diff --git "a/data/dm_maths/full_data/234_11255.jsonl" "b/data/dm_maths/full_data/234_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/234_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Simplify ((4*(sqrt(385) + sqrt(385)*1) - sqrt(385))\/sqrt(11))\/(sqrt(45)\/((sqrt(108) + sqrt(108) + sqrt(108) + sqrt(108)*-1 + sqrt(108))\/sqrt(12))).\nAnswer: 21*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25.8 - -23. Let f = -3.2 - k. Sort f, -2, 0.2 in decreasing order.\nAnswer: 0.2, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1502 (base 10) to base 12.\nAnswer: -a52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.4 - -10. Let o = 11 - 10.2. Let r = 3.8 - o. Put q, 0.2, r in ascending order.\nAnswer: q, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -3 + (40 + -37 - -10) + 14?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1510688684 less than 108.39?\nAnswer: 108.2389311316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -66*t**2 - 2625*t - 45111. Let j = -218 - -191. Let q(m) = 5*m**2 + 202*m + 3470. Let d(v) = j*q(v) - 2*b(v). Factor d(u).\nAnswer: -3*(u + 34)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a week in minutes?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -224*m**6 + 180*m**2 - m?\nAnswer: -26880*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -177223 + -5?\nAnswer: -177230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -125 + -33454324?\nAnswer: -33454452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30790 - 665*n - 30790)*(0 + 1 + 1)*(0 + 1 - 3).\nAnswer: 2660*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*h + 16*h - 64 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 204\/2*2\/(1 - -3). Calculate the highest common factor of 34 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14809.81 + -14810. Sort 4\/7, k, 0.3, 0.5 in decreasing order.\nAnswer: 4\/7, 0.5, 0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19189 divided by -31?\nAnswer: -619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 438280690 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: Calculate the highest common factor of 229 and 292.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 812359?\nAnswer: 812359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -530, -2118, -4764, -8468, -13230, -19050, -25928?\n\"Answer: -529*k**2 - k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 21*c - 3. Calculate d(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -8*x**3 - 2*x**2 + 2*x - 3. Let a be i(-4). Suppose 0 = 3*n + n - 16. Suppose n*l = -3*g + a, -l + 4*l = 2*g + 339. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -255.920197 rounded to the nearest 10?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5289368 is divided by 13703?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 22922 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 39*l + 225. Let h be c(-6). Is h less than 46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 236 = 92. Is ((-12)\/w)\/(2\/20058) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67117.5 - 67118. Let j = 22\/3 + -101\/15. What is the closest to 1 in 1\/7, k, j, 0.07?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10755 is divided by 163?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 + 252858*v - 1769859.\nAnswer: -3*(v - 84279)*(v - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 5 + 4*((-1 + sqrt(704))*-6 + 4) + -2 + 1)**2.\nAnswer: -18432*sqrt(11) + 407808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 321?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*o + 23. Let d = -89 - -91. Put o, d, -5 in ascending order.\nAnswer: -5, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 2*x - 1. Let h(z) = z. Let o(k) = f(k) - h(k). What is o(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5569, -7698, -9851, -12040, -14277, -16574, -18943?\nAnswer: -21396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-53)\/(-17) + 10\/(-85). Solve -f*z = -4*b + 10, 3*b = -2*z - 3*z + 22 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2cc (base 16) in base 13?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/7 - 531\/1246. Let y = a + -7721\/1424. Find the common denominator of y and -1\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -1, -2224, -5 in decreasing order.\nAnswer: 4, -1, -2, -5, -2224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -86 + 78 + -2 + (0 - -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 5\/3*k**2 - 1\/3*k**4 - 1\/3*k**3 - k + 0 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 127*j**3 - 2*j**2 + j. Let b be s(1). Let z = 11 + -3. Let q = z - -6. Calculate the highest common factor of q and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1547070 is divided by 110505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, d: 1, v: 2, n: 4}. What is prob of picking 1 i, 1 n, and 1 v?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*m + z, 2*z + z + 6 = -2*m. Suppose 3*r = r - 28. Let j = m - r. What is the highest common factor of 56 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5516*w + 4535 with respect to w.\nAnswer: -5516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/36, 1\/7, -255, -2\/5.\nAnswer: -255, -2\/5, -1\/36, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -145*f**3 - 970*f**2 - 2140*f - 1560 = 0.\nAnswer: -78\/29, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14802*u**5 + 310*u**4 + 9649*u**2 - u - 27?\nAnswer: 888120*u**2 + 7440*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2. Let b(s) = -27411*s**2. Calculate l(b(q)).\nAnswer: -751362921*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -347.9524 + -0.0476. Let j = r - -347.9. Which is the third biggest value? (a) -2 (b) j (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/21)\/((-12)\/(-28)*(-31)\/(2883\/806))?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -4*t**2. Let y(a) = a. Let x(b) = 3*b. Let z(h) = -2*x(h) + 5*y(h). Determine j(z(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 97cd77 - -3d?\nAnswer: 97cdb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/9, 0, 14, 3, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 - -24044202?\nAnswer: 24044214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 - -28. Let a = 8 + d. Suppose 6 = 2*v - a. Solve -4*b - 4*j = v, j + 11 - 1 = -5*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of 2*v**4 - v**3\/6 - 2*v**2 - 119. Give x(-1).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 11:57 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -982\nAnswer: -1\/491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fe when two letters picked without replacement from {p: 6, e: 2, z: 6, m: 1, f: 2, o: 1}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4560 and 576?\nAnswer: 54720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -191 in -0.22, 1, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j + 6. Let x be r(-6). Suppose 5*g = d + 69, -g + x = -3*d + 1. What is the remainder when 37 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16536324 and 280.\nAnswer: 165363240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 2 + 0 + (-14 - -9)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 62*c**2 + 3479*c - 11008. Calculate j(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 221076?\nAnswer: -221077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from maaaaasacacaaa.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**10)\/g)**(-5)\/(g\/g**(-1))**(3\/7))**4 assuming g is positive.\nAnswer: g**(1376\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2, -1\/86 in descending order.\nAnswer: 0.2, -1\/86, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2178130 is divided by 115?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/18*-3*24. What is the hundreds digit of 105 - (-1*1 + (s - 9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 7*k - 5. Let r(u) = -7*u + 6. Let x(n) = -3*m(n) - 2*r(n). Let q be x(-2). Let d(v) = -4*v + 34 - 17 - q. Let f(h) = -h**2. What is f(d(w))?\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 19 = 5*c - 14, 0 = 3*r + 15 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -14, 1, -0.2, -5287 in ascending order.\nAnswer: -5287, -14, -5, -0.2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110 - -101 - (17 - (6 - -2)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*p - j - 144 = -3*j, -p + 5*j = 6*j - 9 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 25, 3 in increasing order.\nAnswer: -4, 3, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/19 + 50550472*u\/19 - 319418777427848\/19.\nAnswer: -2*(u - 12637618)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*204\/(-16)*-2. Suppose -8*r + 13 + m = 0. Suppose j + 6 - r = 0. Calculate the least common multiple of 3 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76047075?\nAnswer: 3, 5, 13, 25999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**6 + 82*p**3 - 23*p**2 - 4.\nAnswer: 120*p**3 + 492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5115021.\nAnswer: 3, 149, 11443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 16.2 and -684528.\nAnswer: -684511.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-88)\/99*6\/20*(-10)\/4.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 4*f - 3. Let l be -2 + (2 + -1)\/1. Are f and l unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 13*g**3 - 14*g - 19. Let j(u) = -15*u**3 + u**2 + 15*u + 23. Let x(t) = 8*f(t) + 7*j(t). Let y = 16 - 10. Determine x(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 7*x**2 - 2*x + 6. What is the remainder when 76 is divided by c(-7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 26*h**2 - h + 24. Let q be r(26). Is 3384 + (2 - (-4 - q)) + -2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = 35 - 15. Let w(x) = x**2 - 7*x + 4. Let s be w(6). Put s, m, 6 in increasing order.\nAnswer: s, m, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 6, v: 4}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 11*u**3 + 5*u**2 + 3*u + 36. Let n(x) = 3*x**3 + x. Calculate -3*n(j) + t(j).\nAnswer: 2*j**3 + 5*j**2 + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2 - g - 13. Let y be b(-6). Let t be (-19 - -21)*(-122)\/(-4). Suppose 0 = y*c - t*c - 288. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 - 8 = 3*d. Let l = 310 - 306. Suppose 0 = l*a + 92 - 140. Calculate the remainder when a is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -45, -33 in decreasing order.\nAnswer: -5, -33, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**3\/11 + 379796*s**2\/11 - 12151288*s\/11 - 25821776\/11 = 0.\nAnswer: -2, 34, 189866","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1284 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vbvbv. Give prob of sequence vbbv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - f**2 - 18*f - 13. Is s(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -11, -25, -43, -65, -91, -121?\n\"Answer: -2*w**2 - 8*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11\/(99\/(-1002)) - 4\/(-12). Which is greater: -114 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/2639691 and -157\/1242?\nAnswer: 364277358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30371, -29561, -28751, -27941, -27131?\nAnswer: -26321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1012*u - 180 = 967*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 2*w**2 + 24*w - 8. Calculate g(7).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 4291.\nAnswer: 4291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 129179640 rounded to the nearest 1000000?\nAnswer: 129000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3691 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 76.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -432, -410, -380, -348, -320?\nAnswer: -302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = q + 4*y, 2*y = -0*y + 4. What is the greatest common factor of 26 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y\/y**(-1))\/y))**(-22\/7))**13*(y**(-1\/4)*y*y*y**(-7))**(-31) assuming y is positive.\nAnswer: y**(651\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 8) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 170 and 1660135.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -228770890*w**3 + 457656572*w**2\/3 - 382664*w\/15 + 16\/15 = 0.\nAnswer: 2\/23915, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 1. Let l = r + 10. Suppose -l*f + 40 = -71. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1804650 to the power of 1\/3, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/6)\/((237107\/732)\/299)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -579 - -2503. What are the prime factors of k?\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(6\/4)*(-13)\/((-520)\/240).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 43 = 15*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4170, 8685, 13200, 17715, 22230?\nAnswer: 26745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21201 - 52?\nAnswer: 21105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 2*f - 2 = -1, 0 = 3*n + f - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**4 - 10 + 2*n**3 + 4*n**4 + 2*n + 7 as o + g*n**2 + y*n**3 + r*n + u*n**4 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -813 - -812. Which is the smallest value? (a) -3\/16 (b) x (c) 4\/11 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163*i - 2040405 - 2683498 = 0. What are the prime factors of i?\nAnswer: 73, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9731, -38932, -87605, -155750?\nAnswer: -243367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 54 (base 13) to base 9\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**4 + 4*a**4 - 2*a**4)*(-861 + 1716 - 847).\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, 0.3, 0.78, -35, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.8 + -3.8. Let u(t) = t**3 + 5*t**2 - 6*t - 7. Let w be u(-6). Let z = -9 - w. Which is the closest to 0? (a) -0.3 (b) q (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**24*t)\/t)\/t**(5\/4))\/(t**(5\/14)\/t)**(47\/4) assuming t is positive.\nAnswer: t**(-935\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 28655.2024 rounded to the nearest one thousand?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12309 and -8.4.\nAnswer: 103395.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -n - 3, n - 15 = -0*n + 5*c. Suppose 0 = 2*i + i - 2*s - 7, 0 = i - n*s + 2. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**3\/3 + 236591*i**2\/3 + 6152069*i\/3 - 2129553 = 0. Calculate i.\nAnswer: -27, 1, 236617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a - 4. Let n be h(0). What is the tens digit of (-3314)\/n - (-24)\/16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1777370 to the power of 1\/3, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 + 44. Let n = 11 - z. Let c(u) = -u**3 - 6*u**2 - 5*u + 4. Determine c(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/225305 and -59\/45.\nAnswer: 2027745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -2.3. Let k = 1.7 - g. Let v = 0.039 + 0.961. Which is the second biggest value? (a) -5 (b) k (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**3*o**2 - 159323*c**3*o - 2*c*o**2 - 749167*c*o wrt c.\nAnswer: 6*c*o**2 - 955938*c*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -8\/7, 2, -2\/7 in increasing order.\nAnswer: -2, -8\/7, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fjfjfffffjjfj. Give prob of sequence fj.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s + 1. Suppose 11 = -o + 8. Give c(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76223147 is divided by 214.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1*2)\/((-2)\/2). Suppose 0*p + p = k. Solve -p*m + 5 = 3*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7619892827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (61\/3)\/(2\/((-12)\/(-2))). Suppose -13 + a = -6*u. Is u less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 86?\nAnswer: -5\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-415)*(-5*9\/(-135))\/((-26)\/(-260)).\nAnswer: 4\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkpkkkpkpkpkikpppk. What is prob of picking 1 p and 3 k?\nAnswer: 385\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 9:57 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102343.\nAnswer: 53, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 34. What is the smallest common multiple of 26 and v?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185694329?\nAnswer: 185694329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -366 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 220980 and 240?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89550 divided by 6.\nAnswer: -14925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -21 and -2838.\nAnswer: -2859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -0.191 (c) 251 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31769606.\nAnswer: 2, 11, 31, 37, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-69)\/92*3\/(-45).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -13*f + 7. What is the remainder when q(-7) is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 182.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2591*n = 2539*n - 1300 for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 180 and 29916?\nAnswer: 149580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 3*q**2 + 2*q + 5. Calculate r(-3).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/2 (b) 0.2 (c) -17 (d) 0.05 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56 + 50. Let a = i + -104. Suppose 0 = 3*z - 4*s - 4 - 11, 0 = -2*z + s + 10. Solve 0 = z*x - a - 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 8*o - 1. Let c be w(-1). What is the units digit of (-1)\/((c\/3)\/57)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -90*(264\/55 + -5). Solve -l = 5*y - 22, -3*y + 0 = 3*l - o for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1584717 to the power of 1\/2, to the nearest integer?\nAnswer: 1259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100154 (base 8) to base 2.\nAnswer: -1000000001101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + c + 33 = 0. Let n = -107 + 118. Calculate the greatest common divisor of c and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101011001010011111001 (base 2) to base 8.\nAnswer: -5312371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-1) + -2 - (12 - 16). Suppose 0*m = 5*m - 20. Let f(u) = u + 8*u**3 - 1 - 3*u**2 + m*u**2 + 0*u**2. Determine f(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 330*d**3 - 2 - 1008*d**3 + 5 - 3 + 343*d**3 + 334*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 0*b - 27*b**2 + 1\/30*b**6 + 8\/105*b**7 + 0*b**3 - 4\/15*b**5 + 0 - 1\/6*b**4. Let g(k) = 0. Calculate k.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence td when two letters picked without replacement from {i: 2, d: 2, e: 2, t: 4, v: 4, c: 1}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14937720 to the power of 1\/2, to the nearest integer?\nAnswer: 3865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3087037131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - a + 1. Let l(b) = -21*b**2 + 4*b**2 - 24*b - 4*b**2 - 9*b**2 + 24. What is 5*l(f) - 120*y(f)?\nAnswer: -30*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2696, 2694, 2692, 2690, 2688, 2686?\nAnswer: 2684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o - 3*o - 6*o**2 + 5*o**2 + 79 + 0*o**2. Is h(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**2 - 17*k**2 + 4 - 4*k + 4*k.\nAnswer: -16*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, 3, -623, 25, 1 in increasing order.\nAnswer: -623, 1, 3, 25, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003240\/53 >= 18928?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2326110887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 34*m**2 + 75*m + 111. Let y be t(-36). Solve 2*g = -5*f + y*g - 21, -2*g = 8 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 1267*d**2 + 1466*d**2 + 27*d**3 - 13 - 2737*d**2. Let w(c) = 13*c**3 - 2*c**2 - 6. Give 6*a(s) - 13*w(s).\nAnswer: -7*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74139?\nAnswer: 3, 13, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 331669*a**3*r**3 - 8*a**3*z**2 - a**2*r**3 - 13*a**2*r**2*z**2 + a**2*r*z**2 - 93*a*z - 286*r**3 wrt a.\nAnswer: 1990014*r**3 - 48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-1)*c**(1\/4))\/(c*(c**(-1\/2)\/c)\/c)**(-49)*(c\/((c**(-2)*c)\/c*c))**(-1\/21)*c*c**1*c**(-1\/9) assuming c is positive.\nAnswer: c**(-17503\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 57242678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of 0*l**4 - 1\/15*l**5 - 65*l**2 + 0 + 0*l**3 + 0*l. Let y(g) = -g**2 - 41*g. Give y(r(q)).\nAnswer: -16*q**4 + 164*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7816 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1557*t**2 + 2095*t + 1270*t + 1558*t**2 - 1283*t.\nAnswer: t**2 + 2082*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -144 and -0.5.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2319 - 99*y**3 + 2319 + (-y**2 - y + y)*(-2 + 2 - 3*y))*(y**2 + 4*y**2 - 2*y**2).\nAnswer: -288*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -25*z + 19. Let k be o(9). Let p = -120 - k. Suppose 4*h + p = 3*u, -4*u + 170 = -2*h + 62. What is the highest common divisor of u and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21.06 - 11.817. Let f = 0.123 - h. Let y = -28 + f. Sort y, 0.07, -0.3.\nAnswer: -0.3, 0.07, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*y = -415, -4*y + 28 = 8. Let u = w + -77. Is 17 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19 + 170?\nAnswer: 170.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3061 - -3061. Sort 4, -0.06, -0.4, -1, z in descending order.\nAnswer: 4, z, -0.06, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1394.\nAnswer: 2, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -24\/527 and (624\/1950)\/((-68)\/70).\nAnswer: 2635","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 8.41777 kilometers?\nAnswer: 8417.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b - b**2 + 0*b + (-2*b + 4*b + 0*b)*(5*b - 4*b + 0*b) - 3*b**2 - 2*b**2 + 6*b**2 + 0 + 0 - b**2 - 8*b + 3*b + 3*b + 2*b**2.\nAnswer: 3*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 541553610 + -541553310.000131. Let y = 25 + 275. Let z = y - i. Round z to 5 dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/5)\/((-3)\/15). Let l be (-4)\/t*0\/(-3). Suppose -15 = -l*g - 5*g. Sort 1, 5, g in decreasing order.\nAnswer: 5, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s = -9*s - 49*s - 942 - 1042 for s.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**2 - t + t + 0*t**2 - t**2 + 0*t**2 + (t + t + 0*t)*(3*t - 3*t + t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -30847837, -30847834, -30847831?\n\"Answer: 3*p - 30847840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 43348163 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6639 plus -2778?\nAnswer: 3861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 9487 = -2*p, w + 4*p = 3*p + 3162. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.124 - 1.83. What is h rounded to 2 decimal places?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 7*w - 12. Suppose w*z - 16 = 2*d - 2, z = 5. Let l = 60 + -56. Solve 3*m = d*r, 0*m - l*r + 21 = 3*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/2514732 and -109\/312.\nAnswer: 65383032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 109*r + 3602. Calculate t(-33).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -344*g**2 + 47*g**2 - 101*g**2 - 203*g**2.\nAnswer: -601*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 3*h - 186. Let n = -42 - h. Is 7\/(42\/n)*3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 0.3 (c) -4\/2155\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6667 and 7973319?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f + 26 + 0*f - 22 + (3 + 0 - 1)*(-3*f - f + 3*f) to s + j*f and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -43*r + 43. Let c be i(3). Let x = c + 90. Solve -7*j + x*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jw when two letters picked without replacement from {c: 1, q: 1, j: 2, w: 2, x: 4, f: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1217016 and 10.\nAnswer: 6085080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 9*f - 5. Let c be s(-7). Suppose 0 = -w - 0 + 2. Let o = c - w. What is the greatest common divisor of o and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 20. Put -1, n, -2 in increasing order.\nAnswer: -2, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 212763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) -0.1 (c) 193 (d) 544 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 7*f - 7*f)*(-2 + 4 + 3)*(0*f**2 + f**2 + 2*f**2).\nAnswer: -165*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o**3 + 2*o**3 - 18*o**3)*(-3*o - o + 0*o)*(0 + 2 - 3).\nAnswer: -84*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4*z**2 + 12*z + 13. Let l be u(-7). Suppose 4*f + 7 = 3, -2*q + l = 3*f. Suppose q = 3*h - 4*v + 3*v, -5*v = 3*h - 40. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 19451344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 129\/(10836\/112)*(-6)\/(-52)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 - 8*j**2 - 99*j - 90.\nAnswer: (j - 15)*(j + 1)*(j + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -176*u - 2992. Let p be i(-17). Let d(w) be the second derivative of 1\/50*w**6 + p*w**4 - 2\/5*w**3 + 0*w**2 + 13*w + 9\/100*w**5 + 0. Factor d(g).\nAnswer: 3*g*(g - 1)*(g + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 136 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -17498666927634 and 17?\nAnswer: 17498666927651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-3))\/(2*1\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*b + 190*b = -240 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -624 - -633. What is the greatest common factor of n and 132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 207*c**3 + c**2 - 3600*c.\nAnswer: 1242*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6740 and 470?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-56)*2 - -3. Let v be (-1)\/3*(-132)\/(-16). Let u = v + q. What is the third biggest value in -1, -1\/5, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 4*c**3 - 35520*c**2 + 106532*c - 71016 = 0.\nAnswer: 1, 2, 8877","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -220710 divided by 5255.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1533*p + 1729*p**3 - 46360 + 46360 wrt p.\nAnswer: 10374*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -839\/75 - -93\/25. Is r at most -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26542.8166 - 26565.9. Let d = y + -0.0166. Let o = d + 23. Is -7\/3 greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -271.22634 rounded to 1 dp?\nAnswer: -271.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-70)*(32\/(-3))\/(-8)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 11:28 AM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/37061 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6334, -7284, -8234, -9184, -10134?\n\"Answer: -950*q - 5384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1531 divide 74519636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - l + 4. Let a be i(0). Differentiate 3*j**4 - 3*j**4 + 2 - 6*j**a with respect to j.\nAnswer: -24*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3869 divided by 73?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44004507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b**2. Let p(n) = -1640397*n. Calculate p(x(s)).\nAnswer: 4921191*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-10))\/(24\/(-20))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11\/(-165)*-15*7. Calculate the greatest common divisor of 8435 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -10, -34, -66, -106, -154, -210?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 2*l**2 - 5*l + 2. Let r be q(5). Suppose 0 = -4*z + z + 5*c + 65, 2*c - r = -4*z. Suppose -z = -0*n - n. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30979 and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -51551 or -51549?\nAnswer: -51551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9576 and 1008.\nAnswer: 19152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 9*q**2 + 18)*(192*q + 4422 - 4422).\nAnswer: -1728*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, c: 1, v: 2, a: 1}. What is prob of picking 1 c and 1 a?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7\/14)\/((-3)\/(-24)). Suppose i*v = -a + 372, -5*v + 376 = 4*a - 89. List the prime factors of v.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, g: 7, s: 4}. What is prob of sequence mmmm?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -54289*x**5\/3 + 253970*x**4 + 914209*x**3 - 94840*x**2\/3 + 272*x = 0.\nAnswer: -3, 0, 4\/233, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**4\/7 + 15308*g**3\/7 - 15294*g**2 = 0. What is g?\nAnswer: 0, 7, 7647","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 13 - 883*l**2 - 841*l**2 - 18 + 1721*l**2 + 3.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21958552?\nAnswer: 2, 7, 11, 43, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7665, 7640, 7613, 7584, 7553, 7520?\n\"Answer: -k**2 - 22*k + 7688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 8*t**3 + 2*t**2 - t - 2. Give v(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2639 is divided by 420?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 245517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1839, 76, 0, -3, -4 in descending order.\nAnswer: 76, 1, 0, -3, -4, -1839","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 788.5794 litres in millilitres?\nAnswer: 788579.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 155 + -1579\/10. Find the common denominator of (-1)\/2 + (-102)\/72 and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14 + 12)*(-2)\/(-4). Let y be (-2 - (1 + d))*(12 - 48178). Let f = 55332 - y. What is f rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1481263257 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1980197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -18 + 17 + 0 + -9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 858, 4048, 9366, 16812, 26386, 38088, 51918?\n\"Answer: 1064*v**2 - 2*v - 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-3)*8\/96)\/(21\/28)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127 + 129 + 1271519*v - 1271463*v.\nAnswer: 56*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 114535?\nAnswer: 114538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17.43 - -0.43. Let d = l + 16.9. Which is the second smallest value? (a) -3 (b) d (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -145.02 to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1183221*o**2*z**6 + 321*o**2*z**2 - 3*o**2*z + 83*o wrt z.\nAnswer: -141986520*o**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**2 + 11*r - 20. Let l be y(-9). Let d = l - 40. Suppose -2*n + 4*h = 36, d*n - 4*n + 4*h = 26. Which is greater: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 5*l**4\/24 - 7*l**3\/2 - 83*l**2\/2 - 27*l - 2. Let v(y) be the first derivative of f(y). Differentiate v(z) wrt z.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 4*b**2 + 5*b + 2. Let h be g(-5). Suppose -2*o - 2*o + 8 = 0. What is the first derivative of 3*t**h - 2*t**o - t**2 + 2*t**2 + 2 wrt t?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + h. Let v(z) = -4*z**2 - 2*z. Let j(u) = -c(u) - v(u). What is the second derivative of j(f) wrt f?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 3*p**2 - 2*p - 2. Suppose -5*r + 4*f + 6 + 7 = 0, 2*f = 5*r - 9. Suppose -r = 9*d + 26. What is x(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, 2\/7, -13, 0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 1. Let a = f + -5. Solve 3*p - 10 = 5*n + 3, a*p = -2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(216)\/(sqrt(192)\/sqrt(4)) + -2*((sqrt(2)*2 + sqrt(2))*5 + -1*2*sqrt(2)).\nAnswer: -49*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49341371 a multiple of 1947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + r - 13. Let u(q) = 2*q**2 + 4*q - 118. Determine 4*b(g) - u(g).\nAnswer: -6*g**2 + 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 6*k**2 - k - 7. Let h be v(-6). Suppose -4*q - 25 = 47. Let y = 15 + q. Put 9, h, y in ascending order.\nAnswer: y, h, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l - 2. Let s(k) = 2*k**2 + 129*k - 200. Let u be s(-66). Let z(d) be the first derivative of -3*d**2\/2 + 3*d - 1. Determine u*z(p) - 3*n(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -4*s + 66, 4 = 4*s - 0. Suppose z*u - 59*u = 18. Suppose -2*c - 52 = -2*n - 4*c, -5*c + 101 = 4*n. What is the remainder when n is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 700 (b) 3\/7 (c) -0.24 (d) 2\/3 (e) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*l + 2*l + 2*a + 31, -2*l - a + 7 = 0. Let h = 15 - l. Calculate the remainder when 29 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hyhy when four letters picked without replacement from {y: 12, z: 1, h: 6}?\nAnswer: 55\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4341*w**2 + 7096*w + 7. Let y(t) = -2171*t**2 - 3545*t - 4. Let l(f) = -4*n(f) - 7*y(f). What is the second derivative of l(q) wrt q?\nAnswer: -4334","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310084 is divided by 1104.\nAnswer: 964","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52612 = -3*f + 3*o + 52591, -4*o + 20 = -2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of 0*y**4 + 0*y + 1\/40*y**5 + 4\/3*y**3 - 1\/40*y**6 + 0*y**2 - 4. Let s(h) be the third derivative of d(h). Factor s(a).\nAnswer: -3*a*(3*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7756 and 1650040?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 210 = 3*c + 186, -3*d = -9. Solve 5*h + 11 = c*s + 1, 2*h + 3 = s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6002 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1076 or -2\/9?\nAnswer: 1076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -9*g**2 - 29*g - 74. Determine q(-4).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -20*l**2 - 133*l - 140. Give q(-5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4743.073 rounded to the nearest integer?\nAnswer: 4743","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**2 - 6*r - 5. Suppose 5*j + 17 = -23. Let p be l(j). Let f = 168 + p. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6718 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 685 = 3*x - 5*g, -2*x + 3*g = -7*x + 1119. Suppose 4*r - x - 210 = -5*y, 2*y - 197 = 3*r. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6848877859 to four dps.\nAnswer: -0.6849","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03498533 rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 1:33 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.495 * -16714.\nAnswer: -8273.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 4*p. Let l(g) = g. Suppose -4*d - 3 - 9 = 0. What is d*u(b) + 12*l(b)?\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**4 - 132*v**3 + 4356*v**2 = 0.\nAnswer: 0, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of x**6\/14 - 6*x**5\/35 + 3*x**4\/28 + 6. Factor s(w).\nAnswer: 3*w**3*(w - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -845 + 847 = -n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1030*c - 5133*c + 1020*c + 1024*c + 1032*c + 1025*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4885f + 3?\nAnswer: -4885c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 23*b - 2880 = -29*b. Calculate the lowest common multiple of b and (80\/(-50))\/(4\/(-250)).\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 698564902 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8531 - -136431\/16. Calculate the common denominator of b and (13\/(-60))\/(18\/(-162)).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 131175 and 4081?\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 0)\/(-34 - 1876\/(-56)). Let r(c) = c + 2. Let u(x) = -2*x - 2 + 2 + 0 - 1. What is w*r(a) - 3*u(a)?\nAnswer: 4*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4 = -3*s - 1, -5*s = c + 1. Let v(l) = 35*l**2 + l. What is the remainder when v(-1) is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 31 + -5815375?\nAnswer: -5815344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 3:18 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -5 + 0 + 6. Let v(o) = 6*o**2 + o - 4. Let r(j) = -3*n(j) - v(j). Give r(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0099171855 rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/(-30) + 33\/(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/((4235 - 4237)*51*2\/8)?\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2.914 + -1.559\nAnswer: -4.473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 55 (b) 1\/5 (c) 6\/7 (d) -14\/397\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*z + 25*z + 31*z - 432. Calculate the lowest common multiple of z and 876.\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5530 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 127131629 to the nearest integer?\nAnswer: 11275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 231 and 2954721?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -1110000100?\nAnswer: -1110000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.303273 to 3 decimal places.\nAnswer: -0.303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = h - 739, -h + 411 = -5*k - 334. Is 11 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - t + 3, -x + 11 = -2*t - 1. Let n(m) = -7*m**2 - m - 2*m**x + 5*m**2. Let l be n(-1). Let o(j) = j**2 + 4*j + 4. Give o(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29 + 15*z**2 + 4 + 31 - 14*z**2 to o + f*z + l*z**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 288 = 4*t, -61 = -t - n + 2. List the prime factors of t.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 + 12177*m + 60884. Determine p(-5).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 8551?\nAnswer: 8552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**3\/2 + 729945*k**2 - 4379712*k + 5839632 = 0. Calculate k.\nAnswer: -486636, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4494, -9643, -14792, -19941, -25090, -30239?\n\"Answer: -5149*f + 655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.3 + -1.7. Let d = f - -8.5. Round d to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -2*h - 4*x - 3, 0 = -5*x + 15. Let y(g) = 3*g - 9. Let s be y(7). Suppose 0 = h*d - 7*d - s. Let f(p) = -2*p**2 - 3*p + 2. Calculate f(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60547, 242361, 545385, 969613, 1515039?\nAnswer: 2181657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 94, 377, 848, 1507, 2354, 3389, 4612?\n\"Answer: 94*q**2 + q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 3)\/(-4) + 4 - -7. Let b = -4 + q. Suppose -24 = b*c - 80. Solve -c = -3*d - d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iliiiqiiiiiqqqlliiii. What is prob of sequence lqq?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -10 - (-13 + 5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000020609145 to 6 decimal places.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -2 - (1 - -3)) + 8 - (-84 + 158)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52 - 15*m**3 + 52)*((m**2 - m + m)*(1 - 3 - 2) - 2*m**2 - 3 + 3).\nAnswer: 90*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001000101101010 + -1?\nAnswer: -11001000101101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -2*i + 5, -7*r - 25 = 4*i - 2*r for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -2 - (59 - 52) - (61 - (-4 - -4))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27? (a) 2 (b) -1\/8 (c) 131 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3*l = -5793, -4*z + 5*l + 3545 = -2288. List the prime factors of z.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 58077 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - -2) + (4 + 4 - 14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 6*r + 6. Let u(z) = -3*z**2 + 18*z - 19. Let l(d) = -11*g(d) - 4*u(d). Let q be l(4). What is the smallest value in q, -0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -147 - -510. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4*j - 4 = 0. Suppose j*s + 2 + 8 = 0, -3*o = -2*s - 55. Let c = o - 12. Solve n + 2*n + c = -3*l, -4*n + 8 = -2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100620980*v**2 + 44860*v - 5 = 0.\nAnswer: 1\/4486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -51555870 - 0.4.\nAnswer: -51555870.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4, -11\/4 in increasing order.\nAnswer: -6, -4, -11\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -874b (base 13) to base 4.\nAnswer: -10212012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -139334594 and -270953?\nAnswer: 139063641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 16*o**2 - 15*o + 3. Let l be i(15). Let y be l*740\/12 + 0. Suppose -y - 5 = -5*r. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of h**5\/60 - h**4\/24 - h**3\/6 + 5*h**2. Is 11 a factor of o(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or -156358?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -152de9 (base 16) to base 9.\nAnswer: -2544882","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 91*t + 144 - 144 as c*t + p and give c.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 85540382 and 85540388 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -2\/35, 293, 2\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffaadqfaejaaae. Give prob of picking 1 f and 2 a.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1698608\/16*3*1\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 92754\/(-78) - (-6)\/39. Let s = w + 3242. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2030 (base 6) to base 5.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 526 and 0.1.\nAnswer: 52.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q\/((q\/q**(-27))\/q)*q)))\/q)\/q**(-2\/7) assuming q is positive.\nAnswer: q**(-180\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s**2 - 5*s + 1. Let q(l) = 7885*l**3 - 76*l**2 + 95*l - 19. Give -q(b) - 19*x(b).\nAnswer: -7885*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0834258 + -0.0835. Round u to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 8) in base 5?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*p - 1153 - 1225 = -362 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1312 + 1424. Calculate the remainder when 220 is divided by t.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 8137 (c) 1\/12 (d) -2 (e) -4\/3 (f) -4 (g) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**5 - 1 + 1 - 2*u**5 + u**5 + 0*u**5 + (-4 + 4 + u**2)*(0*u**3 - 2*u**3 + 4*u**3) - 12179*u**5 + 1 + 12177*u**5 + 1 - 33*u**4.\nAnswer: u**5 - 33*u**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence orc when three letters picked without replacement from rorrrcrorr?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.31427 - -0.06257. Let l = u + 0.25. Round l to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-14)*13\/(169\/(-182))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -79 by -79.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -0*g - 12. Let s(o) = o**3 + 2*o**2 - 8*o - 1. Let f be s(g). Let k = -24\/7 + 19\/7. Which is greater: k or f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4*(3 - 26\/8). Suppose -88 = 3*b - 220. Calculate the common denominator of 91\/2 and 124\/b + (1 - c).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**5\/7 - 729*f**4\/7 - 456*f**3 + 7812*f**2 + 400224*f\/7 + 711360\/7 = 0. Calculate f.\nAnswer: -6, -4, 10, 247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 12*v**3 - 3*v**2 - v - 1. Let d be g(-1). Let u(c) = c**3 + 14*c**2 - 16*c - 20. Give u(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -79*c + 109*c - 814560. What are the prime factors of c?\nAnswer: 2, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 2. Let p = i - -6. Put 0, p, 0.5 in descending order.\nAnswer: p, 0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**(-28)\/a)\/a)\/a*a*a)\/a)\/a*(a\/a**(2\/43))\/a*(a\/(a\/a**(-9\/2)))**28 assuming a is positive.\nAnswer: a**(-6753\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 3379, 0, 81?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, t: 6, x: 7}. What is prob of sequence xrx?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 9*n + 16. Let d be j(7). Suppose r + 23 = -0*r + 2*l, -d*r - 3*l = 60. Let x = -22 - r. Solve -x*q + 10 = -5 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 - 4*p**3 - 2*p**3 - 18 + 5*p**2 - 4*p - 6*p**2.\nAnswer: -6*p**3 - 4*p - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 5:05 PM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7146 bigger than 7160?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.4, -2, -0.01 in descending order.\nAnswer: 0.3, -0.01, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3285300 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 - 5 - (-13 - (-5 - -2) - (17 + -18)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - v + 892927 = 0, 2*w - 7*v + 57029 = 503530. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -657273?\nAnswer: -657273.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 6. Let w = -3.59 - 0.01. Let o = 0.6 + w. Put o, n, -4 in descending order.\nAnswer: n, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 2*k - 2. Let f be y(-3). Let p = -2.2 - -5.2. Let o(v) = v**2 + 5*v - 4. Let u be o(-6). Which is the closest to f? (a) u (b) 0.5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (138 + 84 - 55)*(-4 + 4 + 8*r) + (2*r + 5*r - 5*r)*(1 - 4 + 5).\nAnswer: 1340*r","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**4 - 54*o**3 - 52*o**2 + 54*o + 53 = 0.\nAnswer: -53, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000110100001 + -1?\nAnswer: -101000110100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005902 to four dps.\nAnswer: 0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 3:40 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -10*f - 16. Let d be n(-2). Suppose 0 = -4*r + 120 + 40. Suppose -3*y = d*j - 32, 4*j = -j - 4*y + r. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of i**4\/108 + i**3\/54 + 8*i - 5. Determine z so that c(z) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p + 10. Let q be c(-8). Let w = 28 + q. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 35*k - 67. Calculate y(33).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451154?\nAnswer: 2, 11, 20507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -50*w + 89*w - 92 + 40 + 559 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, k: 2}. Give prob of sequence kk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 3:47 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -79*v**5 + 4*v.\nAnswer: -1580*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 50 = 11*t - 380 for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*t - 15*t - 17*t - 18*t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 34*0.2\nAnswer: 6.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -429, -3, -87, 0.7, -0.1, 2\/15?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1636 divided by 1636\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 10*a**3 + 1267 - 1267. Suppose 3*u = -u. Suppose u = 5*t - 5*i + 5, 5*i - 1 - 9 = 0. What is y(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 6*c. Let s(q) = 4*q**2 - 18*q - 6. Let t(o) = 5*o**2 - 15*o - 5. Let j(d) = 5*s(d) - 6*t(d). What is w(j(p))?\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 + -8. Calculate the remainder when 41 is divided by o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3194333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -183539, -367090, -550665, -734276, -917935, -1101654, -1285445, -1469320?\n\"Answer: -2*r**3 - 183537*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - o**2. Suppose 0 = 4*i - 3*t - 0 + 1, 0 = -5*t - 25. Let x(h) = 52*h**3 + 53*h**3 + 5*h**2 - 102*h**3. What is i*s(w) - x(w)?\nAnswer: w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4*n - 34. Let t be q(-10). Suppose -3*v = -2*h - 1 - 4, t = 3*h. Solve -2*f + 4*s - 5 = -v, -2*f - 4 = -5*s for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36+121\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5069 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -48) + (4 - (-7 - -15)) - 1.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 93\/5. Suppose i + 3*j - 1 = 5*i, -2*i - j = 3. What is the fourth smallest value in i, -3, x, 2\/11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + m - 2. Let z be f(-3). Suppose -p = z*p - 20. Factor -p*d**2 - d**2 + 3*d**2 + 9*d - 6 - d**2.\nAnswer: -3*(d - 2)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 255664990 to the nearest one million.\nAnswer: 256000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 1:56 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 6*w**2 + w + 10. Let s be v(9). Which is greater: s or 503?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6807*h + 755*h + 913*h + 872925 = 0 for h.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 5. Is -1 at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*g**2 - 5*g**6 + 6 + 2 - 8 wrt g?\nAnswer: -600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34513.9 - -34514. What is the closest to j in -137, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2006821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*t + 49464 = 52600 for t.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*2*1\/(-3). Suppose 4*v - 9 = 3. Let b = v - g. Is b a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23224 (base 5) in base 2?\nAnswer: -11010011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dyd when three letters picked without replacement from lddjbyy?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -87 or 82.41?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*f - 2*g - 45, 17 = 5*f + 2*g. Suppose -f*z = -25, -x + 0*z + 53 = 2*z. What are the prime factors of x?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -36*i - 4. Let u(q) = 2*q - 2. Calculate the lowest common multiple of u(3) and a(-1).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**2 - 2*l - 1 + 2*l + (3 - 3 + 2*l**2)*(-7 + 1 + 0).\nAnswer: -11*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2426327 to the power of 1\/3, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 8.90387 meters?\nAnswer: 8903.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4916331, 1, 3, -22 in decreasing order.\nAnswer: 4916331, 3, 1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/(-15))\/(36\/(-90)). Let l be (-44 + 32)\/(0 - k). Sort -4, l, 3 in decreasing order.\nAnswer: l, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -5*s**3 + 65*s**2 - 124*s - 2. Give i(2).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 202 and 1111.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5*w - 129, r + 105 = -3*w + 34. Is 7 a factor of 10\/w + (-20244)\/(-60)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + -4. Let j(a) be the second derivative of a**5\/20 + a**4\/2 + a**3\/6 + 7*a**2\/2 + 65*a - 1. Let h be j(m). Is 1.4 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13 and 145932.\nAnswer: -1897116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millennium in decades?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = -7*d + 4*d. Let w = 435 - 379. Calculate the highest common divisor of d and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**0)**47*v**2*(v\/v**(3\/2))\/v)\/(v**(-2)\/v*v*v\/(v*v*v**(3\/2)*v))**(-2\/49) assuming v is positive.\nAnswer: v**(4633\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52 + -10. Let n = z + -40. Let q be 15\/30 - n\/(-6). Which is the closest to 0? (a) q (b) 2\/9 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -1, 0.3, 187, -3\/49?\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 590284?\nAnswer: 2, 147571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 148891 - 148958 = 9*k, 2*k = 5*b + 45 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40401 and 374333221.\nAnswer: 4489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6 + -0.2. What is w rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2. Let s(o) = -181795206*o. Calculate s(w(j)).\nAnswer: 181795206*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 - 1 + 1)*(-4 - 2 + 1) + 3 - 4 + 0)*(-3*c**2 - 2*c**2 - 2*c**2) to the form p + s*c**2 + l*c and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -264668*l**3 - 68954*l**2?\nAnswer: -1588008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -36287*j - 58728 wrt j?\nAnswer: -36287","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 24*a - 171. Let h be z(7). Sort -22, 2, h, 3 in increasing order.\nAnswer: -22, h, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 20 = -m + 5*m, 4*m - 5*i - 26 = 0. Suppose m*a - 1458 = 10*a. Let u = a + 403. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9}. Give prob of picking 3 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 19 = -3*x, -14 - 8 = -3*o + 2*x. Suppose -13 = 3*l - o. Is (5 - 152)*1\/l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -1 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.1 in 1\/9, 1, -1\/18?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10284624, -20569252, -30853880, -41138508, -51423136, -61707764?\nAnswer: -71992392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-2\/5))**(-4\/5)*h**(4\/7)*h*h\/h**3 assuming h is positive.\nAnswer: h**(-271\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (30\/300)\/(6\/10)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1607474 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 68945 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 10*b**2 + 26*b - 29. Determine w(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1430)\/(-168))\/(34\/595). Let u = h + -149. Is -1 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -176.2 + 176.2. Which is the closest to t? (a) 1 (b) -2\/19 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65835 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(42\/(-40)) + -2. Let b = -0.0021 - 0.0243. Let t = 0.5264 + b. What is the closest to q in t, 4, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46\/229 - -1054\/687. Solve g*d**4 - 40\/3*d - 8*d**3 + 16*d**2 + 4 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7572 + 27555. What is the ten thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 115 in 1\/49, -1\/6, -90\/13?