Find the common denominator of 42 + (40 - 86) + 1191\/198 and p.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 5)*(1 - 1 + 2*o).\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6.7 in -0.09, 6, 0.3, 12, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3472 is divided by 3435?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -2\/9, 5, 0, -2\/5, 7571, 4, -0.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 6:48 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8725 = -241*a - 6781 + 5655 - 9670 for a.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**2 + 18*c + 56. Give n(15).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*t + 897 = -t, v - 5*t = 446. What are the prime factors of v?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1673*z + 671*z + 480*z - 292*z to y + j*z and give j.\nAnswer: 2532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-6) + 542\/6. Suppose -7 - 15 = -4*n - 5*f, -3*n + f + 45 = 0. What is the greatest common divisor of x and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9b - 1b?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -7 - (1 + -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 7*o + 219. Let u(c) = 6*c + 190. What is 5*i(p) - 6*u(p)?\nAnswer: -p - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 27.7 and -15.3.\nAnswer: -423.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1272\/129 - (5 + (-4)\/24 + 62\/12)?\nAnswer: -6\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -102 in 6\/7, 0.164, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124421 is divided by 2393?\nAnswer: 2378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*j**2 + j**2 - 8*j**2.\nAnswer: -23*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-seven quarters of a litre?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 7*o + 5. What is the tens digit of d(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 340 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 2\/29 (c) 2\/11 (d) -88 (e) 1 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 0. Let h(u) = 2 + 4*u - 2 - 2*u - 2. What is the units digit of h(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 26 + -1?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4843*k**2 + 10696*k**2 - 5*k + 5714*k**2 + 7*k.\nAnswer: 21253*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**4\/3 - b**3 + 4*b\/3 = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -43776.\nAnswer: -8755.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 2 + (3 + 0 - 4)*(0 + 1 + 0))*(7*s + 5 + 5*s - 4).\nAnswer: 12*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c + c + 3*c**2)*((0*c + c + 0*c)*(1 + 2 - 13)*(4 - 3 + 1) - c - c + 5*c) in the form s + h*c + q*c**3 + i*c**2 and give q.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + a + 11139, -81*o + 83*o = 3*a + 22273. List the prime factors of o.\nAnswer: 2, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h**3 + 30*h**2 + 28*h - 131. What is v(12)?\nAnswer: -659","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 20201013?\nAnswer: -20201002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*u + 2*p, 4*u - 8 = 5*p - 2*p. Solve -u*c = -5 + 15 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 82*y - 8837. Give z(113).\nAnswer: 429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(9\/(-15))*(-1 - 0). Let d be -12 + (-1 - -3) - 4. Put 5, z, d in decreasing order.\nAnswer: 5, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26852 and 7124.\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*t**2 - 9*t**2 - 5*t**2 to the form s*t + g + y*t**2 and give y.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -554*l + 132433. What is k(239)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -59807241 divided by -3341?\nAnswer: 17901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3.707211s?\nAnswer: 0.06178685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -8*v**2 - 160*v**3 - 130*v**3 + 5*v**2 - 7 - 4*v + 289*v**3. Calculate h(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3 - 2134960*g**2 + 21349225*g - 53372750.\nAnswer: 5*(g - 426982)*(g - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-2))\/(6\/8). Let n = p - -4. Let c = -9 - -25. Calculate the lowest common multiple of n and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3. Let a be ((-56)\/70)\/(4\/(-30)). Let z(q) = -10*q - a*q + q**2 + 17*q - 7*q**3. Determine -5*o(y) - z(y).\nAnswer: 2*y**3 - y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*f - 0*f. Let g = -366 + 366. What is the fourth smallest value in 0.4, g, -0.2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-26)\/(-65))\/((-1)\/(-5)). What is the highest common divisor of 30 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 40 = -w. Let v(x) = x**2 - 7*x + 6. Let p be v(1). Suppose p = 187*m - 189*m + 6. Calculate the remainder when w is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 755444 + -3?\nAnswer: 755441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 34, 36, 4, -62, -162, -296?\n\"Answer: -17*l**2 + 53*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q + 6. Suppose 4*n - 2*k = -4*k + 28, -n - 4 = -5*k. Let v be j(n). Suppose -4*g = -v, 0 = -a + 4*g - 0*g. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-15) + 1\/(-3) + 1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c*c**(-2\/5)*c)\/c*c))**(-2\/31)*c**(-8\/7)*(c**2*c)\/c assuming c is positive.\nAnswer: c**(972\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357206 is divided by 2178?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k + 4. Let h(g) be the first derivative of 7*g**2\/2 + 9*g + 26. Determine -5*b(l) + 2*h(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r - 1. Let c be i(-2). Suppose 5*b - f = -0*f + 19, -3*b + f + 11 = 0. Let h = -2 + 4. Solve 3 = 3*g - z, c*g - 12 = h*g + b*z for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 3*o**4\/20 + 18*o**3\/5 + 177*o**2\/10 - 234*o\/5 - 1855. Suppose s(r) = 0. What is r?\nAnswer: -13, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 732382039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 5*u - 2*u - 5*u + 3*u. Let j(l) = l**3 + 23*l**2 + 23*l + 21. Let y be j(-22). Let t(q) = q**3 + 6*q + 2. Give y*t(c) + 6*i(c).\nAnswer: -c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.7? (a) 0.1 (b) 0.13 (c) 1\/9 (d) -2\/71\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 452.8299 seconds?\nAnswer: 7.547165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-3)*(-270)\/36.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.692 times 14?\nAnswer: 331.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 k, and 1 u when three letters picked without replacement from {k: 5, d: 3, h: 10, l: 1, u: 1}.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y - y + 3*y)*(10 - 10*y - 10 + (-y + 2*y + 2*y)*(-3 - 1 + 5) + 2*y + 2*y - 2*y).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/72 and -63\/364960.\nAnswer: 3284640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 6:22 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29749 and 852.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 100520 smaller than 0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-9) - (-178)\/9. Let m = 19 - d. Let y be ((-4)\/m)\/(-4)*-11. Solve -4*o = 4*h + 4, o + 3*h = 6*o - y for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/((-440)\/(-210)))\/(665\/(-380)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + (-23 - -27) - (1 - 0).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.7 + -3.7. Let g = -1.9 - h. What is the closest to 2\/3 in g, 3, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q. Let g(s) = 5433*s**2 - 271 + 553 - 282. What is g(b(a))?\nAnswer: 21732*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ki when two letters picked without replacement from iikkkikkikkkkkkkik?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92, -125, -242, -485, -896?\nAnswer: -1517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 127927.7459 to the nearest ten.\nAnswer: 127930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 148725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of g**9\/70560 + g**8\/70560 + g**5\/12 - 3*g**2. Let o(p) be the third derivative of c(p). Determine j so that o(j) = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.2? (a) -1 (b) 0.2 (c) -5 (d) 0.028 (e) -6\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 2*l - 29 - 19, -h = -5*l + 65. Calculate the least common multiple of 10 and l\/28 + 18\/4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_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: What is the value of 23 + -115 + 83 - (1 + (95 - (1 + 1)))?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 10 = c, 10 = 2*v + v + c. Suppose -12 = 3*y - 3, -v*y = -2*t + 224. Does 6 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 + d**2 + d**2)*(4*d**3 + 0*d**3 - 5*d**3) + (-d + 2*d + d)*(92*d**4 - 110*d**4 + 426*d**4).\nAnswer: 814*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + (-3*sqrt(240))\/sqrt(12))\/sqrt(4) + ((3*sqrt(10)*-4)\/sqrt(2))**2 + 4.\nAnswer: -2*sqrt(5) + 724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t + 9*t = -16 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-15)\/(-60) + 0)*(-48)\/(-300))\/(-1).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 176?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 8*c**2 - 2*c + 24. Let j be o(8). Solve 0 = 3*t + n, -18 = 4*t - 2*n - j for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1115 - 1112. Solve 8 + 8 = r + 5*t, 12 = -i*r + 5*t for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(3 - 6\/3). Suppose t = -w - 19*w + 780. List the prime factors of w.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14300 and 85800?\nAnswer: 85800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 t when three letters picked without replacement from tmmtttm?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*z**2 + 2*z**6 - 4*z**6 + 15*z**2 - 6*z**6 wrt z?\nAnswer: -960*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1079\/117 - (-4)\/(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12305893, -12305921, -12305949, -12305977, -12306005, -12306033?\n\"Answer: -28*n - 12305865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.592 millennia to centuries.\nAnswer: 775.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -1.5 (b) -1\/7 (c) 4\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100102*n = -100078*n. Which is the second biggest value? (a) n (b) -187 (c) -2\/5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.1 - -1.62. Let n = 31.52 - z. Let i = 28 - n. Which is smaller: 2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1110703 is divided by 185094?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from xfxaaffsfsfsffssf?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 8*q**3 + 7*q**2 + 13*q + 26. Let a(g) = 7*g**3 + 6*g**2 + 12*g + 25. Let v(u) = -6*a(u) + 5*t(u). Is v(-5) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20 and 6.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6098453, -6098438, -6098423, -6098408, -6098393?\n\"Answer: 15*t - 6098468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 75524 and 453144?\nAnswer: 453144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -490*f = -626*f - 136 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 56*(0 - 11\/(-2)). Suppose -4*a = 3*m - 329, -4*a + s = -m - 3*m. Suppose -5*k + a + 10 = 0. Calculate the smallest common multiple of k and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 229294 divided by -17638.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2649529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g - 5. Let v be x(7). Suppose -3*i - 35 = v*i - 5*c, c = -2*i - 20. Suppose 0 = -106*j + 99*j + 7. Put -3, i, j in decreasing order.\nAnswer: j, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - c + 219 = 0, 2*p = 4*p + c - 87. What is the greatest common divisor of 4 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 + 125994*o - 125991.\nAnswer: -3*(o - 41997)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3470*v**2. Let x(i) = -2*i**2. Determine x(f(p)).\nAnswer: -24081800*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -123*k + 358. Calculate g(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - 1 - -11) + 0. What is the highest common divisor of q and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -3, 2.02 in ascending order.\nAnswer: -3, 0.1, 2.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -23\/7, 3\/7, 0.76, -89?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 7:10 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 3*r + 2. Let t be s(-2). Suppose -4*l + 2 + 2 = t. Let i = -141 + 703\/5. Is i greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 15*x + 35. Suppose r = -10 + 17. Suppose -5*z + r = -13. What is the units digit of y(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70958 (base 10) in base 11?\nAnswer: -49348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9\/71756 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -25 + 5. Let b be -7*6*(-80)\/28. Suppose b = 4*a + j, -161 = 7*a - 12*a - 4*j. Calculate the remainder when a is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25660, 51307, 76950, 102589, 128224, 153855?\nAnswer: 179482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 6:35 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/4 + 35\/140. Put 5, -1\/6, 2\/5, s in descending order.\nAnswer: 5, s, 2\/5, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238523?\nAnswer: 97, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/21 + 520\/91 - 103120\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*t + 4*a, 3*t - 8 = 4*a + 7. Suppose n + t*k - 14 = -6, 0 = 3*n - k - 40. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 205349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39398 and 4.\nAnswer: 78796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 35 = -9*d. What is the second derivative of 11*b - 24*b + 22*b + 11*b**d wrt b?\nAnswer: 220*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -839.417 - -842. What is b rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 73943 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -16 + -8 + 18 + (10 - -2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, -6, -1, 1\/6, 0.44, 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/(-6) - (-6)\/9. Suppose 0 = 2*h + 4*w, -2*w = -h + w + 10. Suppose 2*n + 6*x - 8 = h*x, -n - 6 = -4*x. Which is smaller: n or o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 10) to base 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 3*y + 4. Let d(a) = -2*a**2 + 6*a + 7. Let z be (7 + 4 + -9)*(-6 + 4). Determine z*d(u) + 7*x(u).\nAnswer: u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 20*s - 79. Let m = -8 + 10. Calculate the remainder when -62*((-3)\/m + 1) is divided by h(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**3 + 6*m**2 + 3*m - 5. Let u be l(-4). Let i be 1888\/22 - 10\/(-55). Let o = i + u. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 6) to base 3.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from btbgbbbtgtxttbbgbg. Give prob of sequence bx.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-2)*(-52)\/(-1820).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1009 + 1014. Solve 6 = s + 2*s, -5*s = -d*q + 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 494 and 25726?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3407 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 43 = 3*x + 45, 2*o = -5*x - 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 0*l = -14. Suppose u - 3*d - l = -d, 3*u - 10 = -5*d. Let r(k) = k**2 - 4*k + 4. What is the remainder when r(u) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 32*w + 66. Is q(20) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2064, 3932, 5800, 7668?\nAnswer: 9536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(272) + (-5 + -1 + sqrt(272))**2)*-2.\nAnswer: -352*sqrt(17) + 2464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 30. Suppose 2*f = x + z, -3*f + 85 = -4*x - 8*f. Let r = x + 26. Calculate the greatest common factor of r and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2589*y + 14753 = -16315 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 726*d**2 + 183*d + 914. Is f(-29) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*v**2*y**2 - 5*v**2*y - 5234*v**2 - 7799*v*y**2 - 6*v*y - y**2 wrt v.\nAnswer: -4*y**2 - 10*y - 10468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k - 2*k + 4*k)*(-78 - 2218 - 2448)*(k**2 - 2*k**3 - k**2) to i*k + s*k**3 + y + r*k**4 + p*k**2 and give r.\nAnswer: 18976","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - -1085505.\nAnswer: 1085505.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1377 - -1?\nAnswer: 0.8623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1251 + 676 = -41*c for c.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15777407\/345 + -45731. Let g = o + 6\/115. Which is the smallest value? (a) 1\/8 (b) -2\/25 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9\/26 - -2\/13. Let y = -716.4 - -716.3. What is the closest to k in y, 4\/9, 4, 1\/11?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 12 = -6*g, -1087*j + 1114*j - 8*g + 16 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2 + 13*s + 6. What are the prime factors of u(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15024924 and 114838.\nAnswer: 1714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1504892?\nAnswer: 2, 439, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1235 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 4*p - 2. Let q be p\/(-8) + (-15)\/(-8). Suppose 0*j - 14 = -q*j. Solve -2*t = -j*t - 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 339 - 329 = 0. Does 2 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of 1405*g**4\/4 - 37*g - 75. Differentiate a(q) with respect to q.\nAnswer: 4215*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -836 and 778.69671.\nAnswer: -57.30329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -6 + 6 - 2*o**2. Let l(r) be the second derivative of r**3\/3 - r. What is l(s(j))?\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 10*a - 9*a - 14*m - 172, 0 = 4*a - 4*m - 32 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1349, 1348, 1347?\nAnswer: 1346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 6*p**2 - 4*p - 1. Let z be q(7). Suppose o - 6*o = -z. Suppose -v + 3*s = -17, 3*v - o*s = -v + 44. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -108*q**3 - 152*q**2 + 3*q + 3. Let w(u) = -110*u**3 - 153*u**2 + 2*u + 2. Let x(a) = 2*i(a) - 3*w(a). Find the third derivative of x(c) wrt c.\nAnswer: 684","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -320*m - 36. Let g be u(-6). Suppose -w = -2*w + 2. Is (w\/(-6))\/((-4)\/g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 478\/(1\/((-20)\/96) + 5). What is h rounded to the nearest one hundred?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/13, -2\/3, -3\/8, 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -9 + 9*u - 11 + u**2 - 2*u. Let b be y(-9). Which is smaller: b or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 11. Let k(z) = 5*z**2 - 12*z + 5. Let h(y) = -9*y**2 + 23*y - 10. Let v(m) = s*k(m) + 4*h(m). What is the tens digit of v(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-7 + 15 + -7). Is a > 2\/91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*k - 18*k = -3*j - 63, 8*j + 148 = -62*k + 59*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -317 - -317. Solve w = -2*n - 2*n - 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4591991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -674*y**3 - 7*y**2 + 10*y - 8. Let w(u) = -675*u**3 - 8*u**2 + 11*u - 9. Let g(x) = -5*f(x) + 4*w(x). Is g(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 + 5*a + 4. Let k be v(5). Suppose -2*y = -h + k, -h + y = 4*y - 59. What is the remainder when h is divided by 60\/(-25)*(-45)\/6?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2657 - x**2 + 2*x + x - 2659.\nAnswer: -(x - 2)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 744294.7l to millilitres.\nAnswer: 744294700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 a, and 1 y when three letters picked without replacement from tttaayyyaat.\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 20410*r**2 + 4*r + 2435*r**2 - 4*r + 17754*r**2 in the form q*r**2 + m + d*r and give q.\nAnswer: 40599","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ayzayiiiyayazddviyy. Give prob of picking 1 d and 1 i.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*a + 10 + 124 = 326 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3210, 12866, 28984, 51582, 80678?\n\"Answer: 3*o**3 + 3213*o**2 - 4*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 637691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v**2 - 6*v**2 + 2*v**2)*(-1 - 2 + 4) - 23*v**2 + 7*v**2 + 8*v**2 as y*v + p + x*v**2 and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -26*m - 335. What is the least common multiple of 88 and v(-15)?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -5*r + 30. Give t(11).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.537 - 0.463. Is t less than or equal to 0.0384?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5*(sqrt(396)*-2 - sqrt(396)).\nAnswer: -90*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101837, 101845, 101859, 101879, 101905?\nAnswer: 101937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 5*x + 3*x + 6, -4*r + 18 = x. Suppose -2*f + 196 = r*g - 3*g, 5*g = 2*f + 476. Calculate the highest common factor of 12 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**6\/540 + 13*o**5\/45 + 35*o**4\/3 + 5800*o**3\/27 + 35*o**2 - 18. Suppose y(u) = 0. Calculate u.\nAnswer: -58, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) -3 (b) 0.3 (c) -5 (d) 2\/7 (e) 3\/32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -243 (base 8) in base 3?\nAnswer: -20001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 10:31 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2789 - 2777. What is the highest common factor of c and 852?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*s**2 - 3*s + 5*s**2 + 2*s)*(-3988813 + 3988813 - 4171*s**2 + 15757*s**2) to the form k*s**4 + x*s**2 + r*s**3 + b*s + f and give r.\nAnswer: -11586","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (6 - 3)) + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -3\/77, 1 in descending order.\nAnswer: 1, 0.5, -3\/77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 842734398 by -600666.\nAnswer: -1403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -8*c**2. Let h(n) = 37758872*n**2. Determine h(i(u)).\nAnswer: 2416567808*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/7 - 72662*u\/7 - 145328\/7.\nAnswer: (u - 72664)*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2367088059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nkakvga. Give prob of picking 1 g and 1 k.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/267 and 67\/6586.\nAnswer: 19758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1802, -3548, -5298, -7052, -8810, -10572, -12338?\nAnswer: -14108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1277 + -111. Is 22 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70835412 to the power of 1\/2, to the nearest integer?\nAnswer: 8416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 22*y**3 + 4*y**2 + 4*y. Let i(x) = -351*x**3 - 63*x**2 - 63*x. Calculate -4*i(b) - 63*l(b).\nAnswer: 18*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(((1 + sqrt(704))*-6 - -4*sqrt(704)*-1) + 5 + sqrt(704) + -1 + sqrt(704) + -1*sqrt(704)*-1))**2.\nAnswer: 5600*sqrt(11) + 862500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9ab611 + -2c?\nAnswer: 9ab5d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 706 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 4 - 6 - (-888 + 903)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-14)\/320*(3\/(-7))\/((-522)\/(-348))?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11403\/4 + 878239\/308. Let p = v - 6\/7. What is the common denominator of p and (-7)\/3*108\/(-8)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -11\nAnswer: -2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -22.2. Which is the closest to x? (a) 0.2 (b) -23 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7988, -15942, -23894, -31844, -39792, -47738, -55682?\nAnswer: -63624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -1\/6*l**3 + 0 - 1\/12*l**4 + 0*l**2 + 2*l. Factor d(z).\nAnswer: -z*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - l = 16, 158*x + l + 10003 = 9343 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -622754, -622801, -622880, -622991, -623134, -623309, -623516?\nAnswer: -623755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 2*k = 16. Let t(r) = 5*r + 67. Let h be t(-23). Let s be k\/h + 85\/6. Solve 10*g = s*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 24 = s, -5*s = m + 21 - 36. Let u = -276 + 279. Solve -u*q + s = -2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 828 - 825. Solve -5*y + 4*y = -c - 6, 2*c + l*y + 7 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 12*d**2 - 103*d + 21. Determine u(-17).\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43 + 300\/7. What is the biggest value in -0.5, y, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 10:16 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 207442354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*a = -6*m + 21, 0 = -3*m + 5*a - 1. Calculate the common denominator of (-5)\/(-12)*166\/15 and 0 + 95\/(-12) - m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -131?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in five quarters of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*x + 23*x + 18*x - 79*x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of 3\/2*o**2 + 63\/4*o**4 + 48 - o + 0*o**3. Find the second derivative of p(m) wrt m.\nAnswer: 378*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + (-646)\/(-85) + 16 - 244\/(-10)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -224 + 119. Let u = -104.6 - o. Let s be ((-4)\/(-5))\/((-12)\/(-10)). Which is the smallest value? (a) s (b) 3\/5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2640151 take away -4?\nAnswer: -2640147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 45, -3, 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*o - g, -38 = -5*o - 6*g + 3*g. Calculate the lowest common multiple of o and 188.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 917 a factor of 16764211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -618521849, -1237043698, -1855565547, -2474087396, -3092609245?\nAnswer: -3711131094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 71 + -71.0000103. Round c to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -61*r + 69*r + 2*n - 3*n - 63, 6 = r - 2*n for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -435875135 or -1\/3?\nAnswer: -435875135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 314*b**2 - 2 + b**3 - 319*b**2 to o*b + r + f*b**3 + v*b**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 77510, 77508, 77506?\n\"Answer: -2*z + 77512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 11*h**2 + 50*h + 222. Does 7 divide d(20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.09 and 19.181.\nAnswer: 19.091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.11 and -0.186.\nAnswer: 0.924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -297*t + 1103*t - 10300 = 394*t for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30343*a**3*o**4 - 16*a**3*o - 6*a**2 + o**2 - 4*o wrt o?\nAnswer: 728232*a**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.06 (b) -4150\/11 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1684667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 98 = -6*x. Let o = x + -62. Let f be 3*-4*(-3)\/o. Solve -3*k - q = 1, -2*k = -q + 10 - f for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.0476 or 13047?\nAnswer: 13047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m - m + m + 8*m.\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 913079796.\nAnswer: 2, 3, 76089983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r**2 - 2. Calculate the least common multiple of f(-2) and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.01 + 0.010017. What is i rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 3*l - 3. Suppose 0*y + 3*y - 3*u + 30 = 0, -4*y - 54 = 3*u. Let d = y - -18. Suppose f = -4*h - 0*h + 8, -3*f = 2*h + d. Calculate n(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -0.5, 28.\nAnswer: -0.5, 14, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11445?\nAnswer: 3, 5, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -2*h**7\/7 - 127*h**6\/3 - 219*h**3 + 749. What is the third derivative of x(w) wrt w?\nAnswer: -240*w**3 - 15240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 5*a - 10. Let w(n) = n**2 - 5*n - 10. Let z be w(7). What is the tens digit of k(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 10*x - 9. Let p be r(-9). Solve 5*j + 0*y = -2*y + 5, p = j - y - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (14\/(-8) - -1)*-4. Suppose -v = -r*v + 28. Suppose -5*j = 25, 2*j + v = -3*p + 4*p. Solve -t + 25 = p*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -435.4?\nAnswer: 174.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 20 - 10 = 0. Solve -r - y*d = 1, 2 = -4*r - 3*d - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6706*y**3 - 3339*y**3 - 3346*y**3 + 1.\nAnswer: 21*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -312, -315, -318, -321?\n\"Answer: -3*q - 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6, 1, 0 in decreasing order.\nAnswer: 1, 0, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 279174 = 1153*o - 1130*o. Is 43 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 8, h: 5, g: 5}. What is prob of sequence ggg?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h + h - 2*h + 3*h in the form s*h + t and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -186782427 != -186782427?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 351\/4, -7, 24, -26, -0.4 in increasing order.\nAnswer: -26, -7, -0.4, 24, 351\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 18*u**2 - 17*u + 31. Give p(19).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 2*o**2 - 5*o - 4577. Let j be i(0). Let u = -320403\/70 - j. Find the common denominator of u and 1\/2*(2 - -1).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-78)\/9*(-92 - -50) is divided by 120?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 - 362*y - 361.\nAnswer: -(y + 1)*(y + 361)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 21*f**2 + 4*f - 5. Let l be i(1). Solve -5*h + 14 = g, h = 5*h + 3*g - l for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k + 4*k - 7*k - 25*k.\nAnswer: -35*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 28*a + 101. Let o be p(23). Let x be 4\/8 - o\/4. Solve -8 = 4*n + x for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 533699?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2 + sqrt(931))**2 + (sqrt(228)\/(sqrt(12)*1*2))**2 + -4.\nAnswer: -28*sqrt(19) + 3763\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in seven eighths of a millisecond?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 20*p**2 - 22*p + 24. Let j be g(21). Suppose -2*x = j*i - 0*x - 136798, 0 = 5*i - 4*x - 228004. Round i to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of 0*o**3 + 1\/30*o**6 + 8*o**2 + 0*o + 2\/15*o**5 + 1\/6*o**4 + 0. Suppose c(y) = 0. What is y?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3266 and -3268 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a**2 + 4*a + 2. Let n be p(-2). Let v = 1 + -10. Let l be n\/(-15)*v\/2. Solve 0 = -4*d + l*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 + 30.4. Let m = 19\/6 - 9\/2. Sort -0.1, m, y, 4 in decreasing order.\nAnswer: 4, y, -0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.01 (b) 0.4 (c) -23633\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 477785701?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -706*o**2 + 15743 - 15743.\nAnswer: -706*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 65173\nAnswer: -65173.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -4*l. Let p(q) = -1265*q - 7 + 1363*q - 3 + 3. Calculate g(p(s)).\nAnswer: -392*s + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*i - 1441272 - 1494515 = -14181. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85 and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-2\/3))\/(i\/i**(2\/21)))\/((i*i**(-4))\/((i**(-1\/3)*i)\/i*i))*((i**1*i)**(2\/29))**(-25) assuming i is positive.\nAnswer: i**(199\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -5*f - 270, 0 = -0*x - 5*x + 3*f + 282. Solve 7*g + 13*g = -x for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 92 + -90. Suppose -4*a - 12 = -t, 4*t - s*a - 9 + 3 = 0. Let c(x) = x**2 + 5*x + 6. Let b be c(-4). Solve t = -3*o + b - 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -1\/3*h**3 - 9\/2*h**2 - 6*h - 1. Let a be p(-8). Solve 6*y - 3*y - 15 = 2*u, -3*y = a*u - 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 9*g**3 - 5*g**2 - 5*g - 3. Let f(p) = 14*p**3 - 8*p**2 - 8*p - 4. Let o(x) = 5*f(x) - 8*h(x). Find the first derivative of o(k) wrt k.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 70 - 67. Solve -h*r - 11 - 1 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 838777 to the power of 1\/2, to the nearest integer?\nAnswer: 916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29151919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 8) + 6 + -3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -181425*r**3 + 1176341*r?\nAnswer: -1088550*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 116 and 26564?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 33*k - 3286. Give f(100).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, y: 1, a: 1, r: 1, z: 2}. Give prob of sequence az.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 > -3526190.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.81 - -0.61. Let h = 0.54 + -0.97. Let c = h + 0.13. What is the nearest to 5 in n, c, -2\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -1103202101010?\nAnswer: -1103202101021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*v - 8*v = -30, 3*v = 2*g - 35. What is the greatest common factor of 260 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c + 5. Let m be v(7). Let z = m - -3. Solve -2*l + z = 2*y - 3, -5*l + 4*y = -19 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9398625 divided by -25.\nAnswer: -375945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -j**7\/840 - j**6\/72 + j**4\/12 - 7*j**3\/6 + j**2 - 15*j. Let i(z) be the first derivative of g(z). Calculate i(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 3\/8*f - 3\/8*f**3 - 3\/8*f**4 + 3\/8*f**2.\nAnswer: -3*f*(f - 1)*(f + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -836 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5514759874 + -3.309\nAnswer: -5514759877.309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.5135428 - 0.03886028?\nAnswer: -4.55240308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 + 608b8cb?\nAnswer: 608b906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52662610 (base 7) to base 11.\nAnswer: 25828a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 5*i = -25, 5*i - 23 + 33 = 3*d. Suppose 5*r + 5*l - 61 = -11, -d*r + 2*l = -85. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4*p**2 + p**2 + 3*p**2 - 5*p**2. Let v(j) = 5*j**2. Let c(k) = -9*k**2. Suppose -d = 3*d + 20. Let n(i) = d*v(i) - 3*c(i). Calculate t(n(b)).\nAnswer: -20*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2944155791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 15*d**2 + 14*d**3 + 23*d**3 - 1 - 13*d**2. Let z(l) = l - 2. Let x be z(3). Is 10 a factor of c(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47 - 55. Suppose 0 = 4*s - 5*o - 35, 4*s + 2*o - 17 = o. Let v = s - c. Is 4 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 633 - 637, f - 1 = -4*p for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -27. What is the second derivative of 7*c**2 - 32*c + 7 + d*c - 7 wrt c?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -17*f**2 + f - 1. Determine k(1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -26*u. Let f(p) = -1587*p. Give -184*b(c) + 3*f(c).\nAnswer: 23*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -133488527*l - 75469134?\nAnswer: -133488527","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3410 - -705575.\nAnswer: 702165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of 575*c**7\/21 - 1709*c**3\/3 - 13*c**2 + 47*c + 2. Find the first derivative of x(j) wrt j.\nAnswer: 23000*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) -2442 (c) 2 (d) 5 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 27, 43, 83, 159, 283?\n\"Answer: 2*m**3 + 2*m + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 719669.\nAnswer: 283, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + (-4 + -1 - 14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 8*r + 2. Let a be p(7). Suppose -g - g + 3*z + 17 = 0, 3*g + 2*z - a = 0. Let u = 19 - g. Solve 4*m = u*q + 16, 10 - 2 = 2*m + q for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f*f*f**(11\/5))))\/f**31)**(-8\/11) assuming f is positive.\nAnswer: f**(1072\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 + -128\/9. Calculate the common denominator of (-5 - -1) + (-335166)\/(-6084) + -53 and s.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.394017 and -5.\nAnswer: -1.970085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(25\/5))\/3*3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, q: 1, a: 1, j: 1, p: 4}. Give prob of picking 1 q and 1 j.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + sqrt(68) + sqrt(68)*4 + -3 + (sqrt(68) + -5)*3)*-2)**2.\nAnswer: -2592*sqrt(17) + 23328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -90 + 6. Let m = l + 84.2. What is the third smallest value in -2\/15, m, -1\/2, 2\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14.64 + 100.36. What is the third smallest value in -2\/13, 2\/3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 s when four letters picked without replacement from glocigicgoiioooosilc?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303323 - 81756 = 13*f - 2163153. Round f to the nearest one thousand.\nAnswer: 183000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12936 to three decimal places.\nAnswer: 0.129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 3:20 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 126 + -116. Let h be (-56)\/p - (-14 - -8). What is the biggest value in 0, 2, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hbgem. What is prob of sequence megb?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0*b = 2*b - 310, 3*b - 618 = -4*o. Suppose w = -o + 670. Is w a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47954800 to the power of 1\/4, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 3*z**2\/2 - 27. Let l(f) = 4*f - 4*f + f. Calculate v(l(o)).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 11*o**3 + 2*o. Let v(n) = -n**3 + 4*n**2 - n + 1. Let j be v(3). Let a(b) = -2*b**3 + j*b**3 - b**3 + b. Calculate -8*a(q) + 3*m(q).\nAnswer: q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t. Let h(l) = 741487949*l. What is f(h(z))?\nAnswer: -741487949*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(7) + 4)**2 - ((5*sqrt(175))**2 - sqrt(7)).\nAnswer: -4306 + 25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*(-10)\/(-630)*9)\/(5\/(-630)*4).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by -63032\nAnswer: -13\/63032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 156577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 652 + -7?\nAnswer: 64b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000285353865 to six decimal places.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.022, -0.4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - -13. Let m be d\/4 - (-12)\/(-16). Suppose -11*l + 8 = -m*l. Solve 0 = -s + 4*k - 3, -l - 5 = -3*s - 4*k for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -4*f**3 - 4*f - 2. Let g(m) = m**4 + 0*m**3 + 1 + 0*m**4 + 3*m + 3*m**3. Let b(w) = 3*a(w) + 4*g(w). Find the first derivative of b(l) wrt l.\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) -2\/11 (c) -0.15381\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1156 <= 11859?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y**3 + 2*y**2 - y. Let j be t(1). Let d = 2 - -1. Let s(m) = 0*m - 3*m - 2*m + d*m + 2. Determine s(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -7. Let m(j) be the second derivative of 5*j**3 + 8*j**2 + 303*j. Does 13 divide m(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -450, -901, -1352, -1803?\nAnswer: -2254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62896432.\nAnswer: 2, 3931027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3897 = 18*x + 35487. Let h be (-6)\/45 + (-10494)\/x + 8. Which is smaller: h or 15?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at most as big as -8\/71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34*y**5 + 1512*y**4 - 157307*y**2?\nAnswer: 2040*y**2 + 36288*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i. Let t(d) be the second derivative of -16*d**3\/3 - 3*d. What is t(v(w))?\nAnswer: -64*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -g**3\/3 - 31*g + 2. Let j(w) be the second derivative of w**3\/3 - 2866*w - 1. Give j(h(i)).\nAnswer: -2*i**2 - 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1786*y - 4444?\nAnswer: 1786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -190662\/13 or -14667?\nAnswer: -190662\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 14 = -49. Let a = 10 + p. Suppose 0 = -4*k + a*k + 94. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*y + 5*f = 948, 2*y - 5*f = 1911. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 9*w**2 + 29*w - 28. Let f be x(11). Calculate the greatest common divisor of f and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 + -1aaa?\nAnswer: -1ab0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 142334 (base 5) in base 3?\nAnswer: 22012002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 938961 a multiple of 153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 + 117. What is m rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1001 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 59618 and 338.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*w = -2*w + 163, 0 = -5*q + w + 267. Let h = 51 - q. Let p(r) = -10*r**2 + r - 2. Let u be p(h). What is u rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-132)\/(-56))\/(-11))\/(6\/16)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*a**2 - 48*a**2 + 29*a**2.\nAnswer: -30*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 9:15 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(-4)\/12*-2. Let z be 3\/2 - 41\/j. Solve -3*m + r = 4*r - 21, 0 = m + 4*r - z for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**1)\/k*k)**(-44)\/((k**(2\/7)*k)\/(k**(1\/3)\/k))*(k**(2\/9)*k)**(-35)*(k**(1\/2))**(1\/39) assuming k is positive.\nAnswer: k**(-217391\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4784 = -6440*u + 6336*u for u.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 5*a**3 - 3*a**2 + a - 9. Let i(n) = -9*n**3 + 6*n**2 - 2*n + 17. Let m(l) = 4*i(l) + 7*r(l). Give m(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y - 21. Let n be u(6). Let i = n + 33. Let a = i + -6. Is a < -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -48*s + 1. What is the remainder when k(-1) is divided by -10*((-928)\/40 + 17 + (4 - 1))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0\/7)\/(-9))\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 17, -2, 6\/11, -0.2, 29 in ascending order.\nAnswer: -2, -0.2, -2\/11, 6\/11, 17, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 2*k**2\/13 - 1174*k\/13 - 26796\/13 = 0.\nAnswer: -22, 609","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/((sqrt(20)*-2)\/sqrt(10)).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 - 184336*w + 32867980.\nAnswer: 4*(w - 45905)*(w - 179)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 594 <= 430?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 10*f + 22. Let v be p(9). Suppose -120 = v*l - 15*l. List the prime factors of l.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40590 + -1501926\/37. Is z at least as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 4 - 16. Suppose l*c = c + 15. Let k = 3 - 0. Solve 5 = -5*y - 2*v, 3*y + k*v - 1 = c for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6183 - -8399. Calculate the remainder when x is divided by 373.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11016 - -11016. What is the biggest value in 4, -1, r, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89603702.\nAnswer: 2, 17, 31, 151, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32191 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i\/(i*i\/i**6)*i*i)**(-2\/101)\/(i*(i\/(i\/(i\/i**0*i*i)*i))\/i*i)**47 assuming i is positive.\nAnswer: i**(-14259\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15837473?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -796, -1621, -2468, -3349, -4276, -5261?\nAnswer: -6316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (732 - 717 - (-1 - (2 - 98))) + -4.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -47, 0.3, 2\/15, -1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -337994.\nAnswer: 5\/337994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -423?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4, 2, 2, 4, 8?\n\"Answer: k**2 - 5*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/39)\/(65800\/(-5667025)).\nAnswer: 53\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-80)\/15*18\/(-8). Let j = 72 - 42. Let z = j - h. What is the highest common divisor of z and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/508 and 23\/180?\nAnswer: 22860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/4 + -22 + 261\/12\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 1 + 3)*(3 + 2 - 4) + 4 - 2 + 1)*(-7 + 0 - 6*j + 3).\nAnswer: -6*j - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/21)\/1 + 176\/84. Let y(a) = 2*a**2 + 188 - a**2 - a**2 - a**v - 72. Let l(u) = -2*u. Calculate l(y(n)).\nAnswer: 2*n**2 - 232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*i**2 - 16*i**2 + 20*i**2)*(3 - 2 + 9).\nAnswer: 390*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 168.5 and -0.23.\nAnswer: 168.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/((-27)\/(-24)) - (-6)\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (d**2 + 21*d**2 - 34*d**2)*(-4 + 3*d**2 + 4) as l*d + h*d**3 + y*d**4 + m + p*d**2 and give y.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1458) + -1*sqrt(288))**2.\nAnswer: 3042","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*u = -38. Let a = u - 188\/5. Which is bigger: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -554*g**3 - 208*g**3 - 28*g**3.\nAnswer: -790*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 23*w + 7*w - 32*w + 5 - 3. Let q(r) = -3*r + 8 - 6*r + 10*r. Let l be q(-5). What is x(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -218, -431, -646, -863, -1082, -1303?\n\"Answer: -r**2 - 210*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 115861734383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 217798 and -3590171.\nAnswer: -3372373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -2. Let l = f - -1. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 952.7754 hours?\nAnswer: 3429991440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*o + 883 = 4159 for o.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146381 is divided by 642.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three fifths of a day?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**3\/7 + 2*g**2\/7 + 20*g\/7 + 24\/7 = 0. What is g?\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z**3 + 23*z**2 - 21*z - 1. Calculate m(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 5*b**2 + 4*b + 6. Suppose -4*g = -69 - 11. What is the smallest common multiple of q(-6) and g?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17950240 divided by 10528?\nAnswer: 1705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 57341 or 57342?\nAnswer: 57342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36.857? (a) 2\/11 (b) -2\/7 (c) -2 (d) -0.9 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 885966662 rounded to the nearest one hundred thousand?\nAnswer: 886000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 4\/3*v**3 - 3*v - 2 + v**2. Is i(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34 - 74 + 23 + 57*n**2 - 55*n**2 to the form j + y*n + m*n**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 6*p**2 - 9*p - 6. Let x be u(-7). Suppose 25*b - 149 + x + 5*b**2 - 172 = 0. What is b?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + v = -2*d - 4, -5*d = -15. Let f be (1 + -4)\/(-3 + v). Let o = 2 + 0. Solve f - o = j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18984*k*q**2 + 15*k*q - 2*q**2 - 145*q - 4 wrt q?\nAnswer: -37968*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4 = z - 3*p, 5*p = -2*z + 27. Suppose -55 = -2*b - 3*b. Suppose -s + b = 2. Calculate the greatest common factor of z and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 19*c**2 + 21*c - 434. Give o(19).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39072 divided by 66.\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h - 3. Let r be 75\/18 - 2\/12. Let w(x) = -3 + 5*x - x**3 + 13 - r*x**2 + 10*x**2. Let u be w(7). Calculate s(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4*m - 123 = 0, -5 = -2*m + 1. Let f be (-2)\/11 - h\/66. Suppose 3*y = -x, -3*y - 4*x + 0*x = 9. Does f = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/104321 and -99\/406?\nAnswer: 6050618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003046 rounded to five decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-231)*-14*6\/(-100)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -47 and -4089.5.\nAnswer: 192206.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 492096469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 94859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 381 divide 14830044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 237 + -217. Suppose 53*p + 234 = 55*p. What is the remainder when p is divided by j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 362\/33 + -1457\/198. Calculate the common denominator of n and 69\/32.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2*p - 79450, -3*p - 4 = -p. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/63 and -5\/231.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 h when three letters picked without replacement from ahxaaxah.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -5*(-14)\/(-35) + 579.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -3*h + 4, -2*h + 185 = -3*f + 187 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(49)\/(sqrt(28)\/sqrt(4)*-6))**2*-2.\nAnswer: -56\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4025 is divided by 170?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 91 + -81 - -2*7 - 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 575*m + 18791 = 1541 for m.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**4 + 8049*v**3 + 24174*v**2 + 12*v - 32232 = 0. What is v?\nAnswer: -2, 1, 2686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**4 - 157*x**3 - 3433*x**2 + 15733*x - 12144 = 0.\nAnswer: -23, 1, 3, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008)*-1)**2 + sqrt(7) - (sqrt(63) + -3).\nAnswer: -2*sqrt(7) + 1011","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*b - 247 + 247)*(-2*b - 2*b + 5*b) as f*b + j*b**2 + h and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 510 = s - 523, 4*s = -2*q + 40 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 76*w**2 - 6504*w - 6580 = 0?\nAnswer: -1, 1645\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*y + 170 = -8*y + 68*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111.2803l to millilitres.\nAnswer: 111280.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 859 - 796 = 5*j, -j = 12*f - 35 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 3358?\nAnswer: -5\/1679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -7550 (base 9) to base 6\nAnswer: -41413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 3. Let z(f) = 3*f**2 + 7*f + 18. Let l(j) = 4*d(j) + z(j). Let t(o) = o**2 - 7*o - 5. Let g(i) = 3*l(i) + 2*t(i). Solve g(y) = 0.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.5, -0.1, -2\/7 in descending order.\nAnswer: -0.1, -2\/7, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -28*l - 309. Let r(x) = -11*x - 103. Calculate -3*p(q) + 8*r(q).\nAnswer: -4*q + 103","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7690.304l in millilitres?\nAnswer: 7690304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-34.2886.\nAnswer: -17.1443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-6)\/27 - 838\/198 and -19*(-3 + (-69)\/(-18)).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 6:04 PM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 1 = -k, -i + 0*i = 4*k - 2. Let r(w) = 4*w - 7. Let n(o) = 0*o + 2 + 0 - o. Give i*r(q) - 7*n(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -54 + 27. Let i be ((-3)\/x)\/((-5)\/15)*0. What is the units digit of (i - (-5)\/(-3))*-57*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63940 * -0.5\nAnswer: 31970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 73 and -8996.5?\nAnswer: 9069.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 1:04 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 149012 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 12:48 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 17900, -4, 55, 1.\nAnswer: -4, 1, 16, 55, 17900","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.21 - 2.11. Let r = -3.1 + f. Let w be (3 - 2)\/(35\/(-21)). What is the nearest to 0 in r, 5\/6, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2080)\/20 - ((0 - 0) + 4). Let n = -93 - f. Suppose l + 105 = -4*p + 570, 0 = -5*l - n. List the prime factors of p.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3630 - n - 1809 - 1821 + 4*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 22*w. Suppose w*q = -11*q - 33. Sort 3\/7, -5, q, -2 in descending order.\nAnswer: 3\/7, -2, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.069 - 9174289146.\nAnswer: -9174289145.931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 11:05 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 18 = h, -2029*o + 3*h = -2028*o + 1 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 467.937094 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 4. Let z(i) = 3*i - 3. Let f be z(m). Let o(k) = 15*k + 4. Is o(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(242) + (sqrt(242) + 0)**2*-2).\nAnswer: -484 + 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 24 = -20 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1799, 2\/15, -13\/4, 0.3, -2\/11, 67?\nAnswer: -1799","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -5. Let p = 16 + -17.1. Let i = 1.1 + p. Put w, 0.3, i in descending order.\nAnswer: 0.3, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000047639 rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 317 - 954 - 352*x + 315 + 321 to v + i*x and give i.\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is dba - -9ea?\nAnswer: 18b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.401863 nanometers in centimeters?\nAnswer: 0.0000008401863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.00191 to 2 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 + 5*d + 3. Let b be m(-2). Let y(k) = -k + 4. Let p be y(b). Solve p*l - 2*l - 3 = -4*o, -2*o = 2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12447 - 7565. What are the prime factors of h?\nAnswer: 2, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30147129, -30147130, -30147131, -30147132, -30147133, -30147134?\nAnswer: -30147135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 20. Calculate the remainder when ((-15)\/2)\/(-5)*28\/x is divided by (-230)\/(-26) + (-6)\/(-39).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8\/79 (b) 1\/570 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*v + 4282 - 4447. Suppose 1 = l + 5*k, 2*l + l = -3*k + 15. Let i = -5 + l. Calculate the greatest common factor of i and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -725815 + -386234305\nAnswer: -386960120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 6.85. Let i = y + -23.15. Let m = 23 + i. What is the nearest to m in 1, 0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 114\/(-15) + 2\/(-5). Let u(c) = -c**2 - 9*c - 3. Let t be u(s). Let i be (-6)\/15 - (-12)\/t. Solve 5*f + z = 7, -z - i = 2*f - 3*z for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1083888\/286 + 4\/22 - (-10 - -19). Calculate the greatest common divisor of 133 and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a century in months?\nAnswer: 3400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 21*q - 478. Calculate the remainder when 100 - (2*-1)\/2 is divided by g(24).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2. Let j(f) = -1515651*f. Determine j(a(u)).\nAnswer: -1515651*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(272) + (sqrt(272) - 2*sqrt(272)) - sqrt(272) - sqrt(272))\/sqrt(8))\/((sqrt(32) - 1*sqrt(32)) + (sqrt(192) + sqrt(12))\/sqrt(6)).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -28, -80, -178, -334, -560, -868?\n\"Answer: -2*u**3 - 11*u**2 - 5*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 936*z**2. Let v be -126 + -8 + 81\/(-9). Let j(s) = -39*s**2. Determine v*j(y) - 6*q(y).\nAnswer: -39*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 12:34 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232*f - 229*f = 3*p - 15, p + f = -11 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11.765 + -17.765. What is the closest to 2 in g, -0.024, -3?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18091523 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 508 - 504. Suppose 0 = -5*u - 5*k - 30, 7*u - l*k - 15 = 8*u. Suppose j + 0 + 4 = 0. Sort j, u, 2 in descending order.\nAnswer: 2, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 336156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17063 equal to 5878?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9360120 divided by -660?\nAnswer: -14182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + 90. Suppose 62*r = a*r - 32. Suppose 5*u - 31 - 24 = 0. Solve -r*i = 1 + u for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -6 - 2 - 43*k**2 + 10*k + 42*k**2 - 3. Let r be m(7). Solve 2*d - d - 3*y - r = 0, 4*d - 5*y - 12 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, -7, 1, 4 in decreasing order.\nAnswer: 4, 1, -0.07, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 4*f**2 - 13*f + 15. Let h be r(6). Let g(p) = -p**2 + 26*p - 142. What is the lowest common multiple of 9 and g(h)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from ssssnhsssnbsssssbbsx?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.42 (b) -3 (c) -2\/11 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*x**3 + 16*x**3 + 11 - 13 - 38*x**3.\nAnswer: 10*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4524, -4363, -4228, -4131, -4084, -4099, -4188?\n\"Answer: -2*i**3 - i**2 + 178*i - 4699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -110110111010111101101?\nAnswer: 110110111010111110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5405646 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -11591204\/7 smaller than -1655887?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 + 369105408*l - 8514925138427904.\nAnswer: -4*(l - 46138176)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*r + 5*r + 3*r)*(21168*r**3 + 0 - 12530*r**3 + 0) in the form m + n*r**3 + y*r**4 + a*r**2 + d*r and give y.\nAnswer: 34552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 2*d - 4. List the prime factors of j(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + 76\/(-28) - (-1003)\/(-7). Let o = i - -328. Let x = -57 + o. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.878 - -0.078. Round c to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*1*sqrt(468) + sqrt(468))**2 - (1 + 0 + sqrt(468))) + (-6*(sqrt(468) + -2))**2*-3.\nAnswer: -50977 + 2586*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -9 + 6 - (0 - 1). Let k = p + 5. Suppose 2*t + k*t - 25 = 0. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 231, 464, 695, 924, 1151?\n\"Answer: -k**2 + 236*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -77*w**2*z + 646*w**2 - 3*w*z wrt z?\nAnswer: -77*w**2 - 3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57 - -57.514. Round w to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/10 and -3*(125\/(-60) + 2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/2)\/((-9)\/6552). Find the common denominator of (-39)\/(-20) + (-3 - -1) and 1*4 + h\/48.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5038*w**2 + 5038*w**2 - w**3 - w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/27 (b) 0.29 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -16, -10, -6, -4, -4?\n\"Answer: -w**2 + 9*w - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/88*(-198)\/(-270)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 3)*(3 + 2 - 6)*(-13*v + 4 - 4)*(-7*v**2 + 8*v**2 - 1 - 7*v**2).\nAnswer: 156*v**3 + 26*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-10))\/(96\/480). Solve -2*q - 2*v - 4 = -6*q, t*v = 5*q - 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 8:32 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 121*v - 895 = 126*v, -899 = -w + v. List the prime factors of w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6323213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 12636, 11747, 10266, 8193, 5528?\n\"Answer: -296*m**2 - m + 12933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*m + 162*m - 645 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 655910 divided by 655910\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-10)\/6 + (-2666)\/(-1677))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/(-10)*(-24)\/(-27). Which is the second biggest value? (a) 3\/4 (b) 1\/16 (c) k (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 5. What is the greatest common divisor of 66 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (170\/(-765))\/(32\/6). What is the third smallest value in 1\/9, y, -1\/2, 1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 - 2*h**2 - 3*h**2)*(-251 + 107 + 117).\nAnswer: 54*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (67\/134)\/((-5)\/(-4) - 0). Suppose -3*d - k + 2 = 0, d = 5*k - 7 - 19. Let m be (d + 3)*2\/(-16). What is the nearest to w in 1\/4, -0.5, m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24711 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16.7 - 16. Let h = -0.2 + f. Let x = 0.0281 - -0.3719. Which is the nearest to 0? (a) h (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-4) - (882\/(-56))\/(-21).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1278 rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*t - 69*t - 6707289644 + 6707289643.\nAnswer: -177*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 546300 and 50.\nAnswer: 546300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 2:21 PM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9702 + 14798. What are the prime factors of k?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 2*r + 430724. Let m(c) = -2*c**2. Calculate h(m(a)).\nAnswer: 4*a**4 - 4*a**2 + 430724","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((96\/44)\/4)\/(13414\/418 + -32)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 7.07, 0.28, 0.2, 2\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377 is divided by 110.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 12*i**2 - 10*i - 28. What is the tens digit of u(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15752.59 * -80\nAnswer: 1260207.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 129 times -409\nAnswer: -52761","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 69.552 and -4.\nAnswer: -278.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.61 and -2.\nAnswer: 5.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26024761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 4 (c) -0.4 (d) -9.559\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02698 in 0.4, -5, -4, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 10*h**2. Let a(d) = d - 1. Suppose f + 5 - 4 = 0. Let s(c) = -3*c**2 - 4*c + 4. Let m(q) = f*s(q) - 4*a(q). Determine i(m(t)).\nAnswer: 90*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/1040 and 3\/125528.\nAnswer: 1255280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 125\/1064 - -1\/133. What is the nearest to 2\/3 in r, -7, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000303237408 to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.4 + -4. Let w = -13 - -9. Which is the third biggest value? (a) w (b) -0.1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 722 + -726 + 4 + 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 - -5.8. Let q = 106 - 106. What is the smallest value in j, 1\/2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -747*a**3 + 743*a wrt a.\nAnswer: -4482*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 4*i + 7*i. Suppose q + 49 - 58 = i. Let t(h) = -11*h - 13. Let n(x) = -5*x - 6. What is q*n(b) - 4*t(b)?\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -0.96. Let h = u - -0.04. Put 5, h, -5 in decreasing order.\nAnswer: 5, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 1:48 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -126352 divided by -596?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*l**3 + 7*l**3 + 10*l**3 + 3*l**3 + 11*l**3.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -285706 divided by -2.\nAnswer: 142853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3155 + 3160. Solve q - 5*q = -h*z - 4, z + 5*q = -24 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 0.0575.\nAnswer: -0.1725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -29664 <= -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 40*t**2 - 193*t + 998. Give w(35).\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*c**4 - 8*c**4 + c**4 + (-4*c**3 - c**3 + 2*c**3)*(c + c + c) + (-c + c - 2*c)*(-2*c - 4*c**2 + 4*c**2 - 2*c**3).\nAnswer: -7*c**4 + 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -321\/154 + 6\/7. Let i = 484 - 2813\/6. Find the common denominator of i and q.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**5\/60 + b**4\/24 + b**2 + 33*b. Let s(z) = 4*z**2. What is s(m(y))?\nAnswer: 4*y**4 + 8*y**3 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 22695?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of u**4\/8 - 2*u**2. Let y be s(1). Let w(i) = -i**2 + 5*i + 3. Let j be w(5). Does j = y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 39*a**2 + 174*a - 504 = 0. What is a?\nAnswer: -84\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 116 + 68 = -5*i, 192 = 39*h + i + 1795 for h.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 6*n. Let o(j) be the first derivative of -2*j**2 + 6. What is o(h(y))?\nAnswer: -24*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -11, 329 in decreasing order.\nAnswer: 329, 10, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55.882 + 0.118. Let z = 55 - i. Which is bigger: 64 or z?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_composed_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: Let v = 21029 + -10258. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/4 - 6974\/(-4). Let f be (1\/129)\/(1*(-3)\/o). Let u = 27\/430 - f. What is the common denominator of -40\/27 and u?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -0.4, 1, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1633*k + 735*k + 744*k)*(-2*k + k - k)*(4 + 1 - 3) in the form r*k + c + j*k**2 and give j.\nAnswer: 616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 34465, 137871, 310217, 551503, 861729?\n\"Answer: 34470*f**2 - 4*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -276, 3, 1\/2, 15 in decreasing order.\nAnswer: 15, 3, 1\/2, -276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1*(sqrt(1331)*-2)**2.\nAnswer: -5321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kdqqqdqdkkkkdkqqdkkq. Give prob of sequence dqk.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/((-4)\/(-3)) + 10. Suppose 8*j = f*j + 13. Is 13 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-72)\/(-84)*7*1. Suppose o = 5*r + 39 + z, 5*r + 45 = -3*o. Let i be (-176250)\/4*(288\/10)\/r. Round i to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 53257.2 decades?\nAnswer: 532572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/4)\/5*(-1 + 1). Let u(y) = y**2 + y. Let d be u(j). Solve 1 - 11 = -5*n + 5*t, d = 3*n + 4*t + 15 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*y + 29 = -6, -5*y = -25. Let k = 0 - -4. Put k, l, 3 in ascending order.\nAnswer: l, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 253868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 455167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2440 and 13834440.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 8 = 3*z. Let o(j) = 86*j**3 + 2*j**2 - j - 1. Let v be o(z). Let w = v + 88. Solve -w*x + 2*g = 6, -15 = 2*x + 4*g - g for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 32 = -f, 2*d - 86 = -81*f + 78*f. Calculate the remainder when 293 is divided by f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - p + 4. Let m be h(5). Suppose -11*q + 10*q = 18. Let i = q - m. Does 3 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a + 7. Let s be i(6). Let w(y) = -6*y - 8*y + s*y. Let u(x) = 3*x. Determine w(u(n)).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210333558.\nAnswer: 2, 3, 281, 124753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j - 11. Let g be m(-7). Suppose -2*r = 5*b - 42, -3*b + 86 = 8*r - g*r. Differentiate -12*p**3 - 10*p**3 + r*p**3 + 10 with respect to p.\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -277 - -280. Suppose u*h - 34 = 4*z, 2*h - 4 = -2*z - 0*z. Solve -3*v - h = 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 16 = -4*o, 2*o + 12 = 14*c - 11*c for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -73 or 1.135692?\nAnswer: 1.135692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 554721577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -357 - -357.37. Which is the nearest to -1\/3? (a) j (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17\/51*(-3)\/2)\/((2275\/(-52))\/(-35))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -8 - 11) + 10 - 10 - -18?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**2 - 40*p - p**2 + 40*p.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2603 is divided by 163?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -6*q**3 + 5*q**2 + q. Let d = -8 - -11. Let i be 2 - ((d - -1) + 0). List the prime factors of s(i).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1407*c = 1383*c - 48 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 - -29. Let m(s) = -6*s - 14. Let w be m(y). Let f = 3 - w. Let n(q) = -q + 1. Let i(c) = 2*c - 5. What is f*n(t) + i(t)?\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 9 + 0 + (0 - 3 + 2)*(-2 + 1 - 1))*(2 - 4 + 0)*((2 + 3 - 4)*(-4 + y + 4) - 1 + 1 - y + (-2*y + 7*y + 2*y)*(1 + 0 - 3)) to r*y + l and give r.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*c**3 + 90*c - 1848 wrt c.\nAnswer: -9*c**2 + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 6550 and 6548 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32491191?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -47*n - 6. Let k(s) be the first derivative of -47*s**2\/2 - 9*s - 317. Let r(d) = -3*g(d) + 2*k(d). Let b(l) = 3*l**2. What is b(r(t))?\nAnswer: 6627*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -39939 (base 12) to base 15\nAnswer: -18686","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001185 to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 293 - 202. Let o(u) = -11*u - 53. Let t be o(-6). Calculate the highest common divisor of i and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -7*w - 28*w - 34 + 11*w - 14*w. Is 8 a factor of a(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1639?\nAnswer: 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w. Let h = -8 - -10. Suppose -2*b = -2*p - 22, -p + 1 + 6 = 2*b. Let l(f) = -b + 7*f**h + 6. Determine l(r(d)).\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -1112?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -105, 11, -13, 0, -63 in decreasing order.