\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 7781*n - 30 = 7777*n, n = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*f**3\/2 + 1015*f**2 - 26352*f + 221616.\nAnswer: -(f - 38)*(5*f - 108)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 106*w - 107*w + 10, 4*d + 3*w - 20 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3840962701.\nAnswer: 3840962701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -38*v. Suppose 117 = -3*y + 18. Let j = y - -32. Let q(x) = 2*x - 2. Let f(r) = -1. Let u(m) = j*q(m) + 2*f(m). Calculate p(u(t)).\nAnswer: 76*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/18*(2 - -1). Let h(u) be the second derivative of -u**3 + 1\/6*u**m - u + 2*u**2 + 0. Factor h(i).\nAnswer: 2*(i - 2)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-56 + 54)\/((-2)\/331).\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 11590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*v + 81 = -170, -2*q + 4*v + 520 = 0. Suppose -s + q = 5*t, -4*s - 834 = -7*s - 3*t. What are the prime factors of s?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjj. Give prob of sequence jjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of 5*x**2\/2 + 11. Let q(h) = 2*h. What is q(o(l))?\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*g + 2*g - 4*g)*(10 - 2*g**2 - 10).\nAnswer: -10*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 - -31. Let u be 10*(-1)\/(-9) + (-2)\/2. Which is smaller: u or y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 10230\/4429?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z + 70921 - 35448 - 35519.\nAnswer: 6*z - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/13)*f\/f**3*f**4\/(f*f**(-1\/2)*f) assuming f is positive.\nAnswer: f**(17\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2*i**3 - 2)*(-1 - 3 + 5)*(-45 - 128 - 17)*(2*i + 2*i - 3*i) to the form c*i**4 + d + n*i + w*i**3 + m*i**2 and give c.\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 4, -17, -1941.\nAnswer: -1941, -17, -16, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -21*c**2. Let t(m) = 4*m**2 - 5*m + 1. Let g(z) = -175*z**2 + 175*z - 35. Let w(v) = 2*g(v) + 70*t(v). Calculate n(w(l)).\nAnswer: -102900*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 divided by -1038.\nAnswer: -65\/1038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 5*d**2 - 3*d + 7. Let p be z(5). Let g = 13 + p. Solve -4*t + g*t + 24 = 4*a, 5*t + 4*a = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (312\/(-36))\/(-26)*42\/8?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 314, 284, 224, 128, -10?\nAnswer: -196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3819978*y**3 + 3*y**2 - 1260686?\nAnswer: 11459934*y**2 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 13*h**2 + 14*h - 21. Let u be q(12). Suppose -m - u*m = -48. Is (2391\/m)\/(6\/24) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 7*o = -320. Does 16 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*o + 37*o - 39864 = -35*o. Are o and -0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 5*o**2 - 2*o - 2. Let k(z) = -30*z**3 - z**2 - 2*z + 3. Let u be k(1). Let n be (0 + -2)*45\/u + -1. Determine a(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(28)\/sqrt(4) + 5*sqrt(7)*-1)*3 + (0 + sqrt(448))*-1 + -3.\nAnswer: -20*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, s: 7, r: 4}. What is prob of sequence ssrr?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*y = 86*y - 39 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 104730603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5299, 5159, 5019, 4879, 4739, 4599?\nAnswer: 4459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*10\/(-15)*-21. Let j = 28 + -43. Let k = 29 + j. Calculate the greatest common factor of p and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o**5 - 3590*o**4 - 17987*o**3 + 43060*o**2 + 287536*o + 230080 = 0. Calculate o.\nAnswer: -4, -1, 4, 3595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-7)\/s)\/s)\/s*s*s\/s**8)**(4\/9)*((s**(2\/7)\/s)**(23\/2))**(2\/11) assuming s is positive.\nAnswer: s**(-1885\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 27870737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*f - 15*f - 22*f)*(-5*f**2 - f**2 - 3*f**2)*(-1070*f - 11 - 13 + 1071*f).\nAnswer: 54*f**4 - 1296*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 18 * -0.0870256\nAnswer: -1.5664608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 28*g**2 + 7*g - 5. Let y be h(5). Suppose -y = -4*s - s. Does 12 divide (-1)\/3 - s\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 31 = 79. Let m(y) = -2*y - 6. Calculate the remainder when s is divided by m(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-12))\/(11\/(-21171)). Let d = z - -642. What is the common denominator of d and -39\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - k = -2, 0 = 2*z + 2*z - k + 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -8. Let l(a) = 28*a**2 - 7*a - 5. Let s(i) = -29*i**2 + 8*i + 6. Let t(h) = w*l(h) + 5*s(h). What are the prime factors of t(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4346323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 7398272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 - 60*t**2 - 319*t - 390.\nAnswer: (t - 65)*(t + 2)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1847122?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 at most 5.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((4 - 9) + 6)*1\/(-6). Put -0.1, -4, -0.5, h in decreasing order.\nAnswer: -0.1, h, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.737 - -81807587.\nAnswer: 81807594.737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 1673.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 38, 14.\nAnswer: 3, 14, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*f**5 - 1166*f**4 + 1100*f**3 + 19902*f**2 - 38185*f + 18400 = 0. What is f?\nAnswer: -23, -5, 1, 160\/51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a week in minutes?\nAnswer: 11760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/7 + 38\/14. Solve h*j + 8 = 5*m, 0 = 4*m - 2*m + j - 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -13?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228*t + 243*t - 471*t + 9807*t**3 - 9801*t**3.\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13579*q + 5*i = 13581*q - 4, q + 4*i = 3*q - 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -45150*q. Let y(g) = -5*g**2. Determine k(y(m)).\nAnswer: 225750*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kskssssk. What is prob of picking 2 s?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - m - m)*(-2*m - 2*m**2 + 2*m)*(-3 - 1 + 3 + (-3 + 3 - 1)*(1 - 1 - 1) + 0 + 0 - 1).\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6138 in 1\/7, -3\/4, -0.5, 0.1, -0.07?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 8*m + 4*r = 971, -2*m + 366 = -4*r. Suppose 0 = 2*f + g - m, 2*g = 6*g + 4. What is the highest common divisor of 24 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 475.99293 + -476. Round d to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/6 - 8\/(-12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 186\/(-36)*((-81)\/6 + 12). Which is the closest to 1? (a) 0.1 (b) 1\/3 (c) -0.5 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11229 divided by -115\nAnswer: -11229\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1913251, -1913440, -1913629, -1913818?\nAnswer: -1914007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/5 + -11 + (-441)\/(-45)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-542)\/(-72) - (48\/27 + -2) and 73\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - (-74 - (-8)\/4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 25664 + -11243?\nAnswer: 14421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 27686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 475*w + 1. Let o(u) = 237*u. Calculate 5*o(k) - 2*y(k).\nAnswer: 235*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*i = -2*i + 64. Solve -i*n + 7 = 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2080960 by -14.\nAnswer: -148640","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.4 + -4.3. Sort 0.3, 1, 4, w in increasing order.\nAnswer: w, 0.3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 3 + 48272*d**2 - d - 48155*d**2 as q*d + u*d**2 + t and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.39*-0.02798414.\nAnswer: 0.0109138146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c094 + 2ec?\nAnswer: c380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -a12a?\nAnswer: a125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 26 + -25738?\nAnswer: -25712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -g**5\/90 - g**4\/9 - 4*g**3\/9 - g**2 + 3*g. Let l(k) be the first derivative of x(k). Factor l(y).\nAnswer: -2*(y + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 159.05 - 159. Let p = -22.96 - -23. Is t less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 6908 - 29092 = 0. Suppose -20 = -4*a - 4*r, 2*a - 5*r - 10 = -0*a. Suppose -6*v = -a*v - b. Round v to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, d: 6, p: 4, b: 2}. What is prob of picking 1 d and 2 b?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6973686, -6973690, -6973694, -6973698, -6973702?\n\"Answer: -4*v - 6973682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1885*v**2*z + 187*v**2 - v*z**2 + 10*v wrt z.\nAnswer: -1885*v**2 - 2*v*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.3, -5, 3\/26, -1\/4?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + f + f + 8, -i - f + 8 = 0. What is j in -6\/5*j**3 + 0*j**2 - 3\/5*j**i + 3\/5 + 6\/5*j = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 4*u**2 - 2*u + 4. Suppose 0 = -4*r, 0*r = 5*w + 3*r - 20. Suppose -w*b + 8 = -2*b. Calculate the least common multiple of o(-4) and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.11, -2\/41, -0.3, 5, 0.2?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7616397?\nAnswer: 3, 19, 47, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 230088194, 230088197, 230088202, 230088209, 230088218?\nAnswer: 230088229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.751 and 0.6819.\nAnswer: -0.5121069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -1 + 0 - b**3 - 9*b**2 + 0*b**2 - 1. Let i be j(-9). Calculate the remainder when 40\/15 + i\/3 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13425778 > 13425781?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1.9, 2, 0, 1, -0.7?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -104610.07 + 104610. Let c be 1\/(12\/(-10) + 1). What is the closest to m in 3\/8, -2\/3, c?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 519\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*j = 2*j - 326, -2*z - j + 214 = 0. Let p = z - 104. Let u(h) = -h**3 + h**2 + 2*h - 3. Give u(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61 + 41. Let q be (-4)\/(-7) + f\/42. Suppose u + q*u + 3*t - 3 = 0, t = u - 6. Solve 2*g + 1 + u = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, g: 2}. Give prob of sequence ii.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -3*b**5\/20 + 2*b**4 - 10*b**3 + 24*b**2 + 9*b + 3. Let i(j) = 0. What is j?\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -61 - -64.7. Let k = 2.346 - 11.046. Let u = f + k. What is the closest to -0.3 in 0.3, u, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - 6. Let k = -6 - q. Suppose k*u - 18 - 80 = 0. Is u a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19.6 - 22.6. What is the closest to -3 in 2\/7, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g**2. Let f(x) = -4*x**2. Let y = 3 - 6. Let p = y - 1. Give p*f(d) + 5*n(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, e: 1}. Give prob of picking 1 e and 1 w.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -n**3 - 43*n**2\/2 + n + 34. What is the remainder when 242 is divided by b(-14)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 10.9.\nAnswer: 43.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 1. Let k be q(-1). Suppose -6*r + 12 = -k. Solve -r*j + 9 = -7*j + 3*x, -j + x = 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (16 - (0 + 0))\/(9\/135) is divided by 41?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 9*c**2 - 11*c + 5. Let w be o(-10). Which is bigger: 14 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29.756 - 29.62271. Let b = v + -7.13119. Let n = b + 7. What is n rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*n - 4*n = -24, -n = -5*z + 40. Suppose 2*m + 4*b + 6 = 0, 3*b + 6 = -3*m - 2*b. Suppose -8 - 4 = -m*w. Solve z + 0 = -w*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-31)\/(28\/8 + -4).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 8 = s - 6*s, -18 = -4*s - 5*o. Let l be -3 + -1 + 7\/s. Let h = -388\/435 - -22\/29. Which is the closest to l? (a) h (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (137 + 213 + 150)*((p - 2*p**2 + 0*p**2 + 0*p)*(2 + 3 - 3) - 1 + 2*p**2 + 1 - p**2 + p**2 - p**2).\nAnswer: -1500*p**2 + 1000*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 817288545?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -0.4, 197\/48.\nAnswer: -8, -0.4, 197\/48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u - 14 = 7*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x = 26*x - 120 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -81947 and 0.355?\nAnswer: 81947.355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - -2. Suppose 2*l + l - 2*b - 4 = 0, l + 10 = -s*b. Let z = -1320\/7 - -188. Which is smaller: l or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -262\/25431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1547720 divided by -5?\nAnswer: 309544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 83, 48, -47, -232, -537, -992, -1627, -2472?\n\"Answer: -5*k**3 + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 389?\nAnswer: 4\/389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2 + 24*c - 36. Let x be q(10). Solve -x*u = -8*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zi when two letters picked without replacement from zwwzizwi.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/2*(-4)\/(-6). Suppose s*o - 6*o = -5. What is w in w**2 - 1\/2*w**o - 1\/2*w + w**3 - 1\/2 - 1\/2*w**4 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -1. Let i be (-2 - -5 - 4)*-1 + -1. Solve -2*o = -o + 3*a + c, i = -4*o - 5*a - 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34956 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c. Let v(p) = -6*p + 2. Calculate 8*a(s) + v(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -40, -79, -154, -277, -460, -715?\nAnswer: -1054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 795*v**2 + 10*v + 19. Let l be f(-7). Let r be 2882*27\/l - 2. Let i = 124823\/38904 - r. Calculate the common denominator of -157\/60 and i.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 880620 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of 0 + 0*l**2 + 1\/12*l**4 + 79*l + 1\/3*l**3 + 1\/5*l**5. Let c(n) = -12*n**3 - 4*n**2 - 6*n. Determine 2*c(d) + 7*m(d).\nAnswer: 4*d**3 - d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 924377237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.5, -306 in increasing order.\nAnswer: -306, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.064892 micrograms in tonnes?\nAnswer: 0.000000000000064892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**3 + 57*z**2 - 29*z + 19. Determine y(-29).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 306*s**5 - 278*s**2 wrt s?\nAnswer: 18360*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137620 is divided by 143?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x + 55160. Let u(p) = -24*p**2 - 13*p. Give o(u(y)).\nAnswer: 48*y**2 + 26*y + 55160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1995 and 1965.\nAnswer: 261345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**4\/2 - 10095*r**3\/2 + 20087*r**2\/2 + 999207*r\/2 = 0.\nAnswer: -9, 0, 11, 10093","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 142086965 a multiple of 4173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 571*r**3 - 3*r**2 - 633 with respect to r.\nAnswer: 1713*r**2 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 252 - 253. Let p = -106\/5 - -944\/45. Let y be (-2)\/18 - 6\/54. What is the closest to y in x, 2\/5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/163, 1\/2, 1\/3, -22\/5 in increasing order.\nAnswer: -22\/5, -2\/163, 1\/3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 12:40 AM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -82.93 - -82.83. Let r = -0.9 + -4.1. What is the closest to a in -1, r, 7\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 259244 to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 85*t**2 + 213 - 213 + (4*t**2 - 2*t + 2*t)*(0 + 0 - 1).\nAnswer: 81*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -987263.9595712 + 0.013.\nAnswer: -987263.9465712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x. Let u(m) be the first derivative of 3*m**2\/2 - 4*m - 4. Calculate s(u(p)).\nAnswer: 3*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o*o**(2\/7)\/o*o)\/o))\/o*o\/(o*o\/o**(1\/11)*o*o)*o**(-9)\/(o**3*o))\/(((o*o\/(o*o**0))\/(o*o**7))\/(o\/o**(2\/23)*o*o**(7\/3))) assuming o is positive.\nAnswer: o**(-26291\/5313)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -4*y - 728 + 8432, 4*y - 7680 = -3*g. What are the prime factors of y?\nAnswer: 3, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15685 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**3 + 2*b**2 - 126*b - 1831. Determine r(10).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2732148631?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55852, -112732, -169612, -226492?\nAnswer: -283372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 8:08 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 5, 7, 124, -1.\nAnswer: -14, -1, 5, 7, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1929, 2820, 3725, 4650, 5601, 6584?\n\"Answer: i**3 + i**2 + 881*i + 1046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -552 - -377. Suppose 5*z - 947 = -2937. Let r = k - z. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 126*c**2 - 209*c**5 + 162*c**2 - 96*c**2 + 9*c**2 wrt c?\nAnswer: -12540*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 560, 4 in decreasing order.\nAnswer: 560, 4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 4:15 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - ((-672)\/(-280))\/((-69)\/(-515)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 2) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 5*w - 14 = 0, 2*w = 4*v - 4 - 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/7)\/((-50)\/35).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7, -323, -5, -122 in ascending order.\nAnswer: -323, -122, -5, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 4*d**2 - d - 2. Suppose 2*t = -2*y - 2, y + 12 = -2*t - 3*y. Let p be a(t). Is p less than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xvppopxppppppo. What is prob of picking 2 x?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**32)\/(i*i**(-39)) assuming i is positive.\nAnswer: i**71","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 6 = 5*i - 22, 0 = -f - i + 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*s = -40*s + 19*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/58360 and 41\/1014005.\nAnswer: 8112040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -234.\nAnswer: -234, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*o**5 - 57*o**5 + 23*o**5 + (0*o**5 + o**5 + 0*o**5)*(-3 + 1 + 1)*(4 + 2 - 2) - 17*o**5 - 20*o**3 + 20*o**3.\nAnswer: -85*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 7*c**2 - 4*c - 9. Let j be t(4). Solve -j + 7 = 4*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*m = 5*m - 2, 0 = -y - 2*m + 4. Let k be (-2)\/(-1) - (y + -3). Solve 35 = -5*h + k*t, 0 = -h - 2*t + 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 10 = -18. Solve o + 0*o + 11 = s*b, 3*b - 12 = -3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/8)\/((-3)\/6)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.4 (b) 1\/5 (c) 5814 (d) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45 - (-38 - -44 - 52)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 3. Let t be p - 4\/(-16)*-4. Solve -5*h - 4*k + 13 = t, h - 6*h = 5*k - 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 3428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 7409 - 32089\nAnswer: -24680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 1386?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-8 - -4 - (-2 - 1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3817 and 4.\nAnswer: 4.3817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13901212 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 240116452?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - -10056224147016.2\nAnswer: 10056224147016.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**23\/x)\/x*x**(-3\/5)\/x*x*x\/x**(-15)*x*x**(4\/17) assuming x is positive.\nAnswer: x**(3199\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.0724 + -8.3724. Let t = -4 + 1. Put t, d, 1, -50 in ascending order.\nAnswer: -50, t, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/15*5\/13. Let i = 23.88 - 24. Let y = 0.28 - i. What is the third smallest value in x, 0.5, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d - 51*d - 4949700000 = 0. Round d to the nearest 1000000.\nAnswer: -141000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24548\/1*319\/1276.\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 3:19 AM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1066338 to the power of 1\/2, to the nearest integer?\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a century in months?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57737 - 6030. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 40 = 7*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -15*i + 7. Let v(r) = 61*r - 29. Calculate -9*q(u) - 2*v(u).\nAnswer: 13*u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 5*n - 37 + 64, n = a - 1 - 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, v: 3, q: 3, d: 2, k: 5, j: 1}. Give prob of picking 1 j and 1 k.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 2.49, 2\/5, -5, -3728, 3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 + 43 + -15 + 25.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -33. Let g = -12.8 + k. Which is the nearest to g? (a) 1 (b) 3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -690.29941 to the nearest ten.\nAnswer: -690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l**3 - 3*l + 6. Let y(m) = -8*m**3 + 0*m**2 + 1 + 16 - 9*m + 0*m**2. Let d(x) = 17*s(x) - 6*y(x). Find the second derivative of d(h) wrt h.\nAnswer: -18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*f**2 - 5*f**4 + 5*f**2 + (-2*f**2 + 2*f**2 - f**2)*(-4*f**2 - 3*f**2 + 2*f**2) + 4*f**4 + 10*f**4 + 7*f**4 - 2 + f**4 + 2.\nAnswer: 22*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192\/5 - 3\/5*q**3 - 51\/5*q**2 - 48*q = 0. Calculate q.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-16)\/9)\/(-4))\/(4\/6)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 8:53 PM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -7734 divided by 3\nAnswer: -2578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vlevvvvefeheeevefvv. Give prob of sequence effe.\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37\/(-2))\/(((-2)\/(-5))\/((20832\/210)\/(-124)))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -8693*j + 225. What are the prime factors of g(-1)?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 356\/5*h + 47526\/5 + 2\/15*h**2 = 0. What is h?\nAnswer: -267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -6*y. Let i(v) = 21*v. Let z(d) be the second derivative of d**3\/3 + d**2 - 19*d. Let p be z(-10). What is p*l(s) - 5*i(s)?\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 10:51 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39843146 to the nearest integer?\nAnswer: 6312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-40))\/((-5)\/(-12))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 491621 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: b\"What is the zth term of -2037, -2009, -1965, -1899, -1805, -1677?\n\"Answer: z**3 + 2*z**2 + 15*z - 2055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) 2 (c) -32 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - r = 24. Find the second derivative of -15*q + 12*q**5 + 2*q - r*q wrt q.\nAnswer: 240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-252)*140\/(-120))\/((-8)\/12)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -47, -3, 5, -6.\nAnswer: -47, -6, -5, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 2*q - 3*q + 4 = 0, -v - 3*q = -12 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 13*h**2 - 18*h - 72. Let a be f(-12). Solve -5*n + 3*y - 6*y + 20 = a, -2*n = -3*y - 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -155*i**3 - 50*i**2 - 193*i - 1. Is v(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -54.16 - -54.66. Let f(u) = -u**3 - 6*u**2 - u - 1. Let h be f(-6). Suppose -l = -h*l + 20. What is the second biggest value in l, -9, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.143 in 5, 0.4, 2, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5\/4 - 9*c**4 + 97*c**3 - 288*c**2 + 256*c.\nAnswer: c*(c - 16)**2*(c - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*n - 779 = 0, 7*n - 2*n + 785 = 2*t. List the prime factors of t.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 7:59 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of 3 + 1\/2*d**2 + 0*d. Let j(x) = -2*x. Calculate f(j(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57)\/27*((-4)\/2)\/(562\/2529).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2982, -5077, -7172?\nAnswer: -9267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 253*p**2 + 3986*p - 6127. Calculate v(-236).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -81*g - 3. Let k be a(-1). Suppose -x - 5*c = -3*c - k, 2*x - 158 = -3*c. Suppose 3*z - 6*z - 78 = -2*d, -2*d = -5*z - x. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -16\/5. Let x = 0.8 - -0.2. Is x < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2 = -5*u - 27, -5*n + 26 = 3*u. Solve n*s - 15 = 10*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 639*k**2 - 2 - 2*k + 3.\nAnswer: 639*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 8*n + 54. Let g(a) = -a**2 - 7*a - 53. Let f(b) = 4*g(b) + 3*w(b). Let y(h) be the first derivative of f(h). What is y(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {p: 1, u: 3, d: 1, r: 6, v: 2}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/70)\/(456\/(-171))*1\/(63\/15)?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 284 = -4*q - 3*c, c + 140 = 2*q. Is 2 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*q - 5747 + 1035. What is the highest common factor of q and 494?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2364, 2339, 2290, 2211, 2096, 1939, 1734?\n\"Answer: -n**3 - 6*n**2 + 2371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 20119.05l?\nAnswer: 20119050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o + 115. Calculate k(-31).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 7*g**2 + 2*g - 4. Let i(q) = 1. Calculate -4*i(v) - t(v).\nAnswer: -7*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 49553 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5668 and 3121651?\nAnswer: 1417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -335 by 2876.\nAnswer: -335\/2876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2106?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 4*m + 6. Let z be q(4). Suppose -3*i + 18 = z. Let n(u) = -i - u + 4. Let r(j) = -4*j**2. What is r(n(a))?\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + c**2 - c + 3. Let r be k(0). Let g be -2 - r*-1 - -35. Suppose -29 = -5*x - 5*q + g, 3 = q. What is the least common multiple of 16 and x?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1330304 - 314134?\nAnswer: -2144443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 19*l**3 - 3*l**2 - l + 1. Give a(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 40*f**2 - 280*f + 11. Let x be q(9). Solve -24*s - 7 = o - 27*s, 0 = x*o - 2*s + 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -256*u**2 + 5 + 11*u + 255*u**2 - 4*u. Suppose 0 = -7*h + 2*h - 15. Let l be (0 - 18\/h) + 2. Give i(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -35*r + 67. Let b(m) = 1. Let c(i) = -2*b(i) - j(i). What is the derivative of c(p) wrt p?\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 + 0.1. Suppose 0 = -2*k + 2 + 14. Let n(m) = m**3 - 8*m**2 - 5. Let g be n(k). Which is the biggest value? (a) x (b) g (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172451 is divided by 2103?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -166 (base 7) to base 4\nAnswer: -1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-7)\/(-70))\/((-12)\/158211). Let r = 1320 + b. What is the common denominator of 53\/20 and r?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + 35*d - 21. Let s be v(26). Suppose x + s - 13 = -5*t, 5*x - 25 = 0. Let n = 40 + t. Which is the nearest to n? (a) 1 (b) 3\/5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 4*z - 29 = -27, z + 27 = -5*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -203 (base 5) in base 14?\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -g**3\/3 + 7*g**2\/2 - 6*g - 3. Let h be p(5). Factor c + 0*c**2 - 2*c**5 + 0*c**5 - 3*c + 2*c**h - 4*c**2 + 4*c**3 + 2.\nAnswer: -2*(c - 1)**3*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f + 3329 - 6659 + 3330.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h + h + 2*h + 1 + (3 + 1 - 2)*(-5*h + 0*h - 7 - 2*h).\nAnswer: -15*h - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19577 is divided by 178.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {f: 4, q: 2, y: 3}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**3 + 5*d + 7. Let p(y) = -y**3 + y + 1. Give -n(k) + 5*p(k).\nAnswer: -7*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 93*m - 111 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 8. Let u = -4 + w. Let r be (u\/(-6))\/(4\/24). Solve 0 = 5*i - 3*z + 9, i - 9 = -4*z + r for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 9*d**3 + 0*d**2 + 0*d - 31 + 5\/12*d**5 + 125\/24*d**4 + 1\/72*d**6. Let m(a) be the third derivative of c(a). Factor m(j).\nAnswer: 5*(j + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-2)\/320*(-40)\/((-56)\/7)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22989352 and 496?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lvcvlcvcccccvccclc. What is prob of picking 1 v and 2 l?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1876 divided by -1.\nAnswer: -1876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -28? (a) -0.4 (b) 2\/17 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*r**5\/3 - 746*r**4\/3 + 1244*r**3\/3 + 3016*r**2\/3 - 3280*r\/3 - 128\/3 = 0. What is r?\nAnswer: -8, -2, -2\/53, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wkwo when four letters picked without replacement from waoawoakto.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -393 + 393 + 108*u**3 - 10*u**2 - 56*u**3.\nAnswer: 52*u**3 - 10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3920176)\/384960 - (-3)\/180.\nAnswer: -61\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*j - 23 = j, 3*j + 11 = 2*w. Let a be (-2)\/w*1\/2. Put -0.4, a, 0 in ascending order.\nAnswer: -0.4, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -37702 + 1?\nAnswer: -37701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -542 (base 12) to base 6.\nAnswer: -3322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 11:06 PM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w**2 - 11*w - 9. Let d(x) = x**2 + 4*x + 3. Let k(q) = 11*d(q) + 4*p(q). Find the first derivative of k(h) wrt h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -135.1 + 143. Let z = -2.71 + i. Let k = z + -0.19. What is the nearest to -1\/3 in 3, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5368*v - 80275. Determine b(15).\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2987422453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + -0.2407863.\nAnswer: 0.0592137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + -1)*(2 - 1). Suppose b*g = -2*g. Suppose 0*t = 4*t - 12. Solve 0 = a + 2*y - g*y - 12, -t*a = 4*y - 26 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of b**4 - 8*b**3\/3 - 6*b**2 + 61. Let v(q) = 0. Calculate q.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.637831288 rounded to five decimal places?\nAnswer: 0.63783","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -137, -199, -257, -311?\nAnswer: -361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, q: 6, e: 1, k: 4, z: 2}. Give prob of sequence kp.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -182, -705, -1692, -3239, -5442, -8397, -12200?\n\"Answer: -16*r**3 - 136*r**2 - 3*r - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 1. Let i(k) = 2 + 0 + 2*k**3 + 2. Let n(c) = i(c) - 4*q(c). Let n(g) = 0. What is g?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 885101506?\nAnswer: 2, 8539, 51827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18*-10*(-5)\/300.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z + 10*z + 5*z)*(-2 + 0 + 0) + z + 12 - 12.\nAnswer: -35*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.14 - 0.81. Let w = z - -1. Let m = 0.02 + 0.38. Which is the third smallest value? (a) m (b) 2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*((-7688)\/220)\/(-31) + (-17)\/1?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -5*h + 8. Let g = -1055\/7 - -151. Factor 0*i + g*i**h - 2\/7*i**3 + 0.\nAnswer: -2*i**2*(i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from llggggllllglglgglrl.\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -14315, -14263, -14211, -14159, -14107, -14055?\n\"Answer: 52*h - 14367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6440 (base 16) to base 6\nAnswer: -314452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-3)*36\/(-32)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43641434923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 3 + -11 + 5 + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d. Let h(p) = -21126*p. What is h(g(s))?\nAnswer: -42252*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/43))**13\/(((y\/(y**(-5\/6)\/y))\/y)\/y**(-38)) assuming y is positive.\nAnswer: y**(-10121\/258)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-10)*4\/8*16\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11300*l**3*v**3 + 2504*l**3 + l**2*v**3 + 967*l**2*v**2 - 2*l*v**3 - v**3 - 3*v + 539 wrt l.\nAnswer: -67800*v**3 + 15024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6a20 + 3246?\nAnswer: a166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in 0.021, 0.028, 2\/7, -1\/5?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -275322 divided by -6?\nAnswer: 45887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 601437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1190130 and 234614294.\nAnswer: 3519214410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -352, -707, -1064, -1423?\nAnswer: -1784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 112\/462*(-15)\/(-20) - 0.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256*k + 587*k - 16550 = 0 for k.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from snnttsnggstgntcs. Give prob of picking 1 c and 2 n.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 47*a**2 - 35*a + 124. What is the hundreds digit of q(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 2*s - 5*s + 15 = 0, -622*h - 45 = -617*h - 2*s - 3*s for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by (-2)\/4*(-180)\/18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by 1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 10*o - 36. Let a(g) = 7*g - 24. Let m(i) = 7*a(i) - 5*z(i). Let x be m(7). Suppose 2*r - 32 = -3*q + 6*r, q = -x*r - 21. Solve -2*u + q*u = 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*t = 4 - 2, 2 = -2*t. Suppose -g - 65 = 4*g + x*a, 4*g - 4*a + 20 = 0. List the prime factors of (34 - -2)\/4*(-69)\/g.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.1 rounded to zero dps?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -501*h**2*i + 3*h**2 + h*i - 70*h - 2*i wrt h.\nAnswer: -1002*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 78 + -28. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 128 + -59. Let z = -46 + m. Let i = z - 23.1. Which is smaller: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -42442 - -243031?\nAnswer: 200034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hth when three letters picked without replacement from hthhhhhhhhttththhh.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-49)\/((-833)\/1768) - 2*5\/(-2). Which is greater: -22 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -7*x - 1. Let j = 7 + -5. Let l = j + -3. Let k be l\/(3\/(0 + -3)). What is f(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -524, -1038, -1542, -2036?\n\"Answer: 5*h**2 - 529*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4069893 is divided by 313068?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1153 - 67 = 78*m + 228 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**4\/13 - 330*d**3\/13 - 13014*d**2\/13 + 27026*d\/13 - 13680\/13 = 0. What is d?\nAnswer: -95, -72, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3452 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 2513442 and 2513440 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4022 a factor of 214847196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 1, 13, 33, 61, 97?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 5771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -272 + 542. Suppose 5*g - 5*f = a, -3*g = g + f - 221. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 817, 3083, 6843, 12085, 18797, 26967, 36583, 47633?\nAnswer: 60105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 230204 by -233.\nAnswer: -988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 150\/(-6 + 8) - (0 - 1). Let a = h + 230. Does 18 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*l**3 + 1286*l + 4*l**2 - 1268*l - 99*l**3.\nAnswer: 13*l**3 + 4*l**2 + 18*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6 and 0.097818643501.\nAnswer: 6.097818643501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*j - 11*j + 15*j + 20*j - 13*j.\nAnswer: 32*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 26*f + 107. Let s be y(-5). Let g(i) = -8*i. Let d be g(-3). Let m = 28 - d. Solve 3*j - m = j + 2*a, -3*j + 5*a + s = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -143, 65, 565, 1477, 2921, 5017?\nAnswer: 7885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 51*p**2 - 107*p - 4. Let r be n(-53). What is the greatest common divisor of r and 7987?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -11\/14 (b) 9.5 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -66294566?\nAnswer: -66294564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*k = -14 - 406 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1168 - 1140. Solve 4*s + z = 20 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000309332255 rounded to 7 dps?\nAnswer: -0.0000309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*w - 5, -5 + 19 = 5*w + m. What is the second derivative of -u**2 - 6*u**w + 3*u + 0*u**2 + u**2 wrt u?\nAnswer: -36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3 - 6)*((20*z - 118 + 118)*(-93 + 295 + 160) - 2*z - 1 + 1) to the form v + h*z and give h.\nAnswer: -7238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1396173?\nAnswer: 3, 41, 11351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 556*k + 469 wrt k?\nAnswer: 556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -8*z**2. Let u(w) = -14*w + 3. Let a(i) = 21*i - 2. Let o(h) = 3*a(h) + 2*u(h). Calculate l(o(b)).\nAnswer: -9800*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*c - 4*w = 2460, -3*w - 1640 = -2*c. Suppose -4579 = -3*l - c. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -1365*r + 79. Is t(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3472 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9539578 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qcqq when four letters picked without replacement from {q: 11, c: 2}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-60))\/(2\/(-36)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 5*i**2 - 8*i - 6. Let g be b(-6). Suppose 0 = -5*x + g + 102. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-43 - ((-606224)\/7520 + 38)) + (-3)\/(-10)\nAnswer: -4\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 15*s**2 - 4*s + 7. What is y(15)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 792?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3134300 - 12?\nAnswer: -3134312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38479 is divided by 381.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 74.3257ml?\nAnswer: 0.0743257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ghg when three letters picked without replacement from hggghgggggg.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3131128 is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)*1 + sqrt(11) + (sqrt(121) - (2*sqrt(121) + sqrt(121) + sqrt(121)))\/sqrt(11) + sqrt(99)*-5*2 + (-5 + 2 + (-2*sqrt(1584))**2 + sqrt(1584))*1.\nAnswer: -17*sqrt(11) + 6333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/9, 3, 2\/7, 1, 2\/25, 5, 0.38?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64 - 39. Let o be (-111)\/(-7) + ((-45)\/(-21) - 3). Calculate the highest common factor of n and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.992 - 4.392. Let x be (-6)\/8 - 27\/(-4). Let b be (-12)\/16*(-4)\/x. What is the closest to b in m, 0.04, 2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.2, 2.4, -85, -5 in increasing order.\nAnswer: -85, -5, 0.2, 0.5, 2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.08959 years in months?\nAnswer: 733.07508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = k. Let w be ((-4)\/8*k)\/2. Suppose 5*b - 13 - 2 = w. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 5*j + 4. Let m be n(6). Let r(b) = -b - 6. Let f(l) = -3 - 8 - 7 + 16. Let i = -14 + 19. Calculate i*f(w) + m*r(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1.1, 2\/17, -0.2, -8\/17, -5 in descending order.\nAnswer: 1, 2\/17, -0.2, -8\/17, -1.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 147252, 145040, 141364, 136230, 129644, 121612?\n\"Answer: b**3 - 738*b**2 - 5*b + 147994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 12*f**2 - 13*f - 20. Let g be n(-11). Suppose w = 5*w - g*w. Suppose 4*d - 3*d - 23 = w. List the prime factors of d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 75?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*332.\nAnswer: 1328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9136040 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 45047053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -37, -75, -113, -151, -189?\nAnswer: -227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iibibsibsi. What is prob of sequence bis?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-31))\/(9*12\/54*-2)\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -168 + -76e?\nAnswer: -8d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a week in hours?\nAnswer: 196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 6 = 0, 23*y - 8 = 19*y + 4*i for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 411427 = -121729 + 494895. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/8*(1 - -41987). Suppose -4*f - 1189 + 32697 = 3*u, 3*f + q = 2*u. Round u to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m + 5*k + 22, -8117*m + 18 = -8121*m - k for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29775386*d**3*t + 153*d**2*t - 1534*d**2 + 8*d*t + 2*d + t wrt d?\nAnswer: -178652316*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(640) - (sqrt(640) - (sqrt(640) + 3*1*sqrt(640))))\/(1*-2*sqrt(5) + 2*sqrt(500)).\nAnswer: 16*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 739095991.\nAnswer: 19, 38899789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f + 10 - 8 - 2*f - 2*f**3 to the form u*f + q*f**2 + s + h*f**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/16924 + -33875\/152316. Let z be ((-6)\/38)\/((-24)\/16). Which is the closest to 27? (a) s (b) -0.2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -o**6\/840 - 11*o**5\/420 - 5*o**4\/24 - 25*o**3\/42 - 44*o**2. Factor a(b).\nAnswer: -(b + 1)*(b + 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1155411*q**6 + 649751*q**2 - 2*q.\nAnswer: -138649320*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 a factor of 3401148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 60\/16978069?\nAnswer: 60\/16978069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*z - z - z)*(z**2 - 3*z**2 + z**2) + 4*z**3 - z**3 - 4*z**3 to the form y*z**3 + h + g*z + d*z**2 and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*p + 792 = -46*p. Let z be p\/(-748) + -2*(-21)\/(-510). What is the smallest value in 22, z, -3, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2. Let n(d) = 3*d**2 - 2*d. Suppose -6 = 3*v - 0. Let s(i) = -35*i**2 + 25*i. Let h(m) = v*s(m) - 25*n(m). Give k(h(a)).\nAnswer: -25*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**2 - 4. Let x be u(-2). Let w = x + 15. Solve a = 5*a + 5*s + 6, 10 = -a + w*s for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 4. What are the prime factors of ((-54)\/f)\/((-3)\/15)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(176) + -5 + (1 + sqrt(176))*-1 + 5)**2 - (sqrt(396)\/(2*sqrt(9)) - sqrt(396)*-2)**2.\nAnswer: -1154 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11020020 (base 3) in base 10?\nAnswer: -3084","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -3\/10, -5, 0.37, -1, -4\/13?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + 24. Let h(v) = 3*v - 3. What is h(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -5 - (12 - (5 - -26))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1248876ml?\nAnswer: 0.0001248876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1608*u**3*v**3 + 2*u**3*v**2 + 424*u**3 - 2*u**2*v - 14*u*v**3 - 3*u*v**2 - 10*u*v wrt v.\nAnswer: -9648*u**3 - 84*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 3*v + 5*j + 73, -3*v - 3*j + 99 = 0. Let x be (v - 1 - -1) + 1. Let g = x - 23. 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: Find the second derivative of -2407*a**3 + a**2 - 579*a.\nAnswer: -14442*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 not equal to 10568\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 728 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**4\/5 + 283*d**3\/5 - 148758*d**2\/5 - 29808*d = 0 for d.\nAnswer: -552, -1, 0, 270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 264*v**2\/5 + 9291*v - 1584\/5 = 0. Calculate v.\nAnswer: -176, 3\/88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44043350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -4 (b) 0 (c) 5 (d) 306 (e) 1064 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*a**2 + 4885*a + 14385.\nAnswer: 5*(a + 3)*(6*a + 959)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3303 + -3308. Let a(c) = -7*c - 3. Let j(v) = -6*v - 4. Determine g*a(u) + 4*j(u).\nAnswer: 11*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 4. Let f(g) = -g**2 + 13*g - 6. Let r be f(12). Suppose 5*v = -m, 5*m = 3*v - r*v. Give k(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6952268?\nAnswer: 2, 1738067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2002 (base 3) to base 9.\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**5 + 8*p**4 + 4*p**3 - 8*p**2 - 6*p.\nAnswer: 2*p*(p - 1)*(p + 1)**2*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -1\/5, 1, -48498, 11\/6?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 14*k + 3. Let q be n(-2). Let u = 9 + q. Let v = -7 - u. What is the remainder when 17 is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1.906784us?\nAnswer: 0.001906784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 68139117 to the power of 1\/3, to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u**2 + 18*u**2 - 44*u**2 + 7*u**2.\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140 = 11*o - 12 - 57 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -225*q**3*t**2 + 190*q**2*t**2 + 3*q**2*t + q*t**2 - 230*q - 610*t**2 wrt q?\nAnswer: -1350*q*t**2 + 380*t**2 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.042 * 0.273.\nAnswer: -0.011466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -150.2378313 - -3?\nAnswer: -147.2378313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -104 + 111. What are the prime factors of (40\/32 + m)\/((-2)\/(-56))?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25906523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4814921 weeks in minutes?\nAnswer: 4853.440368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 7*c**2 - 6*c + 2. Let r = -70 + 60. Let t(d) = -d**3 - 10*d**2 + 2*d + 14. Let o be t(r). Let y be u(o). Solve -4 = i - y for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 greater than -76\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*b + 17 = 0, 6 = 5*b - 2*b. Suppose 9*s - a*s - 8 = 0. Solve y + 0*y - s = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2986.\nAnswer: 2, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.52 rounded to one dp?\nAnswer: -6.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - z - 75. Let m be x(0). Let o = m + 105. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20 + 3132\/81)\/(10 - 99\/12)\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.4, -2\/3, -730?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1542.51297 milliseconds to days.\nAnswer: 0.000017853159375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12 - 426?\nAnswer: -438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(30) - 6*(sqrt(480) - sqrt(30))))\/(((sqrt(126)*1)\/sqrt(3))\/sqrt(7)))**2.\nAnswer: 1445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 26*c**2 - 29*c - 46. Calculate r(-27).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(1350\/(-9))*-6*20*11\/88.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 3*s**2 + s + 20. Let q be m(8). Suppose 3*l + q = 9*l. What are the prime factors of l?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232057 is divided by 79.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1030\/7)\/(-1 - 8\/(-7)).\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**3 + 8482 + 3*x**3 - 8482.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.7 + -8.7. Let h = -388.6 + 388.6. Put m, h, 3\/8, -5 in ascending order.\nAnswer: m, -5, h, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1508300 rounded to the nearest ten thousand?\nAnswer: 1510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.3, 0.1, 19, 9167, -1.6 in ascending order.\nAnswer: -3, -1.6, 0.1, 0.3, 19, 9167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-45)*(-15)\/4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -309 - -309.396. Let z = 0.004 + o. What is the third biggest value in 4, 3, z, 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 9.08. Let q = v - -0.02. Which is the biggest value? (a) q (b) 2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 - 23 = 2*m. Solve -9 = -0*j - m*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5323135 - -1976135. What is a rounded to the nearest 100000?\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -121, -6\/23 in ascending order.\nAnswer: -121, -6\/23, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -173.0192 + 160.017. Let w = -12.98 - 0.02. Let s = w - n. Round s to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 + 13428*u**2 - 11208780*u - 101969604.\nAnswer: -4*(u - 1683)**2*(u + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.8 + -4. Let u = p - 1.2. Which is the closest to 3? (a) u (b) -2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/4 + 0)*(0 + 1). Let g be 1496\/72 + y\/9. Solve z + g = 5*z - l, -3 = 3*z + 3*l for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50 + -46. Suppose -x + 17 + 47 = a*r, 4*x - 4*r = 156. Is 15 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 6.84. Let k = w - -0.08. Let p = k - -0.03. Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*n + 8*n - 26*n)*(-7 + 7 - 10)*(21*n + 23*n + 0*n) in the form f*n + l + c*n**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1659747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -2, -4, 214 in descending order.\nAnswer: 214, 3, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.397983 tonnes in kilograms?\nAnswer: 4397.983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 720480 and 1488992.\nAnswer: 22334880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5220.261nm to kilometers.\nAnswer: 0.000000005220261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 280 and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -60*n + 29*n + 76*n**2 + 31*n in the form c*n**2 + p*n + u and give c.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 2*z - 1, 5*z - 276 = -3*w - 284 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -83077252751 from -562.5.\nAnswer: 83077252188.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by -37.\nAnswer: 28\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 632?\nAnswer: 1\/632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a - 7. Let o(k) = 12*k + 22. Let f(p) = 8*j(p) + 3*o(p). Let x(q) = -7*q**2. What is f(x(l))?\nAnswer: 28*l**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 11:06 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 11*w**2 + w + 16. Suppose 0 = -p + 2*p - 1, -4*n = 4*p + 316. Let l be 3\/7 + n\/7. Let x be q(l). Solve 0 = -5*j - 0 - x for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 260.9 + -250.9. What is the fourth biggest value in -7, -0.07, s, -1\/2, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23621.7 + -101870.904.\nAnswer: -125492.604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-212)\/72 + (-4)\/(-12)*9. Let h(g) be the third derivative of -t*g**4 + 0*g + 2*g**2 - 2\/9*g**3 - 1\/180*g**5 + 0. Factor h(s).\nAnswer: -(s + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i - 184 = -33*i. Solve 3*n = p - i, -29*n + 24*n = -2*p + 8 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*c - 0 - 0. Let d(f) = f + 1. Let j be d(c). Let m = -2 + 5. Solve -m = k - j for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48343*q + 16124*q - 65321 + 65321 + (4 - 4 + q)*(0 - 3 + 5) to the form x + v*q and give v.