\nAnswer: 11, 3, 0, -13, -63, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-48))\/((-2)\/4)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 22 = 3*k + 23, s - 4*k = 25. Calculate the remainder when 102 is divided by s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 34*b**2 - 14*b - 2. What are the prime factors of g(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -6. Let h be (-11 - -9) + (2 + -2 - -4). Suppose t = h*o - 3*l, -3*l + 3 = -6*l. Solve 5*z + 14 = -3*j, -o*j + j - z = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163879279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010110001 - 1111101011011111?\nAnswer: -10000000110010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -l - 8. Let s(n) = 7*n**2 - l*n**2 - 2 + 3*n + 3*n. Give s(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9320263197?\nAnswer: 3, 7, 9057593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-8)*-1 - (-3)\/(-4). Let u be i - -2*(-2)\/(-4)*5. Solve -4*d - 4 = 2*g, 5*g - u*d + d = 16 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**4 - 17454*m**3 + 24129645*m**2 - 8726943764*m + 17357508564 = 0. What is m?\nAnswer: 2, 737, 15978","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 37*p - 8. What is n(1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + m**2 + 3*m + 1. Let q(r) = 3*r**3 + 4*r**2 + 36*r - 13. Let s(z) = -4*b(z) + q(z). Calculate the remainder when s(-8) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1066 - 1062. Let h(r) = 6*r - 4. Let a(y) = -y + 1. Give b*a(t) + h(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 15, 43019 in increasing order.\nAnswer: -2, 15, 43019","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1571491 to the nearest integer?\nAnswer: 1254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r - 20. Suppose -4*l - 46 = -6*n + n, -5*l = 4*n + 37. Let u be g(l). Let k = -3 - u. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -231 + 251. What is the lowest common multiple of 10 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 72 = -3*t + 4*h, 3*t - 5*h = 237. Suppose -t = 2*b - 650. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 407 or 2\/1373?\nAnswer: 407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhqqhhqpqqphhhhp. What is prob of picking 2 p?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*(2\/(-4))\/1. Let w = r - -1. Suppose 0 = 5*t - 2*a + 5*a + 13, -2*a = -8. Put t, 1, w in descending order.\nAnswer: w, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*k - 3*u, 3*u = -0*k - 4*k + 17. Let b be (k\/2)\/((-5)\/(-10)). Suppose 0 = -4*l - 3*h - h, l - b*h = -12. What is the biggest value in l, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 26 - 22 - 1*49. Let j = 2 - u. Let i = j + -44. Sort -4, i, -3, 2 in increasing order.\nAnswer: -4, -3, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7277 is divided by 2321.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(((-192)\/18)\/(-4))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 304773401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6731 + 3370. Let x = 5640 + t. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -592 divided by -1?\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 11.1, 0.05, -0.4 in decreasing order.\nAnswer: 11.1, 0.05, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -80251517.06 rounded to the nearest one thousand?\nAnswer: -80252000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 16*c + 35. Let g be f(18). Let y = g + -645. Solve y = j + 3, -2*j = -t + 7 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiiiiii. What is prob of picking 4 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.143 - 283728438689\nAnswer: -283728438689.143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 15880, 31293, 46706, 62119, 77532, 92945?\n\"Answer: 15413*c + 467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**2 - 10*o - 3. Let b(z) = 1. Determine -3*b(v) - k(v).\nAnswer: -3*v**2 + 10*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 19 = 3. Calculate the highest common divisor of i and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 13 = 3*k, 7*k = 2*p + 3*k for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*f = -33*f - 2487. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 154 + -255. Let w = r - -103. Solve 3*o = 2*z + 6, z + 1 = -2*o - w for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135115055 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/(168\/18)*-4. Differentiate 0*r - k*r - 253 + 377 wrt r.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 16, 21, -1, 14 in descending order.\nAnswer: 21, 16, 14, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144608.\nAnswer: 2, 4519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 603*h**3 - 157*h**2 - 105*h**2 - 605*h**3 to the form c + u*h**2 + a*h**3 + b*h and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(621\/92))\/((-2)\/(-15))?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2836599, -5673165, -8509727, -11346285, -14182839, -17019389, -19855935?\nAnswer: -22692477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101110 (base 2) to base 15.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 149050019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 181556727?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 204 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 2*s - 16, 2*v + 0 - 8 = 3*s. Suppose -5*r + 14 - v = 0. Solve -6*g = -3*g - h + 15, 2*h = -r*g - 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -289*k**2 - 86 + 617*k**2 - 331*k**2.\nAnswer: -3*k**2 - 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 7. Suppose 4*n = -v*d + 5004, 0*d - d + 1269 = -5*n. Let f be 2\/12 + 55\/d. Which is bigger: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.02, -18\/5, -24.6, -4, -5, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900)*2*5)**2 + 1.\nAnswer: 190001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 2:17 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74, 1, 112813 in increasing order.\nAnswer: 1, 74, 112813","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22595776?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1696285146 by -6.\nAnswer: -282714191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 6*f**2 - f - 1. Let t(o) = 5*o + 11. Let s(r) = 3*r + 7. Let g(v) = -8*s(v) + 5*t(v). Let k be g(0). What is the units digit of b(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -171*l + 1807. Does 122 divide q(-75)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 473581842673 and -72.\nAnswer: 473581842601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 511, 512, 513, 514?\nAnswer: 515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fgffffgffggffgggfgg. What is prob of sequence fgg?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.1 greater than -34192216?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1270 + -1260. What is the lowest common multiple of 232 and s?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 3:04 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1973739744 to the power of 1\/2, to the nearest integer?\nAnswer: 44427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 183 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 943, 937, 913, 859, 763, 613, 397?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 245489807 by -245489807.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of r**4\/4 + r**3\/3 + r**2 + 30*r + 2. Let q be (-1)\/(-1)*(0 + 0). Is 10 a factor of x(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 6*u**2 - 3*u - 13. Let f be n(-6). Suppose 0*s + f*s = 70. Let i be 2\/(-4) + (-3283)\/s. What is i rounded to the nearest 10?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**5 - 40*h**4 + 156*h**3 - 296*h**2 + 272*h - 96.\nAnswer: 4*(h - 3)*(h - 2)**3*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 15*t**2 + 11*t - 52. What is the remainder when l(-10) is divided by 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -588*0.1\nAnswer: -58.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 343333009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f**2 - 3. Suppose 3*v - 2*w = -1 + 17, -v - 18 = 4*w. Let j(z) = 0*z - z - v*z**2 - 9*z + 10*z. What is j(m(l))?\nAnswer: -18*l**4 + 36*l**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + x + 4 - 1, 6 = 3*r - 3*x. Suppose -29 = 5*w + r. Let a = -3 - w. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 308 = 5*t - 286, -5*t = -3*w + 14. Let g be ((-27)\/(-6))\/(1\/4). Let n be 5\/w - (-1629)\/g. What is the highest common divisor of n and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/16)\/(1\/4). Suppose -2*n + 32 = 5*d - n, 5*n + 1 = -k*d. Solve -d*p + 2*p = -25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/5*-5*(-13)\/(-130).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6837985 litres in millilitres?\nAnswer: 683.7985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 6*h - 44. Let t(g) = 5*g**2 + 4*g + 4. Let y(s) = 14*s**2 + 12*s + 11. Calculate h*t(j) - 4*y(j).\nAnswer: -j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -468.829952143 + 468.83. Round t to six decimal places.\nAnswer: 0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23310211 (base 4) to base 12.\nAnswer: -24031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5289626 is divided by 1718.\nAnswer: 1622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1431 times 3799?\nAnswer: 5436369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17879?\nAnswer: 19, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 11:56 AM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g - 3*g - 2216*g**3 + 2189*g**3.\nAnswer: -27*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-2)*-2 + 3. Suppose 0 = -2*m - 100 - 104. Let z = -100 - m. Solve f*s - 6 = z*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b**3 - 4*b**2 - b - 4. Let k(j) = -3*j**3 + 5*j**2 + j + 5. Let m(q) = -4*k(q) - 5*v(q). Give m(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 greater than or equal to 0.23483?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 82, -18, 0.1, -2\/11?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (28\/392)\/(2\/(-12))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 164 - 123. Calculate the remainder when x is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-455)\/39 - -23) + -4*2?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -101*i + 11 + 9 - 20 to d + a*i and give a.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**7\/c**(1\/14))**9 assuming c is positive.\nAnswer: c**(873\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17328908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - m + 29 = -3*l, -307 = -14*m + 13*m - 302 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 188, 412, 686, 1022, 1432?\nAnswer: 1928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (17 - 6) - 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6796184 to the nearest integer?\nAnswer: 2607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**1)**(-2\/15)*c**2\/c*c**(-2\/5))\/(((c*c\/c**(-2\/9)*c)\/c)\/(c**6\/c)*c**5*c**(3\/4)*c) assuming c is positive.\nAnswer: c**(-631\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-1134)\/(-23814))\/((-2)\/132 + 0)\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 319795 - -1479?\nAnswer: 321274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*n - 2*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 353*h = 354*h - 130. What is the greatest common divisor of h and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -61*y - 17. Let c be w(7). Let f be (c\/10)\/((-4)\/(-20)). Does 24 divide (32\/(-12))\/(4\/f) + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39 - 40) + 8 + -15 + 1 + 34 + 1.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32538 - 45698. Is (-332)\/2822 - (-3)\/((-51)\/y) a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*o**3 - 21*o**3 - 553*o**2 + 553*o**2.\nAnswer: -85*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 28\/5 + 12\/(-20). What is the least common multiple of 10 and (c + -3 - 2) + 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 19687 = -69409. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 25\/15*4\/(-10). Let u = -5.2 - -8.2. Let s(l) = -18*l + 282. Let j be s(16). Which is the nearest to n? (a) j (b) 0 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*u - 202737, -16*u + 14*u - 5*h = -135169. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1015 is divided by 145.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 575, -5, -15, -6 in descending order.\nAnswer: 575, 0, -5, -6, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 517 - 509. Suppose -644 = -t*a - 100. Calculate the remainder when a is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/(-270) + ((-98)\/12 - -1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -243, -736, -1545, -2676, -4135, -5928?\nAnswer: -8061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41746, 168648, 380158, 676282, 1057026, 1522396, 2072398, 2707038?\nAnswer: 3426322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 11297.\nAnswer: 1\/11297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -528*m + 530*m = 34 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jg when two letters picked without replacement from {j: 5, g: 3, i: 1, q: 6, x: 3}.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x - 6. Let u(y) be the third derivative of -y**3\/2 - 4*y**2. Let z(h) = 2*j(h) - 5*u(h). What is z(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*n - 264 = 7*n. Let u be (-1785)\/(-150) - n - 3202\/(-20). Which is bigger: u or 161?\nAnswer: 161","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + sqrt(17) + sqrt(68)\/(sqrt(4) + sqrt(16)\/sqrt(4)) + sqrt(17) - -1*sqrt(17)*5)**2.\nAnswer: 4913\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20238 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -230d3 - -32?\nAnswer: -230a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 770, 3512, 8088, 14498, 22742, 32820, 44732?\n\"Answer: 917*q**2 - 9*q - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -7*s**3 + 183*s**2 - 18*s - 157. Calculate u(26).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 7*i**3 + i**2 - i - 6. Let c(l) = 6*l**3 + l**2 - 5. Let t(j) = 4*c(j) - 3*u(j). Let m be t(2). What is the highest common divisor of m and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.47 + 0.07. What is the second smallest value in x, -2\/3, -0.7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 7766.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -9*n**2. Let x(j) = 4*j + 5. Let k(y) = 1. Let v(z) = -5*k(z) + x(z). What is v(d(i))?\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(300))\/sqrt(10) - sqrt(300)\/(sqrt(20)\/sqrt(2)))\/(1*sqrt(726) - (sqrt(384)*-2 - sqrt(384) - sqrt(6))).\nAnswer: -sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2112159.861 rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (486\/4)\/(414\/1656). Calculate the highest common factor of 1728 and o.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/5805881 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 189863*-1678\nAnswer: -318590114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.74905? (a) 2 (b) -3 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1150.4 to the nearest 10.\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3585*a = -3589*a + 4 - 136 for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2619532 (base 12) to base 16\nAnswer: -7278b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 4*a**2 - 12*a + 6. Give o(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 12, -2*u - 3*n + 577 = 2176. Which is bigger: -798 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 227537*t*u - 56418*t wrt u.\nAnswer: 227537*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27167555 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 7*l + 11. Let b be v(7). Let f be 22*-1*2\/(-4). What is the second derivative of -8*s**5 - f*s**4 - b*s**4 - 3*s + 22*s**4 wrt s?\nAnswer: -160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 2*w**3 + 0*w)*(-62*w**2 + 433*w**2 + 34*w**2).\nAnswer: -810*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 18*y - 29. What is the remainder when 44 is divided by a(20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2*14)\/4 - -4. Is w + 2 - -4 - 1 - -53 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w. Let y(b) = 16*b + 23. Let o(c) = 32*c + 47. Let l(v) = 6*o(v) - 13*y(v). Give l(u(j)).\nAnswer: -16*j - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 less than -62\/11411?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*g**4 - g - 28 + 31 + 8*g**3 - 4*g**4 to the form h*g**3 + o*g + s*g**2 + r*g**4 + n and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 5*f + 8, 0*f + 2*f + 3*w + 6 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e - fdb87?\nAnswer: -fdb95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 88*k + 4705. Determine t(-54).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(1008) + 2*sqrt(1008)) + (1*sqrt(1008)*-5)**2 - (2 + 1*sqrt(1008) + (sqrt(1008) - (sqrt(1008)*-1 + 4))).\nAnswer: -144*sqrt(7) + 25202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = c + 27, 0 = -5*c + 3*f - 6*f - 47. Let q = c + 11. Let b(d) = 3*d - 3. What is the remainder when b(4) is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -3*l**4\/2 - l**2\/2 - 9*l - 58. Let m(c) be the first derivative of p(c). Determine m(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -g**5\/30 + g**4\/24 + g**3\/18 - g**2\/12 + 2. Determine i so that q(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**2 - 22. Let m(t) = 2*t**2. What is i(m(q))?\nAnswer: -8*q**4 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*f - 15 - 80 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 28\/(9 - 2) + 2. Let z(y) = y - 6. What is z(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9667, -3, -59 in descending order.\nAnswer: 9667, -3, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 971 - -34. Suppose -1338 = -a + h. Suppose 3*z + a = 6*z + 4*x, z = x + 788. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 21 = -3*i. Put -3, -5, i, -1 in descending order.\nAnswer: i, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2. Let x(p) = -476*p**2 + 8*p + 7*p - 21*p + 6*p. Determine x(c(w)).\nAnswer: -476*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of z**4\/4 + z**3\/3 - 3*z**2\/2 + 9*z. Calculate the remainder when b(-2) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31506*m**4 - m**2 - 8001*m wrt m.\nAnswer: -756144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -166? (a) -2\/11 (b) 1\/15 (c) 0.5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111222002 + -1122221210?\nAnswer: -2011220212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50 - 60.9. Let h = -294 - -305. Let q = h + f. What is the closest to q in -2, -3, 5\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1980.7 times 0.1\nAnswer: -198.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 4)*(2*j**2 - 2*j**2 + 5*j**4)*(-1 + 0 + 3).\nAnswer: 20*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {l: 1, x: 5, k: 4, s: 5, z: 4}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4428620 + 3?\nAnswer: 4428623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4650 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2132\/26*(-4)\/6*(-15)\/(-20)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 25485177 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**10)\/t**(-7)*(t\/(((t*t\/(t*t*t\/((t**3*t)\/t)))\/t)\/t)*t)\/t*t**(7\/3) assuming t is positive.\nAnswer: t**(64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c + 22. What is the tens digit of d(15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**2 - 76*x + 75*x - 2*x**2 - 6*x**4 + 17*x**3 as w*x**4 + h*x + c*x**2 + s*x**3 + a and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(36\/16)*4956\/5782?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8658568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 6*x = 15. Let h(n) = n + 9. Let g(q) = -q - 4. Let w(v) = x*h(v) + 5*g(v). Determine w(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-52793)\/21762 + (-1 - -5) and 121\/240?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -36, -73, -124, -189, -268, -361?\nAnswer: -468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppppppp. What is prob of sequence pppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(4\/5))\/(n\/(n*n**2)))**21\/(n**(-3)\/(n*n**(-5)))**(3\/4) assuming n is positive.\nAnswer: n**(1581\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 819 and 109494.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -3*f + 2595, f + y + y = 865. Suppose -6*w + f = 295. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {a: 3, l: 3, q: 5}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 4) + (20 - 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**2 + 15*a + 24. Let j be r(-6). Suppose 0 = j*d - 16177 - 12257. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*s**2 + 3*s**2 - 2*s**2)*(0*s + 2*s - 4*s) - 53*s**2 + 5*s**3 + 53*s**2)*(5*s + 5*s - 4*s) to g*s**4 + z*s + a*s**3 + d*s**2 + f and give g.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 837686, 3350860, 7539484, 13403558, 20943082, 30158056?\nAnswer: 41048480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 5*p - 35, 4*p - 460 = 2*m - 420 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -511 + 511.1135. Let c = x + 101.9865. What is c rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + (-3*(1 + -1*sqrt(343)))**2) + 0.\nAnswer: -18552 + 756*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3115*x + 3091*x = -312 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -191*v + 188*v - 84. Let p be 0 + (-12)\/21 - v\/49. Solve 3*k = u + 2*u - 6, k + 4*u + 7 = p for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(29614\/(-34))\/13?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.11 + 0.11. Let r = -0.036 - -3.836. Let z = w + r. Is z less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*c + 6 = -89*c + 2*t - 14, -15 = -3*t for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4027034 is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(10\/7)*w**(-42))\/((w*w**(-38))\/w**(1\/42)) assuming w is positive.\nAnswer: w**(-149\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7726978?\nAnswer: 2, 7, 551927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a - 50 + 232 = 0. Solve -23 = 4*n + i, -2*n - i - a + 1 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f. Let h(q) be the second derivative of -q**3\/6 + 35*q**2\/2 + q + 7. Calculate u(h(t)).\nAnswer: 2*t - 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 40 = 5*z. What is the units digit of 2\/z - (-322)\/56?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49230 by -15.\nAnswer: -3282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - (6 + 34 + -71).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96390 and 2618.\nAnswer: 1060290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**2 - 3*n**2 + 4*n**2 + 22*n**2 - 7*n**2 + 6*n**2 + 0 + 0 + n**2 + (4 + n**2 - 4)*(0 - 2 + 0).\nAnswer: 19*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 53262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 699017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-32)\/20*(-4)\/(-16)*-10. Solve -9 = -q*u + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5642885 a multiple of 457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m**2 - 12*m**2 - 2*m**2 - m**2.\nAnswer: -20*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2055*l - 2056*l + 16 = -5*s, 0 = -5*s + 2*l - 17 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 5*a - 9 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b = 13*b + 22. Solve 4*o = -5 - b for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/4 and (0 - 9\/60)\/((-36)\/1330).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (123 - 382 + 144 + 476*k**2 + 115)*(k**3 + 0 + 0).\nAnswer: 476*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 1733*k + 6919. What is c(-4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*a - a - 130 - 3*a + 5*a - 8*a.\nAnswer: 4*a - 130","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 675177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*f + 15056 - 17756. What is the greatest common factor of 60 and f?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-one halves of a gram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 4 (c) 146 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**3\/5 + 56*i**2 + 10336*i\/5 + 36992\/5 = 0.\nAnswer: -68, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 681?\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 513*i**2*j**2 - 25*i + 6*j**2 wrt i?\nAnswer: 1026*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34088233 is divided by 1988?\nAnswer: 1985","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2 = 2*a, q = -2*q + a - 4. Suppose -5*o = 4*h + 30, 1 = 2*o + h - 2*h. Is o greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 - 35. Factor -4 - 14*n**3 - n - 3*n + t*n**2 + 4.\nAnswer: -2*n*(n - 1)*(7*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.03 and -176.9222?\nAnswer: 176.8922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/16*-1*-27*(-150)\/135?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -0.2 (c) 3 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 i when three letters picked without replacement from {l: 1, c: 4, i: 3, n: 1, e: 3, b: 3}?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25920 - 25916. Let p be 1 + 1 + (-24)\/10. What is the third biggest value in r, p, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08 and 9.\nAnswer: 0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/23, 3.1, 1?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5*(2 + 2 + sqrt(68)*2)*-5)**2.\nAnswer: 20600*sqrt(17) + 180609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1173245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2*(4 + (-1*-2*sqrt(1100) - sqrt(1100)) - ((sqrt(1100) - 2*sqrt(1100))*-5 - sqrt(1100) - (0 + sqrt(1100))*5)) + -2)**2.\nAnswer: 640*sqrt(11) + 17664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -37\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5019.951 nanoseconds?\nAnswer: 0.005019951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -18 - -16 - ((-2 - 1) + -5) - 14\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 421.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (20 - 16) + -2 + 4 + -2. Let m(i) = -k - 18*i + 9*i + 6*i. Let l(j) = -15*j - 21. What is -4*l(c) + 21*m(c)?\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 388 + -74. Suppose 308 = 2*y - 3*h, h - 2 = -2*y + v. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 18 = -3*n, -15 = -4*y + 2*n - 3*n for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 7:53 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**3 + 1. Let g(d) be the third derivative of 0*d**4 - 1\/24*d**6 + 2*d**2 + 0*d**5 + 0 + 0*d + 1\/3*d**3. Suppose -1 = m + 2. Give m*g(a) + 7*s(a).\nAnswer: a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 - -26 - (-12 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 291217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -16, f + 2*g - 59 = 145. Suppose -3*o - 4*t - 207 - 226 = 0, -2*t = -4*o - 548. Let i = o + f. List the prime factors of i.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 148873582?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/2093919 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -j**5\/60 + j**4\/24 - j**3 - 38*j**2. Calculate y(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 12*f. Let d(y) be the first derivative of -1 - 1\/2*y**2 + 0*y. Determine -22*d(v) + 2*n(v).\nAnswer: 2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -282 + 160. Let l = 57557\/8 + -7206. Calculate the common denominator of l and (f\/(-66))\/((-6)\/(-9)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18616\/7 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.61 + 2.61000044. Round q to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -5*k. Let v be n(-4). Suppose p + v = -0. What is the remainder when 29 is divided by (-8)\/p + (-96)\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*u + 4*u + 43 = 0, 5*u - 30 = 5*t. Let a(o) = 7*o + 99. Does 6 divide a(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -11. Suppose 4*q + 2*x = 86, 0 = -p*q + 7*q - 3*x - 42. What is the remainder when 35 is divided by q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.90629 to 3 decimal places.\nAnswer: -0.906","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.11 + 0.11. Suppose 12*l + 10 = 17*l. Sort -4, m, l in descending order.\nAnswer: l, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.03 or 58?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-23)\/(-8) - (-10)\/80. Solve 2*n + o*n = 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6815185 * 0.1\nAnswer: -681518.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -7*v - 1. Let b be p(-1). Suppose 3*y - 40 = -5*y. Let j be 224\/40 + 2\/y. Calculate the highest common divisor of j and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -2) + -1 + 5 + -15 + 4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9742 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4264 divided by -26?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + -70.\nAnswer: -69.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 107, -0.1, 46, -7\/3, 3, 2\/9.\nAnswer: -7\/3, -0.1, 2\/9, 3, 46, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4 = 4*h - c, 0 = -4*h - c - 26. Let k(r) = -8*r - 14. Let a(n) = -9*n - 15. Let t(g) = -5*a(g) + 6*k(g). What is t(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 156?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h + 20*h - 2*s = -4*h + 91, -4*h + 3*s = -59 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, m: 1, i: 1, a: 1, u: 1}. Give prob of sequence aumi.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -16, 12003\/34, 2?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2262\/145 + -15 + 194\/(-340)\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*o**2 - 33*o**2 - 7*o**2 - 2*o**2 in the form p*o**2 + a*o + g and give p.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -22, -0.88, 7 in ascending order.\nAnswer: -22, -2, -0.88, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1266.\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + sqrt(847) + -5*(sqrt(847) + -3*sqrt(847)) - (sqrt(847) + 2*sqrt(847))*6)**2.\nAnswer: 30492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 50087*r - 400934. What is p(8)?\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/105)\/(1 + (-9)\/15).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*t + 85, 5*t - t = 2*y - 162. Is y\/(8\/(-12) + 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13937172287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12121471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qly when three letters picked without replacement from tyylytqyqtyqqyt?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66163468?\nAnswer: 2, 7, 2362981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j. Let r(v) = -3*v - 2. Let b(f) = -13*f - 9. Let h(u) = 2*b(u) - 9*r(u). Let c(x) = 3*h(x) + 2*q(x). Let i(o) = -51*o. What is i(c(l))?\nAnswer: -51*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 749\/5 + -149. Solve -1\/5*z**5 + 4\/5*z**2 - 6\/5*z**3 - 1\/5*z + f*z**4 + 0 = 0 for z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**2 - 42798*u + 42417*u - 3*u**2.\nAnswer: -2*u**2 - 381*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*b**2 + 4*b**2 - 8*b**2)*(-2*b - b + b) + 19*b + 33*b**3 - 19*b + 2*b**3 - 2*b**3 + 2*b**3 - b**2 + b**3 - 4*b**2 - 2*b**3.\nAnswer: 62*b**3 - 5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k**3 + 5*k**3 - 3*k**3)*(4*k - 33 + 33) to the form j*k + z*k**2 + p + o*k**4 + l*k**3 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrr. What is prob of picking 4 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xeeqjxdtddx. Give prob of sequence jj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.25, 14, 73, -0.141, 0.5, 0 in decreasing order.\nAnswer: 73, 14, 0.5, 0, -0.141, -1.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*a**3 - 31*a**3 - 78*a**3)*(-2 + 6 - 3)*(-3 + 2 + 3 + (-4 - 1 + 4)*(1 + 0 + 0) - 4 + 0 + 5) as o*a + i + b*a**2 + h*a**3 and give h.\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6965 - -14706. List the prime factors of d.\nAnswer: 7741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 28574\/3744 - (-8)\/18?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99))**2*4 + (((2*sqrt(132))\/sqrt(12))**2 - sqrt(11)))*2.\nAnswer: -2*sqrt(11) + 880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 749*k**2 - 6 - 2*k**2.\nAnswer: -751*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 5*b**2 + 2*b - 1. Let r(n) = 6*n**2 + 2*n - 1. Let s(g) = -3*j(g) + 2*r(g). Let z be s(1). Is 26 a factor of z - (0 - 380)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -b**3\/6 - b**2\/2 - b. Let k be 6\/4*44\/33. Suppose 5*y - k*y + 12 = -2*p, 0 = 4*p + 5*y + 22. Give n(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c - 3*c**2 - 5*c - 3*c - 2*c + 2*c.\nAnswer: -3*c**2 - 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13934 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 35871 divided by -1087\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 9 = -3. Let r = -1 + d. Let m(w) = 1 + 2 - 3*w + 5*w**2 - 4*w**2. Calculate m(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-508)\/((-3833016)\/(-5749578) - 2\/3). Suppose t + 7867066 = 5*a. Round a to the nearest one million.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*h + 76*h - 148*h + 2*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 45\/27*(-2288)\/260*3\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7325\/7 - -1041. Let m = -7263 - -101737\/14. Let j = m + y. Which is the biggest value? (a) j (b) -5\/4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 8*v**2 - 11*v + 13. What is the units digit of m(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -192 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5581*j + 8951 - 20113 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 302*x + 122*x + 431*x + 2*x**2.\nAnswer: 2*x**2 + 855*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 10*z**2. Let x(m) be the second derivative of 0 - 29*m + 0*m**2 + 1\/6*m**3. Give x(o(k)).\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -1) + (-1)\/(-2). Let p be 48 - (-340)\/(-10) - 10. Let s = 7.8 + 0.2. Sort s, p, a.\nAnswer: a, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**27)**22)**(-11) assuming z is positive.\nAnswer: z**(-6534)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 3*y**2 - 3*y + 4. Let n be 10\/45 + 38\/(-9). Let z be f(n). Solve -4*k - 20 = z, 5*k + 28 = -b + 4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 126615*l**3 - 51321*l**2 + 270*l = 0.\nAnswer: 0, 45\/8441, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 263 divide 879283946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 21*b**2 - 429*b + 9335. Calculate n(22).\nAnswer: -587","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 219377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, v: 8}. Give prob of picking 3 v.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -k + 6197, 5*k - 5915 = -4*t + 302. Does 51 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*g**2 - 55 - 83*g**2 + 360*g**2 + 57*g + 236*g**2 + 54.\nAnswer: 404*g**2 + 57*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6, -14, -38, -60, -74, -74?\n\"Answer: d**3 - 8*d**2 - 3*d + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19371914?\nAnswer: 2, 491, 19727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.9 - 0.73. Let d = w - 1.07. Let r = d + -2.1. Is -6 smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 156533081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 2*p + 5. Let z be q(2). Suppose 15*l = -n + 17*l - 60500010, 0 = l - z. Round n to the nearest one million.\nAnswer: -61000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -69*q + 1074. Calculate the remainder when 2186 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - -4. Calculate the remainder when 12 is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 18*s**2 + 18*s + 19. Let p be h(-17). Suppose p*g = -g. Let l(a) = -a + 8. What is l(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1932, -2\/15, 5, -0.088?\nAnswer: 0.1932","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 0*m = 18. Put -1, -4, m in descending order.\nAnswer: -1, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -4232214.\nAnswer: -4232217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -6, -3*j - 3*v + 0*v + 12 = 0. Let f = -3 + -20. Let z = 23 + f. What is the third biggest value in z, j, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3259598 rounded to the nearest 100000?\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50)\/(9800\/1029))\/(((-11)\/10)\/(-11)).\nAnswer: -105\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 0*l**2 - 917*l**4 + 1847*l**4 + 0*l**2 - l**3 - 931*l**4 + 3*l to v + k*l**3 + b*l**4 + f*l + s*l**2 and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1972545822?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 72128*j**3 + 168*j + 228142704.\nAnswer: 216384*j**2 + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 72786 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1254, -1705, -2442, -3459, -4750?\n\"Answer: z**3 - 149*z**2 - 11*z - 1095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -15*v - 267. Let i be c(-19). Calculate the highest common divisor of 288 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (0 - 4) - 2. Suppose -2*b - 2*u + 5 + 135 = 0, 207 = 3*b + h*u. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3 + sqrt(175))**2 + sqrt(7).\nAnswer: 31*sqrt(7) + 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3\/3 - 5038*m**2\/3 + 20072*m\/3.\nAnswer: m*(m - 4)*(5*m - 5018)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 60*l**3*n**6 - 6*l**3*n**4 - l**3*n**2 - 25*l**3 + 7*l**2*n**2 wrt n?\nAnswer: 7200*l**3*n**3 - 144*l**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18515 - -166427\/9. Suppose -5*w - 102 = 4*i, -4*i - 48 = -2*i + w. Which is smaller: r or i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38017145038 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 1. Let v(s) = s**2 + 2*s - 1. Let f be v(k). Suppose 0 = -3*n - x - x + 14, 2*n = -x + 11. Solve 4*h + n = 2*h - 3*z, h + f = -3*z for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*x + 13*x - 15 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 0*z**3 - 1\/30*z**4 + 1\/5*z**2 - 1 - 2*z. Let q(g) be the first derivative of i(g). Determine r, given that q(r) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4270210 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-1 + 1 + 2\/12)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*(k\/(k*k**4))\/k*k*k\/(k**(-1\/4)\/k*k*k)*k)\/(k**(-15)*k**(1\/15)))**(-7\/8) assuming k is positive.\nAnswer: k**(-5957\/480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/7 - (-10)\/14. Suppose 4*g = r + 7. What is the units digit of 0\/2 - g - -8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 56*j - 718. Determine z(-19).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) -30 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14222020 + 2?\nAnswer: -14222017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zk when two letters picked without replacement from {z: 3, k: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-311402)\/(-1274) + (-4)\/(-7). What is the second biggest value in v, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*b**2 - 5 + 5 - 273*b**2.\nAnswer: -223*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - 1 - (32 - (-36 - -61)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.8 + 2.7. Let w = -1.07 + 0.57. Which is the nearest to 0? (a) w (b) -4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -31*k + 0*k**2 - 27 + 82\/3*k**3. What is the derivative of g(s) wrt s?\nAnswer: 164*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s - 6. Let x be b(-10). Suppose -x*i + 3*i = 0. Is i >= -3\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*j**2 - 313\/2*j + 156.\nAnswer: (j - 312)*(j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 101505135?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from btvbveetvrvbbkvb. Give prob of picking 2 t, 1 k, and 1 e.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-430)\/(-86)*(-2)\/8.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 675, 0.0082, -1\/2, -0.28, 0.3?\nAnswer: 0.0082","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/15 (b) -0.3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 146*u**2 - 2121*u - 270100. Give p(-148).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + 0. Let q be (3 - -13450004) + (-1 - (10 + -4)). Suppose q = -u*b - b. Round b to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z**2 + 4*z**2 - z**2 + 2*z + 6*z**2 - 2*z + (0 + 0 - z)*(z - 8 + 8))*(z + 2*z**3 - z).\nAnswer: 28*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 + 8022 + 2*s**2 - 8018 + 24*s**2.\nAnswer: 23*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 + t**2 + 0*t**2 + (0*t**2 - 2*t**2 + 4*t**2)*(-1 + 0 + 2) - 2*t**2 + t**2 - t**2 + 108*t**2 - 2336 + 2336 to i + x*t + k*t**2 and give k.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k + 19*k + 2*y = 506, -k + 2*y = -144. Solve 0 = -212*v + 186*v + k for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*d**5 + d**3*j**2 + d - 150*j**2 wrt d.\nAnswer: -420*d**3 + 6*d*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5015 + -9.\nAnswer: -5024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*11*(-9)\/(-198)*30.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -20, -38, -64, -98, -140, -190?\nAnswer: -248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t + 9*t - 2*l + 26 = 0, 2*t + 48 = 4*l for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/(-45))\/(250\/(-525)).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1889776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1552220 divided by -310444\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -372*g + 32 = -380*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*v - 20*v - 16*v - 13*v + 54*v + 14*v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + p**2 + 4*p + 3. Let b = -3 + 6. Suppose b*m + 16 = -m. Is j(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 28*y = 23*y - 240, 0 = 4*m + 4*y - 288. What is the highest common factor of m and 225?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 2*k - 9. Suppose -4*g + g - k = 0. Is g less than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 12:48 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 438.505 - 437. Let m = q + -3.172. Round m to two dps.\nAnswer: -1.67","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3655946 + 12518613 = 140*u - 14434313. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138011 not equal to 138005?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 7, -30806 in descending order.\nAnswer: 7, -5, -30806","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 7*n**2 + 25848*n - 206811. Give t(8).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w + 0*w**2 + 1 - 5*w - w**2 + 0*w**2 + 3. Let b(t) = -t**2 + t - t**2 + t**2. Let h(j) = -2*b(j) + p(j). Determine q, given that h(q) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/471588 and 101\/1770.\nAnswer: 139118460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 10:17 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.789085 nanoseconds to seconds.\nAnswer: 0.000000008789085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 389*j**3 - 803534*j + 803534*j.\nAnswer: 389*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 5*x - 29. Let m(h) = 4*h - 28. Determine -2*k(j) + 3*m(j).\nAnswer: 2*j - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.069 and -29240.\nAnswer: -31257.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26795000.\nAnswer: 2, 5, 23, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 21*r - 103 + 49 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -316 - 50 = -190*n - 124 + 138. Let z(w) = 17*w**2 - 2*w - 6. Let o be z(-4). What is the greatest common divisor of n and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 112 + -60. Suppose -3*u + 30 = 3*n, 4*u + 4*n - 6*n = s. Does 2 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12785 - 10*h**3 + 6*h**3 + 9648*h - 9648*h - 12785.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*u + 7. Suppose x - 44 = 6*x + 4*d, 28 = -3*x - u*d. Let f be 3\/(-2)*x\/(-45). What is the nearest to 2\/3 in -4, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-395)\/553*14\/630?\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 z when two letters picked without replacement from pzzpzzpzpzhzzzzzztp?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -60 (b) -0.4 (c) -3 (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/11 and -19\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-123)\/(-39) - 2*(-2)\/(-26). Solve -a + p = -s, -3*a + 5*s + 7 = -10 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -10*d**2 - 115*d + 956. Give f(10).\nAnswer: -1194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1352*o**2 + 213*o**3 + 1352*o**2 - 8*o**3 - 74 + 74.\nAnswer: 205*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -198713\/26796 - 2\/2233. Let a be 2\/312*-2745151*-3. Let s = 52793 - a. Calculate the common denominator of s and w.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32936?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (25 - 85 - 35 - 2*i)*(17 - 17 - 3*i - 5*i) as h + v*i + g*i**2 and give g.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 255 or 253?\nAnswer: 253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 12:35 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7979*i = -7878*i - 5151 for i.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1548 - 1542. What is the highest common factor of 4 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -10 (b) -0.1 (c) 0.3 (d) -313.5 (e) -2\/3 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/11, 15, 0.5, 52179, -1, -6 in ascending order.\nAnswer: -6, -1, 4\/11, 0.5, 15, 52179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*t = 269, -4*d + t + 0*t + 263 = 0. Calculate the smallest common multiple of 15 and ((-87)\/15 + -2)\/((-13)\/d).\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**5 - 589*b**4 - 25967*b**3 + 923237*b**2 + 1922014*b + 973400 = 0?\nAnswer: -62, -1, 25, 628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -305, -303, -301?\nAnswer: -299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + 0.5077.\nAnswer: 1.0077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x + 13. Let j be 40\/14 + 10\/70. Let h be p(j). Find the third derivative of 10*u**4 - 5*u**4 - 18*u**2 + 6*u**h + 0*u**4 wrt u.\nAnswer: 264*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -138\/13 + 979\/91. Which is the smallest value? (a) -6 (b) t (c) 7\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, g: 5, n: 2, y: 3, z: 3, t: 1}. Give prob of picking 1 p, 1 z, and 2 n.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 5*k**2 + 5*k + 7. Let q(o) = -o**2 + 7*o - 4. Let x be q(6). Suppose 0*y + 4*f + 4 = -x*y, -3*f = 4*y - 12. What is the units digit of j(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2770 plus -2?\nAnswer: -2772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + k + 27 - 4, -13 = -5*u - 4*k. Suppose 0 = -4*l + 2*s - u*s + 265, 2*l - 139 = 5*s. Let z = l - 27. Is z greater than 39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5592*a + 200*a**3 + 5586*a - 11178*a.\nAnswer: 200*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 4:18 PM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -26568 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1105 != -1102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 761, 760, 759, 758, 757?\nAnswer: 756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 4, -5*b = y - 24 + 6. Solve -11*j + 10 = -y*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3*51\/(-34)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*u + 12. Find the common denominator of 31\/7 and 66\/(-30)*3\/(u\/(-5)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of q**3 - 14. Let l(n) = -3*n**2 - n. Give -3*j(k) - 2*l(k).\nAnswer: -3*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjjgdkxjqggjxgk. What is prob of sequence jk?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 1\/4*d**4 - 4*d**2 + 1\/15*d**5 + 0 + 0*d - 5\/6*d**3. What is the smallest common multiple of 6 and g(-4)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11*-0.025592\nAnswer: 0.281512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 443406 is divided by 13019.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 + -4023?\nAnswer: -4012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/17, 62, -244, 2\/5 in decreasing order.\nAnswer: 62, 2\/5, 3\/17, -244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 16*m**3 - 14*m**2 + 5*m + 36. Let s be v(7). Suppose -13*o + 1198 = -s. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - (9 - 16) - (-17 + (2 - -2))) + -143\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (23\/(-138))\/(6\/60)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-3))\/(16\/(17136\/105)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 515 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3238 or 2537?\nAnswer: 2537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 7:51 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 160 and 124945.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.29 - -1.2. Let r = v - -0.122. Round r to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**2 + 1980*z - 1980*z.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, t: 2, u: 1, o: 3, v: 6}. Give prob of sequence tuv.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 397164 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -352.2385 less than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 25*j**2 - 16*j - 90. What are the prime factors of f(30)?\nAnswer: 2, 3, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -216 - -215.9. Which is the third biggest value? (a) d (b) -4 (c) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 171267892 and 316.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 804980174 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 354324.6 meters?\nAnswer: 354.3246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 867*u + 1024*u + 58621 for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33384, -134992, -304332, -541398, -846184, -1218684?\nAnswer: -1658892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 560*a**2 + 70*a + 3. What are the prime factors of f(-6)?\nAnswer: 3, 6581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -342.69 (b) -7 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 9*d - 6. Suppose -6 = 10*z - 16. Suppose 0 = r - 7 + z. What is the units digit of h(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 - 74 = -2*w + 2*m, -5*w + 0*w - 6*m = -5*m - 24 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 31 = 5*h + q, -2*q + 43 = -5*h. Let g = h + 4. Let o(m) = m**3 + 3*m**2 + m + 3. Let s be o(g). Solve s = 2*d + d + 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 126?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n + 2*n + 1 + 0 - 2. Let z(q) = 3*q - 4. Determine -12*r(h) + 3*z(h).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450)*2*-6*-2)\/(sqrt(144) - (sqrt(144) + sqrt(144)*-2)*5 - sqrt(144)*-1*6).\nAnswer: 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 + 6 + -3)*0. Let n = 109 + -871\/8. Is a at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -0.079.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 11*a + 3. Let d be w(11). Suppose d*p - 10 = -5*f - 2*p, f - 3*p - 2 = 0. Solve -12 = -f*v + y, -5*v + 33 = -3*y - y for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*d + 429380 = -8*d. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (143\/39 - -1) + (-4)\/6. Suppose 0 = 2*h + 32 - 30, z*f = h + 1081. Does 6 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 26 and 11280163529.\nAnswer: 11280163555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40760 - -40762. Solve a*f + 270 - 264 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ozo when three letters picked without replacement from zzzzozozzzoozzzo.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 6*a**2 - 13*a + 16. Let y be q(-8). Let b(o) = 3*o**2 - 5*o - 35. Let s be b(y). Suppose 7*j - s = 167. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239899.\nAnswer: 11, 113, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 - 35*k + 26. What is y(17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001 (base 2) in base 5?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1293233616 to the nearest integer?\nAnswer: 1089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 17*t + 2. Let r be i(-17). Suppose -4*w = -a - 4, -r*w = 5*a - 37 + 13. Solve -4*x = -2*p - 24, 0*p = w*p + x - 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5*(2 + sqrt(1377) + 3)**2.\nAnswer: -7008 - 450*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/74 - (-112216)\/(-6253)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 163 + 81. Let l be -4*1*2\/m. Suppose -179*t - 58*t = 31*t - 11*t + 257. Which is smaller: t or l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -15. Is -3 at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/2122)\/(2\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 16*c - 165. Let h = 27537 + -27526. Give l(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 79943973 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83768 is divided by 3987?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/26663 and 47\/4459.\nAnswer: 1306487","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2117718014 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*g**2 + 4 - g**2 - 7)*(g + 5*g + 8*g) to a*g**3 + j*g + z*g**2 + f and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -611595 (base 10) to base 3\nAnswer: -1011001221200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4248631661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 0*j = 0. Suppose -v = -11*c + 7*c - 17, 5*v - 16 = -3*c. Solve j*n - v = -n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 13, -1, -33, -89, -175, -297, -461, -673?\n\"Answer: -j**3 - 3*j**2 + 2*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q + 5. Let i be j(0). Suppose -2*t = 3*t - i. Suppose -5*v + t = -49. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1566913 = -170*d + 6353047. List the prime factors of d.\nAnswer: 2, 19, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 7, -3, 3, -5, 4 in decreasing order.\nAnswer: 7, 4, 3, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**5\/11 - 360*k**4\/11 + 2316*k**3\/11 + 18176*k**2\/11 + 27954*k\/11 + 12456\/11 = 0. Calculate k.\nAnswer: -3, -1, 12, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) -219 (c) 2 (d) -1\/6 (e) 1 (f) 12\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19650 by -9825.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/(-12) + 9\/(-6))*-3. Factor 4\/5 + 2\/5*w**3 - 6\/5*w + 0*w**y.\nAnswer: 2*(w - 1)**2*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u - 6709*u**3 + 6710*u**3 + u.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -94 + (0 - 42) + 56?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -84 + 90. Suppose -d = c*d - 21. Let u = 8 + -2. Sort 2\/5, u, d.\nAnswer: 2\/5, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 212189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 3 + 2 + 0 + 0 + (16 - 31 - 15)*(152 + 240 - 34))*(p - 2*p + 0*p)*(2 - 2 + p**4).\nAnswer: 10741*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/7)\/(1\/(-7)))\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c + 9 - 21 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2134 is divided by 426.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78736 and 19994726.\nAnswer: 1406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3823 - 19114\/5. Which is the closest to -1\/3? (a) -10 (b) i (c) 0.3 (d) -39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 2*j - 474, -g + 116 = 2*j - j. Solve 120*c + 5 = g*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -x**8\/8960 - x**7\/560 - x**6\/192 + 5*x**4\/8 - 14*x**2. Let b(t) be the second derivative of f(t). Factor b(d).\nAnswer: -3*d*(d + 1)*(d + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -57 - -32. Let q = -15 - a. Solve -2*g = -4*g - q for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 357753 a multiple of 470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*u - 90*u = -25. Is -2 + (-12)\/u + (-51345)\/(-75) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1201011 (base 3) in base 8?\nAnswer: -2336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -5 - 4 - 5*j - 2*j + j**2. Let f = -105 - -110. Suppose z - y = -4*y - f, -2*z + 2*y + 22 = 0. Give t(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-34)\/(o*o**34) assuming o is positive.\nAnswer: o**(-69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 252 + 5?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kmkmckcmmmmmckmcm. What is prob of picking 3 c?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**2 - 640 - 1031*h**3 + 327 + 315 to the form n + x*h**3 + g*h + k*h**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -h**3\/3 - 7*h**2\/2 - 7*h + 16. Give d(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(1\/5))\/k**(-4\/15) assuming k is positive.\nAnswer: k**(16\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - h + 28*h**4 - 57*h**4 + h**2 + 3*h**3 + 28*h**4 in the form c*h**4 + g*h**3 + p + t*h + u*h**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnr when three letters picked without replacement from {i: 1, x: 1, w: 2, r: 2, n: 10}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*u**3 - 3*u**3 - 2*u**3 + (3*u**2 + 3*u - 6*u + 4*u)*(2 + 2*u - 2) + 3*u**3 - u**3 + 0*u**3.\nAnswer: -11*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*p**4 + 4*p**2 - 1 + 10*p**2 + 0*p**3 + p**3 - 4*p**4 - 10*p**2 to a*p**3 + c + o*p**4 + i*p**2 + b*p and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 74 = -c. Let u = -37 + c. Is u a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1192 - 1226 - (-93 - 1).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20468 and 212205?\nAnswer: 14429940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*w + 707*w - 102*w + 191*w + 175*w**5 + 308*w**5 wrt w.\nAnswer: 9660*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bdc when three letters picked without replacement from bbcbcbd?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*y - 9*y + 9*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 882 is divided by 286?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2319 - 2316. Solve 0 = 2*q + 2*i - 8, 5*q - 5*i + m*i = -1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4116 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 2*u - 650 - 6667, u = 3. Is k a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1465\/2344 + (-9)\/(-8).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 31 = -87. Suppose -4*t + 193 = -c. What is the highest common factor of t and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 5*p - 5. Let q(h) = 0*h - p*h - 3 + h. Let z(u) be the second derivative of 17*u**3\/6 + 13*u**2\/2 - u. What is 9*q(x) + 2*z(x)?\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (128\/288)\/(2\/9). Let g = 0.7 - -2.3. Which is the second biggest value? (a) -3 (b) n (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*l*u - 6140*l - 4214*u + 1346 wrt l?\nAnswer: -3*u - 6140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 4, 0, -5.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36161722 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/174 and 16\/261.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 201, 452, 701, 948, 1193?\nAnswer: 1436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 16.522116 and 1169.\nAnswer: 1185.522116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -2, 3 in decreasing order.\nAnswer: 6, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 2.9. Let k(o) = -o**3 + 4*o**2 - 2*o - 6. Let w be k(3). Which is the nearest to l? (a) 0.4 (b) w (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212 = -w - 0*w. Let k = -96 + w. Suppose 14 = g - 4*z, g - 3*z + k = 6*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + -23bba4e5?\nAnswer: -23bba4eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 912 a factor of 147676764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/101 (b) -1\/5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71809 is divided by 764?\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.53534369 to three dps.\nAnswer: -37.535","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2316203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -5, 0*y - 4*r + 16 = -4*y - y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -139*v - 36. Let i(o) = o**2 - 8*o + 17. Let b be i(5). Suppose 2*m - b*x + 22 = 0, -19 = 2*m + 3*m + 4*x. Is s(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -109 + 127. Suppose 15*l - x = 12. Put -1, l, -3, -2 in decreasing order.\nAnswer: l, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 times -12.305?\nAnswer: 873.655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269*u + 137*u + 130*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -1\/3209683?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*c = 9 + 4, -3*c = -2*y - 25. Let p be (-6)\/(-21) + (-80)\/(-14). Let n be 4\/2 + y\/p. Sort 0.1, -2, n.\nAnswer: -2, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 1230.\nAnswer: 3690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*v - 213096 = 20*v + 393883. Is v a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7a5 (base 16) to base 3\nAnswer: 2200111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1548 - -4833. Which is bigger: m or -0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -117, -216, -333, -456, -573, -672?\nAnswer: -741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 6*b + 1. Let a be 2 - (-1 + (3 - 5)). Let q = 55 - 33. What is the lowest common multiple of l(a) and q?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111200011 (base 3) in base 11?\nAnswer: 20305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -91190*j - 24347741. Give x(-267).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -4770\/599?\nAnswer: -4770\/599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.038, -12, -5, -3 in descending order.\nAnswer: 0.038, -2, -3, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-48)\/(-8)*(-4)\/(-6). Let t(z) = 4*z + 47. Let m be t(-7). Suppose k*i = m + 1. Solve -3*l = -y + 15, -3*y = l - 0 - i for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-27) + (-410)\/(-18). Let b = -39 + h. Let i = b + 23. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*c**3 - 9*c**3 - 5*c**2 - 7*c**2 wrt c.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*m - 22*m - 24*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1, -3, 5, -11767\/27, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20767 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of 0*f**3 + 0 + 0*f**4 + 3\/40*f**5 + 0*f**2 - 25*f. What is q in x(q) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 15. Let o = -1\/46 + 103\/506. What is the closest to o in 4, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4250 and 125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p - 5 + 12*p**2 - 4*p**2 - p**2 - 6*p**2. Let d(y) = 5*y - 3. Let w be d(2). Does 13 divide n(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 562*f + 401 - 3907 = 428 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -3*v + 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v = v + 15*v + 45 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-3))\/1 - 3. Let x(y) = y**2 + 3*y - 4. List the prime factors of x(d).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3518 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -g - 4*g - 3*f, -2*f = -4*g - 14 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6963*r + 2319*r + 2321*r + 2325*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3712007 = -4*a + 5*d - 3711934, 7*a - 99 = 3*d for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qeeq when four letters picked without replacement from eqqqeqqqqqqqqqe.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 247191405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3 - 24*j**2 + 18*j + 44.\nAnswer: 2*(j - 11)*(j - 2)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 3506*i**5\/5 + 1683*i**2\/2 - 729. Find the second derivative of y(x) wrt x.\nAnswer: 42072*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 5. Let w be f(0). Let o(t) = 90*t - 18*t - 14 + 42. Let s(k) be the first derivative of 13*k**2\/2 + 5*k - 17. Calculate w*o(d) - 28*s(d).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 351, 719, 1185, 1749, 2411, 3171?\n\"Answer: 49*v**2 + 221*v + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 9*w**2 + 4*w + 9. Let l be k(8). Suppose -4*u + 2*u = 34. Let d = u - l. Solve 0 = -2*a - b, 5*b - d = 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*q - 7*q + 2*s - 708, 732 = 2*q - 4*s. What are the prime factors of q?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 0*d - 5*g + 12, 5*g - 24 = 3*d. Let f = d + 6. Suppose 0*z + f*z = -2*w - 185991, -5*w - 4*z = 464988. Round w to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dgo when three letters picked without replacement from {j: 2, g: 1, h: 2, d: 2, o: 1, x: 1}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*u = 36 + 225 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(2 + 3*x - 2).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140 and 56310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-28) - 0\/(-4). Suppose 4*u = u. Is u at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 2836244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -198.9976 - 0.0024. Let s = 198.9 + v. What is the fourth biggest value in -0.6, s, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 10:15 PM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g*g\/(((g**(-8)*g)\/g)\/g)*g)*g)**(-28))**(4\/3) assuming g is positive.\nAnswer: g**336","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g + 29 = -4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*q = 41*q - 165 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7 - -3 - -5)*6. Suppose y*h + 2 + 4 = 0. Sort 3, 5, h.\nAnswer: h, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -37*p**2 - 130*p + 666. Determine x(3).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5 + (-2*sqrt(1573)*-6 - (sqrt(273)\/sqrt(175))\/sqrt(3))**2.\nAnswer: 5645703\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + 2 + 2 - sqrt(1331)) + -2 + (2*sqrt(132)*2)\/(sqrt(192)\/sqrt(4)).\nAnswer: 2 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y - 31. Let l be (42\/(-8))\/((14\/(-8))\/(-7)). Let r be t(l). What is the second derivative of 11*s**4 + 17*s**5 - r*s**4 - s + 2*s wrt s?\nAnswer: 340*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l - 2. Suppose 5*j - 14 - 31 = 0. Let f = j + -9. Suppose f = 5*z - 3*o + 30, 0 = 3*z - o + 2*o + 4. What is d(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12176 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 583 a factor of 11327690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d - d + d)*(-1 + 1 - d**3) + 5*d**2 - 5*d**2 + 3*d**4 + (0*d**3 + 0*d**3 - 2*d**3)*(2*d + d - 2*d) as t + u*d**3 + i*d + r*d**2 + z*d**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 27924858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**2\/3 + 88*c\/3 + 968\/3 = 0. Calculate c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40\/3 + 523\/39. Let g be (-3 + (-21)\/(-15))\/(6\/(-15)). Which is the second smallest value? (a) g (b) j (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(273\/6) + (-6)\/(-70)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express x + 13*x**3 + 1 - 410*x**2 + 412*x**2 + 13*x**3 as k + d*x**3 + u*x**2 + w*x and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**7*y*y))**5*y**(-17)\/((y**(-1\/3)*y)\/y) assuming y is positive.\nAnswer: y**(-185\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 26*f**2 + 61*f - 3879. What is h(19)?\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 220*o - 211. What is the tens digit of f(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 7 = -2*w, -3 - 9 = 4*p for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710809 less than 1710811?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -8. Let h = r - -4. What is the units digit of 19\/h - (-3)\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-2260471\nAnswer: -678141.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + z**2 - z + 14. Let y(q) = -2*q - 14. Let r be y(-7). Let k be n(r). Let s = 7 + k. Does 7 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*i + 131 = 0, 367 = 3*h + 5*i - 3*i. Solve 23*l = 29 - h for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - w**2 - 2. Let g = 74 + -76. Let n be a(g). Solve -5*b - 35 + 9 = -n*h, 3*h - 17 = 2*b for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**5 + 3*u**2 - 3*u**2 + (-21*u**3 + 28*u**3 - 16*u**3)*(-u**2 - u**2 + 0*u**2).\nAnswer: 20*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 7*h + 516. Let r = h + 269. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 648\/(-270)*(-10)\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34111?\nAnswer: 7, 11, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -11401*j**4\/6 - 11*j**3\/6 - 5*j**2\/2 - 4*j. Suppose 5 = -r - 0. Let c be i(r). Round c to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 149 and 23?\nAnswer: 3427","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2766682 to the power of 1\/2, to the nearest integer?\nAnswer: 1663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**3 + 61*d**2 + 382*d - 294. Determine b(-16).\nAnswer: 1018","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -15.68 and -0.3.\nAnswer: -15.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 183 divided by -216.\nAnswer: -61\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 - 5 - (1 - -1). Let a = q + 48. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (31 + -1 - (-252 + 268)) + 24?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 0 (c) 8 (d) -1 (e) 9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 6*h + 75. Calculate v(-7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jv when two letters picked without replacement from hhjhvhjhhhvh.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -290952, -582718, -874484, -1166250?\n\"Answer: -291766*b + 814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*m - 141244 + 1227954 = -230356. Does 97 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 5*a**2 + 6. Let j be g(-5). Let h = -7 + j. What is the tens digit of ((-17)\/2)\/(h\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000111101010100 (base 2) to base 8.\nAnswer: -207524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z - 2. Let m be r(2). Is (0 + m\/8)*52 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -1\/210*g**6 - 2\/105*g**5 - 23\/2*g**2 + 0 + 0*g**3 - 8*g - 1\/42*g**4. Let t(p) be the first derivative of m(p). Factor t(o).\nAnswer: -4*o*(o + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 102. Calculate the common denominator of 1\/(-3) - 116\/(-24) and 1\/2 - l\/(-70).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(704))**2*-3 + (5*(sqrt(704) + 1*sqrt(704))**2 - sqrt(704)).\nAnswer: -56*sqrt(11) + 11965","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -16 + 13 - (52 + 0)\/(-2). Suppose -3*b + 143 = f. What is the remainder when b is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*n = 24*n + 28 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**1)**(-4\/31))**(-5) assuming w is positive.\nAnswer: w**(20\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ivvpskks. What is prob of picking 1 p, 1 s, and 1 v?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -462848 + 710881. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x + 31. What is i(9)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/6138 and 85\/18.\nAnswer: 6138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - p + 12 = 0, 5*p - 36 = -5*f + 4. Solve 0 = -f*m + 5 + 11 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + sqrt(176) + 0 + 2)**2 + (sqrt(22)\/sqrt(2) + -5 - (5 + sqrt(99)))**2.\nAnswer: 72*sqrt(11) + 852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q**2 + 32*q + 89. Let d = -21 - -30. Calculate the remainder when a(-9) is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 26*p**2 - 36*p + 2061. Calculate h(24).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 356?\nAnswer: -357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2929, 2956, 2963, 2950, 2917?\n\"Answer: -10*p**2 + 57*p + 2882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5903608?\nAnswer: 2, 139, 5309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-24)*3\/(-4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 less than 94900.89313265?