\nAnswer: -32217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6922*h**2*l**2 + 7*h**2*l + 2*h**2 + 8*h*l**2 + 104*h + l**2 + 54 wrt l?\nAnswer: -13844*h**2 + 16*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -6, 3, 1, 187, -2 in descending order.\nAnswer: 187, 4, 3, 1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 2*l + 6, 4*l = -3*i + 7*i - 24. Calculate the lowest common multiple of 4 + (0\/(-3) - i) and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 89513.8897 + -89531. Let f = -307 + 289.9. Let t = f - s. Round t to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -u**2\/2 - 2*u + 5. Let t be d(-4). Solve -n + 0*n - 2*r - 2 = 0, -2 = -2*n + t*r for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3932974?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2*v)*(38*v - 20*v + 20*v)*(3 - 5 - 1)*((-9 + 4*v + 9)*(4 + 0 - 1) + 4*v - 5*v - v) to the form o + l*v**3 + h*v**2 + j*v and give l.\nAnswer: 2280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28490?\nAnswer: 2, 5, 7, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -7*o**3 + 5*o**2 - 3*o - 3. Let s(k) = 15*k**3 - 10*k**2 + 5*k + 7. Let i(z) = -9*l(z) - 4*s(z). Let n(m) = m**3 - m**2 + m. Give i(x) - 5*n(x).\nAnswer: -2*x**3 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -14*i**3 - 6*i**2 + 10*i. Let q(b) = -14*b**3 - 5*b**2 + 10*b. Let f(h) = 6*q(h) - 5*x(h). Find the second derivative of f(p) wrt p.\nAnswer: -84*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -339 - ((-18)\/4 + (-51)\/34). Let b = c + 335. Solve b*n + 6 = -2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -390*w**2 + 4 - 4 - 228*w**2.\nAnswer: -618*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1266 - 900. Suppose c + n = 4*c. Is 9\/6*c\/3 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 114 - 45)*(-5*p - 2*p + 3*p).\nAnswer: 608*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 2:12 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 343843, 687583, 1031213, 1374733, 1718143, 2061443?\nAnswer: 2404633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1))**(-38) assuming k is positive.\nAnswer: k**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 33*p**2 + 20*p + 20. Is 35 a factor of t(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6580434 by -42.\nAnswer: -156677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 28*q**2 + 21*q - 126. What is the lowest common multiple of y(6) and 10?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**4\/2 + 3*f**3\/2 - f**2\/2 - 3*f\/2 + 1 = 0. What is f?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -17574?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 4*u, 95 = 5*x - 2*u. Solve 0 = -x*r + 17*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -11*g**2 - 2*g + 3. Let z be c(2). Let l be -27 + 0 + (0 - 0). Let y = l - z. Calculate the remainder when 48 is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 5:19 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 7 + 11*w + w**2 + 1 - w**3 - 15. Let o be p(3). Solve -3*k = -v + 11, -o*v + 3*k + 8 = -k for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2*f - 76, 0 = 3*f + 5*r - 3*r - 98. Suppose 2*w - f = -4*u, -2*w + 11 = -2*u + 43. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 40 = -5*i, 2*i + 35 = 7*i - 4*n. Let c(o) = -14*o**2 - 773*o - 117. Let x be c(-55). What is the highest common factor of i and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -6*r + 3. Let c be ((-3)\/6)\/(1\/(-2)). Let d(p) = -p + 1. Let a(w) = c*x(w) - 3*d(w). Let q be a(-2). Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, -4, 682, 4, 1760?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/65)\/((30\/175)\/6)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*p**2 + 2*p**3 - 16*p**2)*(6 - 6 - 2*p).\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4101041133 (base 5) to base 11\nAnswer: -4705967","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -109\/13046 + 2624657\/15903074. Let v = 469 - 10788\/23. Let c = r + v. Which is greater: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 223? (a) 5 (b) 3 (c) 4 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l - 38 - 52 + 52*l - 51*l as b + v*l and give b.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.28*1407.\nAnswer: -393.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -13920410 to the nearest 100000.\nAnswer: -13900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 93.2124m?\nAnswer: 93212.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y + 4 - 244 = 0. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2799985 is divided by 353?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2940, -2631, -2290, -1911, -1488, -1015, -486, 105?\nAnswer: 764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2 + 73400*o - 1396405.\nAnswer: 5*(o - 19)*(o + 14699)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (60\/70)\/((-2)\/(-7)). Suppose f*v - 2*v - 40 = 0. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**26*q)\/q**(-21))\/(q\/q**21*q*q**(2\/19)))**(2\/9) assuming q is positive.\nAnswer: q**(2542\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74, -214, -454, -800, -1258, -1834, -2534, -3364?\nAnswer: -4330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-3)\/9)\/((-5)\/150)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + -0.7. Let v be (-2)\/7 + (-1)\/(-28). Let i be 1888\/(-4576) + (-6)\/(-26). What is the closest to v in i, -0.2, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g - 70. Let w be j(18). Calculate the highest common factor of w and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*n + 15, 3 = r - 0*n + 3*n. Let m be r*(-4 + 3 - -2). Solve 6*y**3 - 2*y**4 + m*y**2 - y**4 + y**2 - y**2 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 243 and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 58157 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by -1827.\nAnswer: 1\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8130757629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 83431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/((h\/h**0)\/h))*h**(-11))**(-37)*(h\/(h\/(h*h\/h**0)))**(-8)*h**(1\/9)*h**7 assuming h is positive.\nAnswer: h**(3583\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 + -5. Is o a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**5 + 163*a**4 - 4437*a**3 + 19309*a**2 - 25954*a + 10920 = 0. Calculate a.\nAnswer: 1, 3, 28, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + j**2 + 3. Let k be n(-2). What are the prime factors of 68 - (k - (-4 - -3))?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -5, 6, 5, -2479 in descending order.\nAnswer: 6, 5, -5, -8, -2479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 174*g - 806. Let a be o(5). Calculate the greatest common factor of a and 9728.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 718, 933, 936, 427, -894, -3327?\nAnswer: -7172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78, 362, 832, 1488?\nAnswer: 2330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**7\/f)\/(f\/(f\/((f**(-8)\/f)\/f*f))))\/(f*f**2)**(6\/17))**(-47) assuming f is positive.\nAnswer: f**(-11139\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.3 - -5.7. Let y = x - 6.9. Let z = -0.03 - -0.43. Which is the closest to 1\/2? (a) z (b) y (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 109.3 + -109. Sort -3, y, -0.3, 2 in ascending order.\nAnswer: -3, -0.3, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -18*i - 10. Let d be r(-2). Let n = 223 - d. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 611 and 17343235?\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 1224736?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1 + sqrt(125) + -1)**2 + ((-1*sqrt(125) + 0 - sqrt(125)) + (sqrt(125) - (sqrt(125) + sqrt(125)*1 + 1)))**2.\nAnswer: 40*sqrt(5) + 1252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 12 = 6*v. What is the second derivative of 4*t + 5*t - t**3 - v*t**3 - 6*t wrt t?\nAnswer: -30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -l**3\/3 - 40*l. Let c(s) = 19*s**2. Determine u(c(m)).\nAnswer: -38*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2942 - 52831\/18. Calculate the common denominator of 133\/24 and l.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 913145 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-18))\/((-625)\/21000).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*i**3 - 13*i**3 - 13*i**3.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26453 + 26480. Calculate the remainder when 7798 is divided by l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234703.95ns in minutes?\nAnswer: 0.0000039117325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -7*a - 5. Let d(f) = -11*f - 8. Let g(m) = 5*d(m) - 8*n(m). Let k(o) be the first derivative of 5*o**3\/3 - 9. Calculate k(g(y)).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*k + 4 = 0, 5*l + 2*k = l + 24. Let s = 1 + -3. Let q = -3\/16 + -1\/16. What is the nearest to q in -1\/6, s, l?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/((-4536)\/(-18))*(-1)\/(5\/75).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 123 - -4?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -g**4\/6 - 7*g**3\/3 + 3*g. Suppose 0 = -0*o + 4*o - 8. Let p(n) = 3*n + 9*n + n**o - 3*n. Give 5*i(c) + 8*p(c).\nAnswer: -2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**2. Let r(p) = -73*p + 4. Let o(g) = -1. Let q(w) = -72*w - 2. Let u(t) = -5*o(t) + q(t). Let k(j) = 3*r(j) - 4*u(j). Calculate k(z(y)).\nAnswer: -138*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 + (103 - 116 - (-2 + 1 + -9))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 754*j - 19653 = 40970 - 9852 + 22367 for j.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1424230 + -34?\nAnswer: -1424314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/6131288 and 57\/20?\nAnswer: 30656440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 93016 and 1078?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12611234 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 240763?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 9, u: 10}. What is prob of sequence sss?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2139?\nAnswer: 3, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -441 + 65. Let q = -303 - a. What is the lowest common multiple of q and 4?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 10*z**2 + 9*z + 9. Let x be n(-9). Suppose x + 15 = 6*b. Solve 5 = s + b*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -52 - 13. Let r = h - -67. Which is the nearest to 0.06? (a) 5\/2 (b) -5\/3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37032 and 27774?\nAnswer: 111096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - -9. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43101 (base 5) to base 6\nAnswer: 21233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/2*3240\/31590 - (-1 - 371\/(-299))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 164 from -3.\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 7:26 PM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1023082 - 668061. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) -0.1 (b) -72 (c) -1 (d) 63 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 48\/727, 0, 4\/5, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1958226111*t - 7*t**2 + t**2 - 1958226111*t + 5*t**2 + 0*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51103*g + 102305*g - 51197*g.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**3 + 3*j**2 - j - 2. Let k be r(-2). Suppose -a + 34*y - 33*y - 212 = 0, y = 1. Let s = 211 + a. Sort 6, k, s.\nAnswer: k, s, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 177*c + 346*c + 655*c - 3*c**2 as w*c + p*c**2 + z and give w.\nAnswer: 1178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -11 (b) 1009 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 9 + (-5 - -4) + 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 61567652 to the power of 1\/2, to the nearest integer?\nAnswer: 7847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -30b33a + -b?\nAnswer: -30b348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 + 29. Let j(w) be the third derivative of w**5\/30 + 13*w**4\/24 - 17*w**3\/6 + 497*w**2. Let q(y) = -y**2 - 6*y + 8. What is z*j(m) + 13*q(m)?\nAnswer: -m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-18)\/(-15)*6070\/(-30))\/((-7)\/315)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4*g = 2*o + 16, 4*o = -3*g + 12. Let q be (-16)\/220*(-10)\/4. Is o greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 5767 - 5783. Factor 2*h + 1\/2*h**4 + s*h**2 + 5\/2*h**3 + 0.\nAnswer: h*(h + 1)*(h + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g - 14. Let l be n(-8). Let x = -16 + l. Let p = -14 - x. Calculate the greatest common factor of p and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02729 to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 16. Let t(y) be the third derivative of 1\/210*y**7 + 1\/336*y**8 - 1\/60*y**5 + 0*y - 1\/120*y**6 + 0*y**3 - g*y**2 + 0*y**4 + 0. Factor t(d).\nAnswer: d**2*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**3 - 4*s**2 + 2*s + 1. Calculate p(2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/143 and 32\/861211.\nAnswer: 9473321","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 14*c**2 - 14*c - 16. Let y be g(-13). Let m = y - 111. Is -114 equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -614.1939 rounded to 1 decimal place?\nAnswer: -614.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-1)*((-60)\/18)\/(-10). Let h = -8.2 + 7.9. What is the closest to h in -3, 4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 5*p**3 + 10*p**2 + 9*p + 2. Let m be i(6). Is m bigger than 1495?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-222)\/148)\/((-6)\/(-20)). Let b(x) be the first derivative of -3*x**2 - 9*x + 1. What is the units digit of b(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10656 by 96.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3.3, -0.48, -496, -2\/21, 0.2?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 9) + -58 + 61 - 136.\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2229 - -15605\/7. Which is the closest to p? (a) 49 (b) 0.3 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 174*c**3 - 26*c**2 + 90*c - 19. What is the thousands digit of j(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 23. Let s = 11 + u. What is the remainder when 71 is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 26*a - 94. Let f be p(11). Calculate the highest common divisor of f and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*t)*(-2 - 1 + 2) - 222*t + 108*t + 100*t.\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(((a*a\/a**(-8))\/a)\/a*a))*a)\/a**8*((a\/((a\/(a**(-2\/11)\/a))\/a))\/a*a)\/(a\/a**(4\/5)) assuming a is positive.\nAnswer: a**(89\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (2 - 12 - (581\/(-16) - -20))?\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4626902 * 7.2.\nAnswer: -33313694.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4134617687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 10*h**2 + 16*h + 1. Calculate b(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 16*y**4 - 721*y**3 + 1396*y**2 + 1267*y. Let k(p) = -23*p**4 + 1083*p**3 - 2093*p**2 - 1901*p. Let t(v) = 11*d(v) + 7*k(v). Factor t(z).\nAnswer: 5*z*(z - 21)*(z - 3)*(3*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9531*b**3 + 340*b**2 - 9531*b**3 - 155*b**4 wrt b?\nAnswer: -3720*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -107860000 to the nearest one million.\nAnswer: -108000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2708 divided by -2708\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -6\/41, 303, -17, 3, 24?\nAnswer: -6\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7a5 (base 14) to base 4\nAnswer: 113231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 382 divided by 301?\nAnswer: 382\/301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o, 50*c - 51*c + 24 = 4*o. Solve -14*p - c*p + 190 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -0.144, 0.31, 1?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 659\/1115 - -2\/223. Which is the second biggest value? (a) -3\/2 (b) 3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5145*m - 5295*m = -3600 for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -8 - (-270)\/20 - 5. Which is the nearest to g? (a) 3 (b) -2\/3 (c) 0.3 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1052 and 20.\nAnswer: 5260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s - 1. Let d(a) = 4*a - 2. Let q(r) = 8*b(r) - 3*d(r). Suppose f = 4 - 2. Suppose 5*l + 6 = -2*m, 2*m + 4*l - f*l = 0. What is q(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16 - -2d2e?\nAnswer: 2d18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33517603.\nAnswer: 7, 31, 154459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -93, 3, -1, -6.\nAnswer: -93, -6, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1e (base 16) in base 3?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 10*k**2 - 8*k - 10. Let t be g(9). Let p(r) = -240*r + 5. Let o be p(t). What is the greatest common divisor of o and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**4\/2 - k**3\/2 + 219*k**2\/2 - 971*k\/2 - 595 = 0. What is k?\nAnswer: -17, -1, 7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*o - 69 + 264*o**3 + 0*o**2 + 0*o**2 + 19*o**3 - 15*o wrt o.\nAnswer: 1698*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -768*j + 1565*j - 741*j.\nAnswer: 56*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -181444974 divided by 4\nAnswer: -90722487\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -410 - -423. Suppose -v - 3924 = 11*c - o*c, -1969 = -c + 4*v. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*m = 128*m - 48 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18 - -2094?\nAnswer: 20b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73616 = -16*f + 299920. Suppose -20*k + 2*k + f = 0. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4 = -6*y. Solve -y*p = -1 - 9 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - 1. What is the units digit of (-2 - -4) + t - -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14595 to the power of 1\/2, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(608) - sqrt(608)*-1) + (sqrt(38) - (sqrt(114)*4)\/sqrt(3)))\/(5*(4*sqrt(10)\/sqrt(5) + -4*-2*sqrt(2))).\nAnswer: sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 11*y**2 - 17*y + 12. Let a be d(-9). Suppose 1 = s + 2, -a*s = -3*h + 174. What are the prime factors of h?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-57030)\/(-1200) - 48) + ((-2)\/(-16))\/(-1).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 2 - -1 - (18 - 21)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 12 = 3*q. What is the remainder when 9 is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1589048 - 3*j - 1589048.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*x + 9*x + 36. Let t = -868 + 1309. Calculate the remainder when t is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -64, -0.07, 0.3, 0.5, -14?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4 = 14. Let r be -98 - (-2 + 5\/j). Let o = -46 - r. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/10*(-1)\/(-2). Let y be (-1)\/6*(-6 - -8). Sort c, -0.3, y.\nAnswer: y, -0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 1)*(d**3 + 4*d**3 + 3*d**3).\nAnswer: 24*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 96879420 divided by -1356?\nAnswer: -71445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -16562*u**2. Let w(b) = -10*b**2. What is w(x(p))?\nAnswer: -2742998440*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*j + 57 - 15. Put -2\/19, j, -0.2 in increasing order.\nAnswer: j, -0.2, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*p + p - 3*p)*(3 + 3 - 4)*(-53108*p - 47341*p + 7819*p) to the form g + u*p**2 + n*p and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 284369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 227248637?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(0 - o + 0) + (-2 + o + 2)*(-2 + 4 + 0) - 9 + 9 - 48*o.\nAnswer: -47*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -444*y + 163*y - 15 + 274*y. Let k be ((-4)\/5)\/(2\/(-20)). Let x(f) = 11*f + 23. Determine k*d(l) + 5*x(l).\nAnswer: -l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 41934.81396 rounded to zero decimal places?\nAnswer: 41935","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 538579 is divided by 179506?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 67*s - 32. Let v(b) = -44*b + 20. Let i(o) = 8*v(o) + 5*z(o). Let a(j) = -4*j - 3*j + 3*j + 0*j. Determine a(i(f)).\nAnswer: 68*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4 (b) -0.3 (c) -0.01 (d) 1457 (e) 2\/7 (f) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -240.7 - -241.2. What is the second biggest value in 5, 4\/5, u, -1\/62?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k + 39*k + 29*k + 32*k - 37*k.\nAnswer: 67*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 17*s**2 - 15*s + 16. Let i(q) = q**2 - 5*q - 52. Let u be i(-4). Let n be t(u). Solve -2*j + 8 = -n*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -63*z**2 - 64*z**3 - 36*z + 0*z + 36*z wrt z?\nAnswer: -384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -83 - (-1 - 13 - (0 + (32 - 45)))?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 57*s - 58. Let z(q) = -4*q + 75. Let w be z(17). What is the tens digit of t(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 5*b**4\/4 + 11*b**2\/2 + 5*b. Let h(u) be the second derivative of u**4\/3 + 3*u**2\/2 - u. Determine -6*c(p) + 22*h(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 6*f = -1368. Suppose -4*p - f = -7*p. Is 22 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9229 = -152*d - 46*d + 6603971. List the prime factors of d.\nAnswer: 2, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 0*k + 0*k**5 + 0*k**4 + 0*k**2 + 1\/7*k**7 - 3 + 0*k**6 + 1\/3*k**3. What is the third derivative of q(n) wrt n?\nAnswer: 120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from pephhpphepepep.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by ((-12)\/10)\/(((-20)\/75)\/2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 0, 374, -2, -4, 3 in increasing order.\nAnswer: -5, -4, -3, -2, 0, 3, 374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2*r = -18, r - 2 = 3*v - 0. Suppose 7*o - 20 = 2*o. Let x = o + v. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*c = 15259 - 152155. Suppose -11*w - w + c = 0. Is w a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -3*m - 108000006, 0 = -7*m + 3*m - 8. Suppose -2*a = -0*a + p. Round a to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6724 - -127\nAnswer: -6597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*d - 514*d**3 - 61*d.\nAnswer: -514*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**5 + 61*c**4 - 3*c**2 + 32*c + 21?\nAnswer: 40*c**3 + 732*c**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15.1 - 15. Let q = 1.9 + w. Let x be 38\/78 + 2\/(-6). What is the closest to -2\/7 in q, x, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1597724 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 m be 3\/6 + (-34)\/4. Let s(z) = z**2 + 12*z + 11. Let g be s(-12). Let d = g + m. Solve 4*o - d = -19 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28520*q**5 - 2*q**2 + 4094*q?\nAnswer: 1711200*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7.745479 days?\nAnswer: 669209385600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5\/(55\/19162) + 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-1)*((-11050)\/(-20))\/(-13). Let n = -3 - o. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 193 - 85. Suppose -2*d = -1136 + s. Suppose -3*k - 499 = -4*o, -4*k + 2*k = 4*o - d. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17391299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1051.673t to milligrams.\nAnswer: 1051673000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmt when three letters picked without replacement from {n: 4, m: 6, g: 4, t: 5}.\nAnswer: 25\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9291.69 litres in millilitres?\nAnswer: 9291690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0*p - 4 = 0. Find the second derivative of 37*g + 0*g + 25*g**p - 4*g - 37*g**4 wrt g.\nAnswer: -144*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -190, 9, 4, -3, 0, 5 in increasing order.\nAnswer: -190, -3, -1, 0, 4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of k**7\/50 - 19*k**6\/200 + 2*k**5\/25 + k**4\/10 + 7*k**2. Determine b so that z(b) = 0.\nAnswer: -2\/7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 + 100*q**2 - 103*q**2 - 18 to j + g*q + v*q**2 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 117072?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 23690 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 841091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5 - 1 = 0. Suppose 2*d = 9 + 11. Suppose 5*s - 25 = -d. Put o, s, -3 in descending order.\nAnswer: s, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v + 29. Let f be l(-13). Suppose 7 = 5*b - 0*i - f*i, 0 = 2*b - 4*i. Let t be ((-32)\/(-20))\/((-6)\/(-15)). Solve -t = -3*a + b for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -36 in 2, -1993, -2\/5, 75?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 14. Let u be 6\/r*64\/(-6). Suppose -l - 10 = 2*a - 7*a, 2*l - a = u. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3363*h*k**3*l**4 + h*k**2 - 2*h*l**3 + 5*k**3*l - 12*k**3 - 7*k*l - 2*l wrt l.\nAnswer: -40356*h*k**3*l**2 - 12*h*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -3*y - c - 4, 0 = -5*y - 3*c + 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 258.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a744 (base 12) in base 10?\nAnswer: 39076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 62386655 to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-156 + 154 - 2*w - 9*w)*(-7*w - 2*w**2 - 24 - 21 + 43) + 0*w**2 + 0*w**2 + w**3 as x*w + z + t*w**2 + h*w**3 and give t.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3996, -4061, -4156, -4275, -4412?\nAnswer: -4561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 11*f = -8. Let c be 3\/12 + 15\/f. Suppose -z + 6*s - c*s - 1 = 0, -z - 2*s + 3 = 0. What is the least common multiple of 7 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ltkytyig. Give prob of picking 2 t and 1 g.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-10 + 15) - (3 + (4 - 3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 47*r - 6254. Determine y(106).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 879*a - 8. Let u(j) = 293*j - 3. Calculate -3*p(f) + 8*u(f).\nAnswer: -293*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-4 + sqrt(684)*2 + 0) + (5*(sqrt(684) + 1 + sqrt(684)) + sqrt(684) - sqrt(684)*-1*-3))**2.\nAnswer: -1392*sqrt(19) + 11785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**2 - 12*v + 1. Is r(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -5*z + 160, -5*t + 124 = 5*z - t. Let l(j) = -55*j + 4. Let o be l(-4). Calculate the greatest common divisor of z and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 938442 is divided by 1235?\nAnswer: 1077","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -1. What is the third smallest value in -1\/5, 1, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 238, 2 in decreasing order.\nAnswer: 238, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in 2\/7, 0, 1\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 - 3 + 12 + 61 + 6*f**3 + 0*f**2.\nAnswer: 6*f**3 - f**2 + 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*c + 1583 - 241 = -558 for c.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n - 10. Let s be j(8). Suppose 0 = -5*f + 6*f - s. Let b be 0\/(0\/2 + -1). Solve 0 = -2*m - b*m - f for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 7*v**2 + 4*v - 14. Let l be f(-6). What is the remainder when 38 is divided by (l - 12\/(-5))*55?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o\/o**1)\/o))\/o)\/o*o*o*o**2 assuming o is positive.\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1506\/31363 or -1?\nAnswer: -1506\/31363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by 2259\nAnswer: -17\/2259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 185*d**3 + 3*d**2 - 23*d + 191. Is v(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.51 + -1.6. Let w = 6.71 + -6.8. Let q = m - w. What is the nearest to 0 in 0.5, -0.3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 20*l**2 + 22*l + 11. Calculate o(-21).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**3 - w**3 + w**3)*(1 - 4 + 0) - w**3 + 17*w - 11 - 16*w - w**2 + 3*w**3.\nAnswer: 8*w**3 - w**2 + w - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1784 divided by 6\nAnswer: -892\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 6*r - 25. Let y be z(-9). Let w be (-10)\/12 - y - (-6)\/(-36). Put 3, 5, w, -1\/3 in ascending order.\nAnswer: w, -1\/3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92, -19, 250, 715, 1376?\nAnswer: 2233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 12:56 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2166768 divided by -1083384?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(75\/(-5)))\/(158\/(10428\/5643))?\nAnswer: 2\/513","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i. Let x be (-6)\/33 - 1554\/(-77). Let y(s) = -2*s + x - 15 + 4*s - 5*s. Calculate y(j(v)).\nAnswer: -6*v + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*l = 159 - 13 + 22 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**4 - 4*p**4 + 6*p**4 + (3*p**2 + 4*p**2 - 5*p**2)*(4*p**2 - 2*p**2 - 5*p**2) - 18*p**4 + 2*p**4 - 5*p**4 + (5 + p - 5)*(p**2 - 2*p**3 - p**2).\nAnswer: -30*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(126)\/sqrt(2) + sqrt(756)\/(sqrt(12)*3).\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than -151452?\nAnswer: -151452.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 5:01 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/3*42\/4. Let v(h) = h**3 - 8*h**2 + 8*h - 1. Let t be v(b). Let m(s) = -s**3 + 2*s**2 - 5*s + t*s + 3*s. What is m(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of 1\/105*l**5 + 0 + 35*l**2 + 1\/21*l**4 + 0*l - 16\/21*l**3. Suppose r(j) = 0. Calculate j.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 5*t - 189. Give x(38).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -476712065 rounded to the nearest one hundred thousand?\nAnswer: -476700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1139309 minus -0.427?\nAnswer: 1139309.427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 12:31 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 549*n = -548*n - 11, -5*i + 8 = -4*n. Solve -5*d = -i*s + 10, -6*d + 8*d - 4 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-105)\/4)\/21*(-6)\/5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 86, 4, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -y**8\/20160 + y**7\/720 + 7*y**6\/720 - 7*y**5\/4 - y**2 + 32. Let p(z) be the third derivative of t(z). Give p(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 4. Calculate the common denominator of -11\/9 and (-1 + j - 2) + -28.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-107)\/(-522) + ((-74)\/9 - -8). Sort 1, 1\/3, l, 2\/3 in descending order.\nAnswer: 1, 2\/3, 1\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164979228.\nAnswer: 2, 3, 2459, 5591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/45)*t)**(-37) assuming t is positive.\nAnswer: t**(-1591\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -371001\/52 - -7136. Find the common denominator of f and 59\/36.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cssc when four letters picked without replacement from {s: 3, c: 4}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and 0.2313.\nAnswer: 3.2313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38912\/33 - 3538\/3. Which is the second biggest value? (a) 1\/7 (b) 1 (c) 0 (d) v (e) 0.021\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38277129661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.2511 * -2.818\nAnswer: 0.7075998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 412\/66 - (4 - 0) and -145\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/(285\/(-30)) + (-11)\/(-7).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(637) + 1 - -4*sqrt(208)*-2)**2.\nAnswer: -150*sqrt(13) + 8134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2967 - 1737 = -16*p. Let m = p + -257. Calculate the highest common factor of 37 and m.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 3*s - 5*z = -0*z - 30 + 32, z = 2*z for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3063 + -1cc9?\nAnswer: -505c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 564 + -50205?\nAnswer: -46311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)\/(sqrt(48)\/sqrt(4)))**2 + 1*sqrt(3) + -3)*-5.\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1049 + -893. Does 26 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + y**2 + 2. Let k be s(0). Let x = k + 4. Let i(h) = -h**2 + 7*h + 1. What are the prime factors of i(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -940*u. Let l(s) = -9811*s. Give b(l(n)).\nAnswer: 9222340*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 319, 320, 331, 358, 407, 484, 595?\n\"Answer: n**3 - n**2 - 3*n + 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -34011?\nAnswer: 34012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 145809.3088 rounded to the nearest one hundred?\nAnswer: 145800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 3, 1, -3, -589 in descending order.\nAnswer: 3, 1, -3, -19, -589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(4 + (-148)\/32). Sort 0.03, o, 0.3 in decreasing order.\nAnswer: 0.3, 0.03, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a9d (base 15) in base 9?\nAnswer: -3254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**2 + 25*x - 31. Let r(s) = s**2 - 13*s + 16. Let w(h) = -6*b(h) - 11*r(h). Let a be 1 - (-4 - -2 - 2). Let g be w(a). Solve g*v = v + 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(1722\/430 + -4). What is g rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 26*t**2 + 7*t + 15. Let h(i) = 5*i**2 - i + 3. Let c(v) = -5*h(v) + o(v). Let c(u) = 0. What is u?\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1592 and -3.2947.\nAnswer: -1595.2947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 143 and 260967382?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeqqqeeeesqeees. Give prob of sequence eese.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1276 and 682?\nAnswer: 39556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 112*g + 719 - 35*g - 34*g - 21 - 45*g to the form p*g + x and give x.\nAnswer: 698","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/4 - (-34)\/4. Suppose 0 = 5*t + 4*i - 14, 2*i = -4*t - 2*i + 12. Let n be t\/3 + 16\/12. Solve 0 = 2*c + n*w + 2, 3*w + q = -0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9*9\/(135\/10))\/((-754)\/58).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*x = -i + 371, -8*i + 14*i = 5*i - 0*i + 5*i - 0*i + 16 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*0.0311226\nAnswer: 0.00311226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 164 + -160. Let h be (1 + -1)*s\/64*8. Let v = 4 + -8. What is the closest to h in -2, 0.5, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2744*d - 8. Let c(u) = 2*u - 5. Let x be c(6). Let k be o(x). Suppose 4*q = q - k. What is q rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*z - 32 = 148*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88867829.\nAnswer: 3539, 25111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139*c**3 + 54*c**3 - 42*c**3 - 50*c**3 - 45*c**3 - 39*c**3 - 51*c**3.\nAnswer: -34*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) -14166361\/4 (c) 0.36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + 0 + sqrt(475) + (sqrt(475) + 0)*-5 - (5 + sqrt(475) + 2*sqrt(475) + sqrt(475) + 3))**2*3.\nAnswer: -91563 - 2640*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 3\/5, 4, -0.25, 43, -13?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -8 + -9 - 7?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - f + 36. Let j = -4 + f. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k*(((k*k\/k**(1\/4))\/k*k*k)\/k)\/k*k)\/k**(-1\/2))\/((k\/k**(-2\/11))\/(k**7*k*k)))**(1\/32) assuming k is positive.\nAnswer: k**(575\/1408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(3\/((-6)\/2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*m - 60 = -456 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -54*z + 39*z - 8*z - 161*z - 41*z. Let v(l) = l. Determine v(d(a)).\nAnswer: -225*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**3 - 3*z**2 - 3*z + 6. Let m(n) = n**3 - 2*n + 2. Calculate 6*m(d) - 2*v(d).\nAnswer: 2*d**3 + 6*d**2 - 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2 + 277. Let z(f) = 7*f**2. What is u(z(w))?\nAnswer: 98*w**4 + 277","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 40\/13*p**4 + 21 + 32\/13*p + 16\/13*p**3 - 64\/13*p**2 + 10\/13*p**5. Factor f(t).\nAnswer: 2*(t + 2)**2*(5*t - 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(720) + 3 + -3 + -2 + sqrt(320))**2.\nAnswer: -80*sqrt(5) + 2004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 5*l - 210, 3*l - 4*l - 4*o + 54 = 0. Let f = 12 + -84. Let h = l - f. List the prime factors of h.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15744878 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1174457 less than -0.065745?\nAnswer: 0.0517007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -19. Suppose -y*l + 7*l = 0. Let n be (6\/(-3) + l)\/(-2). Solve -x - 2 = n for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1530 + -1531. Which is the nearest to d? (a) -1\/6 (b) -2\/7 (c) 0.24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**2 - 5*q - 4. Suppose 32 = 3*t + 5*t. Let f(b) = -2*b**2 + 4*b + 3. Calculate t*f(r) + 3*u(r).\nAnswer: -2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1583*j**3 - 4524*j**3 - 1 + 1481*j**3 + 1 + 1463*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 4:51 PM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - 25. Let b be 12\/h + (-12)\/7. Let s be (-6)\/((-5)\/((-15)\/b)). Solve 8 = -3*z - s*y + 4*y, -4*z + y + 20 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 5:57 AM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 9) in base 4?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -9 and -125\/12 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -275*y + 264*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 18 + 3. Suppose -u*x = x - 64. What is the smallest common multiple of x and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11\/3 + -25\/6. Put -2, 2\/11, g in decreasing order.\nAnswer: 2\/11, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 7 = -12, 0 = -3*c + 3*w + 3309. List the prime factors of c.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 294*l**6 + 356*l**5 + 873*l**3 + 60522552*l**2 wrt l?\nAnswer: 35280*l**3 + 21360*l**2 + 5238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 742 and 207124.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 12 = -13*s + 7*d, 460*d - 30 = 4*s + 455*d for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x**2 - 3*x**2 + 8*x**2 - 2381*x**3 - 3030*x**3.\nAnswer: -5411*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*o**3 - 117*o**3 + 4*o - 4*o.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 112691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -34 + 20. Let t(y) = y**3 + y + 6. Let m be t(0). Is m >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + t - 1. Let d(s) = 2*s**2 - s - 6. Let u(p) = -d(p) + 5*v(p). Is u(5) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 10. Let c = 5\/21 - -1\/3. What is the smallest value in k, c, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 39503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -t + 11, 0 = q + 3 - 2. Suppose 6 = -3*w - 3*l, -w + 4 = -l + 2. Suppose w = a + a - 38. Calculate the remainder when a is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01920804977 to four decimal places.\nAnswer: 0.0192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110011 (base 3) to base 15.\nAnswer: -16d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-147)\/42)\/(1\/(-4)) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.451257 and 0.4.\nAnswer: -0.1805028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of k**3\/3 + 11*k**2 + 23*k + 29. Let b be q(-21). Suppose b*f - 322 = -66. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 83*a**6 - 28*a**5 - a**2 - 2891 wrt a.\nAnswer: 9960*a**3 - 1680*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 - -198\/5. Sort 3\/4, m, 1, 0.1 in ascending order.\nAnswer: m, 0.1, 3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o - 1. Let u(d) = 42*d - 15. Calculate -2*p(w) + u(w).\nAnswer: 40*w - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 18\/5 of a second?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -88.2 + 16.2. Let z = f + 70. Let r = -109\/861 + -2\/123. Which is the closest to 1? (a) z (b) -0.2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331947023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 6) + -68 - (306 + -316)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6055 - -6940. What is the highest common factor of 75 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-2))\/((-10)\/((-100)\/(-15))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 8. What is the remainder when 27 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 882 - 876. Let i be 2\/6 + (-17)\/(-3). Calculate the highest common divisor of r and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 544 + 88. Suppose 3*f - 14 + t = 4*w, 0 = 4*w - 4*f - 140. What are the prime factors of w?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/2368)\/(1017\/32544)\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 0*v - v)*(-4 + 4 - 2*v) + 5333 + 73*v**2 - 5333.\nAnswer: 77*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**12*p)**22*(p\/(p\/(p*p*p*p*p\/((p\/(p**(2\/9)\/p))\/p)*p*p)))\/(p*p\/(p*p*p*p\/(p**34*p))))**37 assuming p is positive.\nAnswer: p**(86321\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c + 4. Let h be n(5). Suppose 0 = -k - 3*k + h. Let w = -4 + k. Calculate the least common multiple of 7 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 + 766990*m - 147068415025.\nAnswer: -(m - 383495)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42469 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -166*h**2. Let x(v) = 2*v + 1189 - 592 - 597. Calculate x(g(z)).\nAnswer: -332*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -a16eb0?\nAnswer: a16eae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3367012*l - 3367032*l + 6734065*l.\nAnswer: 21*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -3\/7 (c) 0.1 (d) 2\/723 (e) -23\/1699\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143340*q + 804*q - 1028405*q - 103297*q.\nAnswer: -987558*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (9 - 8) + 1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.520091 millennia to years.\nAnswer: 3520.091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1530, 0.1, 2\/9, 4, 7\/2 in descending order.\nAnswer: 5, 4, 7\/2, 2\/9, 0.1, -1530","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 7 - 17 = 0. Let u be q\/(-14)*1 + (-1)\/(-7). Which is the third biggest value? (a) -1 (b) u (c) 15\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 710377845.\nAnswer: 3, 5, 43, 947, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 45*k - 45. Let l be q(1). Which is greater: -5\/91 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 832 by -204856.\nAnswer: -104\/25607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/48)\/((-2)\/16).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 - 5) + -41 + -1. Let f = -29 - k. Calculate the remainder when 25 is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**4 - 2*v**3 - v. Let x(i) = i**4 + 15*i**3 - 489*i**2 + 5*i. Let t(p) = 5*a(p) + x(p). Find the third derivative of t(h) wrt h.\nAnswer: -96*h + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 224802 and 13662?\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-5))\/(((-60)\/(-25))\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -266*-7450.\nAnswer: 1981700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a + 3*a**2 - 11*a + 2 - 3 - 4*a**2 + a**4 - a**3 to y*a**4 + h*a**2 + g + x*a**3 + b*a and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 5*s + 6, 6*s - 11 = 10*s + 3*f. Let g = -142 - -709\/5. Which is smaller: g or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6)\/4*100*(-5)\/15 is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/6 + (-1)\/(-3). Let l(n) = 6*n**3 - n**2 + n. Determine l(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 612 and 3683058?\nAnswer: 375671916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -278*d - 1370. What is the thousands digit of y(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*h = -5, 2*h = -r + 4*h. Suppose 2*a - 6*a + 96 = 5*w, 0 = r*a - w - 34. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 29\/2 of a micrometer?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 6*v**2 - 4*v - 5. Let h be c(-4). Let r = h - -25. Suppose 3*u - r*u + 23 = 0. List the prime factors of u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -12, 36, 122, 258, 456?\nAnswer: 728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2434467?\nAnswer: 3, 7, 16561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/9261 and -32\/3969.\nAnswer: 27783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 13c35?\nAnswer: -13c39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x. Let p(b) be the second derivative of -23*b**5\/60 + 6*b**2 + 17*b. Let o(v) be the first derivative of p(v). Determine o(i(m)).\nAnswer: -23*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 11.0761 (c) 1\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and (-1)\/((4\/(-8))\/1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of w**3\/6 - w**2\/2 - 2*w. Let p be h(3). Let k(f) = -5*f + p*f + 0*f. Let b(l) = 7*l**2. What is k(b(s))?\nAnswer: -21*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 16 + 0 = 4*o, -2*o = -5*k + 8. What is the units digit of (-3)\/(2\/o - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 63d + 3?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3207 - 3468 = -9*f. Which is greater: 19 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -15407, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d**2 - 2*d. Let b(t) = 5*t**2 + 3*t. Let j(p) = 3*b(p) + 4*g(p). Let c = -7058 - -7056. Let f(i) = -i**3 - 2*i**2 + 2*i. Give c*j(m) + f(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/5)*c*c*c**(7\/5) assuming c is positive.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -175 or 12?\nAnswer: -175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14878 - 14878. Let i = -2 - -5. Factor -4\/5*d**4 + m*d + 0 - 2\/5*d**2 + d**i + 1\/5*d**5.\nAnswer: d**2*(d - 2)*(d - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1593767 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 842940?\nAnswer: 842940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (106\/16)\/(-1)*(-2104)\/(-263)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1648.06 - -1685. What is s rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrj when three letters picked without replacement from ytljrrr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 24650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 196*b**2*z**4 + 2*b**2 + 2*b*z - 68 wrt z.\nAnswer: 2352*b**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8601\/389912)\/((-6)\/(-128)).\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 4:31 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -2, 61 in decreasing order.\nAnswer: 61, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/15 - (-6)\/(-15). Let q(r) = -r**3 + r - 9. Give q(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 0.01581?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 less than -247447003068?\nAnswer: -247447003068.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {h: 2, x: 3, c: 8, g: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -16530 (base 7) in base 6?\nAnswer: -33513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i + i - 2*g + 11 = 0, 4*g = 3*i + 23 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -632 = -2*k - 2*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ilw when three letters picked without replacement from {t: 4, i: 1, l: 2, w: 2, c: 3}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*f + 12 + 72 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5517 - 857. List the prime factors of l.\nAnswer: 2, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 770144*w**3 + 5283*w**2 + 5283*w. Let y(j) = 583*j**3 + 4*j**2 + 4*j. Give 4*v(g) - 5283*y(g).\nAnswer: 587*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*h + 22 = 0, 3*h = 4*w - 0*w - 29. Suppose c - 5*v = -9, 2 = -2*c + 3*v + w. Solve 0 = 3*j - c*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2581212 to the power of 1\/2, to the nearest integer?\nAnswer: 1607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 93 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s**2 + 3*s - 3. Let q(m) = m**2 + m - 1. Let g(b) = -3*q(b) + u(b). Let w(k) = -5*k**2 + 11*k**2 + 22*k**2 + 20*k**2. What is g(w(f))?\nAnswer: 2304*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 3*u + u)*(10*u - 4*u + 6*u - 4*u + 4*u - 4*u + (0*u - 2*u + u)*(0 + 0 + 1))*(-6 - 5 + 5).\nAnswer: -42*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1635986 - -920399. Let k = a + 275587. Round k to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 79 and 42.\nAnswer: 3318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 168340501 or 168340499?\nAnswer: 168340499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 102.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 107 = 9*t - 1780. What is the remainder when t is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 294b + 18c?\nAnswer: 2ad8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 173*-0.2.\nAnswer: -34.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -x - 0*x - r, -2*x - 4*r + 8 = 0. Suppose 0 = 2*h + 3*f - 14, -3*f + 8*f = 10. What is the tens digit of h\/x - 32\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b - 13. Let c = -7 - 2. Let g be t(c). Let f be (36\/8)\/((-1)\/g). Calculate the greatest common factor of 9 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 + (-20 - (-1 - 7)) + (-2 - -13)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 8*c - 5 - 4*c + 0*c + 3*c + (0*c - 3*c + c)*(-4 + 4 - 2) + 1124*c + 1075*c - 95*c to k + s*c and give s.\nAnswer: 2115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -c + 5. Let y be (-4)\/8 + (-6)\/c. Suppose a - 9 + y = 0. Solve a = 3*t + t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3124 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 698*z = -479*z + 959*z - 7412 for z.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 614 a factor of 10946927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197481 is divided by 318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cocccccoooc. What is prob of picking 3 c and 1 o?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1823\/4 - 456. What is the closest to d in -2\/3, -0.09, -54?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4236 is divided by 53?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -20*k**2 - 3*k - 3. Let g be y(3). Let s be (-3)\/9 - g\/9. Let w = s - 39\/2. What is the common denominator of -43\/11 and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1586\/(-208)*-4)\/((5\/2)\/(-5))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1653.744963048 + -20.\nAnswer: -1673.744963048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**3\/6 - 8*s. Let c(d) be the first derivative of -1 + 0*d + 1\/2*d**2. Give b(c(u)).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1422027017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 9.9 (c) 353\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z + 7. Suppose -5*u + 13*b - 14*b + 38 = 0, -2 = u - 3*b. Give r(u).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/12*(5 + 1383) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -10. Let f be 9\/g*(-4)\/3. Let c be 14\/77*f\/4. Is c bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 + 66 = -4*m. Suppose 0 = -3*p + 8*p - 15, -p = -4*r - 3. What are the prime factors of (m - r - 4)\/(1\/(-41))?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 2*d + 10 = -0*d, 3*d = -4*x - 15 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u - 3. Let c be j(3). Let s be (6 + c)*(-1)\/2 - 8. Let z(h) = h**2 + 6. Let v(q) = 2. Determine s*v(w) + 3*z(w).\nAnswer: 3*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-6)*(3 - 6). Let w(l) = -4*l**3 + 4*l**2 - l + 3*l**3 - i - l**3 + l**3. Suppose -2*f + 4*x + 2 = -2, -2*f = 3*x - 11. Give w(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 3*j**3\/7 - 71931*j**2\/7 + 456587400*j\/7 - 300055925052\/7 = 0.\nAnswer: 741, 11618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -253 + 215 + (12 - 1) - -30.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -346369412 divided by 86592353?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69 - 2*q**3 + 80 - 8*q**3 + 71*q**3 - 3*q**3 - 62*q**3.\nAnswer: -4*q**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8902624 to the power of 1\/2, to the nearest integer?\nAnswer: 2984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 - -28. Let q = 31 + v. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhxyssahaa. What is prob of sequence ha?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -4*s - 2. Solve -a + 0*a = -s for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 857681 * -0.25.\nAnswer: -214420.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, -310, -2, -0.5?\nAnswer: -310","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -d**6\/360 + d**3\/3 - 7*d. Let p(f) be the second derivative of q(f). Let m(o) = -5*o. What is p(m(u))?\nAnswer: -25*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 10779408.\nAnswer: 1077940.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 5*l**3 - l**2. Let b be j(1). Suppose -7 = -3*a - 2*k + 14, a + b = 3*k. Find the second derivative of -c**a + c + 2*c + 2*c**5 wrt c.\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 102\/30 - 9\/(-15). Suppose z - 1794 = u, 0 = 2*z + a*u - 460 - 3116. Suppose -z = 2*n - 16*n. Is n a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-168*n**4 + 272*n**4 + 267*n**4)*(7*n - 7 + 7).\nAnswer: 2597*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1364179 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 11:28 AM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -446225 - 1161?\nAnswer: -447406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.46718327 - 13749.\nAnswer: -13748.53281673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*12\/40*(-8)\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g + 22. Let m be i(18). Let c(n) be the second derivative of 0 - n**3 + 1\/3*n**m - n**2 - n + 1\/20*n**5. Give c(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2385 and 5.\nAnswer: 2385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 2868517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.131921643 and 2022.2.\nAnswer: 2022.068078357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(168) + sqrt(168) - 3*(sqrt(210)\/sqrt(5) + sqrt(42)))*-3)\/(sqrt(30)\/(1*sqrt(45)) - sqrt(24)\/(-3*sqrt(16)\/sqrt(4))).\nAnswer: 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2081 = -5*a - 79961, 0 = -3*z + 2*a - 233708. What is z rounded to the nearest one thousand?\nAnswer: -78000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -75, -113?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3077796 divided by -2\nAnswer: 1538898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 376 and 1075078.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddbb when four letters picked without replacement from tkdddkdb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p = 15*p - 1754. List the prime factors of p.\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33244 - -4?\nAnswer: 33252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.9 - -13. Which is the third biggest value? (a) 2\/5 (b) -1\/2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t - 7. Let s be a(4). What is the tens digit of -2 + s\/(-1) - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 2*i - 27. Determine l(-10).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1030 + -1023?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -761985092, -761985091, -761985088, -761985083, -761985076?\n\"Answer: u**2 - 2*u - 761985091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(468) + -1)**2 + 2 - -3*-1*sqrt(468)*2.\nAnswer: -36*sqrt(13) + 470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 1427030.\nAnswer: 9989210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f**2 + 360*f - f**2 - 3*f**2 - 5*f**2 - 10.\nAnswer: -3*f**2 + 360*f - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pfadffpfdopfdfpeof. Give prob of picking 1 p, 1 o, and 2 d.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 193.294978 and 50708.\nAnswer: 50901.294978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a + 234*a**2 + 0*a - 231*a**2 + 0*a + 2*a.\nAnswer: 3*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -394 - -686. Suppose -k = 4*g - u, 187 = k + g - 105. What are the prime factors of k?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 69115 + 13?\nAnswer: 69128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 + 54. Suppose -6*p = -c*p + 15. Solve s + 2*s = p*u, -5*u - 5*s = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*r - 6 = 29*r + 24*r + 21*r + 3*i, -8*r - i = -15*r + 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**3 - 14*i**2 - 79*i - 129. Determine u(12).\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3528.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 33, 26, 23, 30, 53?\n\"Answer: k**3 - 4*k**2 - 2*k + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -a**5\/15 - 2*a**2. Let x(b) = -10*b. Let d(t) = -8*t. Let y(n) = -4*d(n) + 3*x(n). Give y(q(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 9*k + 27. Let b be k*-1*1\/1. Let q be (-16)\/(1\/(b\/(-3))). Calculate the highest common factor of 24 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*w + 1191 = 41*w. Suppose -4*j - 5*o + 30 = -w, o = j - 109. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 210, 1, -4, 2 in decreasing order.\nAnswer: 210, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -8*s - 3*z + 32, s + 5*z = 24. Suppose -s*y = 420 + 304. Let r = 338 + y. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -8. Suppose -h + t = -0*h. Suppose -5*s + 5*o = -490, -o + 5 = 4. Calculate the greatest common factor of s and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3060 and 3156900.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 53478 and 20?\nAnswer: 534780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/3)\/((-76)\/342). Solve 3\/4*d**2 - 1\/4*d**l + 0 - 1\/2*d = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/12 + 30\/9. Let z = o - 3. Let g = 943 - 938. Which is the fourth smallest value? (a) -1\/4 (b) g (c) z (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9791957*x - 56597683?\nAnswer: 9791957","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 86*o**3 - 17*o**2 - 10*o - 7. Let p(r) = 57*r**3 - 12*r**2 - 7*r - 5. Let j(c) = -7*p(c) + 5*w(c). Calculate j(-1).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12682, 50925, 114660, 203887?\nAnswer: 318606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -8*o - 20*o**2 - 16*o**2 - 7 + 37*o**2. What is the tens digit of t(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -256.99*-0.034\nAnswer: 8.73766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*p - 406 = p for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine fifths of a century?\nAnswer: 6960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 + 25. Let m(h) = -h**3 + 8*h**2 + 6. Let r be m(5). Calculate the highest common divisor of r and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n + 11. Calculate y(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1977.4181 to the nearest one hundred.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 9296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 82, 222, 490, 928?\nAnswer: 1578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -27, 1737616 in descending order.\nAnswer: 1737616, 5, 1, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8 times 33295?\nAnswer: 93226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 35*z - 20. Let b(l) = 107*l - 60. Let x(f) = -4*b(f) + 11*o(f). Let w be x(-1). Calculate the highest common factor of w and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1326\/17)\/13)\/((13\/(-26))\/((-82)\/(-12))).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -8*s**2 - 4*s + 199. Let a be l(0). Find the third derivative of -a*x**6 - 17*x**2 - 3*x - x**2 + 9*x**2 wrt x.\nAnswer: -23880*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 229.74 + -228. Let d = k + 0.26. Sort d, 0.4, -3, -1\/9 in decreasing order.\nAnswer: d, 0.4, -1\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*v + 1 + 48*v + 0 - 1.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*r - 114 = 53*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z - 5*k + 81 = 0, 2*z - 760 = -k - 783 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -706092, -706092, -706104, -706134, -706188, -706272, -706392, -706554?\nAnswer: -706764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 322566544 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 196001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 614 + 36. What is the remainder when i is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1242185 to the nearest integer?\nAnswer: 1115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -1293270\nAnswer: 1\/1293270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and (0 - 4\/(-8))*58.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-64 + 0 - (-192)\/(-32)) + -3. Is 2 bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - 3*w + 3*q + 17, 4*q = -w - 19 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31058?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 91 - 95.3. Let r = 4.3019 + k. What is r rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 19554 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -431*o**3 - 67*o**2 + 8*o - 10. Let m(d) = -288*d**3 - 43*d**2 + 5*d - 6. What is -8*m(s) + 5*z(s)?\nAnswer: 149*s**3 + 9*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 623000 to the nearest 10000.\nAnswer: 620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 12750 (c) 3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 129 (base 13) in base 3?\nAnswer: 21120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.96 + -7. Let w = -25 + 25.088. Let j = h + w. Round j to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -16. Let l = 7 + -5. Let y = l - k. Which is smaller: 2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = o - 6. Let j be -32*(o - (-3)\/2). Suppose -j = -2*p - 0*p. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 12*s - 34. Let a be v(14). Let o be (-10 + 7)*8\/a. Suppose -4*m + o*b + 504 = 0, 3*m + b = -4*b + 346. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 4836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/1289 - -1286\/3867. Let y(w) be the first derivative of -29 + 0*w + 0*w**2 - d*w**3. Let f(g) = -39*g. Calculate y(f(i)).\nAnswer: -1521*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/10)\/(2\/4). Sort 0, c, -3, 5 in increasing order.\nAnswer: -3, 0, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7361, -1\/3, 0.2?\nAnswer: -7361","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 65 + -34. Let f(u) = -10 + 31*u + d*u - 26 + 11. Is f(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8958*h**2 + 8809*h**2 - 96 - 17744*h**2.\nAnswer: 23*h**2 - 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 < 2\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -74 + 56. Let w be (4\/(-6))\/(v\/108). Suppose 0 = w*o - 221 - 195. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of 3*l**5\/20 + l**4\/4 - 13*l**3\/6 - 3*l**2. Is y(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -98 - -95. What are the prime factors of 12*(f - 125\/(-10))?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 22*k - 24*k. Let d = -1 + 0. Let a = d - k. Let r(j) = -j + 4. Give r(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 9*x**2 + x - 89. Let g be u(-7). Solve -18 = 8*l - g for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = 21*i - 8*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*j - 424*j**3 + 0*j**2 + 3*j**2 + 426*j**3 to i + m*j**2 + u*j + a*j**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 167\/(-21) + (-465 - -473). What is the nearest to -2 in -0.1, 0.3, -2, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17557487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 40\/18 - (-4)\/(-18). Suppose -7 = -3*h - 1. Suppose y - 3*u - x = h, 4*u = -4. Let q(b) = 10*b**3 - 2*b**2 + 1. Give q(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 121 and 77.\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 162323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -8, 5, -5, 1, 208 in decreasing order.\nAnswer: 208, 5, 4, 1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -22\/809, -3.4, -2, -21 in descending order.\nAnswer: -22\/809, -2, -3.4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (625\/(-20))\/(-25)*1\/((-10)\/(-4)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -l + 2*m, 8*l + 62*m = 13*l + 64*m + 22 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(70) + sqrt(70)*-1 + sqrt(70)) + (sqrt(70)*2 - sqrt(70))*-3)*2)\/(sqrt(50)\/sqrt(5)*-2 + -6*sqrt(40)\/sqrt(4)).\nAnswer: -3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 8:13 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -7 + 3 + -12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -245, -457, -669, -881, -1093, -1305?\n\"Answer: -212*q - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand u + 0*u + u + (-u + 0 + 0)*(1 - 3 + 3).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-9))\/((-490)\/196)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1470307336.\nAnswer: 2, 1667, 110251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c + c + 0*c - 6*c + 9*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 40208 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 n(t) = -2*t. Let q be n(-9). Let d = 25 - q. Calculate the remainder when 20 is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*v = 0. Suppose 6*g = 3*g + 2*b + 47, v = 5*g - b - 76. Let u(h) = -7*h - 1. What is the remainder when u(-4) is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -699 - -698.8. Let w = -0.06 - 0.24. Let h = -0.17 - 0.23. Which is the closest to 2\/3? (a) w (b) j (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + g = -a + 896, 3*a = -5*g - 884. Let u be a\/(-14) - (-66)\/(-231). Let x be (75 - 3)*7\/u. Calculate the greatest common divisor of 40 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -15. Solve 0 = -4*j - 4 - z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.3, -1\/2, 1\/8, -706?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30613 (base 7) in base 4?\nAnswer: 1311103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/63)\/x)\/(x*x**(-18\/11)\/x) assuming x is positive.\nAnswer: x**(463\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(308)\/(sqrt(7) + sqrt(28)\/sqrt(4))*2)\/(2*sqrt(256)*5).\nAnswer: sqrt(11)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-34)\/(-2856)*-12)\/(1\/(-133)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y**4 + 3*y**3 + 69*y**2 + 21*y**3 - 5*y**3 - 18*y**3 - 8*y**2 in the form x*y**4 + v*y**2 + l*y + a + m*y**3 and give v.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 12*c + 26. Give p(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/18)\/(2\/114). Suppose 2*o + 199 - z = -m, 0 = -o - 2. What is m rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - -193 - (-1 - 0). Suppose 4*h - m - 75 = 3*h, 3*h - i = -3*m. Calculate the smallest common multiple of h and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 10111100?\nAnswer: 10111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k**2 - 3*k**2 - 24 + 23 + 6*k - k**3 - 22*k**2 in the form p + u*k**3 + y*k + m*k**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.07 rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.9031 to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**2\/5 - 464*o\/5 + 4422 = 0. What is o?\nAnswer: 67, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.73 rounded to zero dps?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -851, -853, -855, -857, -859, -861?\n\"Answer: -2*b - 849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 179*p**2 + 1494*p + 16. Let q be u(8). Solve q = -4*f - f + 3*t - 31, -3*t + 11 = 5*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/468 and 5\/45288?\nAnswer: 588744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 182617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 6341.21 to the nearest 100.\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27\/443 - -40721\/682663. Let b = v - 63145\/27738. Find the common denominator of b and -1 + 0 + (-212)\/64.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, 1\/7, 1458?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 304 and 5016.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 + 4*a + 4. Let g be v(-3). What is the units digit of (-168)\/(-20) - 4\/g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7217.8787 - -15913?\nAnswer: 8695.1213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**3\/6 + 85*r**2\/6 + 178*r\/3 = 0. What is r?\nAnswer: -4, 0, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2772 and 308?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xcfv when four letters picked without replacement from zjvjjxvcjzjfjcjxj.\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*f + 24 = -3*u - 25*f, 2*u = -68*f + 344 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2191 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 3*n - 111, 0 = -2*n + 5*j + 31 + 78. Suppose 4*i + k - n = 3*i, -i + 2*k = -30. List the prime factors of i.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2804073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11178 + 11177.76. What is the nearest to n in 51, 1, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a week in minutes?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2430, 9778, 22024, 39168, 61210?\nAnswer: 88150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102240887.\nAnswer: 7, 14605841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 18*p**2 + 145*p + 2619. Let f(h) = 43*h**2 + 290*h + 5235. Let z(u) = -3*f(u) + 7*n(u). Find the first derivative of z(d) wrt d.\nAnswer: -6*d + 145","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and 0.28.\nAnswer: -2.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 121807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 103 - 100 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349157?\nAnswer: 101, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 6*b**2 - 7*b + 4. Let s be p(7). Let x = -18 - -20. Solve 0 = -s*k - 0*k + x*i - 8, -8 = -2*k - 5*i for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 3:23 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.306195 rounded to two dps?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j - 26 - 43 - 535 - j as g + m*j and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*s - 36 = -58*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31468502.\nAnswer: 2, 13, 149, 8123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vyyy when four letters picked without replacement from yvvycvyyvcccryccvcc.\nAnswer: 25\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + g + g = 0, -3*l = 4*g - 14. Let d(h) = -5*h + 10. Let r(p) = -6*p + 13. Let w(o) = -4*d(o) + 3*r(o). Calculate w(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37342037 to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 583.1\nAnswer: 585.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 16 (c) -113\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**7\/42 - k**4\/12 - 10*k**2. Find the second derivative of q(y) wrt y.\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2134 - 3?\nAnswer: 2131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 5*v = 9 + 76, 2*d - 24 = -3*v. Solve 6*q + d = 3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 11*s - 28. Let k be z(-7). Suppose 2 = 3*n - 7, k = -2*g + 2*n - 10. Is 53*(g + 7 - 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 717201, 1434089, 2150667, 2866935, 3582893, 4298541?\nAnswer: 5013879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 3 = g, -14*f = 2*g - 13*f - 5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43700, -43708, -43716?\nAnswer: -43724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 230*p - 9805. Let d be x(-74). What is the highest common divisor of d and 370?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 4*d - 184, -2*d + 38 = -d - y. Suppose 5*u = 152 - d. Calculate the greatest common divisor of 33 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a meter?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 133, 534, 1191, 2092, 3225, 4578?\n\"Answer: -2*q**3 + 140*q**2 - 5*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 50033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-200)\/(-20)*(-2)\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 320 + -50. Let f = a + -1894\/7. Which is smaller: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + 1 + 261 + -1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + (-3 - 7) + -45?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 34. Let i = f - -111\/7. What is the third biggest value in i, 2, -1\/8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3799 = -2*a + 6*x + 3795, 2 = 5*a - 9*x for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2846009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7374146 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yk when two letters picked without replacement from kbyyyyyykbyy.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -2*r. Suppose -5*b - 1272 = -3*o - r*b, -5*b = 3*o - 1242. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 8*y - 9*y. Is y a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1791 by -199.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a century in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55 + 35. Let b = -19.64 - t. Let d = -0.08 + b. What is d rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/(-2) - (2205\/(-448) + 5) and -133\/288?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76 + -52. Suppose -3*j + 0*j = 0. Solve 5*s + 1 + g = j for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 61 = 5*p, -3*l - 10 = -3*p + 11. Let c(v) = v**2 + 8*v - 11. Calculate the common denominator of 73\/4 and c(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (-8 + 22)) + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - -5. Suppose 0 = -2*j - j + w. Is 26 a factor of j\/24 - (-311)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -580a59 (base 13) to base 2.\nAnswer: -111111101011100111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7\/3 (b) -345 (c) -5 (d) -1\/15 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -2, 0.177, -4\/7, 434?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h - 1. Let g be 3\/(-12) + (-30)\/8. Let w be a(g). Suppose w*l - z - 26 = z, 5*l - 42 = 4*z. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 439 (base 13) to base 6\nAnswer: 3204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-86)*(-4)\/(-25 + -11)?\nAnswer: 2\/129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - 0)\/(-3)*(-3352)\/4213464?\nAnswer: 2\/419","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zqz when three letters picked without replacement from {u: 1, l: 1, h: 1, q: 1, d: 1, z: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4859 is divided by 1422?\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 81, 323, 727, 1293, 2021?\n\"Answer: 81*x**2 - x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 14*h**2 + 87*h + 840. What is g(-12)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -550\/2737 - 15\/161. What is the second biggest value in 1\/3, l, -2, -4\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.706637 * -0.4\nAnswer: -1.0826548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 19920 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 6. Let h be (80\/15)\/8*6\/g. Let b(q) = 192*q + 7. Is b(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(sqrt(1050)\/sqrt(7)) + (-1*sqrt(198)\/sqrt(2))**2)*3.\nAnswer: 3*sqrt(11)\/5 + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-108)\/(-28) + 6\/42. Let p be z - 5\/(35\/28). Let m(o) = o**3 - 20. What is m(p)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*m - 0*m + 8, -2*m + 5*d = 8. Let g = 3 - m. Let h be ((-5)\/(-4))\/(g\/28). Solve -10 = h*k - 35 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*t = -26*t + 558. Solve j - 3 = t*i, 6*j = -5*i + 3*j - 14 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 4*i**5 + 212*i**4 + 3428*i**3 + 15916*i**2 + 12696*i = 0.\nAnswer: -23, -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -2*s - 2. Let f(m) = -16*m**2 + m. Determine f(s).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 457 is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvh when three letters picked without replacement from {f: 2, h: 1, x: 4, v: 7, c: 1}.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kpzkzkkkpkpkzs. What is prob of picking 3 z?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 6*w**2 + 7. What is the remainder when g(-3) is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 9 + -24 + (10 + -4 - 2) - -56.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 13. What is the second biggest value in y, 5, -9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kj when two letters picked without replacement from jvsbkaj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 38639 (base 10) in base 14?\nAnswer: 1011d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1636675 divided by 25.\nAnswer: -65467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1.318*216\nAnswer: 284.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.8 plus 8?\nAnswer: 42.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 2586\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1642368 by -21.\nAnswer: 78208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -56, 1\/3 in descending order.\nAnswer: 2\/5, 1\/3, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*i + 341 + 1967 = 0, m + 5*i = 1169. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -154 from -0.104.\nAnswer: 153.896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28611 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 79 = t - 69, 2*z - 4*t = -14 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106941461.\nAnswer: 11, 9721951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (8 + -1 - (3 + -29 + 25)) + -12\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 1:16 AM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.3, 0.5, 2, -609 in increasing order.\nAnswer: -609, -1, 0.3, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*h*l*z - 4*h*l - h*v*z - h*v - 444*h - l*v + 17388*l*z + 2*l - 3*v wrt h?\nAnswer: -8*l*z - 4*l - v*z - v - 444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7240 is divided by 7240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x - x**4 + x - 4*x**2 + 7*x**2 - 1 as t*x**3 + z*x**2 + h + a*x + n*x**4 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bh when two letters picked without replacement from {b: 1, g: 1, k: 2, n: 1, h: 1, z: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -126*i - 43. What is the remainder when 165 is divided by q(-1)?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163 - 163 + 11853*r**2.\nAnswer: 11853*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2077 - 2113)*3\/4.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 6:13 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, b: 4, m: 6, x: 3}. What is prob of sequence km?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19308603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 - -0.3. Let v = -1.5 - g. Let q = -7 + 6. Which is the nearest to q? (a) 4\/5 (b) v (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, i: 4, l: 9}. Give prob of sequence ii.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**3 + 79*s**2 - 37*s + 129. Let c be (-1)\/4 + (-1550)\/(-248) + (-46 - 0). Calculate n(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/10 (b) 1\/3 (c) 41\/8 (d) 330 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -6705 divided by -8\nAnswer: 6705\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + (-84 - -14) - -17.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**21)**(-5\/2)\/(j**(-3\/2)*(j*j\/(j\/(j\/(j\/j**(-12\/5)))))\/j) assuming j is positive.\nAnswer: j**(-243\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 + -31. Does 6 divide (-182)\/(-8) + t\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/85 and -37\/34.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 - -36. Solve 3*s - 5 + 0 = 2*n, s - w = -5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4564596 + -2?\nAnswer: 4564594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6529609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 44457423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1870182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -o**5\/18 + 31*o**4\/180 - 2*o**3\/15 + 637*o**2. Find h such that p(h) = 0.\nAnswer: 6\/25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a micrometer in nanometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - z - 2*z + (-12 - 5 + 7)*(z - 4*z + z))*(0 + 5 - 2).\nAnswer: 63*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28.696 + 28.4. Let d = -3.296 - u. What is the nearest to 5\/3 in -1\/4, -0.3, d?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 917 + -921. Let t(w) be the first derivative of -25*w**2\/2 - 7*w + 1. Calculate the remainder when t(u) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 11. Let r be 3\/((-1)\/2*i). Let g be (-5)\/15 + (-13)\/(-3). Sort -2, g, r.\nAnswer: r, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**2 - 2*t**2 + 5*t**2)*(-2*t - 2 - 3*t - 8*t) + 0*t**2 - 4*t - 25*t**3 - 2*t**2 + 18*t**3.\nAnswer: 6*t**3 - 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 9771 = 5*s, 4*a - 4406 = -5*s + 5368. Suppose 0 = 19*z - 27314 - 39015. Let n = z - s. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13764203.\nAnswer: 17, 97, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1404)\/5265 + 428\/30.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**(-31)))**(11\/3) assuming n is positive.\nAnswer: n**(-341\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/(-5) - 2\/5. Let k = f - 5. Let c = -32 - -37. Put c, k, 0 in decreasing order.\nAnswer: c, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35*q**2*v**2 + 230*q**2*v - q**2 - 147453*v**2 wrt q.\nAnswer: 70*q*v**2 + 460*q*v - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -217*h**2 + 189 - 1042*h**2 - h + h + 1187*h**2 as j + t*h + i*h**2 and give j.\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1868.4 + -1868. What is the third biggest value in 7\/2, -0.6, y, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(51))\/sqrt(3) - (1 + sqrt(612)))**2 + (-2*sqrt(816))\/sqrt(3).\nAnswer: 6*sqrt(17) + 834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/8 of a litre in millilitres?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**4 - p**4 + 3*p**4)*(-3 + 3 - 2*p) + 1036188*p**5 - 1036178*p**5 - p + 2 + 68*p.\nAnswer: 14*p**5 + 67*p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from efcvdwdcf. What is prob of sequence dccd?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 982847?\nAnswer: 982847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -5*h - 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/1360 and 95\/32.\nAnswer: 2720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20401056 divided by -6.\nAnswer: -3400176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*u)*(0*u**3 + 0*u**3 + 2*u**3) - 3*u**4 + 2*u**4 + 3*u**4 + 2*u**4 + 5*u**4 - 5*u**4.\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a31a5263 - -3?\nAnswer: a31a5266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -9. Let p(a) = -44*a - 1. Let l be p(n). Let g = 69 + l. 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: Let z be (6\/15)\/(2\/40). Let m be 2\/z + 59\/4. Let y = m - 29\/2. Which is the third smallest value? (a) y (b) -2\/3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 54 = -4*k, k + b + 17 = -0*b. Does 13 divide (-26)\/(5\/k + (-1 - -1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -9*l**2 - 25*l - 9. Let a(b) = -4*b**2 - 12*b - 4. Let r(f) = -13*a(f) + 6*q(f). Let w be 6\/(-14) - 810\/315. Let s = 1 - w. Give r(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -424863482*o**5 - 3*o**2 + 68364012.\nAnswer: -25491808920*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rw when two letters picked without replacement from rsrrrwsrws?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2. Let z(s) = 188*s. What is i(z(f))?\nAnswer: 70688*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 8:10 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 8:28 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141209 = -5*h + 2*s, 71*s - 66*s - 56472 = -2*h. List the prime factors of h.\nAnswer: 31, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12.0089 and -1.4.\nAnswer: -16.81246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (336 - -12)*3\/6. Let a be k*21\/48 - (-18)\/(-144). What is the highest common factor of 19 and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 2 - (13 + -10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 6633 = 4*s, 3*s + a + 2*a = 4986. What are the prime factors of s?\nAnswer: 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2285 a factor of 2169423229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -49, -48, -43, -34, -21, -4?\n\"Answer: 2*h**2 - 5*h - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(-20)*1\/(-4). Let v(m) be the second derivative of 1\/3*m**4 + 1\/3*m**3 + 0 + p*m**5 + m + 0*m**2. Factor v(o).\nAnswer: 2*o*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (37 + 6 + -25 - 44) + (-1 - -2) + 10\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -506, -1248, -1998, -2762, -3546, -4356, -5198, -6078?\n\"Answer: -b**3 + 2*b**2 - 741*b + 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 28 = 2*v. Suppose -8*t = -v*t. Let i(p) = p**3 - p + 12. List the prime factors of i(t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23991434 divided by 2.\nAnswer: 11995717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -6018 greater than or equal to -5995?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 4*v - 21, -2*d + 0*v - v = -6. Suppose -7*f + 2*f - d*a = -15, -18 = -4*f + 2*a. Solve 0 = f*r + 3*i - 32, -4*r - r + 4*i = -9 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1402.\nAnswer: 2, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16765 - 16761. Which is the nearest to 0? (a) -1\/2 (b) -15\/2 (c) 0.1 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 37 + 3*d**2 + 23*d - 16 - 43 - 4*d**2. Let y be t(22). Solve -x = y, 4*x - 5 = -5*m + 8*x for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus 1082?\nAnswer: 1081.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/5 + 34*i\/5 + 24.\nAnswer: 2*(i + 5)*(i + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 11*b - 23)*(5 + 3 - 9).\nAnswer: 11*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39820 - 173316 = -185*u + 487734. What is the remainder when u is divided by 140?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 9*c = c - 8*c - 22, 0 = -4*h + 3*c - 83 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -t**3\/6 + 3*t. Let g(n) = -5*n - 6. Calculate g(c(k)).\nAnswer: 5*k - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 623155633?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -342*k + 60192. Give g(176).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 187*s - 3547. What is w(19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -289317, -578639, -867961, -1157283?\nAnswer: -1446605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s + 139928 - 326*s**2 + 2*s + 0*s - 139928.\nAnswer: -326*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 30383.83 micrograms?\nAnswer: 30383830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 17844, 35688, 53532?\n\"Answer: 17844*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1876, 7903, 18070, 32377, 50824, 73411?\n\"Answer: 2070*b**2 - 183*b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Sort 66, 3, 2, 624, -4 in descending order.\nAnswer: 624, 66, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -98723\/4 or -24682?\nAnswer: -24682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rf when two letters picked without replacement from {j: 1, r: 1, x: 1, f: 1, h: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and -37979.78.\nAnswer: -37979.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 1. Find the second derivative of -2*b - b + 6*b**5 - w*b**5 - b**5 wrt b.\nAnswer: 40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -354 - -4?\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 take away 3711.4340586526?\nAnswer: -3711.5140586526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 7 = 29. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a millennium in years?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21584464.\nAnswer: 2, 11, 11149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -671 (base 13) in base 12?\nAnswer: -782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iamvvmzzmavavieviva. What is prob of picking 1 e and 1 i?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 32086 + -35b8?\nAnswer: 2a68a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-12))\/((-5)\/15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.04, -1, -1\/10, 932?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -4*a**3\/3 - a**2\/2 + 4. Suppose 0 = -3*c + 2 + 1. Calculate t(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*f**3*k*m**2 - 8*f**3*m + 16*f**2*k + f*m + 42*k*m**2 wrt m?\nAnswer: -18*f**3*k + 84*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pmxm when four letters picked without replacement from ppmxrxmxpxpxxmy?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a decade?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1896725740 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -154*r - 1044. Determine v(-8).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b + 3. Let j be q(0). Let i(u) = -2 + 7 - 2*u - 10. Let d(n) = -5*n - 14. What is j*d(p) - 8*i(p)?\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w - 16. Let t(v) = v**3 + 6*v**2 - v + 3. Let k be t(-6). Let l be m(k). Are -6 and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2434.3761 months?\nAnswer: 0.202864675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 2215*w - 25*w**3 + 70*w**3 + 2216*w.\nAnswer: 45*w**3 + w + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -417.3 + 417. Put c, 0.4, 0.5, 18 in increasing order.\nAnswer: c, 0.4, 0.5, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -6*r + 22. Suppose r*f - 91 = -5*f. Which is smaller: 6 or f?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.989 from 0.29.\nAnswer: -1.699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a century?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 674835 * -0.2.\nAnswer: -134967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/12)\/(450\/100)*(-11)\/(-1)*-3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lxxxxlxlxlxl. Give prob of picking 2 l and 2 x.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -19*b - 2. Let s be m(-6). Let j(i) = -5*i**3 + 3*i - 19. Let c be j(3). Let n = c - -161. Calculate the greatest common divisor of n and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-460)\/184*(-2 - (-1 + 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -579.9 - 0.0294224\nAnswer: -579.9294224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 798 is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - p = 39, 4*p + 21 = -2*h + 3*h. Let g(j) = 5*j - 5. Is g(h) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1948 + 1942. Let k(y) = y**2 + 12*y + 26. Give k(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 441252 and 3143148?\nAnswer: 1122103836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 14\/4*(-112)\/196?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -48\/1295 and 21\/1173265.\nAnswer: 303875635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -44, -48, -52, -56, -60?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*q**3 + 375*q**3 - 63*q**3 - 59*q**3 - 58*q**3 - 59*q**3.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*c - 16 = 0, -3*h + 2*c + 8 = h. Suppose 2*y + 8 = h, 6*t - t - 66 = -y. Suppose t*o = 9*o + 60. Is 6 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 12*x + 2. Let f be z(-12). Solve -5*b - 12 = -f*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**4 - 12*w**3 - 6*w**2 + 20*w.\nAnswer: -2*w*(w - 1)*(w + 2)*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -43*a. Let i(n) = 4*n**2. What is z(i(o))?\nAnswer: -172*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 10:33 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -4\/5, -3, 0.69?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l + f + 9, 9*l + 5*f = 10*l - 9 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1461 is divided by 9\/(-18) - (-173)\/2?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -136 times -1122?\nAnswer: 152592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 419*x**2 + 2488*x - 66. Give j(-6).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l**3 + 262*l**2 - 262*l**2.\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*a**4 + 15*a**3 - 151*a**2 + 15*a - 1997 wrt a?\nAnswer: -48*a**2 + 90*a - 302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(136) - ((sqrt(136) + (sqrt(136) - (sqrt(136) + 1*sqrt(136) - sqrt(136) - sqrt(136))*4) - sqrt(136)) + sqrt(136))))\/(-1*sqrt(288)*1).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12129605 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 182497 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -8. Solve -4*n + h = -20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 88 - 87.99988. What is s rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1649 (b) -0.066 (c) -1 (d) -0.03 (e) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2 + 13*m + 8. Let x be i(-7). Let f = 17 - x. Find the common denominator of (f - (-116)\/(-18)) + 3 and 59\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = -15 - 73. Suppose -k*d + 262 = -9*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4b98 (base 16) to base 8.\nAnswer: 45630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 370 a factor of 376660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -210673640*k**2*l**3 + k**2*l**2 + 243595*k**2*l - 3*k**2 + 3*k*l + 2*k - 1 wrt l?\nAnswer: -1264041840*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -290*f*g + 591*f*r + 25*f + 5765*g*r - 155*r wrt f?\nAnswer: -290*g + 591*r + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -378 + 1804. Does 48 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1270629, 1270627, 1270625, 1270623, 1270621?\nAnswer: 1270619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 1806836.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oobvvbpzov. What is prob of sequence zb?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -90954\nAnswer: 1\/30318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5954?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**2 + 1736*a - 110312. Give i(69).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(-7) - (-2 + 0). Suppose 0 = 2*q - 1 - 19. Suppose -33*l - q = -31*l. What is the third smallest value in l, 1\/2, f?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-4))\/(24\/(-48))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -300 + 297. Let w be 0 - ((-350)\/91 - -2*2). What is the fourth biggest value in w, 20, -1\/3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 921697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1003039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/3)\/q**0)\/(q\/q**(-5)*q**0)*(q**6\/q**(-3\/4))**(-13\/3) assuming q is positive.\nAnswer: q**(-419\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -554*c + 563*c = 342. List the prime factors of c.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 9*b**3 - 2*b**2 - b + 1. Let n be i(2). Suppose -28 = -4*o - d - d, 7 = o + 5*d. What is the greatest common divisor of o and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 13. Calculate the remainder when c is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + 43*t + 123. Let w be l(-40). Suppose -4*n**4 - 456*n**2 + 68*n**2 + 311 + 76*n**w + 180*n + 280 + 57 = 0. Calculate n.\nAnswer: -1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(((-26)\/(-1040)*30)\/((-12)\/(-16))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y - 4. Let f be v(-8). Calculate the greatest common divisor of 8 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 329875783 to the power of 1\/3, to the nearest integer?\nAnswer: 691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, v: 1, i: 2, e: 1, w: 1, k: 1}. Give prob of picking 1 k and 1 e.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -l - 3 + 7, 0 = -4*b - 4*l for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d - 337. Let c(t) = 84*t - 5. Calculate g(c(n)).\nAnswer: -168*n - 327","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 6*k**2 + 6*k - 9. Let z(s) = s**2 + s - 1. Give -2*m(g) + 10*z(g).\nAnswer: -2*g**2 - 2*g + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 55103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 615695792.\nAnswer: 2, 659, 58393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4940 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/4070015 or -1?\nAnswer: -2\/4070015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 7:47 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*q + 3 = -27*q. Let k(s) = -11*s**3 - 3*s + 6. Let p(x) = -1. Let a(n) = q*k(n) - 6*p(n). Find the second derivative of a(d) wrt d.\nAnswer: 66*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5*c + 13 = 0, 3*c + 54 = 4*n + 15. Solve 4*o + h - n*h = 41, o + 5*h + 21 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3 + (sqrt(3) + (sqrt(3) - (sqrt(3)*2 + 5)) - sqrt(3))*5 + -3))**2.\nAnswer: 9000*sqrt(3) + 25200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.4, -73, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/367286 and -113\/18?\nAnswer: 3305574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1882 + 1010800?\nAnswer: 1012682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/2)\/l)**(22\/5)*(l**(-3)\/l)\/l**(2\/7) assuming l is positive.\nAnswer: l**(-227\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - -24 - (3 + -1). Let i = -14 + v. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11250 divided by 625\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -8, -2, 4, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l - 167 = -439. Suppose -l*u = -32*u - 12. What is the lowest common multiple of u and 182?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.15 + -0.1. Let h = -9.45 - -10. Let t = m - h. Which is the nearest to 3? (a) 0.5 (b) t (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 90, 1169, 3402, 6789, 11330, 17025, 23874?\n\"Answer: 577*y**2 - 652*y + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 0 = -24. Suppose -2*n - s = -0*n. Let p = n + 5. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5 = -3*w. Let f be (w\/(-10))\/((-10)\/(-52)). Is f bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - ((-1 + 2 - -6) + 16).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -j**6\/24 + 5*j**4\/8 + 5*j**3\/3 + j**2\/2 - 2. Let m(u) be the second derivative of d(u). Determine k, given that m(k) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*k + 32*k = -14. Suppose 7*u = k*u - 21. What is the lowest common multiple of (-3)\/(-12) + (-7)\/(-4) and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2 + 1*(0 + sqrt(162))*6 + (-3 + ((0 + sqrt(162) + 1 - sqrt(162) - sqrt(162)) + sqrt(162) + sqrt(162))*-4)**2.\nAnswer: 558*sqrt(2) + 2644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 1, -29, 3, -11, -2.\nAnswer: -29, -11, -2, 1, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-162)*6 - 90\/(-225)?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1288, 1292, 1328, 1414, 1568, 1808, 2152, 2618?\n\"Answer: 3*j**3 - 2*j**2 - 11*j + 1298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 622, -2, -3, 5, 4 in descending order.\nAnswer: 622, 5, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1093 is divided by 108.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(405)*-1)**2 + sqrt(20)\/(1*sqrt(4)))*-5 + 0)*2.\nAnswer: -4050 - 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*r - 78*r + 4*a = -248, 0 = 2*a + 4. Let n be 17*(r\/(-100) + 24\/(-10)). Is -44 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 68 = z, 5*l + 4*z - 50 + 128 = 0. Let p = l + 21. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49*i**5 + i**3*v**2 + 11*i**2*v**2 - 148*i*v**2 wrt i?\nAnswer: 2940*i**2 + 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 426789569 to the nearest integer?\nAnswer: 753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/(-7)*3829\/1641.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 186 (b) -3\/20 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 100438379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19040006 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22531, 48396, 74249, 100084, 125895?\nAnswer: 151676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 18*d**2 + 16*d - 37. Give y(-17).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(-25)*-5*-35. Let t = -6 - j. List the prime factors of (t\/(-2))\/((-1)\/6).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 - 7 - -4703*(-7 + 270) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -178*f**2*z**3 - 9*f**2*z + 2*f*z**3 + 4546*f*z**2 - 97*z**3 wrt z?\nAnswer: -1068*f**2 + 12*f - 582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -945081.8 - 0.2.\nAnswer: -945082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 21*a + 104. Let x be i(13). Suppose -235 = 4*y + 3*m, -y + 2*m + 0*m - 56 = x. Is y greater than -178\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -570*p**2 + 314*p?\nAnswer: -1140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1122002 (base 3) to base 15\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2234797?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1809927243?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x + 15. Let i be l(6). Suppose 6*w = 2*w - i*o + 486, w - 114 = 3*o. 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: Divide 6073764 by 4.\nAnswer: 1518441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1368086, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q - 6. Let s be y(-4). Let u be ((-55)\/22)\/(-1 - 26\/(-28)). Suppose 9*f = u - 17. Solve -f*i = -0*i - s for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13828 and 3912.\nAnswer: 13523784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = 2*w. Let o be 2*-10*1\/(-4). Suppose 0 = -w*s + 19 + o. Calculate the smallest common multiple of s and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**9*x)**(3\/13)*(x\/(x*(x*x*x*x**(2\/9)*x*x)\/x))\/x*x*x**(-1\/35)*x)**(1\/4) assuming x is positive.\nAnswer: x**(-1931\/8190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 - 10 = -7*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4873\/11310 + 77\/435. What is the common denominator of q and -1\/715?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 8:47 PM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5, 40, 93, 158, 229?\n\"Answer: -u**3 + 15*u**2 - 3*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-73462)\/(-36) - (-6)\/27. Let l = 2030 - w. Let a = -738 + 2239\/3. What is the common denominator of l and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.03231283 <= 0.08?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)*2 - sqrt(88))*2)\/((1*sqrt(88))\/sqrt(11)).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 41143, 4 in decreasing order.\nAnswer: 41143, 13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) -0.09312 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**2 + z + 4 + 5 - 9 as r*z**2 + t + s*z and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5140 or -5139?\nAnswer: -5139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -38 and -44 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 6*m - 8 = -4*m, 0 = 4*u - 5*m + 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1934 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2970 and 5170?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 8:34 PM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-3) + (-114)\/(-18). Suppose h = 4*u - 7 - 5, -u + h = -y. Suppose -u*g + 8 = 2*g. What is the lowest common multiple of 18 and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (6\/2 + 2). Let s = 5 + d. Let q be 18*(-4)\/440 + (-6)\/30. Is s > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of d**2 - d + 10. Give h(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 19, 40, 69, 106, 151, 204?\nAnswer: 265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 733 divide 40519507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1373 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31826156?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -2*o + 2*o. Suppose o = 7*y - 169 + 155. Solve -12 = -y*u - 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315*c + 322*c = -7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26.68 + 4.38. Round o to 0 decimal places.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (2 - 9)) + -9 + 3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 945 - 945 - 34*o - 78*o.\nAnswer: -112*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31*b**2*h + 405*b**2*l + 2*b**2 + b*h*l wrt h.\nAnswer: 31*b**2 + b*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u + 3*u + 1070 - 12*u**2 + 2*u - 16*u.\nAnswer: -12*u**2 - 10*u + 1070","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 110201040 (base 5) in base 7?\nAnswer: 4016156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 42\/11 (b) 1865 (c) -290 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 196, 400, 612, 832?\nAnswer: 1060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 625 by 4093.\nAnswer: 625\/4093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*x - 2*g + 4, -2*x - g = -7 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*j**3 + 6*j**3 - j**3)*(j + 0*j - 2*j) + 2*j**4 - 4*j + 4*j - 2*j**4 + 2*j**4 - 1 + 5*j**4 to o*j**2 + t*j**3 + h*j**4 + l + c*j and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -410, -0.05, 2, -0.2, 6?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6340216 is divided by 117411?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 11:10 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 547589434 to the power of 1\/3, to the nearest integer?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 709260 is divided by 723.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 2*n**2 + 2*n - 1. Let p be v(2). Suppose -3 = -p*t + 3. Suppose -t - 3 = -o. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, d: 1, w: 1, q: 6, b: 1}. Give prob of picking 2 r and 1 q.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -49*x + 44*x - 35 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 265, 251, 237, 223, 209, 195?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -6820*w - 66. Let i(u) = -207*u - 2. Let k(c) = 33*i(c) - s(c). Let j(x) = 2*x - 3*x**2 - 2*x. Calculate j(k(f)).\nAnswer: -363*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101001012 - 10?\nAnswer: 101001002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of 0*c + 0 + 0*c**4 - 8*c**2 + 1\/30*c**5 + 1\/3*c**3 - 1\/30*c**6. List the prime factors of t(-2).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3158, 156, -47 in increasing order.\nAnswer: -47, 156, 3158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - (12\/21 - (-495)\/(-21)). What is the remainder when 70 is divided by ((-90)\/h)\/(6\/(-54))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 12*w**2 + 1. Let s be y(1). Suppose s = 4*p + 9. List the prime factors of 179 - 2 - (2 + p + 1).\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-4 + -1 - -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 9:59 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1179 is divided by 61 - (5123\/763 + (-5)\/((-35)\/2)).