\nAnswer: 94913.89313265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 352986 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4*c = 136, i - 3*c = -5*c + 22. Let k(b) = b + 11. Let l be k(-6). Suppose 0*p - i = -l*p. Solve 4*m = 26 - p for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.123 and 753.289.\nAnswer: 92.654547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 514 is divided by 50?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 117.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37879065*h**3 - 37878961*h**3 + 75758030*h**3.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3842853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y + 472 = 755 - 492 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -16255, -32515, -48775?\n\"Answer: -16260*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*d + 38*d - 5*n - 40, 5*n + 30 = d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -350 = -4*f - f. Let a(q) = -q + 20. Let d be a(0). Calculate the highest common divisor of f and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -191*b**3*z + 6*b**2*z + 35*z wrt b?\nAnswer: -1146*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -268 + 26?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (1 - -6 - 6)) + 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and -455.\nAnswer: -2730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-18 - 20)*(-1 - (-22)\/(-4)) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-20)*(-19)\/((-16093)\/(-154))?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-6) + 12\/6*1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*g - 4*g + 0*g)*(0 - 2 + 0)*(-2 - 3 + 6) + 1 - 1 + g - 13*g - g - 5*g + (20*g + 6*g - 2*g)*(4 + 2 - 4) - g - 2 + 2 to the form k + i*g and give i.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*6*4\/12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 22339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.3, 1\/4, 3, 1.0515 in ascending order.\nAnswer: 0, 1\/4, 0.3, 1.0515, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -816275826+0.7\nAnswer: -816275825.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 5, 60807, 2\/7, 19?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2d + 11?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 18000 divided by -1200\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 619093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*q**3 + 7*q**3 + 13*q**3)*(-q + 3*q - q)*(-1 + 0 - 1).\nAnswer: -26*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 121576420 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001317 to five decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.13 times 131\nAnswer: -17.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.604 * 0.3.\nAnswer: 0.1812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by 117?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) -13 (c) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111077 (base 8) in base 13?\nAnswer: -a648b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 427575.8 millilitres to litres.\nAnswer: 427.5758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*h**2*r**4 - h**2*r**2 - 2*h**2*r + 647559*h*r**5 - 912142*h wrt r.\nAnswer: 168*h**2*r + 38853540*h*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3616, 7287, 10968, 14659, 18360, 22071, 25792?\n\"Answer: 5*f**2 + 3656*f - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -180*i + 4. List the prime factors of g(-2).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1)*z*z)**(-6\/11)*(z*(z\/(z*z**(2\/3)))\/z*z)**21)\/((z*(z*z**9)\/z*z*z**(3\/2))\/((z*z**(1\/3))\/z*z**0*z)) assuming z is positive.\nAnswer: z**(-311\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 3)*(-57*i**4 + 563*i**4 - 173*i**4) as s*i**4 + w + c*i + l*i**2 + g*i**3 and give s.\nAnswer: 666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -125*w**2 + 147 + 528*w + 1533*w**4 - 16*w**2 - 147*w**5 - 1881*w**3 - 39 = 0.\nAnswer: -2\/7, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 182*w**3 - 358*w**2 - 11425*w - 8. What is n(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 8*w**3 - 2*w**2 - 6*w + 45. Let c(u) = 9*u**3 - 2*u**2 - 7*u + 44. Give -6*c(r) + 7*g(r).\nAnswer: 2*r**3 - 2*r**2 + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 84636521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) - (-1 + sqrt(180))) + -2 - (1 + sqrt(180) + 3))**2 - (sqrt(1125) + -3 + 3)**2.\nAnswer: -920 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/(-3 - 62\/(-20))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 168 and 44436.\nAnswer: 88872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/7 (b) 1\/4 (c) -3\/4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 80628.7632 rounded to the nearest one hundred?\nAnswer: 80600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 338 and 468.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105, 110, 117, 126, 137?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -682.7282 not equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/6*(-1 + 19). Let z(v) = -v**3 + 2 + 5*v**2 + 7*v - j + 2. Is z(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-25) - (-19)\/(-5). Let p be ((-24)\/90 + d\/3)*-5. Let t(c) = c**3 - 7*c**2 - 9*c + 11. What is t(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 81 + 63. Let g = d + -139. Put g, -0.3, 22 in decreasing order.\nAnswer: 22, g, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59637*q - 59449*q - 24016 - 4455 + 3091 = 0 for q.\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + p**2 + 8*p - 4. Let n be a(3). Solve -4*g + 3*g + n = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1748929219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 48 = -c, -z - 77 = 2*c + 37. Find the common denominator of -95\/8 and 4 + (1 - (-52)\/c).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 182852907?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 p when three letters picked without replacement from yuppywuudyyuud?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/6 + (-196)\/(-21). Suppose -55 = -3*w - f. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from llttlttttlttttlltt.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1400319301.\nAnswer: 12391, 113011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -103976640, -103976645, -103976664, -103976703, -103976768, -103976865, -103977000?\n\"Answer: -n**3 - n**2 + 5*n - 103976643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15.997 + 0.003. What is the closest to 0 in 4, 0.3, n?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 468 divide 262435680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1512, -6190, -13960, -24822, -38776, -55822?\nAnswer: -75960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2385*s + 9279. Determine l(4).\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (1 - (3 - 7)) + (-1 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 8.987623um?\nAnswer: 0.000000008987623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 195874 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a hour in minutes?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (31168\/(-1368) - 4)\/((-1)\/(-51)). Let d = 1366 + f. Does d = -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 756850\nAnswer: 1\/378425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/2704192 and 71\/258912.\nAnswer: 24337728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of 0 - 244\/45*d**5 - 4\/9*d**2 + 16\/3*d**6 + 2*d + 5\/6*d**4 + 8\/9*d**3. What is f in n(f) = 0?\nAnswer: -2\/9, 1\/4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.032 - -3.7969.\nAnswer: 3.8289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12261 and 4317519?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 1:48 PM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f**3 + 2 + 18*f**3 - 12*f**3 - 3*f**3 + f in the form p*f**3 + i + x*f**2 + o*f and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 5 = 2*y, 3*z + 4 = -0*y + y for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2.5176?\nAnswer: 2.5176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 662 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 166702 + -103506. Suppose -4*t + w = -l, 0 = t + 5*l + 6247 - 22067. What is t rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (-3 - -6) + 11 + (-1 - 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 79*g - 7. Let t(h) = 39*h - 3. Calculate 4*j(u) - 9*t(u).\nAnswer: -35*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199 is divided by 57?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1117*a**2 + 1117*a**2 + 8*a + 4*a**3 - 8*a.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-24)\/18 - 26\/3. Calculate the common denominator of -47\/4 and ((-36)\/14)\/((200\/63)\/a).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16.6 + -13.6. Which is the closest to -1? (a) k (b) -2 (c) 4 (d) 67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, -0.74, -30\/679 in increasing order.\nAnswer: -0.74, -30\/679, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*t - 1080 = -142*t. Solve 4*g + 4*g + t = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = g - 3*g. Suppose 0 = -4*p - 8, 2*l - 17 = 4*p + 7. Let b(a) = 5 + l*a + 24*a**3 - 23*a**3 + 7*a**2 + 1. What is b(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -k + 7, 4*k + 162 = 4*p + 166 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1330.\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q**4 + 2*q**4 - q**4 + (3*q + q**2 - 3*q)*(-q + q - 2*q**2) + 3*q - 5*q**4 - 2*q**4 + q**4 in the form b*q**3 + c*q**4 + k + j*q**2 + u*q and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.8875119 kilometers?\nAnswer: 887.5119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (29 + -3)\/(-2) + (10 - 4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -319*u**2. Let x(v) be the second derivative of -5*v**4\/12 + 6908*v. Determine x(w(b)).\nAnswer: -508805*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 58*c = -250746. Is c != -5451?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*r**2 - 4 - 12*r**3 + 2 + 14*r**2 to y*r + b*r**3 + c + p*r**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 44*i**3 + i**2 - 3*i - 6. Let y be t(-4). Let l = y + 1894. Round l to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -3*f - 13. Let n(i) = -f*i**2 + 36*i**2 - 21*i**2. Let m(y) = -22*y - 17. Let x(l) = 7*l + 6. Let t(r) = -6*m(r) - 17*x(r). Determine t(n(b)).\nAnswer: 26*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/(-25) + 1 + 3\/(-5). Suppose p = -55*w + 58*w + 18. Let g(k) = k**2 + 9*k + 2. Give g(w).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 376059, 376051, 376037, 376017, 375991?\n\"Answer: -3*a**2 + a + 376061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1094.9705 + 1095. Round i to three dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 772 is divided by 194?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1189, -2351, -3473, -4555, -5597, -6599?\n\"Answer: 20*b**2 - 1222*b + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 8, 388, 171, 4, -3.\nAnswer: -9, -3, 4, 8, 171, 388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -152 + 160. Let x(d) = 267*d**2 - 88. Let s(w) = -401*w**2 + 131. Let f(k) = t*x(k) + 5*s(k). Find the first derivative of f(c) wrt c.\nAnswer: 262*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lilp when four letters picked without replacement from cppliccccclpcppl?\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/10)\/(4\/(-30)). Let x = 19 + -15. Let l = x - 11. Which is smaller: d or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1007134183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 705761 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 (-4 + (sqrt(320)*4)\/sqrt(10) + 4 + 1 + sqrt(288) + 0)**2.\nAnswer: 56*sqrt(2) + 1569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-197)\/(-13) + (-6)\/39. Suppose h*v - 12*v = 9. Suppose 76 = v*q + 2*q - 4*b, -5*b = -5. Is q a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = -64*t + 74*t. Which is bigger: t or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a second in milliseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9954?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-7 - (-1 - 0)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 41421153252 + 3?\nAnswer: 41421153255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/20 and -21\/26776.\nAnswer: 133880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -15560302 divided by 2\nAnswer: -7780151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41*y + 3*y**3 + 1354*y**2 - 1354*y**2 + (y + y + 0*y)*(5 - 5 + 2*y**2))*(-2*y - y + 7*y).\nAnswer: 28*y**4 + 164*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 14, 3, 1\/3 in ascending order.\nAnswer: 1\/3, 2, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/2)\/((39\/910)\/((-13)\/(-65))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 85, 146, 193, 220, 221, 190?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/28)\/((-62)\/434)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/(sqrt(36)\/sqrt(3)))\/(sqrt(256)*-1).\nAnswer: -sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -3, -56\/23, 135?\nAnswer: -56\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 184.0128ms in seconds?\nAnswer: 0.1840128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + -39 + (44 - -19)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(22)\/sqrt(11) - (sqrt(2) + -5 + 0)**2.\nAnswer: -29 + 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*b + 44 - 2*b**2 - 44 to the form w + c*b + v*b**2 and give c.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/7, -6, 0, -0.2, 656273?\nAnswer: 656273","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 11, h: 3}. What is prob of sequence hpp?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/7)\/(2\/14). Let o be (1\/(-3))\/(-5 + h). Let y = 1 + -1. Sort -2\/9, o, y.\nAnswer: o, -2\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -5*t - 11. Suppose 18 = 3*r + 12. Let k(z) = -7*z - 12. Let i(c) = r*k(c) - 3*m(c). Determine i(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 15) in base 12?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0, 2\/25, 1, 7.3, 2\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -162 - -173. Suppose -3*c + j = 2*n, -4*c - 52 = -14*n + 10*n. What is the lowest common multiple of n and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**5\/15 - 11*b**4\/2 - 140*b**3\/3 - 16*b**2 - 7. What is u in n(u) = 0?\nAnswer: -2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1446\/1795 - -2\/359. Let f be (0 - -3)\/(-11 + 18). Which is the biggest value? (a) -5\/3 (b) f (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 8:51 AM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-2) - (-13 + 14)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 42 - -6146220?\nAnswer: 6146262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-14) + (-20)\/28. Let j be m\/((-2)\/(169 - -3)). Let t = -43 + j. Is t a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 3:54 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 3*z + 5. Let u be a(0). Suppose 0 = -2*v + u + 5. Let m(n) = -n**2 - n**2 - 5*n**2 + v*n**2. Let c(f) = -8*f. Give c(m(d)).\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v - 3*v = -28. Solve -v*c = -c + 2*q + 3, 0 = -4*c - 5*q for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*b = -358*b + 306. Is -1\/11310 < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(99)*1 - sqrt(99))\/(2*sqrt(729)).\nAnswer: sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from kkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3\/9258692?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38811, -42741, -46673, -50607?\nAnswer: -54543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 33 + 44. Let k(n) = -n**3 + 12*n**2 - 10*n - 12. Let b be k(g). Let c be b + (-4)\/8*-4. Sort c, -10, -3 in descending order.\nAnswer: c, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43908?\nAnswer: 2, 3, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, v: 3, t: 2}. Give prob of picking 2 s and 1 v.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243*k**4 - 2511*k**3 + 3060*k**2 - 3952*k\/3 + 192 = 0. What is k?\nAnswer: 4\/9, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**2 + 13494*b - 15174003 = 0. Calculate b.\nAnswer: 2249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4913300 to the nearest integer?\nAnswer: 2217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of 7*a**4\/24 - 13*a**3\/6 - 9*a**2. List the prime factors of z(5).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -3. Let j = 10 - b. Suppose 5*z - 4*i - 202 = 29, j*i = 5. Is 12 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-180)*53091\/412930.\nAnswer: -1\/100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 + 34\/3*6\/(-12). Let g = 25.3 + -27. Let u = 1.4 + g. Which is the closest to 0.2? (a) 3\/2 (b) u (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2312003 - 3?\nAnswer: -2312012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1 - 0.3. Let l = 0.4 + s. Which is greater: 0.4 or l?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/46 and 11\/24.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8403818, -8403774, -8403728, -8403680, -8403630, -8403578, -8403524?\n\"Answer: f**2 + 41*f - 8403860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.057 from 2042134530.\nAnswer: 2042134529.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*h**2*z**4 - 39*h**2*z**2 + 12546*z**4 + 4770*z**2 wrt z.\nAnswer: -336*h**2*z + 301104*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 947 a factor of 8297264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 17 = 13. Suppose v*g = -3*f + 1056, -2*g + 514 = 3*f - 548. What are the prime factors of f?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 977 is divided by 971.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - (-4 - -4))*-1. Suppose 0 = -d*y + 5*y - 60. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 940000 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5*2*(sqrt(12)\/(-4*sqrt(4)) - -5*(sqrt(3) + sqrt(3) + 2*sqrt(3) + sqrt(3))))**2.\nAnswer: 990*sqrt(3) + 735091\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11599657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 0*r + u + 20 = 0, -r - 4*u + 4 = 0. Suppose 0 = -4*t + 4, -12 - 25 = -r*i - t. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61840715 != 61840717?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 929 times 1059?\nAnswer: 983811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 8 = -0*i, 4*k + 3*i = 12 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(2\/3)*x)\/x)**(-2)*(x*x**(-3))\/(x\/x**(-1\/2)*x)*((x\/(x\/x**(-5\/4)*x*x))\/(x*x**(3\/2)))\/(x**(-1))**(9\/11) assuming x is positive.\nAnswer: x**(-1685\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**6\/(c\/(c\/(c*c**13)*c))*c**3*c\/(c\/c**4*c) assuming c is positive.\nAnswer: 1\/c","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1166*z**2 - 644*z**2 - 603*z**2.\nAnswer: -81*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78961083 is divided by 122.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -141 + -10. Let d = -133 - m. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.3 * -0.6708\nAnswer: 2.21364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2. Let w(l) = 448*l. What is w(i(k))?\nAnswer: 448*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -80*a**5 + 508*a**4 + 996*a**3 + 472*a**2 + 64*a = 0.\nAnswer: -1, -2\/5, -1\/4, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddc. Give prob of sequence cd.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, k: 2, u: 1, s: 4}. Give prob of sequence uq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1124\/51997?\nAnswer: 1124\/51997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 10032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.5? (a) -3 (b) 782 (c) 0 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -7*z - 33. Let x(o) = -3*o - 17. Let j(u) = -4*l(u) + 7*x(u). Let a(t) = -3*t - 6. Give 9*a(k) + 4*j(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/206 and 6132\/210*10\/72?\nAnswer: 1854","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2344957?\nAnswer: 79, 29683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and 0.053171 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 832612 at least as big as 832606?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = 2*c - 36081. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 53*u**2 + 52*u - 56. What is r(-54)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/49, -55, 2, 0.2, 12, 5 in descending order.\nAnswer: 12, 5, 2, 0.2, 1\/49, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*x + 10*x - 232. Suppose -2*a = 3*p - 97 - 259, x = p + 2*a. Calculate the common denominator of 605\/p - (-3)\/4 and -29\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -7*j + 144. Let b be (-4)\/(-16) - (-39)\/j. What is the second smallest value in b, -1\/4, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -461*v + 465*v + 2904. Let z = v + 2176\/3. Let k = 19\/13 + -151\/130. Which is smaller: k or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5935 - 2825. Let v = -1809 + p. Suppose 5*w = -h + 260 + 14, -5*h - 2*w = -v. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-32)\/56)*840\/(-630)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**0\/o)\/o)**22*o**2\/o*o**(-1\/2))\/((o**0)**(-17\/6)\/(o**(-1\/3)\/o*o*o**(2\/5))) assuming o is positive.\nAnswer: o**(-643\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3285*x - 29 - x**2 - 3246*x - x**2. Let k be j(9). Calculate the greatest common factor of k and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -29.96106\nAnswer: 29.96106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/5659 or 0?\nAnswer: 1\/5659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*w + w + 38, -x = -5. Let k = w - 5. Calculate the highest common divisor of 23 and k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (210148 - 1)*(2\/6)\/(14 + -13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280 = -6*g + 11*g. Does 34 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26681 times -1891.4?\nAnswer: 50464443.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -3*o + 2 + 9\/5*o**5 + 0*o**2 + 0*o**3 + 0*o**4. What is the derivative of j(k) wrt k?\nAnswer: 36*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2222, -4459, -6704, -8963, -11242, -13547?\n\"Answer: -n**3 + 2*n**2 - 2236*n + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48712?\nAnswer: 2, 6089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.4 (b) 1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gel when three letters picked without replacement from gelepeqe?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 708 + -716. Which is the smallest value? (a) 5 (b) -1\/2 (c) i (d) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2957792613?\nAnswer: 3, 17761, 55511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 4*l + 5*l - 76 = 20*s, -122*l - 4*s = -124*l + 56 for l.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -21*y**3 - 41*y**2 + 3*y - 4. Give b(-4).\nAnswer: 672","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in 1\/4, -1.9, 9.3, 0.4, -4\/5?\nAnswer: 9.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 6666*r + 113147. Determine b(-17).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 4\/(-26) + 318\/39.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, s: 2, n: 1}. What is prob of picking 2 s and 1 q?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -6 - b**2 - 7*b**2 + 4*b + 10*b**2. Let p(q) = q**2 - 1. Let m(k) = -l(k) + 4*p(k). Determine d, given that m(d) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/3 (b) 8\/3 (c) -1 (d) -5 (e) -9\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*f**3 - 41264791*f**2 - 847*f - 520069 wrt f?\nAnswer: 30*f - 82529582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of 0 + 0*j**3 + 1\/4*j**4 - 3*j**2 + 0*j. Let u(w) = 7*w**2. Give p(u(z)).\nAnswer: 42*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1525821 is divided by 216?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13.1 and -139166.\nAnswer: 1823074.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 3. Suppose 0 = 5*p - 8*i + 39, 8*p - 7*p - 2*i + 9 = 0. What is the third smallest value in 13\/5, p, j?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -7\/6*g**3 + 0*g + 0 - 33*g**2 + 1\/12*g**4. Give q(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2133*u - 2082*u + 204 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/4 + (-3)\/6. Suppose a = 5*l - 8 + 3. Solve l = 2*i - 5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6257012 to the power of 1\/2, to the nearest integer?\nAnswer: 2501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1984 = 75*s - 13*s. Calculate the greatest common divisor of 1264 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 6 + -15 + -12 + 30?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2. Let b(v) = v**2 + 9*v + 2. Let s be b(-9). Let x(p) = 2*p**s + 7*p - 7*p. What is o(x(l))?\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 5*v**3 + 376*v**2 + 586*v + 10512. Give n(-74).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1131 divided by 377?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -472\/7 + 4262\/63. Which is the nearest to -14? (a) -5 (b) -0.2 (c) u (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 10 - 4)*(35 - 8 + 5)*(-4*i + i + 5*i).\nAnswer: 256*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - h - 92. Suppose -4*c + h = g, 0*c - 3*c + 5*g + 23 = 0. What is the remainder when c is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243.06 rounded to 0 decimal places?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 11 = -2*y - 1, -y + 5*m - 7 = 0. Suppose 0 = y*x - 198 + 15. Suppose x - 21 = 4*h. Solve -2*o - 5*j = -35, 0 = -3*j + 5*j - h for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-42))\/(((-12)\/(-14))\/(-2)). What is the closest to 0.03 in -1, 3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 2*b - 26, -h + 11 = -0*b - 2*b. Let z(g) = -6 + 21*g - 8*g + h. Let l be (0 - (-12)\/(-3)) + 3. Determine z(l).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-2*(-1 + 0)). Suppose 0 = -5*i + r*i - w + 136, 4*i - 276 = -w. List the prime factors of i.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/4*(-3 - 1). Suppose 0 = -n*d + 3*d + 16. Let k(i) = 2*i - 4. Let a be k(3). Solve -a*f = -5*f - 2*s - d, 2*f = -4*s for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l + 2*l - 50. Suppose a + 0*a - l = 0. Calculate the greatest common divisor of 200 and a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2864.6 less than -0.1?\nAnswer: 2864.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (43\/(-20))\/((-2)\/(-1394)). Let x = a + 1499. What is the common denominator of 267\/(-30) + (-3)\/15 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 3*l**2 + 5*l + 5. Suppose 3*j = 8 + 19. Suppose s + 80 = -j*s. Is b(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, e: 3, m: 2, f: 6, o: 2}. Give prob of picking 1 m and 1 e.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/20 and (-78)\/36 + -2 + 2?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w**2 - 2*w**2 - 2*w**2 - 4*w**2 - 3 + 3 + (-2 - w**2 + 2)*(5 - 6 + 0) + w**2 + 0*w + 0*w)*(1 + 0 + 1) to m*w + n*w**2 + r and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*q - 17100 = -305*q - 51*q for q.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109371643.\nAnswer: 109371643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*r**3 + 78 - 79 - 3*r**3 + 8*r**3 + 6*r**4 + 2*r as n*r + w*r**3 + d + u*r**2 + o*r**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**5 + 50*b**4 + 114*b**3 - 154*b**2 - 224*b + 216 = 0. What is b?\nAnswer: -2, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from vjvjjjjjj?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1480 - 1425 = -4*r - 5*s, 0 = 3*r + 43*s + 316 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 184*s - 352. Calculate o(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/22)\/v)\/(v\/(v*v**(-1\/6)))*(v*v\/v**(-16\/9))\/v**8)**(-2\/113) assuming v is positive.\nAnswer: v**(1058\/11187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 138a25 (base 11) in base 2?\nAnswer: 110100111100011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -279.47 + -2.53. Let x = 312.2 + n. What is x rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56 + 56 - 51*y to the form r + b*y and give b.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 287 + 780*j - 287 to the form z + g*j and give g.\nAnswer: 780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = k - 2*q, 5*q + 5 = 10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4648000 rounded to the nearest one hundred thousand?\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1855 times 5?\nAnswer: -9275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -53 + 267. Let b = 3636\/17 - h. Put b, 1\/4, -0.3 in descending order.\nAnswer: 1\/4, b, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 727 - 1156. Let u = d - -4713\/11. Let k(h) = -30*h - 631. Let f be k(-21). Is f smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13880 and 9369?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -540*j**3 - 13756 + 13756 - 8*j**3 + 2 - 2 + (-5*j**2 + 3*j**2 + 3*j**2)*(-3*j + 3*j - 2*j) to k + w*j**3 + z*j + m*j**2 and give w.\nAnswer: -550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 13*d = 900. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5*q = 28987, 25*f - 22*f - 2*q = 21735. What are the prime factors of f?\nAnswer: 7243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355664788777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 988620133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3587126470383 - 4\nAnswer: -3587126470387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/3, -2\/7, -116, -1\/11, -5?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g**2 + 9*g + 2. Let r be h(7). Let x = -251\/3 - r. Which is the second smallest value? (a) x (b) -1\/11 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 79\/(-11) + 11 + -4.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*v = 516 + 456 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -43721478.3 rounded to the nearest 100000?\nAnswer: -43700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, -1\/4, 1, -1075, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00164432185 to seven decimal places.\nAnswer: -0.0016443","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + 3 + (sqrt(931) - (2 + sqrt(931))))**2.\nAnswer: 14*sqrt(19) + 932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjj. What is prob of sequence jjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) -14 (c) -18.8 (d) 4 (e) -0.09 (f) -0.07 (g) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -26*s**2 + 71*s**2 - 191*s**2 + 5*s + 75*s**2 + 69*s**2. Let a be 16\/10 - 2\/(-5). Let m(d) = -5*d**a - d + 2*d + 4*d**2. Give b(v) - 3*m(v).\nAnswer: v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67 + 819*k - 85 - 407*k + 494*k.\nAnswer: 906*k - 152","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1860617063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -185*v**4 - 27*v.\nAnswer: -2220*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2183 - 2188. Put 0.15, o, -0.1, 0.11 in descending order.\nAnswer: 0.15, 0.11, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*j**6 + j**5 - 7150*j**4 - 520689*j**2?\nAnswer: -720*j**3 + 60*j**2 - 171600*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 11) to base 6\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -187781874*t**3 + 10*t - 6641390.\nAnswer: -1126691244*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -53630*m - 1211. Let a(k) = -177*k - 4. What is -1211*a(y) + 4*l(y)?\nAnswer: -173*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 3135415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d - 78. Suppose -255 - 239 = 19*a. Let v be s(a). Suppose -5*u + 4*m + 9 = -0*m, 4*m - 6 = 2*u. Solve 4*q = v, 5*k + q + 0 = u for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-124 - -126)\/(4\/6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22131990 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/1170 and -41\/45045.\nAnswer: 90090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -7*m**2 - 63*m + 6. Let r be t(-7). What is the greatest common divisor of 832 and r?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 != 494\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 11493382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -6, 3, -4\/3, -3, -29?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(3\/2)*a*a\/((a\/(a\/(a*a\/a**(-3\/4))*a))\/a))**(-21\/8)*a\/(a\/(a*a**(1\/3)))*a*a**0*(a**(-4\/5)*a*a)\/a**4 assuming a is positive.\nAnswer: a**(-1169\/480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 3, z + 595 = -f + 5*f. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 12542\/11 and 1141 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d - 100. Let i be v(38). Suppose 3*o - 365 = -5*s, -4*s - 2*o + 428 = 138. What is the highest common factor of i and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((208\/(-143))\/8)\/3.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3. Let b(y) be the third derivative of -y**4\/24 - 7*y**3\/6 - 3*y**2. Suppose 9 = 3*a + 2*a + 4*r, 2*a - 4*r - 26 = 0. What is a*o(z) + 2*b(z)?\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*r - 1 = 0. Let j be (1\/4)\/(r\/(-12)). Differentiate 7 + 7*l**2 - 7*l**2 - 5*l**j with respect to l.\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*x**2 + x**2 - 9*x**2 + 0*x**2 to the form s + l*x**2 + j*x and give l.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 1:27 PM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 6*z**2 + 3*z - 4. Let s = -14 - -15. Let a = 2 + -7. Let y(n) = n**2 + n - 1. Calculate a*y(i) + s*u(i).\nAnswer: i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1553 - 2*z**4 - 1539 - 3*z**2 + 4527 - 1527 + z**3 - 3*z to the form m*z**2 + w*z**4 + o + l*z**3 + g*z and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34068)\/(-14195))\/((-132)\/15)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.5 - 1.5. Let m be ((-3)\/(-6))\/((-1)\/6). Which is the smallest value? (a) m (b) p (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, q: 1, g: 5, n: 4, s: 1, l: 4}. Give prob of picking 1 s and 2 n.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1711*-0.132\nAnswer: 225.852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10596322421+-589.9\nAnswer: 10596321831.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 12*t**2 + 7*t - 48. Let w be r(12). Calculate the greatest common factor of w and 342.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 96214036.\nAnswer: 865926324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22702?\nAnswer: 2, 11351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b - 41?\nAnswer: -5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = a + 246, -3*b + a = 4*a - 234. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 886090341.9 rounded to the nearest 1000000?\nAnswer: 886000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*c = 4*o + 22*c + 44, 0 = 6*o + 143*c - 146*c + 108 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, l: 4, o: 1, w: 2}. What is prob of picking 3 l?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 198 and 7456086.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92217.\nAnswer: 3, 59, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of k*s**2*v**3 + 124*k*s**2 + 2*k*v**2 + 968*s**2*v**3 + v**3 wrt k?\nAnswer: s**2*v**3 + 124*s**2 + 2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 3*j + 7 = 2*j, -j - 3 = -2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 328766820 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 18*h**2 - 104*h - 251. What are the prime factors of l(34)?\nAnswer: 17021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1458917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1930, 1803, 1604, 1345, 1038, 695?\n\"Answer: 2*x**3 - 48*x**2 + 3*x + 1973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 8*k**2 - 7*k - 6. Let y be m(-1). Suppose 8*p = -y*p + 255. Solve 3*c - 23 = -3*u - 5, 5*u - p = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-60)*-3*2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 2) to base 6.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/10933 or 1?\nAnswer: 2\/10933","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.059 + 0.199. Let q = c + -0.23. Which is greater: q or -1\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*g*w - 567*g + 355*w**3 - 4 wrt w?\nAnswer: -4*g + 1065*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 3:03 AM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (2 + 10\/(-3))*(-502146)\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91.9 rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**2. Let k(s) = -84*s - 8. Let h(t) = 1. Let u(d) = -8*h(d) - k(d). Determine u(p(q)).\nAnswer: -168*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 60069?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106194772.\nAnswer: 2, 23, 1154291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 2*q**2 - q)*(q - q + 2*q**2) + (-5*q**3 - q**3 + 2*q**3)*(5 - 1 - 2)*(2*q - 3*q + 2*q)*((1 + 1 + 0)*(3 + 0 - 5) - 1 + 1 + 1 - 7 + 5 - 27).\nAnswer: 260*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5639 - 5637. Are 85\/84 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2612, 5632, 8634, 11612, 14560, 17472?\n\"Answer: -s**3 - 3*s**2 + 3036*s - 420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16469 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1404838 is divided by 14482?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + v - v)*(-4 + 3 - 1) + 2 - 2 + v + v + 3*v - 2*v + (0 + 2*v + 0)*(3 + 2 - 3) + 3 - 3 + 4*v + (-20*v + 19 - 19)*(-4 - 5 + 6).\nAnswer: 67*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(-15) + 345\/(-45)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*y**5 - 53*y - 49*y + 61*y**5 + 44*y**5 wrt y?\nAnswer: 1600*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -41, -1, 4, 49, 0 in ascending order.\nAnswer: -41, -3, -1, 0, 4, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.161024 from -28.61.\nAnswer: -27.448976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1405 - -1397. Suppose -6*o + 12 = -10*o. What is the smallest value in t, o, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18707 divided by -6\nAnswer: 18707\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*i - 16, -2*j = 5*i - 9 - 19. Solve -2 = 3*h + j for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31434 and 1674?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*v + 9 = 0, -2*v - 24 = -4*r - r. Solve -r*q - 6 = -3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(1\/33)\/a)\/a)\/(a*a\/a**(-6)))\/(a**(-25)*a*a\/(a\/(a\/(a*a\/((a**(-9)*a*a)\/a))))) assuming a is positive.\nAnswer: a**(760\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 528213913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**3 - 2*b**2 + 3*b + 3. Let a be m(-3). What is the tens digit of a*(-5)\/((-45)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ve when two letters picked without replacement from {e: 4, v: 16}?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*c = -0*z + 17, 2*z = 4*c + 20. Suppose r - 2 = t - 5, -2*r = -4*t + z. Is (-453)\/r + (-1)\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*p = 27*p - 3*l - 4317, 2*l + 3238 = 3*p. Is p a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 56*v + 351. Calculate z(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m. Let a(t) = -322918*t**2 - t. Give a(o(w)).\nAnswer: -322918*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 4*g, -4*w + 6*g = 8*g. Solve -1 = z - w*z, -4*r - 3*z + 1 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 18. Which is greater: y or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(3\/8)\/s)\/(s*s**5))**1*s**(-1)\/s*s*s\/(s**(-4\/5)*s)*s**(2\/3)*(s\/(s**(1\/8)\/s))\/s assuming s is positive.\nAnswer: s**(-317\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48 - 45. Suppose -m + 17 = 3*c - h*m, 0 = 5*c - m - 19. What is the first derivative of -8*n**c + 22*n**4 + 8*n**3 - 29 - 18*n**4 wrt n?\nAnswer: 16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -8, -27, -5 in decreasing order.\nAnswer: 1, 0, -5, -8, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 3*z + 0*z)*(58*z**3 + 8870*z - 8870*z).\nAnswer: 116*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 344 (base 8) to base 7.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ogoooomotttttiogttoq. Give prob of sequence oi.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -3. Suppose 23 = 5*g - 27. Calculate the least common multiple of g and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 220622, -3, 63, 5, 3 in decreasing order.\nAnswer: 220622, 63, 5, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r, -3*r = -7*g + 3*g + 40. Let u = g + -8. Factor 2\/13*j**u - 12\/13*j + 18\/13.\nAnswer: 2*(j - 3)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 - 48\/(-10))\/((-1)\/(-5)). Suppose f - k = -2*w, -5*w + 12 = -w. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 108*m - 216*m - 40*m**2 + 109*m. Let v(q) = -8*q. Calculate p(v(k)).\nAnswer: -2560*k**2 - 8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-0.1209375\nAnswer: 0.03628125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2. Suppose -3*n + 6 = -18. Let o(l) = 12 - 12 + n*l. Calculate z(o(u)).\nAnswer: 64*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 295372278 and 1462239?\nAnswer: 295372278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of k**4\/4 + 2*k**3 - 5*k**2 - 2*k + 2010. Calculate m(-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5728 a factor of 1213070235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - 1\/((-4)\/(-2))*2. Solve 7 = -p - 2*g, 9*p + a*g + 8 = 8*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*-2)\/sqrt(6))**2 - sqrt(396) - 3*(sqrt(77)\/(sqrt(14)\/sqrt(2)) + (sqrt(110)*-2)\/sqrt(10)).\nAnswer: -3*sqrt(11) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 422119 and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 100561271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58 or -589\/10?\nAnswer: -589\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h**2 + 2*h. Let s be 0 + 2 - 0\/(-6). Let y be 44\/14 - 3\/21. Let l(g) = 3*g**2 - 3*g. Let x(b) = s*l(b) + y*v(b). Give x(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wu when two letters picked without replacement from wuujuwjwujjju.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a week in minutes?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 + 10*s**2 + 2*s - 10.\nAnswer: -2*(s - 5)*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 4*v + 6. What is l(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -81*l + 19*l - 310 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 - z + z)*(235*z - 1 - 5*z**2 - 635*z + 311*z).\nAnswer: -10*z**4 - 178*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -187475 and -758.\nAnswer: 142106050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 3*k**2 + 5*k + 4. Suppose 0 = -2*q + 4*q - 8. Let m be h(q). Suppose m*b - 32 - 16 = 0. Solve t = -3 + b for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -353*c**2*s**4 - 2*c**2*s**2 - 16*c*s**3 + 2*c*s**2 - 8*c*s - 14*s**2 wrt s.\nAnswer: -8472*c**2*s - 96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -9*f**5\/70 - 121*f**4\/21 - 457*f**3\/21 - 32*f**2 - 320*f + 4. Find z, given that i(z) = 0.\nAnswer: -224\/9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1283 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 234771 and 15201?\nAnswer: 1689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -236\/21 - 423\/7. Let l = y + 71. Let w = 0.1671 + -0.4071. Which is bigger: w or l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11303 - 121*c**2 + 11303 + 120*c**2 - 5*c.\nAnswer: -c**2 - 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -4*j - 10391, 0 = 3*j - 7*j + 20. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 11*j - 6*j - 20 = 4*j, -5*x = -2*j + 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fwc when three letters picked without replacement from {f: 2, c: 1, w: 1, k: 2, a: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 4*n = -64. Let g be n\/12*(-6)\/(-4). Let m(l) = l + 1. Let r be m(3). Solve g*h + r*x + 12 = 0, 0*x - x - 2 = h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*p**3 + 13*p**3 + 8*p**3)*(-229 + 231 + p - 12*p) to the form s + m*p**4 + u*p**2 + j*p + r*p**3 and give m.\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -1\/20*d**4 - 2 + d + 0*d**2 + 0*d**3. Let o(i) be the first derivative of y(i). Determine l, given that o(l) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/84 and 93\/308.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 515 is divided by 29.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 6*j. Let p be r(1). Let z be (-8)\/12 + 4\/p. Suppose 4*y - 2*y + 2640 = z. Round y to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**3 - 54*q**2 + 54*q - 56. What is m(-28)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-1)*15 - 0. Suppose -4*j = -y - h, 4*j + 3*y - 19 = -0*j. Suppose j*s - 54 = -z, 3*s - s - z = 24. What is the remainder when 25 is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 515*k - 3115. Calculate n(6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5624573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 4*o + 2 - 4, 3*o - 5 = -2*i. Solve -3*t + 5 + i = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**2\/2 + 216*z - 23328 = 0?\nAnswer: 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 9:29 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 675251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/(-30) - (-53)\/5. Suppose -s = -3*y + y - 4*h, 2*h = -3*y + 15. Let q(j) = j - 2*j + y*j. Let d(v) = -2*v. What is q(d(n))?\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 408 divided by 8\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5108459 or -5108460?\nAnswer: -5108459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of m**4\/24 + 2*m**2. Let q = 61 + -293. Let w be (-2)\/10 + q\/40. Let j(g) = -5*g - 1. What is w*y(s) - j(s)?\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 7*k + 5 - 51, 12*k - 14 = 4*z - 2*z + 94 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 3\/5, 41, 1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012111210222 - -11?\nAnswer: -1012111210211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jcdhjddcdhhjdddcddd. What is prob of sequence jcj?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**2 - 4. Let v be s(-2). Calculate the highest common factor of v and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.0364115 millennia?\nAnswer: 36.4115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -8*y + 4. Find l such that -y + 3\/2*l + l**2 = 0.\nAnswer: -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80336716121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 106180 and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 989952359.\nAnswer: 11, 89995669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o. Let u(y) = -y. Let h(q) = a(q) + 5*u(q). Let n(c) = -28*c**2. Determine h(n(i)).\nAnswer: 56*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/1170, 12\/7, 0, -2\/5 in decreasing order.\nAnswer: 12\/7, 0, -1\/1170, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 992.7996 millennia in years?\nAnswer: 992799.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + -10 + -8 + 8 + 1 + 4?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 1)*(-3*g**4 + 3*g**4 + g**4) - 5777*g**4 - 8544*g**4 - 2885*g**4 + 4874*g**4 to o*g**2 + d*g**4 + v*g**3 + l*g + y and give d.\nAnswer: -12334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19190557 is divided by 277.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of 2\/3*o**3 - 1\/3*o**4 - 2\/5*o**5 - 2*o + 0 + 0*o**2. Let f(k) = 0. Calculate k.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1020 + 377 - 160 = -47*d + 419 for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -25186*a**5\/3 - 25180*a**4 + 176356*a**3\/3 + 125888*a**2 - 151206*a + 108 = 0. Calculate a.\nAnswer: -3, 9\/12593, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 6 = -2*y, -2*w + 0*w - 6 = 4*y. Solve 10 = -2*p, -5*f + p - 21 = -w for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 2*k**2 + 14*k + 23. Let a be i(-4). Put 12, a, 2 in increasing order.\nAnswer: a, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -1, 4, 2, -99?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20157.\nAnswer: 3, 6719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 100934156 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**5\/13 - 1390*f**4\/13 - 37082*f**3\/13 - 295034*f**2\/13 - 418536*f\/13 + 2336040\/13 = 0.\nAnswer: -10, -9, 2, 721","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2532*j + 2734*j = 7181*j - 97706 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + 4 + -8 + (-1 + 11 - 7).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15.599999922 + -15.6. Round p to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45.3 - 47.3. What is the closest to -5 in w, -0.5, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*h = 26, z + 3*h - 7 = 4. Let t = 14 - z. Calculate the smallest common multiple of t and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1537 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 8 - 7 = 0. Solve 0 = -y + 3*k + 10 + r, 0 = -y - 2*k - 10 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.5, 2\/11, -8, -3, -0.042?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x + 22 + 6. What is the greatest common divisor of x and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i - 647787. Let l(j) = -63*j. Calculate g(l(n)).\nAnswer: -126*n - 647787","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1648.08 grams to kilograms.\nAnswer: 1.64808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.8 and 435.\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 12. Let a be 16\/(-5)*24\/(-14). Let f = -26\/5 + a. Sort x, f, -4 in increasing order.\nAnswer: -4, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -7723944, -5.\nAnswer: -7723944, -21, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3 + x**3 - 8*x**2 + 7*x**2 + 0*x**2 - 3*x. Let k be p(3). Let m(j) = j + 6*j - j**2 - j**3 - k*j. What is m(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 26*g**2 + 9*g - 50. Let h be x(-26). Let t = 330 + h. Calculate the greatest common divisor of 414 and t.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -191 divided by 2311?\nAnswer: -191\/2311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.4 - 0.4. Let c = -6 + s. Let y = -5.0005 - c. What is y rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 - 0.8. Let x = 0.03 - 1.03. Which is the third biggest value? (a) -0.4 (b) x (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -0.13\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/364816859 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 155604859 to the power of 1\/2, to the nearest integer?\nAnswer: 12474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 x when two letters picked without replacement from najxnndnn?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 44 - 55 = a, -3*y - 13 = -a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 89015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8330715 > 8330717?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, h: 3, y: 1}. What is prob of sequence hgy?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -g + 4 + 2, 0 = -5*g for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) - (-1 + sqrt(343))*-5 - (sqrt(343) - 2*(sqrt(343)*-1 - sqrt(343))))**2 + ((sqrt(343) + -1 + 5)**2 - (2*(sqrt(343) + 1))**2).\nAnswer: -649 - 70*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 5*x**3 - 31*x**2 + 11*x - 8. Let k be u(12). Suppose -4*z - k + 29208 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 0. Let m be (-10)\/4*4\/15. Which is the closest to m? (a) w (b) -0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3341442366 to the power of 1\/4, to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -1031?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -408 = -67*u - u. Solve m - 2*w = u, 0 = -102*m + 105*m - 3*w - 12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9967 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 9 + 33)*(0 - 2*k**2 + 0).\nAnswer: -64*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = 156 - 816. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104, 111, 120, 131?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**3 - 42*t**2 - 39*t + 21. Let k be f(-20). Suppose 24*q = -4*j + 21*q - k, -3*q = -3*j + 15. Solve 5*o - l - 21 = -0*o, 0 = 2*o - j*l - 2 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1127 (base 9) to base 12\nAnswer: -597","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, j: 11, v: 2, u: 3, d: 2}. Give prob of picking 1 c, 2 j, and 1 u.\nAnswer: 55\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 295 (b) -1186583 (c) 0 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - -1005142.\nAnswer: 1005141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 4*w + 10, 0 = -3*w + 5*y + 22 - 21 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -50087293 and -3316137?\nAnswer: 46771156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiwiwiwwiiiiiiwwi. What is prob of picking 1 w and 1 i?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 58 = -2*c - 8, c - 4*n = -33. Let d be c\/(-6) - 1\/2. Suppose d*o + 5 = 4*j, -4*j + 8 = -4*o - 0*j. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s - 2*s + s - 11*s to o + q*s and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 384 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3084055013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-1216)*2\/32?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20439)\/(-4542)*(12\/13)\/3. Determine i, given that 4\/13*i**3 - v*i + 0 - 24\/13*i**2 + 8\/13*i**4 - 2\/13*i**5 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22903, 22894, 22885, 22876, 22867?\nAnswer: 22858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.46733 take away -184491?\nAnswer: 184491.46733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1428 and 238?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.6 + -5.4. Let g = m + 5.6. Let q = -0.74 - -3.74. Which is the second smallest value? (a) q (b) -3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v + 14 - 52*v**3 - 14.\nAnswer: -52*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 less than -0.95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 39910320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3600 and 525?\nAnswer: 25200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 3153*k + 471364. What is q(-143)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 568*p**2 + 35*p + 96. What are the prime factors of o(-5)?\nAnswer: 3, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179*v**3 + 3*v**2 - 3*v**2.\nAnswer: 179*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 i when three letters picked without replacement from {t: 1, i: 2, u: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -53*z**3 + 952*z**2 - 926670 wrt z.\nAnswer: -159*z**2 + 1904*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2099*s - 2104*s + 5*m + 105, -5*s - 2*m - 2*m - 57 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + f - 2. Let q be g(2). Let n be (353\/51 + -7)\/((-2)\/(-3)). What is the third biggest value in -2\/19, n, q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 + -43. Put -1, 3, m, 1 in ascending order.\nAnswer: m, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1*6\/(-27))\/(30\/(-45)). Let m(z) be the second derivative of z - 1\/6*z**4 - v*z**3 + 1\/10*z**5 + 0 + z**2. Factor m(u).\nAnswer: 2*(u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 506*s - 7086. Calculate m(14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 5*m - 1. Let h = 14 - -1. Let b = -16 + h. Give u(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 + 42. Let m be (p\/6 + 1)*(-24)\/(-16). Let v = 1 + 1. Solve -q = m*q + 3*b + 6, 0 = -q - v*b for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 1:49 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2 + 68*x + 23. Let s be q(-34). Calculate the smallest common multiple of 390 and 184\/s*1*2.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 83*c**2 + 5*c + 8. Let m(z) = -83*z**2 - 5*z - 9. Let s(h) = 2*m(h) + 3*u(h). Is 28 a factor of s(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 - 210264*y + 1051395.\nAnswer: -3*(y - 5)*(y + 70093)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -46680 divided by -3112\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -314 + 310. Suppose 0 = -3*a - 6, -5*c - 46 + 19 = -4*a. Let q(l) = -l - 4. Let n(h) = -4*h - 13. What is c*q(t) + x*n(t)?\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27106?\nAnswer: 2, 13553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*a. Suppose 4 = 2*n - a. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112323302 (base 4) to base 16.\nAnswer: 16ef2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 639*n - 9 + 2714*n.\nAnswer: 3353*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1113156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z - z + 2*z. Let m(a) be the second derivative of a**4\/4 + 7*a. Calculate q(m(l)).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 261749 <= 261748?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = z + 4*z. Solve -j - 2*j + z = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3+13492\nAnswer: 13489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/((a\/(a*a*a\/(a*(a**(-8)\/a)\/a)*a*a*a*a*a))\/a)))**21*(a**(-4\/3))**(-23\/2) assuming a is positive.\nAnswer: a**(-1025\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 7*d**3 - 5*d**2 - 4*d + 3. Let g be r(-5). Suppose 44*k = 83*k + 67080. Let p = g - k. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1769 divided by 30?\nAnswer: 1769\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151 + 127 - 736*h**2 + 23 - 69*h**2.\nAnswer: -805*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -2100012122222002?\nAnswer: -2100012122222000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9.49 < -58736\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 82181180 - 2.9\nAnswer: 82181177.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t**2. Let b(s) = -13*s**2 - 23. Let d(q) = -27*q**2 - 52. Let u(w) = -7*b(w) + 3*d(w). Calculate u(h(m)).\nAnswer: 160*m**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b - 17. Let p(r) = 157292*r**2. Give z(p(a)).\nAnswer: 314584*a**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 12:19 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 3*i - 10 + 17 = -5*u - 28, -32 = -7*i + 3*u for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-4)*(-9 - -3). Let g(z) = 12*z - 3. Let a be g(h). What is the highest common factor of 3 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of 0 + 0*p**4 + 1\/7*p**2 + 1\/140*p**5 + 17*p - 1\/14*p**3. Factor y(s).\nAnswer: (s - 1)**2*(s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - q + 6. Let b be (-3 - (-3)\/1)\/2. Let l be z(b). Let k be -2 - 8*(-21)\/l. Solve -k = -3*x + 5*o, 3*x + 3*o = -9 + 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -5*c + 8. Let g be c - -2 - 60\/14. Let a = -0.1 - 1.9. What is the nearest to g in a, 0, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 990597989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = -4*a + 174. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 4)*(-2 + 3 + 0)*(-31 + 28 + 659*l - 1810*l).\nAnswer: -2302*l - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10620)\/288)\/(10\/(-8))*(-2 + 0)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1439603.5 times 0.5?\nAnswer: -719801.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 4*n = 180. Calculate the common denominator of 3\/8 and (n\/(-99))\/((-2)\/6).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fukr when four letters picked without replacement from {o: 5, f: 1, k: 1, u: 5, p: 1, r: 4}?\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -69\/425 - -7\/25. Sort g, -43, -3\/8, -3\/4 in decreasing order.\nAnswer: g, -3\/8, -3\/4, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -i**5\/20 - 2*i**4\/3 - 4*i**3\/3 - 7*i**2\/2 - i - 87. Let s = -12 - -5. Let w be l(s). Solve d - 5 = -w*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 3*t = 5*t + 28, -4*b - 19178*t - 22 = -19177*t for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1367 - 25563?\nAnswer: -27152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(117) + -1)*4 - (sqrt(117) - 6*sqrt(117)*-1)) + 0)**2.\nAnswer: 1800*sqrt(13) + 26725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - g - 30 = -5*z, 0 = 5*g + 5*z - 50. Let q(c) = -c**3 + 11*c**2 - 11*c + 17. Let o be q(g). Solve 2*v - 3 - o = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 411204 (base 5) to base 10.\nAnswer: 13304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-1))**(2\/9)*z**(-3)\/z**(-3) assuming z is positive.\nAnswer: z**(4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 at most -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 145 and 38281885?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2730672 less than -0.106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4 + 4 - 5*d. Suppose -6*o = -2*o + 72. Let v(g) = 18*g + 13*g + 17*g - 49*g. Calculate o*v(t) + 4*b(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ono when three letters picked without replacement from {o: 5, n: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -l**3*q - 30060541*l**3 + 6219793*l**2*q with respect to q.\nAnswer: -l**3 + 6219793*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000102121 rounded to 7 decimal places?\nAnswer: 0.0000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 12527800 and -0.6?\nAnswer: 12527800.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -331122 (base 4) in base 6?\nAnswer: -30110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q. Let c be (-36)\/(-10) - (-2)\/5. Let n(u) = u**3 - 5*u**2 + 6*u. Let d be n(c). Let x = d + -4. Give z(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 20546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*y**5 + 518*y**3 - 69*y**2 - 7 wrt y?\nAnswer: 120*y**2 + 3108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46*d**6 - 2*d**4 + 42*d**3 - 27*d**2 - 6*d - 1 wrt d?\nAnswer: -5520*d**3 - 48*d + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 111595\/366?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*l**2 - 3*l**2 - 2*l**2 + (-1 + l + 1)*(0*l - 4*l + 2*l) + 0*l**2 - 13*l**2 - 3*l**2 in the form v*l + m*l**2 + s and give m.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**6\/k*k*k\/(k\/k**(-2\/7))*k*k)**(-4\/29)\/(k**(-8)*k\/k**(-9))**40 assuming k is positive.\nAnswer: k**(-16456\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 72 - 67. Sort l, -0.4, -3\/5.\nAnswer: -3\/5, -0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v. Suppose -y - p = 0, -4*p - 9 - 36 = -5*y. Let o = y - 1. Let r(u) = -o*u**2 + 8*u**2 - 3*u**2. Determine z(r(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(-2\/5)*d**(-1\/9)*d*(d**(-1\/3))**(-9) assuming d is positive.\nAnswer: d**(238\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(2\/(-2))*(-3)\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/2 + 171*q**2\/2 - 3612*q - 3698.\nAnswer: -(q - 86)**2*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-72*z**2 + 44*z**3 + 72*z**2)*(39 - 39 + 3*z) + (-z**4 + 2*z**4 - 3*z**4)*(1 - 13 - 9).\nAnswer: 174*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.354 rounded to zero dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 - -43. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (70\/(-63))\/((-345)\/(-138))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/6, 10, 5, 4\/39, 20, -5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5477060 a multiple of 622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 9 = 7*b. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2. Let t(j) = 2*j + 10. Let f be t(-5). Let p(o) = 0*o + 10*o**2 + f*o - 7*o**2. Calculate p(k(w)).\nAnswer: 3*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24104 and 483713?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((22 - 10) + -6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 672444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 2*j**2 + j. Calculate the remainder when ((-144)\/6 + -11)*-4 is divided by d(4).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j*(j*j**(-9))\/j))\/(j\/(j\/(j\/(j**15*j)))*j))\/((j\/(j\/j**(2\/5)))\/j*j)**34 assuming j is positive.\nAnswer: j**(42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -391988+-511550.8\nAnswer: -903538.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -m**3\/3 + 8*m - 2. Let d(i) = -15*i**2 - 2. Give l(d(v)).\nAnswer: 30*v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16715229 is divided by 63.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, t: 1, s: 4, l: 1}. What is prob of picking 3 o and 1 t?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h. Let m(z) be the second derivative of -z**4\/6 - 11*z. Give m(l(o)).\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (939773*r - 4351*r**2 - 939773*r)*(-2 + 2 - 2*r**2).\nAnswer: 8702*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 52*g - 32. Let x(z) be the first derivative of -46*z**2 + 22*z**2 - 5*z + 61 + 28*z**2. Determine 5*n(a) - 32*x(a).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -259 - -133. Suppose 2742*r - 2744*r = 178. Let w = r - z. Is w even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -65*b. Let v(r) = 9*r. What is v(d(j))?\nAnswer: -585*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7438119?\nAnswer: 3, 13, 269, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 358 + -344. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 30\/10 + (-938)\/1. Let f = 1823\/2 + h. Calculate the common denominator of f and 37\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -265, -461, -587, -643, -629?\nAnswer: -545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -780479.2 to the nearest one hundred.\nAnswer: -780500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 11*n + 389. Let b be y(-33). Solve 2*h = 5*q - 10, -4*h = 5*q + b - 6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**3 - 8*s**4 + 10*s**4 + 5*s**3)*(-s - 4*s + 3*s).\nAnswer: -4*s**5 - 4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 1639*r - 1634*r - 205*a, -3*a = -3*r - 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2776189519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 306254 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 7*c. Determine f(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05139228743 to 3 dps.\nAnswer: 0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 505.08255217 take away -3.4?\nAnswer: 508.48255217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y**3 + 12*y**2 + 48*y + 66. Let r(c) = 4*c**3 + 12*c**2 + 48*c + 67. Let a(q) = -2*r(q) + 3*v(q). Determine z so that a(z) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 87248.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 9*z + 14. Let j be g(-2). Is 2 + j + 0 + (-156)\/(-6) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45792 to the power of 1\/2, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5219 is divided by 2535.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wmplsmp. What is prob of sequence ppml?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -208, 1, -4 in descending order.\nAnswer: 5, 1, -4, -208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**5\/7 - 9*l**4\/7 + 6*l**3\/7.\nAnswer: 3*l**3*(l - 2)*(l - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5459137751 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -418, 4, 4\/103, 0?\nAnswer: 4\/103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 61, 120, 189, 274, 381, 516, 685?\n\"Answer: d**3 - d**2 + 55*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5*sqrt(80)\/sqrt(10).\nAnswer: 3 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 20 = -4*k. Suppose 0 = 15*y - 126 + 1341. Let d = y + 85. Solve -d = -3*m - i - k, -3*i + 11 = -5*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l**2 - 7. Let r = 2393 - 2400. Let a(u) = 1 - 3*u**2 - 1 + 5. Determine r*a(q) - 5*z(q).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.01 + 5.01. Let v = 19 - 19.02. Let g = 0.07 - v. Which is the third biggest value? (a) g (b) d (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 26694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3 + 380*k**2 + 20114*k + 190104.\nAnswer: 2*(k + 12)*(k + 89)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -9.065459?\nAnswer: -5.065459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, u: 4}. What is prob of picking 3 u?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in nine tenths of a meter?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/sqrt(396).\nAnswer: sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1822215 and 1491.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 48934 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: Is 4466458327 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -49, -79, -119, -169?\nAnswer: -229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 226227430, 226227422, 226227412, 226227400, 226227386, 226227370, 226227352?\n\"Answer: -h**2 - 5*h + 226227436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 4056.4 micrograms?\nAnswer: 0.0000040564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*v**3*y + v**3 - 245261*v**2*y + 2320*v**2 + 48*v + 5*y - 20 wrt y.\nAnswer: 11*v**3 - 245261*v**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.1, 0.07, -1\/2, 2\/15, -1 in increasing order.\nAnswer: -2.1, -1, -1\/2, 0.07, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 35 - 342*b**2 + 326*b**2 - 35. Let r(f) = 9*f. Give r(q(c)).\nAnswer: -144*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4354*y + 13. Is l(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2311 + -2308. Solve g + u = 0, a + 25*g + 6 = 24*g for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -570 - -576. Suppose o*h - 9*h = -3*y + 4320, -5768 = -4*y + 2*h. Does 43 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-2))\/(z\/z**6)*(z**(-1)\/z)\/z**(1\/6))\/((z**(-1))**(3\/8)\/(z**3\/(z*z**(-4)*z))) assuming z is positive.\nAnswer: z**(173\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1350076)\/234 - 36\/81. What is n rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 8*w**3 - 4*w + 1. Let x(h) be the first derivative of -h**4\/4 + h**2\/2 - h + 1995. Determine -b(i) - 4*x(i).\nAnswer: -4*i**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awlpppawllauapap. Give prob of picking 1 p and 1 u.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z - 39. Let s(o) = 2*o + 20. Let g be 286\/12 - (385\/(-42) - -9). Suppose -47*c + 51*c = -g. Let d(w) = c*v(w) - 13*s(w). Differentiate d(f) wrt f.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-2)\/10)\/((-14)\/175).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 10*n - 25. Let d be p(6). Which is smaller: -157 or d?\nAnswer: -157","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v**2 - 218*v + 2709. Let t be j(80). Calculate the greatest common factor of t and 205.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of 7*n**7\/15 + 15*n**4\/8 - 142*n**2. What is the second derivative of m(y) wrt y?\nAnswer: 1176*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*j - 8. Let z = -18 + -2. Calculate the remainder when (z\/6)\/(-5) + (-575)\/(-15) is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.89359 less than 145697?\nAnswer: 145693.10641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*sqrt(684))**2 + -6*(sqrt(19)*2 - sqrt(19))*-3.\nAnswer: -102*sqrt(19) + 2761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70)\/140*(-1836)\/(-189)?\nAnswer: -34\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -357\/5 (b) 17\/2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205 = 722*q - 730*q - w, -235 = 10*q - 3*w for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -417 or -379?\nAnswer: -417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -10. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 967, 823, 681, 541, 403, 267?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -j**5\/60 + j**3\/3 - 3. Let s(b) be the third derivative of p(b). Let n(i) = -i**2. Give s(n(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000407095 rounded to 5 decimal places?\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, v: 1, o: 1, t: 3, b: 1, p: 4}. Give prob of sequence opt.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 20*p**4 - 50*p**3 + 32*p**2 + 16*p + 8. Let t(f) = 13*f**4 - 33*f**3 + 21*f**2 + 11*f + 5. Let y(v) = -5*r(v) + 8*t(v). Factor y(g).\nAnswer: 2*g*(g - 2)**2*(2*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a gram in milligrams?