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-9\/5)\/o*o*o*o*o**(-1)\/o)\/(o**(2\/11)*o\/(o*o\/(o*o**(-26)))) assuming o is positive.\nAnswer: o**(1321\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 581 divide 27091449?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let q be -6 - 3\/2*-2 - -38. Suppose -2*b = 5*b - q. Suppose w - 2*k = 6*w - 420504, -b*k = -w + 84090. What is w rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4725 and 4375.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*o = -2*o + 25, 20 = n - 3*o. Suppose 9 = 5*b - n. Suppose 0 = b*r - v - 2971, 4*r = 4*v + 3530 - 562. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -83*p**3 - 4*p**2 - 2*p + 1. Let o be 3\/(-2) - 7\/14. Is a(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 71 + 79. What is the highest common factor of 50 and q?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 7 + 6)*((1 - 3 + 4)*(-2 + 3 + 1) + 1 + 1 - 3)*(d**2 - 2 - 2*d**2 + 2*d**2) + 171*d**2 - 180*d**2 - 428*d**2 to u*d**2 + l*d + i and give u.\nAnswer: -461","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17553.\nAnswer: 3, 5851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-4 - -6 - 39\/26).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -198, -88, -7, -3, -4, 0 in descending order.\nAnswer: 0, -3, -4, -7, -88, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 12*g + 2. Let q be c(4). Let d be 6\/(-10) + 30\/q. Solve d = -n - 3*n + 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 966*w**2 - 103197*w - 17655.\nAnswer: 3*(w - 107)*(322*w + 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -o**4\/4 - 2*o**3 - 3*o**2\/2 - 2*o - 21. Calculate h(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3664.7 and 0.03.\nAnswer: 109.941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10676889?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 11*t + 12*t - 254430 = 0, 4*t = -k - 50886. Is 53 a factor of k\/(-48) - ((-30)\/16 + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -0.3 (b) -7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8722, 17464, 26200, 34924, 43630, 52312, 60964?\n\"Answer: -d**3 + 3*d**2 + 8740*d - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 1. Let c(t) be the third derivative of t**5\/10 - t**4\/24 + t**3\/2 + 11*t**2. Let b = -50 - -44. Let f(r) = b*n(r) + 2*c(r). Factor f(q).\nAnswer: 2*q*(3*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 442 + -260. Is g a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 769 less than 108?\nAnswer: -661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (55\/(-110))\/((-3)\/(-2))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.67 - -0.17. Let c = b + 5.4. Let d = -0.032 + -2.968. What is the closest to c in d, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 6 + (-7 - (-5 + 1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 422382561 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 57*u + 117. Let n(m) = 17*m - 745 + 41*m + 862. Let h(a) = 2*n(a) - 3*z(a). What is the derivative of h(w) wrt w?\nAnswer: -55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8253 is divided by 490.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - ((-1 - -5) + 21)) + (-101 - -106).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 0 (c) -0.2 (d) -9 (e) 1\/72 (f) -0.0419\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s - 43*s**2 + 6*s + 6 + 39*s**2)*(-2 + 2 - 2*s**3).\nAnswer: 8*s**5 - 4*s**4 - 12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {i: 6, g: 2, n: 11}?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 11. Let w = -11 + f. Let x = 27 + -26.6. Sort x, 0.04, w in descending order.\nAnswer: x, 0.04, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1 - 1 + 6 - 2 - 4 + 4 - 1 + (2 - 6 + 3)*(5 + 2 - 6) - 2 - 2 + 2 - 2 + 5 - 1 - 1 - 1 + 4)*(-3*h**4 + 0*h**4 + 2*h**4).\nAnswer: -2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 - 30*t + 12. Determine a(15).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 20 = -5*f. Suppose -3 - 22 = -f*t. Suppose -t*r = -r - 28. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3804886 - -10?\nAnswer: 3805006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244 = -4*d - 4. Suppose -3*p = 4*f - 35, 2*f = -2*f + 4*p. Suppose 0 = -f*j + 2*j + d. Is j a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 3*p - 42, -11*m + 4*p - 125 - 9 + 10 = 0 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 6*l + 6. Let x be b(-5). Let i(p) = -85*p**2 + x - p**3 + p + 83*p**2 + 3*p. Give i(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -21, 4, -235, 2 in increasing order.\nAnswer: -235, -21, -5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m. Let v(g) = -g + 501870. Calculate v(k(h)).\nAnswer: h + 501870","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 4*n - 8. Let h be o(6). Suppose 0 = h*t + 5*k - 115 + 28, 3*t + 5*k = 64. Calculate the greatest common factor of 92 and t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/15 of a minute?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 0) + 4 + 1 + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 379.4316 times 0.2\nAnswer: 75.88632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11210 and 7847.\nAnswer: 78470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -6*f + 1. Let p(m) be the first derivative of 11*m**2\/2 - m + 8. Suppose 7*a - 204 + 2206 = 0. Let i be 2\/10 + a\/55. What is i*t(y) - 3*p(y)?\nAnswer: -3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/(-4))\/(((-66)\/(-2))\/(-6288 + 6294))?\nAnswer: -27\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**4 + 20384*b**5 - 20509*b**5 - b + 211*b**2 + b - 18*b**2 wrt b.\nAnswer: -7500*b**2 + 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 236 - 236.0362. Let g = 20.2638 - w. Let n = -20 + g. What is the nearest to 1 in -4, -2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -4*n**3 + 376*n**2 + 13868*n + 49200 = 0.\nAnswer: -25, -4, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.528 plus -0.9?\nAnswer: 0.628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 392, 623, 752, 785, 728, 587, 368?\n\"Answer: m**3 - 57*m**2 + 395*m + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -40*d + 0 + 0*d**2 - 2\/3*d**3 - 1\/3*d**4. Factor i(r).\nAnswer: -4*r*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 9 = 2*f, -7*f + 12*f - 15 = -5*c. Calculate the greatest common factor of 5 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4*j = 10, -j - 2 = -6*f + 2*f. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 473.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 3*a**2 + 2*a - 4. Suppose -2*w - 13 = -4*o - 35, 0 = o + w - 2. What are the prime factors of q(o)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2627837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -549, 1 in decreasing order.\nAnswer: 1, -1, -549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 1 + 23. Let c(b) = -b**2 + 4*b + 5. Let g be c(5). Calculate the least common multiple of ((-3 - -2) + g)\/(-1) and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x. Let r(j) = -7989883*j. Give n(r(u)).\nAnswer: 7989883*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -w. Suppose -s + w*s + 3 = 0. What is the derivative of 7 - s*j**3 - 2 + j**3 - 2*j**3 wrt j?\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 10*u**4 - 679*u**3 - 5318*u**2 - 525*u = 0.\nAnswer: -7, -1\/10, 0, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 9 - -7) + -6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 3*o + 6, -4*o + 31*h - 34*h = 1. Suppose 2*s - 8 = 0, 0*i - s = o*i - 10. Solve -3\/4*t**i - 1\/4*t**2 - 3\/4*t**4 + 0*t + 0 - 1\/4*t**5 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 4749413200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 2 - -7) + 5 + -2\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t + 2 + 4 - 324*t**2 - 9 + 3 to a*t**2 + c*t + h and give a.\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 7*a - 8. Let b(u) = 8*u - 9. Suppose -g = 3*g + 5*n - 81, n = 5. Suppose -g = -q + 5*r, -1 - 1 = -3*q + 5*r. Determine q*b(m) + 7*w(m).\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 15*r**2 - 3*r - 2. Suppose -4*w - 96 = 4*b, -2*w - 6*b - 48 = -b. Let v = 9 + w. Is d(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 4, 4*w + 10 = b - 1. Let j(s) = -s + 2. Determine j(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a micrometer in nanometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 8*v**2. Let u(t) be the third derivative of t**5\/20 - 7*t**4\/24 - 185*t**2 + 3*t - 2. Determine s(u(q)).\nAnswer: 72*q**4 - 336*q**3 + 392*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 + -0.2. Let q be 758\/222 + -3 + (-1)\/3. Let m = 25\/148 + q. What is the nearest to 1\/4 in c, -2\/25, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 2*f = -8. Let n = -1 + f. Solve 9 = -2*r - 4*g + n, -4*g = 5*r - 9 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*r + 7939 = 1150. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 106992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25360 + -14945. Is c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1858 + 1714 = 24*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2275 = 5*u + h - 764, -5*u + 4*h + 3069 = 0. Calculate the smallest common multiple of 6 and u.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 911 a factor of 2151879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of q**3 - 4. Let l(x) = 3*x - 3*x + 4*x**2. What is l(z(t))?\nAnswer: 36*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**5\/8 + 2389*i**4\/8 + 98527*i**3\/8 - 110477*i**2\/8 - 98531*i\/2 + 100921\/2 = 0.\nAnswer: -2347, -43, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -11*k**2 - 28*k. Let w(o) = -6*o**2 - 16*o. Let b(j) = 4*m(j) - 7*w(j). Let h(s) = -7*s**2 + 30. Give h(b(t)).\nAnswer: -28*t**4 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -47 + 41 + s**4 + 5*s**2 + 2*s + 7*s**3 - 9*s.\nAnswer: (s - 1)*(s + 1)**2*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*d - 230 = -41*d. What is the hundreds digit of 12\/(-138) - (-12746)\/d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -324333 divided by -56.\nAnswer: 324333\/56","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 2695 + -2679. Solve -g*j + 17*j = 2*f - 6, 3*f - 3 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 6*d**2 + 5*d - 5. Give f(7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 5 - 15, 0 = -b - 2*j - 11. Let p be 6\/(b - -4) - -2. Is p\/(-10) + (-1122)\/(-30) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -19*o**4 + 6*o**2 - 122*o + 6. Let p(f) = 20*f**4 - 5*f**2 + 122*f - 5. Let y(d) = 5*g(d) + 6*p(d). What is the second derivative of y(i) wrt i?\nAnswer: 300*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2021021 + -102?\nAnswer: -2021200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7384 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 9*u + 2. Suppose -4*d + 27 = -q - 61, 4*d + q - 96 = 0. Suppose -4*m + j = 7 + 28, 0 = -2*m - 5*j - d. Determine f(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**4 + 4 - 2 + 3 + (-3*l**2 + l**2 - l**2)*(-4*l + 3*l**2 + 4*l) + l**4 + l**4 + 0*l**4.\nAnswer: -10*l**4 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of 0*v - 2\/15*v**5 + 0*v**4 + 20*v**2 + 0 - 1\/2*v**3. Differentiate n(y) wrt y.\nAnswer: -16*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 285.9884 decades?\nAnswer: 28.59884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -51*u - 4. Let c(v) = 17*v + 1. Let y(o) = -11*c(o) - 4*d(o). Let x be y(-5). Find the common denominator of (-244)\/x - 2 - 1 and 27\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 10 = 3*d, -2*o - 4*d + 40 = -6*o. Let m = -7 - o. What is the nearest to -3 in m, 0, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*c**3 - 13*c**2 + 11*c + 5.\nAnswer: 84*c - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(380) - sqrt(380))*3)\/sqrt(10))\/((sqrt(24)*-1)\/sqrt(12) + sqrt(2) - (sqrt(36)\/sqrt(3))\/sqrt(6)).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g**10*g)\/g))\/g*g*g**3)\/(g**(-6\/17)\/(g**(-18)\/g)) assuming g is positive.\nAnswer: g**(-419\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 11:40 PM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*w**4 + 92511*w**3 - 3225156*w.\nAnswer: 24*w**2 + 555066*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1437, 2875, 4313, 5751, 7189?\n\"Answer: 1438*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -3. Let b(v) = v**3 + 6*v**2 + 6*v + 7. Let c be b(-5). What is the second derivative of 2*p - p - 3*p**3 + c*p**x wrt p?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**3\/3 + 2092*g**2\/3 + 4187*g\/3 + 698 = 0 for g.\nAnswer: -1, 2094","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -8, -3, 4, 0 in ascending order.\nAnswer: -11, -8, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19.7 + -20. What is the closest to -0.1 in 0, -2, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 2\/3, -10, 848\/29?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -18*m - 3. Suppose 22*d = 18 - 62. Let x(q) = -17*q - 2. Give d*j(v) + 3*x(v).\nAnswer: -15*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.685 and -10.\nAnswer: -56.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 31 - 46 - (3 - 18). Let p(q) be the first derivative of 31 + r*q**2 + 27*q + 10\/3*q**3. What is the derivative of p(o) wrt o?\nAnswer: 20*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 + -30. Is 6\/25 smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -11*o + 23. Let w be n(2). Factor 1\/2*m**3 - w + 5\/2*m - 2*m**2.\nAnswer: (m - 2)*(m - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7154 + -6729.\nAnswer: -13883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114281, -114291, -114301, -114311?\nAnswer: -114321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.579 to 1 dp.\nAnswer: 10.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-5\/4)*b)\/b**(-3)*(b**(-1))**31)**10 assuming b is positive.\nAnswer: b**(-565\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 87 - 87 - 11*t**4 + (0*t**2 + t**2 + 0*t**2)*(-2*t**2 + 0 + 0) + t + t**4 + t + 0 - 2.\nAnswer: -12*t**4 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 846 is divided by 212.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7 - (3 - 4)) + 7)*0\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 21*i**2 - 5*i + 8. What is a(21)?\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -14.71, 5, 1\/3, -6\/17 in descending order.\nAnswer: 5, 1\/3, -6\/17, -14.71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(-5)\/1*(-17)\/(-68)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 501 + -502. Put -5, 1, 5, y in descending order.\nAnswer: 5, 1, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1)*h*h\/h**3)**28 assuming h is positive.\nAnswer: h**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(2\/3)\/f*f)\/f)\/f)**(-23))**(2\/55) assuming f is positive.\nAnswer: f**(184\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -4256\nAnswer: -4258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0, -48, -3\/14, 2?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/2)*m\/m**(-6))\/(m**(1\/2)\/(m*m**(-3))))\/((m**(-1\/4))**(-3\/22)*(m**(-1\/4)*m)**(-10\/9)) assuming m is positive.\nAnswer: m**(1267\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -496 + 12*q**3 + 3*q**3 - 482 + 976 - 3*q**2 + 3*q**2.\nAnswer: 15*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + -4 + -2 + 3*10. Suppose -8*u - u = -h. Suppose 2*l = -0*k + u*k + 280, 3*l = 4*k + 418. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44365405 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -26*h + 13*h + 2*h. Let z(t) = -3*t. Calculate z(q(j)).\nAnswer: 33*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*-10.1215.\nAnswer: 80.972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 + 24*d - 8)*(-2*d + 0*d + 0*d) + (-2 - d + 2)*(4*d - 2*d + 0*d) + (-2*d**2 + 0 + 0)*(1 + 0 + 0) to a*d + g*d**2 + b and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 216 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1841 and 3703.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1224 + -142. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9015326 + -9015324.3600109. Let h = 1.64 - b. Round h to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*s + 99 = -0*s, -y - 5*s + 33 = 0. Calculate the remainder when 63 is divided by y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-0.815425\nAnswer: -0.2446275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 6 = -3*u. Suppose u*x - 37 = x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -6*t**3 - 15*t**2 - 36*t - 92. Is g(-17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n**3 + 390*n**2 + 7605*n = 0. What is n?\nAnswer: -39, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 9*k. Let p be q(8). Let n = 12 - p. Is 20 a factor of n\/(-14) - (-282)\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 14) in base 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4425229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -h**7\/90 - 2*h**6\/45 - h**5\/45 - 3*h**2 + 14*h. What is f in d(f) = 0?\nAnswer: -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 766613*0.03.\nAnswer: 22998.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2597)\/(-1855)*(2 + 7\/(-6))?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*x = -75. Let y be (-24)\/(-10) - 15\/x. Suppose -3*c - 3*f = -f - 48, -y*f - 48 = -3*c. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100099584 and 702?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 - -38. Suppose -x + 4*l = l - d, 3*l + 18 = -x. Let n be -4*(33\/6 + x). Which is bigger: -9 or n?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -3*r**5\/80 + 7*r**4\/96 - r**3\/48 + 24*r. Factor t(c).\nAnswer: -c*(c - 1)*(6*c - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1778966, 1778960, 1778954?\n\"Answer: -6*d + 1778972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in ninety-one quarters of a meter?\nAnswer: 2275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 - 35. Let p be (-41)\/(h + 28\/(-32)). Let t = 517 + p. What is the greatest common factor of t and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 65906*j - 263629. Calculate u(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 g when three letters picked without replacement from xnuuxnxlxnznguxx?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -1, -0.62?\nAnswer: -0.62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2114*n - 1116*n - 1077*n - 948 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u - 6. Let l be j(-3). Let a = l - -7. What is the tens digit of (35\/(-2))\/(a\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -65, -101, -137, -173, -209, -245?\n\"Answer: -36*k - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*a**2 + 11 + 37*a - 37*a wrt a.\nAnswer: -20*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 9*i - 30. Let y be t(-5). Let z be (-39)\/(-6) - (3 - y\/(-4)). Solve 4*s - z*s = -6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 4*b - 1. Let h(k) = -6 - 6 + 14*k + 1 + 3 - k**2. Let t(y) = 5*y - 62. Let g be t(15). Let q be h(g). Give n(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**33*z)\/(z**45*z)*z**44*z**(6\/25) assuming z is positive.\nAnswer: z**(806\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 divided by -1?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 428.356 hours to seconds.\nAnswer: 1542081.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -6281501.5 to the nearest 100000.\nAnswer: -6300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16337080 and 265.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 4*b**3\/3 - 3264*b**2 + 2663424*b + 770. Factor y(c).\nAnswer: 4*(c - 816)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 40, 73, 140, 253, 424, 665, 988?\nAnswer: 1405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3162)\/(-31)*32\/(-64).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5516027218.\nAnswer: 2, 13, 19, 131, 85237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 200.5\nAnswer: 40.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 - 63 = 18*f + 9 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2071861889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1313715*h**4 + 8*h - 110094 wrt h?\nAnswer: -15764580*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -386, -1519, -3398, -6017, -9370?\nAnswer: -13451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7512163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132 divided by 1499.\nAnswer: -132\/1499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*q**2 - 636*q - 160.\nAnswer: 4*(q - 40)*(4*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-2*sqrt(17) + sqrt(17))*5 + sqrt(17)).\nAnswer: 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -482.07798+14\nAnswer: -468.07798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 3974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -h**5\/30 - h**4\/8 + h**3\/2 + h. Let w(v) be the second derivative of r(v). Is w(-3) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114330 a multiple of 206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -367 + 358 = 3*d. Let i(s) = 0*s**3 - s**3 + 3 - s**3 + 4*s**2 + 3*s. Let p(u) = u**3 + 10*u**2 + 3*u**2 - 2*u - 16*u**2 - 3. Determine d*p(q) - 2*i(q).\nAnswer: q**3 + q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*v + 16*v + 355. Let b = -71 + v. Solve c + 14 = -5*j, -4 = -2*j + 2*c - b for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25211997 to the nearest 10000.\nAnswer: 25210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*t - 45*t - 5 = 0, 5*t = 2*w - 3407. What is the greatest common divisor of 14 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)\/sqrt(3)*-4 - sqrt(39))\/sqrt(300).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1566432 or -1566431?\nAnswer: -1566432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19925, 19909, 19903, 19913, 19945, 20005?\nAnswer: 20099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64769 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a century in months?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 1. Let z(a) = -a + 8. Let j be z(2). Suppose 4*n + b + j + 0 = 0, -2*b - 6 = 5*n. Calculate u(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**5 + 5*v**3 - 4*v. Let t(k) = -6*k + 7*k**3 - 4*k**5 + 0*k + k**5. Let b(d) = -7*s(d) + 5*t(d). What is the second derivative of b(z) wrt z?\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*y - 116 + 230 = 722 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/10)\/(90\/5700))\/(40\/15).\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = 51 - 79. Factor -31*i**3 + 18*i**h + 58*i**3 + 12*i**2 + 0*i**5 - 2*i**5 + 5*i**5.\nAnswer: 3*i**2*(i + 1)**2*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 325800 + 3?\nAnswer: 325803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-22)*28\/28*-4.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(2*1\/4). Suppose -q + 4*q = x + 4, 12 = p*q - 3*x. Let b = q + 2. Solve 4*c = b*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -b + 3 - 1\/2*b**2. Let p(g) = g**2 - 5*g - 5. Let c(k) = 4*k - 17. Let o be c(5). Calculate o*t(i) - p(i).\nAnswer: -i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 3 - 1262*m + 3 - 12 to the form b + f*m and give f.\nAnswer: -1262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**4 - 3348*m**3 + 23553*m**2 - 33690*m = 0.\nAnswer: -1123, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**2 + 2 - 131*l - 175*l + 2*l**2 + 80*l.\nAnswer: -2*l**2 - 226*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185688.\nAnswer: 2, 3, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 447a63 (base 11) in base 4?\nAnswer: 2232022110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3656, 3645, 3618, 3569, 3492, 3381, 3230?\nAnswer: 3033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -38 in 7\/3, -1.56, -3\/2?\nAnswer: -1.56","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: (85\/(-34))\/(35\/(-2))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = -7*y + 6*f - 0*f, 9*y - 5*y - 1 = 5*y + f for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10502 is divided by 364.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/7 (b) 2 (c) 102487 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37096.6 + -11737.4. Let u = -48777.029 - w. Let r = u + -57. Round r to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7800.366mm to micrometers.\nAnswer: 7800366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10016116?\nAnswer: 2, 11, 19, 11981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*w**6 - 3*w**2 + 2*w**6 + 12*w**2 + 12*w**6 wrt w?\nAnswer: 3000*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000004547 to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.276306 grams to tonnes.\nAnswer: 0.000009276306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 3*u = -51, 5335*h = 5339*h - 5*u + 69 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**2 - 35. Let g(r) be the third derivative of -r**5\/6 + 729*r**2. Calculate m(g(n)).\nAnswer: -200*n**4 - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 60 = 3*w + 2*w, 0 = 4*w + 8. Calculate the remainder when a is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 516613837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 3*c**2. Suppose 0 = -3*b + 7*b + 24. Calculate the lowest common multiple of b\/21 + (-142)\/(-7) and r(-4).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 393 divided by 3.\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -142723398, -285446795, -428170192, -570893589?\nAnswer: -713616986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40503*l + 40504*l - 26 = 2*b, 2*b + 138 = 5*l for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4607, 37312, 126217, 299426, 585043, 1011172, 1605917?\n\"Answer: 4684*v**3 - 4*v**2 - 71*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 12) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -1) + (-1 - (-3 + 5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*l + 19*l + 36*l)*(-22 - 31 + 31)*(-5*l**2 + 2*l**2 + 2*l**2) to z*l**3 + c*l + a*l**2 + n and give z.\nAnswer: 1320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + ((-2)\/2 - 0). Suppose -5*t + 10 = -0*t + 3*d, 3*t + 2*d - 5 = h. Suppose 0 - t = p. Sort -4, 1, p in ascending order.\nAnswer: p, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4336*s + 342578. What is k(79)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 105275550 less than -63.71?\nAnswer: -105275613.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46164.\nAnswer: 2, 3, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 17*r**2 + 6877*r - 76352. Calculate b(11).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v + 0*v + 0*v + 2. Let g(h) = 1. Let t(x) = -7*g(x) + 2*w(x). What is the remainder when 8 is divided by t(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88, -89, -90, -91, -92?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**32*l**(-12)\/l)**(-47) assuming l is positive.\nAnswer: l**2068","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 31 = 3*j, -37 + 0 = 5*y + 2*j. Let v be (-9 - -10)\/(-6 + 23\/4). Which is the second smallest value? (a) y (b) v (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 14457718143\nAnswer: -14457718143.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 19 = 2*x + 2*g, 0 = 3*x + g - 23. Suppose -x*z = -4680 - 10768. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)*2 + sqrt(156))*2)\/sqrt(12).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 237681574807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5710907356?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 864\/40 - (4\/(-5))\/2. What is the greatest common divisor of a and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.31 + -0.34. Let z be (2\/284)\/((-16)\/96). Let w = z - 121\/497. Is w at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 5*q + 22. Is q a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/8 (b) 48\/13 (c) 0.611 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/2 + (-20)\/(-8). Which is smaller: 2\/33 or q?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7643 times -0.21?\nAnswer: -1605.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 11*p**3 + 3*p + 26. Let o(x) = 23*x**3 + 7*x + 52. Determine -7*g(k) + 3*o(k).\nAnswer: -8*k**3 - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*q + 4*y + 9, -5*q - 5*y - 25 = 0. Suppose -j + 4*p - 11 = p, j + 5*p - 29 = q. Solve 5*o + i = -j*i + 10, i = o + 8 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 22070, 44130, 66190, 88250, 110310, 132370?\n\"Answer: 22060*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1849 + 1875. Calculate the remainder when 34 is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -24799, 5 in ascending order.\nAnswer: -24799, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of 125\/756*x**8 + 1\/3*x**6 - 4*x**2 + 0 + 1\/54*x**4 + 80\/189*x**7 + 0*x**3 + 16\/135*x**5 + 0*x. Solve v(f) = 0.\nAnswer: -1, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 6*k**4 - 5*k**3 - 5*k**2. Let a(s) = 7*s**4 - 6*s**3 - 6*s**2 + s. Let d(g) = -5*a(g) + 6*b(g). Find the second derivative of d(n) wrt n.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 167688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j - 5. Let h be d(8). Solve -2*k - 5*z = -k + 27, -h = -3*k + 5*z for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 82632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*1*(sqrt(98) + 1) - (sqrt(98)*1*4 + -4))*4)**2.\nAnswer: 4480*sqrt(2) + 156864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 266231 and -1892.7?\nAnswer: 268123.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 13319\/(-1197) - 2\/21?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11363982 and 882?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of 0*p**4 - 2 + 8*p**2 + 5\/6*p**3 + 0*p + 0*p**5 - 23\/60*p**6. What is the first derivative of v(u) wrt u?\nAnswer: -138*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/5 + 1\/10. Let k be -54 + (-2 + 2)\/3. Let o = k + 164\/3. Which is the nearest to o? (a) 2\/9 (b) p (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 20 = 5*n, 27 = -8*n + 3*n + 2*x. Let p(c) = -c**2 - 12*c - 10. What are the prime factors of p(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 296 divide 270544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 292 and 459754.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 33\/39 - -1 - (-2)\/13. Let o(b) = 166 - b**3 - 178 + b - b**y + 492. Let g be o(0). What is g rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.019 - 0.219. Which is the second smallest value? (a) h (b) -0.1 (c) -3\/10 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 619967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 10 - 20. Let r be (0 + 0)\/(p + 6). Suppose r = f - 16 - 5. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 9*y. Let p(t) be the first derivative of 25*t**3\/3 + 215. Give p(n(z)).\nAnswer: 2025*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * 2.99937\nAnswer: -0.0599874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5708*n - 63866 - 615386 for n.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(-12) + (-18)\/(-8). Let x = y + 2. Suppose x*q - 204 = -69. Calculate the highest common factor of q and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14083 = -10*p + 39917. What is p rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/513 and 4\/15.\nAnswer: 2565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1085 - -1090. Solve -5*o - 30 = r*i, -2*i = o + 5 + 6 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*s - 6251 - 44576 = 8135. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 + 188 - 68 + 5*m - 60.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of u**3*z**3 - 44046025*u**3 + 2*u**2*z**3 - 2*u**2*z**2 - 18*u**2 + 197482 wrt u?\nAnswer: 6*z**3 - 264276150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3463009 is divided by 5840?\nAnswer: 5729","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5167, -20395, -45689, -81049, -126475, -181967, -247525?\n\"Answer: -5033*k**2 - 129*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -8*f + 6. Let y be 3*(5 - 70\/21). Let b(m) = -9*m + 7. Determine y*b(z) - 6*c(z).\nAnswer: 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 35290187, 35290183, 35290177, 35290169, 35290159, 35290147?\n\"Answer: -c**2 - c + 35290189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/5))**(4\/19)*(v**(2\/9))**(4\/7) assuming v is positive.\nAnswer: v**(1264\/5985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5385726679 to 2 decimal places.\nAnswer: 0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + (-960)\/95)*-10*(-1)\/(-170).\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -38707, -6\/215, 1?\nAnswer: -6\/215","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 9*h**2 - 7*h - 4. Let x be l(8). Let q(j) = -j + 2. Let r be q(0). Let p = x - r. Solve -6 = -2*s + p for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q + 1. Let v(i) = 4903*i - 1 - 4904*i + 1 + 1 - 4. Calculate -5*m(w) - 2*v(w).\nAnswer: -3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 48 in descending order.\nAnswer: 48, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a tonne in kilograms?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -432 - -421. Let i(m) = -m**2 - 13*m - 10. Calculate i(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -0.042, 4\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 3 + 2 + 3 + 5*p - 1. Let m be g(-6). Let b = -5 + m. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 5:01 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -84 - -325\/4. Put -5, s, -4 in descending order.\nAnswer: s, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-27)*-3)\/((48\/(-117))\/(-8))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*d**3*o**2 - 2*d**3 - 2556756*d**2*o**3 - 65022*d**2 - 37 wrt o.\nAnswer: 8*d**3*o - 7670268*d**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 4822*f + 91246. Give v(-19).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87 and 209757.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1236383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -56*s + 58*s + 5*y, -2*s - 3*y + 19 = 0. Solve -p - 3*n = -17, -2*n + 30 = s*p + 2*n for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -57*h - 2*t + 230, 49*t + 4 = 111*t - 58*t for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -1 - 1\/2*c**2 - 4*c. What is n(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, y: 2, i: 1, n: 1}. Give prob of sequence enyy.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.9 - 1.1. Let q = -0.3 - -0.1. What is the nearest to 0.1 in -0.4, q, h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6907, -6183, -5495, -4861, -4299, -3827?\n\"Answer: -3*t**3 + 745*t - 7649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 557*n**3 + 5*n - 1 - n - 2*n + 2*n.\nAnswer: 557*n**3 + 4*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3 - (5 - 576\/2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40603.\nAnswer: 19, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -22, -3, -2408, -18, -2 in increasing order.\nAnswer: -2408, -22, -18, -5, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*g**2 - 25411 + 50542 - 25131.\nAnswer: -19*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 15) in base 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - w = -24321, -66 + 68 = -w. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**3\/5 - 71*d**2\/5 + 878*d\/5 - 1968\/5 = 0?\nAnswer: -82, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -1992 in descending order.\nAnswer: 3, -2, -1992","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/4 and 14\/513?\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 118235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 + 16. Let m be (25\/(-20) + 0)*n. Put m, 1, 6 in descending order.\nAnswer: 6, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 133200015 = -5*a, 13*a + 4*r + 79919988 = 16*a. Round a to the nearest 1000000.\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89746693?\nAnswer: 89746693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 9:18 PM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6234717?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -9 + 4 + 7 + (-40)\/15. Let f = 0.5 + -0.2. Which is the nearest to r? (a) -0.04 (b) -5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of 13*m**7\/3 - m**5\/20 + 234*m**4 + 26*m**2 - 41*m - 4. Find the second derivative of h(o) wrt o.\nAnswer: 10920*o**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4128 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 588710 divided by 10\nAnswer: 58871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11452662901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23 and 39767.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2 = -m - 6, 5*p - 22 = 2*m. What is the highest common factor of p and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3971 + 3970.99999482. Round i to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 49?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from immmamuaai. Give prob of picking 3 a.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3499.6 * 0.0955\nAnswer: -334.2118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -9148*r - 109769. What is u(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9042.\nAnswer: 2, 3, 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 70359 to the power of 1\/2, to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -424134232 (base 5) in base 12?\nAnswer: -722055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.8196*960.\nAnswer: 13266.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13577769 a multiple of 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -n**2 - 7\/6*n**3 - 2*n + 1\/12*n**4 - 180 + 11\/5*n**5. What is the second derivative of b(v) wrt v?\nAnswer: 264*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 2*g - 31. Suppose -1727*t = -1721*t - 42. Give d(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 18 = 6*t - t, -2*t = -5*f + 13. Let z be (-3)\/(f + (4 - 6)). Which is the nearest to -3? (a) z (b) 1\/2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -6, -26, 1509 in decreasing order.\nAnswer: 1509, 3, -6, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 781*l - 11 = 770*l. Solve 5*n + 18 = 4*q, -n - 3*q + l = -3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 452509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 160 = 4*v. Suppose 5*o + v = 3*h, 5*o + 10 = 3*h - 2*h. Suppose -s = 10 - 25. What is the highest common factor of s and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/90 - ((-1000)\/1086 - -2) and 27\/10.\nAnswer: 1810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7126*q + 33979*q - 7127*q - 19709*q.\nAnswer: 17*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 4, 2, -133 in descending order.\nAnswer: 4, 2, 0, -3, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 4*d + 41. Let g(l) = -l**2 - 68*l - 10. Let q be g(0). What is a(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2397354, 4794850, 7192346?\nAnswer: 9589842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -110*o**3 + 54*o**3 + 117*o**2 + 71*o**3 wrt o.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2534 - 2115. What is the remainder when d is divided by 29?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -7 (b) -0.4 (c) 19 (d) 0.53 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4.9 and 40.\nAnswer: 44.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -130, -949, -3160, -7459, -14542, -25105?\n\"Answer: -116*b**3 - 7*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -40*w - 5. Suppose -4*p - 16 = 2*t, 3*p = -3*t - 45 + 39. Let z(b) = 81*b + 11. Calculate p*z(f) - 13*r(f).\nAnswer: 34*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -96723.1 rounded to the nearest one thousand?\nAnswer: -97000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**4\/3 + 13682*b**3 + 82106*b**2\/3 - 41050*b = 0.\nAnswer: -3, 0, 1, 20525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -56*x - 3584. Let u be y(-65). Solve -54*o + 430 + u = 0 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55)\/(-11)*-1*(-230)\/(-150)*-3.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 0*t + 5*t + (-4*t + 6*t - 4*t)*(0 - 3 + 1) - 53 + 24 + 31 + 24*t)*(26 - 26 - 22*t**3).\nAnswer: -638*t**4 - 44*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*u**3*x + 2*u**3 - 5*u**2 + 2*u - x + 3 wrt u.\nAnswer: 12*u*x + 12*u - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c1361 - 4?\nAnswer: c135c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 54027.32kg?\nAnswer: 54.02732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00151 rounded to four dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*o + 32 - 315 = 97 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -248 less than 2992882253474?\nAnswer: 2992882253722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*o + 630000 = 47*o - 6*o. Is 140 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*k**3*t**5 + 12511479*k**3*t**3 - 4237*k**3*t**2 + 16*k**3*t + 116*t**2 - 3*t wrt t?\nAnswer: 180*k**3*t**2 + 75068874*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssqqenqsqsqqqnqns. What is prob of sequence nne?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*o - 9*o - 5*o)*(7 - 4 - 1)*(3*o - o + 0*o)*(-4 + 0 + 3 + (-1 - 1 + 0)*(1 - 6 + 1)).\nAnswer: -840*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36 + 10*c - 2*c**2 - 18 - 20 - c**3 to the form u*c**2 + i*c**3 + a*c + r and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)\/(sqrt(16)\/(sqrt(2)*-1 - sqrt(2)) - sqrt(8) - sqrt(8)))**2.\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/210 (b) 41 (c) -1 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4460 and 18?\nAnswer: 40140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*106988.3.\nAnswer: 53494.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 1:33 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 = -283*s - 637 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 10:30 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -225 + 237.1. Let s = -9.1 + r. Sort s, -1.1, 1\/4, -2 in descending order.\nAnswer: s, 1\/4, -1.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -283*o**3\/3 + 2. Let p(r) be the second derivative of r**3\/6 - 2*r + 90. What is p(x(z))?\nAnswer: -283*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -948*f**2*v**2 + 3*f**2*v + 6885*f**2 + 5*f*v + 2001*v**2 + v - 3 wrt v.\nAnswer: -1896*f**2 + 4002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a - 13 = 31 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-two fifths of a millennium?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3*18\/54*(-1 + 2123)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -168084, -335548, -503012, -670476, -837940, -1005404?\n\"Answer: -167464*m - 620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000071175485 to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b**2 + 102*b - 199*b + 97*b + 0*b**2.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -15. Suppose -o*q = 10 + 35. Let g be (-9)\/q*(-1 - -2). Is g >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -13. Suppose -n*x = -0*x - 129345. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -7*m**3\/3 - m**2 - 1531*m. Let k(p) = 3*p**2. Give k(r(v)).\nAnswer: 588*v**2 + 168*v + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-15)\/(-2))\/(33\/6 + -5). Solve 0 = 4*b, -2*s - s = 4*b + n for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = 3*n + 33. Suppose 6 = 3*v, 2*x + 2*x - 2*v = n. Let c(h) = -h**2 + 12*h + 9. What is the tens digit of c(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -3*g - 68 - 7, -3*t = 4*g - 75. Solve -t = -9*l - 7 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 174051408 divided by -3\nAnswer: -58017136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7193922387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/9 - 62\/42?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0775 - 0.0017. Let u = c + -0.0289. Round u to three decimal places.\nAnswer: 0.047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -93 + 94. Let j be (5 - 4) + 5\/u. Is (-7461)\/(-33) - j\/66 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f = -27 - 12. Let z be ((-2)\/8)\/(28\/16). Put f, z, 2\/9 in increasing order.\nAnswer: z, 2\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17784939.\nAnswer: 3, 41, 144593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46606725 is divided by 11651680?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 23 = -0*n + n, -2*n = -2*x + 8. Suppose 4*i = 11 + x. Let u = -1640 + 1649. Solve -i*k - u = -2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6428000 = 90*d - 100*d. What is d rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1620 and 7493085?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -129 - 11453168053.\nAnswer: -11453168182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-8) - 1)*(-1 - -1). Which is smaller: -4\/53 or n?\nAnswer: -4\/53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*r**3 + 2*r - 360*r**3 - 3 + 3 + 173*r**3.\nAnswer: -30*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(42\/9))\/((-75)\/10)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**4\/5 - 9*z**3 - 789*z**2\/5 + 909*z\/5 + 330 = 0. Calculate z.\nAnswer: -11, -1, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -4*n - 12. Let v(g) be the second derivative of -1\/2*g**2 + 2*g + 0 + 0*g**3 + 1\/12*g**n. Differentiate v(s) with respect to s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -181 + 309. Let z = 38 - 15. Let q = x - z. What are the prime factors of q?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1442777, 1442456, 1442135?\nAnswer: 1441814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 12680576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*325\/((-275)\/11)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/(5*(sqrt(2) - -2*sqrt(2))) + sqrt(208) + 0 + sqrt(13)*1*-3.\nAnswer: 16*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 10997*h. Let l(z) = -340*z - 382*z - 382*z + 1106*z. Give l(s(g)).\nAnswer: 21994*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, e: 10, t: 1}. What is prob of picking 2 x and 1 t?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 112389075 to the nearest integer?\nAnswer: 10601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 greater than or equal to 35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 46*v = 72*v - 6905132. What are the prime factors of v?\nAnswer: 13, 19, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*q**3 + 3*q**3 - 2*q**2 - q**3)*(4*q - q - 4*q).\nAnswer: 8*q**4 + 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/45 of a hour in seconds?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 9*a - 6*a - 14 = 0, -2*k - 2*a + 12 = 0. Let v be -7 + k - (4 + 50993). Round v to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/1184 and -83\/592.\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57339 or -57340?\nAnswer: -57340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 408 and 20352009.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3894 - -10516. What is the smallest common multiple of n and 16?\nAnswer: 52976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.2 + -2.7. Let r = a - -20.5. Let u = -18.99999978 + r. What is u rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 31 + 269c?\nAnswer: 26cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1108 by 110.\nAnswer: 554\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*r + r + 2*r + 0*r + 5*r - r + (-2 + 7 - 3)*(-3 + 3 + r) - 2 - 5*r - r + 5*r + 4*r + 0*r - 2*r to s + i*r and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -18424 divided by -376\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*v - 530, -4*z + 2*z + 656 = 5*v. Suppose -v = -i - 3*i. What is the remainder when i is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*q**4 - q**4 - 2*q**4 + (-2 + 2 + q**3)*(-3*q - 2*q + 3*q) - 2*q**4 + 50*q**4 + 159*q**4.\nAnswer: 208*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 10:20 PM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 2016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 143103202 divided by -4838\nAnswer: -29579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90 by -18.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -192776201 or -192776199?\nAnswer: -192776201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y + 16 + 2*y + 1 + 6. Let b be o(-11). Does 7 divide (46\/8)\/(3\/b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**5\/3 + 170*y**4\/3 - 2320*y**3\/3 - 1760*y**2 = 0 for y.\nAnswer: -44, -2, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w. Let h(m) = 75*m**2 - 3*m. What is h(j(u))?\nAnswer: 300*u**2 - 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.5, 2, 0.3 in increasing order.\nAnswer: -0.5, 0.3, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123530033.\nAnswer: 11, 23, 488261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*m = -5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-4))\/(1*1\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 3 + 5 = -5*w - 2, 51 = -3*w + 12*k + 3*k for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 101, -0.1, 0, 2\/23?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1249963?\nAnswer: 11, 13, 8741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/670961 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8338 + -8335. Factor 0 + 2\/21*p**2 + 2\/21*p**x + 0*p.\nAnswer: 2*p**2*(p + 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -6*h + 2. Let a = 27 + 2. Let f(u) = 107*u - a*u - 14 - 16 + 3. Let d(l) = 2*f(l) + 27*t(l). Let k(v) = -2*v**2. What is d(k(w))?\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-38)\/(-76) - 29)\/(3\/(-2))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1160961007 to the power of 1\/3, to the nearest integer?\nAnswer: 1051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 13050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*m**2 - m + 10*m**2 + 3*m + 32*m**2 in the form n*m**2 + v + k*m and give n.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10732 + 10749 - ((-1)\/(-1) - 10).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 6:17 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3613575 is divided by 1056?\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 5)*(w + w + 0*w) + 2*w - 8*w + 14*w + 12*w to m + b*w and give b.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5724644 + 9705307. Suppose 7*f + z = 347663. Round f to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 588641 is divided by 147157.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*c - 5917176 = 64*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d - 4. Suppose 42 = 3*l + 5*z, -l + 4*z + z = 6. Let o be r(l). Suppose -8 = -o*x + 7, -3*a = -5*x + 3. Let t(p) = -p**2 + 4*p + 3. Give t(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 20628?\nAnswer: 20628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*h + 9268 - 4644 - 4624 - 10*h**2.\nAnswer: -10*h**2 - 127*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(65) + (sqrt(65) + 1*sqrt(65))*3)\/(1*sqrt(320) + sqrt(5)) - (sqrt(26) - sqrt(260)\/(2*sqrt(10)))\/(-2*sqrt(242)).\nAnswer: -3 + 317*sqrt(13)\/396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -178 plus 97452873808?\nAnswer: 97452873630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/9 + ((-172)\/36)\/(-1). Suppose -7*v = t*v - 24. Suppose -b - 437 = -5*d, 255 = d + v*d - 3*b. What are the prime factors of d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**2 + 17*c + 138. Let y be r(13). Solve -10 + y = -11*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -8*w + 42. Calculate f(9).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**3 + 73*c**2 + c + 37. Let x(k) = 36*k + 75. Let h be x(-3). Is p(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g + 2. Let y(i) = 4*i - 9. Let a = 2 + 1. Suppose -2*m = a*m - 5*t + 105, 0 = -m - 2*t - 12. Calculate m*u(k) - 4*y(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -39 in descending order.\nAnswer: -2, -3, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -2. Let i(c) = -70001*c + 1. Let u be i(-6). Let a be u + -10 + (-3)\/b. What is a rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -1137891\nAnswer: 4\/1137891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*x + 4*x + 3*x)*(-1 + 6 - 3) - x + x - x + 2*x + 2*x - 2*x)*(1 - 1 - 2).\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29\/2 + 14. Let c be (-6)\/(-4)*(-28)\/(-231). Is c < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**3\/6 + 2*f**2 - f. Let y be n(-6). Is 2*(11\/y)\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i + 20, -8783*c + 17562*c - 8781*c + 121 = -5*i for c.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 - 4)\/((-4)\/(-10)). Suppose n + f = 4, -3*n - f + 7 + i = 0. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -9*s + 9 - 3*s**3 + 2*s**3 - 29 + 15 + 9*s**2. Calculate h(8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 9*t - 442. Calculate o(33).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 100509226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-689 + 2*y + 592 + 0*y)*(0 - 2 + 3 + 21*y**2).\nAnswer: 42*y**3 - 2037*y**2 + 2*y - 97","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of c**8\/672 + c**7\/30 + 41*c**6\/240 - 7*c**5\/15 + 173*c**2. Suppose o(q) = 0. What is q?\nAnswer: -8, -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.164 + 22.836. Let b(q) = q**3 + 7*q**2. Let z be b(-7). Is z smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**7)**27)**(-1\/4) assuming j is positive.\nAnswer: j**(-189\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -279.21789 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 705386, 705389, 705392?\nAnswer: 705395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13 - 109?\nAnswer: -c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/(-8))\/(247\/(-988)). Let g(a) = a**2 - 1. Let h be g(-4). Solve 5*t = u - h, 4 + b = 4*u - 3*t for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/53571 and 109\/105?\nAnswer: 267855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 233 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 183 + -127. Suppose -6*u - 2*u = -g. Find the second derivative of -10*t + u*t - 14*t**5 - 8*t wrt t.\nAnswer: -280*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1*204\/9)\/(7\/(-42)). Suppose h = 4*u + 19, 3*h - u - s = -h. What is the greatest common divisor of h and 280?