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/5)\/(8\/(-160)*44)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0647 and -39227.\nAnswer: -39226.9353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23940 and 5472.\nAnswer: 191520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t + 3342*t**3 - 3292911*t**2 + 3292911*t**2 - 2*t.\nAnswer: 3342*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -3084\/29 less than -107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -u**7\/175 + u**6\/60 - u**5\/150 - u**4\/60 - u**2\/2 + 2. Let q(s) be the second derivative of o(s). Find w such that q(w) = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -1181 in increasing order.\nAnswer: -1181, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2499*k + 2*k**2 - 2499*k + 0*k**2. Let j(z) = 4*z**2. Give j(i(r)).\nAnswer: 16*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -839, -1637, -2435, -3233, -4031, -4829?\n\"Answer: -798*n - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*p + 5*o - 12, -o = -5*p + 13. Suppose 4*u + p = u. Let r be -1*6\/(-4)*3\/9. Which is the closest to 2\/7? (a) r (b) 0.4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*q + 7*q + 31*q in the form r*q + u and give r.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 675291955 is divided by 732.\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80\/(-110) - -1 - 5997\/(-33) is divided by 113?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*j = -54*j - 2*v - 1, -4*j + 8 = 4*v for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 25 = 5*q. Let x(b) be the third derivative of -7\/27*b**4 + 0*b - 1\/60*b**6 + 0 - 8\/27*b**3 - 1\/9*b**q + 2*b**2. Factor x(u).\nAnswer: -2*(u + 2)*(3*u + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wdn when three letters picked without replacement from nlnllnndnlxndwd?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n + 3*n + 3*n)*(-3 + 0 + 2) + 2*n + 2*n - 3*n - 5.\nAnswer: -n - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*i**3 + 5*i**4 + 220*i**3 - 67*i**3 + 341*i**3 - 3206*i**2 + 149*i**3 wrt i?\nAnswer: 120*i + 3984","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -260, -276, -284, -284, -276, -260?\nAnswer: -236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19cdf0 (base 16) to base 7.\nAnswer: 20242244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 7*l - 5. Let t be w(5). Suppose 3*f = t*d, -3*d - 2*f = -f. Let 3\/4 + d*x - 3\/4*x**2 = 0. What is x?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4261454266 to five decimal places.\nAnswer: 0.42615","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) 2 (c) -8 (d) -0.08 (e) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.51 + -3.21. Let u = -10.2 - n. What is u rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 207, 444, 769, 1182?\nAnswer: 1683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (71 - 34 - 41 + 2*i**2 - i)*(-i**3 - i**3 - 10*i**3).\nAnswer: -24*i**5 + 12*i**4 + 48*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n**3 - n**2 + 15*n + 244. Determine s(6).\nAnswer: 946","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2620939 or -2620940?\nAnswer: -2620939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -337*c + 731*c - 170*c - 379*c - 222*c.\nAnswer: -377*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 302*z**5 - 416*z**5 - 3*z**3 + 4*z**3 + (-z**2 + z**2 - 2*z**3)*(5*z**2 - z**2 - 3*z**2).\nAnswer: -116*z**5 + z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(432)*2)\/(sqrt(9) + sqrt(900) + -2*sqrt(900)).\nAnswer: -32*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22.1 + 21.8104. Let k = -141.0414 - -141. Let x = g + k. Round x to 2 dps.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (112 + -26 - 45).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*s + 39*s + 2821. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 - 0.1. Let n = 10 - 10. Let x = h - n. Which is the biggest value? (a) -1 (b) x (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 215864?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*p + 3*p. Let a be (0 - -1)\/(1\/(-8)). Let k = 10 + a. Which is smaller: k or p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47056?\nAnswer: 2, 17, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 656738*f**3 + 62*f**2 + 1825664*f - 87.\nAnswer: 3940428*f + 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22903\/5 + -4605. Let v = g + 24. Which is the closest to -1? (a) 8 (b) 0.4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 742152 and 9416.\nAnswer: 8163672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 5, 1, -8 in descending order.\nAnswer: 10, 5, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39401376 by 13133792.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-15)\/(-6))\/((-1)\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/170*((-42)\/2058*42)\/(18\/14).\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0047501754 to 6 dps.\nAnswer: 0.00475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 385431779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**2 + 3*c**2 + 3*c**2 + (-1 + 2*c + 1)*(-c + 11272 + 4*c - 11260).\nAnswer: 8*c**2 + 24*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/12)\/((-3)\/324*2). Let p = -33 - o. Solve d - y + 3 = p*d, -15 = -4*d - 5*y for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.097 * 804.32.\nAnswer: 882.33904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/(i\/(i**3*i))*i))\/i*i**(-2\/3)*i)\/((i**(1\/4)\/i)\/i*i)**31)\/((i**(2\/7)\/i*i)**(-4\/9)\/(i**2)**(8\/11)) assuming i is positive.\nAnswer: i**(55897\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1622914, 3245823, 4868732, 6491641, 8114550?\nAnswer: 9737459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 24 (b) -2\/21 (c) -0.01492 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 - 81*j + 2. Let l(r) = -r**2 + 40*r - 1. Calculate 5*l(s) + 2*m(s).\nAnswer: -s**2 + 38*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, 3, -4, -31864\/5 in decreasing order.\nAnswer: 3, 1\/9, -4, -31864\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 475, 1, 26 in decreasing order.\nAnswer: 475, 26, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven eighths of a week?\nAnswer: 8820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -4 = -10\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1289 + 1286. Let y = 0.2 + -0.1. Which is the nearest to 3? (a) m (b) y (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 150, 326, 630, 1104?\nAnswer: 1790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 136 = -q, 3*k - k - 407 = -3*q. Suppose 2*b = q - 29. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rxjcmjmbjcmcmmr. What is prob of sequence crm?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 317094243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (143 - 3) + (-2222 - -2160).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 253 + -249. What is the nearest to t in 3, -1\/2, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*v**2 - 234*v - 9*v**2 + 4*v**2 - 562*v.\nAnswer: -29*v**2 - 796*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 2\/7, 5, -5, 21.6, -38.\nAnswer: -38, -5, 2\/7, 0.4, 5, 21.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -9 - 3. Suppose -4*n = 3*l + 47, -n + 0*n = -l + 17. Let h be 96\/56 - 4\/n. Put h, i, -3 in increasing order.\nAnswer: -3, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 1 - 2 = -3*v, -2*x = 2*v + 2. What is the second derivative of 3*d - v*d - 2*d + 4*d**5 wrt d?\nAnswer: 80*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 26 = -22. Suppose -8*z + 25 = -3*z. Suppose -a - 28 = -z*f, -4*a = -a - 6. What is the remainder when f is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -1855*d**2 + 930*d**2 + 915*d**2. Let p(q) = 33*q. Calculate u(p(g)).\nAnswer: -10890*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmm when four letters picked without replacement from {m: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 136*w - 4. Let o(f) = 45*f - 1. Let g(i) = -11*o(i) + 4*r(i). Let h be g(2). Let k = h + -11. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6 - 0 - ((-33 - -12) + 12). Let s(c) = -c. Let g be s(-2). Solve -h + o = -5, -l = o + g*o for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 18 = 5*q. Let i be 12\/28*168\/(-24). Sort i, q, -1, -5 in descending order.\nAnswer: q, -1, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 9 + -7 + (1 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 164 - 159. Suppose 5*o - 185 - 225 = i*p, -o = 5*p - 52. Is o a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 7*m**2 + 3*m - 7. Calculate the remainder when d(-4) is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3 - b**2 + 2*b + 0*b**2 + 2*b**2. Determine s(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3430?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -t**5\/20 - 5*t**4\/12 + 7*t. Calculate r(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 173, 340, 509, 680, 853, 1028, 1205?\n\"Answer: m**2 + 164*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n*u*v**3*x - 6*n*u*v**3 + 7*n*u*v**2*x - n*u + 46*n*v**2*x - 4*n*v**2 - 4*n + 152379*u*v**3*x - 41*u*x + v wrt v?\nAnswer: 6*n*u*x - 36*n*u + 914274*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, 5, 11838, 4, -2 in ascending order.\nAnswer: -2, 4, 5, 33, 11838","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 6:18 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -671 + 2272. List the prime factors of c.\nAnswer: 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(-4)*1\/(-5). Let w = -12263 - -12260. Which is the nearest to j? (a) 4 (b) 1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((-546)\/44)*(-38646)\/23617.\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2\/145, 4, -0.028, 2\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, a: 4, t: 1, m: 3, h: 5, f: 6}. What is prob of picking 1 b and 2 f?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 - -49. Let k(c) = -c**3 - 19*c**2 + 20*c - 8. Let z be k(-20). Let d = z + a. What is the smallest common multiple of 13 and d?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*t - 4*t + 6*t)*(-5 - 4 + 0)*(-4 + 3 + 4).\nAnswer: 324*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*m + 4*c, m + 2*m - 4*c - 4 = 0. Suppose -2*d + 5*a = 29, -m*d - 5*a = -0*d + 43. Let s = 18 + d. Calculate the remainder when s is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1258 - 546. Let t be (a\/10)\/((-6)\/(-52500)). What is t rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 383249642.\nAnswer: 2, 191624821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20956 and 2171?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -952*x - 78999. Calculate y(-83).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1258.4 (b) -3053 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2)\/v)\/(v\/v**5))\/((v\/(v**5\/v)*v)\/(v**(-3)\/v)) assuming v is positive.\nAnswer: 1\/v","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 97 - 95. Suppose 0 = 4*v - l*v - 10. Is v < 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 14847\/8, -2\/265, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*t - 17*t - 4. Let o be ((-116)\/675)\/((-10)\/12). Let r = o + 2\/125. Which is the nearest to r? (a) -4 (b) -2\/5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010111000110001 - -1101?\nAnswer: 101010111000111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8229*o - 7*o**3 + 3989*o + 4240*o.\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -i + 23, -i - 4*m + 29 = 2*i. Let b be ((-14)\/8)\/(i\/60) - -1. Which is bigger: -33 or b?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 548\/(-411) + 13\/3. Which is the fourth smallest value? (a) f (b) -9 (c) 0 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 79, 83, 87?\n\"Answer: 4*o + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/16 + 15\/8. Suppose d*q - k - 4*k = -21, 5*q - 5*k = -60. Let w = -10 - q. Sort -1, -5, w in increasing order.\nAnswer: -5, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - (-3 - (-1 + -2)). Let w be 16\/6*3\/g. Let f(s) = -2*s**2 - 6*s - 5. What is f(w)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21*58\/(-4872)*(-60)\/(-9)*(-6)\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 5:36 PM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 140*z**2 - 12*z + 1. Let j(x) = -141*x**2 + 15*x - 2. Determine 4*a(c) + 3*j(c).\nAnswer: 137*c**2 - 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16881?\nAnswer: 3, 17, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4956 + -2280. What is the thousands digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35933, 33608, 31283?\nAnswer: 28958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 488 = -3*y, 3*w = -2*y + 150 + 608. Let l be 7\/((-28)\/w)*6000. Round l to the nearest 10000.\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 307629.\nAnswer: 307629","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26*z**3 - 499 - 363 - 336*z**3 - 669*z**3 wrt z.\nAnswer: -3093*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*h - 4*i, -3*h = i - 13. Suppose -5*s = h*g - 0 + 20, -13 = s - g. Calculate the least common multiple of 9 and s + 7 - 2\/(4\/(-38)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 v when three letters picked without replacement from vyjjqjyjvz?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*d + 276 = 0. Suppose -3*p + 1 = 2*r + 6, -4*r - 50 = -2*p. Calculate the remainder when 29 is divided by 80\/100 - d\/r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -6, -13 in ascending order.\nAnswer: -13, -6, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1854\/5 + 371. Put t, 1\/2, 89 in ascending order.\nAnswer: t, 1\/2, 89","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 3:54 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*d - 2*d**3 + 6*d**3 - 24*d**3 - 35*d to m*d + h + u*d**2 + s*d**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 983*b = 462*b + 486*b - 945 for b.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 - 0.3. Let d(v) = -v**2 - 460*v + 23828. Let b be d(47). What is the third smallest value in b, m, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 12 - ((-39 - -19) + 11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-3\/4)*t))\/(t\/((t*t**(-6))\/t)))\/(t\/t**(-1\/3))**(-2\/61) assuming t is positive.\nAnswer: t**(-4543\/732)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m - f - 14, -241*m + 245*m + 2*f - 8 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.27 - 6.87. Let y = -41\/20 - -5\/4. Sort y, k, -3, 1\/10.\nAnswer: -3, y, 1\/10, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.589487935 to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1399303 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = 145 - 229. Suppose -4*n + n + 4*o = -340, 2*o + 2 = 0. Calculate the greatest common divisor of u and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssl when three letters picked without replacement from ssslssss?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.976 from -0.23.\nAnswer: -1.206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**4 - 3*q**4 + 5*q**4)*(-1 - 1 + 1) + 3*q**4 + 0*q**3 + 0*q**3 - 7*q**4 - 2*q**3 + 2*q**3 + 4*q**2 - 4*q**2 - 2*q**4 + (-q - 3 + 3)*(q - q + 2*q**3).\nAnswer: -10*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**0*c)*c\/(c*c**(2\/19)))\/(c**12\/((c*c**(-3))\/c)) assuming c is positive.\nAnswer: c**(-287\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 + 8*x + 18. Let r be t(-3). Which is the nearest to -2\/5? (a) r (b) 4 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 365 + -76. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -1 + 6 + -2 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*q**3 + 3*q**4 + 2*q - q**4 + 99*q**3 + 0*q**4 + 283*q**3 to the form l*q**4 + c*q**2 + t*q + f*q**3 + x and give f.\nAnswer: 395","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 386 + 278*w + 121*w**4 + 176*w**4 + 661 - 278*w wrt w.\nAnswer: 1188*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13398 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 436*t + 52. Let l(h) = -250*h - 3. Calculate u(l(s)).\nAnswer: -109000*s - 1256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t - 14. Let m be p(6). Suppose 0 = 2*o - m*u + 2*u - 2, -17 = -3*o - 4*u. Suppose o*h = 2*h + 34. List the prime factors of h.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/16*(-7544)\/(-2829).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 11, -1\/5, -6.21?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 2*z + 6. Let x(p) = 4 - 3*p**2 - p + 3*p**2 - 6*p**z + 2*p - p**3. Let r be x(-6). Is -6\/11 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213c (base 15) to base 13.\nAnswer: 327c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*l = 37*l - 6*v - 48, 0 = -2*l + 2*v + 20 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2\/10 - 680\/(-25)*49?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 9. Let o = -1.4 - h. What is the nearest to -1\/2 in -2, o, 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -5*m, z = -2*m. Suppose z*i - 4*i = 0. Suppose i*t - t = -36. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**2 - 3*n + 3. Let z(s) = 6*s**2 - 5*s + 5. Let c(t) = t + 4. Let p be c(-7). Let w(b) = p*z(b) + 5*g(b). Let i(r) = r**2. Give w(i(h)).\nAnswer: -3*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -351.2 or -86?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (3 + 1 - 9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-2*(-2 + 1)). Is s equal to 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -12*g + 27. Give s(-4).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27818125*h**3*q + 31777597*h**3 with respect to q.\nAnswer: 27818125*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) 3 (c) 0.0003 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-3 - -5)) + 5 + 85 + -91?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -29*d**2 - 895*d - 30. Give n(-31).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 28618*-0.4\nAnswer: -11447.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 859341 is divided by 18196.\nAnswer: 4129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 7825.3406 to 0 decimal places.\nAnswer: 7825","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w + 3. Let s be m(0). Let f = 0 - -3. Suppose 21 = s*x + f. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3509703 and 154.439.\nAnswer: 3509857.439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.83361m in nanometers?\nAnswer: 8833610000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-240)\/1050*(-1230)\/(-2296))\/(-1*(-1)\/42)\nAnswer: -36\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of h**8\/840 + h**7\/420 + 20*h**3\/3 + 7*h + 1. Let b(t) be the second derivative of k(t). Factor b(q).\nAnswer: 2*q**3*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1155 + 1034?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 11:49 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 565810 and 13426.\nAnswer: 1918","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**2\/2 - 5457*l + 9926283\/2 = 0. Calculate l.\nAnswer: 1819","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/3, -6, -5, 48?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/1495 and 145\/5382?\nAnswer: 26910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*s - 2572350 = -145*s. What are the prime factors of s?\nAnswer: 2, 5, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.215 - -0.115. Which is the third biggest value? (a) -1\/2 (b) -0.2 (c) -4 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**7*m*m**(-5\/2)*((m\/m**(-3\/5))\/m)\/(((m*m**(-3))\/m)\/m))**(-21) assuming m is positive.\nAnswer: m**(-2121\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -616, -1241, -1880, -2533, -3200, -3881, -4576?\nAnswer: -5285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -202.86859 rounded to 0 decimal places?\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x*x*x**8\/x))\/x*x*x**(1\/7)*x assuming x is positive.\nAnswer: x**(-55\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -70*f. Let b(d) = -67*d**2 + 3*d - 10. Give w(b(y)).\nAnswer: 4690*y**2 - 210*y + 700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -3, -5, -1\/4 in decreasing order.\nAnswer: 0.4, -1\/4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 960 (base 10) to base 6.\nAnswer: 4240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.06 - -7.04. Let z be 1\/((-10)\/2 - -1). Which is bigger: t or z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/10 + (-88)\/660.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)*-2)\/(2*-5*sqrt(4) - sqrt(4)) + 0)*-6.\nAnswer: -24*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/2948134 and 115\/1263486.\nAnswer: 8844402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35649161.91323 - 35648834. Let h = -0.01323 + m. Let j = h - 328.0399. Round j to 2 decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 560 - (-1 + (-7 - -3)). Let p(i) = 44*i + 3. Let l be p(4). Suppose 0*q - d + n = 3*q, -q + 2*d = -l. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -8817?\nAnswer: -8821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + 50. Suppose 8*b - m = 171. Suppose -4*i - 3*w = -26, i + b = 6*i + 2*w. Solve 4 + 6 = i*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/85552 and 45\/171104.\nAnswer: 171104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 225204174 and 3?\nAnswer: 225204174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1094227606 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*t**3 - t - 12 + 10*t**4 - 4*t**3 - 11*t**4 + 2*t**2 to a*t**2 + u + y*t**3 + n*t + r*t**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9332536 and 1166567?\nAnswer: 9332536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*z = -30, -4*q = -2*z - 11 - 41. Suppose -2*p - 6*p - 16 = -40. Calculate the remainder when q is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -2. Suppose 2*m + 0*m + 4*q = j, 3*m = q - 21. What are the prime factors of 31\/11 - m\/33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/sqrt(6) + sqrt(20))\/sqrt(4) - (sqrt(2160) + sqrt(60))\/sqrt(12).\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 2*u**2 + 2*u. Let w(k) = 9*k**3 - 21*k**2 - 21*k. Determine -21*f(j) - 2*w(j).\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1137*h*j**2 - 3*h + j**2 + 15*j + 47 wrt j.\nAnswer: -2274*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1 + ((2 + sqrt(52)\/sqrt(4))*-4 - (-2*(sqrt(13) + 1)*-5)**2).\nAnswer: -1412 - 204*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rreppppxporerqx. What is prob of picking 2 r, 1 e, and 1 x?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1544779153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 41 = 43. Solve 5*v = w + w - m, 2*w + v = -9 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34985276*h**5 - 151*h - 158585 wrt h.\nAnswer: 699705520*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 82190 to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 60980.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 10*d - 57. Let p be j(6). Let w(l) be the first derivative of 0*l**3 + 3\/5*l**5 + 0*l**4 - p - 2*l + 0*l**2. Differentiate w(a) with respect to a.\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1442*w**2 + 794*w**2 + 691*w**2.\nAnswer: 43*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/3 - 28\/3*b - 2*b**2.\nAnswer: -2*(b + 4)*(3*b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*z**2 - 2072423*z + 2072423*z.\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1*(-3 - -3))\/(-2). Suppose v = -7*n - 0*n + 168. Find the first derivative of 6*z**4 - 23 + n + 5*z**4 wrt z.\nAnswer: 44*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jblbvvvjfvvfjvjv. What is prob of sequence jbf?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -71, -119, -167, -215?\nAnswer: -263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -171.1 and 5.\nAnswer: -166.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t = 5*t - 2*a + 32590, 6*a = -4*t + 32578. List the prime factors of t.\nAnswer: 29, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6466 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (248\/2170)\/((-4)\/(-10))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41\/174 + 2\/29. Let l be (-544)\/(-128)*(-2)\/(-34). What is the nearest to -1 in l, i, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57 + -75. Let i be b\/(-12)*(-100)\/(-3). What is the greatest common factor of i and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4816781 is divided by 2297.\nAnswer: 2269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (444\/16 - -1)*20. Suppose -2*o + d = 3*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597225726 to the power of 1\/2, to the nearest integer?\nAnswer: 24438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -17*v**3 + v**2 + 6*v + 14. Let y(u) = 18*u**3 - u**2 - 5*u - 5. Calculate -5*a(o) - 6*y(o).\nAnswer: -23*o**3 + o**2 - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000274 to 6 dps.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -315b4 (base 12) to base 14\nAnswer: -19880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*m = -71, 5*w - 7*m + 3*m - 235 = 0. Let b = w + -39. Solve -5*o - b = 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(209) + ((sqrt(209)*2 - sqrt(209))*-3 - sqrt(209)))\/sqrt(11))**2 + 0.\nAnswer: 18*sqrt(19) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4*t = 191, 9*t - 8*t + 129 = 2*j. Calculate the highest common factor of 143 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*z + 52 = -125*z for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -126*(3\/(-6))\/1. What is the highest common divisor of b and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49786 - 49784. Suppose 5*n = 2*b - 2, b - 3*b - n = -26. Solve 4*l + r*g = 3*l - b, -l + g + 4 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29106 divided by -1386?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 6:23 PM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2553 is divided by 849.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a**3 + 17*a**2 - 15*a + 146. Give c(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**4 + 1 - 1)*(-48529 + 24804 + 4967 - 43201 - 48795 - 77332).\nAnswer: -376172*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3423390 or -3423392?\nAnswer: -3423390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-2))\/3*(-19)\/(-133)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a + 7. Let j(y) = 0*y - 2*y + 8 + 4*y. Suppose 0 = 3*f - 2*l - 7, 101*f + 2*l = 102*f + 3. Let n(k) = f*j(k) - 4*o(k). Give n(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/8 and 8\/147?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 93\/15 - 3 - 3\/15. Suppose 4*v + z - 1943 = 0, 5*z = k*v + 2*z - 1446. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -9 - 15. What is the lowest common multiple of 8 and 4 - 1 - l\/(-2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from rdrrrddddddrrdddrdd.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -388*j - 185 + 33 + 34 + 118. Let w(t) be the third derivative of -t**4\/24 + 7*t**2. What is w(m(u))?\nAnswer: 388*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p = 4*p + 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 1606190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/36*(-6)\/(-16)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84102, -168325, -252682, -337179, -421822, -506617, -591570, -676687?\nAnswer: -761974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (10 + (-190)\/20)*6\/11 + (-50127)\/(-2541)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (-465)\/6 + 4. Let m = -75 - s. Which is bigger: m or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -106 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 118 = -115. Solve 0 = 4*z + 2*r - 6, -3 = -j*z - 3*r + 9 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**5*o - 29*a**4*o + 7*a**3 - 9*a**2*o + a**2 - 2*a*o wrt a?\nAnswer: -60*a**2*o - 696*a*o + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 + 98 = -2*b. Solve -b*t + 10 - 25 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 310\/403*(-1)\/5*2*(-1)\/6\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-32)\/10 + (-2)\/(-10). Let a = 19 - 16. Let t = a + q. Sort t, 2, 1.\nAnswer: t, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j + 4. What is n(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.294 rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 48\/(-23) - 404404\/(-39468).\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -39 - ((22 - 1) + -30)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (-54 - -63 - (3 + 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 5:32 PM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.5 - -1.3. Let r = 15.56 - 18.56. Let g = 3\/14 + -1\/2. What is the closest to g in v, -2, r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 55 = 3*h, -4*d = 6*h - 8*h + 44. Calculate the least common multiple of h and 18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 5*t. Let c(f) be the first derivative of 0*f - 11\/2*f**2 + 37. Calculate z(c(o)).\nAnswer: -55*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 31334 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1494541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -3. Suppose 3*o - 20 = -a*s + 2*o, s - 4*o = 5. Solve s*y + 0 = 4*m + 23, 2*m - 4*y + 16 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-9))\/(((-140)\/(-231))\/10). Which is bigger: -41\/4 or u?\nAnswer: -41\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1392094801 a multiple of 8033?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -485*s**4 - s**3 + s - 599 wrt s?\nAnswer: -5820*s**2 - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50)\/15)\/((-52)\/(-39)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 400944 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/2))**(-8\/11)*(g**1)**(-9\/5) assuming g is positive.\nAnswer: g**(-79\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(-1*sqrt(729)).\nAnswer: -sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 11:24 PM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -219195 or -217381?\nAnswer: -219195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, t: 2, o: 1, k: 3, r: 5, j: 3}. Give prob of sequence jot.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 3*h - 13, -27*h = -29*h + 2*b + 6. Solve 0 = v - 2*v - 3*l + 11, -h*l + 10 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*s**4 - 37*s**4 + 33*s**4)*(-1 - 2 + 6).\nAnswer: -123*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 at least 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8326 > 8078?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 10*y. Let n(a) = 369*a - 735*a + 360*a. Give 10*n(p) + 5*s(p).\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3562.415 millennia?\nAnswer: 3562415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -3) + -2 + 0\/4. Suppose -4*n - z + 567 = 0, n + 2*z + z - 150 = w. Does 10 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2151, 2160, 2173, 2190?\n\"Answer: 2*l**2 + 3*l + 2146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u + 5*n - 2, 0 = n - 4*n for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, -543, -20, 18.\nAnswer: -543, -20, -1.1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 2*a + 2. Let z be f(-2). Suppose -126 = -90*y + 69*y. Calculate the greatest common factor of y and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 36 = -3*f. Let x(j) be the second derivative of -j**5\/20 + j**4 + j**3\/2 - 13*j**2\/2 + j. What is the tens digit of x(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 899*h + 10839 + 4470 + 6625 = -8632 for h.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 14*b + 24. Let s be q(-12). Let y(c) be the first derivative of 2\/3*c - 3 + s*c**2 - 2\/9*c**3. Factor y(g).\nAnswer: -2*(g - 1)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 160 and 250?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**17)**(-4))**(-2\/11))**(-2\/41) assuming w is positive.\nAnswer: w**(-272\/451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18.14 - -0.06. Let k = q - 23.2. Which is the closest to 0.2? (a) k (b) -0.06 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*c - 4737000 = 0, j + 3*c + 2660208 + 2076792 = 0. What is j rounded to the nearest one hundred thousand?\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 29*x + 1249. Let r be n(-43). Solve -14 = m - 3*h - h, -3*m - r*h = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 903941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -76\/71 - -56602\/213. Let z = 262 - h. Let u = -46 - -78. Calculate the common denominator of u and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k + 1. Let l(f) = 10*f + 12. Determine -2*l(s) + 22*v(s).\nAnswer: -42*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4*n. Let i(h) = h. Let w(x) = 6*i(x) + 2*j(x). Let l(g) = 47*g**2 - g. Determine w(l(d)).\nAnswer: -94*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (1 - -2) - ((-6 - 3) + 6).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-3))**27)**46\/((l**8\/l)\/l*(l*l**2*l*l)\/l*l\/(l**(-4)*l)*(l*l**(-1\/6)*l)\/l) assuming l is positive.\nAnswer: l**(-22445\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {g: 1, q: 4, e: 6}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, l: 10}. Give prob of sequence qqlq.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 979\/12063?\nAnswer: 979\/12063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43\/6, -5, -0.037784 in increasing order.\nAnswer: -43\/6, -5, -0.037784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -3, -0.464, 4, -0.8, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of g**4\/12 + 2*g**3\/3 - g**2 + 3*g. Let t(c) = -c + 1. Let u = 7 + -5. Calculate u*t(l) + f(l).\nAnswer: l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -5*q - 85, 3*r + q + 30 = 5*q. What is the units digit of (8\/(-6))\/(r\/147)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 20*v. Suppose 0 = 2*l - 2*d + 16, l = -0*l - 5*d + 16. Let m(p) = 26*p. Let a(c) = l*r(c) + 3*m(c). Let q(o) = -180*o**2. Determine q(a(i)).\nAnswer: -720*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -5 + 6 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -828*v + 824*v + 29*u = 145, -5*v + 4*u - 20 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1077, -1547, -2015, -2481?\n\"Answer: a**2 - 473*a - 605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-8))**43\/(z\/z**(1\/3))**(-11) assuming z is positive.\nAnswer: z**(-1010\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(((630\/(-40))\/(-9))\/(5\/(-30))).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1485)\/(225\/5) - -4\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5575922*c**3 + c**2 + 2*c - 809477 wrt c.\nAnswer: -33455532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*w + 66*d - 61*d + 37, 3*w - 12*d - 33 = 0 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ekxhchjc. What is prob of picking 1 h and 1 c?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3\/2 - 129600*l**2 + 5603641551*l\/2 - 106282129377.\nAnswer: 3*(l - 43181)**2*(l - 38)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 31 - (2\/2 + 1).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 638\/217 - 48827\/21700. What is the common denominator of p and 43\/36?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -421 - 1.67?\nAnswer: -422.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -6*d + 10. Give a(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00805593 rounded to 5 dps?\nAnswer: -0.00806","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + 21 + 1 - (1 - 14).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + (-50 + 23 + -7 - -16).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32400121442 + -2?\nAnswer: -32400121444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 426 and 2911?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 338*g**3 + 12246*g**2 - 35856*g + 25272.\nAnswer: 2*(g + 39)*(13*g - 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y**2 + 0 + 1 + 3*y**3 + 2*y**2 - y + 1 as f*y + v + m*y**2 + k*y**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 4*q + 112, 3*j - q = -j + 196. Calculate the lowest common multiple of 102 and j.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -8. Let d = -10 - g. List the prime factors of 25 + (d - (-3 - -1)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 415438, 415444, 415452, 415462, 415474?\n\"Answer: o**2 + 3*o + 415434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 6*p**2 - 8*p + 8. Let i be u(-7). Suppose -i = -9*v + 6*v. Let a be 22\/4 - (7 - v). Is a at least as big as 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -63 - (-407)\/(-1443)*39?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1317 = 3*r - 3*g, 5*r + 5*g - 1174 = 991. Let p be 1\/(5\/35)*r. Suppose 3*t + 6 - 21 = 0, 5*t - p = -3*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11115.41 - -13503. Round h to the nearest one hundred.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2 + n**2 + 9 - 2 - 6. What is h(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 7:30 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1214275483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 1259?\nAnswer: -1259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7812 or 7818?\nAnswer: 7818","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (108\/(-96) - 2\/(-16)). Let s be (-36)\/(-6) - (c - 6). Let o(l) = -3*l**3 - 9*l**2 - 9*l. Let h(a) = a**3 + 2*a**2 + 2*a. Calculate s*h(m) + 2*o(m).\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001163768117 to six dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b - 1. Let h(u) be the first derivative of -4*u**2 + 4*u - 870. Suppose 3*q = 5*q - 10. Suppose q*s - 27 = -7. Determine s*v(o) + h(o).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 3*t. Let j be z(-4). Let k = 11 + -5. Let g be ((-3)\/k)\/((-1)\/2). Solve j*f = -3*y - 6 + g, 2*f + 10 = -4*y for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/59, -47, 0.4, -2\/13 in ascending order.\nAnswer: -47, -2\/13, 5\/59, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7272, 14533, 21782, 29019, 36244?\nAnswer: 43457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4*m + x, -5 = -3*m - x. Suppose m = -3*z + 31. Let y = z - -17. Solve -q - 4 = s, -9*q - y = -4*q - 2*s for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 1\/11, 10 in increasing order.\nAnswer: 1\/11, 10, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 3, 4, -14\/11, 0.1, 173?\nAnswer: 173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(1\/9)*b)\/b*b**16\/b assuming b is positive.\nAnswer: b**(143\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14905 or -14906?\nAnswer: -14905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 103*g - 1105*g + 138*g - 502*g - 176*g to m + b*g and give b.\nAnswer: -1542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -5*c - 0*c + 31, -c + 5 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ubuuiuiuuuubu. Give prob of sequence iuib.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3 - 74144488*f**2 + 296578000*f - 296578016.\nAnswer: -4*(f - 2)**2*(f + 18536126)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.029344 rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-2\/9)\/s*s*s\/(s*s**(-1\/3)))\/(s\/((s\/(s**0\/s))\/s*s*s))**(4\/3) assuming s is positive.\nAnswer: s**(34\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 266dbc + 5?\nAnswer: 266dc2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*b**2 + 0*b**2 + b**2 + (-2 - b**2 + 2)*(-4 - 1 - 2) + b**2 + b**2 + 2*b**2 + (-2*b + 2*b - b**2)*(-1 + 5 - 2).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13\/856 - -415\/856. Let p(n) be the first derivative of 7 - 5*n + t*n**2. What is p(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -190924 + 763699\/4. Let 0*a - 3\/2*a**4 + 3\/4*a**3 - m*a**5 + 3\/2*a**2 + 0 = 0. Calculate a.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*y + y**2 + 36*y - 43*y - 1 + 2*y**4 in the form b*y + l*y**4 + r + k*y**2 + x*y**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + c - 4*c)*(2*c - 2*c - 3*c**2) + (5*c - 3*c + c)*(3*c**2 - 4*c**2 + 4*c**2) + (-c**2 + c**2 + c**2)*(c - c + 2*c).\nAnswer: 14*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 3*x - 222. Suppose 4*d + x = 5*d. Suppose -2*g + 5*n = -46, d = 5*g - n - 4. What is the remainder when 90 is divided by g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2121608, -4243176, -6364744, -8486312?\nAnswer: -10607880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/71615 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 4*j**2 + 1327438272*j + 110130772873146624 = 0.\nAnswer: -165929784","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w + 4. Let i be u(-3). Let z be (2\/(-7))\/(0 - i). Determine x, given that 0*x**3 + 0*x - 2\/7*x**4 + 0 + z*x**5 + 0*x**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 34.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 333 + 3?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1706 - 1383. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 4:46 PM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/14*1\/30.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6364 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28387811 is divided by 793.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 145*k*p**2 + 38*p**2 - 4 wrt k.\nAnswer: 145*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -1\/3 (c) -0.5 (d) 2\/9 (e) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**5 + 1 - 1 + (-4 + 4 - 6*c**3)*(-5 - 23*c**2 + 5).\nAnswer: 139*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -10*c**2. Let j(d) be the third derivative of -5*d**4\/3 + 1815*d**2. Determine j(q(v)).\nAnswer: 400*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2 - 0. Suppose 1 = v*d + 5, -d = -n + 3. Solve -h + 2 = -n for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/38*(-3 + -16)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 98 and 35623?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 0. Suppose -4*o + 27 = -3*j, -2*o - 4*j + v + 6 = 0. Let i = 12 + -6. What is the highest common divisor of i and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 154*v - 15619. Calculate i(103).\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -6. Suppose -3*p + 0 - 3 = y. Let u = 0 - p. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74678676 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from tttqttqqtttttttttttt?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 10*v + 32. Determine c(14).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -615525 + 1213970. Suppose 5*t = -3*o + o + 239406, 5*t = 5*o - x. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 4*d + 7. Let t be b(-5). List the prime factors of (-352)\/(-55) - t\/5.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 118.628 + -119. Let p = -0.022 - j. What is p rounded to 2 decimal places?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11246 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/14 (b) -4 (c) 4 (d) 5\/2 (e) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*w = 30, 23*w - 2 = 22*w. List the prime factors of 633*12\/(-90)*i.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 9*c**2 + 11*c - 8. Let z(f) = 3*f**2 + 4*f - 3. Determine -4*u(m) + 11*z(m).\nAnswer: -3*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -845664, -845658, -845648, -845634?\nAnswer: -845616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2010030945?\nAnswer: 3, 5, 13, 41, 71, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1177, -1178, -1179, -1180?\n\"Answer: -s - 1176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26194, 26151, 26076, 25969, 25830?\nAnswer: 25659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 180 + -125. What is the greatest common factor of h and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 9:50 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 13*x + 4. Let r be y(0). Solve -2*a - 3*a = 3*l + 40, -r*a + l - 15 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25072 divided by 2013\nAnswer: 25072\/2013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*r - 132 + 63 = 360. Solve 3*b - 5*a + r = -20, a = 7*b + 19 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23660 divided by -26?\nAnswer: -910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 8*o + 2. Let z(c) = -5. Suppose 0 = 5*x - 2*x - 6. Let p(j) = 7*j + 11. Let f(n) = x*z(n) + p(n). What is 6*f(u) - 5*g(u)?\nAnswer: 2*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 96738521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - i**2 - 1)*(i**2 + 0*i**2 + 4*i**2)*(-3*i - 2*i + 2*i)*((3 - 1 - 1)*(3 - 2 + 0) + 2 + 0 + 0 + 5 - 2 - 1 - 7 + 0 + 8).\nAnswer: 90*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 603 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5056 by 1.\nAnswer: -5056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.5 + -1.5. What is the third biggest value in 5, -2\/7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**5\/9 - 28*c**4\/9 - 50*c**3\/3 + 208*c**2 + 672*c = 0 for c.\nAnswer: -7, -3, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 65512714 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153896*c - 153924*c + 307806*c.\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - -3) + 12\/(-3). Let w(v) = -6*v + 2. Is 7 a factor of w(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 4*s**2 + s + 1. Let p(y) = -y**3 + 3*y**2 + y + 1. Let c be p(3). Is d(c) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5652 is divided by 4853.\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*t = -t - 162. Solve -4*i + 18 = 5*s, 0 = -0*s - t*s - 2*i + 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h - 1959 = -72*h - 1311 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s + 2*s**4 - 3*s + (3*s**3 - s**3 - s**3)*(-2*s + s + 3*s) - s**4 - 3*s**4 + 5*s**4 - s**4 - 3*s**4 + s**4 - 14*s**4 - 7*s**4 + 5*s**4.\nAnswer: -14*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -16 + -10 - (-30 - -4).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 764854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -5*v**3 + v**2 + 2*v + 1. Let i be x(-1). Let k be 2\/i - (-26)\/10. Suppose -4*l = -3*b + 75, -k*l - 88 - 26 = -5*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 23 (b) -544 (c) 0 (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2\/4 - 1341819*k - 104657319.\nAnswer: -3*(k + 78)*(k + 1789014)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(192)*-1 - (sqrt(108) + (sqrt(108) + sqrt(108) + 2)*3 + sqrt(108)).\nAnswer: -56*sqrt(3) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of k**8\/84 - 4*k**7\/105 - k**6\/10 + 4*k**5\/15 + 2*k**4\/3 - k**2 - 321*k. Factor x(z).\nAnswer: 4*z*(z - 2)**2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 0, -y - 2*j = -4*y + 45. Let n(t) = 18 - t - 8 + 3*t - y. Give n(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112, -125, -146, -175, -212, -257, -310?\nAnswer: -371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/16*8\/6)\/(-1)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bdbb when four letters picked without replacement from jjjjdjjbjbjjjbjbjbd.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 653 - 651. Suppose 0 = -2*p + h*o + 17 + 61, 0 = -5*o + 25. Solve -p*f = -45*f - 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2650 divided by -132970\nAnswer: 265\/13297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1465293411 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i. Let h(l) = -l - 1. Calculate -h(o) + 5*x(o).\nAnswer: -4*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of 21*k**5\/80 - k**4\/2 - 17*k**3\/2 - 18*k**2 - 130*k + 2. What is c in j(c) = 0?\nAnswer: -2, -6\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24535 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -46006302*m**3 + 70843946?\nAnswer: -138018906*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 21121120000010?\nAnswer: -21121120000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -112917*q**3*u + 2*q**2*u - 2*u - 24442 wrt q.\nAnswer: -677502*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**3 - 225*x = 0.\nAnswer: -15, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1030000 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -10 - (-35 - (-27 - -5)) - 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 5, 2\/15, 199 in ascending order.\nAnswer: -5, 2\/15, 2, 5, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 1:15 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 216 and 38.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 131400 and 8200?\nAnswer: 5387400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -103, -371, -803, -1399, -2159, -3083, -4171?\n\"Answer: -82*g**2 - 22*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56*s**3 + 2 - s**4 - 115*s**3 + 70*s**3 - 2*s - 2*s**2 to the form j*s**3 + w*s**4 + r*s**2 + c + m*s and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**3 - 12*t**2 - 2. Let l be w(-6). Let c = 3045 - 8999\/3. Let s = c - 46. Is s != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 8 and -123 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 23398517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5341*u**3*y**3 + 11*u**3*y**2 + 2*u**3 - 154500*u**2 - 3*y**3 wrt u?\nAnswer: 32046*y**3 + 66*y**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 15) in base 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -2*a - 20, 0*a + 2*r = 3*a + 10. Let j = a + 2. Let n = -283 + 281. What is the biggest value in n, j, 1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47847455867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11340342 plus -592329.45?\nAnswer: 10748012.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.1 + 0.1. Let k = 0.89 - 1.19. Which is the nearest to u? (a) 0.3 (b) 6\/5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.43 - 0.43. Let m = 3.7 - 3. Sort f, 1\/2, m.\nAnswer: 1\/2, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, 1, -5, -6\/5 in descending order.\nAnswer: 1, -0.07, -6\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y**2 - 15*y - 3. Let k(f) = -2*f**2 + 10*f + 2. Let q(b) = 8*k(b) + 5*o(b). Let s be q(4). Solve 0*p = s*p + 5*x - 35, -33 = -4*p - 5*x for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 27408.\nAnswer: -5\/27408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 228776.6199913 + -228777.95. Let p = y + 1.33. What is p rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - f + 31. Give z(0).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17268 and 1116?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 26 = -l - 0*l, 0 = 3*t + 6. Let y be 6\/33 - 10\/55. Suppose -6*m + 102 - 18 = y. Calculate the least common multiple of l and m.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 36*p. Let v(h) be the second derivative of -h**3\/2 - 14*h. Let f(i) = -5*i. Let y(g) = -5*f(g) + 8*v(g). Calculate l(y(o)).\nAnswer: 36*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 8*v + 4. Let a(h) = -h**2. Let u(l) = 6*l**2 - 23*l + 12. Let r(g) = 3*a(g) + u(g). Let i(b) = -4*r(b) + 11*x(b). Factor i(t).\nAnswer: -(t - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5937 or -5938?\nAnswer: -5938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -d - 3*d**2 + 6*d**3 - 47 + 24 + 4*d**2 + 22 in the form h + j*d**3 + u*d**2 + t*d and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/70 + (-9)\/15.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39618348 and 106788?\nAnswer: 39618348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*p - 1091 + 1334*p**2 - 2694*p**2 + 1362*p**2 to q + x*p**2 + r*p and give q.\nAnswer: -1091","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/24)\/(-1*3\/(-2)). Let m = -200 + 203. Which is the second smallest value? (a) s (b) m (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -686239, -1372329, -2058419, -2744509?\n\"Answer: -686090*m - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 w when two letters picked without replacement from wbwypwwywpwwbybbwbw.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 11:33 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*t**2 + 24 - 24 + t**2.\nAnswer: -163*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -24*i - 528. Let k be g(-22). Let r be (-1)\/2 + (-33)\/102. Is k > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -137 (base 10) in base 16?\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + sqrt(11) + -6*sqrt(66)\/sqrt(6) + (sqrt(11) - (1 + -2*sqrt(11))) + (-1 + sqrt(275))**2 + sqrt(11) + (0 + sqrt(11))*-3 + 3.\nAnswer: -13*sqrt(11) + 278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 2*c**2 + 8*c - 7. Let n be i(1). Solve z = -n*z + 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11113 + -11?\nAnswer: 11102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -3.5. Let f(j) = 1015*j - 3082. Let o be f(3). Sort o, l, -2 in descending order.\nAnswer: l, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32\/3 + 10. What is the closest to x in -0.1, -0.5, 1, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p**2 - 2*p + 2*p)*(6*p - p - p)*(1 - 2 + 0)*(2 + 0 + 0) to the form u*p**3 + o*p + g + a*p**2 and give u.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 373*b**2 + 34771*b - 870. Calculate x(-184).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -60.25 + 62.25. Is -322 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.2 (b) -16946 (c) 0.3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of 0*o**4 + 0*o - 3\/20*o**5 + 0 - 4*o**2 - 7\/6*o**3. Find the first derivative of s(t) wrt t.\nAnswer: -18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.1, 3\/5, -2, 0.2434, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*i**3*x**3 - 8*i**3 + 496*i*x - 233*i with respect to x.\nAnswer: -18*i**3*x**2 + 496*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279869417?\nAnswer: 5261, 53197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6a607 + -7?\nAnswer: -6a612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8557 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42453 - 27131. What are the prime factors of n?\nAnswer: 2, 47, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 7:31 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44707 + 44706.999972199. What is m rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*h*l**3*u**2 - 240*h*l**3 + h*u**2 - 21*l*u**2 + 417*l - u**2 - 4*u wrt l.\nAnswer: -168*h*l*u**2 - 1440*h*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -g**5\/20 - 11*g**4\/6 - 13*g**3\/6 + 27*g**2\/2 + 12*g - 4. List the prime factors of k(-22).\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 10) to base 5.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14901 is divided by 184.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 0, 10, 3.6?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4\/531 + -1007\/531. Let w be (222\/5)\/((-6)\/15). What is the common denominator of (-2*w\/(-72))\/(3\/(-8)) and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179*g + 267 - 267.\nAnswer: 179*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 10*m**2 - 24*m - 14. Let q be w(-7). Suppose 5*r - 21 = -4*z, q = 2*r - 3. Sort 3, 4, 8, z in decreasing order.\nAnswer: 8, 4, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2. Let v(a) = -3. Let m(f) = -4*r(f) - 3*v(f). Let p(w) = 2*w + 4. Determine -4*m(d) + p(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-4 - (8 + -1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -b**4\/12 - 5*b**3\/6 - 9*b**2. Suppose -i = -3, 3*c + 0*i = 4*i - 39. List the prime factors of v(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5904\/(-34440)*3\/9.\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 5:35 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.555 * 0.1788\nAnswer: 0.099234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 3*f**4\/4 + 4*f**3 - 9*f**2\/2 - 54*f - 6. Factor n(j).\nAnswer: 3*(j - 2)*(j + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 123233431431 + 10?\nAnswer: 123233431441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -74 - -91. Suppose -3*p = 3*i - 5*p - l, -5*i + 23 = -2*p. Sort -7, 5, -3, i in increasing order.\nAnswer: -7, -3, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of b**4\/24 + b**3\/2 - 71*b**2. Let k(h) = 14*h + 12. Let i(n) = 4*g(n) - k(n). Let c(y) = 2*y. What is c(i(s))?\nAnswer: -20*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h*h\/h**(-2\/7)*h)**(-44)*(h\/(h**0\/h))**(1\/29) assuming h is positive.\nAnswer: h**(-47198\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 46216014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.85 + -4.7. Let u = 2.2 - r. Sort 5, u, -3\/4 in descending order.\nAnswer: 5, u, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -3412604?\nAnswer: -3412607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 5*x - 18)*(6*x + 19*x - 4*x + ((-5 + 3 + 1)*(3*x + 0*x - 5*x) + 0 + 2*x + 0)*(-1 + 1 + 2)).\nAnswer: -145*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4830193 is divided by 50?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 5, 0.072, -5, -3, -10\/43, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 m when three letters picked without replacement from mmmaaaammmmmnnmnmc?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -25*s + 105. Let p be o(4). Sort p, -2, 2, 21 in ascending order.\nAnswer: -2, 2, p, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2524205623 to the power of 1\/3, to the nearest integer?\nAnswer: 1362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 18*a**2 + 16*a + 270. Give n(21).\nAnswer: -717","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 699589*q**2*u**3 + 2*q**2 + 7*q*u**2 - 4*q*u - 168948*u wrt u.\nAnswer: 4197534*q**2*u + 14*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 442720 (base 10) to base 13.\nAnswer: 126685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -7*s**2 + 3*s + 10. Let v(b) be the third derivative of -b**5\/10 + b**4\/8 + 3*b**3\/2 - 2*b**2. Let u(n) = 3*m(n) - 4*v(n). Factor u(p).\nAnswer: 3*(p - 2)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.283 + -7.715. Let c = 6 + 2. Let g = c + l. What is g rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 164\/5 + 0\/3. Let j = l + -33. Which is the closest to -2\/7? (a) -2\/5 (b) j (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1136437343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 923 - 921. Let v be 1 - -1 - (1 + 1). Let g(w) = -1 + v + 3 + w**2. Determine g(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h**2 - 12*h**2 - 12*h**2 + 32*h**2 - 9462*h**3.\nAnswer: -9462*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 271.999642 + -272. Round r to five dps.\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -475429, -950831, -1426237, -1901647, -2377061, -2852479?\n\"Answer: -2*l**2 - 475396*l - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3011 - 57?\nAnswer: -3068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 627470 rounded to the nearest ten thousand?\nAnswer: 630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((1 + sqrt(19) - sqrt(19))*-6 + 2 + sqrt(304))**2 - (-2 + ((sqrt(19) - sqrt(114)\/(-2*sqrt(6)))**2 - (sqrt(19) + -2)*-3)).\nAnswer: -35*sqrt(19) + 1149\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190 - (15\/(-6))\/((-12)\/(-24)) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/260630 and -59\/13467?\nAnswer: 52386630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 69*o**2 + 3*o. Let v be b(-1). Let y be -2 + 10 + (-5 - 1). Sort v, 0, y in decreasing order.\nAnswer: v, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 166 = 31. Let r = 832 + -823. Calculate the highest common divisor of m and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 121.54 - 122. Sort 4, 0.4, w in ascending order.\nAnswer: w, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5 + (-3 + sqrt(700) + ((sqrt(700) + 0)*2 - sqrt(700)))*6)**2.\nAnswer: -3360*sqrt(7) + 100996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*k = -204 - 2208. Solve -34*n - k = 168 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, i: 1, j: 2, h: 2, a: 1, x: 1}. What is prob of sequence qix?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 6*m**2 + 2*m - 6. Let p be f(6). Which is bigger: 4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*u + 33 + 12 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 329 divide 418350465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.18 + 0.2. Let q be (-5)\/18 + 18 + 2461\/(-138). Which is the second smallest value? (a) k (b) 0 (c) 0.2 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2. Let g(u) be the second derivative of -u**4\/6 - u. What is g(a(k))?\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16337 is divided by 76?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52 + 11*n - 52)*(1 + 0 - 3) + 0*n + 2*n - n + (-7 - 7 + 1)*(4 - 4 + 1)*(0*n + 0*n + n).\nAnswer: -34*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 812 and 2769268.\nAnswer: 19384876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f**2 + 7*f + 7. Let x = 9 + -2. Let l(j) = j**2 + 3*j + 3. Let a(w) = x*l(w) - 3*g(w). Let q(i) = -i - 4*i + 6*i. What is a(q(t))?\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21783 and 2055?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 47*(3 + 0)\/3. Let m = v - 81. Calculate the remainder when 67 is divided by (m*1)\/(4 - 6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 5187.985 decades?\nAnswer: 518.7985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.0134, 2\/7, -17.8, 4 in decreasing order.\nAnswer: 4, 2\/7, 0.1, 0.0134, -17.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 6785.352.\nAnswer: 6780.352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*j**2 + 25*j**2 - 2*j**3 + 5*j**3 - 7*j**2.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1505.\nAnswer: 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22774 + -29166. Which is greater: p or -6390?\nAnswer: -6390","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44014 <= 44036?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z = 7*z. Let i be (31 - (-4 + z)) + 0. What is the second derivative of 35*s**3 - i*s**3 - 7*s + 5*s**5 wrt s?\nAnswer: 100*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b**3 - 6 - 4*b**3 + 5 to the form m*b + p*b**2 + g*b**3 + z and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d2d (base 14) in base 16?\nAnswer: -14d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -370fa96 - -4?\nAnswer: -370fa92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 + q**2 - 2*q**2 - 99*q**3 + 98*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -2.836, -1, -0.02?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*2\/(1*-2). Let c = m + 1. Calculate the smallest common multiple of 4 and ((-1)\/c)\/((-5)\/80).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100068 divided by 807.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4*p**2 - 1. Let m be b(-1). Suppose -3*k + 3*o = -39, m*o = -2*k - 0*k + 16. Let q = 16 - k. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7255 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 276527 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 8*p + 4. Let b be s(8). Solve b*n - 2 = 14 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 1486*s + 26702. What is q(-18)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/105087021 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, j: 1, w: 1, m: 1, c: 1}. Give prob of picking 1 j and 1 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 111051.7 millennia?\nAnswer: 1332620400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (438*-1)\/((-177)\/472). What is the greatest common divisor of g and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.254023 to two dps.\nAnswer: 4.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 91*s - 97*s + 7974. Suppose 15 = -5*v, -5*f + 3*v = -0*f - s. Is 26 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-192)\/(-24)*99\/(-12)*(-2)\/(-3).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 190 and 380.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 174071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/51695 and -41\/70.\nAnswer: 103390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12509, 25023, 37547, 50081, 62625?\nAnswer: 75179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 73, -39\/23, 2 in ascending order.\nAnswer: -39\/23, 2, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17*53\/(-9911)*(1 + 2 - 344)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 10*n - 218. Calculate the remainder when 21 is divided by w(23).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0 = -24. Let q = 21 - -250. Suppose -m + q = 5*x. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48.9 + 6.1. Let d = -84759758.82 + 84759813.81999929. Let h = w - d. What is h rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 6) to base 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 41 = -r. Does 31 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 555382024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 391*u - 65. Let c(v) = -327*v + 67. Let w(h) = 5*b(h) + 6*c(h). Let k(g) = -2*g**2. Give k(w(f)).\nAnswer: -98*f**2 + 2156*f - 11858","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 163468? (a) -0.2 (b) 48.3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 6*p**2. Let j(w) = -38*w**2. Calculate n(j(h)).\nAnswer: 8664*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 6*r + 4. Let a(j) = 2*j + 1. Let d be a(-3). Calculate y(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1011*d**5 + 3 - 653*d + 5262*d**5 + 2238*d**5 + 0 + 3980*d**5 wrt d.\nAnswer: 249820*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 435 a factor of 582030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-6) - (-124)\/(-6). Let l = o + 28. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-396530)\/38*2\/(-5). Suppose -t = -4*s - 5*q, 3*q = 11*s - 6*s - 5199. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*g + 28 = -183*g + 5*n, 3*g - 6 = -3*n for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o + 2\/7*o**3 + 0 - 4\/7*o**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 28 = 7*a. Let g = 17 - a. Solve -q + 2*q - 2*f = 0, 4*q - 5*f - g = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 12*v**2 - 10*v + 12. Let n be y(8). What is the highest common divisor of n and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.5, 2\/3, 5, 0.041, -7, 2\/9, 133?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19\/(-5))\/(29\/16965*117).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00014137481 rounded to 6 decimal places?\nAnswer: 0.000141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 114453549 equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of o**6\/120 + o**5\/10 - o**4\/4 + 5*o**3\/6 - 3*o**2. What is d(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 + 41. Let v be (-26)\/(-12)*(36\/q)\/2. Sort -1\/2, -5, v in decreasing order.\nAnswer: v, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**4 + o**2 - o - 1. Let h be 3 - 1\/3*-3. Let j(p) = 7*p**4 - 15*p**3 + 17*p**2 - 5*p + 4. Let g(b) = h*q(b) + j(b). Find l, given that g(l) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -0.1857.\nAnswer: -0.7428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/29510 and 27\/7945.\nAnswer: 206570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19195 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -2, 6 in descending order.\nAnswer: 6, 3\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 7*l + 12*l + l**2 - 9 - 18*l. Let v be h(4). Let s(g) = 17*g - 24. Is s(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 360 in ascending order.\nAnswer: -1, 0, 360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - g**2 - 3*g - 7. Determine h(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11820383?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*r = 25*r + 815. Suppose 5*q + r = 188. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/84 and 11\/84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-432)\/(-64)*3071\/999*-4.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5493097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -212*c**2 + 423*c**2 - 209*c**2. Let v(l) = 152*l. Determine z(v(g)).\nAnswer: 46208*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-5 - -9) + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1992*y + 2346*y + 1045*y**2 - 1047*y**2 + 198*y = 0. Calculate y.\nAnswer: 0, 2268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2597 and 53053.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m + 2*s + 10 + 1, -4*m - 37*s - 19*s = 68 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 24*m - 6*m. Let s be ((-1)\/(-2))\/((-3)\/(-30)). Put 3, s, m in decreasing order.\nAnswer: s, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, t: 5, c: 2, o: 1, m: 1}. What is prob of sequence acoc?\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*j = 45*j - 352 + 1990 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -0.1, -66, 5\/4, -9, 31, -1\/4?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 9764 and 9762 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 2*d + 7 + 5, d = 3*s + 1. Let w = s + -1. Which is the second biggest value? (a) w (b) 2\/9 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/30*30\/36?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 y when three letters picked without replacement from {s: 2, r: 1, l: 1, y: 1, b: 1, u: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15.096 and -30?\nAnswer: 452.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 1777*l - 152350. Give i(86).\nAnswer: 472","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -u - 36. Suppose 0 = 3*g - u, g + 2*g = -2*j + 6. Let z(q) = 4*q**2 + 5*q - 2. Is 4 a factor of z(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(27)\/(5*sqrt(36)\/sqrt(4)))**2.\nAnswer: 28\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.3, -3\/85, 4 in descending order.\nAnswer: 4, -3\/85, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4077 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**18\/j*j**15\/j*(j\/(j**(-8)*j*j))**35 assuming j is positive.\nAnswer: j**276","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5011347 - 0.039?\nAnswer: -5011347.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**5 - 5448*p**4 + 107568*p**3 - 277216*p**2 - 2574336*p - 3091968 = 0. Calculate p.\nAnswer: -2, 12, 1342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 84, 164, 316, 564, 932?\nAnswer: 1444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 62*h - 5759. Calculate the remainder when 117 is divided by c(94).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76.25 times -4.2\nAnswer: -320.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 3 + 6 + 4 + 0\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 0.4, 14, 0.1, -91?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1348*r + 1347*r - 5*n - 62 = 0, 3*r + n = -4 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -363 - -403. What is the remainder when t is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) - (sqrt(1100) - (sqrt(1100) + (4*sqrt(1100) - sqrt(1100)) + sqrt(1100) + sqrt(1100) + sqrt(1100)))*1 - -6*2*sqrt(1100))**2 + -5.\nAnswer: 397095","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, -75, -15, -1.2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + 1 + (-10123 - -10051).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 12, o: 3, a: 1}.\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-440)\/86724*-146*-18.\nAnswer: -40\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000009041 rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -574 - -578. Solve -3*z + 5*x = -6, -2*z = x + x - i for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*o - 305 = -377 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of z**7\/210 + z**6\/80 + z**5\/120 + z**2 - 4*z. Let c(r) be the first derivative of g(r). Determine x, given that c(x) = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 3*b - 320 = 0. Suppose -5*q - 3*s + 99 = -81, 144 = 4*q + s. Let a = b - q. Is 14 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 240 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(7) + -1) + 5)**2 - (3*sqrt(84)*-6 + sqrt(84))\/sqrt(12).\nAnswer: 25*sqrt(7) + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.36 (b) -17 (c) -76 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*s - 8 + 158 = 0 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 3*f**2 - f)*(293*f**3 + 78*f**3 - 33*f**3).\nAnswer: 1014*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137752882?\nAnswer: 2, 68876441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 484*q - 5252 = 585*q for q.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8880.\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -125741, -251356, -376971, -502586, -628201, -753816?\n\"Answer: -125615*i - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -52796 divided by 4?\nAnswer: -13199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(2070\/(-1340))\/(-207)?