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 9\/11 (c) -0.1 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 3355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(98) + (sqrt(98)*1 - sqrt(98)).\nAnswer: -4 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/16 and 9\/(-63)*3105\/1674.\nAnswer: 3472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 6*j**2 + 6. Let b = -13 - -7. Let d be p(b). Suppose 2*k + 36 = d*k. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**4\/2 + 575*t**3\/2 - 267793*t**2\/2 + 533857*t\/2 - 133320 = 0 for t.\nAnswer: -880, 1, 303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 5*q**2 + 9*q + 3. Suppose 0 = -6*w + 3*w + 15. Calculate the remainder when y(w) is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -58*o + 46*o + 1908. What is the lowest common multiple of o and 11?\nAnswer: 1749","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 9*u**2 + 11*u + 15. Calculate o(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7109 = -303*f + 25172 - 8344 for f.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1309053 at least 1309052?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.851 - 0.651. Let x = 3.1 + -16.1. Is f less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6832948.\nAnswer: 2, 1009, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 170533331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63*l**2 - 13*l**2 - 28*l**2)*(-2*l + 0 + 0).\nAnswer: -44*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.621 and -81.\nAnswer: 779.301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.3 (b) -2\/5 (c) 4 (d) -327\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**2 - 5*s**2 + 6*s**2. Let w(m) = -2*m**2. Give v(w(h)).\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -84 * -4\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16032010 by 84379.\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3 - 1366*f**2 - 165640*f - 640832.\nAnswer: -2*(f + 4)*(f + 152)*(f + 527)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/95)*n**(-2\/17))\/(n**(1\/2))**(-44) assuming n is positive.\nAnswer: n**(35374\/1615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f + 5. Let h be n(4). Let o = h - -4. Suppose 41 = 2*g - g - x, 0 = -o*g - 4*x + 169. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j - 6 = -10*j + 2*c, 24 = 2*j - 5*c. Suppose -786 = -5*n + j*n + 3*m, 4*m - 1064 = -4*n. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/23 or -0.39?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1083*g - 7815 - 1952 = -188*g - 2141 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-4) + (-25)\/4 + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**2 + 4*c**2 - c**2 + (5 - 2 - 2)*(2*c**2 + c - c) + (-3 + 3 + 2)*(0*c**2 - 2*c**2 + 3*c**2) - 59*c**2 + 70*c**2 + 330*c**2.\nAnswer: 347*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - k + 0 = -3, -3*k = -v - 1. Suppose v*h - 1360 = -4*r, -147 = -2*h + 2*r + 1225. Suppose 0 = c + 2*c + 2*o - 408, 5*c + 2*o = h. Does 23 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 198\/8380*(-410)\/(-492) and 73\/44.\nAnswer: 18436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1ac (base 15) in base 16?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15942281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h*l**2 + 73*h*l + 689*h + 23*l**2 - 5 with respect to l.\nAnswer: 2*h*l + 73*h + 46*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.20959 - -0.01241. Round p to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -16) + (-4 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -4. Suppose -5*u + d + 23 = 0, 4*u - 9 - 1 = 5*d. Let m = u - l. Calculate the highest common divisor of 9 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 4*j + 10, k - 3*j + 10 = 2*k. Suppose -3*o - 2 - 19 = 0. Let h = o + k. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 410831*p**2 + 8*p - 3165 wrt p?\nAnswer: 821662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 28*y**2 - 44*y - 208. Let o be u(26). Which is greater: 50\/117 or o?\nAnswer: 50\/117","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29.054 + -29. Let a = b + 4.946. Sort -8, 2, a in descending order.\nAnswer: a, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4186\/12 + -2 - (-12)\/72. Suppose -3*z = -2*j + l, -4*j + 4*z - 6*z + 702 = 0. What is the greatest common divisor of 70 and j?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -5739?\nAnswer: 5734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 2*c + 9347 = 7*c + 9306, -c = -5*w + 5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 11:06 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-36)\/(-16) + -2)*4. Let b be 2 - -2 - y - 3. Solve -c + 1 = -b for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -14. What is the nearest to -1 in 0.03, -1, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**2 + 5468*z = 0?\nAnswer: -2734, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121972411?\nAnswer: 11, 59, 163, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -50497? (a) 0.01 (b) 1\/6 (c) -1\/5 (d) 1\/8 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 f when two letters picked without replacement from {a: 2, p: 1, g: 1, f: 2, r: 10}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -36566 + -1512?\nAnswer: -40300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/7 (b) 5 (c) 4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 189?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in -4, -75404, -12?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -667b0 - 162?\nAnswer: -66952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*t + 77*t + 683440300 = 0. Round t to the nearest one hundred thousand.\nAnswer: -12900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 - 4.2. Suppose -1 = 17*h + 33. What is the nearest to h in a, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -385, -1538, -3463, -6160?\nAnswer: -9629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32.4 + 12.1. Let u = -7.5 - f. Let a = u - -51.99808. Round a to 4 dps.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 6823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 441384859 to the power of 1\/3, to the nearest integer?\nAnswer: 761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1036 - 1022. Solve v*o + 57 = 155 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.3 - -7. Let r = -245.5 + 239.5. Let j = 1 + 0. Sort j, r, s in descending order.\nAnswer: j, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) -19995 (c) 0.29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) - 2*(sqrt(65)*-1 - sqrt(65)))\/(-6*sqrt(80) - sqrt(5)) + 5 - (-2 + sqrt(637) - sqrt(13) - 3*sqrt(13)*-6)*-4)**2.\nAnswer: -2874*sqrt(13)\/5 + 2982958\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 10:46 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -90 - (42 + -120) - -16?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**4\/(l\/l**6))\/((l*l**(-5\/4)*l)\/l**(6\/7)))**(-28\/5) assuming l is positive.\nAnswer: l**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + (49 - 19) + 0 - (2 + 0 + 39)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -6*j**2 - 2*j + 2. Let b be c(-2). Suppose -5*l + 26 = i, -l + i - 4*i = 6. Let v be (-9)\/l*(-8)\/b. Is v bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1056442 + -590581.1056442. Let q = -590581.04800144 - p. Let s = q + 0.048. What is s rounded to 7 decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49178 is divided by 2341.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of 1 + 3*a + 1\/2*a**2. What is the first derivative of g(p) wrt p?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*k**4 - 15*k**3 + 532*k**2 - 269*k**2 - 264*k**2 to the form s*k + w*k**3 + o*k**4 + u*k**2 + p and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1235.\nAnswer: 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 834, 1692, 2548, 3402, 4254, 5104, 5952?\nAnswer: 6798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3409 is divided by 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 4*t**2 - 2*t + 4. Suppose 3*k - 4 = 7*k. Let z be -4 + -4*k\/2. Let l(y) = -2*y + y + 5*y**2 - y**3 + 4*y - 5. Determine z*l(m) - 3*d(m).\nAnswer: -m**3 + 2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/186*(-4)\/(-14)*224\/(-512)?\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s - 51 + 51 + (-30*s + 11*s + 9*s)*(8 - 3 + 1).\nAnswer: -56*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 276 and 87124?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhw when three letters picked without replacement from wwwwchwch.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -30 + 1 + 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2369163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x + 7*x + 6 - 11*x - 2*x**2 + x**2. Give b(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 12) in base 9?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 68 + 152. Let i = -16 - o. Suppose 3*x - i = -7. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6725*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -136*h**3 + 83*h**2 wrt h.\nAnswer: -816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*j**3*r*u - 3*j**3 - 18*j**2*p**2*u + 2*j**2*p*r + p**2*r - p**2 + 2*r*u wrt u?\nAnswer: 3*j**3*r - 18*j**2*p**2 + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-7) - 12\/42. Suppose l = -q - 4*q - 15. Let k = q - -4. What is the nearest to k in 4, 2\/3, -0.4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3524 (base 16) to base 8.\nAnswer: 32444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 15*h + 24. Let x be t(12). What is the remainder when (-582)\/x + (-5)\/10 is divided by 28?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 3*j**2 + 1 + 1 - 13 in the form c*j**2 + w + z*j and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 49291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1745*t + 3428*t - 1807*t.\nAnswer: -124*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 333 - 210. Calculate the remainder when n is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 9716?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000401760096 to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6322862 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 37*k**3 + 143*k**2 + 49. Give q(-4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**3 - 165*d**2 - 95*d + 444. What is a(83)?\nAnswer: -552","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 + -23. Suppose -5*d - 20 = -g*d. Let r = d + -4. Solve 2*u + r*u = 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -670 - -669.7. Which is the nearest to -0.1? (a) 2\/51 (b) o (c) -2\/271\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27642.56 millilitres to litres.\nAnswer: 27.64256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1263444 by 33.\nAnswer: -421148\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7950 rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11273 - 6107?\nAnswer: -17402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7992 and 1480?\nAnswer: 39960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 6612*f**3 - 9*f**2 + 54. Let k(m) = -1653*m**3 + 2*m**2 - 12. What is -2*a(w) - 9*k(w)?\nAnswer: 1653*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*y + 246 = -121*y. What is the nearest to 0.5 in y, -5, 1\/3, 3.64?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 108446009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 41 - (18 - (-7 - (-27 - -36)))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, u: 1, j: 3, f: 2, q: 3}. What is prob of picking 2 f and 1 q?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of 1\/60*o**6 - 2\/3*o**3 + 0 - 4*o**2 - 1\/15*o**5 + 0*o + 1\/12*o**4. What are the prime factors of j(3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 9*j**2 - 10. Let l be y(9). Let m = 13 + l. Suppose -i - 13 = -m*x, -3*i + 2 = 5. Solve x*h + 0*h = -8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -573*n - 5695. Let m be g(-10). Suppose -7 = -t + 5. Let j = 9 + t. What is the greatest common factor of m and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*m**3 + 7*m**3 + 0*m**2 + 0*m**2.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((-25)\/15 - -2). Let i(b) = 5*b**2 - 5*b - 4. Let f(l) = 4*l**2 - 4*l - 3. What is n*f(u) - 2*i(u)?\nAnswer: 2*u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8560 and 25.\nAnswer: 42800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0321359548 to 5 dps.\nAnswer: -0.03214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 4, -9, 101, -3\/7, 1 in decreasing order.\nAnswer: 101, 4, 1, 0.1, -3\/7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1249 + -1243.93. Let d = n + -0.07. Let l be 0 - 0 - 4\/(-6). Sort l, -1, d in decreasing order.\nAnswer: d, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2505.33 - -2535. Let w = t + -30. Round w to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 6756959.9 to the nearest 100000.\nAnswer: 6800000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -845 - -1222. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/17))**(-16\/9)\/((i\/(i\/(i*(i\/(((i*i\/i**(-6\/11))\/i*i*i)\/i))\/i*i)*i*i*i))\/i**32) assuming i is positive.\nAnswer: i**(19765\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-4 - -13) + -8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -188, -185, -182, -179, -176?\nAnswer: -173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1314144716?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 460 is divided by 415?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 - 34. Let y = -21 + 20.93. Let t = 0.07 + y. Which is the closest to 3\/5? (a) -3 (b) x (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 2\/9 (c) -35 (d) -156\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*r - 35 + 25 - 10*r - 33*r + 6*r as q + d*r and give d.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 67 and 32332592?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**3\/3 - 142312*l**2\/3 - 4833844*l\/3 + 1658720 = 0 for l.\nAnswer: -35544, -35, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 2a87a9?\nAnswer: 2a8802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2*b + 16 = 5*t, b = -t + 5. Suppose 5*y + 5*v = t*v + 25, 9 = 2*y + v. Suppose -y*q = -3 - 3. Solve q = o - 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 0.2 (c) -22844\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3\/3919 - 262237\/438928. What is the common denominator of b and -37\/128?\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0.16531\nAnswer: 2.16531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 18859095773978 and -0.06.\nAnswer: 18859095773977.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/2)\/(1*(-45)\/(-12))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = -0*a + 28. Let v(t) = 2*t**2 + 9*t + 7. Let d be v(-6). Solve 5*p - 5 = a*m + 20, 5*p + 4*m = d for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 5\/966, -5, -11\/6, 3?\nAnswer: 5\/966","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - y**2 + y. Let g(u) = u**3 + 2*u**2 - u. Calculate -2*c(j) + g(j).\nAnswer: -j**3 + 4*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 f when four letters picked without replacement from ffbffbf.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22944841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fk when two letters picked without replacement from {k: 2, f: 8, c: 4, u: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000727407 rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -454 + 461. Solve -d + 5 = -5*c + 21, -4*c = 5*d - m for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*h + 4 = 0. Suppose -5*c - 5*b = -450, -c - 450 = -6*c - 4*b. Suppose -t = -7*t + c. Sort h, t, -4.\nAnswer: -4, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 530672 + 125?\nAnswer: 530797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-135)\/360 - (-74699)\/8 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -218185\/14 - -15591. Let d = -1347141 - -8062879\/6. Let s = 3305 + d. Calculate the common denominator of s and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8380000 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3*p + 3)*(-5*p**2 + 3*p**2 + 3*p**2 + (-7*p - 4*p + 4*p)*(p - p + 2*p)) + (2*p**2 + 2*p**2 - 2*p**2)*(-1 + 1 - p) + 8 - 8 + 5*p**3.\nAnswer: -36*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 273029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -45 - 27. Suppose 5 = u - k. Calculate the remainder when (-2)\/(-6) + (-1270)\/(-15) is divided by u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 4 + 0 + -2 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*s**3*t*z**2 - 11557*s**3*t + 3*s**3*z**2 - 12*s**2*t*z**2 + s*t*z**2 - 235*s*z**2 wrt s?\nAnswer: -12*t*z**2 - 69342*t + 18*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -183, -767, -1737, -3087, -4811, -6903, -9357?\nAnswer: -12167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 14137*j - 310505. Give i(-22).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (2 + -8) - (-7 + 14 - 3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u - u**3 + 0*u)*(5*u - 6*u - 11*u) + 2*u**4 - u**4 + 2*u + 0*u - u**2 as t + c*u + b*u**4 + k*u**3 + l*u**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 404450 + -166?\nAnswer: 404251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 33 and -3?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 7 = -0*p - 2, -83 = -4*h - 3*p - 70 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 389 + -142. Let y = r + -247.1. Which is smaller: y or 36?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32987, -33024, -33073, -33128, -33183, -33232, -33269?\nAnswer: -33288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4367.215849 rounded to the nearest 10?\nAnswer: 4370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1365089.\nAnswer: 11, 193, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13922097.\nAnswer: 3, 7, 662957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 6*l + 1. Let b be i(5). Let t(m) = -2*m. Let h(u) = 3*u + 4. Let c(z) = h(z) + 4*t(z). Let v(x) = -x + 1. What is b*v(j) - c(j)?\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111000111001 (base 2) to base 13.\nAnswer: 5503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 50701895 - 3447?\nAnswer: 50698448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(11)*3 - (sqrt(33)\/(-1*sqrt(3)))**2.\nAnswer: -16 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 2 + 1)*(4*i**4 - i**4 - 2*i**4) - 6*i**4 - 2*i**4 + 3*i**4.\nAnswer: 2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -8*m**3 + 48*m**2 - 3*m - 11. Let q(x) = 3*x**3 - 16*x**2 + x + 4. What is -11*q(o) - 4*r(o)?\nAnswer: -o**3 - 16*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 - 22. Let h = 5.8 - q. What is the closest to -2\/9 in h, 7, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 8 = -2*b. Suppose 3*h = -3*l + 81, 4*l + 5*h - 39 = 3*l. Let o = -16 + l. Calculate the highest common factor of o and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 588 divided by 49\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(15\/20))\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 - 19. Let s = -45 - -94. Let n be (-7)\/(-2)*84\/s. Solve w*r = -0*p - 4*p - n, 5*r - 26 = 4*p for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**2*p**(3\/2)*p**(-1)*p**3 assuming p is positive.\nAnswer: p**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38*27\/12*-1*14\/21?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*2*(-2)\/6. Let q be 68\/11 - y\/(-11). What is the units digit of 128\/(-24)*q\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4257 and 12246443?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -5*o + 3. Let b = 13 - -1. Let n(z) = -z + 2. Let q be n(5). Let m(f) = -26*f - 1247 + 1261 + 2*f. Calculate b*h(v) + q*m(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.4535 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -77380, -154762, -232144, -309526, -386908?\n\"Answer: -77382*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u + 12262 - 2*u - 6067 - 6220.\nAnswer: u - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 0*l + l - 2*l. Let t be f(-5). Let d(p) = -p + 5. Let j be d(t). Are 1 and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1085 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and -1050.\nAnswer: -1048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4774 + 5029. Calculate the highest common divisor of i and 645.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -13*u - 6. Does 26 divide x(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/12 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 8, g: 3}. What is prob of picking 3 g and 1 c?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 31907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**3 - o**2 + 2*o**2 - 327 - 2*o**2 + o + 329. Let q(i) = -i - 2. Let t be q(0). Let x be y(t). Calculate the greatest common factor of x and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001110111 - 1001101010?\nAnswer: -101011100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3878, 7750, 11618, 15482, 19342, 23198, 27050?\n\"Answer: -2*k**2 + 3878*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - -5426) + (-9 - -7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0621 and -1.\nAnswer: 0.0621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by ((-8)\/(-4) + 2)*4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -6*d + 12. Calculate the remainder when g(-10) is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyzz when four letters picked without replacement from {z: 3, g: 2, u: 3, p: 1, y: 6}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-222)\/112 - 16\/(-16)*2. What is the smallest value in 1.4, r, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.588 + 4.588. Which is the closest to 1\/14? (a) -1\/7 (b) 0 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/9, -2\/11, 1858, 0.94, -51, 2\/9?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/(-14))\/(1\/1). Let m = 40 - s. What is the third derivative of n - n - 233*n**5 - m*n**2 + 241*n**5 wrt n?\nAnswer: 480*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (99\/(-45) - 2\/(-10))\/(10\/15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 138*h - 138*h + 447*h**2. Let k(t) = 2*t**2. Determine u(k(f)).\nAnswer: 1788*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33112013 (base 8) to base 16.\nAnswer: -6c940b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -35. Let r(l) = -d*l + 6*l + 15*l - 35. Let m be r(13). Solve m + 8 = 4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68373*y + 125593*y - 68977*y to the form x + p*y and give p.\nAnswer: -11757","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 104 + -18?\nAnswer: ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5454307?\nAnswer: 5454307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-12)*6*1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 388064 - 388064 + 28*l - 103*l**3 - 2*l**2 as t + d*l**2 + v*l**3 + s*l and give s.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -489 - -4?\nAnswer: -485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -5*v. Let j(l) = 17*l + 6. Let d(q) = -53*q - 16. Let k(z) = -3*d(z) - 8*j(z). Determine k(f(i)).\nAnswer: -115*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -142 - -463. Let l = -293 + n. Solve -4*k + 3*a - l = 0, 16 = -2*a + 6*a for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -953*i**2 + 1912*i**2 - 951*i**2.\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and 9?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62853 and 585511611.\nAnswer: 8979","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 9:33 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/54 and -19\/2940.\nAnswer: 26460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/1607 and -37\/158?\nAnswer: 253906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/6 - 35311*d**2\/6 - 47077*d\/2 - 35307\/2.\nAnswer: -(d + 1)*(d + 3)*(d + 35307)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 0.1, -4\/3, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -66, -52, -30, 0, 38, 84?\n\"Answer: 4*x**2 + 2*x - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*n = -163*n - 1 - 23 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 2*n. Let v(c) = n*c + 0*c**2 + c**2 + 3 + 3*c. Let x be v(-3). Let f(i) = -4*i + 1. Let r(j) = 7*j - 1. Determine x*r(d) + 5*f(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4 - 392*l**3 + 13568*l**2.\nAnswer: -l**2*(l - 32)*(l + 424)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -176445, -352885, -529325?\n\"Answer: -176440*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17809 to the power of 1\/2, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -6 - 5\/8*p**2 - 1\/2*p - 1\/12*p**3 + 1\/8*p**4. Solve c(b) = 0.\nAnswer: -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 19584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4831191 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54059, 54049, 54039, 54029?\nAnswer: 54019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -159*l*p**3 - 39*l*p**2 - 2*l*p wrt p.\nAnswer: -954*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10946 * 5.\nAnswer: 54730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00405753 rounded to five dps?\nAnswer: 0.00406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -71 - -71. Suppose h = 3*l - 2683 - 956. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10171.603 rounded to the nearest 100?\nAnswer: 10200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 2*i**2 - 3*i - 3. Let u be v(-2). Suppose -8*w + u*w = -25. Let r(f) = f**3 - f**2 - 5. Let o be r(2). Sort -2, o, w in increasing order.\nAnswer: -2, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 10*c - 16. Suppose -2*m = c*g - 286, 3*g + 55 = 4*g - 5*m. Does 14 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-4) + 9\/4. Suppose 37 - 139 = -w*v. List the prime factors of v.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/7 (b) -12 (c) -2\/9 (d) 2\/7 (e) 0.4599\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 259099 divided by -11?\nAnswer: -259099\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.1, -13476\/7, -0.4 in decreasing order.\nAnswer: 0.2, -0.1, -0.4, -13476\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 694*c**3 - 664*c**3 + 6*c**4 - 5*c**4 - c**2 + (-1 + 2*c**2 + 1)*(2*c + 2*c**2 - 2*c).\nAnswer: 5*c**4 + 30*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2000*d - 24170 - 856 = -1156 + 78130 for d.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, -0.04, -2\/5, -0.02 in descending order.\nAnswer: 0.6, -0.02, -0.04, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y - 3. Let v be i(-5). Suppose -5*b - 15 = v*s, 0 = s - 0*s. What is the closest to -1\/2 in b, 0.5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 21, -430, -899, -1392, -1915, -2474, -3075?\n\"Answer: -g**3 - 3*g**2 - 435*g + 460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -229, -494, -783, -1102, -1457, -1854?\nAnswer: -2299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 15\/4 of a day?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 230*b**2 + 13564*b - 395. What is i(-59)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**3 - 14*m**2 + 34*m - 24. Calculate y(6).\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5*(-2 + ((sqrt(20)*1)\/sqrt(5))\/((-1*sqrt(18))\/sqrt(9) - sqrt(2))))**2.\nAnswer: 300*sqrt(2) + 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of n - 1\/10*n**5 + 1\/3*n**3 + 0*n**2 + 1\/15*n**6 - 1 - 1\/6*n**4. Let d(m) be the first derivative of k(m). Factor d(l).\nAnswer: 2*l*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -8*v**2 + 0*v**6 + 0*v + 1\/3*v**3 + 1\/24*v**4 + 0*v**5 - 3 - 1\/30*v**7. Find the second derivative of x(y) wrt y.\nAnswer: -84*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25377 + -25376. Suppose -2*s - s - 3 = 0. Let k be (s\/5)\/(-4 - -5). Which is the biggest value? (a) -4 (b) y (c) k (d) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1878 and -1878 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 5*c**2 - 2*c + 14. Let l be (-8 - 9 - -2)*1\/3. Let y be z(l). Solve 4*n - 4 = -y for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03181755 and -4.\nAnswer: 0.1272702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 * -22\nAnswer: 0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 156 + 3266662?\nAnswer: 3300151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 142 - 123.3. Let t = 18.6 - f. Which is the fourth biggest value? (a) t (b) 1 (c) -4 (d) 0.35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/67))**(-10)\/(h**(11\/4))**6 assuming h is positive.\nAnswer: h**(-2251\/134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10280279*z**2 - 10972477.\nAnswer: -20560558*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*o = 4*h + 18*o + 20, o - 23 = -6*h + 10*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9802361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10011000011011110 (base 2) to base 11\nAnswer: 53701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68 + -17.8. Let o = -109.4 + m. Let c = o - -59.501. Round c to 2 decimal places.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3258)\/8)\/(558\/192 + -3). Round j to the nearest 100.\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/7 - (-102)\/(-14). Let l be 132\/(-21) + (-2)\/n. Let k = 11 + l. Which is the closest to 1? (a) -1\/2 (b) 4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188050862.\nAnswer: 2, 2287, 41113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 113040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -275*n**4\/8 + 60*n**3 + 27*n**2 - 16*n - 6 = 0.\nAnswer: -2\/5, 6\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*c + 147*c - 39*c - 46*c.\nAnswer: 24*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 22914 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, l: 4}. What is prob of picking 3 u?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8799.844 kilometers to nanometers.\nAnswer: 8799844000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-1) + 4)\/((-3)\/(-2)). Let j(k) = 3 - 5*k**2 + k**3 + 4*k - 6 + 0. Let g be j(a). Which is smaller: -1\/8 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 300a + 202?\nAnswer: 3210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*o - 12, 3*u - 23 = -4*o - 0*u. Let j(i) = 7*i - i - o*i - 2*i. Let m(q) = 4*q**2 - 9*q**2 + 12*q**2. Calculate j(m(x)).\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*y**2 - 3 + 3.\nAnswer: -28*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aecg when four letters picked without replacement from eaecgge?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 + 36*b + 167. Let c be z(-9). Solve 17 - 2 = c*q, 20 = -f + 5*q for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -m - m, 0 = -4*b + 3*m + 41532. Let l be (32\/b)\/(4\/786). Let s = 1\/173 - l. Which is bigger: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36517 + 52727. What is the least common multiple of r and 2?\nAnswer: 16210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o**3 + 71*o**2 + 320*o - 326. Give w(-10).\nAnswer: 574","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3361 and 3361?\nAnswer: 3361","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -131432*p**2 - 8320*p wrt p.\nAnswer: -262864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-172)\/(-20) + 6\/15. Let p be 3\/9*-30 - -7. Put c, p, -4 in increasing order.\nAnswer: -4, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v + 51. Give r(-19).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10203312010 (base 4) in base 8?\nAnswer: 4436604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -38560 divided by -36?\nAnswer: 9640\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of 0*p**5 - p + 7\/24*p**6 + 1\/2*p**3 + 0 + 7*p**2 + 0*p**4. Differentiate s(q) with respect to q.\nAnswer: 105*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, c: 2, d: 1, o: 2, z: 2, g: 3}. Give prob of sequence oo.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxhxuxu. Give prob of sequence uuh.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h**3*y + 686*h**3 - 7*h + 4242*y with respect to y.\nAnswer: 2*h**3 + 4242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j + 1088. Let i(s) = -159*s**2 + 3*s - 19. Calculate k(i(f)).\nAnswer: -318*f**2 + 6*f + 1050","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -90261 + 90346. Suppose 35 - 1 = a. What is the smallest common multiple of a and h?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 56*b**2 + 247*b**2 + 392*b**2 as v*b**2 + x*b + i and give v.\nAnswer: 695","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o - 1 + 6 - 2*o. Let j be k(4). Let y = j + -7. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/10 + (-38)\/(-95). Let t be 2\/6 + 64\/6. Solve -v = 5*d - t for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.1 - 2.3. Let z = 2144\/9 + -238. Suppose 2*i = 6 + 4. Which is the closest to t? (a) i (b) z (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, m: 5}. Give prob of sequence mmp.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -6. Let c = 33648.935 - 33653.9349894. Let i = c + r. Round i to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 - 5*x**2 + 2*x**2 - 2*x**2 + 0*x**2 + 4*x**2 + (4*x + 0*x - 2*x)*(-x + 2*x - 2*x) + 0 + 0 - x**2 - 3*x - 2*x**2 + 3*x)*(x**2 - 3*x**2 + x**2).\nAnswer: 6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b**2 - 7*b + 6 + b**3 - 3*b**2 - 1 + 6*b**2. Let s be r(-8). Let i be (4 - 4)\/(-4 - s). Solve 5*l - 5 = -i*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.6 * -15.192354\nAnswer: 24.3077664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 94274100*m**6 + 2*m**2 - 2504030*m + 8 wrt m?\nAnswer: 11312892000*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5114.\nAnswer: 2, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -y + b, b + 1113 = 6*b + 1143 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 6, -2\/5, 0.4 in increasing order.\nAnswer: -3, -2\/5, 0, 0.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -76 - -108. Solve 0 = -2*c - 3*h + 17, -3*h = 4*c + 7 - q for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p + 9*p + 4*p**2 + 4 - 2*p = 0. What is p?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85, -328, -733, -1300, -2029?\nAnswer: -2920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 - (30 + 23 + -11).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(11) - sqrt(275))*-3*-5.\nAnswer: 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + 169\/7*4. Let g = -100 + t. Let y = -0.3 + 0.8. Which is the closest to -2\/5? (a) y (b) g (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 21*q - 9. Let c be s(-7). Suppose 4*t + 68 = 8*t - 4*k, 5*t - k = c. Solve -d - t = 5*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2891*s = 2899*s + 8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2101275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308167758.\nAnswer: 2, 3, 53, 323027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -6. Let b(c) = 3*c**n + c**2 - 5*c**2. Let o(z) = -27*z - 31*z - 26*z + 90*z. Determine b(o(x)).\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-6\/11))**10*(n**(1\/10)\/n*n)**20)**(-9\/4) assuming n is positive.\nAnswer: n**(171\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 83 = -d - 4*b, 457*b - 455*b = -4*d - 114 for d.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - -744.28\nAnswer: 743.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 145103\/(-126) + (-2 - 1). Let o be (-41268)\/36 + (-4)\/6. Let v = f - o. Find the common denominator of v and -1\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((1 + sqrt(300))**2 - sqrt(300)) + 0 - ((sqrt(300) + 1 - sqrt(300))*1 - (-5*(sqrt(300)*-2)**2 + sqrt(300) + sqrt(300))).\nAnswer: -5700 + 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35741038, -35741042, -35741056, -35741086, -35741138?\nAnswer: -35741218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 1 - 3 - g + 3. Let p be i(-1). Solve x - p*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of v**5\/150 + v**4\/60 - 2*v**3\/15 + 8*v**2. Solve i(n) = 0 for n.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 127182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2380 and 1208496.\nAnswer: 42297360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -30. Suppose 518 = 127*n - 625. Calculate the least common multiple of o + (-2 + 4)*1 and n.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1.4255, -1\/6, -1\/3 in decreasing order.\nAnswer: 3, 1.4255, -1\/6, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 802 at most as big as 427?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + -16 - (1 + -1 + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5*((-6)\/15 - -1). Suppose z*n = 12 + 9. Suppose 5*q - 33 = -5*a + n, -5*q = a - 16. Solve 5*k + a = -14 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -120760.16 and 0.5?\nAnswer: -60380.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 4)*(-5 - 7*i + 5) + (2*i - 5*i + 2*i)*(-5 - 11 - 5).\nAnswer: 42*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 288 - 156. Calculate the lowest common multiple of i and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -104*g - 1248. Let v be d(-12). Let r(q) be the first derivative of -4\/55*q**5 - 1\/22*q**4 + v*q + 1 + 0*q**3 + 0*q**2 - 1\/33*q**6. Factor r(y).\nAnswer: -2*y**3*(y + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -14. Let j(u) = -15*u. Let k be j(i). Suppose 5*t + k = 8*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7433 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ucaz when four letters picked without replacement from caezzuzauuaaz?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = l - 2*a + 12, l + 3*a = 8. Let u be -2 - l\/(-4) - -22. Solve -3*o - u = 2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -93*h**2 + 1 - 81*h**2 - 1 in the form l*h**2 + a + z*h and give l.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/(-6))\/((-14)\/(-525)). Suppose t + 7 = 0, -4*p + 893 - 65 = -4*t. Calculate the highest common factor of l and p.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000286404 rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -904973*j**4 - 3370109*j wrt j.\nAnswer: -10859676*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(68) + 3 + -1 + sqrt(68) + -3)**2 - ((-2 + 0 + sqrt(68))*-5)**2.\nAnswer: -1731 + 204*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 n, and 1 x when three letters picked without replacement from {n: 4, v: 5, x: 6, t: 1}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5993 is divided by 111\/(8\/36 + 35\/45)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s + 12*s - 868 = 0. What is the remainder when 203 is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 7. Let t = -1.2 + 0.7. What is the third biggest value in t, m, 0, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -0*t - 6. Does 11 divide t\/4*22*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 149 - 218. Let o = 140 - b. What is the highest common factor of o and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -87*a. Let m(f) = 22*f + 2. Let v(r) = 8*r + 1. Let t(g) = m(g) - 2*v(g). Determine t(d(y)).\nAnswer: -522*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 83 = -3*k, 5*k - 7*q = -2*q + 135. Let x = k - 18. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (-7 - 4) - -2. What is the derivative of 12 + f + b**2 - 13 wrt b?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v**2 + 6*v - 1. Let i(g) = g**2 - g + 1. Calculate -2*i(o) - j(o).\nAnswer: o**2 - 4*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 234020000 to the nearest one million.\nAnswer: 234000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8 + -3)*(16\/10)\/2. Suppose -5*f = 5*s - 1240, -2*s + 1239 = 3*s + d*f. Is 248 > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.12, 1, -0.3?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/c**(2\/17))\/c**(-2\/5) assuming c is positive.\nAnswer: c**(194\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12947\/9 + 1439. Let u = 0.96 - -0.04. Let n = u - 0.6. Sort 0.1, n, t.\nAnswer: 0.1, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2595488 and 5040.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 8:53 AM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -0.3, 1\/3, -5\/6, -5 in decreasing order.\nAnswer: 9, 1\/3, -0.3, -5\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 636*p + 191 - p**3 - 93 + 3*p**3 - 97 as q + v*p**3 + g*p + n*p**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1010*b + 2*i = -1009*b - 1, -3*b = -4*i + 3. Sort b, -1\/53, -3, -0.1 in descending order.\nAnswer: -1\/53, -0.1, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -165*(1 + (-4)\/3). Suppose -p - 22 = -b + 2*p, 3*p = -b - 8. Suppose b*w - 2*w - k = 0. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -798*q - 432. Does 16 divide r(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1307084552?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 19 = -3*d + 8*t, -d + 2*t = -7 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1404 = -256*h + 47*h - 359 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/1168 and (-3 + 792\/32)\/(-49 + -15)?\nAnswer: 18688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.395 + 152.06. Let f = -168 + h. Round f to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -129 divided by -8\nAnswer: 129\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6142*m**4 - 3*m**3 - 2*m + 8335.\nAnswer: -24568*m**3 - 9*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/3463 or 0?\nAnswer: 8\/3463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -n**4\/12 + 2*n**3\/3 - n**2 + n - 2. Let x(f) be the first derivative of o(f). Let v = 3 - -1. Calculate x(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(27) + sqrt(135)\/sqrt(20))\/sqrt(9) + -5)**2 + (1 + sqrt(243) + -5 - 4*-1*sqrt(243)) + 4.\nAnswer: 24*sqrt(3) + 223\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does -132659 = -132659?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/75)\/j*j\/(j**(-16)\/j)*(j\/j**(-5\/6))**(-7) assuming j is positive.\nAnswer: j**(629\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5*z + 32 = -0*n, 3*n - 69 = 3*z. Let r be (-7)\/2*(-60)\/n. Solve 5*o + 0 = -u - r, -3*u + 10 = -5*o for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2895, 10338, 22741, 40104, 62427?\nAnswer: 89710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/((-33)\/176*-4). Put a, -2, 1, -39 in decreasing order.\nAnswer: 1, -2, a, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven fifteenths of a decade in months?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 41 = -j. Let f = -24 - j. Suppose -1 + 0 = -n, -3*g + f*n + 415 = 0. Calculate the greatest common divisor of g and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 2*w**2 - 3. Calculate d(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -149*k + 510. Is 35 a factor of v(-47)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51 + -39. Solve 0 = -p*q + 10*q - 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 530776.\nAnswer: 2, 66347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2454407 and 0.172?\nAnswer: -422158.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of 7*d**4\/4 + d**3 + d**2\/2 + 3*d - 77. Let j(x) = -6*x**3 - 2*x**2 - x - 2. Give 2*h(o) + 3*j(o).\nAnswer: -4*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -222420730 - -3?\nAnswer: -222420725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -41 - -2aea7b?\nAnswer: 2aea3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -51*(-18)\/459*1\/(-56)*-2.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18885*f + 11765*f + 232304 = 27920*f - 188176 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 76.69672 weeks?\nAnswer: 46386176256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3618504*p + 3. Let c(f) = f**2. Give n(c(o)).\nAnswer: -3618504*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and 159725.38.\nAnswer: -958352.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/4))**(1\/4)*(y**(-2))**(6\/5) assuming y is positive.\nAnswer: y**(-187\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = 4*b. Suppose -4*r + 4*h + 5 - 1 = b, 0 = -r - h + 7. Suppose 4*i = 7*i + r*o - 26, 3*o + 23 = 2*i. What is the highest common divisor of 2 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 3*g + 10. Let u be f(4). Let l(b) = -4*b + 26. What are the prime factors of l(u)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204433533 to the power of 1\/2, to the nearest integer?\nAnswer: 14298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 41 = 4*y, -2*y - 6 = -y + 2*v. Suppose 4 = 2*g - 5*a, 2*a + a + y = 2*g. Suppose 2*b - 4 = 6. Put g, -3, b in descending order.\nAnswer: b, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2006)\/187*-22*28\/(-112)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -25697 * -13\nAnswer: 334061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -t - 6*x + 9, 5*x + 37 = 3*t. Factor -26*i**2 + 12*i - 3*i**t + 12*i**3 + i**4 + 4*i**3 + 0*i**3.\nAnswer: -2*i*(i - 6)*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 10*m - 9. Let q be t(-9). Let j = 4 - q. Is j a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**28*w)\/w**(19\/2))\/(w\/(w**13*w)*w\/(w*(w\/(w*w\/(w\/(w\/w**13))))\/w)))**(-3) assuming w is positive.\nAnswer: w**(-261\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*o - 736 = 61*o + 1484 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 361?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13304 (base 5) to base 4.\nAnswer: 100313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -69283 smaller than -69285?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15301601\/194 + 78874. What is the common denominator of v and 73\/2?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k**2 + 6*k. Give f(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {p: 2, k: 4, g: 3}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1300\/3475)\/(28\/1498) - 20?\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 102937 + 342?\nAnswer: 103179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 4, -39, 5, 0.346, -0.2, -0.3?\nAnswer: 0.346","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 1 = -0*y. Let d be y\/(((-1)\/4)\/(-1)). Suppose 221 - 191 = 2*g. Solve 3*a + s = d*s - g, -3*a + s - 11 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, 26, -0.1, 5\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1\/5)*w*w)\/w**(-7)*(w**(1\/4)\/w*w)**40 assuming w is positive.\nAnswer: w**(99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 - (-13 + 15 + 18)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 108\/8*(-10)\/(-15). Suppose 0 = 2*b + b - 3*n - 9, m = 3*b - 4*n. Suppose -165 = -b*c + 282. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 3*a**3 + 1. Let n be (-11)\/(-22) + (141\/6 - 0). Let f(m) = 7*m - 7*m + n*m**2 - 16*m**2. Calculate u(f(k)).\nAnswer: 576*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2909844 by 378.\nAnswer: 7698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 75663*r**5 - 91442*r**2 wrt r.\nAnswer: 4539780*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - -12. Suppose -26*q + 24 = -25*q - k, -120 = -5*q - 5*k. What is the greatest common factor of q and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1692.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4.1 (b) 1\/11 (c) 1\/3 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*i**2 + 2 - 14*i**4 + 14*i**4 - i**3 - 2 - 2*i**4 in the form s*i**2 + u*i + p + a*i**4 + t*i**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5555499 to the power of 1\/3, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.259279354 take away -2802?\nAnswer: 2803.259279354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -9437832.5 to the nearest 10000.\nAnswer: -9440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 7*s - 4. Let z be o(6). Let g(m) = 6*m**2 - 1 + 5*m + 3*m**3 - 2*m**3 - z. Let y(b) = 159*b - 1594. Let w be y(10). Calculate g(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-8)*(8 - -4). Suppose d = i + 9. Solve -3*u - 3 = -d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s - 1. Let t(j) = j**2 - 10*j + 3. Let y(k) = -4*c(k) + t(k). What is y(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 1\/3 (b) 3\/8 (c) 2\/5 (d) -146555 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/((sqrt(72) - sqrt(72)*-3)\/sqrt(9)) - ((sqrt(5) + 1 - sqrt(5))*4)**2*-6.\nAnswer: sqrt(5)\/4 + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 437 + -717. Let o = -194 - s. List the prime factors of o.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -262 - -0.022\nAnswer: -261.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 4a5?\nAnswer: -4a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 + 0)*(-2)\/(-20). Let f = -5.2 - -4.2. Let d = f - 4. Which is the second biggest value? (a) 1 (b) z (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*z + 23 = 0, -1 = 3*d + z - 5. Suppose -6 = -3*t - d*t. Let x = 7 + -10. Which is the smallest value? (a) x (b) -2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.201 - -0.099. What is the third biggest value in -5, 2\/3, k, 0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110753628 times 1\nAnswer: -110753628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 107 + 4?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 1 = -j - 0, -4*s - 3*j = 1. Suppose 8 = 2*w, s*v + 4*w - 36 = -2*v. Solve -r = 4*g - 2*r + 19, v*g = -4*r - 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*u - 72 = -4*z, -z - 5*u = -44. Solve 4*g + 10 = -2*r, -r = -2*r + 4*g + z for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 11, -366\/7, 8, -0.1, 0.4?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a micrometer in nanometers?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3720 - (4 + -1 + -4))\/1?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 74.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = u - 4*r, -3*r = -2*u + 4 + 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 4*w. Let j = 1.2 - 4.2. Sort -1\/3, j, w in decreasing order.\nAnswer: w, -1\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/(-295))\/(95*22\/836).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1549 smaller than -1112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11016317 is divided by 112.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -236 - 0?\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155 = 2808662*w - 2808658*w + 15*y, -3*y + 52 = 5*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*y - 399 + 2539, 2708 = -5*v - 2*y. Is v > -540?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + sqrt(152)*-1*6 - (sqrt(152) + sqrt(152) + 2*sqrt(152)*1))\/(4*sqrt(80)\/sqrt(10)*4).\nAnswer: -9*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q\/((q\/(q*(((q**3*q)\/q)\/q*q)\/q)*q)\/q))\/q)**(-30))**14 assuming q is positive.\nAnswer: q**(-1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9902881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*u - 11076 = -45*u. List the prime factors of u.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4221\/10565 + -1\/2113. What is the closest to a in 307, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-70)\/9*(0 - 3) and 31\/33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2867*z. Let a(k) = -k**2 - 3*k - 1016. Determine a(b(x)).\nAnswer: -8219689*x**2 + 8601*x - 1016","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156 is divided by 33.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 2 (b) 4 (c) 0.14 (d) 2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-7) + (-252)\/(-49). Suppose 0 = 3*o + 2*o + 15. Sort g, o, 0 in ascending order.\nAnswer: o, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*f = 18245 + 157999. List the prime factors of f.\nAnswer: 3, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.641 - -13.341. Sort r, -2, -0.36, 1.54 in increasing order.\nAnswer: -2, -0.36, r, 1.54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-104175)\/(-315) - 18\/(-14). Calculate the greatest common divisor of 52 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5\/31 + 139\/93. Suppose 0 = -3*w + 5*f + 46, -82*w - 2*f - 20 = -84*w. Determine k so that -o + w*k - 2\/3*k**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*g + 3*p, 0 = 2*g + p - 3. Find the second derivative of -4*o - 18*o + 28*o - 11*o**g - 19*o wrt o.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 5)*(0 + 1 - 2*j**2 - 5 + 2*j**4) to f*j**3 + o*j**4 + m + t*j + y*j**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 28 = -21. Suppose 4*m + 5*v + 3 = 0, -v + f + 5 = 5*m. Does 6 divide (m\/2)\/(1\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of 0*r**3 + 0 + 0*r - 1\/120*r**6 + 1\/24*r**4 + 0*r**5 - r**2. Find the second derivative of s(w) wrt w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45981.\nAnswer: 3, 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 29*r**2. Let z(c) be the third derivative of -1\/30*c**5 + 5*c**2 + 0*c**3 + 0*c + 0 + 0*c**4. Determine w(z(t)).\nAnswer: 116*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, 5, -7 in decreasing order.\nAnswer: 5, 0.04, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50887 is divided by 16606?\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**8*x)\/x**(-7))**47)**(-5\/6) assuming x is positive.\nAnswer: x**(-3995\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 6*p - p - 3*w, 4*p + 5*w = 41. Suppose -p*b + 11 + 9 = 0. Put 0, b, 2 in decreasing order.\nAnswer: b, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1289665 + 0.129. What is d rounded to six dps?\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -a8434c (base 16) to base 9\nAnswer: -22666518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 97385?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*k - 15*k = 147. Solve -k*q + 4*f = 6, -8 = -5*f + 7 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1384102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/7 + 304*y\/7 - 11552\/7.\nAnswer: -2*(y - 76)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.4 - -5.2. Put -5, x, 1 in decreasing order.\nAnswer: 1, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -166820 by 5.\nAnswer: -33364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -11206 (base 8) to base 3\nAnswer: -20111122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 50 + 20 + -35?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*u + 41*u + 51*u + 26*u + 1.\nAnswer: 97*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.275 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/(-7))\/((-6)\/(-21)). Let d be -4 + 1 - (h - 3). Let j be ((-120)\/14)\/(d\/28). Round j to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9179829, -9179825, -9179821, -9179817?