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1484*j - 5 = -1489*j. Let o be (-6)\/9 - (-22)\/24. What is the nearest to o in 12, -2\/9, j?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -z**4\/24 - 4*z**3\/3 + 498*z**2. Calculate r(14).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of 0*r**2 - 1\/2*r**6 + 0*r**3 - 4 + 3\/4*r**4 + 0*r**5 + 0*r. Factor f(x).\nAnswer: -3*x**3*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*k**2 + 0*k**2 - 5*k**2)*(-8580*k + 4290*k + 4290*k - 25*k**2 - 3520*k**2) to the form t*k + u*k**4 + z + c*k**3 + l*k**2 and give u.\nAnswer: 7090","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1011 - -132?\nAnswer: -435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*l - 29*l - 46*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dmuzt. Give prob of sequence mdzu.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*d - 74 - 61 = 90 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2. Let p(i) be the first derivative of -145*i**3\/3 - 60. What is n(p(a))?\nAnswer: 42050*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 22*y**2. Let a(h) = -5. Let c(p) = 2. Let j(i) = -6*a(i) - 14*c(i). Let d(z) = -z - 9. Let l(q) = -2*d(q) - 9*j(q). Calculate g(l(o)).\nAnswer: 88*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 22)\/(-1 + (-24)\/(-21)). Find the common denominator of (-3 + g\/54)\/((-1)\/11) and 73\/69.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9\/46 = 254853?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/8 and 47\/100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/8)*z**8*((z\/z**(1\/4))\/z)\/z*z\/z**(2\/3))\/((z**(-1)*z)**(3\/17))**(-7\/6) assuming z is positive.\nAnswer: z**(167\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 48 - 10 = 5*g, 0 = -4*g - 3*l + 18. Let f = 96 + -94. Solve -1 = -w - 4*h, -w = f*w + 3*h + g for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/15*-15 + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 11:59 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 164*g**2 + 0 + 8 as l + n*g + r*g**2 and give r.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c = -6*c + 19 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 3*v**2 - 1107*v + 7602 = 0.\nAnswer: 7, 362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*b = 44*b + 3772 for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-72 - 8) + 13 - (71 - 64)\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 - 34 + 0)*(51*d - 22*d - 6 - 18*d) as y*d + z and give z.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2599562742.\nAnswer: 2, 3, 7, 4933, 12547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 151 + -151.273. Let h = g - 1.557. Round h to 1 dp.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*r + 30 = -5*b + 68*r, 0 = -3*b + 5*r - 18 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2851106*r**2 - 2177041*r wrt r.\nAnswer: 5702212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + sqrt(288)\/sqrt(9))*-6 + -2.\nAnswer: -2 + 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13806 - 39181. Let a = 1014931\/40 + o. Calculate the common denominator of 115\/14 and a.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*17*(6\/(-8))\/(54\/(-72)). What is the highest common divisor of v and 261?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/9))**(-26) assuming z is positive.\nAnswer: z**(-52\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d + 3*d + 4*d - 3*d**3 to the form u*d + h*d**3 + z + y*d**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -35*d**2. Let l(c) = 21*c**2 - 11*c. What is l(m(v))?\nAnswer: 25725*v**4 + 385*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 0. Let f be p + -1 + 1 + -1. Suppose 2 + f = l. Is l >= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*q**3*r**2 - 614*q**3*r - 76*q**2*r + 2*q*r**2 + 3*q*r + r**2 wrt q.\nAnswer: -48*r**2 - 3684*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 7*b**2 - 3*b. Let u(s) = s**2 - s + 1. Let z(g) = o(g) - 6*u(g). Suppose 127*d - 134*d - 42 = 0. Determine z(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -5*y + 79 + 66, -3*y = 4*q - 175. What is the greatest common divisor of 370 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-3084))\/(35\/(-5)*68\/4998*-7).\nAnswer: -2\/257","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.361548576 rounded to 4 decimal places?\nAnswer: -0.3615","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**5 - 156*t**4 - 654*t**3 - 996*t**2 - 669*t - 168.\nAnswer: 3*(t - 56)*(t + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6210)\/1380*76\/18.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4636, -18511, -41636, -74011?\nAnswer: -115636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*((2*sqrt(80))\/sqrt(8) - ((sqrt(110) - sqrt(110)*1) + sqrt(110))\/sqrt(11)))\/((sqrt(126)\/(sqrt(7) + -2*sqrt(7)))\/(1*sqrt(324))))**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122326.\nAnswer: 2, 31, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 512509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, s: 2, k: 5, p: 1}. Give prob of sequence usu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 455673 is divided by 1434.\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 26. Let x = 33 + -33. Is x less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22 + -4?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 4)*(2*i - 2*i + 6*i)*(-364 - 43 - 170 - 320 - 33).\nAnswer: -39060*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 3:27 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 10:47 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -261*p**2 - 126*p + 27049. Let n(b) = -68*b**2 - 31*b + 6763. Let k(o) = 2*j(o) - 9*n(o). What is the first derivative of k(v) wrt v?\nAnswer: 180*v + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/((-1504)\/20398) - 102.\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**4 + 102*z**3 + 434*z**2 - 1182*z + 644 = 0. What is z?\nAnswer: -46, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(17) - sqrt(425)) - (3*(sqrt(17) - (sqrt(17) + -2)))**2.\nAnswer: -34 - 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - l**2 - l + 1. Let w(y) = 3*y**5 + 21*y**4 + 40*y**3 + 44*y**2 + 17*y - 5. Let d(z) = -5*j(z) - w(z). Factor d(r).\nAnswer: -3*r*(r + 1)**3*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -4*j + 5. Let k(w) = 12*w - 14. Suppose -6*s - 28*s - 136 = 0. What is s*k(x) - 11*g(x)?\nAnswer: -4*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(4\/9)*y**(-19)*y assuming y is positive.\nAnswer: y**(-158\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 s when two letters picked without replacement from {l: 2, s: 1, m: 1, i: 1, o: 1, e: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 814021.2km?\nAnswer: 814021200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 2*o - 0*o - 4, 0 = -o - 4*f. Find the third derivative of -3*a**3 + 5*a**2 - 2*a**2 - 14*a**2 - 12*a**2 - 10*a**o wrt a.\nAnswer: -240*a - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10439 at least -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 6)*(-2)\/(-2). Let f = 10.33 + -10.53. Let y = 0.2 + 0.3. Which is the closest to s? (a) 2 (b) f (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00708754 rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -43912 - 39?\nAnswer: -4394b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 161 and 1127.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -19*c + 7. Let n(d) = 37*d + 37. Let x(t) = -35*t - 25. Let h(j) = 3*n(j) + 4*x(j). Calculate -5*h(i) + 8*m(i).\nAnswer: -7*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = b - 4*b + 13573, n + 22599 = 5*b. Suppose 2*i = -5*y + b, 5*y = 7*y - i - 1804. What is the hundreds digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 + 1 + 2*t)*(-372 + 162 - 133) as b + m*t and give m.\nAnswer: -686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-2))\/((-40)\/1020). Let w = u - 41. Calculate the smallest common multiple of w and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -5*q**2 + 27*q + 175. Let g(f) = 16*f**2 - 81*f - 528. Let w(p) = -6*g(p) - 19*n(p). Let m be w(-17). Solve 19 = m*i - 46 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, m: 11}. What is prob of picking 2 j?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 350 a factor of 474632550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 139189.17 to the nearest one hundred.\nAnswer: 139200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*k = -5*s + 51*k + 205, s - k = 34. Sort 6, s, 2 in descending order.\nAnswer: s, 6, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*p - 17*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 15780, 2\/15, -38.49?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/(-1 + (-70)\/(-21))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 250, 5, -2\/19, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -11*h - 3. Let i(f) = -5*f - 1. What is -7*i(d) + 3*l(d)?\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10854480 and 284.\nAnswer: 10854480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3332728 (base 10) in base 13?\nAnswer: -8c8c39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vcvwdvvdw. What is prob of sequence cdvd?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -139.\nAnswer: 10\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 240720 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3662 - 95259\/26. Calculate the common denominator of 5\/18 and x.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1\/2, -0.4, 3, 5 in decreasing order.\nAnswer: 5, 4, 3, -0.4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2326523 (base 10) in base 3?\nAnswer: 11101012101112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -22124, -17461, -12796, -8129?\n\"Answer: a**2 + 4660*a - 26785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000137948 to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 0*j + 0*j)*(2 + 0 + 0) - 8*j + 83 - 14 - 50.\nAnswer: -12*j + 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**4 + 536*g**3 + 15840*g**2 = 0. What is g?\nAnswer: -90, -44, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 10:22 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 2*d - 3*d)*(2 + 1 + 0)*(-4 - 9*d + 4).\nAnswer: -54*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.132289686 to 3 dps.\nAnswer: 0.132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10, 6, -4, -20, -42, -70?\n\"Answer: -3*d**2 + 5*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 6:19 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2245*f + 2296*f - 6709509. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -601 + 614. Solve -5*k - w = -33 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2 + 117*o + 363. Let t be y(-3). Which is the closest to 26? (a) -1 (b) t (c) -4 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -3*l**4\/4 - 159*l**3\/2 - 9315*l**2\/4 - 11625*l - 9375 = 0.\nAnswer: -50, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/4 - 473*w\/4 - 118.\nAnswer: -(w + 1)*(w + 472)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(171)\/sqrt(9) + -3.\nAnswer: -6*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28854 + 576961\/20. Find the common denominator of d and 35\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 132 (base 6) to base 9\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 7, 2\/5, -14, -2.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*u + u + 63, 3*u = -12. Does 37 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -399 = -92*u - 675 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (20\/(-12) - -1) + 8\/3. Let g(y) = -2*y**3 + y**2 - 2*y + 2. What is g(n)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 16*y**2 + 13*y + 35. Let j be (-2)\/(-4) - 203\/(-14). Let i be z(j). Solve -7 - i = 4*q - s, 5*q + 4*s - 6 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 44, 56, 92, 164, 284?\n\"Answer: 2*w**3 - 2*w + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((1*(sqrt(220)*-2 - sqrt(220)))\/sqrt(10))\/(sqrt(396) + sqrt(396) + -4*(sqrt(396) - -2*sqrt(396)) + sqrt(396) - sqrt(396)) + -1)*2*5)**2.\nAnswer: -10*sqrt(2) + 201\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -27*y + 22. Let t(s) = 5*s - 4. Let u(f) = 2*r(f) + 11*t(f). Suppose 3*z = -0 + 6. Let a(l) = -l**2 + 0*l**2 - l**z. Calculate a(u(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -6. Let j = h - -10. Suppose 3*o - 8*o = q - 228, 2*o = 2*q + 84. What is the remainder when o is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11*(98\/490)\/(143\/(-65)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 869011 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0)**(-2\/29))**(-22)*(i\/(i\/(i\/i**(-3\/4))*i)*i**1)**(-23\/4) assuming i is positive.\nAnswer: i**(-161\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 4 = -5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 511, 1015, 1519?\nAnswer: 2023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*f = -91, q = 3*f - 0*f + 41. What is the remainder when q is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(14*(-4)\/(-16)). Put y, -3, -4\/7 in ascending order.\nAnswer: -3, -4\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.9 + -8. Which is the nearest to x? (a) -4\/5 (b) 3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 10*t - 4. Let f be d(-5). Suppose 101 - f = 10*w. Calculate the remainder when 28 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18742847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100) + -6*(sqrt(100) - sqrt(100)*-2))\/((sqrt(100)\/sqrt(5)*1)\/sqrt(4)).\nAnswer: -34*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 245783.1ug to milligrams.\nAnswer: 245.7831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 9*w + 30. Let v be 26\/10 + 6\/15. Let g(j) = -3*j + 1 + v*j + 7*j + j**2. Give g(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3132000121 (base 4) to base 11\nAnswer: 571220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 206759 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7937*f - 45908 = 9933*f for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5501 divided by -48\nAnswer: 5501\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -473.784 - -470. Let s = x + 3.3. Round s to two decimal places.\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 381 divide 1005053616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3780 divided by 36?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 0 (b) -0.9 (c) -2\/5 (d) 2 (e) 87\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/10584 and 27\/219716.\nAnswer: 11864664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - -51. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 9*a - 8. Suppose 5*d - 2*d = -111. Let t = 45 + d. Calculate the smallest common multiple of c(10) and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + 0 + 0 - (-1*sqrt(68)*2 + sqrt(68))**2) + 2.\nAnswer: -66 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (20 - -8) - (10 - 11).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b**4 + 4604*b**3 - 27480*b**2 - 128*b + 146560 = 0 for b.\nAnswer: -2, 4, 1145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.09 less than -397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 220 (base 12) to base 15\nAnswer: 15c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of v**3 - 1. Let p(a) = -7*a. What is h(p(t))?\nAnswer: 147*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134449212?\nAnswer: 2, 3, 11204101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120044 + -0.5.\nAnswer: -120044.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49 - (-16 + 67) - 27?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 4*c**6\/15 + c**5\/30 - c**4\/24 + 2*c**2 + 7. What is the third derivative of h(w) wrt w?\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 601 * -0.3\nAnswer: -180.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + f - 100 = 0, 13 = -2*k - 2*f + 117. Let w = k - 69. Let j = w + 26. Solve -3*s - 2 + j = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.4, -2\/1409, -33 in ascending order.\nAnswer: -33, -0.4, -2\/1409, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 989*y + 987*y - 264 = 2000*y for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 0*x = 0. Suppose 4*v = -2*t + 82, x*t + 2*t - 64 = 2*v. Suppose 0 = -4*j + j - s + 65, 0 = -2*j + s + t. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 200\/6 - (-34)\/(-102). Let l be (d\/12)\/11*(0 - 4). Let s(z) = -21*z**2 + z. Determine s(l).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 463 = p, -5*p + 26*c + 2265 = 21*c. What is the remainder when p is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -610409, -1220823, -1831237, -2441651, -3052065, -3662479?\n\"Answer: -610414*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -o + y + 6, 0 = 3*o + 3*y + 6. Suppose 0 = 4*s + 3*d + 137, o*s + 5*d + 17 + 83 = 0. Let k = -32 - s. Solve -k*f = -4*f + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1.7, 0, -0.0028, -12, 0.2 in increasing order.\nAnswer: -12, -5, -1.7, -0.0028, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 103*a**3 - a - 153.\nAnswer: 618*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0216*14.\nAnswer: -0.3024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5343491 * 0.29.\nAnswer: 0.154961239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3328 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**3 - 6*a**2 + 74*a - 260. Give m(4).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23423 and 174680.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-26336)\/(-112))\/(36\/28 + -1)?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a + -ff52d?\nAnswer: -ff523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 7*w**3 + 4 - 4*w**3.\nAnswer: -11*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -2) + (-1 - -1). Let d(x) be the third derivative of x**3\/3 - 2*x**2. Let n(o) = o + 7. Let a be (-49)\/(-70)*5*-2. Give a*d(y) + t*n(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00160065 to 4 decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1086 + -1085.9999381. What is y rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) - (5*sqrt(91) - sqrt(91)))*1*-1)\/(sqrt(42)\/(sqrt(6)*-1*2)).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/58, -2\/5, 4\/9, 2, -9 in decreasing order.\nAnswer: 2, 4\/9, -1\/58, -2\/5, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 4, -1, -13 in descending order.\nAnswer: 4, -1, -13, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 480214184 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*s**3*v**3*x + s**3*v*x**2 + 26*s**3*x + s**2*v**3*x**2 + 7*s**2*v - s**2*x - 2*v*x**2 wrt s.\nAnswer: -24*v**3*x + 6*v*x**2 + 156*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(5\/24) + 1. Let w = i + -17. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4*g = 382, -65 - 99 = -2*a + 4*g. Is a a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10591 + 10626. Solve b*o + 116 = -94 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 395 - 84*a**2 + 3344*a + 778 + 80*a**2 + 759 + 1416 = 0. Calculate a.\nAnswer: -1, 837","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2768, -5501, -8234, -10967, -13700, -16433?\nAnswer: -19166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -295 divided by 753\nAnswer: -295\/753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2996 - -3317. What are the prime factors of u?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132994*c - 30 - 132992*c - 2 - 39 - 132999*c + 398984*c.\nAnswer: -c - 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 12 = -4*g + 2*m, -15 = 4*g - 5*m for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 71*s + 1526. Determine y(-17).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -26773380 divided by 30015\nAnswer: -892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 = -4*g - 44. Suppose 13 = -a + g. Let h = -13 + a. What is the highest common divisor of h and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3725 < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 3412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, h: 4, k: 3, r: 1, o: 5}. What is prob of sequence rosk?\nAnswer: 5\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, -0.1, -4659611?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38320757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 95 = 289. Suppose 386*m = i*m - 20. Which is bigger: -68\/7 or m?\nAnswer: -68\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.108 - 0.208. Let z = -1141.4 + 1141. Which is the nearest to -0.048? (a) y (b) -5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 303.60012124 - 303.6. What is d rounded to 7 decimal places?\nAnswer: 0.0001212","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(18*73\/(-95922)).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 10:51 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 29)\/(-1 + 0). Let j be 4\/20 - u\/(-15). Let h be 3*(0 + -2)\/(-2). Solve -h*m = -m + j for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -91.\nAnswer: 45.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -267 + 1623. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -45*q - 16. Let x(r) be the second derivative of 3*r**3\/2 + 3*r**2\/2 + 1431*r. What is -2*t(u) - 11*x(u)?\nAnswer: -9*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -838192005 divided by -3.\nAnswer: 279397335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 1385 = -1375. Is (-20649 + 0)\/(y + (-13)\/2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2881993 and 2397?\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iriiiiiaiihi.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 108\/(-891)*22\/(-12). Which is the nearest to -1? (a) 2\/13 (b) v (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*q + 14307 = -303*q - 329*q for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 472918381 to the nearest integer?\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*160\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*d + 64 = 0. Suppose 84*n - 89*n - 3*a = -589, 2*n - 236 = -a. Let j = n + -113. Calculate the remainder when d is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31012201122 - 1100?\nAnswer: 31012200022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -17. Let s(v) = -9*v**3 - 6*v**2 + 6*v. Let b(l) = -l**3 - l**2 + l. Give p*s(h) - 6*b(h).\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3510 and 2160.\nAnswer: 28080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-2\/7))**(-38) assuming d is positive.\nAnswer: d**(-190\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of 17*h**4\/24 + 22*h**2 - 2*h. Let f(g) be the second derivative of -2*g**3\/3 - 44*g. Calculate q(f(n)).\nAnswer: -68*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from acocbcddcaccabcoaa. Give prob of sequence acc.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -451772*p**2 + 343456 with respect to p.\nAnswer: -903544*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 8*m**2 - 14*m + 5. What is x(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2109592949 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5*(-2)\/(-2) + 0. Suppose -13385*d + 850 = -13335*d. Solve -d = -6*p - h for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 2 + 10. Is (d\/(-5))\/(8\/640) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 22*v - 112. Determine l(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38278 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t - t + 549 - 565. What is c(18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2098541 to the power of 1\/3, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -1379*q + 435749. Determine h(316).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6744628?\nAnswer: 2, 11, 153287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-7)\/28)\/((-2)\/40). What is the units digit of (0 + s\/5)*55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*w + 6*w + 6*w)*(-2 + 4 - 4)*(0 - 3 + 6) in the form f*w + i and give f.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -8.68.\nAnswer: -34.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 4*i + 2. Determine g(-4).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1*i)**(-12)\/((i*i\/(i*((i**(-1\/5)*i*i)\/i)\/i))\/i)**(2\/5)*(i*i\/(i**(4\/3)\/i)*i**(-8))\/(i\/(i**(-1\/6)\/i)*i*i\/(i*(i**(-5)*i)\/i)) assuming i is positive.\nAnswer: i**(-1929\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w - 4*w - 18*w)*(w**2 - w**2 + w**2) + (2*w + w - 5*w)*(-2*w - 2*w**2 + 2*w) + w**3 - w**3 + w**3 to i*w**2 + b + r*w**3 + x*w and give r.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 13 - 7. Calculate the lowest common multiple of t and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 6660600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 39*g + 3 - 202*g - 13 - 138*g.\nAnswer: -301*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 27 = 3*f, -5*f + 13 - 46 = -2*k. Put 3, -2, k in ascending order.\nAnswer: -2, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 41*k - 6634*k**2 + 47*k - 192 + 6638*k**2 = 0. Calculate k.\nAnswer: -24, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/25*(-20)\/6. Suppose 0 = -4*p + 202 - z. Let a = p + -44. Calculate the greatest common factor of 30 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, z: 5}. Give prob of sequence zhz.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5445 = -312*o + 202*o - 385*o for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*a + 122059630 = -35*a + 36*a. Round a to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 312\/3393*(-18)\/(-16)*(-122)\/183\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35244)\/(-2178) - 32\/2.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 427389 and 2614?\nAnswer: 1307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52 (base 16) to base 3.\nAnswer: -10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bif when three letters picked without replacement from yiiyibybif.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/((-24)\/9))\/(-3))\/(-1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 3*v + v)*(2*v - 4*v + v) + (-2 + 2 - 3*v)*(0*v - 2*v + 0*v) + (2*v - 2*v - 2*v)*(-5 + 5 - 2*v).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 4*d + 11, 2767*v - 24 = d + 2771*v for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 66224 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34691\/4885 - 3\/1954. Let j = 1966086 + -39335329\/20. Let n = -683 - j. Calculate the common denominator of n and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137969113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 2:27 AM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 399 divide 3242194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 729145.7 millilitres to litres.\nAnswer: 729.1457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*g + 1796 - 1175 = 0 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 - 5*c + 16*c**2 + 16 + 8*c**2 + 41*c.\nAnswer: 4*(c + 1)**2*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 523229 to the nearest integer?\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -567*i**3 - 351*i**3 - 2*i - 213*i**2 - 562*i**3 + 558*i**3 - i**4 + 36*i**2 wrt i.\nAnswer: -24*i - 5532","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439 is divided by 74?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 + 1019 = 5*k. List the prime factors of k.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 5*l + 224 - 169 = 0, 8*l = -3*q + 33 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 6*((3*2*sqrt(88))\/sqrt(4))\/((sqrt(11) - 1*sqrt(396))*2).\nAnswer: -18*sqrt(2)\/5 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7971 is divided by 3983?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, m: 2, y: 2, d: 7, t: 1}. Give prob of picking 1 t, 2 d, and 1 m.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 477.6 and 0.1.\nAnswer: 47.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -2\/5*n**3 - 1\/100*n**5 + 3\/2*n**2 + 1\/10*n**4 + 5*n + 0. Let y(i) be the first derivative of s(i). Factor y(z).\nAnswer: -3*(z - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 3*z + 5*z)*(-3*z + 6*z - 2*z) - z**2 - 4*z**2 + 2*z**2 - 6 + 1 + 2*z + 4 + z**2.\nAnswer: -z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 12*l**2 + 10*l - 8. Let m be a(-11). Suppose 0 = -3*o + 6 + m. Suppose n - 20 = -n. What is the least common multiple of o and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 j, and 1 n when four letters picked without replacement from ujjjnueuuununzjzn.\nAnswer: 12\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - (-3)\/5)*5. Let u = -8540 + 8539.9. Which is the nearest to f? (a) -5 (b) u (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 - 14. Let l(g) = 0*g**3 + 7*g - b - g**3 + 5 - 7*g**2. Let w be l(-8). Solve n + 4*n + 25 = w for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 6:43 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10313792?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -3*s - 26. Let t = 6 + s. Let u(r) = -r + 1. What is the lowest common multiple of 20 and u(t)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (9 - 7) + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-4)\/(-26) - (-4)\/(-26)) + 183?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657488058 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 461162.\nAnswer: 3228134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.684 + -0.784. What is the nearest to -1\/4 in z, 0, 6, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2298?\nAnswer: 2, 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -2\/5, 5, -7629?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1000489 = 33521*r - 11671*r - 594561 for r.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/24*232\/(-7018)*11.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 1:28 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) 2 (b) -1 (c) -56 (d) 3 (e) 451\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 475*g + 2855. Calculate q(6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 157658161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (4 - (-4 - -12)) + 69 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 327 - 276. Suppose u = 73*r - 90*r. What is the closest to r in 2\/9, 3, -0.3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -4*f**3\/5 + 6044*f**2\/5 - 418000*f - 2096048\/5 = 0.\nAnswer: -1, 538, 974","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 4, 1\/4, -4, 0.01.\nAnswer: -4, -0.06, 0.01, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - -3) + -11 - (-192)\/(-27)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 15*g + 1. Let t(v) = v. Let d(q) = -40*t(q) + 5*z(q). Let j be d(4). Suppose 3*p - j = 1625. What is p rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-19)*u**(-22)*u*u*u assuming u is positive.\nAnswer: u**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0 (b) -3054 (c) -5 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6336) + sqrt(6336)*4)*2)\/(sqrt(4) - (sqrt(576)*-2 + sqrt(576)) - (sqrt(196)*-2 + sqrt(4))).\nAnswer: 60*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(459)\/(sqrt(9)*1) + -1*sqrt(3264))\/(sqrt(243)*-1 + sqrt(243) + sqrt(18)\/(sqrt(6)*2)).\nAnswer: -14*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 32561748 and 1.65237?\nAnswer: 32561746.34763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -30210 (base 13) to base 11\nAnswer: -59703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2117414?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -102, -182, -238, -270, -278, -262?\n\"Answer: 12*p**2 - 116*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 24 = 4*j - x, 2*x = 4*j - 102. Suppose -5*p = a - j, 0 = 5*a - a - 3*p + 7. Suppose 2*y - a = 44. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -7*q + 29. Suppose -38*t - 24 = -41*t. Suppose 42 = -t*b - 70. Is p(b) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 4. Suppose 9*r = -6*r + 105. Calculate the highest common divisor of r and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -18.84, 2, 4?\nAnswer: -18.84","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1108?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2602103.\nAnswer: 7, 127, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rara when four letters picked without replacement from aqpmapprp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-1)\/(-34)*2). Let w = 12 - d. Let i = w - -18. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7183174571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 214 + -254. Which is greater: -41 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4256796, -4256811, -4256850, -4256925, -4257048?\n\"Answer: -2*j**3 - j - 4256793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12934660.\nAnswer: 2, 5, 151, 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (1 - (-35 + 24) - -58).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 7*b**2 - b + 5. Let a(z) = -2*z**2 - z - 1. Determine 3*a(w) + d(w).\nAnswer: w**2 - 4*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3831759 - -7723359. What is i rounded to the nearest 10000?\nAnswer: 3890000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*l + 14*l - 32*l + 4*l**2 to i*l**2 + o*l + u and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 170, 640, 1438, 2576, 4066, 5920, 8150?\n\"Answer: 2*q**3 + 152*q**2 + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 3*i + 449 + 2419, 4*b + i = 3829. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i + 105 = 5*s, 2*s - 278 = -5*i - 227 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.4, 2, 17.7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 41485222483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -119\/2 + 61. Which is the nearest to l? (a) 5 (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4844 and 280?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 x when three letters picked without replacement from gguxogxgegeeggooxeox.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 175700 divided by 7\nAnswer: 25100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w. Let c(u) = -164116*u. Determine a(c(l)).\nAnswer: -164116*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 33\/4 + -25 + (-1782)\/(-72). Let o(i) = 3*i**3 + 21*i**2 - 8. Let k(z) = z**3 + 10*z**2 - 4. Let q(j) = -5*k(j) + 2*o(j). Determine q(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(33) - (sqrt(33) - sqrt(132)))*4)\/sqrt(11) + (sqrt(6)\/sqrt(2) + -4)*-1)**2.\nAnswer: 56*sqrt(3) + 168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45906 is divided by 22931?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7054498?\nAnswer: 2, 11, 320659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 301185621?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*l - 46*l = -148*l - 1025 for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 35 = -10*l + 5*p, -22 = 4*l - 2*p. Let z = 4 + l. Suppose -3*h = -z*h - 108. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 14*l - 12. Suppose 161 = 15*g - 4. Suppose -3*s + g*s = 40. List the prime factors of i(s).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/2)\/(-11)*2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9a276 (base 11) to base 4.\nAnswer: -203133330","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 - (43 - (-49 - -131)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1756 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 202441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h + 8*h + 45 + 0*h - 11*h - 2*h**2.\nAnswer: -2*h**2 + 3*h + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**2 - 67*j - 29. Let n be z(34). Solve 0 = 3*d + p - 6, -n*d - 4*p + 1 = -2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -1. Let f = 1.9 + -2. Let l = f + -0.4. Which is the closest to p? (a) 0.3 (b) l (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15 - -16)\/((-1)\/(-6)*2). Let r(u) be the third derivative of 0*u + 0 - 1\/108*u**4 + 1\/270*u**5 + 0*u**x + u**2. What is c in r(c) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of t**4\/2 + t**2\/2 - 1. Let i(y) = 3*y + 29. Let s be i(-10). Determine z(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5681?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(24) + sqrt(24) + sqrt(216) + sqrt(24) + sqrt(24))*1)\/sqrt(6))\/((sqrt(128) - -3*sqrt(128)*2) + 1*sqrt(128)*6).\nAnswer: -21*sqrt(2)\/104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -334 = -2*l - 322 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 830074789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(5 + sqrt(832)*2 + 0 + sqrt(832) + (sqrt(832) + 0 + sqrt(832))**2 + sqrt(832)) + -1)*5.\nAnswer: 160*sqrt(13) + 16660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12 - 770\/(-14)) + 11. Solve -21*c = -12*c - w for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2 + 3*r - 3. Let t(a) = 5*a**2 + 7*a - 7. Let v(x) = -7*p(x) + 3*t(x). Let l(g) = 9*g**2. What is v(l(k))?\nAnswer: 81*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2706 + 2705.6. Which is the nearest to 0.1? (a) i (b) -5 (c) -96 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 6:49 PM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.07 + -7.93. Let u = 5 + w. Let s = 0.173 + -0.573. Put s, -5, u in increasing order.\nAnswer: -5, u, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -178 + 360 - 182 - 475*m to the form l + i*m and give i.\nAnswer: -475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r + 10. Let w be k(10). List the prime factors of (w - -8)*(-8)\/(-16).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 3:37 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 2 - 5. Let q be 4\/(1 - 5) + w. Let s be (q\/(-3))\/(2\/6). Solve 0 = 3*z, -2*c + 2 - s = z for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 46 + -3003523?\nAnswer: -3003444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {a: 1, p: 3, f: 9, j: 5}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 41743114001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3243013\/5053425 - 1179\/1775. Find the common denominator of -22\/13 and o.\nAnswer: 2847","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wjljllllllwjw. What is prob of picking 2 j and 1 w?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/251 and 95\/178.\nAnswer: 44678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.154 - -0.14. Let d = p - 0.406. What is d rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12800)\/144)\/16)\/(56\/252)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 3*m + 13 = -8*m - 22, 5*y - 3*y - 2*m = 32 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 f when four letters picked without replacement from ffssff.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -29*j - 36. Let r be s(-2). Suppose -12*t + 14 + r = 0. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 5 + 2 + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-3\/5)*u))**(-2\/87)\/((u*u**(-3\/7))\/u**(-4)) assuming u is positive.\nAnswer: u**(-4654\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 5, -13036, -16 in increasing order.\nAnswer: -13036, -16, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 12*w**2 + 5. Let y be s(12). Suppose -3*z = -y*j - 4*z + 181, -j + 5*z = -31. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + 2 - (36 - 18)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and 0.27?\nAnswer: 2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1158 + -8955. Let t = v - -95797. Suppose o + o = -5*g - t, 2*g = 4*o + 176000. Round o to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-121)\/726*((-14)\/(-2) + 1). Which is the third smallest value? (a) 4\/7 (b) z (c) 22\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -23155, -46314, -69485, -92674, -115887, -139130, -162409?\n\"Answer: -y**3 - 23152*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4821.3 and -24.2?\nAnswer: 4845.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4784*b**3 + 2373*b**3 + 2421*b**3.\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - 3*x + 6, -29*n + 84*n - 2*x = 27*n + 29*n - 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-13 + (2 - 14)) - (-9 + 1).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 838054.7ng to micrograms.\nAnswer: 838.0547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -58046, -58045, -58028, -57989, -57922?\n\"Answer: r**3 + 2*r**2 - 12*r - 58037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36746540*p**5 - p**2 + 137497*p - 53?\nAnswer: 2204792400*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 301 = 5*f - 69. Suppose 0 = 3*z - 0*z - 6. Suppose f + 24 = z*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u. Let o(d) be the first derivative of -4*d**3 + 7*d - 44. Let r(q) = 35*q**2 - 20. Let x(p) = -17*o(p) - 6*r(p). Give x(b(w)).\nAnswer: -6*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + (-32)\/14)*-14. Solve -10 = -2*l + h*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/8 (b) 0.1 (c) 1118 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.12 - 0.12. Let f = -6 + d. Let b = 0.09 + -5.09. What is the third smallest value in b, f, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -389, 96, -26, 3 in descending order.\nAnswer: 96, 3, -1, -26, -389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of 2\/5*k**5 + 0*k**2 + 1\/12*k**4 + 21 - 22*k + 0*k**3. Let b(d) be the first derivative of t(d). Give b(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + -1 + 40*11\/(-55). Sort 5, m, -5, -1\/4, -3.\nAnswer: m, -5, -3, -1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 56888238?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 - 25. Sort -4, 2, l in ascending order.\nAnswer: -4, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(128) + sqrt(128)*-3 + 3 + 2 + 5*(0 + sqrt(128) + sqrt(128) + 3 + sqrt(128) - sqrt(128) - sqrt(128)))**2.\nAnswer: 1104*sqrt(2) + 1681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33 by -2935.\nAnswer: 33\/2935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of w**4\/4 - w**3\/3 - 21*w**2\/2 + 45*w + 5058. What is f in m(f) = 0?\nAnswer: -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17019 divided by 183.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2343193667.\nAnswer: 83, 28231249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -110038, -110503, -111770, -114241, -118318, -124403, -132898?\nAnswer: -144205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 15760 = -4*c, 36*c + 23650 = 3*r + 35*c. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30203618?\nAnswer: 2, 37, 431, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*x = -23*x - 40936. Let v = x + 734. Factor 0 + 1\/3*w**4 + 2\/3*w**v - 1\/3*w**2 - 2\/3*w.\nAnswer: w*(w - 1)*(w + 1)*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*j + 199*j = 5148. Suppose 11 - 5 = a. Calculate the highest common factor of a and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50415030 to the power of 1\/2, to the nearest integer?\nAnswer: 7100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -a - 10. Suppose -p = -a*p + 4. What is the third derivative of -2*u**6 + u**2 + p*u**6 - 3*u**2 wrt u?\nAnswer: 240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = g - 4, 0 = 3*g - 2*l + 4*l - 12. Let b(m) = -g - 3*m**2 + 4 + 10*m**2. Let q(s) = 3*s**2. Determine b(q(j)).\nAnswer: 63*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from qyyqyy?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -76905.036171 + 76905. What is o rounded to 4 decimal places?\nAnswer: -0.0362","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -180, -761, -1716, -3033, -4700, -6705?\n\"Answer: 2*x**3 - 199*x**2 + 2*x + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -89.4617 + 0.4617. Is z less than or equal to 32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (14 - (-169)\/(-13))*(0 - -789)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - f = -70. Suppose z = -z + f. Suppose 0 = -q + t + 5, -t = -q + 2*t + z. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 1 + 2 = -d, 2*k - 12 = 4*d. Solve -m - 3 = -k*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25*(-5)\/((-150)\/12) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37877*n**2 + 3 - 47523*n**2 - 3 to g + z*n**2 + f*n and give z.\nAnswer: -9646","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47143, 59641, 72139, 84637, 97135, 109633?\nAnswer: 122131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -19268843\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4*w - 18 = 0, -2 - 2 = -3*a + w. Suppose -350 - 68 = -4*b + 2*o, -5*o + 15 = 0. Suppose 2*n + 3*f - b = -a*f, 53 = n - 3*f. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*b = 4*b + 19. Let l be ((-200)\/15*-33)\/b. Calculate the greatest common divisor of l and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n = -4419*j + 4415*j + 146, 0 = -4*n + 5*j - 207 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 20 = 4*b. Let p(w) = -w**2 - 5*w + 6. Let u(q) be the second derivative of q**4\/4 + 7*q**3\/3 - 17*q**2\/2 + 7*q. Determine b*u(i) - 11*p(i).\nAnswer: -i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7 + 1 - 0)\/1. Suppose z = -z + q. Suppose -z*o = -102 - 94. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2009837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 24 = 3*a. Suppose a*j = j + 8. Find the second derivative of -6*m**4 - j*m - 5*m**3 + 11*m**3 - 6*m**3 wrt m.\nAnswer: -72*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k + 1. Let d(f) = -7*f + 14. Give -d(v) + 14*l(v).\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + s + 35 = 4*n, 2*s - 4*n = -14. Suppose s*u = -495 - 123. What is the common denominator of (-15)\/(-20)*u\/(-30) and -41\/14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118475 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 - -8. Let h be g\/(-25)*(-5)\/2. Let w(k) = -k + 2. Let z be w(h). Which is smaller: 2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m - m**2 + m**4 - m**2 - 7133 + 0*m**3 + 7215 + 3*m**3 to b + o*m + h*m**2 + d*m**4 + x*m**3 and give b.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12540 = 291*b - 467*b - 484*b for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -7.952438 > 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, q: 1, a: 2, h: 3, m: 1}. What is prob of sequence almq?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - (8 - 18)) + (-3)\/(-4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 377495909 to the nearest 10000.\nAnswer: 377500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/24)\/(3\/36)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2748054.6719 - -242.\nAnswer: 2748296.6719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**4*t**(2\/25)\/t*t**(-3\/22)\/t**(9\/4) assuming t is positive.\nAnswer: t**(763\/1100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20\/3*x**2 + 0 - 2\/3*x**5 - 2*x - 4*x**4 - 8*x**3.\nAnswer: -2*x*(x + 1)**3*(x + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00527 to four decimal places.\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmrxmmccdx. What is prob of picking 1 m, 1 x, and 1 r?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 471241619?\nAnswer: 29, 67, 242533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 299500 and 3234600.\nAnswer: 16173000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -38*x - 301. Let g be f(-8). Solve q + 3 = -4*q + g*z, 4 = 4*z for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207117 is divided by 4038.\nAnswer: 1179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -35, -35, -21, 7?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 - -27.5. What is the second biggest value in 5, x, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - -4004?\nAnswer: 3443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18826.25 - 18826. Which is the smallest value? (a) -30 (b) l (c) 0.4 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -8, -29, -68, -131, -224, -353, -524?\nAnswer: -743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 232770 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -833 - -469. Let z = q + 364.0000206. What is z rounded to 6 decimal places?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 (base 14) in base 8?\nAnswer: 1455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 86\/(1*(-65)\/25 + (-117)\/(-195))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/315*5)\/((-4)\/(-30))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*p + 5*x = 31, p - x + 9 = 0. Let u be 7\/(p\/(-3))*16. List the prime factors of (-530)\/(-12) + (-4)\/u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -30322231?\nAnswer: -30322230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 3*j, 2*x + 4*j + 14 = -x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-182*(-2563)\/720902)\/((-1)\/(-34))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 29\/(-116) - (0 + (-39)\/(-4)). Let l = z - -83. What are the prime factors of l?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(2\/17))\/z*z)\/(z*z**13)*(z**(-2\/23))**26 assuming z is positive.\nAnswer: z**(-5921\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + 0)**2*4.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 15) + (-30 - -34)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 108 (b) 0.5 (c) -2\/9 (d) 2 (e) -0.4 (f) -9.7 (g) 115\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -2. Let u(f) = f + 9. Let y be u(p). Suppose -6 = -3*d + y. Solve 2*x + d = -5*s, 3 = 2*x - 7 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**2. Let k be (212268\/(-126))\/((-4)\/6). Let h(x) = 149*x + k - 2527. Calculate v(h(n)).\nAnswer: -44402*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o - o**2 + 3*o**2 + 0*o**2. Let x(l) = -l + 5. Let a be x(4). Does 3 divide g(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 235270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 709872 to the nearest integer?\nAnswer: 843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.5, -2\/13, -8, -2\/147, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 3. Let m = r + -1.5. Let i = -127 - -122. Sort m, i, 4.\nAnswer: i, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 14*y**2 + 15*y + 14. What is the tens digit of q(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11648 - 11648.2. Which is the nearest to 4\/5? (a) x (b) 0.08 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**21\/(k*k**11))**(-5\/3) assuming k is positive.\nAnswer: k**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 135 and 19264275879?\nAnswer: 19264275744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 4:16 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000147 rounded to five dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 18*c + 11382 = 0. What is the remainder when c is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3534.9 - 1818. Let f = 1867 - k. Round f to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q - 1. Let a(w) be the second derivative of w**3\/3 + 2*w**2 + 33*w. Determine a(s) + 2*l(s).\nAnswer: 4*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 1 = -2*g, -57 = -2*g + 6*g - 5*k. Let t(r) = -2*r**3 + 3*r - 3. Let o be t(g). Suppose -158 = -7*d + o. List the prime factors of d.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x + 4*x - 4*x + (-1 - 2 + 4)*(-17 - 16 + 4)*(2*x + 2*x - 5*x).\nAnswer: 24*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c - 2*c - 2*c + (-c - 1 + 1)*(6 + 12 - 31).\nAnswer: 11*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 6*x**2 - 3*x - 10. Let k(u) = -7*u**2 + 4*u + 21. Let f(o) = -9*a(o) - 4*k(o). Let h(s) = -9*s**2 + 4*s + 2. Determine -4*f(j) + 11*h(j).\nAnswer: 5*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*d**2 + 53*d**2 + 63*d**3 - 64*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 70*w - 135*w + 59*w + (0*w - 2*w + w)*(-2 + 4 + 2).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 783 and 522.\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by 85?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 0. Let w be (-1 - -3)*i\/2. Let g = 13 - 4. Solve w = 5*t - g for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -72 + 97. Let f(v) = 132*v - 83. Let a be f(r). Suppose 11*o + 335 = a. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**3 + 9*i**3 - 9*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 - 3*u**2 + 3*u**2)*(2*u - 3*u + 2*u + (u + 0 + 0)*(0 - 2 + 1) + u + 0*u - 2*u)*(13 + 3 - 4).\nAnswer: -24*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44.3 - 9.7. Let h = z - -29. Let f = 25.2 + h. What is the second biggest value in f, 0.07, -2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -3\/32 (c) 8\/21 (d) 1\/120 (e) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.321, 3, -2, 2, 4.4, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -14.02. What is the smallest value in w, -0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -445?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 3 - 3)*(-h + 0*h + 3*h) - 2*h + 5*h + 0*h)*(h**3 + 72*h**2 - 4*h + 63*h**2 - 133*h**2).\nAnswer: h**4 + 2*h**3 - 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 150 + -9?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 at least as big as -4.835?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1563591653 to the power of 1\/2, to the nearest integer?\nAnswer: 39542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -33.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*v*y**2 + 3*v - 40234*y**2 - 14520 wrt y.\nAnswer: -4*v*y - 80468*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2833+-0.41\nAnswer: -2833.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-330*i + 1 + 105*i - 309*i)*(-1 + 1 + 3).\nAnswer: -1602*i + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-16)\/48)\/((-1)\/36). Is (187 + 1)*9\/s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 4)*(-27 + 22 - 19)*(3*o**2 + 2 - 2 + (-31 - 13 + 13)*(-4*o**2 + o**2 + 2*o**2)).\nAnswer: -816*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -4\/9 (c) 17\/3633 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 44*n**4\/5 - 7132*n**3 - 19748*n**2\/5 + 230444*n\/5 - 19464 = 0.\nAnswer: -3, 5\/11, 2, 811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1441, 4893, 10357, 17833, 27321?\n\"Answer: 1006*q**2 + 434*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 69*n**2*s + 4933*n**2 + 177546*n*s - 1712*n + 1 wrt s.\nAnswer: 69*n**2 + 177546*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 92987856 rounded to the nearest 1000000?\nAnswer: 93000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5*q - 44 = 52, 3*h + 4*q = 73. Suppose -3*j + 11 = -u, -j + h = -5*u + 2*j. Let p = 13 + u. What is the highest common factor of p and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 28 = 2*p. Let v = 114 - 113. Find the first derivative of 7*t - p*t - t - v wrt t.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-802)\/78 + (-7)\/(-1). Let m = -8\/13 - x. Suppose -8\/3 - 2\/3*q**2 + m*q = 0. What is q?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -2\/3 (b) -440 (c) -5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmhtmunm. Give prob of sequence mhum.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 174*k + 558. Determine o(-3).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q**3 + 7*q**2 + 4*q - 5. Let p(x) = -6*x**2 - 6*x - 15. Let k(i) = i**2 + i + 2. Let m(b) = -7*k(b) - p(b). What is -j(s) - 4*m(s)?\nAnswer: 3*s**3 - 3*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a*a\/(a**(-2\/3)*a))\/((a*a\/(a\/(a\/(a**(4\/3)*a))))\/a)*a**(-2\/11)\/(a*a**(-2\/7)) assuming a is positive.\nAnswer: a**(316\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 5)*(-3*q + 4*q - 2*q) + (-26*q + 46*q + 36*q - 1)*(5 - 2 - 4).\nAnswer: -60*q + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*g + 135 - 135 - 6*g + 177*g**2 to the form i*g**2 + s + b*g and give i.\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 146 - 148. Which is the third smallest value? (a) -4 (b) p (c) -2\/13 (d) -0.56\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-2) - (-23)\/2. Suppose 0 = -10*u + 5*u - 2*l + 106189, 0 = 4*l + z. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13572805 by 305.\nAnswer: -44501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y - 8. Let l be s(-15). Let t(r) = -r**2 + 12*r + 2. Let f be t(l). Suppose 8 = 5*c - f. Solve 3*x + 10 = 2*z, -3*x + 4 - c = -z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 305.9 - 306. Let p be 1\/3 - 4\/(-15). Let q = 0.99 - -0.01. Which is the nearest to y? (a) p (b) -5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a day in seconds?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4}. Give prob of picking 4 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*m - 12*m**2 + 16*m)*(-2*m**3 - 7 + 7) + 2*m**5 - 3*m**5 - 2*m**5 + (2*m**4 - 3*m**4 - m**4)*(5*m + m - 2*m).\nAnswer: 13*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(12\/5) + 13\/2. Solve 3*m - 11 = 3*x - m, -2*m = -k for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*d**2 - 2*d**3 + 2*d**4 - 15*d**4 - d + 5*d**2 + 24*d**4 - 9*d**4 - 2 to the form h*d + b*d**3 + k*d**2 + s*d**4 + x and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 1628 = 4*k, 5*d + 2*k + k - 1614 = 0. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 6. Suppose y = -l*y + 725. List the prime factors of y.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-6))\/((-4)\/9)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22799431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of 31*i**4\/24 + i**3\/6 + 12*i**2 - 25*i. Let k(u) be the first derivative of r(u). Differentiate k(l) with respect to l.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1023\/155*(-6)\/(-8))\/(15\/25)?\nAnswer: 33\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 0, -2*f + 15 = 50*y - 45*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1033130334 (base 6) to base 8\nAnswer: -52163522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1808556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21 - -422?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -6*c**3 - 2*c**2 - 3*c - 3. Let p(a) = -6*a**3 - 3*a**2 - 4*a - 4. Let k(x) = -4*d(x) + 3*p(x). Let g = 46 - 34. Let y = g - 13. Calculate k(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 669*w + 2268*w = 330*w - 138171 for w.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence exee when four letters picked without replacement from {x: 5, e: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -p**8\/420 - p**4\/2 - p**3\/6 - 9*p**2. Let w(g) be the first derivative of c(g). Differentiate w(h) wrt h.\nAnswer: -16*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 674709?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 - -31.7. Let f = -2 + s. Let i = f + 0.5. Which is the smallest value? (a) 2\/7 (b) i (c) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -9. Let h = x - -1. Suppose 4*d + 3 = -z - 7, -9 = -3*z + d. Solve h = -z*r - r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j + 6*j + 14*j)*(-2*j + 2*j - j**3 + (-3*j**3 + 3*j**3 - 2*j**3)*(4 - 1 - 6) + 2 - 2*j**3 - 2).\nAnswer: 42*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 v when two letters picked without replacement from {v: 1, q: 4, n: 1, a: 7, o: 2, l: 4}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -11909*h - 2941525. Calculate i(-247).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273413869.\nAnswer: 83, 3294143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26494628*k**4 - 8*k**2 + 1781*k - 227?\nAnswer: 635871072*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/2156 and 121\/199910?\nAnswer: 215502980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*f - 1052440 = -63397. Calculate the remainder when f is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -1, -1521, -16.\nAnswer: -1521, -18, -16, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 244 (b) -8.3 (c) -2\/9 (d) 46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.082 times -28?\nAnswer: -2.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.012142384076 to 5 dps.\nAnswer: 0.01214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00010296237 rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -0.1 (c) -220.4 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 95 times -0.02\nAnswer: -1.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/5 in 5, 133, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93866 + 93866 - 1019419*g**3 + 1019591*g**3.\nAnswer: 172*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 2*g = 0. Suppose 2*j - 17 = s - 2*j, 8 = -s + j. Let o be 5*12\/(-150)*s\/(-6). Which is bigger: o or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29789\/83 at most as big as -45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s + 3. Let d be m(3). Let r be 3*(d + -2)\/(-2). Solve -10 - 2 = r*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/25 - -7\/25. Suppose 0 - 1\/5*o - v*o**3 + 2\/5*o**2 = 0. Calculate o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-356460)\/(-104)*(-4)\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2 + 19*t + 12. Give y(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (11 - 8)*(0 - 1). What is the remainder when 1\/(v\/10)*-9 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4606 is divided by 192.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 10*c + 18. Calculate the lowest common multiple of n(10) and 68.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u + 0*u + 0*u + (u - 2*u + 2*u)*(3 + 0 - 2) - u + u + 2*u)*(-8*u + 9*u + 7*u).\nAnswer: 56*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3626 - 3626 - 740*h**2.\nAnswer: -740*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -249638, 3, -15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + v - 28, -4*v = 2*o - 0*v - 4. Is 18 a factor of 4\/o*(14 - -40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -40*m + 42*m - 18, -m + 11 = -k. Solve 4*u = -3*j + m, -2*u = -j + 1 + 8 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of f**3\/3 - 3*f**2\/2 - 7*f + 16. Let u be l(-2). Solve -5*p + 24 = 4*z, -z = u*p - 4*z - 9 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*i + c = -5, -2*i - 2*c = -2. Solve 0 = i*s - 4*a - 8, -2*s + 12 = 3*a + 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20451199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.00949 millilitres to litres.\nAnswer: 0.04800949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -51004 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.025 or 0.27542?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 935131\nAnswer: 3740524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 48*r + 98 + 244 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -3*q + 2*m, -5*m + 29 = 2*q + 6. What is the remainder when q is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4184 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 27*o**2 - 95*o - 876. Let u be v(31). Let c(b) = -3*b + 56. Give c(u).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -8 + 0*m + 0*m - 4*m + 2*m. Let g be j(-7). Is ((-345)\/g)\/5*-14 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 21 = 27. Let g = 15 + u. What are the prime factors of 2 + 92 - (-7)\/g?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -86.359474166308 and -1.\nAnswer: -87.359474166308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**3\/2 + 6*m**2 - 159*m\/2 - 252 = 0. Calculate m.\nAnswer: -8, -3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -4 - 1\/3*m**3 + 0*m + 3\/2*m**2. Calculate a(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (135 + 109 + 333 - 94 + 64)*(-6*y + 6*y - 3*y**3).\nAnswer: -1641*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-5)\/75*28\/(19488\/(-36))\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 + 2)\/(((-36)\/412)\/9*2). Calculate the highest common divisor of 2987 and y.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -1 - (4 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -14, -3, 5.\nAnswer: -14, -3, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.25 - -56.25. What is z rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - p. Suppose 0 = -3*o + 2*s - 15 - 1, 3*s - 26 = 5*o. Let l(b) = -2*b**3 - 3*b**2 - 6*b + 2. Give o*m(n) + l(n).\nAnswer: 2*n**3 - 3*n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 - -45. Suppose 0*n - 3*n = d. Let a(x) = -x**3 + 5*x - 6. Is a(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 11:08 PM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 2*v = 5*d, -1 = -3*v - 4*d. Let m be v + 2 + 5 + 12. Solve -4*z + 2 = m for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -0 - 0. Suppose z*g - 12 = -4*g. What are the prime factors of (-2)\/g - 17\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 5*q**2 + 7*q - 14. Let w(l) = 9*l**2 + 14*l - 27. Let f(v) = 11*s(v) - 6*w(v). Let m be f(6). Is (m + 60)\/(0 + 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 + 50?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 divided by -62?\nAnswer: 55\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -336 * 0.03.\nAnswer: -10.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329625201 is divided by 164812596.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.0592 - -2.1521. Let y = 1.08 - u. Round y to 3 dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 47008*v - 28. Let h(f) = -7835*f + 5. What is -17*h(o) - 3*z(o)?\nAnswer: -7829*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -28949.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 798.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3966880 - -259355\nAnswer: -3707525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006764016 rounded to four dps?\nAnswer: 0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2568 + 12837\/5. Let x = -5.5 + 6. Put t, x, 0.3, -23 in increasing order.\nAnswer: -23, t, 0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -w**5\/20 + w**4\/4 + w**3\/2 + w**2\/2 + w. Determine a(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 6*g - 5. Let w(h) = h**2 + 12*h - 9. Let l be w(-13). Calculate p(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 27 (b) -1 (c) -3.4 (d) 5 (e) -1\/4 (f) 30.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*h - 135 = 123 - 41 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence see when three letters picked without replacement from ssseese.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by -3533?\nAnswer: 15\/3533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -53 + 3*t + 49*t**2 - 248*t**2 + 108*t**2 wrt t?\nAnswer: -182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8401 times 4\nAnswer: 33604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of 0 - 1\/60*p**5 + 2*p**2 + 0*p + 1\/8*p**4 + 1\/6*p**3 - 1\/60*p**6. What is x(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 431483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2911276, -5822555, -8733836, -11645119, -14556404?\nAnswer: -17467691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-8)*220\/(-330).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = h + 6, -5*h = 5*w - 60. What is the smallest common multiple of 102 and w?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 347*g**3 - 1150*g**2 + g - 115908 wrt g.\nAnswer: 1041*g**2 - 2300*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*j**3 + 23*j**3 + 56*j**3 - 107*j**3.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 6:19 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 941474 and 31354?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.60034 to two decimal places.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27657?\nAnswer: 3, 7, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43400*p = 43392*p + 72864000. Round p to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5090, -5080, -5068, -5054, -5038, -5020?\nAnswer: -5000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*s - 15*s = -69. Sort 12, s, 2, -4.\nAnswer: -4, s, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of 1\/3*m**3 - 3\/10*m**5 + 1\/6*m**4 + 0 + 1\/2*m**2 + 4*m. Let h be t(-1). Calculate the greatest common divisor of 7 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -c + 1 + 11, 0 = -2*s - 5*c + 21. Suppose s*y - 64431 = -301248. Let j = y - -408939. What is j rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7194657 and 2445?\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m - 32 = -32 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -1\/2*a**2 + 247 + 493\/2*a = 0.\nAnswer: -1, 494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddqlyxdxxhdy. Give prob of picking 1 x, 2 d, and 1 l.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 97457 - 97467. Solve -5*z + 25 = -3*g, a*g - 3 = -4*z + 4*g for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 1754 in ascending order.\nAnswer: 0, 5, 1754","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 2*z + 10*z)*(1677*z + 1430 - 1674*z + 813 + (-2 + z + 2)*(2 + 2 - 3)).\nAnswer: 48*z**2 + 26916*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-174)\/(-24) - 1\/4. Suppose 60 = 22*p - 10*p. Let k be (p\/(-25) - (-9)\/(-5)) + s. Solve -7 = 4*b - 2*f - 25, k*b - 21 = 2*f for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**2 + 9506*n - 38056 = 0. What is n?\nAnswer: -4757, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2307050 - 4?\nAnswer: -2307054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - j + 1, -3 = -3*t - 2*j. Let u be (-2 - 9) + 2 + t. Find the common denominator of (129\/u)\/((-18)\/12) and -101\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1518 and 447348.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32963815241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346139594?\nAnswer: 2, 43, 4024879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3070*j**5 + 488*j**5 - 4374*j**5 + 5*j**3 + 2*j**5 - 5*j**3 + (0*j**2 - j**2 + 3*j**2)*(-j**2 + j**3 + j**2) + j - j - 2*j**5.\nAnswer: -6954*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(1331) + -2 + sqrt(1331))*-3*3)**2.\nAnswer: -35640*sqrt(11) + 2157840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -p**5\/20 - p**2. Let f(v) = -41*v - 48*v - 49*v + 134*v. Determine f(g(m)).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -165, 505, 1\/7, -0.1 in ascending order.\nAnswer: -165, -0.1, 1\/7, 505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-18)*(45\/(-10))\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -449*h**2 - 444*h**2 + 1343*h**2 - 448*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46*h**5 + h**4 + 4*h**2 + 75440*h wrt h.\nAnswer: 920*h**3 + 12*h**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 29, 40?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-636)\/(-15741))\/((-5)\/((-300)\/80))?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -803511, -803437, -803363, -803289, -803215, -803141?\n\"Answer: 74*r - 803585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 136 and 51?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2457 is divided by 86.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2830)\/39620*8\/(-2))\/(-1*8).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -87 + 246 + 344*r - 79 - 80. Let y(k) = k. Give y(t(f)).\nAnswer: 344*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b**2 + 232*b**3 + 470 - 865*b**3 + 4*b**2.\nAnswer: -633*b**3 + 470","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -43. Let a = k - 18. Suppose 2*j + 0*j - 54 = -2*c, a*j - c = 128. List the prime factors of j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51 - 34. Let f(d) = d**3 - 18*d**2 + 17*d + 5. Let x be f(v). Suppose -3*g + 365 = x*t, t - 2*g = 36 + 24. Is 14 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4187139.\nAnswer: 3, 11, 31, 4093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2 + sqrt(176)) + -5)**2.\nAnswer: -200*sqrt(11) + 4425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4758080 or -4758084?\nAnswer: -4758084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 3.7. Which is the nearest to 0? (a) 4 (b) 0 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*q**3 + 218*q**2 + 1488*q + 2808.\nAnswer: 2*(q + 6)*(q + 18)*(4*q + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9388\/3 - -3140. Let b = 17783\/12 - 1481. Find the common denominator of b and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.23? (a) 4\/9 (b) -3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -6*u + 3. Let x(o) = o - 18. Let n be x(22). Suppose -2*p + 2*y = 4, -y = -5*y - n. Calculate w(p).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**3 + 19 - 9*q**2 - 4*q**3 + 24*q**2 + 5*q**3. What is the units digit of p(15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 45?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 2213044?\nAnswer: 2213103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Solve 135*v - 800 - 960 = 400 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 601*g + 125. Give o(0).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-152)\/(-15) - 20\/(-30). Let n(q) be the first derivative of -5*q**2\/2 - 14*q - 13. Let o be n(-5). Is h > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 2106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 0)*(10 - 11). Suppose 3*b - 6*a + 2*a - 4682 = d, 4*b = 5*a + 6242. Let u = b - 299. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -670a (base 12) to base 7.\nAnswer: -45124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 - 13360*r**2 + 318428*r - 305072.\nAnswer: 4*(r - 3316)*(r - 23)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 130008397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -221*b**6\/120 + 83*b**5\/10 - 45*b**2 + 4. What is the third derivative of i(x) wrt x?\nAnswer: -1326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -226 - -55. What is the units digit of 19\/u - (-146)\/18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y**3 - 90*y - 13. What is p(0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*x + 18*x - 8*x + 10*x to h*x + r and give h.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -291*y**5\/5 + 164*y**3\/3 - y + 458. Find the third derivative of z(b) wrt b.\nAnswer: -6984*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -92198 + 91684.27. What is x rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + (-12)\/(-20))\/(-2 - 63\/(-18)). Let v = 16 + -16. What is the closest to v in w, 3, 4, 15?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 66205460 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -39*p. Let l be h(-8). Suppose -4*c - l = 4*r, 4*r - 354 = 5*c - 0*c. Let b = 205 + c. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 - 1561*s**3 - 23*s + 23*s.\nAnswer: -1561*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 307.4449 and 352649.\nAnswer: 352956.4449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -165 (b) -0.4 (c) -19234 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -272? (a) -0.04 (b) 2\/9 (c) -2\/3 (d) 5 (e) 12\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.62 - 4. Let q = 0.537 - m. What is q rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**3 + 27*t**2 - 9*t + 4. List the prime factors of v(12).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-12)*-5*-3. Let v(r) = -234*r**3 - 91*r. Let p(u) = -13*u**3 - 5*u. Calculate l*v(o) + 91*p(o).\nAnswer: -13*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17774, 17768, 17762, 17756?\nAnswer: 17750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -285 + (-14)\/(-5 - -3). Let z = 500 + i. What are the prime factors of z?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 482833 and 48698.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -76*i**3 + 8*i**2 + 22*i + 15. Let m be r(-10). Suppose -p + w + m = -0*p, -15 = -3*w. Round p to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2. Let r(w) = -1 + 4 + 4*w + 4*w - 3*w. Let k(t) = 24*t + 14. Let z(m) = 6*k(m) - 28*r(m). Give z(x(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 12:08 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-5))\/(7*18\/420)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -5*u + 14, 2707*u - 2708*u = -2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 take away 3152?\nAnswer: -3112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ygdr when four letters picked without replacement from kkdyrgkykkdykgy.\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-3*sqrt(76)*2 - sqrt(76)) + -5 + 5 + 3 + 5)**2.\nAnswer: -280*sqrt(19) + 3824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f**3 + 0*f - 2*f**2 - 1 - f + 2*f**3. Let u(q) = 2*q**3 + 3*q**2 + 2*q + 2. Let s be ((-8)\/(-8))\/((-3)\/6). What is s*u(h) - 3*d(h)?\nAnswer: -h**3 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 58 and 4234?\nAnswer: 4234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13866*g**3 + 13949*g**3 + 63*g**2 - 27571*g**3.\nAnswer: 244*g**3 + 63*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*d - 15 = 45, 3*d + 15 = 0. Let p = l + 78. Suppose p = 4*m + 20. List the prime factors of m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 9*x - 6. Let u be 1*5\/1*1. Does 11 divide v(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 454778, 456018, 457258?\nAnswer: 458498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 24?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -1, -0.2, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10010 (base 2) to base 11\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f - 8 - 3*f - 2*f. Let o be a(-6). Suppose 2 = -3*q - 2*h + o, -5*h = 2*q + 2. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104 (base 5) to base 7.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0352 + 0.03520393. Round h to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (j - 2*j - 2*j)*(4*j - 2*j - 3*j) + 0*j**2 + 4*j**2 - 5*j**2 + 176*j + 348*j**2 - 95*j - 88*j as n*j + s + v*j**2 and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -451 times -6.26?\nAnswer: 2823.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 2*n**2 - 4*n - 3. Let j be y(-2). Suppose -19 = j*k - 29. Solve h + h - k = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**2 - 3*b**2 + 0*b**2 + (0 + 0 - 2*b)*(-3*b + 3*b + 2*b) + 2*b**2 + 4*b**2 - 5*b**2 + 3*b**2 + 3*b**2 - 5*b**2.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -46, -60, -62, -46, -6, 64?\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 12:14 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3 - -39*16\/72)\/((-1)\/(-51)) is divided by 126?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -23, 8, -1, -9 in descending order.\nAnswer: 8, 1, -1, -9, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 5*n + 39. Let w be o(-7). Suppose p - 7 = -2. Let s be 23\/p - (-9)\/(-15). Calculate the highest common divisor of w and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201169541?\nAnswer: 47, 4280203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 390*y - 464019 + 481569 = 0 for y.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 66*s**2 - 1. Let n be y(-1). Let g be 3\/15 + 117\/n. Sort g, 3, 5 in descending order.\nAnswer: 5, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 7*u + 5. Let j be ((-8)\/(-6))\/(4 + 560\/(-150)). Give p(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*p + 11. Suppose -3*b + s + 41 - 9 = 0, -3*s = -b. Let v = b + -7. Does v = p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 4*q + 4 - 7, -5*b - 2*q - 21 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 9:19 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -5, 7, -0.5 in descending order.\nAnswer: 7, 1\/5, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p - 24 = 0, -4*p = -77*r + 134*r - 62*r + 17 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -1594*f - 196049. Calculate b(-123).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 19645.86 months?\nAnswer: 1.637155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82779*r**4 - 2*r**3 - 111836*r.\nAnswer: 993348*r**2 - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - -1)*28\/16. Let q = x - 0. Let o(g) = g**2 + 3*g - 17. What is the units digit of o(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -64*a + 59*a + 4*q, -5*q = 3*a + 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.0616550391 and 12270?\nAnswer: 12267.9383449609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 a when three letters picked without replacement from {n: 2, j: 3, a: 4, s: 2, o: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, f: 9, d: 2}. Give prob of sequence fd.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 397.238 or -4?\nAnswer: 397.238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 760426 is divided by 25347.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*l - 1 = 12, 5 = 2*t - 3*l. Let k be (t + 0\/1)\/(-18). Let x = 9 + -9. Which is smaller: x or k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -11*c - 6. Suppose 1 = -s - 2. Let o be (-11)\/1*(s - -4). Is z(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -312.63 to the nearest ten.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 g when four letters picked without replacement from {c: 3, a: 2, g: 3}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (0 - (-6 + 3) - 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*p**5 - 4*p**4 + 189*p**3 - 116*p**2 - 115*p.\nAnswer: 480*p**2 - 96*p + 1134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 978364631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/3, -1\/4, -3067\/4, 2\/37?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 592.9 + 44?\nAnswer: 636.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 1838478?\nAnswer: -1838478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000171502 rounded to seven dps?\nAnswer: 0.0000172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.45 rounded to one dp?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -3*t**2\/2 + 263227098*t - 11548084186916934 = 0.\nAnswer: 87742366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 5*f**2\/6 - 631759*f\/3 - 252704\/3 = 0.\nAnswer: -2\/5, 252704","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*b**2 + 0*b - 3\/2*b**5 + 0*b**4 + 6*b**3.\nAnswer: -3*b**3*(b - 2)*(b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36946462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 4*w. Let g be t(4). Let v = -2 + -1. Let i = v - 2. Sort -4, g, i.\nAnswer: i, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 502 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 76228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) -4\/7 (c) 2\/53 (d) -5\/4 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-115)\/2*(-16)\/(-5)*-1. Let d = 185 - v. Put 2\/11, 1\/5, d, -2\/9 in decreasing order.\nAnswer: d, 1\/5, 2\/11, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 107 - 67. Suppose 0 = -5*p + 4*x - 40, -i = 5*p - x - x. Let w = p - -8. Solve -11 + 5 = -l - 4*r, w = -5*l + 4*r + 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {s: 2, v: 6, t: 4}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -989*a**3 + 66*a - 66*a.\nAnswer: -989*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 7:08 PM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3, -63, -143, -237, -345, -467, -603?\n\"Answer: -7*q**2 - 45*q + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.2 + -4. Let a = 0 + 0.8. Let b = a + m. Put 0, b, -0.3 in increasing order.\nAnswer: -0.3, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -37 + 47\/4*t**4 + 0*t**2 - 13*t**3 + 0*t. Find the third derivative of v(n) wrt n.\nAnswer: 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -147.59148 + -0.1.\nAnswer: -147.69148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 38309546185 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 31. Let v be m\/(-21)*(-1)\/(-4). Which is the second biggest value? (a) -1\/4 (b) v (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2028)\/228 + 9 - (8\/(-496))\/((-76)\/344).\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 3:41 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + (-12)\/(-4) + -4. Solve 4*i + 16 + 0 = 4*q, 2*i = -s*q + 12 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of o**4\/8 + o**3\/3 - 3*o**2. What are the prime factors of d(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8112 by 26.\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a decade in months?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125 divided by -5.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 11:17 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-2) - 0\/(11 - 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119563511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 162568061*o**2 + 258060700*o wrt o?\nAnswer: 325136122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 13 = 2*o, 3*v + 7 - 22 = 0. What is the nearest to -1 in 4\/7, -2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4*x - 16 = 2*t, -x - 6 = -t. Suppose 0 = 3*f + y - 4*y - 15, 7 = -f + t*y. Solve 2*s + 4*c + 7 = -c, -4*c = 5*s + f for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**2 - 5*w**2 + 5*w**2)*(-670*w + 60*w**3 + 670*w).\nAnswer: 240*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18.9 - 19.1. Sort k, 0.2, -5.\nAnswer: -5, k, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 9:56 PM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.835499nm in centimeters?\nAnswer: 0.0000000835499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 740*t - 747*t = -35 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 713.9384 millennia in centuries?\nAnswer: 7139.384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -137, -133, -129, -125?\n\"Answer: 4*c - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -g - 31, 3*n - 29 = 5*n + 5*g. What is the smallest value in -1, n, 3, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 745918281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3147 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q + 2. What is the remainder when 118 is divided by r(-7)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13936 - 13937. Let z(k) = k**2 + k. Let a(l) = -10*l**2 - 5*l - 2. Give t*a(o) - 5*z(o).\nAnswer: 5*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - x. Let h be j(-1). Is 1\/17 greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of 4*a + 196\/3*a**3 + 9 + 28*a**2. Factor w(m).\nAnswer: 4*(7*m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103 + 41 = 24*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 72, 163, 254?\n\"Answer: 91*y - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34*g**3 + 85*g**3 + 23 - 47*g**3 - 18*g**3 - 41*g**3 + g**2 wrt g.\nAnswer: -330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s + 8*s - 6. What is the smallest value in s, 1, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -372*-22718\nAnswer: 8451096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*o - 2*y, 0 = 3*o + o + 3*y - 28. Let p be (-1 + 2)\/((-2)\/2). Is (106\/p)\/(o + -6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ljjz when four letters picked without replacement from {z: 1, j: 4, d: 3, l: 5}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -495 less than or equal to -495?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ldqdqu. Give prob of picking 1 u, 1 q, and 1 d.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**2\/5 - 4228647*o\/5 + 4228646\/5 = 0.\nAnswer: 1, 4228646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -4. Suppose -335*a + 340*a = 10. Suppose 2*n - a = -3*y, 5*y = 3*n - 65 + 24. Is n at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -11804, -0.3, -646.6?\nAnswer: -11804","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 3 - -4)\/(-13). Which is bigger: 0.04 or d?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a hour in seconds?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 472 is divided by 148?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12084 and 2774.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*l - 7*x + 3*x, 3*x = -6. Let h = -103820 + 103888. Calculate the remainder when h is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*q = 32*q - 87*q + 38 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54100845.\nAnswer: 3, 5, 37, 10831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - -2. Let j(g) = g - 2. What is the units digit of j(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 30 = -8*y. What is the closest to 2\/3 in y, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u + 2*c + 39, -3*c = 13802*u - 14077*u + 341 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12597.2 + 12597. Which is the fourth biggest value? (a) 0.3 (b) 4 (c) t (d) 7\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*m - 105*m = -10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1659443171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -7 - f**2 + 2 + 3*f + 2. Let g be ((-1592)\/16 + 0)*2. Let p = g + 202. What is h(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4*l**2 + 3*l - 3. Let i be 3 - 0 - (4\/(-1) - 5). Suppose -10 = -11*f + i. Determine q(f).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3285 + 3291. Sort -1\/2, -5, q.\nAnswer: -5, -1\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + 16.65.\nAnswer: 17.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 9:12 AM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 25*a + 129. Let h be o(-18). Let b(i) be the third derivative of 0 + 5\/6*i**h - 1\/12*i**4 + 0*i + i**2. Calculate b(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/5)\/(80\/(-86600)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-12)\/90 - (-29)\/120.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.118202 kilometers in meters?\nAnswer: 9118.202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*t + 0 + 0)*(-2*t**2 - t**2 + t**2) + (-7 + 7 + 7*t)*(-4 + 4 - 3*t**2).\nAnswer: -41*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -649 - -650. Let s be 1 - (-2 + (-37)\/(-13)). Put s, 2, 1\/3, x in decreasing order.\nAnswer: 2, x, 1\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/3 - 4\/3. Let d(p) be the third derivative of 0*p + h*p**2 + 0 + 0*p**3 + 1\/24*p**4. Let k(j) = -6*j**2. Determine k(d(u)).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 375026.\nAnswer: -5, 5, 375026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -741840 + 741899.0043. Let h = 0.103 - -58.897. Let x = h - s. Round x to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -95.99 - -96. Put z, -5, -2\/159 in ascending order.\nAnswer: -5, -2\/159, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -5*o - 338. What is j(-20)?\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 944\/775747 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/10)\/(h**1\/h) assuming h is positive.\nAnswer: h**(-1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 636 and -204922511.\nAnswer: -204921875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4799 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 7)*(-7*g + 6*g**4 + 7*g)*(-1 + 3 - 3) as h*g + i + u*g**4 + w*g**2 + n*g**3 and give u.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13*x*z**3 + 507*x*z**2 - x*z + 609*z**3 - 2*z**2 wrt x?\nAnswer: 13*z**3 + 507*z**2 - z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 157446\/12 + (-3)\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 2)*(1189 - 1189 + 12*y**4) + (-2*y + 5*y - 4*y)*(3*y**3 - 3*y**3 - 2*y**3) + 0*y**4 + 3*y**4 - 4*y**4 - 26*y**4 - 11 + 56*y**4 - 26*y**4.\nAnswer: -7*y**4 - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22 and 425003.\nAnswer: -9350066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -9, 15, 3 in descending order.\nAnswer: 15, 4, 3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -5.5. Let n = 0.274 + 0.026. Which is the nearest to j? (a) 2 (b) -1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.9, 2.4, -2?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 821 is divided by 395?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2\/11)*n)\/n**(-3\/11) assuming n is positive.\nAnswer: n**(23\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1272 and 3.\nAnswer: 1275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7755854*z - 15*z**2 + 7755854*z.\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 154119845 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 50, 38, 18, -10, -46, -90?\n\"Answer: -4*v**2 + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 843 a factor of 103308336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9488404*c*p + 323335*p + 3 wrt c.\nAnswer: -9488404*p","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -26 (b) 5 (c) 5\/816 (d) 0 (e) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14860 and 18575?\nAnswer: 74300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, -3, 5, 0.04?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 2*n - 3. Let p be m(-3). Does 3 divide (-35)\/p - 6\/(-36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 293 divided by 3\nAnswer: 293\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjjjjkkjjj. What is prob of picking 2 k and 2 j?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 18*g - 2. Let v be m(2). Suppose 5*h - x + v = 0, 2*h - x - 1 = -14. Let o = h + 24. What is the remainder when 49 is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/1 + 9)*1. Let u(f) = 3*f**2 - 6*f - 3. Let g be u(r). Let c = -38 + g. Solve 11 = -c*x - 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4472*o + 7287 wrt o?\nAnswer: 4472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*n - 242 - 44*n - 138*n wrt n.\nAnswer: -179","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.607815 kilograms?\nAnswer: 607815000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2 - -3) + (-10)\/((-4250)\/(-2091)))*5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141332325 (base 6) in base 13?\nAnswer: 798089","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9415855 rounded to three decimal places?\nAnswer: 2.942","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 90.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/(-182)*(-70)\/6)\/((-11)\/(-660)).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2257 a factor of 334929772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -n**4\/2 + 2*n**3\/3 - 82*n - 61. What is the derivative of s(m) wrt m?\nAnswer: -6*m**2 + 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4*o**3 - 11*o**2 + 6*o + 4. Let y(q) = 4*q**3 - 9*q**2 + 5*q + 3. Calculate -5*m(i) + 6*y(i).\nAnswer: 4*i**3 + i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -627*l = 390*l + 174*l - 108381 for l.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.09 + -0.59. Which is the nearest to 0.1? (a) q (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 + -30. Let i = 412 + -407. Solve -3*h + i = y for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -67*a**3 - a + 1. Give y(1).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2221310200 - -1?\nAnswer: -2221310133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -15*w**3 - 5*w**2 - 5*w + 9. Suppose 4*u = 4*d, 7*u - 4*u + 2*d = 0. Let y = u - -5. Let q(c) = 8*c**3 + 3*c**2 + 3*c - 5. What is y*q(f) + 3*i(f)?\nAnswer: -5*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3209.609km?\nAnswer: 3209609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d - 2. Let a be (-4)\/14 + (-36)\/21. Suppose 6*n - n + 2*v = 16, 5*n + 3*v = 19. Suppose 3*c - n*c = -3. Let u(j) = j + 2. What is a*u(q) + c*s(q)?\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -83 + 29. Let a be (y\/45)\/(1\/(-10)). Suppose 3*m = -a + 195. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 9:49 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 3\/4, 0.3, -8, 238, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 4:22 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -p**4\/6 - 28*p**3\/9 - 3*p**2 + 216*p + 534. Suppose f(a) = 0. Calculate a.\nAnswer: -9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -54 - (86 + 6 + -257).\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 277, 554, 833, 1114, 1397?\n\"Answer: u**2 + 274*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -140 + 147. Suppose 265 = b*g + 244. Solve g*q = 10 + 2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -116 + 136. Is w\/(-4)*(-1)\/(3\/2103) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 8:24 PM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 74 - 70. Let q be (16\/20)\/(a\/60). What is the hundreds digit of (q\/(-9))\/((-6)\/909)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -461*z**2 + 134*z**2 + 223*z**2.\nAnswer: -104*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 5)*(-3*o - o + o) + (3 - 4 + 2)*(-2*o + 0*o + 3*o) + o - 3 + 3.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.13, 1, 0.95?\nAnswer: 0.95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 26121360 to the nearest 10000.\nAnswer: 26120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10 - 14)*(-2)\/4. Let t be (-2 - i)*1\/(-20). Factor 0*g**2 + 3\/5*g - t*g**3 - 2\/5.\nAnswer: -(g - 1)**2*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 11*p + 17*p - 7*p**2 - 28*p. Let u(l) be the third derivative of 2*l**5\/15 + l**2. Determine u(m(d)).\nAnswer: 392*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/7 + 2654*u\/7 - 1108707\/7.\nAnswer: (u - 367)*(u + 3021)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2340742442?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kqk when three letters picked without replacement from {b: 3, d: 1, o: 1, q: 1, k: 5}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ydhnhyduhyuhdhu. Give prob of sequence hn.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 21 + (-11 - -4) - 25\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4212867679 to the nearest integer?\nAnswer: 1615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3575654 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0127 rounded to three decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 173190767\/564 + -307076. What is the common denominator of j and 57\/22?\nAnswer: 6204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + y**2 + 136*y + 534. Determine z(-6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2923, -2921, -2919?\nAnswer: -2917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128 = -2798*r + 2806*r for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t*t**(-8)\/t))*t)\/t*t\/t**(-2\/17)*t**2*((t\/t**(1\/6))\/t)\/t assuming t is positive.\nAnswer: t**(-617\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 18*s + 77 - 5*s - 15 - 11 - 15.\nAnswer: 13*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180*j - 39816 = 171*j. List the prime factors of j.\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -20, -0.03, -5, 0.7, -0.3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 - 4*y**3 + 15 - 45*y + 9*y**3 + 13.\nAnswer: 5*y**3 - 45*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111302130 (base 4) to base 9.\nAnswer: 145370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 10:52 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 10*n**2 + 17*n + 70. Give a(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 22*q**2 - 12 + 22*q**2 + 4 - 64*q**2 + 21*q**2 - 2*q. Calculate g(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**2. Let b be u(1). Let m be (b\/1617)\/(4\/(-20)). Let w = m - 4\/49. What is the nearest to 2 in w, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -i + 3*f, i + 2*f - 108 = -4*i. Suppose -v - v - l + 11 = 0, 5*v - i = -l. Suppose -v*o + 18 = -o. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-2)*(-1520)\/(-456). Solve -12*t + 11*t = -a for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 7*v**2 - 12*v - 3. Let f be u(-3). Let x = 99 - f. Solve 5*n + x*z = n - 1, 3*n - 3*z = 15 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 30*t + 412. Let d be y(-11). Sort -1, -5, d, 0 in decreasing order.\nAnswer: d, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -0.05, -2 in ascending order.\nAnswer: -2, -0.05, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q**3 - 7*q**2 - 7*q + 3. Let s(g) = 17*g**3 + 35*g**2 + 36*g - 17. Calculate 2*s(d) + 11*u(d).\nAnswer: d**3 - 7*d**2 - 5*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-5 - 120) + -5)*(-2)\/5 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**4 + 1702*v**3 - 482232*v**2 + 45328672*v + 45812608 = 0. What is v?\nAnswer: -1, 284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100000110101010111 (base 2) to base 12.\nAnswer: 659b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20731428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 3*m - 9, -8*m + 11*m - 13 = a. Suppose 0 = -2*q, -t - 5*q + m - 2 = 0. Let u(z) = z**3 - 3*z**2 + 3*z. Let n be u(2). Solve 4*d = t*d - n for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 12. Let b = 840 + -840.3. What is the second biggest value in -16, z, 2\/3, b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26393.4 - 26396. Which is greater: -2\/41 or y?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + h. Suppose 10*b + 25 = -5. Let j(l) = 31*l**3 - 3*l**2 + 47*l. Let a(u) = b*d(u) + j(u). What is the second derivative of a(z) wrt z?\nAnswer: 186*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*k**3*s + 66*k**3*x**2 - k**2*s + 433*k*s*x**2 + 8*k*s*x + 2*s*x**2 - 2*x**2 wrt x.\nAnswer: 132*k**3 + 866*k*s + 4*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12874 + -9694. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*n*q**3 + 2*n*q + 727*q**3 + 2*q**2 + 70 wrt q?\nAnswer: 24*n + 4362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + (-3 - -6) + -4. Let d be 0*q\/(-4) - -30. Calculate the highest common divisor of d and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - 20, 246*n = 251*n - 2*y + 23 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -530*t**4 - t**2 + 2570.\nAnswer: -2120*t**3 - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.003 and 10.3.\nAnswer: -0.0309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 j when three letters picked without replacement from jjjpjpjjpp.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33755737*l*t**2 + 20*l + 135070797*t**2 with respect to l.\nAnswer: 33755737*t**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2*(sqrt(88) + (sqrt(88) + (2*sqrt(88) - sqrt(88)) - sqrt(88))))\/(sqrt(8) + (-2*sqrt(72) - sqrt(8)) - sqrt(8)) + -1 + 4.\nAnswer: -4*sqrt(11)\/7 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 639.3142 centimeters to nanometers.\nAnswer: 6393142000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 4*i**2 + 2 + 3*i - 7*i**2 - i**3. Let p be v(-3). Suppose p*b = b + 18. Calculate the remainder when b is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c - 5. Let j(x) = 12*x + 16. Let n(p) = -5*j(p) - 16*u(p). Let y(g) = 3*g**2 - g**2 + 0*g**2. Determine n(y(l)).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 5603540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 5*v - 6. Let i be p(-6). Let a(m) = -6*m - 7. Let d be a(-2). Suppose 2*u + 3*u = -w + 21, 2*w - d*u + 33 = 0. Which is greater: w or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 29a903 - 4?\nAnswer: 29a8aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -12, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/15))**2*(v**(1\/3))**(7\/5) assuming v is positive.\nAnswer: v**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of z**7\/3780 - z**6\/540 - z**4\/24 + z**2. Let b(a) be the second derivative of h(a). Factor b(s).\nAnswer: 2*s*(s - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11919\/(-137))\/(12*(-9)\/(-72)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 2:48 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -40*q + 6641. What is a(168)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**4*d - 62*c**3*d - 4*c**2*d*o - c*d - 5*c - 87*d*o wrt c?\nAnswer: -12*c**2*d - 372*c*d - 8*d*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 69\/46 + (-2)\/4. Let s(p) = -5*p + 10*p + 0 + n. Let t(h) = 14*h + 3. Calculate 8*s(f) - 3*t(f).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13)\/(156\/16) - -1. What is the closest to -1 in p, 0.04, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2693699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 3*r, 0 = -6*r + 4*r + 8. Let g(b) = -2*b**2 + 76*b - 89. Calculate the remainder when g(36) is divided by 73\/j - (-6)\/8.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10358 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -168692 and 38.6.\nAnswer: -6511511.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -8 - -2 - -3 - 1. Let j(v) = v**3 + 5*v**2 - 3*v - 2. Is j(t) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 135302874 to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 187*q - 56*q + 51 - 102*q. Is 43 a factor of x(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 8) to base 15.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -5*g**5 - 55*g**4\/2 - g**2\/2 - 531*g. Find the third derivative of q(w) wrt w.\nAnswer: -600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2941, -1, 577 in increasing order.\nAnswer: -2941, -1, 577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.1 - -3. Let h = o + -5. Which is the third biggest value? (a) h (b) -4 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/3)\/(56\/(-24)). Which is the biggest value? (a) l (b) 0.12 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172 = 26*n - 68 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9610 or 182580\/19?\nAnswer: 182580\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5*((-6*-6*sqrt(1872))**2 - sqrt(260)\/(sqrt(55)\/sqrt(11))).\nAnswer: -12130563 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t - 46. Let f(b) = b + 1. Let m(j) = f(j) - n(j). Let d be m(22). Solve -2*r + 7 = -d for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0201 - -0.1799. Sort 0, z, -0.62.\nAnswer: -0.62, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*j + 39*j + 5*q + 189 = -17*j, 4*j - 28*q - 1060 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(0 + -1 + 3). Let b(q) = 29*q**2 + 6 - 28*q**2 + 4*q + s*q. Calculate b(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -583 + 2917\/5. Let k = 19 + -20. Which is the closest to d? (a) -0.2 (b) 0.3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of 37\/3*j**3 - 87 + 0*j + 0*j**2. Let x(t) = 5*t. What is x(k(q))?\nAnswer: 185*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 2:09 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38369 + -24862. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -53 + -11733?\nAnswer: -12006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4494587 is divided by 3104.\nAnswer: 3099","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -34*p - 21. Let l(a) = -4*a**3 - 2*a + 1. Let h be l(1). Is s(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8538838, 8538837, 8538836, 8538835?\n\"Answer: -w + 8538839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3312*j - 3309*j = -36 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 3.6. Let p(y) = y**2 + 5*y + 3. Let s be p(-4). Let o be -4*s\/44*-2. Put o, c, -1 in descending order.\nAnswer: c, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3567819252 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1754975 to the nearest integer?\nAnswer: 1325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1360)\/(-12)*((-4)\/(-22) + 3336\/165).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -519*r - 7226 - 1926 - 21988 = 0 for r.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22506*n**2 - 6*n*s - 236097*s wrt n.\nAnswer: -45012*n - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/3*(16 + -7)\/(9\/2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 171 + -13882. Round f to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -2 + 150 + -148 + -20 - 27.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 209 - 1879\/9. Put d, 0.06, -3 in decreasing order.\nAnswer: d, 0.06, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, -717819, -0.96?\nAnswer: -0.96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60 - 197) + (90 - 17).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**2\/23 - 2862*z\/23 + 2860\/23 = 0.\nAnswer: 1, 1430","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -200849, -200857, -200865, -200873?\n\"Answer: -8*n - 200841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -714, -713, -712, -711?\n\"Answer: o - 715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 354 + -1415\/4. What is the nearest to -0.1 in 1, i, 13, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 69\/2 of a litre?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*(-59)\/(-6)*(-30)\/(-4). Suppose 5*n - 260 = x. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6)\/(a\/(a**(-3\/7)\/a)))\/(((a*a\/(a**(1\/6)\/a))\/a)\/a*a**(2\/7)) assuming a is positive.\nAnswer: a**(-401\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/143757100 and 19\/45155.\nAnswer: 1581328100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 4 (b) 1 (c) 562131 (d) 2\/7 (e) -1 (f) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 14.02*2\nAnswer: 28.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 - 4 = 5*u. Suppose -2*r - 4*d + 24 = 0, 0 = r - 2*r - d + u. Suppose -r*y + 25 = 7. Solve 3*p = -2*o + y, -p + 0*p = -1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) + 0)**2*3*1.\nAnswer: 1836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**5\/4 + 175*g**4\/4 - 360*g**3 + 1090*g**2 - 1460*g + 732.\nAnswer: (g - 2)**4*(g + 183)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 28*y + 76. Let a be x(-24). Is 5*153404\/50*a\/(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cooeeuceooeucouc. Give prob of sequence co.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -12 - ((-29 - -12) + -6)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.084 and 0.04988.\nAnswer: 0.13388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 141 = 153. Let s = -34 + g. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 11*n**2 - 10*n - 24. Let k be c(12). Solve k = -7*y + 5*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/2 + 7*p\/2 + 3.\nAnswer: -(p - 3)*(p + 1)*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5245126 (base 11) in base 3?\nAnswer: 122101201010121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5*x. Let o(i) be the second derivative of 8*i**3\/3 + i. Calculate 10*l(r) + 3*o(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -908 + 292. Let t = -620 - x. Sort -0.4, 0.3, t in descending order.\nAnswer: 0.3, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and 52663.\nAnswer: 368641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + g + 1. Let p(b) = b**2 + 10*b + 4. What is -4*k(l) + p(l)?\nAnswer: -3*l**2 + 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v = 11*v - 4*z - 4, 2*z - 8 = -2*v. Let s be 2090\/20 + -5 - (-2)\/v. What is the greatest common divisor of 250 and s?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4120 + -114?\nAnswer: -4234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/(-49)*1\/(-1))\/(7696\/546 - 14)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10210 (base 3) to base 5.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 108116 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 10*s**2 + 5*s - 6. Let d be t(6). Let o be (0 - (-1)\/(-39))\/(64\/d). Which is the closest to 1? (a) o (b) 1 (c) 1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 24 = -5*x, x - 3*y + 1 = -8*y. Suppose -p - x*i + 43 = 0, -3*p - i = -63 - 66. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 12. What is the third derivative of g**2 + 4*g**2 - m*g**2 - 2*g**6 wrt g?\nAnswer: -240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(216\/1)*-408\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 498*p**2 - 168*p**2 - 155*p**2 - 176*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045957891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 104, 4, 0.6 in descending order.\nAnswer: 104, 4, 0.6, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 68 = 2*f - 5*b, 0 = 4*b. Calculate the remainder when 65 is divided by f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-10)\/25*-125*(-20)\/150.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 + -39. Suppose -4*q - q + 35 = 0. Suppose -5*a + 2 = -q*a. Sort t, 4, a in increasing order.\nAnswer: t, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -58242, -116731, -175214, -233691, -292162, -350627, -409086?\n\"Answer: 3*y**2 - 58498*y + 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*b**3*c - 19*b**2*c + 6*b - 5*c wrt b.\nAnswer: -30*b*c - 38*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence to when two letters picked without replacement from ottototottottoooottt.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((6\/8)\/((-33)\/11))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -117, -248, -439, -690, -1001?\nAnswer: -1372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6788387km to micrometers.\nAnswer: 678838700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*t - 9582315 = -67*t - 25*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/5*-22*1\/10?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(-u**4 + 15*u**5 - 17 + 17).\nAnswer: -30*u**5 + 2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2679*h**3 + 3*h**2 - 165*h**3 - 2563*h**3 + 1040*h**3.\nAnswer: -4367*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millimeter in micrometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25639*w + 5137*w - 3631568 for w.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rererrrerterrr. What is prob of picking 1 t and 1 e?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4*n**2 + 191*n - 190. Give i(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 298 and 2379679.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jriz when four letters picked without replacement from {j: 1, z: 4, i: 1, k: 2, n: 5, r: 2}.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51 + 51.000091. What is k rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8009797, 16019577, 24029357, 32039137?\nAnswer: 40048917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/30 and -97\/921620.\nAnswer: 2764860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 77992, 78484, 78976, 79468?\n\"Answer: 492*h + 77500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1318 a factor of 30530895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10609\/524 + -66\/131. Find the common denominator of n and -107\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 1:59 PM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -64592 or -0.354?\nAnswer: -64592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338651 is divided by 590.\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11 + -8 - (3 - 2). Let k be 64\/(-48) + (-2)\/(-6). Which is the closest to k? (a) 0.4 (b) w (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 496491 - 6454311\/13. What is o in 48\/13*o + 10\/13*o**2 - 12\/13*o**3 + 2\/13*o**4 - z = 0?\nAnswer: -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1636 times 3?\nAnswer: -4908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 285563\nAnswer: 6\/285563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-7)*9\/(-18)*6. Which is the nearest to -0.1? (a) -2\/3 (b) -3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 131*y = 132*y + 17, 0 = 5*q - 3*y + 19 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**2 + 2216*q - 273280 = 0 for q.\nAnswer: -1220, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6\/121 - 85\/726. Let o = -14 - -14. Suppose o = -6*w - w + 7. Which is the nearest to w? (a) -2\/11 (b) -2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -40*t + 195. Let j be f(5). Let i(n) = -3*n**3 - 2*n**2 - 5. Let r(l) = -7*l**3 - 4*l**2 - 9. What is j*i(g) + 2*r(g)?\nAnswer: g**3 + 2*g**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - 12 - (26 + -11 - -17)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1532, -4, -5, 4, 0, -8 in decreasing order.\nAnswer: 1532, 4, 0, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -2\/5, 3, 344 in descending order.\nAnswer: 344, 3, 0.3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dkvif. Give prob of picking 1 i, 1 k, and 1 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-10)*(-10)\/(-20).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 296*t**2 + 910*t - 6251*t**3 - 2750*t + 3 + 911*t - 6144*t**3 + 927*t wrt t.\nAnswer: -74370","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4*h - 12. Let o(z) = 9*z - 25. Determine -5*a(q) + 2*o(q).\nAnswer: -2*q + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -9 + 3 + 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26275961307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 7*y**2 + 10*y - 1. Let a be x(-7). Let i = -194 + 314. Let u = a + i. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22830*g**2*n**2*u + 2*g**2*n*u + 25314*n**2*u + n**2 wrt g.\nAnswer: -45660*g*n**2*u + 4*g*n*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2056.836 to the nearest integer.\nAnswer: -2057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/10630851 and -34\/33.\nAnswer: 10630851","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 5*u**3 + 2*u + 0 - 2*u**3 - 4*u**3 + 2*u**2 - 1. What is the units digit of f(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -10*l + 7 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 230 (base 12) in base 10?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.13 + 0.17. Let c = 0.299981 - u. Round c to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 - 37. Suppose j*m + 27 = -5*x, m = -4*x + 3*x - 18. Let k = 30 + m. Solve 3*z + 4*y = k, 2*z - 2*y - 6 = 3*y for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -16\/7*v**2 - 5\/7*v**5 - 8\/3*v**3 - 16\/105*v**6 - 2\/147*v**7 + 207*v + 0 - 38\/21*v**4. Factor a(l).\nAnswer: -4*(l + 1)**2*(l + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6740 + -6647. Solve 0 = 5*b - 118 + z for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 1. Let x(v) = v + 52. What is -3*o(y) - x(y)?\nAnswer: -y - 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1082 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 26971*o + 10. Is v(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 13*m**3 + 3*m**2 - 3. Let s(u) = 13*u**3 + 2*u**2 - 2. Determine 2*r(z) - 3*s(z).\nAnswer: -13*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, a: 7, l: 2, p: 2, q: 4}. What is prob of sequence qq?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/7 + 466*m**2\/7 + 1384*m\/7 + 920\/7.\nAnswer: 2*(m + 1)*(m + 2)*(m + 230)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 2\/(0 - 1). Suppose -245 = 999*v + 197*v - 82*v + 869. Sort v, n, 4, 0 in ascending order.\nAnswer: n, v, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 8 - (6 + -3 + 95 - (-8 + 8)).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 244, 378, 512, 646, 780?\nAnswer: 914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6817 by -3.\nAnswer: 6817\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in millimeters?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + ((16 - 13) + -7 - -2 - -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 66 = 10*w. What is the nearest to 1 in w, 1\/9, -7?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 798271, 1596503, 2394709, 3192883, 3991019, 4789111, 5587153?\n\"Answer: -s**3 - 7*s**2 + 798260*s + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence off when three letters picked without replacement from obdfodo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -5*n**4\/12 + 3565*n**3\/6 - 3555*n**2 + 2358*n. Solve t(d) = 0.\nAnswer: 2, 711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 36\/(-5)*(-100)\/15. Suppose 5*w + g = 4*d, 9*d - w - 39 = 4*d. Solve 0 = f + 5*q - 25, 0 = -d*q + 4*q + 12 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1821\/28 + -251\/4. Let z be ((-2998)\/27)\/((-14)\/(-357)). Let v = 2826 + z. What is the common denominator of u and v?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 153, 150, 147, 144?\n\"Answer: -3*i + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 133 = -l, -6*l = 5*u - 5*l - 337. Suppose u*i - 69*i = -2. Suppose -i*g = -3 - 5. Solve 5*q - 6*q + g = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 700975, 700979, 700983?\n\"Answer: 4*h + 700971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 60856716 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -64.9 + 65. Let u = -0.6 + 0.9. Let v = -0.2 - u. Which is the smallest value? (a) r (b) v (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242*f = 247*f + 25, -5*a + 3480 = 5*f. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1285611 is divided by 142832.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -36*u**3 - u**2 - 2*u - 1. Let t = -20 - -19. List the prime factors of c(t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 8*s + s**2 - 3*s**2 + 6*s**2 + 1 - 3*s**2. What is z(-9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9*(-5)\/30)\/((-2)\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (3 + -6 + 1 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.3 - -2.8. Let x = 9 + m. Let f = 109\/3 - 37. Which is the second smallest value? (a) -4\/5 (b) f (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 130946, 130897, 130814, 130697, 130546?\n\"Answer: -17*h**2 + 2*h + 130961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 + 37662.\nAnswer: 37662.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 148 = 4*a + t, -4*a = t - 133. What is the highest common factor of 153 and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*(-42)\/132*(240\/(-126))\/(-8).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + -26 - (-3 - (2 - -2))) + 7?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 40\/27, 0.1, 26, -2\/5, -42 in descending order.\nAnswer: 26, 40\/27, 0.1, -2\/5, -4, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35435 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/6*(2*3)\/2*6720\/3780?\nAnswer: -32\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 plus 756878025?\nAnswer: 756878142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -36. Does 15 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -44 in -1, -11, 1, 0.1?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*i - 90*i = -199*i - 4720 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 + -0.8. Let z = -29.8 - -25. Let m = z + 5. Which is the nearest to m? (a) f (b) 1\/8 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**3 + 9*g - 4*g**3 - 3*g in the form m*g + h*g**2 + y*g**3 + v and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 12*d - 14*d - 3205 = 0, 3*w = -3*d + 9606. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10022327.28207 + 100.28207. Let f = 10022185.9999975 + n. Let k = f - -41. Round k to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-5*(-2 + -6*(-4*sqrt(44) - -1*sqrt(11)*-4))*-6.\nAnswer: -10800*sqrt(11) + 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*n - 26*n = 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 52 = 4*w - 6*g, 2*g + 72 = -5*w. Let a be (-4)\/w + 8\/(448\/1160). Find the second derivative of -a*d**5 + 44*d**5 - 6*d**5 + 17*d wrt d.\nAnswer: 340*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - -177. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nc when two letters picked without replacement from {k: 4, c: 3, u: 1, n: 1, g: 4}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*g + 3 = -3*f + 26*g, 4*f + 13 = g for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (16 + 4)) + (163 - (-19 + 120))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p + 23 = 15*p. Calculate the remainder when 113 is divided by p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*a - 552 + 1355 = -1822 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8833107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01 - 72469.403.\nAnswer: -72469.393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -5*p**3 + 8960*p**2 - 2446080*p = 0.\nAnswer: 0, 336, 1456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -a + 463, 57*a - 2200 = 52*a + 3*q. Calculate the remainder when a is divided by 45.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7737 = -19*h - 1262 + 194. Solve -13*d = 26*d - h for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -5*n + 9 + 9, -5*n + q + 12 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-15))\/((-338)\/845). Let v be ((-2)\/20)\/((-1)\/4). Which is the nearest to v? (a) 3 (b) p (c) -4\/7 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6, 0.3, -1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -915261779 times -1\nAnswer: 915261779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 2*v**2 - 4*v + 1. Let d be n(3). Let h = 16 - d. Let p = h + -3. Does 15 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4, 101, 288, 563, 932, 1401, 1976, 2663?\n\"Answer: b**3 + 35*b**2 - 7*b - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/2 of a hour?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 14 + y**2 + 0*y + 1\/3*y**3. Let i(u) = 2*u. Give c(i(j)).\nAnswer: 4*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29*w - 516*w + 40*w + (-2*w + 0 + 0)*(0 + 1 - 3).\nAnswer: -501*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**6\/(g**(3\/5)\/g)*g*g\/(g*g**6)*(g*(g**(-1\/5)*g)\/g)\/g*(g**5*g\/g**(-3)*g)**(-5\/16) assuming g is positive.\nAnswer: g**(-77\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46133 * -0.3.\nAnswer: 13839.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -4*n**2 - 93972*n + 33186672 = 0?\nAnswer: -23841, 348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0578 and 0.07.\nAnswer: -0.004046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.9 (b) -9\/4 (c) -5 (d) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*f = -76*f - 170. Let z = f + -40. Let u be z\/14 - (5 - 10). Put -3\/8, -1, u, 4 in decreasing order.\nAnswer: 4, u, -3\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55566402401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -384.1 + 384. Which is the smallest value? (a) s (b) -4\/5 (c) -2 (d) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -330 (base 5) in base 14?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/((-20)\/(-105) - 3\/9). Let o = s - 6. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - 10*f - 16. Let m be u(-8). Suppose m = -3*n + 3 - 0. Solve 0 = q + n for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of 11*o**4\/4 + o**2\/2 - o + 1. Let a(s) = s**3 - 16*s**2 - 16*s + 25. What is the remainder when a(17) is divided by v(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**2 - 188*w + 585. Let b be d(-97). Put 1, 5, -60, -4, b in increasing order.\nAnswer: -60, -4, 1, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22.3*0.1009\nAnswer: -2.25007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -361 (base 12) to base 11\nAnswer: -41a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-18)\/(-2) + 36 + -36?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-21 - -29) + (-3)\/1. Let k be ((-58)\/8)\/((-38)\/(-8) - u). Are -14 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -5*y - 308, -n - n - 128 = 2*y. Let i = 70 + y. Solve -5*z + 15 = i for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -a**5\/20 + a**4\/6 + a**3\/6 - a**2 + 4*a. Suppose m(w) = 0. Calculate w.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h + 0*h + 0*h)*(9*h + 8*h - h) + 4 - 4 + h**2 + (h**2 - 3 + 3)*(3 + 2 - 3) + (h + 2*h**2 - h)*(-3 + 1 + 1) to the form m + d*h**2 + t*h and give d.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -2314111.598 to the nearest 100.\nAnswer: -2314100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/5 or -11420?\nAnswer: -11420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -5\/8, 0.2, 2\/17, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + z - 58 = -2*h, -5*z - h = -85. Suppose z*s = -21*s. Which is the biggest value? (a) 0.3 (b) 2\/25 (c) -6 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -43 + 25*n**2 + 43. Let q(z) = z**2. Determine c(q(x)).\nAnswer: 25*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31734 is divided by 135.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69965910 to the nearest integer?\nAnswer: 8365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30782102 is divided by 6156415?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 5*f**2 - 4*f - 4. Let m be (2 - (-24)\/(-15))*-10. What is the remainder when (3 + 14\/m)*-58 is divided by y(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 5*f + 2. Suppose -2*i - 2*i - 45 = 5*u, u = -4*i - 25. Let g be c(u). Suppose -5*o - 21 = v, g*o + 3 = 2*v + 3*v. Which is bigger: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1*sqrt(1088))**2 + 6*(sqrt(1088) + -2 + sqrt(1088)).\nAnswer: 128*sqrt(17) + 1080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*l - 46*l = 49 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 10:00 AM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r**3 - 395*r**2 + 1770*r + 269. Determine o(-136).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54.5 + -68. Let u = z + 131.5. Let j = u - 117.99999902. What is j rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r. Let w be c(2). Let u be (1*-2)\/((-4)\/(-10)). Suppose 5*s = -5*o - 45, -113*s = -132*s - 114. Put o, -1, u, w in decreasing order.\nAnswer: -1, w, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 + 6\/(-2) + 0. Suppose 2*i = -i + y. Solve 3*f + 13 = -4*c + 2*f, -c + i = -4*f for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 18*l - 185. Let g be x(10). Is g - -17 - 7 - -1*907 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406\/(-539)*50\/((-7400)\/814)?\nAnswer: 29\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -327*z - 612. Let t be k(-7). Calculate the highest common factor of t and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 173868, 2, -6 in decreasing order.\nAnswer: 173868, 3, 2, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + 0 + 2 - -22 - -3. Suppose 4*h - p + 15 = 0. Suppose 0 = 4*g - d - 27, 0*g - 21 = -2*g + 3*d. What is the lowest common multiple of h and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.5 - -0.5. Let y be (-2)\/(4\/21)*-2. Let b be 1 - 3 - y\/(-11). What is the closest to 0.1 in b, z, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**1*r*r)**(-3\/26)*r**(2\/19)*(r**(-1\/5)*r)\/r)\/(r**(-5\/3)\/(r\/(r*r\/(r\/r**2*r*r))))**(-2\/75) assuming r is positive.\nAnswer: r**(-6677\/11115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.7, 15.05, -0.08?\nAnswer: 15.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x - 10969 - 19431 = 0. Round x to the nearest 100.\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 283, 1001, 2145, 3715, 5711, 8133?\nAnswer: 10981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.13 - 5.23. What is the nearest to -10 in r, 0, 5\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -4*q - 3068, -9 = 4*j - 7*j. Let u be ((-1)\/(-2))\/(11\/q). Let z = -24 - u. What is the greatest common divisor of z and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 8:46 AM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8261567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 44 = 4*r, 7*t + 5*r + 8 = 5*t. Put 2, -3, 1, t in descending order.\nAnswer: 2, 1, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2119 + -1949. Calculate the lowest common multiple of b and 374.\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/((sqrt(27)*-2)\/sqrt(9)).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 135477363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*h = h + 20, 30 = w - 5*h. Suppose -w*v - a = -81, -5*v + 2*a + 78 = -0*v. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -15*k**2 - 9*k**4 - 9380*k + 9380*k + 3*k**5 - 27*k**3 = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.224288 kilometers?\nAnswer: 224288000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110742 (base 8) to base 6.\nAnswer: 444522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*l + 18. Let y = 25 - l. Calculate the least common multiple of y and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, 3\/4, -27, 0?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4250763 - -16609658?\nAnswer: 20860421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiq when three letters picked without replacement from qqkkkiiqqkq.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + sqrt(19) + sqrt(19))*-1 + 2.\nAnswer: -10*sqrt(19) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, m: 3, s: 2, u: 5, o: 6, r: 1}. Give prob of sequence os.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 26*c = -168. Let y be (40\/c)\/20 - 107\/(-4). Solve -3*r + 24 = y for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 5:12 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 6*j**2. Let r(u) = -282*u**2. What is r(n(t))?\nAnswer: -10152*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x*(x\/(x**(-2\/7)*x))\/x))**(2\/97) assuming x is positive.\nAnswer: x**(24\/679)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -467 = -4*t + 221. List the prime factors of t.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120 - 2021?\nAnswer: -1301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 z when three letters picked without replacement from zguemgz.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000016669224 rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65180*l - 65179*l - 65192*l + 195555*l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/((-36)\/40)*-1. Suppose y - i = -4. Suppose n = y*n - 4105. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**5 - 256*z**4 - 7394*z**3 + 50668*z**2 - 105592*z + 71824 = 0. What is z?\nAnswer: -67, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 82038943.5 + -5.2.\nAnswer: 82038938.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-426)\/568)\/((-2)\/144*-2)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3, 3*p = -0*p - 2*a + 1518. Is p a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 98780?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -64861909093\/96 + 675671187. Let n = i + -26301. Calculate the common denominator of -19\/84 and n.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4aea - 95?\nAnswer: -4b7f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 7308.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of 5\/12*l**4 + 0*l + 0 - 39*l**2 + 25\/6*l**3 - 1\/210*l**7 - 1\/12*l**6 - 2\/5*l**5. Factor i(n).\nAnswer: -(n - 1)*(n + 1)*(n + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.361 - -3.661. Let l = 4 + -2.4. Let v = g - l. Which is the third smallest value? (a) -0.4 (b) -2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 6397\nAnswer: -1\/6397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 765*w - 9278. Determine r(-12).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10440)\/928)\/((12\/36)\/((-1)\/((-9)\/(-4)))).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100 and 1325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**5\/6 - 3220*c**4\/3 + 7947925*c**3\/2 - 6326916605*c**2\/3 + 25117122940*c\/3 = 0. What is c?\nAnswer: -3094, 0, 4, 901","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**2 - 2*i**2 - 3*i**2)*(-83*i + 142*i - 106*i).\nAnswer: 94*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 1105?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 23, 36, 51, 68, 87?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3114735 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 90 + -87. Suppose 4*x - 170 = r*j + 2*j, 5*x = 2*j + 85. Let m = j + 35. Solve -p + m = -a, 3*a - 6*a - 20 = -4*p for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 13 - (20 + -14)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2708601998 rounded to 2 decimal places?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 49836283 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4978378801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 450.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (-31 - (-23 + 10))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 454 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 107089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiiizyrrriiiqrqq. Give prob of sequence rir.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 6 (c) -0.2 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61*g*h*l*z + 4*g*h*z**2 - 8*g*l*z**3 - g*z**3 - 8*g*z**2 - 2*g*z - 9*h*l*z**3 + 2*h*l*z**2 wrt z?\nAnswer: -48*g*l - 6*g - 54*h*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**3 - 5*d - 1. Let u(y) = -5*y**3 - 14*y - 3. Let l(b) = 8*m(b) - 3*u(b). Let o be 8\/3 - (-10)\/(-15). Give l(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1112 - 4495\/4. Which is the nearest to -1? (a) -0.01 (b) 3\/5 (c) n (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 19. Suppose -5*c - 32 = 3*g + g, 4*g - 3*c = -32. Let y = g + 11. Solve 9 = z*a - y*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 17\/4 of a gram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1986 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20\/9? (a) -17 (b) -3 (c) -1\/36 (d) 46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 8*t**2 - 56*t**3 + 1 + 64*t**3 to the form y*t**2 + o*t + n + u*t**3 and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 102147 and 1659?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2599061701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -32377884 divided by -469\nAnswer: 69036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4267264208995 and -8.\nAnswer: -4267264209003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hvhk when four letters picked without replacement from {v: 1, t: 1, h: 2, k: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -20 - (0 + -2) - (-234 + 233)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 y when two letters picked without replacement from {y: 3, t: 4, x: 3, q: 1}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 105*c**3 - 4*c**2 + c - 4. Let l(a) = -a**2 + a - 1. Let p(r) = -h(r) + 3*l(r). What are the prime factors of p(-1)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 13*b**4\/4 + b**3\/3 - 5*b**2\/2 + 3*b + 16. Let v(f) = 6*f**3 - 2*f + 1. Determine -5*v(u) + 2*x(u).\nAnswer: -4*u**3 + 2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1079 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.42? (a) -0.4 (b) -3 (c) 0.11 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8*-10481.24.\nAnswer: -8384.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 13586, 8, -1, 5, 1.\nAnswer: -1, 0, 1, 5, 8, 13586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3232500 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3127*h**3*r**2 - 6*h**3*r - r**2 - 8*r - 1058 wrt h?\nAnswer: -9381*h**2*r**2 - 18*h**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 6*d + 6. Let m be z(6). Find the third derivative of 5*f**3 + 19*f**2 + 10*f**2 + 9*f**3 - f**m + 0*f**3 wrt f.\nAnswer: -120*f**3 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.1 (b) 0.1 (c) 0 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -2 + (-1 + sqrt(128))*-4 + sqrt(128))*-4)**2.\nAnswer: 2304*sqrt(2) + 18576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 769?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2460\/99*-1)\/((-20)\/90). Let n = t - 112. Let f = 2.04 + -0.04. Which is the second biggest value? (a) 3 (b) n (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -5 - 8*f**2 + 5 - 4. Let r(h) = 7*h**2 + 3. Let p(w) = -4*r(w) - 3*v(w). Let d(c) be the third derivative of -c**5\/60 - 7*c**2. What is d(p(z))?\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 84.78768 months?\nAnswer: 0.0706564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -5695?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19e84 (base 15) to base 6.\nAnswer: -1450054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = n + 2*n - 146, 3*b - 445 = -2*n. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s**2 + 60*s - 4. Let d be k(20). Let h be 3*2*(-1)\/2. Sort 0.3, 15, h, d in descending order.\nAnswer: 15, 0.3, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of o**5\/60 + o**4\/4 - 9*o**2. Suppose 8 + 16 = -4*u. Let q be p(u). Is -4\/3 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**3 + w**3 - 11*w**3 + (-4*w**2 + w**2 + 5*w**2)*(0*w - 2*w + w) - 2 - w**3 + 2 + w**2 + 1 + 0*w**2 + w**3 - 2*w**2.\nAnswer: -13*w**3 - w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**5)\/(j*(j\/((j**7\/j)\/j)*j*j)\/j))\/((j\/(j\/(j*j\/j**(-6\/7))))\/j**8)*(j\/j**(-2\/11)*j*j**(-12))**(-8\/3) assuming j is positive.\nAnswer: j**(2258\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + -3344303?\nAnswer: -3344241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4*k - 2 - 8 + 8 - k**2. Let b be f(3). Solve -b + 6 = -z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (105\/175)\/(9\/(-21)).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 726, 727, 728, 729, 730?\n\"Answer: n + 725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**2 - 6*c**2 - c**2 + (0*c - c - 2*c)*(3*c - 6*c + c) - 2*c + 2*c**2 + 2*c.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7405240 is divided by 115.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4069 - 204.1069. Let s = w + 199. Suppose 2*g + 12 = 2*r - 4*r, 4*r + 20 = 0. Which is smaller: g or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 9. Suppose f*o = 5 + 13. Is (3\/o)\/(5\/30) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4*b**3 - 27*b**2 - 4*b + 8. What are the prime factors of o(-9)?\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -692 divided by 346\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4358)\/(-52296))\/((-4)\/4848)?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*i + 8*i - 8*i**3 + 11*i + (1 + 3*i**2 - 1)*(-3*i + i + 3*i) + (3*i - i - i)*(3*i - 2*i**2 - 3*i) - 4*i**3 + 4*i**3 + i**3.\nAnswer: -6*i**3 + 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-42)\/(-30))\/(-6*(-5)\/90). Find g such that h*g**4 - 3\/5*g**2 + 6\/5*g**3 + 0 + 0*g + 12\/5*g**5 = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 2*d + 28, 0 = -9*d - k + 1 + 3 - 14 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-60)*-2*-5.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 387244.\nAnswer: 2, 11, 13, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 21.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/3 - 8\/(-12). Let f be (-18)\/(-99) - 31\/(-11). Solve n = w - 0 - f for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.05 - 0.55. Which is the fourth biggest value? (a) 3\/8 (b) -4 (c) w (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1373 + 0.3373. Let u be (2 - 10\/6) + 0. What is the third biggest value in -1, u, d, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.55926ml to litres.\nAnswer: 0.01755926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 92 and 27720?\nAnswer: 637560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.783092 litres to millilitres.\nAnswer: 783.092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -965, -3844, -8635, -15332, -23929, -34420?\nAnswer: -46799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 128415 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289994.\nAnswer: 2, 61, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3137, 6275, 9413?\n\"Answer: 3138*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/18*6)\/(2\/(-15)). Suppose 501 = p + m, 0*m - 509 = -p - x*m. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -3. Let p = c + 3. Find the third derivative of s**3 - p*s**2 - 3 + 3 wrt s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -41*n + 49*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 551?\nAnswer: 5510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4) - (-30)\/(-44)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -176 + 185. Does 11 divide ((-2023)\/(-35) + y)*20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 2:54 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 939060.8 centuries to millennia.\nAnswer: 93906.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of h**4 - 33*h**3 - 1673*h - 282954?\nAnswer: 4*h**3 - 99*h**2 - 1673","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*m**2 + 579*m**2 - 43*m**2 - 474*m**2 - 59*m**2.\nAnswer: -76*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -19510 and -0.14.\nAnswer: 2731.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -423, -421, -419, -417, -415, -413?\nAnswer: -411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 8*p + 241. Give k(-37).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + j - 3*j)*(344*j**3 + 814*j**3 - 160*j**3) + j**4 - j**3 + j**3 + (-4 + 4 + 2*j)*(-2*j**3 - 2*j**3 + 3*j**3).\nAnswer: 997*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1, 1.4, -1\/3, -11, 128?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 74*u**3 - 11*u**2 - 83*u**2 - 227*u**3 + 29*u**3 wrt u?\nAnswer: -744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2131 + -2?\nAnswer: 2125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -3*s - 744 + 755, 3 = s for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6376 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o + 2. Let r be (735\/(-10))\/(-7)*(-8)\/(-6). Let m(c) = -c**2 + 7*c - 7. Let p(i) = r*v(i) + 4*m(i). Let w(u) = 5*u. What is w(p(g))?\nAnswer: -20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 10*g - 11. Let r be x(-11). Let l(y) = 5*y + r*y - 4*y. Let n(a) be the first derivative of a**3 - 1. Calculate n(l(p)).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 4826772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 2.799?\nAnswer: 11.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.035*130.045\nAnswer: -4.551575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8\/17*j**5 - 74\/17*j + 378\/17*j**2 + 6*j**4 - 48\/17 - 350\/17*j**3 = 0. Calculate j.\nAnswer: -1\/4, 1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**3 - 2*s**2 + 5. Let q(i) = 2*i**3 - 2*i**2 + 5. Give -6*m(z) + 5*q(z).\nAnswer: -2*z**3 + 2*z**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 31073 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 12:12 PM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*l - 57536 = -5*l. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12115332 (base 7) in base 5?\nAnswer: -234024214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1146054177 + -100?\nAnswer: 1146054077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 + 950*q\/3 + 6300.\nAnswer: 2*(q + 135)*(3*q + 70)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 296 (b) -26 (c) 0.2 (d) -3 (e) -3\/5 (f) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -215*q**3 + 1 - 20*q + q**2 + 22*q - 834*q**3. Is k(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -2. Suppose -50*v = -7*v - 946. Let c be (v - 34)*2*(-1)\/(-6). Sort -13\/3, c, q in ascending order.