\nAnswer: -9179813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y\/(y*y*y**(-3)))\/y)\/(y\/y**(-1\/14)) assuming y is positive.\nAnswer: y**(13\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 0, -0.09, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 - 137 = -2*y. Suppose y = 4*w - 70. Suppose 0 = -5*r + 133 + 17. Calculate the highest common divisor of r and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 27*t - 118. Let g be d(-30). Let r = 95 + g. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 26*y - 26. Let n be c(12). Let m = 48 - n. Let u = m - -99. Solve -5*x + 5 = u*h, -x - 3 = 3*h + 4*x for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -268505.99608 - -268377. Let y = -129 - w. Round y to 4 decimal places.\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(76) + 3 + sqrt(76) + 2)**2 - -1*sqrt(76)*-1).\nAnswer: 190*sqrt(19) + 1645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 26*j + 101*t - 103*t = -17 + 8, 5*j - 77 = 9*t for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or 289?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -134 - -321. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = -10*m - 3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -5, 46 in decreasing order.\nAnswer: 46, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 2. Let k(w) = w**2 - 7*w + 8. Let z be k(6). What is the nearest to 1 in v, -5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + (-5)\/(20\/4196). Let f be (v\/(-6))\/(3\/9). Suppose -8*l - f = -4*g - 3*l, -260 = -2*g + 2*l. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.90184 rounded to 2 decimal places?\nAnswer: 7.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -7*u**2 - 11*u. Suppose b - 100 = -3*b. Let n(g) = -4*g + 3 + b*g**2 - 26*g**2 - 4. Let t be n(-5). Let w(r) = 4*r**2 + 6*r. Give t*q(y) - 11*w(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4751062 to the power of 1\/2, to the nearest integer?\nAnswer: 2180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i - 8. Let r(y) = -2 - 8 + 9. Give -6*r(x) + v(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*t = 7*t - 14328. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166131 is divided by 11059.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5934 divided by 1\nAnswer: 5934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(78)*3 - sqrt(78) - sqrt(78))\/((sqrt(96) - (sqrt(96) - sqrt(96)*-2)) + sqrt(96)) + (-4*(sqrt(1300)*-3 + sqrt(1300)) + 2)**2.\nAnswer: 635*sqrt(13)\/2 + 83204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 1 = 13. Let s(i) be the first derivative of 1 - 3\/5*i**5 + 0*i - 1\/4*i**y + 0*i**2 + 2\/3*i**3. Find a such that s(a) = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 3, 67, 350, -1, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 6*w**3 + 2*w**2 + 3. Let r be b(2). Is 59 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2.9, 1\/2, 0.253, -36?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 11213020?\nAnswer: 11213030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xr when two letters picked without replacement from {r: 2, x: 4, v: 1, u: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/289 or 0?\nAnswer: -2\/289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iim when three letters picked without replacement from ifivrmfvmfmm.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11839830.\nAnswer: 2, 3, 5, 29, 31, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(17) + -2*sqrt(17) + 0).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 9*w = -8. Let q(n) = -7*n - 15*n + 22*n + 2*n**w. Let i(p) = 7*p. Give i(q(g)).\nAnswer: 14*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10296182159 + 5.\nAnswer: -10296182154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 209, 419, 629, 839?\n\"Answer: 210*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 100374957?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1262618 and 364.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -32*h**2 - 232*h - 423. Determine c(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -112?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*w - 75 = 0, -10 = w + 4*w. Let i = -14 - 6. Let q = i - c. Let r(v) = -v - 3. What is r(q)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 15*r**2 + 8*r + 13. Let s be k(-14). Let l = s - 91. Solve y - l = -2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2968702*w - 26*w**2 + 3*w**2 - 2968702*w.\nAnswer: -23*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5256 and 3228.\nAnswer: 1413864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**2 - r**4 - 23*r**3 + 23*r**3 + 2*r**2 - r**4 - 2*r**2 + (-3 + 1 + 4)*(-r**4 + 3*r**4 - 4*r**4) as h*r**2 + v*r**4 + c + f*r + t*r**3 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -130830 divided by 623\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 253223 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8021?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 14 = -2. Suppose -2*q = -17 + 59. Let v be (q\/(-63))\/((-1)\/(-9)). Which is bigger: v or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.2 - -8.2. Put -0.2, 0.3, 2\/11, o in descending order.\nAnswer: o, 0.3, 2\/11, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -605 - -623. Calculate the smallest common multiple of 9 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 5*g**2 + 6*g + 2. Let z be k(6). Suppose 4*c - 24 = -4*q, -4*c = -0*c + 5*q - 27. Solve -5*h + c*h - z = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 3*a = -2*i - 128, -i - 60 = 3*a. Calculate the remainder when 33 is divided by 5*(i\/(-30))\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 1:42 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/((-512)\/(-4))*-2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 10:12 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33420 - -2304?\nAnswer: -31111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -109691 and -41372614.\nAnswer: -41482305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 197 + -197. Suppose z = -5*f + 3*g + 3027, 0*g = 4*f + 3*g - 2427. What are the prime factors of f?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 130, -10, 5, 2, 2\/325 in increasing order.\nAnswer: -10, 2\/325, 2, 5, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) -8 (b) -0.113 (c) 31\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.08 + 9.08. Let i = p - 13. Which is the closest to -1? (a) -0.5 (b) i (c) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/4 greater than or equal to -2075?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 8*q**2 - 83*q + 176. What is n(2)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 9*i - 6. Let g be n(-9). Let k = g - -4. Calculate the remainder when 0\/2 - k - -31 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d. Let q(x) = x**2 - 4*x. Let a = 90 - 78. Let t(p) = 3*p**2 - 40*p + 45. Let z be t(a). Calculate z*q(u) - 4*n(u).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 5*c = 5*q - 20, c = 2*q - 23. Let n = -2 + q. Let s = -1 + n. Solve 2 = -2*d + s for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*y + 12, 5*y + 117*k - 115*k + 24 = 0. Let f(u) be the third derivative of u**5\/60 + u**4\/24 - 3*u**3 - u**2. Give f(y).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/5, 4, -14, 24\/11, 7 in decreasing order.\nAnswer: 7, 4, 24\/11, 2\/5, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 9*f + 10. Suppose s = -f*d - 2*s + 882, 2*s - 704 = -4*d. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.28388954 rounded to 2 dps?\nAnswer: 1.28","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, h: 2}. What is prob of sequence hgg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 386 - 46. Calculate the highest common divisor of n and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -5*a - 80, 4*h = 4*a + 30 + 38 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/24 and 14\/36248115.\nAnswer: 289984920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23895698 is divided by 2141.\nAnswer: 2138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 71 = 3*d, 4*u - 2*d + 3*d = 101 - 218 for u.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4018 divided by -2.\nAnswer: 2009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(33\/(-36) + 2\/3). Suppose -8 = -l - 5*h + 94, -g*h + 12 = 0. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/4446 and 29\/4940.\nAnswer: 44460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 e, and 1 k when four letters picked without replacement from {s: 4, k: 3, e: 3, h: 3, z: 7}?\nAnswer: 18\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1700) + 1 + sqrt(2448) + (sqrt(2448)*-1 - sqrt(2448))**2 + 2.\nAnswer: 22*sqrt(17) + 9795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1966, -3929, -5892, -7855, -9818, -11781?\nAnswer: -13744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*f + 7*f = 2319, 3*t - 1417 = 4*f. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1404\/3077?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -1\/30*c**5 + 0 + 0*c**7 - 25\/3*c**4 - c + 0*c**3 + 0*c**6 + 57*c**2 + 1\/14*c**8. Find the second derivative of k(l) wrt l.\nAnswer: 480*l**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4478 + -4687.1. Let f = i - -199. Let j = -10.1000154 - f. Round j to six dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(539) - (sqrt(539)*2 + -1) - (-2*sqrt(539))**2*-5.\nAnswer: -7*sqrt(11) + 10781","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -180*i**5 + 3*i**4\/4 - 992*i - 4807. What is the derivative of h(w) wrt w?\nAnswer: -3600*w**3 + 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) -8295 (c) 417\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44551 and 106377507.\nAnswer: 3427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -419280 divided by 20\nAnswer: -20964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 6 = 5*p, -4*p + 26 = 3*l. Calculate the lowest common multiple of l and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 + 13. Let w(b) = -b + 26. Let u(x) = -x - 1. Let o(f) = 4*u(f) + w(f). List the prime factors of o(j).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/4))**(-5)*((z*z\/z**(-1)*z)\/z*z)**(-8))\/((z\/z**9)\/(z*z**(-5)\/z)*(z\/z**(2\/5)*z)**(5\/7)) assuming z is positive.\nAnswer: z**(-809\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -17.3. Let u(d) = 4*d - 18. Let z be u(5). Let h = 0.14 - -0.26. Which is the nearest to z? (a) -0.4 (b) n (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 y, 1 r, and 1 h when four letters picked without replacement from {r: 1, y: 2, h: 1, o: 2, v: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/(-4))\/((-5)\/10))\/(-24)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cok when three letters picked without replacement from {c: 6, k: 6, o: 3, f: 3, x: 1, u: 1}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 17, b: 1}. Give prob of picking 2 z.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 872*j - 916*j + 176 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (22940\/60)\/37 + -3 + -10?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 12*w**2 + 3*w + 30. Let i be d(12). Let k = i + -65. Sort 4, k, 8, -7 in ascending order.\nAnswer: -7, k, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -2.76?\nAnswer: 16.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(7) - sqrt(14)\/(sqrt(12)\/sqrt(6)) - (-2 + sqrt(28)\/sqrt(4))**2).\nAnswer: -66 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20059 and 2561?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (945\/(-252))\/(21\/8). Which is the fourth biggest value? (a) m (b) -1\/6 (c) -4 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a*r + 68264*a - 8*r - 2829 wrt a.\nAnswer: -2*r + 68264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 72 + -56.2. Let s = i - -86.2. Let d = s + -102.4. Sort 1\/3, d, 4.\nAnswer: d, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3*q**2 - 4)*(1 + 0 + 8) - 136*q**2 + 280 - 280 to the form p + s*q + y*q**2 and give y.\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p - 5. Let z = -17 - -10. Let h be x(z). Suppose -h*s = -5*s - 16800. Round s to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of h**3\/3 + h - 621. Let p = 7 - 6. Let a(o) = -7*o**2 - 27. Let d(g) = p*a(g) + 6*m(g). Differentiate d(q) with respect to q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.6 * 374184\nAnswer: 972878.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -34.6 * 0.083164\nAnswer: -2.8774744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffcffffdffftfcft. What is prob of sequence dc?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62 + 72. Solve -7*v + a*v = 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (3\/5 - (-258)\/(-30)). Put 13, o, -9 in increasing order.\nAnswer: -9, o, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**7*h**(-3\/2))\/(h**(2\/17)*h*h**5) assuming h is positive.\nAnswer: h**(-21\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 9.514018km?\nAnswer: 9514.018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zs when two letters picked without replacement from {z: 7, g: 1, s: 2}.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74 - 46 + 2)*(0*j + j - 3*j)*(-2 + 2 - 2*j)*(0 + 2 - 3).\nAnswer: 472*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 8*j**2\/17 + 95978*j\/17 + 23994\/17 = 0.\nAnswer: -11997, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -9 + (-12 - (2 + 6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111000010 - -101001?\nAnswer: -10110011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1226024.\nAnswer: 2, 331, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.43 - 1.43. Which is the second biggest value? (a) r (b) -1\/4 (c) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7 - 1)*(-2 + 1). Let l be 3*3\/18*m. Let y be (-14)\/(-8) - (-3)\/12. Is l at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 0)\/((-2)\/(-8)). Put 0, 2, g, 5 in decreasing order.\nAnswer: 5, 2, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12 - 177a28?\nAnswer: -177a3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -50984.78689 to the nearest one hundred.\nAnswer: -51000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**3 + 2*x + 2. Let n(g) = -2*g**2 + 4. Let j(m) = m**3 + m**2 + m - 1. Let s(c) = -2*j(c) - n(c). Determine -2*s(f) - 3*t(f).\nAnswer: -2*f**3 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 297893993 to the nearest integer?\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 2*y - 5. Let x be m(-5). Let u = -15 + x. Suppose 4*n + u = 39. What is the remainder when 10 is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4031551 weeks to hours.\nAnswer: 67.7300568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 715 + 5635. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in -4\/7, -1\/2, 1015, 2\/2309, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 26 = -4*r + 57, 5*r - 47 = -2*o. Which is the fourth smallest value? (a) -2\/3 (b) -2 (c) r (d) 1 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6152, -12589, -19238, -26099, -33172?\n\"Answer: -106*c**2 - 6119*c + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**2 + 3*p. Let a(t) = -t**2 + t. Let c(k) = 6*k**2 + 17*k - 7*k**2 + 5 - 15*k. Let l be c(4). What is l*a(x) + s(x)?\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of k**5\/10 + k**2\/2 + 2*k. Let b be r(1). Suppose -4*c + 2 = -b*c. What is the greatest common divisor of 5 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 415889 bigger than 415889?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 95 = -133. Let g = m - -32. Let w = -21 - g. List the prime factors of w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -5, -2*t = -3*a + 2*a - 9. What is w in 3*w - 2*w + w**2 - 4*w**t + 2*w**3 = 0?\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-5))\/(27\/(-15)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 6*g**2 - 4*g - 4. Let m(p) = 3*p - 4*p + 6*p**2 - 5*p**2 - 1. Let y(d) = 4*m(d) - z(d). Let h(f) = -f. Calculate h(y(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 17*g + 6 + 2 + 4*g - g**2. Let u be o(20). Let d = 18 - 11. Calculate the greatest common factor of u and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 11215*x + 11218*x - 1 - 22431*x + 20*x**2. Let i(j) = j**3 - j + 1. Let l be i(1). Determine t(l).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*m - 2*n, -2*m - 4*n = -0*m + 12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/213 and 23\/14100458.\nAnswer: 42301374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**2 - 11. Let c(m) be the first derivative of 2\/3*m**3 + 10*m - 3 + 0*m**2. Let d(i) = 5*a(i) + 6*c(i). Differentiate d(w) with respect to w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of 0*v - 1\/40*v**6 - 3\/8*v**4 - 1\/2*v**3 + 32*v**2 + 0 - 3\/20*v**5. What is i in y(i) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 9\/(-27)*1880\/60.\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -535c729 - 5?\nAnswer: -535c730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -37040.101 take away -68?\nAnswer: -36972.101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 24*v**2 + 458*v - 17. What is z(-19)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3656695?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15 + 4?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vci when three letters picked without replacement from cvivic?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 85*x**3 + 485*x**2 - 141. Find the second derivative of j(h) wrt h.\nAnswer: 510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/23, 4, -0.63?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -76, 2\/11, -2\/19, -2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 8 = -5*r, 145*a - 3*r - 20 = 150*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 93629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1058*v + 2081*v - 1368*v to the form a*v + k and give a.\nAnswer: -345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.561 + 0.061. Let l be (-2)\/9 - 4\/(-45). Which is the closest to -1? (a) l (b) g (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3 - 174093*i**2 + 2525958840*i - 7576309764.\nAnswer: 3*(i - 29014)**2*(i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -1 (c) -0.4 (d) -0.5 (e) -24700\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 20 - (-11 + 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95868 + 76262 = 10*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - -14. Suppose -c = -4*f + 1. What is the smallest common multiple of f and -1*(-5)\/(5\/3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2346*i**2*m**2 + 16*i**2*m - 6*i*k*m**2 + i*k*m - 77*k*m - 35*m wrt m?\nAnswer: -4692*i**2 - 12*i*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -18\/6823649 and -95\/7784?\nAnswer: 54589192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100.25594 milliseconds to weeks.\nAnswer: 0.00000181920625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aqvvqavuaqarq. What is prob of picking 2 v, 1 r, and 1 a?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 1452 - 1432, -5*x = p - 205. Calculate the remainder when p is divided by 41.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**4 - 3*b**4 - b**4)*(-115*b + 16 - 52 + 25 + 17).\nAnswer: 460*b**5 - 24*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3142, -6253, -9352, -12439, -15514, -18577, -21628?\nAnswer: -24667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 8*m + 17. Calculate the lowest common multiple of a(-6) and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 6 - 21 = 0. Let t(f) = f**3 - 11*f**2 + 17*f + 5. Let k be t(p). Let m be (k - (1 - 4)) + 1. Let j(n) = n + 6. Determine j(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 4 (c) 1 (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a kilogram in grams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43454?\nAnswer: 2, 21727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30.4 + -30. Which is the closest to 2\/3? (a) 1\/2 (b) -1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 - 0.7. Let h be (348\/16)\/((-3)\/16). Let g = -121 - h. What is the nearest to o in -4, -1.2, g?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - 80)*(1\/(-1))\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -837\nAnswer: -4\/837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 8:37 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-6)*a)**(-1\/15) assuming a is positive.\nAnswer: a**(4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 7250373.\nAnswer: 50752611","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7\/40 + 821\/120. Let k = -295 + 303. Which is smaller: i or k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3 + 35*o**2 + 55*o + 25.\nAnswer: 5*(o + 1)**2*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -481*t - 2008. Calculate s(-4).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 51078594 and 51078594 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, x: 5}. Give prob of sequence xeex.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 1, -2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -132? (a) 2\/11 (b) 3 (c) 1\/22 (d) -3 (e) 2\/3 (f) -7\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + (-1 - 0) - 2) + (-50 - -33) + 42?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 less than 0.2?\nAnswer: -114.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (14\/10)\/((-61)\/305). Let l(m) = -9*m**3 - 7*m**2 - 8*m + 3. Let s(t) = 13*t**3 + 10*t**2 + 12*t - 4. Calculate c*l(r) - 5*s(r).\nAnswer: -2*r**3 - r**2 - 4*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 5*c - 32 - 6, 4*q + c = 28. Let v be 2\/(-11) - (-2478)\/77. Suppose -3*k + 4*w + 0*w + v = 0, -k + 24 = -4*w. Solve -k*s + q + 10 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((96\/28)\/12*56)\/(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -13719*i - 109880. Calculate l(-8).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j + 4551 - 2279 + 564*j**2 - 2272 to l*j**2 + d + z*j and give l.\nAnswer: 564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2280, 2763, 4074, 6627, 10836, 17115, 25878, 37539?\n\"Answer: 69*h**3 + 2211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 4:43 PM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (4 + -1*sqrt(117) - sqrt(117)) - -3*(2 + sqrt(117) - sqrt(117)))**2 + -4.\nAnswer: 36*sqrt(13) + 1053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -607 - -721. What is the remainder when r is divided by 22?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + m + 38 = 0, -1288796 = -3*c + 3*m - 1288772 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2735 divided by 59.\nAnswer: -2735\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41743?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.73 - 0.8. Let n = -5.07 - m. Let o = 8 + n. Which is the nearest to -1? (a) 4 (b) -1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.3, -0.459, 2\/5?\nAnswer: -0.459","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-63)\/6)\/(-7)*(-4)\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(171) + 2*sqrt(171)))\/(sqrt(405)\/sqrt(5)) + (sqrt(684) + sqrt(684)*2*-2 + sqrt(684))*4)**2.\nAnswer: 38475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*v**2 + 15*v - 18 = 0. What is v?\nAnswer: -3, 6\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/15? (a) -0.2 (b) -0.15 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 28 + 9*l**2 + 6*l**2 - 22*l**2.\nAnswer: -7*l**2 + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*b + 71*b - 19933263. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(6\/7))\/p*p**7)\/(p*p**7*p*p**(-4)) assuming p is positive.\nAnswer: p**(20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-5)\/(f**7*f)*f**(-1\/4)\/(f**(-2\/9)*f)*((f*f**(-7)*f)\/f**7)**(-25) assuming f is positive.\nAnswer: f**(10295\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 833 - 831. Let u = -22\/5 + 4. Which is the closest to j? (a) -0.1 (b) 1\/3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a kilogram in grams?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b + -23?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/15 - (-44)\/10. What is the third derivative of -3*i**2 + 3*i**u - 6*i**4 + 5*i**2 wrt i?\nAnswer: -72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -178 (b) -0.215 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1938401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1853*z**5 - 2*z + 3582 wrt z?\nAnswer: 37060*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001400676 rounded to 6 dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 949*y + 12 = -952*y, 4 = -k - 4*y for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**2 + 300*k**5 + 320 + 3*k**4 + 78 + 155 + 314 wrt k?\nAnswer: 18000*k**2 + 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**26*r*r)\/r)\/(r\/(r*(r\/(r\/(r\/r**(-2\/35)*r))*r)\/r*r*r*r)*r))\/(r**11\/(((r*r**(-7))\/r*r)\/r)) assuming r is positive.\nAnswer: r**(492\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 divided by -1?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25 - 20*a**2 + 24 + 18 + 24 + a**2 + 4*a wrt a?\nAnswer: -38*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3591801569.\nAnswer: 89, 157, 257053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 903, 901, 897, 891, 883?\nAnswer: 873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13569\/2*13*(-340)\/(-663).\nAnswer: 2, 5, 4523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -16. Let z(u) = 0 + 2*u**2 + 3*u**2 - h - 2*u + u**3. Suppose -f = -0*x - 3*x - 13, -2*x - 12 = f. What is z(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/7 (b) -0.5 (c) 2\/65 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i*t**3 - 1958*i*t**2 - 94*i*t + 19*t**3 + 61*t - 8 wrt t?\nAnswer: -12*i*t - 3916*i + 114*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -42*s. Let x(y) be the second derivative of -y**6\/360 - 19*y**4\/6 - 7*y + 1. Let c(n) be the third derivative of x(n). Give k(c(i)).\nAnswer: 84*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 8 = c, 0 = 5*c - 0*c + 3*y - 1. Suppose -c*t = -t. Let v(b) = b**2 + 8. What are the prime factors of v(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*t + 4 - 4 + (2*t - 3*t + 2*t)*(2 - 2 + 2))*(-2*t**3 + 3*t - 3*t) in the form v*t + b + m*t**3 + g*t**2 + z*t**4 and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 501445254 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -223, -510, -919, -1456, -2127?\nAnswer: -2938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.9084 and -1463.\nAnswer: 2791.9892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1, -5, 2 in descending order.\nAnswer: 2, 1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by 11\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2. Let t(c) = -5411 + 27*c + 5411. What is f(t(h))?\nAnswer: 729*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15636 is divided by 15149.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 26 and 0.17.\nAnswer: 4.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -83, -5, 1.8?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -10 - 10. Suppose n*d - 9 = -0*d - 4*o, -3 = -4*d + o. Which is the third biggest value? (a) 0.5 (b) d (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-30)\/20*2\/(-3). Suppose i + p = 4. Calculate the highest common factor of 3 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2800706071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -198*i + 22. Let c be n(-6). Suppose -z + c = -297. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/32 and 85\/28.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 517 + -516.95. Let w = -1 + 1.1. Let i = 1.1 - w. Which is smaller: x or i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 1. Let d(c) = c**3 + c**2 - c. Let l(h) = 6*h**3 + 11*h**2 - 14*h + 8. Let i(r) = x*l(r) - 5*d(r). Is i(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a - 10, u - 4 = -a for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1989 is divided by 494?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -1\/3, -3\/8, 8\/5, -2, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -15. Let c = n + 5. Solve -15 = z + 3*d, c*d = 2*z + 2 - 16 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 3*s**2 + 2. Let u be t(0). Let m be (-2)\/((12\/(-112))\/(-3)). Let f be (m\/70)\/(1\/(-10)). Calculate the highest common factor of f and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7884 - 7884.3. Let o be 24\/18 - 4\/6. Sort -1\/18, g, 1\/3, o.\nAnswer: g, -1\/18, 1\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 237d5 (base 15) to base 7\nAnswer: 650612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -685*v - 1130*v + 50627 = -61460 + 39487 for v.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -2. Suppose 12 = 4*j - 56. Suppose q - 5 - 6 = 5*r, j = -2*q - 3*r. Which is the third smallest value? (a) q (b) k (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64207 divided by 13?\nAnswer: -4939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -76 - 19?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 2. Suppose o*j + 14 = -4*f, j - 3*j = -f - 9. Let i be (j - (4 + -2))\/2. Solve 5*m + 2 + 3 = i for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -5) + 2 + 4 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 149465450 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4282006 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 57894 = 57899 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15324, 30648, 45970, 61290?\nAnswer: 76608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 8264.\nAnswer: 16528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17050 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: Let h = -0.04 - 0. Let m = -1.04 - h. What is the closest to 1 in -2\/7, 5, m?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (4 - 8 - -5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)*-3*1 + sqrt(110))\/sqrt(10) - (((2*sqrt(121))\/sqrt(11))**2 + sqrt(396) + 0)) + -4.\nAnswer: -48 - 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(720\/9)*4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**2 - 9 - 6*y + 13*y + 4*y**2. Let n be f(-8). Is -2\/19 greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1891949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -131 in 0.05, 0.046, 20, 0.2, 2\/11?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d - d**4 - d - 180*d**3 - 18*d**2 - 2 + 19*d**2 as a*d + l*d**4 + t*d**3 + z*d**2 + g and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 1 - 2*d**2 - 1. Let k(f) = 4*f**2. Give k(y(p)).\nAnswer: 16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 + 12132\/378 - 3\/(7434\/320).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -53*q - 2171. Let v be m(-41). Solve 4 = -c, 4*b - b - v = 2*c for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226*r - 996 = 238*r. Let o = -270 - -188. Is o less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96531 is divided by 3860?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 30632.\nAnswer: 5\/30632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -0.4, 161\/5, 46, 0.3, -12 in decreasing order.\nAnswer: 46, 161\/5, 1\/3, 0.3, -0.4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of 0 - 30\/13*r**2 - 133\/39*r**3 + 3\/26*r**4 + 54*r. Factor a(z).\nAnswer: 2*(z - 15)*(9*z + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2. Let d(z) be the second derivative of -144*z**3 - 108*z - 4. Determine d(k(u)).\nAnswer: 1728*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y + 2. Let m be i(1). Let w(n) = -n**3 + n**2 + 2*n. Let p be w(2). Suppose -v + 5*u = -72, 2*v - m*u = -p*u + 134. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s. Let g = -29 - -31. Let p(q) = q**2 + q + 2. Calculate g*i(u) + p(u).\nAnswer: u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-75)\/(-30)*(-1 - -5). Suppose 0 = f - 16 - j. Let v be 0 + 5\/((-10)\/(-4)). Solve f = 3*g + 5*y, -4*g - v*y - 4 = -5*y for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 35790 + 4286 = 3*p, -2*p = 3*c - 26719. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 9*d - 33*d**2 - 26*d**3 + 13*d**3 + 28*d**2 + 12*d**3 + 10. Determine p(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 4*c - 61, 3*l - 57 = 2*c + c. What is the least common multiple of (l - 5)\/((-1)\/(-1)) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z**2 - 33*z - 108. Let v be s(-4). Solve 70*t + 6 = v*t + b, 4*t - b = 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 - 6*w**3 + 3*w**3)*(-5283 + 2088 + 1480).\nAnswer: 3430*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 9*u + 13. Let x = 191 + -341. Let b be x\/(-14) - 4\/(-14). Is m(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 669 + -361. Suppose p = -0*z + 4*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-132)\/(-36) - 10)\/((-2)\/(-66)). Put 0.1, -0.1, t in descending order.\nAnswer: 0.1, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 80*u**3 + 36*u**2 - 8104*u.\nAnswer: 480*u + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*d**3*j**3*p - d**3*j**2*p**2 + d**2*j**3 + 2*d**2*j*p - 2*d*j**3*p**2 - 110*d*j**2*p - d*j*p**2 wrt j?\nAnswer: 24*d**3*p + 6*d**2 - 12*d*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*x = -x - 50. Solve 95*j**2 + 4*j**x - 22*j - 2*j - 4 + 6*j**2 + 8*j = 0 for j.\nAnswer: -2\/15, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (64\/(-80))\/(28\/(-7980)*6)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -236*s + 1658. Calculate v(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4\/3 - 17754*n**3 + 266210*n**2 - 3992650*n\/3 + 2218000.\nAnswer: 2*(n - 26616)*(n - 5)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 12 + 5*y**2 - 12*y - 3*y**3 + 8*y**3 + 4*y. Let m(b) = b + 0*b**3 + 5*b**3 - 6*b**3 - 1 + 0. Let j(s) = -6*m(s) - u(s). What is j(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -211, 2\/17, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 5*d**2 + d - 8. Let i = 84 - 89. Is n(i) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.007728 and 0.061.\nAnswer: -0.000471408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ohjkhhzzhohkzhhohzh. Give prob of picking 1 o and 1 k.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + 2*r. Suppose r*t + 2 = -2*j + t, 0 = j - 4*t + 15. Solve m + 4 = -j for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2120*z - 212025 = 343*z + 364*z for z.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 7*b + 2. Let k(u) = 52 - 3*u + 43 + 46 + 49 - 191. What is -4*i(l) - 9*k(l)?\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -66 equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 19 times -34\nAnswer: -646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92642.\nAnswer: 2, 11, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1152 + -1642. Round n to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -2*t + 3, -5*t = -3*x - x - 90. Suppose -6*o + t*o = 16. What is the second derivative of -4*w - 5*w**2 + 6*w**o - 21*w + 5*w wrt w?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-134)\/(-4) + (-56)\/(-14) and -41\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 29 = -5*d, -3*w - 3*d - 8 = 13 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2))**(-1\/3))**(-36) assuming x is positive.\nAnswer: x**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -dd1?\nAnswer: dd0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 4*g**2 + g + 1. Suppose 0 = -5*c + 14 + 1. What are the prime factors of i(c)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 5. Let r = 28 + -29. Which is the closest to z? (a) -2\/7 (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3004*h = -3846*h + 736*h - 470778 for h.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 3:51 AM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 78 = -h + 154, -4*h - 4*z = -924. Let q be 4*-7*(-1 + -2). Suppose -m + h = q. Is m a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -1. Let n be v\/20 + 26\/5. Suppose 5*o = -5*w + 60, n*w - 2*w = 2*o - 9. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3362560.6842 and 430.1.\nAnswer: 3362990.7842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*p + 10*p - 18*p + 4*p + 17*p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 243 - -78. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56992.\nAnswer: 2, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 417142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 2*a + 10. Suppose -3*w = -a*n - 22, -5*w + 5*n - 16 + 56 = 0. Find the second derivative of 0*c + c - w*c**2 - c**2 wrt c.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 7:12 PM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000101101101010 (base 2) in base 8?\nAnswer: 205552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) 281 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - (-8 + 4))\/(2\/9). Suppose 5*a - n*a + 308 = 0. What are the prime factors of a?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/34)\/((-1304)\/(-11084))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 7*r**2 + 8*r - 8. Suppose 4*m - 5*v = 48, -1 = 4*m + 5*v - 9. Let l be b(m). Suppose -2*g = 2*g - l. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t = 4*q - 12, -q = 4*t + 1764 - 1745 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -74, -78, -82, -86, -90?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by (310\/6)\/((-42)\/(-126)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -722*q + 2*q - 2 + 2 - 628*q in the form v*q + n and give v.\nAnswer: -1348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -5*q - 25, 8*q - 3*q - l + 7 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 8 + 3*z + 0*z - 5*z. Let l(x) = -1. Suppose -7 = -s + 5*k + 9, 4*s - 7 = k. Calculate s*n(u) + 10*l(u).\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g**4\/2 + 18737*g**3\/2 - 2655171*g**2\/2 + 125000683*g\/2 - 979985297 = 0. What is g?\nAnswer: -18878, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -5 + 3*(-11305)\/(-5)?\nAnswer: 2, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 56\/89 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -59170 minus 0.3?\nAnswer: -59170.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.853 rounded to 0 dps?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**2 - 12*k**2 + 19*k**2 - 53*k - 7 - 7*k**2.\nAnswer: -3*k**2 - 53*k - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**4 + 2*f**4 - f**4)*(0*f - 3*f + f) + 7*f**2 + 2*f**5 + 4*f**2 - f**5.\nAnswer: 3*f**5 + 11*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) 4\/29 (b) 9 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -4, -18, -50, -106, -192, -314, -478?\nAnswer: -690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 6 - 12. Let j = 1 + -4. List the prime factors of (-4)\/w + (-11)\/j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10 - 0)\/((-1770)\/(-708)). What is the greatest common divisor of 47 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 331*o - 109*o - 5*o**2 + 1085*o + 20*o**2.\nAnswer: 15*o**2 + 1307*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2297, 2290, 2269, 2228, 2161, 2062, 1925, 1744?\n\"Answer: -s**3 - s**2 + 3*s + 2296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 23*m**2 + 3*m - 1. Let u = 48 + -50. List the prime factors of x(u).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*u = -20, -20 = -5*i - 4*u. Suppose -4*k + i*k = -20. Suppose 0 = k*s - 883 + 68883. What is s rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 838238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48895 is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, z: 4, p: 7}. Give prob of sequence zzzx.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 4\/35373?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(162))*5.\nAnswer: 20 + 45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -552 - -9941\/18. Suppose 6*m + 21 - 15 = 0. Is p smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5637740251 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6490 = 51*r + 5623 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -3*w**3 + 2178*w**2 - 226473*w + 659898 = 0.\nAnswer: 3, 122, 601","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.082029 nanograms to grams.\nAnswer: 0.000000001082029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i**2 - 2*i**2 + 6*i + 4 + 2*i**2. Let t(o) = 6*o + 11*o + 307*o**2 + 11 - 315*o**2. Determine 11*j(b) - 4*t(b).\nAnswer: -b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/778632 and -43\/48.\nAnswer: 1557264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 593695009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1111101100 (base 2) to base 12\nAnswer: -6b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*l**5 + 2*l**2 - 28*l**3 + 28*l**3 - 662*l + 87*l**5 + 18*l**5 wrt l.\nAnswer: 6120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00996312434 rounded to 6 decimal places?\nAnswer: -0.009963","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2158 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 2\/5 (c) 0.14 (d) 458477 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 5*n**2 - 2*n + 2. Let r be d(2). Suppose -69 = p - 2*p. Suppose -r*v - p = -13*v. Calculate the greatest common divisor of v and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 91749964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 231\nAnswer: 5\/231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**5 + 2630*v**3 + 48*v**2 - 2594*v**3 - v**5 = 0. Calculate v.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36814?\nAnswer: 2, 79, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 67*t + 5. Let j(r) = 2*r. Give g(j(p)).\nAnswer: -4*p**2 - 134*p + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -373 != 646?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 50*c**3 - 110*c**2 - 112*c - 29. Let q(v) be the third derivative of -v**3\/6 - v**2. Let a(o) = 5*q(o) - r(o). Let a(l) = 0. Calculate l.\nAnswer: -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/1)\/((15\/(-150))\/((-14)\/35)). Let g(j) = -2*j**2 - 11*j - 2. Let p(r) = 2*r**2 + 10*r + 3. Determine s*p(c) + 5*g(c).\nAnswer: -2*c**2 - 15*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -5*y**3 - 13*y**2 + 6*y + 11. Let r be t(-3). Solve 3*z + r = 22*j - 24*j, 0 = -j - 5*z - 23 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-208))\/3*6\/12*(-32)\/(-20)?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2777 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 2*v + 0*v)*(8 - 2*v**2 - 11 + 0*v**2).\nAnswer: -2*v**3 - 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 14\/23, 2, 3, -1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -6. Suppose 3*j - 31 = -i. What is the greatest common divisor of 8 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of 489*n**5\/20 - 79*n**4\/3 + 9*n**2 + 59*n. What is the second derivative of d(f) wrt f?\nAnswer: 2934","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g**2 - 7*g**2 + 8*g**2 - g**2 - 7*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, k: 2, n: 1, a: 3, v: 2, f: 2}. What is prob of sequence kvv?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 252579839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 u when three letters picked without replacement from uxbx.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/85*(-194667)\/(-2429)?\nAnswer: 66\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81652944?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22059 is divided by 11025?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*v**2 + 14*v - v - 462*v**2.\nAnswer: -571*v**2 + 13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 62. Let v = -44 + y. Let q be (60\/(-35))\/(v\/(-98)). What is the greatest common factor of 28 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppxpppx. What is prob of picking 1 p and 1 x?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 4*m - m)*(1 - 4 + 4)*(-m**2 + 4*m - 4*m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 less than or equal to 403\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16c8 + -19?\nAnswer: 16ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.8 + 16. Let n = x + -19. Let w be 2 + (-2)\/1 + 0. Sort n, w, 4.\nAnswer: n, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 458*6\nAnswer: 2748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of u**6\/30 - u**4\/12 - u + 1. Let s(k) be the first derivative of l(k). Find the third derivative of s(o) wrt o.\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of 3*s**5\/20 + s**4\/4 - s**2\/2 - 17*s. Let c(b) = b**3 + b**2 - 1. Give -2*c(z) + t(z).\nAnswer: z**3 + z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 5*b**3 + 36*b**2 - 128*b + 104. Give t(-10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1880*k**2 + 5644*k**2 - 1882*k**2 - 1881*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*z + 101*z + 40*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, c: 2}. Give prob of sequence ff.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (19 + 3)\/((-2)\/12). Let y be (-4)\/(-14) - a\/28. Let l(x) = -x + 0*x + 6 + x**3 - x - 5*x**2. Give l(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*s = -116*s - 124150. Is 50 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -59 (b) 0.2 (c) -25 (d) 2\/7 (e) 4\/7 (f) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -972.8*5.\nAnswer: -4864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 866*c + 2*b = 868*c - 8, 5*c - 3*b = 26 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 3. Let r be 6\/o*200\/3. Calculate the highest common factor of r and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 divided by -13?\nAnswer: 64\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/4*(-312)\/273?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 2:40 PM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -209 + 230. What is the third derivative of 3 + f**2 - 4 + 68*f**3 + 21*f - 7 - x*f wrt f?\nAnswer: 408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 10001010?\nAnswer: 10001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of 1\/12*z**4 + 0 + 5\/2*z**2 - 11*z + 7\/6*z**3. Let g be (5\/4)\/(1\/(-4)). What is p(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 555992427 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 840 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1, 3, -7 in descending order.\nAnswer: 6, 3, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -979*n = -995*n + 738 + 174, -3*n = 4*s - 155 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 119 + -117. Suppose -38 = g - 5*o - 325, -g + 284 = -q*o. Round g to the nearest 10.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.9 (b) 1004 (c) 2\/29 (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -51648 divided by 294?\nAnswer: -8608\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-6) - (-600)\/(-18). Find the common denominator of 15\/7 and (-4)\/(120\/s) + 0.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1658c - 0?\nAnswer: 1658c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/10 - 26\/(-5). Suppose 2*z + 39 = -k*i + 269, -19 = -i + 5*z. Let h = i + -21. Is h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-2 + sqrt(1872) - sqrt(1872)) + 1 + -1 + -2 + 5)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 7*h - 8. Let g(k) = 8 + 17*k - 12*k - 11*k. Let n(z) = -6*g(z) - 5*i(z). Determine n(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -q**4\/24 + 5*q**3\/3 + q**2\/2 - 6*q. Let t(o) be the first derivative of v(o). Give t(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 260 and 2586370?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 164*k - 1900. Determine a(10).\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0274 and -776?\nAnswer: 775.9726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*o**3 - 4*o**4 + 9*o**3 + 0*o**2 + 2 + 2*o**2 to the form x*o + l + h*o**4 + n*o**3 + f*o**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28102?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/5 (b) -94\/7 (c) -75 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -4*c - 25, 5 = i - c - 2*c. Suppose 12*d + 3 = 15*d. Calculate the greatest common divisor of i and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1051 (base 7) to base 11.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i + 2. Let q = -7 + 5. Let z be j(q). Let k be z*(-1 - (-6)\/4). Solve k = -4*a + 4*f + 16, -5*f = a + 11 + 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {q: 6, n: 12, v: 1}?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 1\/170, -21, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -83*m**3 + 18*m**2 - 139*m + 35*m - 16*m**2 + 18*m**3 wrt m.\nAnswer: -390*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/14 - (-8)\/28. Suppose -20 = 3*c + q*c. Is 21 a factor of (-174)\/c + (-21)\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4879 is divided by 1352.\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - 18 - ((2 - 13) + -6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2036132 and -0.16.\nAnswer: -325781.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 + -24. Suppose -4*x + 365 = -h, -x - 4*h + h + 75 = j. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19387 = -1738*w + 25440 - 5645 + 32076 for w.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 5*a = -3*a - 6, -5*a = -5*u - 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23660 and 60?\nAnswer: 70980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 190100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 5:21 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/((y*y**(6\/11))\/y))**(-44))**39 assuming y is positive.\nAnswer: y**(-2496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1)*p\/((p*p**4)\/p))**(-23\/5) assuming p is positive.\nAnswer: p**(92\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 10*m. Let h(t) = -t**2 + 287*t - 769. What is the remainder when h(284) is divided by f(7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 - 31. What is the closest to -1\/2 in 0.5, d, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 8.183268t?\nAnswer: 8183.268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 46\/14 + 2\/(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/7*-1)\/(-8).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3 + (-5)\/(-100))\/(60\/(-150)) and 85\/52?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -4.85.\nAnswer: -4.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 649 divide 2250636668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a**3 + 2*a**2 - 3*a + 1. Let p be c(1). Suppose p*u + 117 = 13*u. What is the third derivative of 9*b**2 + u*b**4 - 2*b**4 + 6*b**4 wrt b?\nAnswer: 408*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.21528 + -48?\nAnswer: -96.21528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 8940832?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 = 3*s - 145. Let t = s + -6. Is t a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02*1824109\nAnswer: -36482.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, v: 2, h: 1}. Give prob of sequence vb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3528428 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-116)\/261)\/((-22)\/33*(-6)\/8).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24104 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 17, 126, 4 in descending order.\nAnswer: 126, 17, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15.2 + 16.17. Let n = 2 - 2.03. Let l = n - w. Sort 1, l, -4 in increasing order.\nAnswer: -4, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 321, 2725, 9295, 22113, 43261, 74821, 118875?\nAnswer: 177505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-1)\/b)\/b*b)**(-12)\/(b**(2\/7)\/b)**(-5\/3))\/((b**(-1\/2))**(2\/37)\/(b*b\/b**1*b**(-4\/3))) assuming b is positive.\nAnswer: b**(17485\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 4*y - 7. Let j be g(6). Suppose -2*z + j*r = -5*z + 322, z - 5*r = 94. What is the derivative of -104*h**2 + h**3 + z*h**2 - 4 wrt h?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 215?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 711 + -506. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 5*a**2 - 6. Let j be w(5). Let f be (-309)\/j + (-1)\/(-2). Let b = -27 + f. Calculate the remainder when b is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 3*l**4\/2 + 4*l**3\/3 + 4. What is the third derivative of r(p) wrt p?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 397407.\nAnswer: 3, 132469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-1) + (-40 - -42). Let c be (16\/2)\/w - (-30 + 19). Suppose -226 = -5*f - 76. What is the greatest common divisor of f and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 82e3ea (base 15) to base 7\nAnswer: 103622632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*u + 100*u**2 - 236*u**2 + 101*u**2 - 44*u**2 + 80*u**2.\nAnswer: u**2 + 41*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 11, t: 7, v: 2}. Give prob of picking 2 j.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/14 - (-264)\/624?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.28935 or -0.2?\nAnswer: -0.28935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*x**3 - 5*x**3 - 8*x**3.\nAnswer: -115*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 416791346.\nAnswer: 2, 17, 43, 97, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 7) in base 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5550 is divided by 27.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 80 = -4*j, 4*j - 10 = -4*b + 46. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 x when four letters picked without replacement from {i: 4, x: 2, g: 3, n: 2, d: 2, o: 2}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/9)\/(1\/(-12)). Let n(x) = -8*x + 12 - x**3 - 6*x + 9*x**2 + k*x. What is n(8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6964, 6969, 6974?\n\"Answer: 5*j + 6959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 247*t + 10292. Give u(-42).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18549*n - 11440 = -18329*n for n.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2*g + g - 7 = 0, -4*t + g + 15 = 0. Suppose -m = -t*v + 4*m + 18, 3*m = -4*v + 2. Let j be 18\/3*1\/3. Solve -v*p = j*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 442840, 885685, 1328530, 1771375, 2214220?\nAnswer: 2657065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -2*r + 3*j, -2*r - 5 = j - 2*j for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -70371*j**3 - j**2 + 2*j - 2. Let n be x(-3). Round n to the nearest one hundred thousand.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 13, o: 5}. Give prob of sequence ot.