\nAnswer: -13\/3, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 7*h**2 - h + 3. Let d be n(7). Suppose -g = -4*s - 7 - 1, 0 = 5*s - 4*g - 1. Is 13 a factor of -13*(s - (d + 3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26405 a multiple of 273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3068 and 7599436.\nAnswer: 3068","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3787 = -929*w + 2716. Let z(q) = 2*q. Let p be z(1). Suppose 2*a - 4*m = -m - 2, -p*a - 2*m = -18. Solve a*b = -2 + w for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/18)\/((-143)\/(-198)*-1)\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) - (sqrt(1331) + (-4 + -1*sqrt(1331) + sqrt(1331) - sqrt(1331))))**2.\nAnswer: 88*sqrt(11) + 1347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1999 - -3679. Is i a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 2) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 16*n - 18. Let j(u) = -17*u + 20. Calculate -5*j(m) - 6*l(m).\nAnswer: -11*m + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**4 + 2*q**4 - 4*q**4)*(1020*q - 2041*q + 76 + 1020*q).\nAnswer: 2*q**5 - 152*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2914 divided by -31.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5467 + -7638826?\nAnswer: -7633359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-224910)\/324)\/119*3\/49.\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + t**2 + t + 1. Let g be x(0). What is the remainder when (g\/1)\/(3\/45) is divided by 410\/70 - 6 - 86\/(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifty-four fifths of a millimeter?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 641\/40 + -209\/8. Let r be (-4)\/12 + (66\/9 - 2). Suppose 145 = -5*j + 4*g, -r*j - 4*g = -g + 145. Find the common denominator of s and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*i + 5696 = -59*i - 3*i + 866 for i.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3282*3\/(-3))\/(1\/5). Is ((-2)\/(-4))\/(5\/o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 4*o + 30. Let x be -2*(-1 - o\/3). Let w(c) = -2*c**2 - 6*c - 13. Let j(l) = -l**2 - 3*l - 7. Let s(p) = -11*j(p) + 6*w(p). What is s(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42357785*t**3 - t**2 - 13857*t - 109?\nAnswer: -254146710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2. Let h(g) be the first derivative of -6*g**3 - 8*g - 244. Determine h(o(v)).\nAnswer: -18*v**4 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 48884693659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3979, -5, 22 in ascending order.\nAnswer: -5, 22, 3979","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.56 + -0.94. Let b = -5.50129 - q. What is b rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1236*t**2 + 381*t**2 - 2611*t**2 + 592*t**2 + (-138 + 138 - t**2)*(5 - 3 - 4) in the form d + c*t + w*t**2 and give w.\nAnswer: -2872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**2 - 2*k**2 + k**2 + 0*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -392203 rounded to the nearest 1000?\nAnswer: -392000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*j + 131*j = -2*v + 5, -5*v + 6 = -j for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-13\/3)*o\/(o*o**(-15)*o*o))\/((o\/(o\/o**4))\/o*o*o**16) assuming o is positive.\nAnswer: o**(-34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dw when two letters picked without replacement from wdwddw.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42.1 + 75098249.6069.\nAnswer: 75098207.5069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27531132 divided by -4588522.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 7)\/((-14)\/21*6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 7*l**2 + 60*l + 30. Give d(0).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011 - 101000010010010111001?\nAnswer: -101000010010010101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/19)*r*r**(-15)*(r*r**(-12)*r)**(-22) assuming r is positive.\nAnswer: r**(3916\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*-246*2\/(-4). Suppose 3*y - 282 = w. Suppose c + 3*m - y = 0, 5*c = c + 3*m + 570. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-15)*(256\/40 + (-77)\/55). Put 1\/4, w, -7, -2\/9, 32 in decreasing order.\nAnswer: 32, w, 1\/4, -2\/9, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 2*h - 5*h. Let z = h + -15. Suppose -2*g + 18 = -4*i, z*i + 19 = 3*g - 5. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*p - 3*t - 2, -4*t + 10 = 3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, b: 5, e: 1, y: 2, o: 3, u: 1}. Give prob of sequence yek.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (9 + 0 - 7) + 5 + -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4120513727 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three fifths of a day?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -q + 2*s, -4*s - 57 = -5*q - 64. Suppose -11*g = -10*g - 2. Solve 0 = -f + 2*v - q, 6 + 0 = -g*f + 2*v for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 times 0.37?\nAnswer: -0.0074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 11207970, 22415940, 33623910, 44831880?\n\"Answer: 11207970*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -1, 40.\nAnswer: -1, 19, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11894405\/141 + -84358. What is the common denominator of x and 9\/13?\nAnswer: 1833","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1042477722 by 39.\nAnswer: -26730198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3979598 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 417\/(-834)*5*2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 949 divide 138522683?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 6*p**4 + 4*p**2 + 4*p - 5. Let f(w) = 12*w**4 + 7*w**2 + 7*w - 9. Let u(g) = -4*f(g) + 7*y(g). Differentiate u(n) with respect to n.\nAnswer: -24*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 5*y**2 + 6*y + 36. What is the tens digit of n(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -23*k**3 + 5*k**2 - 14*k - 14. Let s(v) = 12*v**3 - 2*v**2 + 7*v + 6. Calculate 7*s(n) + 3*z(n).\nAnswer: 15*n**3 + n**2 + 7*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4280970*t**2 - 4280970*t**2 + 1105*t**3 + (5*t - 3*t - t)*(0*t**2 + 0*t**2 + 2*t**2).\nAnswer: 1107*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p = -7*p + 10. Let b = 2 - 7\/3. Let x = -2.5 + -0.5. What is the closest to 1\/3 in p, x, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 1.5. Let w = -4.1 - -0.1. Let q = -3\/2619386 + 5238781\/7858158. Which is the fourth biggest value? (a) q (b) n (c) w (d) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-2 + 3 + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 310*u + 866. Calculate t(-3).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of 127*x**4\/4 + 158*x**3\/3 - 66*x. Find the second derivative of d(f) wrt f.\nAnswer: 762","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 1983*p**4 + 4*p**2 + p - 3533. Let v(k) = -5949*k**4 - 11*k**2 - 3*k + 10598. Let z(d) = 4*v(d) + 11*w(d). Differentiate z(r) wrt r.\nAnswer: -7932*r**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l**2 - 14. Let y(h) be the first derivative of -2*h**3\/3 + 30. Give w(y(x)).\nAnswer: 12*x**4 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 7:55 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, t: 1}. What is prob of sequence uu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+397.7\nAnswer: 397.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.2, -0.03, 0, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 198 = 12*h. Suppose -z + h*z - 68 = 0. Solve -9 = 5*u + 5*t - z, u - 2*t = -13 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.196 + -4.196. Let t = 11 + -16. Let f = 2.5 - 0.5. Which is the smallest value? (a) f (b) j (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.07 + 0.07. Let v = -2.995 - m. What is v rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17837 - -17836.5. Which is the nearest to 13\/4? (a) -3 (b) -4\/7 (c) 2 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 19be?\nAnswer: 19ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 99960678?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 9:04 PM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.32, 1099, 13, -0.09?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12350 rounded to the nearest one hundred?\nAnswer: 12400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 23 + 82 = 0. Let o be 48\/u - 4\/14. Which is the smallest value? (a) -4 (b) -1\/4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 7) to base 15\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/5751 and 2\/95337?\nAnswer: 6768927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 189 and 36.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 5*c**2 + 10*c + 9. Let n(k) = 11*k**2 + 21*k + 19. Let v(l) = -13*d(l) + 6*n(l). Does 4 divide v(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 9*d. Let q be ((-72)\/27)\/((-2)\/3). Suppose -23 = -2*f + 5*h, -3*f + q*h + 28 = f. Let r(o) = o. Calculate f*m(t) - 33*r(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.29 - 90.29. Let z = y - -87.025. What is z rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.07 + -0.07. Let b = p - 8.9982. Let f = 0 - b. Round f to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n - 2 + 2 + (4 + 0 - 1)*(-1 - 2*n + 1))*(-3 + 0 + 1)*(65 + 159 - 127) in the form i + r*n and give r.\nAnswer: 1552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21.559 + 11.778. What is j rounded to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5022881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*v - 41, -6*w + 4*w = v + 3. Let r(d) = 3*d**2 - 4*d - 6. Is r(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 233 + -155. Calculate the smallest common multiple of 2 - (0 + 1)*-4 and -2 - z*(-6)\/(-36)*-2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 30436, 121724, 273870, 486874, 760736, 1095456?\n\"Answer: 30429*c**2 + c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 8. Let t be 4\/o*24\/(-16). Suppose -16 = -4*k, t*g - k + 6 = 2. Solve -4*s = -u + 1, g = -3*s - 4*u + 2 + 21 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25534150 (base 7) to base 2.\nAnswer: -1000111000010111011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 174 - 176. What is the second biggest value in 2\/33, 6\/5, f, -2\/17?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/4 + 80669*o + 23560677\/4.\nAnswer: -(o - 322749)*(o + 73)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 587.\nAnswer: -2\/587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 0 - (40 - 37).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 23 + 90. Let s = -402 + 413. Let q = s + p. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 2\/3)*-66. Let u = 105 + p. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71 - (-50 + (112 - 54)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101 + 303?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -84, -205, -386, -633, -952, -1349?\nAnswer: -1830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -113, 5, -3 in descending order.\nAnswer: 5, -2, -3, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z + 13. Let t be w(6). Suppose 12 = v + t. Solve v*k + g + 5 = -2*g, 0 = 3*g + 15 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + (sqrt(320) - sqrt(5))**2)*-3 - (sqrt(55)*-1)\/sqrt(11).\nAnswer: -735 - 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 6:08 PM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 213716 and 404?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4088*j - 18 + 4043*j - 8212*j + 14 to the form o + l*j and give l.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 78745 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 197*h + 3060. Give l(180).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -156 - -277. Let i = -115.9 + m. Let u = -0.1 + i. What is the second biggest value in -0.4, u, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 119764961?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 67230760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - 1)*(-10)\/(-15). Let d(n) = -27*n - 118. Let c be d(-5). Find the second derivative of -20 - 4 + c*s + 24 - 14*s**l wrt s.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 774 = -69*a - 427*a + 5238 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 4*z + 4. Determine q(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 5*i + 10, 14*s = -8*i + 7*i - 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -19. Let o(d) = -3*d + 76. Let k be o(24). Solve -2*l - 18 = 4*h, -k*l - w - 14 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 107217 and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2116*y**2\/7 + 94392*y\/7 + 1052676\/7.\nAnswer: 4*(23*y + 513)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 102 + -34. Let l = -63 + q. Solve -10 = 3*c - 2*z, 17 = -3*c - 10*z + l*z for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*j - 286*j = 11176. Sort 1, -14, j in descending order.\nAnswer: 1, -14, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.58 and 9041?\nAnswer: 9041.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 8 = 58. Suppose 4*n + 2 = s. Solve 6 = -n*d + 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wnnnwnnnnwnnnnqwww. Give prob of picking 1 q and 1 w.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -4, 3644, -3.6?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 3055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.251617um to kilometers.\nAnswer: 0.000000005251617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9201672 divided by 6.\nAnswer: -1533612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n + 3*n - n. Let p(u) = -85*u + 260*u - 91*u - 87*u. Give t(p(j)).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bxxb when four letters picked without replacement from {b: 7, x: 6}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 871 (base 15) in base 9?\nAnswer: 2547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**4\/5 + 418*s**3 - 608744*s**2\/5 + 42260064*s\/5 - 82101888\/5 = 0?\nAnswer: -2356, 2, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -98 + 305. Let d = n - 61. List the prime factors of d.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0027589 rounded to five dps?\nAnswer: -0.00276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 186983977 to the nearest integer?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 52269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 187527.19 to the nearest one hundred.\nAnswer: 187500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -g**10\/120960 - g**9\/30240 + g**7\/5040 + g**6\/2880 + g**4\/8 - g**2. Let r(k) be the second derivative of x(k). Factor r(m).\nAnswer: -m*(m - 1)*(m + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 + 140 = 3*z. Suppose -5*s + 308 = z. Let h be ((-8)\/(-10))\/(5\/s). Solve 1 = -3*d + 5*o + h, 0 = -5*o + 5 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3970934.4 - -3971115.40171. Let v = o + -181. What is v rounded to four dps?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -9*w + 137. Let x(i) = -2*i**2 + 14*i + 231. Calculate x(c(s)).\nAnswer: -162*s**2 + 4806*s - 35389","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**7*n\/(n*(n**(-5)*n)\/n)*n)**37\/((n**(2\/7)*n)**(1\/50)\/((n**(2\/11)\/n)\/(n\/(n*n**2*n)))) assuming n is positive.\nAnswer: n**(150751\/3850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2*z = -4, -2*l - z + 7 = -6. Suppose l*w + 7*k - 3*k - 16 = 0, -16 = w - 4*k. Which is the smallest value? (a) -1\/8 (b) 0.5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 + 37. What is the first derivative of -5*z - 40 + 4 + 5*z**g + 4*z wrt z?\nAnswer: 10*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 5) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 17*l**2 + 22*l - 5. Let o be p(-19). Suppose -5*r + m = -471, -3*m - 80 = -4*r + o. Is 47 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2428 + -2428. Solve f = -17*v + 13*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 33, 42, -2 in ascending order.\nAnswer: -3, -2, 0, 33, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 8*z - 3*z - 30, -15 = -5*z. Let k(c) = 2*c**3 + a*c + 3*c + 8*c**2 - c**3 - 5. Is k(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + (-5)\/(-40))*8 + 36\/(-32)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.183028 months in centuries?\nAnswer: 0.00681919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 65 = 68. Let n(i) = -t + i**3 + 4*i - 3*i + 2241*i**2 - 2240*i**2. Let m(h) = h**2 - 1. Calculate 3*m(q) - n(q).\nAnswer: -q**3 + 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y - 5. Let s(z) = 12*z - 186. Determine -6*b(n) - s(n).\nAnswer: -6*n + 216","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -522\/1149527 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 l when two letters picked without replacement from eyleelleeellzeye.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 y when two letters picked without replacement from myreuyc?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2371670 divided by -9965?\nAnswer: -238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 580874*x**3*y**3 + 5656*x**3*y**2 - 2*x**3*y - x**3 - 42*x**2*y**4 - 31*y wrt y.\nAnswer: 3485244*x**3 - 1008*x**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 543351 or 1086699\/2?\nAnswer: 543351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212101 - 11010220212?\nAnswer: -11010001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 + 661*u**2 + 1318*u.\nAnswer: u*(u + 2)*(u + 659)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 less than -108?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of (-16)\/(-120) - (-104390)\/75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 15*f + 480. Let x be l(-33). Which is smaller: x or 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12.75 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 y when four letters picked without replacement from {d: 11, y: 9}.\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 2*q**3)*(-98438 + 12*q + 196838 - 98424)*(-3*q - 3*q + 4*q).\nAnswer: 48*q**5 - 96*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2035\/13 + 16192508\/103441. Let t = 2003987785259\/538381879155 + -2191\/15035870. Let b = t + f. Calculate the common denominator of -145\/6 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/2*6*(-2)\/(-9). What is the smallest value in b, 0.3, -2\/7, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -490, -445, -372, -259, -94, 135, 440?\nAnswer: 833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29781 is divided by 5952.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13411, -52819, -116973, -204625, -314527, -445431, -596089, -765253?\nAnswer: -951675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hlhl when four letters picked without replacement from {h: 10, l: 4}?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*y - 16. Let w = 30 - y. What is the lowest common multiple of w and (-6)\/8 + (-189)\/(-28)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3\/5 (b) 0.14 (c) 35 (d) 0.11 (e) -3 (f) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11190 divided by 1865.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108256.\nAnswer: 2, 17, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -60473\/22 - -2753. Calculate the common denominator of -11\/6 and d.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**3 - 239*b - 246*b - 94*b**2 + 484*b + 2*b**4 in the form s*b**2 + z*b + j*b**4 + l*b**3 + y and give s.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 5:14 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 115 and 4945.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of p**7\/1260 + p**6\/180 - p**5\/120 - 31*p**4\/12 - 14*p. Let v(i) be the third derivative of w(i). Calculate v(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a gram in milligrams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 0.997884.\nAnswer: 0.2993652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.1 in -3, 2\/9, 0.4, -0.197?\nAnswer: -0.197","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0, -2, 9.\nAnswer: -2, 0, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 11:45 AM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a century?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(2\/16) + (-1132)\/(-96) + 84\/(-18)?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5449 = 1738*y - 1468*y - 10295 - 6224 for y.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39844\/15 - 2653. Calculate the common denominator of (3542\/3289)\/(160\/44) and b.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 342 and 2192334.\nAnswer: 6577002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/41183 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -29*p + 8*p. Sort p, -5, -2 in ascending order.\nAnswer: -5, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 103800398 and 182?\nAnswer: 726602786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 169*i + 5. Let g be u(5). Suppose 3*c + 5*j + 59 - g = 0, -3*c = -4*j - 755. Let l = 388 - c. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 9*q + 19. Let g be l(6). What are the prime factors of 2574\/10 + ((-3)\/(-5) - g)?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60351587 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: Simplify ((-4 + sqrt(76))*-3)**2.\nAnswer: -144*sqrt(19) + 828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 19*c + 11. Let b = -2564 - -2546. What is m(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -130*c**2 - c - 57 wrt c.\nAnswer: -260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 748112058.\nAnswer: 2, 3, 13853927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -1, -4, 0.365 in decreasing order.\nAnswer: 0.365, -3\/5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**3\/11 - 163368*g**2 - 23361962*g\/11 = 0. What is g?\nAnswer: -13, 0, 898537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence stt when three letters picked without replacement from ststsst?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*g**2 - 380*g - 540 = 0. What is g?\nAnswer: -54\/11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3*x + 2, -x + 4*x = -2*j + 10. Let o be (-1)\/(1 - 2) - j. Let y = 4 - o. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 142 - 113. Suppose 31*u + 40 = i*u. Let o be -222*30\/u*(-1)\/3. What is o rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/15 in -1, 2\/7, -8987, 33, -12?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -a**6\/120 - a**5\/15 - 5*a**4\/24 - a**3\/3 - 15*a**2. Factor t(n).\nAnswer: -(n + 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11894404*b**2*s - 2*b*s - 11729*b + 15*s wrt b.\nAnswer: -23788808*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 67 and 871?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w - 3. Let a(b) = -b + 1. Let u(m) = -2*a(m) - n(m). Let p be u(-1). Put 0, 3, p in descending order.\nAnswer: 3, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -183 divided by -3?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - 2)\/(-3*(-5)\/15). Let v be (7 + -4)*(-4)\/j + -1. Let q = 2\/37 + 68\/111. Does q = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (644\/414 + 1\/9)*(-2)\/20.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 285 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 2*i**2 + i - 4. Let z(f) = 2*f**3 - 2*f - 14. Let l(h) = -2*h**3 + h**2 + 3*h + 15. Let b(j) = 5*l(j) + 6*z(j). Give 2*b(g) - 5*n(g).\nAnswer: -g**3 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 i when three letters picked without replacement from dimydry.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from jbbbbtbbbjbt.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -93 + 110. Suppose -6666 = -r*p + 21911. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46.4 + -46. Which is the third smallest value? (a) -1\/7 (b) r (c) -68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2*3)\/(-5 - -6). Let b be 20\/u - 4\/6. Let z(v) = 8*v - 28. Let g(w) = w - 3. Let d(r) = 28*g(r) - 3*z(r). Let f(t) = -3*t. Give b*d(y) - 5*f(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((d**3 - 2*d**3 + 3*d**3)*(1 + 1 + 0) + 0*d**2 + 9*d**3 + 0*d**2)*(1 - 4 + 1).\nAnswer: -26*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-28)*c)\/c)\/c**(-1\/7))**(-39) assuming c is positive.\nAnswer: c**(7605\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -10*(1 + 3\/(-2)). Let i = -2 + 2.2. Which is the smallest value? (a) 4 (b) i (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5467532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 u when two letters picked without replacement from {u: 2, z: 2, f: 5, w: 1, v: 8}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/9 (b) -52 (c) 1\/8 (d) 8 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1056 = 59*x + 37*x. Calculate the remainder when (-5)\/(5\/24)*2\/(-3) is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*w - 26 = 0, -6*r + w = -2*r - 19. Let o = -79.8 - -194. Let l = 114 - o. Which is smaller: l or r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-15) + 20456\/(-30). Let a = x - -4804\/7. What is the common denominator of 77\/18 and a?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -k**5\/60 - 5*k**4\/24 + 17*k**3\/6 + 146*k**2. Calculate a(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.12*12056\nAnswer: 1446.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404825 is divided by 81.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.25553ml in litres?\nAnswer: 0.00425553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/4)\/((-1)\/(-10)). Let m(u) be the second derivative of 0 + 9*u - 1\/6*u**3 - 2*u**2. Calculate m(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 17*i + 44. Let l be h(0). Suppose l = 9*k + 8. Factor -2\/5*n**k - 6\/5*n**2 - 6\/5*n**3 - 2\/5*n + 0.\nAnswer: -2*n*(n + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 u when three letters picked without replacement from uruuurr.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -203, -200, -185, -152, -95?\n\"Answer: y**3 - 4*y - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 11, 191, -2, -3, 2 in descending order.\nAnswer: 191, 11, 2, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -30845*(10\/(-125))\/((-1)\/(-5))?\nAnswer: 2, 31, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 546, 2004, 4434, 7836, 12210?\n\"Answer: 486*s**2 + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjcdejcgdcjcejj. What is prob of sequence degc?\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 3*t + 46, 0*p - 3*t - 80 = -4*p. Let o = p + -5. What is the greatest common factor of o and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**2 + 34627*s - 4856542. Give u(142).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100916 is divided by 142.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 102 = 9*s. Let w = 5 + 4. Calculate the remainder when s is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -238066*g - 255407 wrt g.\nAnswer: -238066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -11418 equal to -11418?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s - 1 + 1 + (-2 - 5 + 6)*(0*s - s - 4*s + (s - 3*s + s)*(1 - 2 - 1))*(-5 + 3 + 0).\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 999\/7 (b) 0.14 (c) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -68*v**2 + 16*v + 30. Let p(w) = -13*w**2 + 3*w + 6. Let x(d) = 16*p(d) - 3*u(d). Let r(l) = -5*l**2 - 1 - 3 + 5 + 4*l**2. Determine -5*r(f) + x(f).\nAnswer: f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of i**4\/4 + 8*i**3\/3 - i**2 - 11*i - 1. Let s be d(-8). Put s, -2, 4 in ascending order.\nAnswer: -2, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (240\/(-180))\/(2\/(-12)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17 and -3.6122.\nAnswer: -61.4074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cdss when four letters picked without replacement from {c: 2, s: 2, d: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(1088)*-3 - ((sqrt(1088) + 1)*4)**2) + (-1*(sqrt(1088) + 1 + sqrt(1088))*-1*-4)**2.\nAnswer: 376*sqrt(17) + 52224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7037957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -673129, -1346253, -2019377, -2692501, -3365625, -4038749?\n\"Answer: -673124*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.172 + 0.21?\nAnswer: -0.962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 1, j: 14, t: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.14 in 1, 10\/173, -243?\nAnswer: 10\/173","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.28162 years to months.\nAnswer: 87.37944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 + 5*y + 6. What is the remainder when a(-5) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) -0.7 (c) 3 (d) -0.08 (e) -13 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g**2 + 4*g - 17. Let m(n) = -2*n**2 - 2*n + 9. Let q(i) = -3*l(i) - 5*m(i). What is the tens digit of q(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 147 and 57281?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -12. Let n = 8 - s. Which is the second biggest value? (a) 0.5 (b) n (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 11 = 5*k, 3 - 10 = -r - 4*k. Suppose -r*u + 4 - 1 = 0. Suppose -19*z - 3 = -16*z. Sort u, 4, z in decreasing order.\nAnswer: 4, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**3*m)**(-31)*m\/(m*m**(-1))*m**1 assuming m is positive.\nAnswer: m**(-122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 33*a**3 + 36*a**2 + 2*a + 7. Let b(s) = 74*s**3 + 73*s**2 + 4*s + 14. Determine -4*b(h) + 9*j(h).\nAnswer: h**3 + 32*h**2 + 2*h + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/17 - 185196*z**2\/17 + 4280891202*z\/17 + 17173975112.\nAnswer: 2*(z - 46333)**2*(z + 68)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2 + -3*sqrt(891) + sqrt(176)*2*6 + 4.\nAnswer: 4 + 21*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26694\/25 - 1068. Which is the nearest to 0? (a) 4 (b) -0.2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2626 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.2245 - 1172.\nAnswer: -1169.7755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*q**2 + 56*q**2 - 230*q - 19*q**2 - 20*q**2.\nAnswer: q**2 - 230*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1933 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-90)\/75*55\/(-33). Let k be ((-16)\/(-6) - -2)*-3. Let y = 6 - k. Solve i = -4*v - y, v = 4*i - 3 - o for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2583*c**3 - 1811298 + 1811298 + (-2*c**2 + 0*c**2 + c**2)*(-c + c - 2*c))*(3*c - 3*c + 8*c).\nAnswer: 20680*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 g, and 1 f when three letters picked without replacement from mgmgmgmmsfgmgr.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 780912 divided by 5916\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3*s + 2489 = -5698, 0 = 4*u - s - 10907. What is the remainder when u is divided by 101?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**3\/19 + 56*t**2\/19 - 150*t\/19 - 900\/19 = 0. What is t?\nAnswer: -30, -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00014310189 rounded to five dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5834 + 0.0064. Let b = 0.5770422 + l. What is b rounded to six dps?\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 101713 and 185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7476 - -7399.033. Let s = 77 + a. Let q = s + -15.433. Round q to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 629065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 87948705.\nAnswer: 87948705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-162)\/243)\/(-2*(-7)\/(-2))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2124*o. Let f(w) = 5*w + 19. Give h(f(j)).\nAnswer: -10620*j - 40356","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -9 + 26 + 605*f**2 - 333*f**2 - 336*f**2 - 17. Let r(n) = -15*n. Let q(c) = -c. Let d(h) = 20*q(h) - r(h). Calculate d(l(o)).\nAnswer: 320*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 13*o**3 + 28*o**2 + 13*o + 2. Let z(i) = 14*i**3 + 29*i**2 + 13*i + 2. Let l(p) = -5*m(p) + 4*z(p). Solve l(a) = 0.\nAnswer: -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4 = -2*p, p + f - 6 = 4*p. Let t be ((-42)\/(-70))\/(p\/(-5)). Find the third derivative of -10*a**2 + 1 + t*a**4 - 1 + 8*a**4 wrt a.\nAnswer: 264*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-96)\/(-15)*5\/2 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 159 = 3*v - 1963, 2*v + 5*z = 1373. List the prime factors of v.\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3133420588 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -102333 (base 4) to base 5\nAnswer: -14330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(-65*u**4 + 33*u**4 + 17*u**4) + 116*u**4 + 3*u**4 + 431*u**3 - 2*u**2 - 429*u**3.\nAnswer: 134*u**4 + 2*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 8, -1, -20, 3\/15373 in ascending order.\nAnswer: -20, -1, -0.2, 3\/15373, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 540 + -5?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 36 = 108. What is the third derivative of 17*s**3 + 19*s**3 - 98*s**3 + 2 + y*s**3 + 7*s**2 wrt s?\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*h**3 + 148*h - 148*h + 2*h**2.\nAnswer: -50*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 7. Suppose -2*j - 3*l - 8 = -b*l, -5*j - l = -2. Suppose -5*i + 2*i + 9 = j. Solve c - i = -2*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 737142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13601 - -13606. Let u = -16 - -19. Which is the nearest to r? (a) -5 (b) u (c) 0.03 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.6 + -6.3. Let n = 1.7 + g. Which is the smallest value? (a) 2\/3 (b) 4\/3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12179 or -12182?\nAnswer: -12179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is h in h**2\/4 - 32795*h\/4 + 229369 = 0?\nAnswer: 28, 32767","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 4*v = 5*c - 8, -3*c - 5*v - 10 = 0. Suppose -f = -p - c*p - 3, -20 = -4*p. Suppose 0 = 3*w - f - 238. Is -0.1 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -l**4\/138 + l**3\/23 + 4*l**2\/23 + 2*l - 90. Factor d(v).\nAnswer: -2*(v - 4)*(v + 1)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ixln when four letters picked without replacement from {i: 1, x: 1, l: 2, e: 2, n: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, h: 1, e: 12}. Give prob of picking 3 e.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/2*190\/(-57).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = q - 26, -70 = 2*z + 5*q - 47 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 19. Solve -2*b = -3*x, -2*b - 3*b + c = -x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 6:06 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 80 + -475\/6. Let i(f) be the first derivative of 14\/27*f**3 + 4\/27*f**6 + m*f**4 + 1\/9*f**2 - 3 + 0*f + 26\/45*f**5. Factor i(g).\nAnswer: 2*g*(g + 1)**3*(4*g + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 80184*a - 481121. Calculate g(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - (-27)\/3) + (-26)\/(-6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000609864796 to 6 dps.\nAnswer: -0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58110290?\nAnswer: 2, 5, 7, 131, 6337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -140.3 + 142.3. Put -4, -8.05, i in decreasing order.\nAnswer: i, -4, -8.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -294549*v**4 - v**3 + 295*v**2 + 5325*v?\nAnswer: -7069176*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 131 + -7. Is u a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 50*h + 155. Give v(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 6*r**2 + 11*r + 11. Let l be u(-4). Find the common denominator of l\/(-5) - ((-3348)\/(-240) - -3) and 37\/200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/13)\/((i\/(i**7\/i))\/i) assuming i is positive.\nAnswer: i**(79\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q - 9. Let k(u) be the first derivative of u**3\/3 - 500. Give k(c(p)).\nAnswer: 4*p**2 - 36*p + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -2, 2, -81, 59 in descending order.\nAnswer: 59, 2, -2, -38, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15188717?\nAnswer: 23, 660379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -99*r**3 - 55*r**2 + 55*r - 55. Let y(n) = 11*n**3 + 6*n**2 - 6*n + 6. Let o = -4542 - -4548. What is o*q(d) + 55*y(d)?\nAnswer: 11*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1.156493, 3\/5, 1\/8, -0.2, -0.3, 0.05?\nAnswer: -1.156493","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -77.25 times 0.1?\nAnswer: -7.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*49\/42)\/(5*(-8)\/60)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1228125, 1228135, 1228147, 1228161, 1228177?\n\"Answer: n**2 + 7*n + 1228117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 27*d - 101. Let q(w) = -9*w + 34. Let y(l) = 4*c(l) + 11*q(l). What are the prime factors of y(12)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 - 16) + -7 + -7 + -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**3 - 1248*d**2 + 75834*d - 1215324 = 0 for d.\nAnswer: 33, 558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00020305557 rounded to five dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -112 + -2102221?\nAnswer: -2102333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10 + 7 - 17 + m**5 - 3*m**5 + 3*m**5 - m**5 + (-3*m**2 + 3*m**2 + 2*m**3)*(-3*m**2 + 0*m**2 + 2*m**2) + (-1 + 1 + m**4)*(-15*m + 25 - 25).\nAnswer: -17*m**5 - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from {s: 3, z: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/4311 and 76\/99795.\nAnswer: 143405415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6392.\nAnswer: 2, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 6*o + 40. Let y(a) = a. Let p(g) = -2*y(g) + z(g). Let m be p(0). Calculate the greatest common divisor of m and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21436097 to the power of 1\/2, to the nearest integer?\nAnswer: 4630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*z + 14. Suppose -x - 3 = -18. What are the prime factors of x\/10 - 14\/z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -98*j**3 - j**2 + 21641*j?\nAnswer: -588*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*v**4 - v**2 - 3*v**4 + 0*v**4 wrt v.\nAnswer: -144*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6702.302cm to kilometers.\nAnswer: 0.06702302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43373374 by -1971517.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 3*i = -3*c - 12, -c + 2*i = -5. Let w = c + 6. Suppose -w*p + 499 = -456. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 4*r - 3*b, 5*r - b = -1. Let k be r\/(-1) - (-6 - -3). Suppose l = 6*l - s - 12, -k*l = -s - 10. Solve u - 6 = -l for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3515015633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4*c = c + 2, 0 = -n + 3*c + 8. Let y be n*-1 + (-46)\/(-24). Let l be ((-1)\/2)\/(2\/(-4))*-1. Is y smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -440040 = 6*h + 223584. Let r be h\/15 - 2\/5. Is 3\/(-12) + r\/(-24) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(26)\/sqrt(2) + 5))**2.\nAnswer: 160*sqrt(13) + 608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/7)*o**(2\/5))**28 assuming o is positive.\nAnswer: o**(96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 15, 17, 21?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -782, -1613, -2446, -3281, -4118, -4957, -5798?\nAnswer: -6641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 855 - 853. Solve 0 = p - v*r + 1, 0 = p - 5*r - 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4742, -9517, -14308, -19121, -23962, -28837?\nAnswer: -33752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8*(-1 + -1 + 1). Let z be (-1)\/(2 + (-36)\/u). Let y = -0.135 + 0.335. Which is the nearest to y? (a) z (b) -1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 - 5*q + 23)*(0 - 2 + 3)*(-1 + 3 - 3).\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**11*j)**(-5\/7))**(-5) assuming j is positive.\nAnswer: j**(325\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -25*g**8\/252 + 4*g**7\/21 + 8*g**6\/45 - 2*g**5\/3 + g**4\/2 + 101*g**2. Solve q(d) = 0 for d.\nAnswer: -1, 0, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -267802 less than or equal to -269677?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - 4*j = -12*b - 3, 0 = 5*j - 10. Let t(g) = -5*g**3 + g**2 - g + 1. Let c(v) = -v**3 - v**2 + v + 1. Determine b*c(u) + t(u).\nAnswer: -6*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 519106 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -24278 divided by -1445\nAnswer: 24278\/1445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 65231.03g in tonnes?\nAnswer: 0.06523103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 1:20 PM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p - p + 0*p + (-p + 2*p + p)*(3 + 0 - 1) - 25*p - 4*p - 7*p as m + a*p and give a.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 35*u - 357. What is n(11)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 34 - 14 = 0. Let a(m) = -10*m**2 - 11*m + 15. Let d be a(-8). Let s = d - -536. Sort 2, s, b, -5 in decreasing order.\nAnswer: b, 2, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 6:23 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzfzzzzzzzzzzzzzzz. What is prob of sequence zz?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320*x = 299*x + 315. Calculate the remainder when 3807 is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 - 215*z - 8 - 15 + 38 as r + t*z and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-42)\/(-4))\/((-16)\/(-32)). Let o = -17 + v. Factor 4*m**3 + 4*m**4 - 8*m + 0*m**4 - o*m**2 + 4*m**3.\nAnswer: 4*m*(m - 1)*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 7*a**2 - 396*a + 200. Determine h(58).\nAnswer: 780","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36583, -108906, -229443, -398194?\nAnswer: -615159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72777767?\nAnswer: 487, 149441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000093987 rounded to 6 dps?\nAnswer: 0.000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-87)\/(-5481))\/(2\/7))\/(2\/(-8))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 7*y. Let z(i) = 56181*i**2. Give o(z(g)).\nAnswer: 393267*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qrr when three letters picked without replacement from {m: 1, t: 1, v: 1, q: 2, r: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 776 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 88548299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -14\/15*p**5 + 3\/40*p**6 - 3*p**3 + 31\/8*p**4 + 0*p - 14*p**2 + 18. Let v(b) be the second derivative of q(b). Factor v(z).\nAnswer: (z - 3)**2*(9*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000390367399 rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36476 is divided by 2421?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 176793738 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1260 = -q - 4*q. Let k be 186\/9 + (-8)\/12. List the prime factors of (-4)\/(-10) + q\/k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*w + 5*j = 240, -2*w + 4*j = -72. Let c(q) = 6*q**2 - 11*q - 6. What is the remainder when w is divided by c(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/14 and ((-18)\/40)\/(24\/70).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 521.6 + -520.4. What is the nearest to j in 5\/7, 1, -3\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 0.04.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + sqrt(300) + -1) - (-4*(-1 + sqrt(300)) - (-3 + (sqrt(300) - (sqrt(300) + -1)))))*5.\nAnswer: -50*sqrt(3) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 38\/9 - (-8)\/(-36). Suppose c - 2 = -2*a + a, 3*a + 8 = y*c. Suppose 2*q + a*q = 138. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -3, -1753, -2, 2, 2\/17, -5, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 102.2537cm?\nAnswer: 1.022537","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w - 8*b + 52, w + b + 318 = 296 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 4*p - 111. Let b be (p\/4)\/(30\/(-40)). Suppose -4*v + b*v**2 - 66*v**2 + 33*v**2 = 0. What is v?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - s = 0, -3*d + 6*d = -2*s. Suppose d = -4*h - m + 136, -5*h - m + 170 = -0*m. Let a = 64 - h. Round a to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 7*k**3 - 94*k**2 - 286*k + 24. Calculate q(16).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 15*t - 0*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -918*u + 1129 + 3461 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-10)*(-1)\/(-2). Let g = 0 + 1. Let d = -4 + g. What is the second smallest value in -2\/11, r, d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5111.009 centimeters in nanometers?\nAnswer: 51110090000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 3 - (2 - -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02802997 rounded to five decimal places?\nAnswer: -0.02803","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k - 634496 = 5*z - 634563, -3*z + 4*k + 65 = 0 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2001 + 10?\nAnswer: 2011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 28533 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: Let a(v) be the second derivative of -v**4\/42 + v**3\/7 + 4*v**2\/7 - 76*v. Determine f, given that a(f) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261 is divided by 89?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/75 + 17\/300. Let f(g) be the third derivative of -1\/96*g**4 - 3*g**2 + 0*g - h*g**3 + 0 + 1\/240*g**5. What is j in f(j) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1050492342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 541508517 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a minute in milliseconds?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 722865.\nAnswer: 3, 5, 11, 13, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13598752, -54395034, -122388838, -217580164, -339969012, -489555382, -666339274?\n\"Answer: -13598761*r**2 + r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 10*m - 41. Determine a(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 8:28 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**4 - 10*y**2 + 8 = 0. What is y?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 211, 481, 859, 1345, 1939?\nAnswer: 2641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2215*o**6*x + 204*o**3*x**2 + 110*o**2*x**2 + 34*x**2 + 13 wrt o?\nAnswer: -265800*o**3*x + 1224*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 3*n**2 - n + 2. Let d(z) = -z**3 + 3. Let x be d(0). Let o be h(x). Which is the closest to o? (a) 2\/3 (b) 1\/6 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 348*x + 9 + 1 = 346*x - 2*f, -20 = 4*x - f for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*t**4 - 15*t**3 + 202*t wrt t?\nAnswer: -156*t**2 - 90*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + u - 759 - 834 = 0, -4*u = -k + 544. Let g = -5698 - k. What is g rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.44, 1, 12, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.32 * -4.\nAnswer: 5.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 8*r**2 + 25*r - 64. Is 13 a factor of a(-34)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*d - 86 - 78 + 164 - 17*d to the form y + c*d and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -54 - -64. What is the greatest common factor of j and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/11*g**3 - 134\/11*g**2 + 0*g + 0.\nAnswer: -2*g**2*(2*g + 67)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11)\/(-22) + 802\/4. Suppose -2*b = -3*v + b + 195, -c = -3*v + b. Let y be v + -3*(0 + 1). Calculate the highest common factor of 26 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mabhmfbbmab. Give prob of picking 1 a and 2 m.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-41 - (1 - -1)) + (-40 - -18) + 21 - -6\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*u**2 + 348482096*u + 139392840.\nAnswer: -2*(u - 34848210)*(5*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4084, 1287, 6658, 12029?\nAnswer: 17400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 84 - 48. Calculate the greatest common divisor of 90 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 6*c - 4. Let t be b(-3). Suppose -5*g + 42 + 18 = 0. Let q be (-2)\/4*(-2)\/g*8. What is the closest to q in t, -3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 9*n + 121. Calculate the remainder when 110 is divided by h(-10).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 - 30 = 4*c + 5*n, 0 = 5*c + 3*n + 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/35)\/(4\/14) + 135\/(-108).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 214159?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -0*o - 2*o. Factor -10*d**2 + 4*d - d + o*d**2.\nAnswer: 3*d*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*i**2 - 14*i**2 + 32*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -3*k + 4*k. Suppose 13*o = 6*o. Suppose -j - 19 + 88 = o. What is the remainder when j is divided by k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -237\/4 - -59. Suppose 0 = 3*i - 9 - 0. Sort c, -2\/11, i, -0.3 in ascending order.\nAnswer: -0.3, c, -2\/11, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/5 + 72\/(-20). Let t(c) = 8*c + 13. Let v be t(m). What is the tens digit of (-176)\/v - 2\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14 and -1972.\nAnswer: 27608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9282 + 14934. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3267*h. Let d(f) = -6*f**2. What is w(d(v))?\nAnswer: -19602*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -359263234 * -0.1\nAnswer: 35926323.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eea when three letters picked without replacement from {o: 2, e: 2, a: 2, x: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -10 - 5*y + 0 + 7*y - 3*y. Let x be f(-12). Suppose -6*g + g - 2*t = -199, 35 = g + x*t. Calculate the remainder when 79 is divided by g.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 41272.53 tonnes?\nAnswer: 41272530000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -31321 (base 4) in base 9?\nAnswer: -1187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -12422*p**2 + 12439*p**2 + 17 - 7 as i*p**2 + d + b*p and give i.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millimeter in micrometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17550.1cm to millimeters.\nAnswer: 175501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -13*o**4 + 382*o**3 - 3280*o**2 + 5433*o - 2489. Let f(a) = 4*a**4 - 96*a**3 + 820*a**2 - 1359*a + 622. Let c(w) = 11*f(w) + 3*p(w). Factor c(b).\nAnswer: 5*(b - 5)*(b - 1)**2*(b + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 5*k**2 + k - 1. Let m be j(5). Solve -f + 2*f = -m for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - -12*(40\/15 - 3). Let p be 15 + d\/(-36)*0. Solve 6*u - u = -p for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 10*t**2 + 8*t + 34. Calculate the lowest common multiple of c(11) and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 5:11 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -7*z**2 + 16*z - 11. Let q(g) = 6*g**2 - 15*g + 11. Let x(j) = -5*l(j) - 6*q(j). Let u be x(8). Let b = u - 1. Are 3 and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1330 a factor of 30798810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5140 and 2570.\nAnswer: 5140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**5\/4 - 1251*r**4\/4 - 26676*r**3 - 479763*r**2 + 8913240*r - 30034800 = 0 for r.\nAnswer: -309, -60, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.379033 rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -6*k**2. Suppose g - 2*n - 109 = 0, -466 = g - 5*g - 2*n. Let r(j) = -236*j + g*j + 107*j. Calculate r(w(c)).\nAnswer: 84*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-117)\/39*(44\/(-3))\/(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - v = 3, -4*l - 4*v = l + 12 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 4*l + 8*l)*(-1 + 1 + l**3)*(-5 + 6 + 7).\nAnswer: 64*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y + 37 = 21 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15881280 <= 15881279?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1211 (base 3) to base 8.\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + m + m = 74, 47 = x - m. Suppose 15*d - 78 - x = 0. What is the least common multiple of 21 and d?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1902001979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -2*i**3\/3 - 2. Let r(b) = 18357 - 35*b - 14*b**2 + 35*b - 18355. Determine r(g(z)).\nAnswer: -56*z**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -57 + 59. Let b(v) be the second derivative of -1\/20*v**5 + 0 - 9\/2*v**3 + 3*v - 27\/2*v**k - 3\/4*v**4. Let b(s) = 0. Calculate s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**3 + 52*w**2 + 49*w + 10. Calculate the remainder when 2050 is divided by c(-25).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(1331) + -2)**2 + -4 - sqrt(1331))*-5*-1.\nAnswer: -275*sqrt(11) + 6655","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-22) + (-2)\/11. What is the derivative of v*r**4 + r**4 + 5 - 2*r**4 - 3 wrt r?\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**3 - 141*c**2 - 77*c + 528. Calculate q(71).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 13*h**2 - 3*h - 32. Let y(z) = -z**3 - 12*z**2 - 9*z + 9. Let a be y(-11). What is the lowest common multiple of 2 and w(a)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, a: 1, j: 1, r: 1, i: 1, s: 2}. What is prob of picking 1 w and 1 j?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 2 = -2*m. Suppose d + 3*q = -2*d + 57, 0 = -m*d - q + 107. What is the smallest common multiple of d and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of g**8\/1344 - g**7\/42 + g**6\/3 - 8*g**5\/3 + g**4\/12 - 32*g**2. Let a(l) be the second derivative of u(l). Factor a(y).\nAnswer: 5*(y - 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d - 2405 = -17*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 7*f + 5. Let a be s(7). Suppose -y = a*i, 2*y + 2*i = -3*y + 69. Calculate the remainder when 44 - 0*1\/2 is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 18400573 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 7*h**2 - 6735*h - 353194. Calculate f(1012).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28215\/(-419 - -210)*(-6)\/10?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -51*j + 73. Let s(b) = -51*b + 125. Give 2*s(a) - 3*z(a).\nAnswer: 51*a + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/5 - 92841806*n**2\/5 - 1077449978404982*n\/5 + 3232350770791254\/5.\nAnswer: -2*(n - 3)*(n + 23210453)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 242193 and 210.\nAnswer: 2421930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 - -29.6. Let h = -3.3 - i. Is -1 greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g - 4. Let m be t(-6). Suppose 0 = -q + 5*n + 4, -6*q + 4*q - n = -m. Is 339\/q + (-2)\/(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000015017 rounded to seven decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of w**5\/15 + 95*w**4\/3 + 18050*w**3\/3 - 232*w**2. Solve x(i) = 0 for i.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 22*w**2 + 88*w + 917. Does 6 divide q(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -16*c + 51. What is the second biggest value in c, 0, 147?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.18895256875 - -106.81104732125. Let i = s - 107. What is i rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-seven fifths of a litre?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 + 40.6. Let m = g - 7. Suppose -4*w = -7*w - 6. What is the smallest value in w, -5\/2, m?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, f: 5, q: 5, w: 4, p: 1}. Give prob of picking 3 d.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.09? (a) -1\/4 (b) 3 (c) -1\/5 (d) -0.7 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35047237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c - 3*c**2 - 6*c)*(c**3 + 9*c**3 - 3*c**3).\nAnswer: -21*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -64 - -74. Calculate the greatest common divisor of 10 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 536 divided by 4.\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2*z + 1)*(-3 + 1 + 5)*(-1 - 2*z**3 + 0 - z**3) to the form c*z**4 + b*z**3 + f*z + h*z**2 + w and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, -0.3, 3610.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 7:07 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.11 (b) -127 (c) -5 (d) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1597541 + 1030649. Let i = b - -1246892. What is i rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -380113*v + 334620?\nAnswer: -380113","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320 is divided by 21.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/6)\/((-4)\/6)*2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114210\/(-720) + 124 - 34*-1?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z + 1. Let v be g(4). Suppose 104 = 28*i - 2*i. Suppose -3*c + 73 = 2*f + 4, -i*f + 171 = -5*c. What is the highest common divisor of v and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 581 and 1871816?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-6)*108\/(-135)*-20.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -643901.\nAnswer: -6\/643901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -12404 times -0.34?\nAnswer: 4217.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-3*-4*(sqrt(833) - (-5 + 3*sqrt(833)) - (sqrt(833) + 1*sqrt(833))*1).\nAnswer: -2016*sqrt(17) + 360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 5*y - 3*y**3 + 5*y**3 + 7*y to the form a*y + c + g*y**2 + x*y**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 175 - 227. Let d = -49 - w. Solve u - d*u = -8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**3 + 0*h**2 + 0*h**2 + (2*h**2 - 3*h**2 + 3*h**2)*(2*h + 2*h - 5*h) - 2*h**3 - 2 + 24*h - 11*h**3 - 2*h**2 + 11*h**3.\nAnswer: -7*h**3 - 2*h**2 + 24*h - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 2. Let k = 2 + c. List the prime factors of (-14)\/k*(-6)\/7.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -3 + 2 - 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z - 4 - z**2 + 1 - 3*z**2. Let f = 64 + -57. Let y(l) = -l**3 - 10 + 4*l + 0*l**3 - 13*l**2 + 3*l. Determine f*n(x) - 2*y(x).\nAnswer: 2*x**3 - 2*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of 95*k**7\/42 - k**5\/30 - 979*k**4\/8 + 1978*k**2 + k. What is the third derivative of a(s) wrt s?\nAnswer: 11400*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 25?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 1 = 11. Suppose -3*z = -4*n - 38, 0 = 2*n - 13 + 39 - 16. Are t and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*t - 328 = -0*t, -2*i = -5*t - 148. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1043.\nAnswer: 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of o**5\/60 + 5*o**4\/12 + 2*o**3 - 4*o**2 - 4. Is b(-13) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -88, -78, -62, -40, -12, 22, 62?\n\"Answer: 3*c**2 + c - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 8 - -3) + -51 + -16 + 1 + 2.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 2*g - g + 5, -4*t - 4 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*b + 22 = 0. Let g(c) = -2*c**2 - c + 12. Let i be g(-4). Let m(v) = -7*v - 100. What is the least common multiple of m(i) and b?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mz when two letters picked without replacement from {v: 1, j: 3, y: 1, z: 1, r: 2, m: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-408))\/(189\/(-168)).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -74952 divided by -8328\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (628 + 461*z - 628)*(9 - 7 + 8).\nAnswer: 4610*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42598684 to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.467287724 + 0.4673. What is s rounded to 7 decimal places?\nAnswer: 0.0000123","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/15 or 208242?\nAnswer: 208242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-one quarters of a day?\nAnswer: 7560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67 - -72. Suppose 4*f - 278 = -z*i + f, -3*f = -5*i + 272. Let k = -46 + i. Does 3 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 9*j**2 + 21*j + 15. What is f(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-92)\/126 - (-174)\/609. Which is the second smallest value? (a) 0.1 (b) v (c) 0.02 (d) 5 (e) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -512d + -4?\nAnswer: -5132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 742337448 divided by -19535196\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/45 and 109\/500.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2240 and 24528?\nAnswer: 490560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 5:00 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 3*x + 2. Let j be w(-7). Let i = 17 - j. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -1917*j**3 - 5*j**2 - 10*j - 5. List the prime factors of n(-1).\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*r + 9*r + 11*r - 36*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t*t*t**(1\/18)*t*t*t)*t\/(t\/(t**6\/t*t)))\/(t**(-13)*t*t)**(-36))**(-1\/9) assuming t is positive.\nAnswer: t**(7111\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -z + 2*f + 16, -4*z = -3*f - 22 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.090177 to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = -626 + 167. What is the remainder when d is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 117449, 234883, 352291, 469661, 586981?\nAnswer: 704239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -2844\nAnswer: -14220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*k*m**2*q**2 + 8*k*m**2 - 6250885*k*m*q**2 - 30*k*m*q - 2*k - 3*m**2*q + 35*m**2 + 43*m + q wrt q?\nAnswer: -8*k*m**2 - 12501770*k*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7, 11, 15, 19, 23?\n\"Answer: 4*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + (0 - 1)\/(11\/33). Sort v, -16, 1 in increasing order.\nAnswer: -16, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 divided by -14747895.\nAnswer: -4\/1638655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109, 79, 27, -59, -191?\nAnswer: -381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*w**2 - 25 + 25)*(11 - 11 - 565*w**2 - 110*w**2).\nAnswer: 7425*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*v + 2*v + 2684 = 0 for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p**3 + 6*p**3 + 4 - 10 - p)*(22 + 720 - 128 + 369).\nAnswer: 983*p**3 - 983*p - 5898","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 35632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of r**6\/18 + 7*r**5\/15 + 5*r**4\/12 - 7*r**3\/9 - r**2 - 28. Determine i so that j(i) = 0.\nAnswer: -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*o - 1 = -0, 0 = 3*f - 4*o - 27. Let x = 8 - f. Suppose 71 = 4*k + 5*u, -4*u - 44 = -x*k + 17. List the prime factors of k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4*o = 232, o = 3*t - 15 - 163. Let j = 62 - t. Factor -4\/11*k + 0 - 2\/11*k**j + 6\/11*k**3.\nAnswer: 2*k*(k - 1)*(3*k + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*s - 6 = 140*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1751606?\nAnswer: 2, 875803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**2*s**4 + 55*j**2*s - 2*j*s**2 + 178*s**5 wrt s?\nAnswer: -24*j**2*s + 10680*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2111001120222220 + 11?\nAnswer: -2111001120222202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c + 264*c**2 + 2*c + 222*c**2 - 570*c**2.\nAnswer: -84*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.97 + -0.03. Let t = -11 - g. What is the third smallest value in t, -0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 25*p - 4*p - 31*p)*(-1200 + 353 - 654).\nAnswer: 85557*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -309\/7?\nAnswer: -309\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xcc when three letters picked without replacement from {x: 4, c: 1, d: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*j + 6*j - 9*j. Which is the second biggest value? (a) -5 (b) 7 (c) j (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {f: 1, x: 3, r: 3, y: 3, p: 2, c: 3}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*q = -c - 5, -534*q + 536*q - 11*c + 185 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.16001 - 391.83999. What is the third biggest value in l, 2\/7, -1\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63502213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 14 = -2*t. Let c = -6 + t. Suppose -f - 14 = -4*y, -7 + 18 = c*y - f. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 302395538 to the nearest integer?\nAnswer: 17390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**3 + 27*s**2 + 3423*s + 3393 = 0?\nAnswer: -29, -1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -k**11\/13860 + k**7\/630 + k**4\/3 + 3*k. Let l(i) be the third derivative of r(i). Find the third derivative of l(v) wrt v.\nAnswer: -480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 25, 10, -11, -38, -71, -110?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -14\/471?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c = -4*l + 103, 3*c - 2*l - 351 + 396 = 0 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 5:40 PM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*15\/(-5))\/((-1)\/(-1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 5*t**2 + t. Let a be f(-1). Suppose 0 = 3*v - 5*v - a. Let m be v\/4 - (-25)\/90. Which is bigger: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, l: 5, x: 2, m: 2}. What is prob of picking 2 m?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9757 is divided by 2411?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 1735*j + 86044. Give t(-50).\nAnswer: -706","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/345824 and -5\/25856.\nAnswer: 2766592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 657 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37644 (base 9) to base 5.\nAnswer: -1302222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9442230 is divided by 205265.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 53*m**3 + m**2 - m. Is 18 a factor of a(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p. Let s(o) = -83*o + 8. Let u(q) = -5146*q + 498. Let l(j) = -249*s(j) + 4*u(j). Determine z(l(v)).\nAnswer: -166*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2334852 is divided by 1708?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1528 and 39.\nAnswer: -59592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*h = 6*h + 294, 0 = -v + h - 75. Let c = v + 138. Does 2 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-250)\/200*((-1113)\/105 - -25).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/(8\/12)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2743 - 436142\/159. Which is bigger: -18 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1581 + -1576. Is -13 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(18*v - 3*v + 5*v) - 3*v - 2 + 2 + (4 - 2 - 1)*(-4*v + 4*v + 2*v).\nAnswer: 19*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1320 or 554?\nAnswer: 554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 14 - 2) + 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(34)\/(sqrt(2) - 1*sqrt(18)) + ((sqrt(17) - sqrt(17)*2) + -5 - (sqrt(17) + 2*sqrt(17) + 2))**2)*-3.\nAnswer: -972 - 333*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 8041*c - 844337. Determine o(105).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1244.3 - -14.3. Let n = l - -1230.0000529. Round n to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h*l**3*t*x - h*l**3*x - h*l**2*t*x + 16*h*l**2*t - 2*h*t - 2*l**3*t*x + 5*l**3 + l**2*t*x wrt l.\nAnswer: -6*h*t*x - 6*h*x - 12*t*x + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/3 - 2) + 18\/54. Which is the third biggest value? (a) 0.5 (b) -68 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10224377?\nAnswer: 1213, 8429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11411085.\nAnswer: 3, 5, 7, 108677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -6*o**3 + 2*o + 4. Let j(f) = 7*f**3 + f**2 - 2*f - 5. Let c(h) = -6*i(h) - 5*j(h). Calculate c(3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*r - 20578 = 3*t, 2*t = 0. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u - 10. Let k be c(2). Let z be ((-4)\/k)\/(14\/(-21)). Sort z, -2, 1 in decreasing order.\nAnswer: 1, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 f when two letters picked without replacement from aaaafaafa?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/4)\/(1209\/93)\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4642 (base 8) to base 6\nAnswer: -15230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5*t**2 - 1. Let c be y(-1). Suppose -105 = -c*j - 9. Suppose 4*q - 20 = j. What is the remainder when 31 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -62*t**2*x**2 + 104*t**2*x - 2*x**2 wrt x?\nAnswer: -124*t**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.03 (b) 1\/3 (c) 8\/7 (d) 183\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -30*x**3 - 19*x - 18*x**2 - 33*x**3 + 64*x**3. Let v be p(19). Put 2, 8, -4, v in increasing order.\nAnswer: -4, v, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*2*(-685)\/10. Let m = -25 + 30. Suppose -2*h + 127 + 13 = d, d = -m*h + s. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1105762?\nAnswer: 2, 7, 19, 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -z**2\/2 - 6*z + 2. Let a = -19 - -11. Let c be u(a). What is the nearest to -1\/3 in 0.2, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1*(sqrt(300) - (-1 + sqrt(300))) + sqrt(300) + 1 + 5 - ((sqrt(300) - (0 + sqrt(300)))*2 + 3))**2.\nAnswer: 120*sqrt(3) + 912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + y - 1. Let m(w) = -38*w**2 + w - 1. Let x(l) = -m(l) + 2*v(l). Is x(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/9 - 11246*d\/9 + 22484\/9.\nAnswer: 2*(d - 5621)*(d - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23192688 - -0.3.\nAnswer: 23192688.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 28096?\nAnswer: 84288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1152301 and -3?\nAnswer: 3456903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -282, 0.5 in decreasing order.\nAnswer: 0.5, -5, -282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7787827 plus -821.4233?\nAnswer: -819.6445173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - 0) + (27 - (101 + -52)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 25*w = 22*w - 19, 1 = 5*t + 3*w for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - h**2 - h. Let o(l) = 3*l**3 - l**2 - 6*l. Let q(m) = 6*f(m) - o(m). What is the third derivative of q(b) wrt b?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -218 - 20. Let w = y + 604. List the prime factors of w.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -25062576 and -25062576 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.92 + -1.92. What is the closest to -3 in -2\/13, -1, 0.9, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 0*o**4 - 21*o - 1\/3*o**6 + 0*o**2 + 0*o**3 + 0*o**5 + 0 + 15\/14*o**7. What is s in k(s) = 0?\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 99\/7 (b) 4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1629 in -0.5, -5, 1, -71?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 15 (b) 1.21 (c) -0.01 (d) -2\/13 (e) 25\/6 (f) 1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1058752999?\nAnswer: 1058752999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1197441188 to the nearest 100000.\nAnswer: 1197400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.58 times -3?\nAnswer: 19.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -u**4\/6 - 576*u. Let w(t) be the first derivative of 31*t**2 - 3. Give i(w(d)).\nAnswer: -7688*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1, -27, 679 in descending order.\nAnswer: 679, -1, -6, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*s - 8 = 4, 0 = 5*u - 5*s - 15. Suppose -2*p + 20 = 4*c, p - u*c + 12 = 3*p. Let v = 2 + p. Solve 2*k = -l - v, -2*l - 6 = 3*k - 5*l for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 2*t - 1. Let n(j) = -2*j**2 + 2*j + 2. Let x(i) = -3*m(i) - 2*n(i). List the prime factors of x(-5).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**4\/10 + 4*f**3\/15 - f**2\/5 - 4*f\/5 + 3. What is r in p(r) = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 545 - 567 - (-19 + (-8)\/(-2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 50, 71, 92, 113?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) 5\/6 (c) 0.1 (d) 0.0642\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -34. Calculate the remainder when v is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3)*m\/((m**(3\/5)\/m)\/m))**(-32) assuming m is positive.\nAnswer: m**(96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14203226 by 4.\nAnswer: 7101613\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70269790.\nAnswer: 2, 5, 19, 369841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -626948, -626953, -626968, -626999, -627052, -627133?\n\"Answer: -a**3 + a**2 - a - 626947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1413 + -504. Let g = -904.92 + t. Round g to 1 dp.\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/3 + 1291*i\/3 - 2570.\nAnswer: -(i - 1285)*(i - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -654*w + 366321 = 363705 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5973474211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51 + -3. Suppose 6*x - c + 0 = 0. Solve 4*m + x = -0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -74 - -56. Let j = -0.234992 + 18.239292. Let y = j + c. Round y to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 6*l**2 - 7*l + 4. Let i be z(7). Suppose 0 = c - 5*k - 69, 2*c - 193 = -i*k + 3*k. Is 33 a factor of (c\/1)\/(-1 + (4 - 2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 102*s**2 - 34*s - 84*s**2 + 32*s.\nAnswer: -186*s**2 - 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 j, and 1 r when three letters picked without replacement from {c: 1, r: 1, o: 1, s: 1, j: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2, -39, -4, 17, -79, -7 in descending order.\nAnswer: 17, 2, -4, -6, -7, -39, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7863185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + (-1)\/2)\/((-21)\/(-28)). Let g = -51 + 83. Suppose -5*j = 5*h - 580, h + v*j - g = 79. What is the highest common divisor of 11 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 11 and 6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 383*r**3 + 4*r**2 + 5*r. Let u be b(5). What is u rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/5*753750\/(-13400)?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h = -h - 16 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 2*b. Suppose -20 = 5*u - 15*u. Let c be d(u). Solve s = -c*s + 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (33\/220)\/(21\/(-14)). Which is the nearest to -2? (a) -1 (b) i (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 248 + -248.1. Let k = -5\/2 + 23\/8. Which is greater: k or o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 735 + -970. Let h be o\/(-15) + -6*(-4)\/72. What is the greatest common divisor of 20 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 a factor of 40176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -6 + 21, 5*m - 120 = -4*k. Solve 0*t - m = -4*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34 + -1 - -108) + (-12 - 0 - 0).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*2*sqrt(539) - ((2*sqrt(539)*4)**2 + sqrt(539)).\nAnswer: -34496 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -166, -407, -646, -883, -1118?\n\"Answer: h**2 - 244*h + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -i**5\/60 - i**3\/6 + 2*i**2. Let o(f) = -10*f**2 - 15. Determine o(g) - 15*x(g).\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + h - 8 = 0, 3*r + 3*h + 141 - 153 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2757, 11202, 25173, 44664, 69669, 100182, 136197?\nAnswer: 177708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 1. Let s be ((-72)\/21)\/((-6)\/42). Let p = 26 - s. Solve -c = f - p*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.81? (a) -287\/3 (b) -1\/2 (c) -0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3280 and 70?\nAnswer: 22960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 72 = -5*a, -2*o + o + 3*a + 25 = 0. Calculate the remainder when 450 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.3 - -23.7. Let m = k - 32. What is the closest to m in -1\/5, -5, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4510385*d**3 + 93672*d**2 - 47*d wrt d.\nAnswer: 27062310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -817 (base 13) to base 15.\nAnswer: -617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 140 and 10444.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 1. Let l be 2 + -1 - 1\/t. Let j(f) = f**l - 2*f**2 - 5*f - 5*f**3 + 7*f**3 + 5. Let k(u) = -3*u**3 + u**2 + 7*u - 7. Determine -7*j(s) - 5*k(s).\nAnswer: s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*n - 5. Let u = -17385 - -17394. Suppose u*c - n*c = 108. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of l**7\/6300 - l**6\/1800 - l**5\/150 + l**4\/12 - 4*l. Let j(w) be the third derivative of n(w). Suppose j(s) = 0. What is s?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*p + 2*o - 16, 60 = 5*p - 3*o. Let g(m) = 10626*m**2 - 12*m. Let q be g(p). What is q rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*u + 1613 = -263*u - 896 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42724700, -85449402, -128174108, -170898818, -213623532, -256348250, -299072972?\nAnswer: -341797698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7801\/2266 - 69\/103. Calculate the common denominator of 59\/16 and p.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.005 + 0.5.\nAnswer: 4.505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 3*d**3 + 108*d**2 - 1008*d + 2112 = 0.\nAnswer: -44, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - -4*(-7)\/(-13). Let f = 6.3 - 6. Let v = -1.7 - 0.3. Which is the third smallest value? (a) k (b) v (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26367 divided by -1?\nAnswer: 26367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -55*q + 1. Let k = 20 + -20. Suppose 5*x + 2*l + 2*l + 4 = k, 3*x - 4*l + 28 = 0. Is s(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -127 > -128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u + 323 + 445 = 24*u. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 430 and 30?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (-3 + -1)) + 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + (sqrt(300) - -1*sqrt(300))*1 + sqrt(300) - sqrt(300)*-2*4)\/(-1*sqrt(72)\/(sqrt(6)\/sqrt(3) + sqrt(2))).\nAnswer: -40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**3\/11 - 140*o**2\/11 + 283*o\/11 - 142\/11 = 0.\nAnswer: -142, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 143 + -427\/3. Let k = -4163\/57 + 73. Sort -2\/5, k, l in descending order.\nAnswer: l, k, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 88*a**2 - 79*a**2 + 166*a**2 + 0*a**3. Let v(b) = 5*b**3 + 5*b**2. Let d(k) = -k - 1. Let x be d(2). Calculate x*i(q) - v(q).\nAnswer: -2*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-66)*(-110)\/(-385) - (-1 - 13846\/231)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 135\/(-10)*(-4)\/3. Suppose -2267 = -u + x. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2254, -4517, -6788, -9073, -11378, -13709, -16072?\n\"Answer: -n**3 + 2*n**2 - 2262*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 7*k + 5. Is q(-6) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-6*((-1980)\/(-40))\/33?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 - 20 - 36 + 79 - 5779*o**2 to j*o + y + a*o**2 and give a.\nAnswer: -5779","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(7) + sqrt(7)*-3)**2 - (2*sqrt(70) - sqrt(70))\/sqrt(10).\nAnswer: -sqrt(7) + 168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -196, 5, 4 in decreasing order.\nAnswer: 5, 4, -196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 14) to base 7.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 23*f + 10. What is the remainder when u(8) is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93858092.\nAnswer: 2, 23464523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**2\/5 - 146*i\/5 + 84 = 0. What is i?\nAnswer: 3, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.2 and 125.\nAnswer: 121.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hbbbbbbbbbbbbbbbbbbh?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 (base 10) in base 9?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 87 and 10944.\nAnswer: 317376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111, 112, 89, 30, -77, -244, -483, -806?\nAnswer: -1225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -1219?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -13*d - 1. Let a(c) = -8*c. Let y(j) = -8*a(j) + 5*b(j). Let n = -6 - -10. Suppose -n*o - 19 = 5. Determine y(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -3*i + 789, -4*o - 2*i - 50 = -844. What is the remainder when 923 is divided by o?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1809420?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s + 52*s - 97*s - 95*s.\nAnswer: -136*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 37648*v + 36119*v + 37636*v - 109372*v in the form c*v + m and give c.\nAnswer: 2031","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x = 17*x - w + 10, 0 = 2*x + 5*w - 14. Which is the fourth biggest value? (a) -0.4 (b) -3\/4 (c) x (d) -1\/3 (e) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 31124, 31116, 31108, 31100?\n\"Answer: -8*n + 31132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -5*f + 6. Let t(o) = 0 - 27*o**3 - 1 - f*o**3. Is t(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 116870000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -15, 7.44, -277, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 10:41 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17943\/133 - 2604\/19. What is the closest to 0.2 in k, 6\/13, -4?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*i**2 - 5*i**2 + 3*i**2)*(-i**2 - i**2 + 0*i**2) - i**4 + 2*i**4 + i**4 + 0*i**4 + 0*i**4 - 3*i**4)*(-5 - 2 + 6).\nAnswer: 5*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -680 divided by 496?\nAnswer: -85\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 675*z - 14 + 479*z - 394*z + 10 in the form h*z + x and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 5.595969 grams?\nAnswer: 0.000005595969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8052 and -0.2?\nAnswer: 1610.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - -110. Suppose 27 = 2*p - o. What is the common denominator of -21\/16 and (4\/22)\/(4\/p)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -584*y - 82. Give x(0).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 22\/46*-2 + (-61 - (-3386448)\/55614).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 5*b - 206, 0 = 4*b - b - x - 117. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 18 = -122. Let d = u - 35. Solve 3*v + 0*v - 5*f - 21 = d, 5*f = -15 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 385032.878 to the nearest 10.\nAnswer: 385030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -9*v - 2 + 2. Let p(a) be the first derivative of -a**4\/12 - 53*a**2\/2 - 41. Let b(g) be the second derivative of p(g). Calculate m(b(s)).\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15372023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 17473830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = 9*x + 1917. Let d = -67 - x. What are the prime factors of d?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4238933 smaller than 4238932?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y - 1. Let f(z) be the second derivative of 2*z**3\/3 + z**2 - 2*z. Let d(n) = f(n) + 2*k(n). Let h(j) = j. Determine h(d(u)).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 64, 65, 66, 67, 68, 69?\n\"Answer: s + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*f + 617851 - 617669 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of z**5\/5 + z**4\/24 + 29*z**3\/3 + 59*z**2. Differentiate w(o) wrt o.\nAnswer: 24*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - -26. Suppose 3*h = 3*c + 30, 2*h = 3*h - 5*c - 14. Sort -2, h, r in descending order.\nAnswer: h, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 15 = 0, 102*z + 3*h - 6 = 105*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44 + -9. Let g = 23 - a. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317681 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/64 and -41\/32.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 6 = -4. Let l(r) = 8*r**b + 5 + 5*r - 11*r**2 - 5. Let u(k) = -4*k**2 + 6*k. Determine -6*l(i) + 5*u(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -5. What is the second derivative of -z**5 - z**i + 5*z**5 + 2*z wrt z?\nAnswer: 60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1720408 - 0?\nAnswer: 1720408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-108)\/15 - (-12)\/(-15). Let z(n) = -n**2 - 10*n - 14. Let f be z(c). Let a be 1 + (-3 - -2) - -4. Solve a = -h + 3*h, 5*y - f*h = -29 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 162.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -27*c**2 - 10*c - 32. Let d(a) = -26*a**2 - 8*a - 27. Let j(w) = 6*d(w) - 5*t(w). What is j(1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29894.2009 rounded to the nearest 10?\nAnswer: 29890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -2431534?\nAnswer: -2431535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**3*z - d**3 - 292*d**2 - 2*d - 2*z - 570 with respect to d.\nAnswer: 6*d**2*z - 3*d**2 - 584*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -4775 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 116.6972 millilitres in litres?\nAnswer: 0.1166972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - 99\/27)\/((-294)\/99 - -3). Solve c = 15 - l, -5*c + 25 = 5*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 29671012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 2*d + 7. Let h be a(-4). Let r be 2 + (-1)\/h + -15360006. Let q be r\/(-24) - (-3)\/(-24). Round q to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 13*l**2 + 14*l + 3. Let n(y) = y**3 - 8*y**2 + 5*y. Let w be n(7). Let f be t(w). Is f\/6*278\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 690745250?\nAnswer: 2, 5, 13, 16349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-36) - 74\/(-9). Find the third derivative of -11*r**2 + 6*r**2 + x*r**2 - 2*r**3 wrt r.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k - 1. Let l(a) = -2*a. Let t(f) = -4*l(f) - 2*m(f). Let b = -21 + 24. What is the remainder when t(b) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 - 6) + 1 + -2. Let g be (-20)\/6 + 4\/12. Which is the closest to 0.1? (a) 2\/21 (b) u (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399 is divided by (-11 + 1)\/((4\/(-6))\/(150\/225)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -4240, 1, 3, -7 in ascending order.\nAnswer: -4240, -7, 0, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 - -35 - (-13 + -10 + 2).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 2*c = 24, -29*c + 9 = 3*p - 26*c for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21*10 + -2 - -3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 2*z + 35 + 33, -4*z - 106 = 2*l. Let v = z + 11. Let b = 30 + v. Solve -3*m + 35 = 2*m + 5*j, 3*j = -2*m + b for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*l**2*v*x - 98*l**2*v + l**2*x - 5*l**2 + 2*l*v + 46*l*x - 11*v*x wrt l?\nAnswer: 6*v*x - 196*v + 2*x - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13638.7 + -13638.755739. What is c rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41110324921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 5*j + 1 = 0. Let h = 1 - j. Suppose 3*t - 41 = b, -3*t - b = -h*t - 31. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 8. Let r = y + 9. Which is the biggest value? (a) r (b) -0.5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 25 = -5*f. Is 4 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3967 - -3997. Suppose -37*n = -41*n + 240. Calculate the lowest common multiple of i and n.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 29*y**2 + 63*y - 3. Let c be k(31). List the prime factors of -2 - (-44)\/c - 31476\/(-42).\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 116 and 8.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -341*x**2 + 404*x**2 + 295*x**2 + 485*x**2 + 95*x**2 in the form g*x + v + i*x**2 and give i.\nAnswer: 938","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -9, -5, 4, -5\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 8:00 PM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 609?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -486182*g**4 - 13*g**2 - 961859*g - 69 wrt g?\nAnswer: -5834184*g**2 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*l + 2*l**3 + 2*l**3 + 14*l - 4*l**2 - 9*l**3 - 8 as o*l**2 + k*l + t + y*l**3 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -c**7\/525 + c**6\/75 - c**5\/30 + c**4\/30 + 22*c**2. Find o such that t(o) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4321744 is divided by 288106?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 2*k + 1. Let m be y(2). Suppose -3*l + 0 = 12, -m*l = -5*b + 20. Does 11 divide (1 - b) + 1458\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - (-296)\/28) + (-11)\/7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 5 - 6 - m - 12*m + 27*m as r + h*m and give h.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18669 and 8138541?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1020122 + 21220121000?\nAnswer: 21221211122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*h + 6*h, -2*l - h = -23. Suppose -3*g + 9 = -l. Let d = g + -11. Let x(r) = r + 3. What is x(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -7*r**3 + 6*r**2. Let d(o) = 2*o**3 - o**2 + o - 1. Let m(q) = 35*q**3 - 24*q**2 + 7*q - 7. Let x(i) = -7*d(i) + m(i). Determine -17*a(c) - 6*x(c).\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 6 = -2*o, -3*v - o + 0*o = -9. Let m(b) = -b**3 + 7*b**2 - 4*b + 4. What is the tens digit of m(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -0.1 (c) -5 (d) -3\/67 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.428 + 0.128. What is the closest to 0.1 in -0.4, -4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/11 - 215288*z\/11 - 1076390\/11.\nAnswer: -2*(z + 5)*(z + 107639)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4155)\/27700)\/(60\/(-64)).\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -11*s + 5. Let z(k) = -k - 18. Let n be z(16). Let g = n - -42. Let l(p) = 17*p - 8. Determine g*m(w) + 5*l(w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/10)\/((-31)\/((-2170)\/(-28))). Let p(r) = 5*r**3 - r**2. Let a be p(-1). Sort 4, a, -5, s.\nAnswer: a, -5, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -2*f + 339. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + q = -1783, -93 = -w - q + 266. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -60 - -62 - (-1 - 0). Let x(z) = 2*z + 4*z**3 + z**3 - 4*z**l - 1 + 0*z - z. Calculate x(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 0. Suppose r = -3*y + 4*y - 10. What is the lowest common multiple of y and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - 4, 0 = 3*r + 2*g - 24 + 10 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a kilometer in centimeters?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*i**4 + 4*i**3 - 7744*i wrt i.\nAnswer: 408*i**2 + 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**3 - 73396*z**2 - 4316200*z + 4389600 = 0. What is z?\nAnswer: -18290, -60, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 52 = 21*f. Suppose -3*y = 5*w - 30, -y + w = -0*y - f. Calculate the remainder when (-108)\/(-14) - 2\/(-7) is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = f - 114361, 3*f - 46*g = -49*g + 343077. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8841.\nAnswer: 3, 7, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6758160, 13516323, 20274488, 27032655, 33790824, 40548995, 47307168?\nAnswer: 54065343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 892 divide 134166612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/6, -85, 9.6225?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 104353900, 104353899, 104353898?\n\"Answer: -b + 104353901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3502*f**2 - 391874964 + 391874964 - 21*f**2.\nAnswer: -3523*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, y: 2, r: 1, i: 1, d: 1, f: 1}. Give prob of picking 1 d and 1 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 4*t - 30. Let a = -5 + 3. What is the smallest common multiple of 0*a\/6 + t and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29520 and 40278.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 8*t**2 - 21*t + 12. Let h be u(10). Suppose -10*b = -8*b + h. Which is bigger: b or 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**7\/j**(-13))\/(((j*j*j*j*j\/(j\/((j**(-1\/17)\/j)\/j))*j*j)\/j)\/(j**(-1\/3)*j*j)) assuming j is positive.\nAnswer: j**(955\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-155)\/(-15) + (-26)\/(-39)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 999.9378 millilitres in litres?\nAnswer: 0.9999378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -3. Let m = -5 + -1. Let i = a - m. Which is smaller: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of y**4\/24 - y**3\/6 - 2*y**2. Let m be w(5). Suppose 0 = 3*f - m*f + 67. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 238957 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 15*z. Let x be 3\/(-3) + 33\/6*2. Suppose 0 = k + 9 - x. Let i be n(k). Solve 5*c = -i, c + 9 = -3*s - 0*c for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 q, and 1 t when three letters picked without replacement from {q: 3, e: 1, t: 4, k: 3}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - 74\/3. Suppose 0 = -5*m - 3*u + 16, m + 4*m - 4 = 3*u. Which is the nearest to 2\/7? (a) m (b) -1\/6 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tu when two letters picked without replacement from {u: 9, n: 8, o: 2, t: 1}?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/3 + (-9024)\/816 - -7.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -24.89 * -12\nAnswer: 298.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -10, -23, -40, -61, -86, -115?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37148?\nAnswer: 2, 37, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 y when three letters picked without replacement from {y: 7, k: 1, g: 2}.\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7818011326 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 190\/50 - 1\/(-5). Let b = 95 + -88. What is the second smallest value in -3, 0.1, b, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 322*z - 313*z. Put 84, 4, z in descending order.\nAnswer: 84, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 581079?\nAnswer: -581084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.76 - -80.\nAnswer: 76.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -98 + 166. What are the prime factors of n?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8106\/90 + (-1 - -2). Let k = c + -462\/5. Which is smaller: k or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/13*-2 + -75 + (-464651)\/(-6201)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -9*d, 28*h - 52*h + 29*h + 16 = -d for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-1) + ((-1)\/1 - 0). Suppose -2*m = 3 + 7, n + 3*m - 2 = r. Solve n*j - 15 = 12*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-475)\/(-25)*((-90)\/(-18))\/(-5)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -65368007*r**3 - 294543861*r wrt r?\nAnswer: -392208042*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**2\/9 + 3788*b\/9 + 16640\/3 = 0. What is b?\nAnswer: -13, 960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1369 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 99.073 + -99. What is the second biggest value in 0.1, k, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2022 (base 7) to base 4\nAnswer: 22332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15.444571*0.2.\nAnswer: 3.0889142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3577280 (base 9) to base 3.\nAnswer: -10122121022200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 54382.2 centuries in decades?\nAnswer: 543822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 333*h - 4. Let w(t) = 2663*t - 34. What is 51*i(o) - 6*w(o)?\nAnswer: 1005*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -21. Let u = 8 - 29. Let b = -187\/9 - u. Sort -5, s, b, 1 in descending order.\nAnswer: 1, b, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 - 59 = -24*a + 37*a + 146 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0*(-1)\/(-2))\/(-2))\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -6. Let r be 152\/266 - ((-10)\/7 + 1). Sort r, u, -4 in decreasing order.\nAnswer: r, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*u - 0. Suppose 4*o - u*o = -15. Factor 20*a**3 - 5*a**o - 17*a**3 + 2*a**5.\nAnswer: -3*a**3*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**3 + 325*t**2 - 3410*t - 8160 = 0.\nAnswer: -2, 16, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5098028 divided by -64532.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6648 + 9891. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003256566173 rounded to six decimal places?\nAnswer: 0.000326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r**2 + 2*r - 2. Let q be k(1). Calculate the common denominator of -11\/6 and (q\/(-72))\/((-1)\/113).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.72 - -7. Let f = -0.02 - z. Suppose -5*c + 2 = -o, -c = -2*o - 2*c + 7. What is the nearest to 2 in o, -5, f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93790.\nAnswer: 2, 5, 83, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 2, 3\/2, -0.3 in increasing order.\nAnswer: -0.3, 3\/2, 2, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**5\/15 + 1615*k**2. Let t(c) = -2 - 3 - 10*c**2 + 5. Give d(t(z)).\nAnswer: -400*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 716.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of 7*a + 19\/3*a**3 + 0 - 3*a**2. What is the derivative of u(w) wrt w?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.04 - 0.34. What is the closest to -1 in -5, m, -8?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - l**2 + l + 7. Let v be x(0). Let t be 118\/2 - 18\/(-1 + v). Let k = t - -11. List the prime factors of k.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -4. Let m be (-10)\/16*(-2)\/h. Is m less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of 0 - 5\/24*o**4 - 1\/2*o**3 + 0*o + 1\/30*o**5 + 3*o**2. What is the units digit of q(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -6.6. Let g = 0.47 + -0.43. Which is the closest to 2\/5? (a) 3\/2 (b) g (c) -2 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2)*(-1036)\/370.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 311633235?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -15*t + 168. Let r = t + -20. Solve 9 = -4*d + r, o + 11 = -3*d for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -7*x + 3. Let h be f(-9). Let j be 3\/((-3)\/2) + h. Suppose 5*y = 46 + j. What is the remainder when y is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110100000 (base 2) to base 12.\nAnswer: -2a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i + 3*i - 2*i + (4 - 7 + 4)*(-3*i + i + 4*i) + 1 + i + 7 - 2*i + (3*i - 4*i - i)*(4 + 16 - 1).\nAnswer: -32*i + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/22 and 21\/3124.\nAnswer: 3124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1161, -2321, -3481, -4641, -5801?\n\"Answer: -1160*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -0.056 (b) 4\/11 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -9. Let i = -1 - -4. Suppose 0 = -i*s - x*p - p - 3, -2*p - 6 = -4*s. Solve -t + 0*t + 3 = s for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*j + q - 36, 48 = 5*j + 2*q. Calculate the remainder when 29 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 5:27 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -2021?\nAnswer: 2012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 + o - 1. Let v be m(-2). Suppose -v*x = -5 - 5. Suppose -x*s = -17 - 11. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2 + 35*k - 46. Is 13 a factor of v(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 25378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 3*z - 51. Let x be o(-6). Solve -c + 6 = 2*c, 0 = x*v - c - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5585\/21 - -788\/3. Which is greater: -4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 19*j + 12525. Let y(o) = -3*o**2 + 2. Determine b(y(u)).\nAnswer: -57*u**2 + 12563","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 365 and 54952137?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tjpnnts. What is prob of picking 1 n and 1 t?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22*m - 223?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 45233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 - -3)\/(4\/(-38)). Solve 4*d + 2*s = 3*d + 12, -5*s + z = -3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2364 * 214\nAnswer: -505896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (3 + -1 + -9 + 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/13 + 22\/39. Let w = 1.5 - -1.5. Let v = -367\/5 + 73. Which is the nearest to t? (a) v (b) w (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -110011?\nAnswer: 110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*b + 71*b + 20*b.\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -0*v - 5*v - 110, -2*v = -3*p - 94. Let c = 57 + p. Suppose 6*g - 3*g - c = 0. Is g a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-606*a + a**2 + 8*a**2 + 608*a)*(a - 3*a + 4*a).\nAnswer: 18*a**3 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 5*z + 3, -3*s + 6*z - 10*z - 48 = 0. What is the lowest common multiple of (-722)\/s + (-1)\/6 and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3053 - 1325. What is the greatest common factor of s and 512?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -25, -2.3, 4, -3, -2\/9, 2 in descending order.\nAnswer: 4, 2, -2\/9, -2.3, -3, -6, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1097 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 0*f = 4*f + 24, 2*i + 2*f = 16. Suppose w - 5*w = -i. Suppose -3*l**w - 6*l - 3\/2 + 6*l**3 + 9\/2*l**4 = 0. Calculate l.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90828 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 2.524?\nAnswer: -10.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7*(-4 - (-44)\/14)*203. Let g be 7\/(z\/(-180)) + -1. Put g, -0.2, -4, 0.2 in decreasing order.\nAnswer: 0.2, g, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8700)\/18270)\/((25\/(-18))\/5)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 116406\/1338*(-3)\/((-63)\/(-7))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (141\/(-330))\/(282\/(-141)) and -151\/660.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 57*c**4*n**2 + 13892*c**4 - 339*c*n**2 + c + 2044*n**2 wrt c.\nAnswer: 684*c**2*n**2 + 166704*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*f - 29*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-21)\/15 - (-4)\/10. Put 3, -66, o in ascending order.\nAnswer: -66, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.22 + 0.28. Sort 126\/5, i, 2\/11 in increasing order.\nAnswer: 2\/11, i, 126\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -46.2534346 to 1 dp.\nAnswer: -46.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.033, 0.01, 1\/2, 8 in decreasing order.\nAnswer: 8, 1\/2, 0.033, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43560 is divided by 3959?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*15.17.\nAnswer: 15.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1449 + 7754 = -5*n. Is -2 - (2 - 4) - n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 10:11 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184853 is divided by 190?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -y**4\/26 - 14*y**3\/39 + 103. Let p(g) = 0. What is g?\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (13\/(2 - -11))\/((-1)\/(-1181))?\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90224, 89664, 89102, 88532, 87948, 87344, 86714?\nAnswer: 86052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1941632 is divided by 41?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44992 and 8968?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (18\/(-16))\/(-3) - 77170\/(-80).\nAnswer: 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.66 - -13.967. Let z = 27 + -40.4. Let m = z + u. What is m rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zgig when four letters picked without replacement from gaaddgdzgidggzdidah.\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 3*h - 315, -r + 0*h - 5*h = -135. Suppose 2*j + r = 2*b, 0*b + 5*j + 71 = b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-13))**(-44)*(u**(-5\/6))**32)**40 assuming u is positive.\nAnswer: u**(60160\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 863 + -859. Solve -3*o - 1 = 3*b - 2*o, c*b - 2*o = 12 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fsslmszsszslzszm. What is prob of sequence zssz?\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 43, 128, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4962 + -4960. Solve a*y = 5*u - 22, 0 = y - 14*u + 12*u + 9 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*o + 9 + 3 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 - -42. Solve r = 3*d + 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2691 = 12*r + 3*p, -5*r + 9*p + 1125 = 14*p. What is the highest common divisor of r and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 842601780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k = -73 + 265. Suppose -2*s + k = 20. Is ((-20530)\/(-35))\/s - (-4)\/(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**2. Let l = -2\/11 - -15\/22. Let j(b) be the second derivative of 0*b**2 + 2*b - l*b**3 + 0. Determine j(p(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from ceewecweceec.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tfff when four letters picked without replacement from ftffftttfff.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - (sqrt(19) + (sqrt(228) - (sqrt(228)*-2 + sqrt(228) + sqrt(228)))\/sqrt(12)))*-6)**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 617581 greater than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, u: 3}. Give prob of picking 2 u.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -29, -87, -199, -383, -657, -1039, -1547?\nAnswer: -2199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 27\/6103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 3*c - 1. Let p(g) = -2*g - 3. Let n be p(-3). Calculate j(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -199, -3, -19 in ascending order.\nAnswer: -199, -19, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -1, -5, 63, 1532 in decreasing order.\nAnswer: 1532, 63, -1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5144876?\nAnswer: 2, 11, 116929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3113*n - 15565. What is d(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r = -2*r - 2241. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -4*q - 63*k + 59*k, -2*q + 4*k = -10 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 3*m**2 - 2*m - 1. Calculate the remainder when x(2) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bpbcbbbbbbbbbb. What is prob of sequence bpb?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3580?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8028, 26103, 54218, 92373, 140568, 198803, 267078?\n\"Answer: 5020*r**2 + 3015*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.8 - -0.2. Let l = -0.1 + 0.25. Let v = l - 0.05. Is v at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35802250 and 2350?\nAnswer: 2350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of 917*h**6\/6 - h**4\/4 - 59*h**2 - 8*h - 3809. Find the second derivative of b(a) wrt a.\nAnswer: 18340*a**3 - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, f: 1, k: 2, i: 4, w: 3, c: 3}. What is prob of sequence wefw?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a\/(((a*a**9)\/a)\/a*a))*a**(4\/19)*a\/(a*(a\/(a\/(a*a**(4\/13))))\/a)*a\/(a*a**(-2\/3)*a*a) assuming a is positive.\nAnswer: a**(5609\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 28825833913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 641.1615 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/(-9) - ((-271)\/117 - 1) and 18\/143.\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57964 is divided by 192?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eqqyqyyyqqqjyyeyyye. Give prob of sequence yjq.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**3 - 23*d**2 - 1186*d + 6412. Calculate f(-22).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1083*i + 2165*i - 965*i - 818*i + 28 - 28.\nAnswer: -701*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1325, 1920, 2935, 4388, 6297, 8680?\nAnswer: 11555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 431*g + 16 = 4*o + 428*g, 2*o - 6*o = g for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bfbf when four letters picked without replacement from bfbbfff?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -70 + 71. Sort -2, 0, z, -3 in ascending order.\nAnswer: -3, -2, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -31 + 4 - 23*i + 12*i - i**2 + 8*i + 17*i. What is the lowest common multiple of x(4) and 7?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -141 - 12321?\nAnswer: -13012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5269490073.\nAnswer: 3, 53, 401, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*g = -1. Let c(z) be the first derivative of -z**2 + 1\/3*z**3 - g - 7*z. What is c(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.7 in 706, 4, -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from faqfnqf. What is prob of picking 4 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -11 - 14*g - 7*g**2 + 10 - 8*g**3 + 12. Let w(q) = 3*q**3 + 2*q**2 + 5*q - 4. Let x(l) = 4*n(l) + 11*w(l). What is x(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + 3*o + 3*o)*(o + 2*o - o) + (-2*o + 1 - 1)*(3 - 3 + 3*o).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3293 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 47 and -0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(72)*-3*-6 + sqrt(72) - (sqrt(72) + 1 + -2) - (3 + -6*(sqrt(72) + 5*sqrt(72))))**2.\nAnswer: -1296*sqrt(2) + 209956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3732370 and 56726?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from vvvssvs?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**2 - 6*m + 5. Let c be w(0). Suppose 5*h - 2*q = 17, 5*h - 19 = c*q - q. Solve -u + 8 = -2*r, -h*u + 3*r - r = -16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3290*g + 16774*g**2 - 1720*g - 1570*g)*(-g - 3*g + g) in the form p*g + t + u*g**2 + j*g**3 and give j.\nAnswer: -50322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 6*w**2. Let v(a) = 3*a**2 + 2*a**2 - 5*a**2 - a**2. Calculate s(v(x)).\nAnswer: 6*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-4))\/(3\/18). Suppose 2*z = 3*z - 48. Let i = -34 + z. Solve -w*b = i - 5 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a - -69cc7?\nAnswer: 69cbc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.22 + 0.62. Let q be (-4)\/10 - 14\/40. Which is the closest to -2\/3? (a) s (b) q (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -10. Let o be ((-1 - 0) + y)\/(-2). Calculate the highest common factor of o and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36230.\nAnswer: 2, 5, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - g + 4. Let r be t(-5). Suppose -5*y - r + 244 = 0. Suppose 10 = -8*u + y. Solve -p - 2*p - 2*x = 11, 0 = -u*x - 4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.76 + 0.042.\nAnswer: 7.802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2 = -2*b + 16, 5*k + b = 13. Let p(n) = 3*n**k - n**2 - 4 + 2 + 5 - 3*n. List the prime factors of p(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/6 - 72\/(-80). Which is the closest to k? (a) 2\/13 (b) -2\/9 (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - 6*o + 4. Suppose -4 = 2*q - 5*u, 5*u - 10*u + 16 = 2*q. Determine k(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/((q*q*q\/q**(-2\/3)*q)\/q))\/q)\/q)\/(((q**(-4)\/q)\/q)\/q)*(q\/(q\/(q**(2\/3)\/q)))\/((q\/q**(-2\/13)*q)\/q) assuming q is positive.\nAnswer: q**(11\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 36\/11 in -603, 4, -1\/8, 3, 0.145?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1073, 2148, 3223, 4298?\nAnswer: 5373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1091, -2184, -3277, -4370, -5463, -6556?\n\"Answer: -1093*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236*h**3 + 1250*h**3 + 113*h**3.\nAnswer: 1127*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 25250 (base 6) to base 10\nAnswer: 3774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-405)\/6 + -2)*(-107 - -1). What is u rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (2 - 24\/9)\/((-2)\/21246*2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {l: 9, s: 2, u: 3, a: 3}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 + 0*a**2 + 2*a**2)*(2 - 29*a**2 + 6*a**2 + 7*a**2).\nAnswer: -16*a**4 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 6:53 PM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 424\/5 or 86?\nAnswer: 424\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 times 39.09\nAnswer: 4.6908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -567 + 567.3. What is the nearest to 2\/5 in u, -3, -2\/3, -1\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8806745?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/2705 and 101\/1498?\nAnswer: 4052090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**4\/5 - 8412*q**3\/5 - 1052028*q**2 - 88486020*q + 68766278400 = 0.\nAnswer: -765, 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 89 + -97. Put 2, -1, b in ascending order.\nAnswer: b, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l + 8*l**3 + 0*l**3 + 2*l**2 - 44 + 5*l.\nAnswer: 8*l**3 + 2*l**2 - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20590945033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2513655?\nAnswer: 3, 5, 83, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-8))\/(2\/(-16)). Suppose 0 = 3*p - 5*p + z. Solve -5*k + p*k = -3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (147*u**2 - 53*u**2 + 63*u**2)*(6*u + 7 - 7)*(0*u + 3*u - 17*u).\nAnswer: -13188*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 135\/43?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -25 + 9 - -17 - (0 - 10). Put 28, 5, 2, d, -5 in descending order.\nAnswer: 28, d, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54 (base 9) to base 3\nAnswer: -1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 8:01 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 4:54 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1908461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 4*u + 745, -z - 4*u - 165 = -2*z. Calculate the remainder when z is divided by 50.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/17? (a) -3 (b) 0.4 (c) 2 (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22937, 22951, 22975, 23009, 23053, 23107?\nAnswer: 23171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -68 or -380902?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 20, t - 2*t - 4*v = -29. Does 2 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -86 + 161. Calculate the greatest common divisor of 75 and z.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/5 - 0. Which is the smallest value? (a) -0.3 (b) t (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -146*u + 3*u**3 + 9*u**4 - 4*u**4 + 0*u**2 + 147*u + 4*u**2 - u**2 to i + s*u + j*u**2 + n*u**4 + c*u**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) 3\/4 (c) 3 (d) 2 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -r - r + 2 - 1 + 15 - 3*r - 15 + (0 + 2*r + 0)*(0 - 13 - 23) as y + d*r and give d.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 8493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 4.2. Let j = x - -3. Let g = -19.01 - -19. Sort g, 4, j.\nAnswer: j, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + (sqrt(15)\/sqrt(3))**2) - (-1 + sqrt(20)\/sqrt(4) - sqrt(60)\/(sqrt(36)\/sqrt(3))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 35601, 35604, 35607, 35610?\n\"Answer: 3*s + 35598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 2 = -2*m, 0 = -8*t + 10*t - 5*m + 7 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6 * -60\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -46 + 51. Suppose -4*v + 3*u - 66 + 447 = 0, 456 = f*v + 3*u. List the prime factors of (-1 - (0 - -3)) + v.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-10\/9)\/o)\/o**(-2\/9) assuming o is positive.\nAnswer: o**(-17\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 84, -2\/5 in descending order.\nAnswer: 84, 24, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -60 + -210?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-3)*(9 + 3)*498\/(-996). Let r(o) = o**3 - 3*o**2 - 5*o - 3. Let y(b) = b**2 + 1 + 4*b + b**2 + 1. Give x*r(w) - 3*y(w).\nAnswer: -2*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56217 + 56213. Let r be 26\/(-6)*-1*-3. Put -3, a, r in decreasing order.\nAnswer: -3, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 20 = -2*u - 2, -13 = -2*u - p. Put -5, 8, u in decreasing order.\nAnswer: 8, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1378153, 1377582, 1377011, 1376440, 1375869, 1375298?\n\"Answer: -571*f + 1378724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -317*d - 2568 - 3138 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1776 is divided by 72?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-107 + 206 + 8)*(-p - 2*p + p).\nAnswer: -214*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.13 and -0.13.\nAnswer: -0.0169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (26\/6)\/(9\/54) and 22.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 68 + -122. Suppose -2*a - 3*a + 467 = 3*l, 3*a + 435 = 3*l. Let h = l - u. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a - 3. Let o be r(-6). Let l = 30 - 25. Suppose -90 - o = -l*j. What are the prime factors of j?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**2 - 1. Suppose -2*v + 0 + 12 = 0. Suppose 0 = -0*a + 4*a - 3*w - 34, -32 = -4*a + 2*w. Let x = v - a. Calculate i(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -65919 - -65910.99984. Let k = g - -8. What is k rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1, 0, 1, 2, 3, 4?\n\"Answer: g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 6*h**3 + 22*h**2 + 2*h + 7. Let o(t) = 8*t**3 + 21*t**2 + 3*t + 6. Determine -3*b(s) + 2*o(s).\nAnswer: -2*s**3 - 24*s**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.096, 30, -5, -4, 0.08, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -2.7, 4, -4, 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j. Suppose -2*f + 1 = -5. Let p(o) = -f - o**2 + 3 + 5*o**2. Calculate p(y(u)).\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 181*b - 3 - 27)*(2 - 2 - 1)*(0*b**2 - 2*b**2 + 4*b**2).\nAnswer: 362*b**3 + 14*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -180, -196, -216, -240, -268, -300, -336?\n\"Answer: -2*r**2 - 10*r - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -272048 minus 3.38?\nAnswer: -272051.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 6300180\/61 and 103281 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 460.2 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 664 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -s + 2*i - 18, -5*s + 10 = -5*i. Find the first derivative of s - 86*g + 9*g**3 + 86*g + 4*g**3 wrt g.\nAnswer: 39*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-4)*(w**(1\/7)*w)\/w*w**(-2\/3)\/w**(-7))\/((w**(2\/5))**(-40))**(-11) assuming w is positive.\nAnswer: w**(-3623\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 5 - 10. Let x be 58828\/(-10) + 2 - a\/25. Let b = 111711\/19 + x. Find the common denominator of b and 95\/8.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28*((3848\/32)\/13 + -8 + -2).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257*p**3 - 127*p**3 - 131*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9567880 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, s: 7, b: 3, f: 3}. What is prob of picking 2 l?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2635624 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 37*q + 97. Let v be c(32). Let f be 9\/v + 316\/(-56)*-8. Is 45 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 8 = u + c, -2*c = -5*u + 6. Suppose -4*d = -d. Suppose 3*k - 15 = -d. Solve 4*o + k*j = 7, 4*o + u*j + 8 = 18 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 338 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 62\/4 + 5\/(-10). Suppose -y + j = 2*y. Solve 5*h + 12 + 28 = y*q, 5*h = 2*q - 25 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.83 + -1.17. Which is the third smallest value? (a) f (b) -0.4 (c) -2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 31*v**2 + 46*v + 652. Give a(-32).\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12107791 and 232184698?\nAnswer: 3947139866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -134722, -269365, -403886, -538225, -672322, -806117, -939550?\nAnswer: -1072561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 8*f - 2. Let p be m(2). Let l = 5 + 45. Suppose l = p*w - 100. What is the remainder when w is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (0 - (-13 - -12)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*u + 5*u + 2*u**2 + 9*u.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**2 + 124*d**2 + 179*d**2 + (3*d - 6 + 2 + 2)*(-d - d - 2*d) as q*d + t*d**2 + r and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 1503*k - 6016. Calculate w(-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i, 3*i - i - 10 = -2*o. Solve 6*w = w - o for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(17)*3 + (sqrt(1666)\/sqrt(2))**2 + (sqrt(17) - 2*-3*sqrt(17) - (sqrt(17) + -2)*-3).\nAnswer: 7*sqrt(17) + 827","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 42.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4125 and 56625?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z - 4*z + 5*z)*(-70*z**2 + 29*z**2 - 24*z**2) + (z**2 + 3*z - 3*z)*(-1 + 1 - 4*z).\nAnswer: 256*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -896*n = -575*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -79 + 44. Let z = y - -18. Let n = -11 - z. Calculate the greatest common divisor of 9 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -8, -97, -1.\nAnswer: -97, -8, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 2841792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q - 172. Let k(v) = -3*v**2. What is g(k(h))?\nAnswer: 3*h**2 - 172","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five quarters of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n - 11. Let o be c(8). Suppose r - o*r - 16 = -3*u, 0 = -2*r + 3*u - 14. Let s = 29 + r. Is 14 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -371, -364, -343, -302, -235, -136, 1, 182?\n\"Answer: u**3 + u**2 - 3*u - 370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 340 and 19975?\nAnswer: 79900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of 1\/6*a**3 - 3*a + 0 + 13\/2*a**2. Is 4 a factor of b(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18 + 830?\nAnswer: 848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x. Let c(o) = 6*o**2 - 67474 + 12*o**2 + 67399 - 13*o**2. What is u(c(i))?\nAnswer: 15*i**2 - 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.9 plus 0.02?\nAnswer: 51.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 - -0.1. Let g = 2269.3 + -2269.3. Which is the nearest to 0.3? (a) m (b) -1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*-1 - 15\/(-30)*-6. What is the common denominator of -53\/231 and ((-5)\/((-660)\/(-8)))\/(f\/26)?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 5*i + 0*i**2 - 5*i**2 + 6*i**2 - 3. Calculate d(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(5*(sqrt(6)\/sqrt(2) + sqrt(3))) + -5 - (-5*((sqrt(245) - (-1 + sqrt(245))) + sqrt(245))**2 + (sqrt(245)*1*-2 - sqrt(245))**2).\nAnswer: -980 + 701*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 96372 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3 - 17790*z**2 + 15770700*z + 95265720.\nAnswer: 5*(z - 1782)**2*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 7*v - 2170. Let h = v + -130. Calculate the greatest common factor of h and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 978.9905 years?\nAnswer: 9.789905","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 + -10 - (-26)\/(-65)*10. Let l(u) be the second derivative of -u - 6*u**2 - 1\/2*u**3 + 0. Determine l(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -975*g + 969*g - 990 = 0. Let b be -2 + (-22)\/g*-9*34. Is b bigger than -43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -9*d + 7. Let m(v) = -14*v + 10. Let g(p) = -8*i(p) + 5*m(p). Let h be g(4). Solve 0 = j - 1 - h for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 2*f**2 - 2*f - 2. Let v be k(3). Suppose -l + 4 = 2*n, -n + l = v - 0. What is the units digit of ((-3)\/(-3))\/(1\/n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/2 - (-68)\/(-104). Let w be (-10)\/(-14) + 2\/7. Which is the smallest value? (a) w (b) -0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 555364387 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 2*l + 8 + (2*l + 14 - 14)*(-2 + 1 + 3) as y + k*l and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {h: 7, b: 2, f: 1, l: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 25 = -2*f. Let q be (-1 - 1) + (-71 - -1)\/f. Calculate the greatest common divisor of 96 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8037)\/684 + (-6)\/(-4)*(-2)\/12.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1011005 + 301?\nAnswer: 1011310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + (0 - (-2 - (1 - 0))). Let g(b) = 8*b - 16. Is g(l) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1306816*v**3 - 73484*v**2 wrt v?\nAnswer: 7840896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 13. Suppose c - 12 = -v*c. Let b(i) = 0*i**3 + 2*i**c - 2*i - 7 - 3*i - 2*i. Let n(d) = -2*d**3 + 6*d + 6. Determine 6*b(p) + 7*n(p).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -3 and -453856 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 121507 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 811.0471 tonnes to nanograms.\nAnswer: 811047100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 34 = 4. Calculate the highest common divisor of 70 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30613681\/88 - 347879. Which is smaller: 5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - o + 48 = 0. Solve -4*x - 16 = r + 4, 3*x - r + o = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 8.1. What is the biggest value in -7, z, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m - 24. Let p be u(-8). Suppose p = -0*h - 3*h + 3*a + 99, -3*h + 5*a + 105 = 0. Calculate the remainder when h is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 209*u**3 + 48808*u**2 + 5*u - 116474846?\nAnswer: 627*u**2 + 97616*u + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -115 divided by -2\nAnswer: 115\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9173011*y + 1235648.\nAnswer: -9173011","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -6. Let p = -1.5 - -1.6. Let o = -3.7 + 0.7. Which is the nearest to p? (a) r (b) o (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 123*v + 2752. Give d(-93).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 3\/7 (b) 0.076 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/38044?\nAnswer: 1\/38044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1037.\nAnswer: 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.4779916 rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 106 + -112. Suppose -5 = -q - 3. Put q, s, 0 in decreasing order.\nAnswer: q, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 15052.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(-1\/5)))\/m**(-2\/3))**(-7) assuming m is positive.\nAnswer: m**(-91\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 18*d - 136. What is f(9)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + -7.466?\nAnswer: -7.366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (5\/20)\/(7\/(-88)) and (-16)\/104 + (-2122)\/572?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3184080590 to the nearest integer?\nAnswer: 56428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 664.726 years in decades?\nAnswer: 66.4726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -6*k**2 + 21. Suppose 16*l = 2*l + 1386. Let m = l - 78. Let a(s) = s**2 - 4. Let t(i) = m*a(i) + 4*g(i). Let o(z) = 21*z. Determine o(t(w)).\nAnswer: -63*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1727 * -1516\nAnswer: -2618132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -11*i - 5. Let u(c) = 40*c + 14. Let l(a) = 118*a + 42. Let m(x) = -4*l(x) + 11*u(x). Give -5*m(y) + 14*s(y).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 5:21 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -8017 (base 14) to base 4\nAnswer: -11113111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5061 minus 5486.4625?\nAnswer: -425.4625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 20098, 19114, 16448, 11260, 2710, -10042, -27836?\n\"Answer: -140*h**3 - h**2 - h + 20240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 4:25 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 33 = 5*v + 3*t, 50 = -4*v - 2*t. Which is bigger: v or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -5*g + 99, -x = 4*g - 39 - 40. Calculate the highest common factor of g and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((-2*sqrt(13)*-4)**2 - (0 + sqrt(1573))) + -4 + -6*((sqrt(13) + (sqrt(13) - (sqrt(13) - sqrt(65)\/sqrt(5))) + 2)*1)**2).\nAnswer: -2460 + 295*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9598 is divided by 1796.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -514*x + 35*x**3 - 36*x**3 + 514*x.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - -10 - (-222)\/(-132)*-10 - 12.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 o when two letters picked without replacement from {o: 6, y: 2, j: 1, r: 2, x: 1, c: 7}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -197502196589\/28784323224 - -2\/9750787. Let z = -5\/369 + a. What is the common denominator of z and 99\/76?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 25 = 2*y - 3*u, 5*u = -5*y + 5. Calculate the greatest common divisor of 20 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 99 - 96. Suppose 13*c + w = 14*c. Let f(k) = 24*k**2 - 7*k + 9. List the prime factors of f(c).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -151 + 161. Calculate the smallest common multiple of 208 and w.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -2, 0, 7 in decreasing order.\nAnswer: 7, 5, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 77025 and 24586380?\nAnswer: 122931900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 16 = -18*b, 3*d - 88 = 133*b - 134*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 8*o - 1761. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -104280 and -410.56?\nAnswer: 103869.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 407.1128 litres in millilitres?\nAnswer: 407112.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 18. Suppose 4 = -346*r + 348*r. Solve 4*l - 5 = -l + 5*x, n*l + 2 = -r*x for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14\/13 in 0, 21, 1, -0.2, -45\/16?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kdmkmmkdkddkkk. Give prob of picking 1 k, 1 d, and 1 m.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aafhhlhphccp. Give prob of sequence lfa.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 8722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 415 and 4814.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -310*h. Let g(l) = -30*l - 1. Give k(g(m)).\nAnswer: 9300*m + 310","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*h - 4*l, -h + 2*h - 5*l + 25 = 0. Suppose -k + 2*k + 9 = h. Let r = 14 + k. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1812)\/4077)\/(-2*(-2)\/(-108))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -5*q - 62, -2*q - 3*q = 5*l + 170. Let d be 104\/(-18) + 8\/l. What are the prime factors of 14\/6 - 4\/d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 566? (a) -5 (b) -2\/7 (c) -19\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (124485\/(-50))\/(-3*1 - 0). Let z = 841 - j. Find the common denominator of -25\/36 and z.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-56) + (-38)\/126. Which is the nearest to -0.02? (a) u (b) -2 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a kilogram in grams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 668090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -273275571, -273275575, -273275579, -273275583?\nAnswer: -273275587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 3:35 AM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0377 plus -9.02043486?\nAnswer: -9.05813486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 62 and 124?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 4 + 14. Let w be ((-3)\/(-5))\/(u\/10). Suppose w*g = -x + 104, 3*g + 3*x + x - 92 = 0. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -59\/6, -0.5, -121, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 6. Suppose -3*s = 3*i - 72, -3*i - 3*s - a*s + 80 = 0. What is the remainder when i is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 231421176 + 3739.\nAnswer: 231424915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 19*o - 72. Let c(r) = -r + 12. Determine 5*c(s) + x(s).\nAnswer: 14*s - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 2*o + 6, u - 3*u + 2*o - 4 = 0. Let v be (-27)\/(-6) - u\/(-2). Suppose 0 = -v*m + 3*w + 139, 61 = 2*m - w - 8. Is 14 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-8)*(-64)\/(-60). Factor -2\/5*l + 0 + 2\/5*l**5 - c*l**4 + 0*l**3 + 4\/5*l**2.\nAnswer: 2*l*(l - 1)**3*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 14) to base 4\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/69? (a) 19 (b) 4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -7. Let x(t) = t**2 + 5*t + 4. Let o be x(p). Calculate the remainder when 24 is divided by 10 - (o - 0 - -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/5335 and -89\/759510.\nAnswer: 8354610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 15, 0*g - 4*g + 18 = u. Let o be (-12)\/8 + u\/(-4). Let k = -3 + 5. Sort o, k, -2 in decreasing order.\nAnswer: k, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89.18 rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 12*s**2 - s + 3. Let k = 4 - 16. Let p be a(k). Let d = -161 - -266. What is the highest common divisor of p and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2140471193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -9. Let o(u) be the second derivative of -u**5\/20 - u**4\/2 + u**3\/6 - u**2 + 3940*u. What is o(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1105458, 2211194, 3316930, 4422666, 5528402, 6634138?\n\"Answer: 1105736*k - 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4221 divided by -7.\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1447967022.\nAnswer: 2, 3, 241327837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 2, k: 1, u: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 7:18 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 11 - 10. Let a = x + 34. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 495080500 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in -2\/17, -2\/5, -164, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 495 + 1691 - 66 = 106*l for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10361*a**3 + 10361*a**3 + 10366*a**3 - 41466*a**3 + 10366*a**3.\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 2 - (96 + -125).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/3*-3 + 5. Let v be (10\/(-6))\/(h\/(-9)). Let -2\/7*p + 4\/7*p**4 + 8\/7*p**3 - 4\/7*p**2 + 0 - 6\/7*p**v = 0. What is p?\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 7 = -25. Suppose n + g = 4. Let o(h) = -2*h + 3 + 5*h**3 + 4*h - 5*h. Let x(a) = -6*a**3 + 4*a - 4. Determine n*o(p) - 3*x(p).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4512 divided by -4.\nAnswer: -1128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.154, -2, -7, 2800 in descending order.\nAnswer: 2800, 0.154, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7801387943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*x = -3*j + 6, 3*j = -3*x + 24. Let l = -27 - -1. Let v = -16 - l. What is the remainder when v is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 8481545.\nAnswer: 1\/1696309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v**3 + 4*v**3 + 3 - 1 + 9*v**3 + v**3 to a + k*v**3 + g*v + h*v**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*t**2 - 5*t**2 + 3*t**3 - t**3 - 4*t**3 to v*t + r*t**3 + d + s*t**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264 = -6*m - 5*m. Let v = -164\/7 - m. Suppose -7*r + 2*r = 0. Which is smaller: r or v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a meter in centimeters?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3959 * 1.2\nAnswer: 4750.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 511? (a) 5 (b) -1\/3 (c) -5 (d) -0.67 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4362, 16897, 37582, 66417?\nAnswer: 103402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -203 - 100?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l. Let j(d) = 2*d - 3. Let k be -11 + 0 - (-27)\/((-270)\/(-80)). Determine k*g(v) - j(v).\nAnswer: v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 10 + -48 + 44.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 5*m + 7. Determine n(-16).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away -256442?\nAnswer: 256443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4 = -q, -22 = -3*s - 2*q - 5. Suppose x - 9 = -2*v - 0*x, -3*x - 23 = -4*v. Suppose -s*y + 10*y - 157 = z, -175 = -5*y - v*z. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.032066 to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 times 0.021?\nAnswer: -0.441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a + -927?\nAnswer: -932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-26067)\/(4\/(8\/(-3))). Let u = n + -2154853\/124. Let r = u - -3\/31. Which is smaller: 2\/5 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**4\/13 - 5938*z**3\/13 - 147616*z**2\/13 - 1225856*z\/13 - 3391488\/13 = 0.\nAnswer: -2944, -9, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 5*a - 5. Let t(g) = -g + 4. Let z(u) = 3*r(u) + 4*t(u). Let m(q) = 6*q + 1. Determine -5*m(o) + 3*z(o).\nAnswer: 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((1 + -1 + sqrt(153))**2 + 2) - 4*(sqrt(187) + sqrt(187)*2*-4 + sqrt(187))\/(sqrt(891)*1 + sqrt(891) + sqrt(891) + sqrt(891)).\nAnswer: 2*sqrt(17)\/3 + 310","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 282*u**3 + 5 + 54*u - 12 - 55*u + 7 + u**2 in the form b*u**3 + o*u + v + h*u**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.43 + 0.73. Let g = p + 0.7. Let v = 1.5 + -2. Which is the second biggest value? (a) 4 (b) g (c) -2\/17 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1971.7 + 1970.7. Which is smaller: -7963 or d?\nAnswer: -7963","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46674*j**3*s**3 - 14*j**3*s + 853*j*s**3 - 3*j*s**2 + j*s + 41 wrt j.\nAnswer: 280044*j*s**3 - 84*j*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -331649\/14 - -23697. Find the common denominator of (-2)\/(-3) + 242\/168 and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 244, 482, 712, 934, 1148, 1354, 1552?\n\"Answer: -4*m**2 + 250*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of a**3\/6 + 1697*a**2\/2 + 1014*a. Let u(q) = -q. Calculate z(u(k)).\nAnswer: -k + 1697","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**3\/7 + 200*o**2 + 1388*o\/7 - 2792\/7 = 0 for o.\nAnswer: -349, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24560 + -24564. Let p(g) = g - 3. Let d be p(8). Sort m, 2, d, 187.\nAnswer: m, 2, d, 187","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o**2 - 7*o + 5. Let s(l) = -5*l**2 + 6*l - 6. Let f(u) = -4*n(u) - 3*s(u). Determine f(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -5, -1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.01 + -0.01. What is the smallest value in 2\/19, -1\/6, y?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 776824?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*t - 65 - 85. Suppose -32 = 14*s - 12*s. Are s and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-2))\/(3 - (840\/(-32) + -9))?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(1331)*1 + sqrt(1331) - sqrt(1331)) + -2*sqrt(396)*6)**2.\nAnswer: 16731","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2281, -18316, -61869, -146698, -286561, -495216?\n\"Answer: -2293*l**3 - l**2 + 19*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*(4\/(-6) + 0). Let x(k) = 2*k**2 + 0*k**n + k**2 - 1. Calculate x(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 6 - (4 + (-29 - -14)) - -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 11, -237, -4, 2 in descending order.\nAnswer: 11, 4, 2, -4, -237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 65 + -7 + 8 + -3 + -1. Let k be r*(-5)\/10 + 6. Do k and -25 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29804.\nAnswer: 2, 7451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3536 = 13*a + 936. Let p be (a\/4)\/(-2) - (-4 + 2). Let q(y) = 8*y**2 + 53*y - 14. Is q(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v**3 + 4*v**2. Let t(n) = -49*n**3 - 63*n**2. Give -4*t(h) - 63*y(h).\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80888 is divided by 245?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13\/30 - -3\/5. Let p(y) be the third derivative of -y**4\/24 + y**3\/6 + 5*y**2. Let z be p(5). Which is the nearest to 1\/6? (a) 0.3 (b) z (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4568 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.042? (a) 0.4 (b) -4 (c) -2 (d) -1 (e) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 112129 + 34?\nAnswer: 112163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 - 3\/(-15) - 824\/600 and -52\/15.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(-1 - (0 + 1)). Let m be (y + 1)\/(7\/(-14)). Is 5 a factor of (-2 + m)\/((-6)\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 271518 and 39?\nAnswer: 271518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 4*p - 2. What is h(-8)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 609 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - p**2 - 2. Let u(m) = m**3 + 3*m**2 - 168*m + 8. What is -4*h(v) - u(v)?\nAnswer: 3*v**3 + v**2 + 168*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - (6\/(-1) - 2))*1. Let s(v) = 3*v - 4. Let w(l) = -l + 2. Determine h*w(u) + 3*s(u).\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 r when four letters picked without replacement from zkrrrkrrrzr.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 3366 = 454. Is y a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 3\/17 (c) -29.4 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8961370 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -3*g**4 + 11901*g**3 + 23814*g**2 = 0.\nAnswer: -2, 0, 3969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*n - 2*o, 4*n + 0*o = -4*o + 12. Solve n*l - 4*l = -1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -89*m. Let b(n) = 5*n**2. Determine b(v(c)).\nAnswer: 39605*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 86205 and 210?\nAnswer: 172410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of 17*y**4\/24 + 683*y**2. Let n(o) = 55*o. Calculate n(r(t)).\nAnswer: 935*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2206 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14926 - -14986.501. What is l rounded to 1 decimal place?\nAnswer: 60.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 109593?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 - 34*a - 213. Let y be u(-27). Let x(v) = -v**3 - 23*v**2 - 3*v - 70. What are the prime factors of x(y)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 345, 324, 279, 204, 93, -60, -261?\n\"Answer: -t**3 - 6*t**2 + 4*t + 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}