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -4*v + 7 - 3, 2*m - 14 = -5*v. Suppose -v*z + 71 = -23. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a**2 - 53*a**2 + 12*a**2 + 14*a**2 + 9*a**2.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -406 + 2561.579724.\nAnswer: 2155.579724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 4)*(0 - 2*j + 0)*(2224 - 2224 - 181*j).\nAnswer: -362*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) 5 (b) 4\/7 (c) -2 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4540)\/(-11350))\/(((-436)\/690 - 0) + 2\/3).\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -22*y**2 - 6*y. Let u(f) = -65*f**2 - 17*f. Let o(b) = 17*c(b) - 6*u(b). Let q(n) = 2*n**2. Give o(q(m)).\nAnswer: 64*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n - 8. Let k be i(-10). Let r be 6 - ((-1 - 0) + k). Let v(z) = 2*z**3 - 6*z**2 - 2*z + 7. Is v(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352025 = -7*w + 351878 for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1322640 to the nearest integer?\nAnswer: 1150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -433348982 to the nearest 10000.\nAnswer: -433350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 61 and 8845?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.778 - 3.7779271. What is f rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 39 = 7*s. Suppose 0 = -0*n - n - 5, s*n - 5054 = -o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*r**2 - 4*r**2 + 9*r**3 - 3 - 18 - 2*r + 0*r**3 + 0*r**3 to t*r**2 + s*r**3 + i*r + p and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 845*p**3 - 4.\nAnswer: 845*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-45)\/6)\/1*(-30)\/9. Suppose 12*q - c + 25 = 0. Solve q = -t - t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 901 = 69*w - 86*w. Let i = w + 137. Let q = -8.9 - -9. Which is greater: i or q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6861.842 + -6862. What is the fourth biggest value in 0.4, c, 3, 1\/3, 0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a millennium in decades?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 189, 674, 1481, 2610, 4061, 5834?\nAnswer: 7929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 501175\/((-22)\/(-15 - 8785)). What is q rounded to the nearest 1000000?\nAnswer: 200000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/21*(84\/6)\/(-2). Let a be 21 - 21*g\/9. Solve 4*k + 4*s - a = s, 0 = -4*k - s + 18 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14300\/(-125400))\/((-26)\/8)?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**(1\/4)\/a)\/a)**(21\/2))**22)**21 assuming a is positive.\nAnswer: a**(-33957\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 50934 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: What is the closest to 2\/5 in -4, 0.2, 106, -507.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, -6, -2, 4, 2 in decreasing order.\nAnswer: 4, 2, -2, -6, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-3)*24\/16.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 8:00 AM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.47 - -333.47. Let s = 39426946 - 39427272.00193. Let b = i + s. Round b to four decimal places.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/4)\/((-9)\/(-12)). Suppose -5*y - 4 = -4*y. Suppose -2*m + 3*p = 3*m + 7, -2*m + 5*p = 18. Sort y, m, q in descending order.\nAnswer: m, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-1))\/(12\/(-6)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 1 + 1)*(15*z**3 - 7*z**3 + 9*z**3).\nAnswer: 34*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32439, 64867, 97297, 129729, 162163, 194599, 227037?\nAnswer: 259477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 552311 divided by -709?\nAnswer: -779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 17018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -132*r + 133. Let w(h) = 43*h. What is w(b(v))?\nAnswer: -5676*v + 5719","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1289515 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: 1141 * -0.7\nAnswer: -798.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.16 and 13684650.\nAnswer: -2189544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 1093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/27? (a) 5 (b) 11\/2 (c) -2 (d) -0.1 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -1433.51 in decreasing order.\nAnswer: -3, -5, -1433.51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**3 + 88 - 34 - 36 - 45.\nAnswer: 2*a**3 - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, k: 1, g: 3, m: 1, h: 4, d: 2}. What is prob of sequence gqd?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of 0 - 1\/2*v**2 + 1\/12*v**4 + 1\/3*v**3 + 23*v. Let i be r(-3). Solve -5*m + 5*z = -10, -3*z - i = -5*m + 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4879177?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 4:17 PM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**4 + 0*w**4 + 5*w**4)*(172 - 309 - 303).\nAnswer: -3080*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35243 is divided by 6969?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -14629, -14001, -12953, -11485?\n\"Answer: 210*j**2 - 2*j - 14837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -12076 at most 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (1 + -2)) + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - r = -16, 2*z - 27 = -2*r + 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.293891 rounded to 1 decimal place?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 34 in -635, -3.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 228763 and 15547.\nAnswer: 2221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 254 and 1243711?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19454708 by -679.\nAnswer: -28652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -3, -7\/97, 0.23, -18\/11?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (196\/315)\/7 - (-4)\/(-18)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**1\/((z*z**(-2\/7))\/z*z*z))\/((z*z**(-1))\/z*z)**(4\/29))\/((z**(-1))**35*z**4\/(z\/((z\/(z**(1\/5)\/z))\/z))) assuming z is positive.\nAnswer: z**(1067\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 13*i**3 - 1. Let k be f(1). Let j = -2315 + 2343. Let o = j + k. Is o a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 8358.72\nAnswer: -2507.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 - 25)\/(4 + (-10 - -7))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 218182, 218554, 218912, 219250, 219562, 219842?\n\"Answer: -r**3 - r**2 + 382*r + 217802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.49586353 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a centimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/9216 and 121\/80.\nAnswer: 46080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 1129*x**3 - 10*x + 5. Let m(r) = -880617*r**3 + 7798*r - 3899. Determine 3899*j(g) + 5*m(g).\nAnswer: -1114*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0247? (a) -2\/9 (b) 0.09 (c) 0.4 (d) -4 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.8 - 1. Let n = 45 - 47. What is the biggest value in s, -5, n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 604425 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -4023306 (b) 5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 2*k - 2170, 7*j - 6*j - 3*k = 451. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4*q. Let o(c) be the first derivative of -40*c**2 + 2*c - 915. What is o(i(h))?\nAnswer: 320*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1133201210 (base 4) to base 10.\nAnswer: -391268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1073583331 and 3.\nAnswer: 1073583334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of p**4\/4 - 41*p**3\/6 - 21*p**2\/2 - 19*p. What are the prime factors of j(17)?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12489? (a) 3\/2 (b) -1.2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 6*d**2 + 5*d. Let y be g(5). Suppose 0 = v + 2*h - 27, y*v + 3*h = 4*v - 75. Calculate the remainder when v is divided by 18*(-3 + 10\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o - 1. Let z(h) = 29*h + 22. Let v(m) = -6*q(m) - z(m). List the prime factors of v(-3).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 946, 3787, 8522, 15151, 23674?\n\"Answer: 947*t**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/2795 and 71\/5590?\nAnswer: 5590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2)\/i)\/i)\/(i\/(i**(-2\/7)\/i))*i\/i**(-8)*i**(-1\/12)*i assuming i is positive.\nAnswer: i**(305\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, g: 1, r: 1}. What is prob of sequence gv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -3013?\nAnswer: 3021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.57 + 0.2036.\nAnswer: -2.3664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 28 = j. Let g = 0 - j. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*l = 5*l - 70. Suppose 12*r = -4*o + 8*r + 24, -3 = 2*o - 3*r. Which is the second smallest value? (a) o (b) -0.26 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4154*c + 177. Is n(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 5*u**2 - u. Let b be r(-5). Let p(v) = 5*v + 72. Let y be p(-14). Suppose 0 = b*o + a - 71, 4*a - 21 = -y*o - 7. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*y - 3*y + y)*(-2548 + y**2 + 5279 - 2611) in the form a + n*y + i*y**2 + b*y**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.25*145952.\nAnswer: -912200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -17 - 2\/(4\/(-4)). Let w be 10\/s*6\/(-1). Suppose 0 = -w*d - 3 - 1, p - 67 = -3*d. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1*sqrt(1573) + 4 - (sqrt(1573) - (sqrt(1573) - (sqrt(1573) + sqrt(1573) + 0))*1)) - -1*(-2*-2*sqrt(1573) - sqrt(1573)*-2*2))**2.\nAnswer: 1320*sqrt(13) + 39469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/3 + 17494*m\/3 + 156960.\nAnswer: 2*(m + 27)*(m + 8720)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -984*d**2 + 15544*d + 3196. Determine w(16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*t**2 - 312*t + 613*t - 11*t**3 - t**4 - 301*t - 1 as p*t + i*t**2 + n*t**3 + b + f*t**4 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 9786*n - 3468*n + 12366*n - 32 + 32 in the form j + m*n and give m.\nAnswer: 18684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 4*v + 0*v)*(2*v**3 + v**3 - v**3) - 247*v**2 + v**3 + 247*v**2 - 3*v**4.\nAnswer: v**4 + v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 118297771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -72\/31 + 1331\/186. Find the common denominator of (0 - 1) + 62\/16 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2 + 3*c + 3. Let i be b(-2). Suppose -2*d - 45 = -5*s - 1, -4*s + i*d = -25. What is the lowest common multiple of s and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-707)\/(-63) - 7 - (-2)\/(-9). Let w be (-6)\/s*(-30)\/(-2376)*6. Is 0 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 15 = -2*u, 2*u + 1 + 2 = 3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 2) to base 5\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 10*m - 7*m. Let k be m\/(-2) + ((-325)\/(-10) - 5). What is the greatest common divisor of 26 and k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 25*r**4 + 4785*r*z + 25*z - 10309 wrt r?\nAnswer: 100*r**3 + 4785*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of 17*b**6\/280 + b**5\/2 + 59*b**4\/56 + 3*b**3\/7 + 6*b**2. Factor t(z).\nAnswer: 3*(z + 1)*(z + 3)*(17*z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -396 + 396. Let h(j) = -j**3 + 15*j**2 - 14*j + 8. Let f be h(14). Let w = f + -4. Solve 3*s = w*i + 16, 0 = -g*s + 2*s + i + 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**5\/5 - 8*x**4\/5 - 78*x**3\/5 + 428*x**2\/5 - 136*x + 336\/5 = 0?\nAnswer: -7, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22311\/4 + -5555. Find the common denominator of z and 57\/500.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3947987993 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11023457744 rounded to the nearest 1000000?\nAnswer: -11023000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l + 10 + 16 = b + 14*l, -2*l + 6 - 16 = -2*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r + 13. Let m(i) = 2*i + 1. Let x be m(4). Let f be w(x). Solve p + 3*p = f for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -2, 0.04, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -127922.2*-3\nAnswer: 383766.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + (-256 + 250 - (-13 - (-2 + 3))).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 2*p = -18, -252255*p - 53 = -2*b - 252250*p for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -277 (base 9) in base 3?\nAnswer: -22121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 17 + -cc3?\nAnswer: -caa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -7626, -3, 2, -4.\nAnswer: -7626, -4, -3, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -v - 56 - 22, 39 = 2*r - 5*v. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-891)\/27)\/33)\/(-1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-15)\/(-6) - -6*5\/(-60). Suppose -a*j = -2*l - 164, l - 410 = -5*j + 3*l. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + 3 + -4)*(-31)\/(-1364)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3102250 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/4 + 1\/(-6). Suppose 3*j = v + 1 + 2, 0 = 4*j + 5*v - 23. What is the closest to 1\/3 in j, b, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101010110010011 (base 2) to base 10.\nAnswer: 21907","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 530 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 264, 15, -1978 in ascending order.\nAnswer: -1978, 15, 264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1026410 divided by -205282?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o**2 - 6*o**2 + o**2)*(-2 + 1 - 1)*(-6 + 2 - 1) to d + w*o + n*o**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, h: 4, d: 1}. Give prob of sequence uuh.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.51 - 26.\nAnswer: -25.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 225*w**2 - 9398*w + 72. Give t(36).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14729781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (69\/46)\/(3\/4). Suppose -2*k = -0*v + g*v - 2, -4*v - k + 19 = 0. Suppose v*s = 327 + 123. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 + -4)\/(2\/8). Suppose -3*g + k*g = 0. Suppose g - 3 = h, 5*a = h + 148. List the prime factors of a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -81165560\/47 > -1726928?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.041 - 15\nAnswer: -14.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -40800 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 272 + -152 + -109 - (-79 + 1).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.17 + -1.63. Let j = f + 2.2. Which is the third smallest value? (a) -2\/5 (b) j (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 313444544 to the nearest integer?\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 3.3, -6, 22 in descending order.\nAnswer: 22, 3.3, 1\/2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -4*q + 3. Let o be 9\/(-6)*130\/(-15). Suppose -n + 4*n + i = 26, 0 = 4*n - 3*i - o. What is the remainder when n is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {y: 1, i: 6, v: 4}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 344*w - 175*w - 112*w**2 - 169*w - 126*w**2.\nAnswer: -238*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 10 = y, 0 = -2*y + y - 3*p + 6. Suppose 4*w - 4*i - y = -w, 4 = 5*w + 3*i. Is (254\/(-10))\/((-3)\/30*w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v - 1 + 1. Let j(k) be the third derivative of 19*k**4\/6 - k**3\/3 - 127*k**2. Determine a(j(g)).\nAnswer: 76*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of t**2\/2 + t + 7. Let l(q) be the third derivative of q**4\/3 + q**3\/2 + 2*q**2. Determine -l(x) + 5*r(x).\nAnswer: -3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.1564 + 0.2284. Let r = j - -9. What is r rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -99, -94, -77, -42, 17, 106, 231, 398?\n\"Answer: g**3 - 2*g - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**10*q**(-1\/5))**(1\/14) assuming q is positive.\nAnswer: q**(59\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7402, 29613, 66640, 118483, 185142, 266617, 362908?\n\"Answer: 7408*a**2 - 13*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.1 - 3. Let d be (-1)\/(-5) - 1330\/3400. Let z = d - 1\/17. Put z, -5, h in decreasing order.\nAnswer: h, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.94 rounded to one dp?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25852112 is divided by 3231511?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 8*d**2 + d - 2. Let n be b(-2). Let w = -27 + n. Calculate the remainder when 24 - (0 + w - 5) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4577672*a*y - 12368129*a + y wrt y.\nAnswer: 4577672*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97657, 196772, 295895, 395026?\nAnswer: 494165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -16, -13, -10?\n\"Answer: 3*q - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4075*q - 725048. Calculate j(178).\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*i**4 - 34579690*i**3 - 10514*i**2 - 185*i + 11 wrt i.\nAnswer: -264*i - 207478140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -3*y + 5*t, 4*t = 25770*y - 25765*y + 12 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -244 - -254. Solve -13*b = -u*b + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1921436779?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -219, -223, -231, -243, -259, -279?\n\"Answer: -2*g**2 + 2*g - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4862375896 - -0.3\nAnswer: -4862375895.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*w + 27*w = 12 + 102 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 - -24. Let d(i) be the second derivative of 0*i**3 - 4*i + 0*i**n + 1\/252*i**7 + 1\/120*i**5 + 0*i**2 - 1\/90*i**6 + 0. Factor d(l).\nAnswer: l**3*(l - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 12:18 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ijjsyth. What is prob of picking 1 h and 1 t?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + q + 21 = -2*y, -4*y = 2*q - 14. Suppose -27*n = -59*n + 1728. Solve -18 = y*i - 5*b - n, 12 = 2*i - b for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 107461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 647 + -592.8. Let r = -51 + o. Is r smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 - 11*k + 3. Let a be i(7). What is the greatest common factor of a and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 4*u**2 + 7*u + 4. Determine k(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11422 (base 8) to base 15.\nAnswer: 16a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8508)\/15*2\/8. Let z = 141 + i. Which is bigger: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 13289*i + 18 = -13286*i, -4*h + 2*i + 54 = 0 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 331*i*o - 8664*i*z - 4*o**3*z + 3*o**2*z wrt o.\nAnswer: 331*i - 12*o**2*z + 6*o*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 96.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + sqrt(1053)))**2 + 3.\nAnswer: 288*sqrt(13) + 16867","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h - 21. Suppose 564*j + 4405 - 4247 = -7174. Let k(u) = -u - 10. Calculate j*k(m) + 6*o(m).\nAnswer: -5*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/6)\/(16\/((-56)\/(-7)))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -1, -9.6, -0.5, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d + 202 + 583 = 452 for d.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -48*k**2 - 966*k + 4*k**4 - k**4 - 40*k**3 + 5*k**4 - 12*k**4 + 1254*k.\nAnswer: -4*k*(k - 2)*(k + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*m + 2*m**2 + 4*m)*(1374 - 80 + 4217 + 1003 + 2763) to t + x*m**2 + p*m and give x.\nAnswer: 18554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -12*g - 5. Let w(u) = -25*u**2. Give w(q(y)).\nAnswer: -3600*y**2 - 3000*y - 625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0*s - 4*s + 36 = 0, -5*s = 5*z - 60. Let c be (6\/12 - 0)*z. Is c > 45\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426 is divided by 89?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*1*(sqrt(11) + 0) + -1 + sqrt(66)\/(sqrt(12)\/sqrt(2)) + -3.\nAnswer: -4 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 976*a**2 - 50*a. Give d(1).\nAnswer: 926","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 78058899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4}. What is prob of sequence zzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 179\/6600 + 4\/275. Let w(c) be the first derivative of -1\/15*c**5 + 1\/18*c**3 + 0*c**2 + b*c**4 + 0*c - 14. Factor w(v).\nAnswer: -v**2*(v - 1)*(2*v + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 14*c**2 + 15*c - 21. Let y be f(13). Suppose -r = -y*h + 19, h + 4*r - 5 = 3*r. Calculate the remainder when (-87)\/(-9) - 4\/6 is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 282, 3, -4\/5, -0.2, 3383 in ascending order.\nAnswer: -4\/5, -0.2, 3, 4, 282, 3383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29028951 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/203022 and -71\/30.\nAnswer: 1015110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**2*f**2 - a**2 + 3*f**4 + 77*f wrt f.\nAnswer: 4*a**2 + 36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 461317883 equal to 461317883?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(108) + -4 + sqrt(108))**2*6 - ((1 + sqrt(147))*2 + 4).\nAnswer: 274*sqrt(3) + 738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -23455, 33\/4, -0.4.\nAnswer: -23455, -0.4, 2, 33\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + sqrt(1900)*-3)**2 - (4 + (sqrt(19) + -1)**2 + sqrt(19)).\nAnswer: sqrt(19) + 7576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + 17*j - 986. Suppose 4*x + 27 = 3*o, 5*o - 13 = -5*x + x. Let g = j - o. Is 15 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(84))\/(-2*sqrt(147)).\nAnswer: 4*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.02779 - -0.87221. What is the third biggest value in -7, f, -0.02, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23425 - -23415.499. What is b rounded to 0 decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 15*f**2 + 14*f. Let j be m(-14). Suppose -5*y - 3*z + 40 = j, y = -0*y - z + 10. Solve -1 = y*p + 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22979511, 22979507, 22979501, 22979493?\nAnswer: 22979483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -72, 5 in decreasing order.\nAnswer: 5, 3, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**1\/(b*b**5)*(b\/(b\/b**(-3\/2))*b)\/b**6*(b**(-1))**(-11\/5)\/(b*b**0*b**(2\/5)) assuming b is positive.\nAnswer: b**(-107\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(0 + 2 - 1)*(0*x**4 + 5*x**5 + 0*x**4 + (4*x + x**2 - 4*x)*(x**3 - 3*x**3 + 3*x**3) - x + 7*x**5 + x) + 19*x**5 - 16*x**5 - 4*x + 7*x.\nAnswer: 29*x**5 + 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 + 21 = -g + 2*t, -g - 3*t = -31. Suppose 3*s - s = 114. Calculate the greatest common factor of s and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17107 - -26609. List the prime factors of n.\nAnswer: 2, 4751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*p**2 + 100*p**2 - 344*p**2.\nAnswer: -289*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201102102111 + 11?\nAnswer: 201102102122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 103165 and 39874370.\nAnswer: 2195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -54*j + 58*j. Let t be (j - 18)*2\/(-4). Suppose t*i + 12 + 0 = 0. What is the biggest value in i, -1\/6, -5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.7 + 2. Let r = j - -1.1. Let n be (-3700)\/(-148) - (2 - -23). Which is the closest to n? (a) -5 (b) -3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 95 + 77. Solve -x*j - 17 + 62 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 701 + -695. Let z(y) = 3*y**2 - 14*y + 6. Let o be z(j). Solve 0 = 5*g - 5*u + o, -u - 6 = -5*g - 20 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 9:45 AM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2*b - 3 - 23 = 0, 4*b = 5*z - 13. Solve -z*u + 2*l = -30, -4 = 2*l + 6 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5 + 4)*(3*h**5 - 5 + 5) + (-2*h**4 + 3*h**4 - 2*h**4)*(-h - 2 + 2)*(3 - 3 + 2).\nAnswer: -7*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4*5\/(-40))\/((-2)\/(-20)). Let f be 2 - 4 - i\/((-5)\/7). Calculate the highest common divisor of f and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 481, 435, 283, 25?\n\"Answer: -53*c**2 + 113*c + 421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, m: 4, q: 2, z: 2, l: 4, s: 2}. Give prob of sequence qm.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*y**2 - 6 + 8*y + 4 - 29*y**2 - 24*y**2 in the form u + d*y + a*y**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63124 is divided by 15656.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 348 and 464.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1951, 3342, 4735, 6130, 7527?\nAnswer: 8926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*f - 3*i, -5*i = 3*f + 5 + 7. Let t(n) = -7*n + 1. Let r be t(-1). Let u be (r\/(-6))\/(6\/18). Sort -1, u, f.\nAnswer: u, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0105867896 to five dps.\nAnswer: 0.01059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 84925057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*-224.\nAnswer: -1568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.3 - 1. Let a = -0.1 - -0.1. Suppose -5 = -2*m - 15, -2*z - m = 11. Put d, a, z in descending order.\nAnswer: d, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 2\/23 in decreasing order.\nAnswer: 5, 2\/23, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yonr when four letters picked without replacement from {o: 4, n: 1, r: 2, j: 6, y: 1, l: 1}.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.505749 rounded to 0 dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -509 + 167. What is the remainder when r is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -192869.1 times -0.3?\nAnswer: 57860.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101010110101111 (base 2) in base 4?\nAnswer: 31112233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 0 + 7\/2*l**2 + 9*l - 1\/3*l**3. Let a(w) = -w + 3. Give 5*a(h) - 2*g(h).\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/40 and -71\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -7*p + 2*p. Suppose -5*b + p = -10*b. What is the second smallest value in 2\/7, 0.1, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 66, 203, 338, 471?\n\"Answer: -c**2 + 140*c - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**2*x**4 + b**2 + 2*b*x - 5*x**6 + x**4 - 4*x**2 wrt x?\nAnswer: 24*b**2*x - 600*x**3 + 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttjtcvccttoovtjtwtc. Give prob of sequence tttv.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 2121383\nAnswer: -636414.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2614810683 and -0.92?\nAnswer: 2614810683.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -563930*p - 2255704. Give d(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -1.5. Let d = 52.7 - 53. Which is the third biggest value? (a) 1 (b) d (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r. Let i be 1*6 + ((-8)\/2 - -4). Let q(u) = -12 + 10*u - 23 - 3*u. Let z(x) = -x + 6. Let o(d) = i*q(d) + 35*z(d). What is k(o(c))?\nAnswer: -28*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of 731*s**4\/4 - 282*s**3 - 587. What is the third derivative of q(h) wrt h?\nAnswer: 4386","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 3*j - 266. What is t(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4*j**3 + 62*j**2 + 9398*j + 14. Give i(-41).\nAnswer: -5398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 9:24 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k**2 - 25*k + 14. Calculate b(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 91 - 40. Let f be (13 + -6013)*(0 + b). Round f to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69, 45, 23, 3, -15, -31?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h + 5*h + 4*h + (0 + 10 - 7)*(-5*h + 3*h + 0*h) + (-2 + 1 + 6)*(-4 + 4 - h) - 2 + 2 - 3*h to the form z + w*h and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46279.\nAnswer: 46279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15110268 (base 9) to base 6.\nAnswer: 424514012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39 - -11) + (-129 - -145)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57045623 to the nearest integer?\nAnswer: 7553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000005328 rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 + 60 + -7 + 44.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -498\/5 + 100. Let a be (2\/3)\/(92\/(-12) + 0). What is the fourth smallest value in c, a, -0.4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 185 - 182. Let o(q) be the second derivative of 0 - 1\/5*q**2 + 4*q + 1\/5*q**l - 1\/15*q**4. Factor o(n).\nAnswer: -2*(n - 1)*(2*n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -15*y + 7\/6*y**4 + 0*y**2 + 0 - 1\/6*y**3. What is the second derivative of r(b) wrt b?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 243.7 + -228. Let d = 16 - u. Let n = 12\/5 + -9\/10. Put n, d, -5\/6 in decreasing order.\nAnswer: n, d, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {x: 1, e: 7, m: 2}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/56283 and 54\/1799.\nAnswer: 393981","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 59db6 (base 14) to base 15\nAnswer: 45074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + 3\/((-3)\/(-2)). Suppose 0 = w - s - 0 - 1, 9 = l*w - 3*s. Solve 2*k - 2*q - 2 = 0, w*k = -2*q - q + 9 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 207*b**2 + 420*b - 211. Give i(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(-4394*g + 1524*g + 1541*g + 1535*g).\nAnswer: 206*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, -1, -67, 2, 23 in descending order.\nAnswer: 23, 2, -1, -36, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-1) - 5\/(-16)*2.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 8*y + 5*a + 1, -y + 5*a + 22 = 0. Solve 13 = 5*g - y for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four ninths of a week in minutes?\nAnswer: 38080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 159 and 0.4.\nAnswer: 159.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-15 - (3 - 14))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2*sqrt(448))**2*-5 + -1 - ((2*sqrt(448)*-6 + (sqrt(448) + 1)*2)*5)**2.\nAnswer: -1129060 + 8000*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 2\/6153, 2\/51, 0.08?\nAnswer: 2\/6153","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236*a + 282*a - 859*a + 292*a.\nAnswer: -49*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*y + 9130 = -51*y. Let r(o) = 348*o + 345*o - y*o. Let u(a) = 3*a**2. Determine r(u(s)).\nAnswer: -411*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2258*h. Let f(l) = 918*l**2. Determine p(f(u)).\nAnswer: 2072844*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (1 - (11 - 1)) + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125417.1 weeks to days.\nAnswer: 877919.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87758567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -42*f**4 + 222 wrt f.\nAnswer: -168*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) 3.311 (c) -7 (d) 1 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*j + 16 + 14 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1519, 4618, 7715, 10810, 13903, 16994?\n\"Answer: -f**2 + 3102*f - 1582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 2*n - 1. Let g be s(3). Let a = 8 + g. Determine z so that 0*z**3 + 8*z**3 + z**a - 2*z**2 - 8*z**3 + 1 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79 divided by -2.\nAnswer: -79\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 401941373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-1 - 1 - (-4 - -4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/(4*(sqrt(12) + sqrt(72)\/sqrt(6)) - sqrt(12)).\nAnswer: sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fifty-seven fifths of a micrometer?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33658\/15 + 11221\/5. Factor r + 2\/9*d - 1\/9*d**2.\nAnswer: -(d - 3)*(d + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 333b?\nAnswer: 333c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -136*k*n**3*w + 13*k*n*w - 2*k - 36*n**3 - 4*n**2 + 7*n wrt w?\nAnswer: -136*k*n**3 + 13*k*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99 and 2871?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 l when two letters picked without replacement from lhhuhuuqulh.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven halves of a gram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 181 - 258. Let h = v - -73. Put 2, 2\/5, h in descending order.\nAnswer: 2, 2\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33283631 to the nearest integer?\nAnswer: 5769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(3) - sqrt(9)\/sqrt(3)) - (sqrt(3) - (sqrt(3) + sqrt(3)*-1 + 1)))**2 - 1*((sqrt(3)*1)**2 + 3).\nAnswer: -2*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -28485 times 0.582\nAnswer: -16578.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 2944?\nAnswer: 14720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 0. Let d = p + -13. Let w be 2\/(-3)*3*d. Solve -5*n + w = -0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4684318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 112\/9 + -124\/9. Which is the smallest value? (a) -2 (b) 0.12 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/158 and -4\/11.\nAnswer: 1738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3\/7, 1\/20, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*b + 1285010 = 646842 - 2683552. List the prime factors of b.\nAnswer: 3, 9227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 938.353s to nanoseconds.\nAnswer: 938353000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46500*o**4 - 105*o**3 - 9*o + 5545579 wrt o.\nAnswer: -558000*o**2 - 630*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 250\/9 (b) 0.4 (c) 308 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -4*j**3 + 5*j**2. Suppose -51 - 15 = -11*c. Let o(r) = 5*r**3 - 6*r**2. Give c*k(t) + 5*o(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of o**4\/12 - o**2 + 2*o. Let m be x(-3). Let p(v) = -v + 9. Determine p(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.3 (b) -5 (c) -0.5 (d) -4\/143\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*k + 19 + 2. Let y = -4 + 5. Let q = -1 + y. What is the second biggest value in k, q, -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.54 and -10133?\nAnswer: 5471.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 607778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r - 7. Let p(w) = -w**2 - 13. Let s(g) = -g**2. Let x be s(0). Let i be p(x). Let d(c) = 11*c - 15. Let f(v) = i*n(v) + 6*d(v). What is f(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-15)\/10*6*(-12)\/18.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/23? (a) -4209 (b) -4 (c) -0.3 (d) 3 (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 39 = 5*i + 44, -12*g = -18*g + 8*g - 4*i - 72 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-4) + (-66)\/12. What is the tens digit of 82*(4 + 12\/l) - 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -629, -2564, -5791, -10310, -16121, -23224?\nAnswer: -31619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 211 (b) -0.4 (c) 1 (d) -0.1 (e) -8 (f) 27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**4 - 6974*c**3\/5 - 1234548*c**2\/5 - 6478504*c\/5 - 478864 = 0. What is c?\nAnswer: -346, -5, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20770 is divided by 2077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + k = 21. Let o(d) = -d**3 + 20*d**2 + 20*d + 26. Let t be o(k). Let f(m) = -m**2 + 7*m + 1. Calculate f(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4620 and 297?\nAnswer: 41580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/4 (b) 2\/7 (c) 42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 970727 + -656916. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, o: 3, h: 1, s: 1, j: 1}. What is prob of sequence kjo?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-3))\/((3520\/(-132))\/(-40)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4*o**2 - 4*o + 2. Suppose -2*z = 6, -46*l + 42*l = -z - 11. Give a(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90 by -201.\nAnswer: 30\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(133) - (sqrt(133) + -2*sqrt(133) - sqrt(133))) + sqrt(133))*2)\/(sqrt(252) + (sqrt(252) - sqrt(252)*-3) + sqrt(252) + sqrt(7)))**2.\nAnswer: 1216\/1369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110000100011110000 - 10?\nAnswer: 110110000100011101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 4*t + 35. What is the remainder when p(-8) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -129, -3 in descending order.\nAnswer: 3, 1, -3, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 25\/3, -0.41?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -17*h + 249. Is o(-16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11187418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - s - 4*b + 28 = 0, -3*b + 55 = 5*s. Let x(u) = u**3 - 9*u**2 + 9*u - 5. Let y be x(s). Solve -3*q - y*k = -0*k, -5*k - 9 = -4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18129326\/18 + (-8 - 50\/18 - -11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13384 - 13340. Put q, 2, 5, -79 in decreasing order.\nAnswer: q, 5, 2, -79","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 5*q**3 + 7 + 20 + 3*q**3.\nAnswer: -2*q**3 + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 - 77 = 12*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21.28 or -96?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/2 - 17101*w - 292444201\/2.\nAnswer: -(w + 17101)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -2971 (c) -2\/7 (d) 256\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 74617201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 2*d - 5, o + 17*d + 18 = 14*d. Factor 2\/15*g**o + 0*g + 0 + 2\/5*g**2.\nAnswer: 2*g**2*(g + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.63 + -10.37. What is the third biggest value in w, -0.3, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**8\/m*m)*m\/(m**(-1\/6)*m))\/((m\/(m*m\/m**(2\/17))*m)\/(m\/(m*m\/(m\/(m**(-2)*m))*m))) assuming m is positive.\nAnswer: m**(-709\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -351263.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -166334 divided by -3?\nAnswer: 166334\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 53*p = -2*d - 209, 149*p - 148*p + 4 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q - 12. Let r be u(-12). Suppose -f = -r*f + 1. What is the remainder when 71\/(-2 - (f + -2)) is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -112.\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 z when four letters picked without replacement from kzkfgkzzkkkf?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -2*f**5\/5 - 25*f**4 - 914*f**2 - 1730. What is the second derivative of h(d) wrt d?\nAnswer: -24*d**2 - 600*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 83572607 to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n + 2. Let z be x(-4). Let r = 132059 + -132060. What is the second smallest value in z, r, -4, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 565, 2, 36 in decreasing order.\nAnswer: 565, 36, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 60 - 40. Suppose p = f + 27. What is the second derivative of -p*d - 8*d**4 + 56*d + d**4 wrt d?\nAnswer: -84*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*h - 15*h - 39*h + 4989202. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 4*x + 89 - 9, 4*x = 5*i - 144. What is the lowest common multiple of 44 and i?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 4*o + 50, 3*o + 5199*c + 36 = 5197*c for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272401 = q - 4*h, 5*h + 948329 = 5*q - 413676. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q - q**3 - q + (-1 + 4 - 2)*(-8*q**2 + 8*q**2 + 11*q**3) to the form m*q**2 + h*q + r + f*q**3 and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -4*l**4\/3 - 3*l**2 - 15*l + 8. Let p(i) be the first derivative of d(i). Differentiate p(w) wrt w.\nAnswer: -32*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30 + -62.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/4)\/(3\/(-48)). Suppose 3*a - 4*k = 12, -5*k = -2*a + 5*a - q. Suppose -y = a*y - 15. Solve -y*z = -2*z - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2050073\/44 - 46591. Let s be (1 + 5413)*(-2)\/8. Let t = s + 1310. Find the common denominator of t and b.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -65, 215, 799, 1687, 2879?\n\"Answer: 152*r**2 - 176*r - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/249216 and -91\/3776.\nAnswer: 249216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 5*i + 18. Let p = i + 11. Suppose 9 - 3 = 5*o - w, 5*w + p = 0. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18957*m**2*w**4 - 4125*m**2 - 4135*m*w**4 + m - 1228 wrt w.\nAnswer: 75828*m**2*w**3 - 16540*m*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 6*h**2 + 8*h + 7. Let l be j(-7). Let t = 866\/7 - 124. Sort 4, l, t.\nAnswer: t, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 90 by 4.\nAnswer: 45\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5648361 to the power of 1\/2, to the nearest integer?\nAnswer: 2377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**4)**(-24) assuming k is positive.\nAnswer: k**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37*c*y**6 - 250*c*y**4 - c*y**3 - 98*c + 103*y**2 wrt y?\nAnswer: 4440*c*y**3 - 6000*c*y - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96, 187, 274, 357, 436, 511, 582?\nAnswer: 649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0*b = 3. Suppose r = -b*c + 40 - 16, 5*c - 40 = 4*r. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0011684 rounded to five decimal places?\nAnswer: 0.00117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 5:35 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/13630 and -26\/6815.\nAnswer: 13630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2904, 2903, 2902?\nAnswer: 2901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + -1 + -1 - ((151 - 45) + -16).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 451.58 + -457. Let t = -6.6 - y. Let a = t - -1.7. What is a rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.5 and 76754.8?\nAnswer: 191887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7686 - -89.3.\nAnswer: -7596.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13193013582 - 3*g + 3*g - 264*g**2 - 13193013582.\nAnswer: -264*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 10 (c) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, f: 2, t: 1, x: 1}. What is prob of sequence txz?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-21)*(-192)\/(-1280)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -5897*b + 82202. Calculate l(14).\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 33072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -3*q**8\/28 + q**6\/15 - 247*q**4\/12 + 173*q. Find the third derivative of z(h) wrt h.\nAnswer: -720*h**3 + 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-414))\/(83\/((-28386)\/(-76)))\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 - -48. Let w = -26.28 + x. Let u = 0.58 + w. Sort 0.2, 2\/3, u in ascending order.\nAnswer: 0.2, u, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 64 + 418 = 0. Suppose -d - 125 = x. Find the common denominator of 57\/16 and (-4 - -6) + d\/48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 106.2 + -106.199999067. Round o to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 18*k**2 + 5. What are the prime factors of i(2)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(243) + -3 + sqrt(243) + 0 + 4 - ((sqrt(243) - 4*sqrt(243))*5 + 1)))**2.\nAnswer: 632043","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10493 + -10350. Which is greater: s or 1\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + 2 = 27*r - 208 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/3 - 13388*w**2\/3 - 13385*w\/3 + 26774\/3.\nAnswer: -(w - 1)*(w + 2)*(w + 13387)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*(-8)\/(-6) + (-45)\/(-3). Let l(y) = y + 4. Let u be l(0). Suppose -2*x + u = -6. Solve -x*d + w = -4 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2 + (-2 + sqrt(28))**2 - (sqrt(49)\/(sqrt(63) - sqrt(7)) - (sqrt(112)*1)**2)*-4.\nAnswer: -413 - 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 6*d = -162. Let c = d - -201. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 3:23 AM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*c**2 - 142698*c - 17618500.\nAnswer: -2*(c + 125)*(7*c + 70474)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 88919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -8*p**3 - 5*p**2 - 26*p + 22. Let m(z) = -5*z**3 - 2*z**2 - 14*z + 11. Let s(b) = -3*k(b) + 5*m(b). What is s(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*m = 6*x - 560, 0 = x - 4*m - 164. Suppose -x = 2*d + 3*d. Calculate the common denominator of (2 + -8)\/d + (-4)\/(-2) and -45\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 7*j**3 + 7*j**2 + 13*j + 15. Let q(d) = 3*d**3 + 3*d**2 + 6*d + 7. Suppose -20*x = -22*x - 26. Give x*q(c) + 6*l(c).\nAnswer: 3*c**3 + 3*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -1\/3*p**3 + 3*p - 1\/2*p**2 + 3. What is y(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -779*u - 436*u - 484*u + 566*u.\nAnswer: -1133*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 5 - 20 = -3*t, q - 10 = -2*t. Suppose 4*p - 58 - 38 = q. Calculate the greatest common divisor of p and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5025707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2047651 is divided by 55340?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 - 1\/(-2))\/((-26)\/(-4472))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 - 12 + r**2 + 6 - 14 + 20*r - 9*r**2 to the form f + a*r**2 + u*r and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -44689 less than -4459?\nAnswer: 40230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.999785 - -7. Round x to five dps.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**11*r)**(-14)\/(r**(2\/15)\/r**(-10\/9)))**(6\/23) assuming r is positive.\nAnswer: r**(-15232\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 294 by 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 294.56? (a) -333 (b) 2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 3. Calculate the least common multiple of 4\/(5 + (-27)\/6) and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -219 (b) -2 (c) 0.4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1071 + 1071 + 26*j**2 - 15*j**4 - 2*j as r*j**2 + c + h*j**3 + o*j + b*j**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from brrrrbrbrr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 5*k - 20*l + 22*l, 5*k + l = 7 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s**3 + 546*s**2 - 551*s - 449. What is u(-183)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 14, -0.2834, 8, -0.19?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -8*m + 9*m. Let c be ((-24)\/40)\/(m\/5). Solve c*o = 2*o + 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 22*x + 54. Give a(-24).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3 - 98*h**2.\nAnswer: 2*h**2*(h - 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -911 - -1288. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*z**4 + z**2 + 3*z**4 - 2*z**2 - 4*z + 21*z**4 in the form m*z + t + k*z**2 + c*z**3 + i*z**4 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(2541)*4)\/(sqrt(243)*3*-2 + sqrt(243) + sqrt(243)).\nAnswer: 11*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3200*x - 706*x**2 + 707*x**2 + 2019*x - 7297*x - 3216*x in the form v + k*x + q*x**2 and give k.\nAnswer: -11694","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -95573 + -7?\nAnswer: -95580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4.7647953 seconds?\nAnswer: 0.00132355425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61618765 is divided by 136?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-47 - 276\/(-23)) + 16.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 b when two letters picked without replacement from {n: 1, y: 1, p: 2, b: 4, e: 1}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/57, -0.1, 0.1, -0.14, 0.2?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -22, -69, -152, -283?\nAnswer: -474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -11496*o - 45982. Determine b(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 o, and 1 t when three letters picked without replacement from rtrqtrrtrvoqqr.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 189.7 + -179.46. Is y != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/12 - (30\/(-255) + (-215)\/340)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m + 2 - 2*m - 2*m + 0*m - 3*m + 0*m + 8*m - 3*m - m + (-2 + 3 + 1)*(0*m - m + 2*m) + 5*m - 4*m + 0*m + 0 + 0 - 2*m + m + 3*m - m.\nAnswer: 4*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 339\/12 + (-207)\/(-36)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - -17. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1144 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: Is 492961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/12 and -21\/191.\nAnswer: 2292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2509687?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -94*q**3 + 3*q**2 + q - 11. Let z(l) = 95*l**3 - 2*l**2 - 2*l + 10. Let g be 4\/(-6) - 120\/(-18). Let v(n) = g*z(n) + 5*c(n). Is v(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 0.4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 138*x + 7566. Give n(-55).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3*d + 40 = -369, -3*l - 5*d + 239 = 0. Let z = -83 + l. Solve -4*k = z, 5*j + 23 = 3*k - 2 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 5*f - 60, 4*f - o = o + 30. Let w(x) = 2*x - 14. Is w(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-2\/7)*f*f*f)*f)**11\/((f\/(f\/f**(2\/7)))\/(f\/(f*f*f*f\/(f\/f**4)*f)))*(f**4\/f**(-4))\/(f*f**(-1))**(-2\/9) assuming f is positive.\nAnswer: f**(-50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -11. Calculate the common denominator of (8 + -9)\/(11\/43) and (q\/(-10))\/((-16)\/(-670)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**2*m**3 - 2*f**2*m*p**3 - 70*f**2*p**3 - 2*f*m**3*p**3 - 5542*m**3*p - 4*m**2*p**3 - 26*m**2 wrt m.\nAnswer: -12*f**2 - 12*f*p**3 - 33252*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 35\/1 - 1*-2. Suppose -4*k + 31 = -r. What is the greatest common factor of k and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3864 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of r**3\/3 + 1. Let z be (6 + (-66)\/10)*(-10)\/2. Calculate q(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jggjff. Give prob of picking 2 f and 1 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2*((-91)\/(-39))\/((-6)\/(-9))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12001 - -21?\nAnswer: -11210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -37*i**4\/24 + 74*i**3\/3 + 3180*i**2 - 1. What is r(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -2\/10317 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 7, 19 in descending order.\nAnswer: 19, 7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/((-15)\/(-200))*-1. Let t = 52 - c. Suppose -t*n + 126 = -5*n. Calculate the remainder when n is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -61*c + 1. Let h be r(-1). Let z be h\/(-8) + (-4)\/16. Let x = 25 + z. What is the remainder when 50 is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-66 - -192 - 105) + -7 + -67\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*x**2 + 49*x**2 - 18*x**2 + 0 + 1 + 2*x**2 + 7*x**2.\nAnswer: 93*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d**3 + d + 1. Let g be j(-1). Solve -g*u = -3*t - 28, t + 11 = 3*u - 5 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**33*d*d\/(d**23*d) assuming d is positive.\nAnswer: d**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 8:32 AM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v**3 - 22*v**2 - 78*v. What is the remainder when o(-3) is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 5*b + 5*l - 32, -4*b - 4*l + 32 = 0. Suppose 8 = 3*v + 2. What is the highest common divisor of v and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 9*x**2 - x + 1. What is the units digit of v(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f**3 - 12*f**2 + 23*f + 2. Let u(q) = q**3 - 6*q**2 + 12*q + 2. Let a(v) = 3*h(v) - 5*u(v). Let o be a(5). What is o rounded to the nearest 10?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 9, x: 7}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -1842847, 5, 4 in ascending order.\nAnswer: -1842847, -3, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**5 + 5*s**4\/2 + 62*s**3 - 319*s**2\/2 + 128*s - 32 = 0. What is s?\nAnswer: -8, 1\/2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 8*i**2 + 6*i + 8. Suppose -61*u + 244 = 90*u - 1266. Calculate the smallest common multiple of l(7) and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 11. Suppose 0 = -5*j - n + 4*n + 190, c*n = 2*j - 85. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 95\/6, 23, -0.5, 2\/11, 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 3*u - 9 + 7, -2*u = 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yl when two letters picked without replacement from {j: 4, y: 3, l: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(38)\/sqrt(2))**2 + -5).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 72482450 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 320 and 720?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) -0.4 (c) -272 (d) 0.11 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*m + 2 + 18*m - 7*m)*(m**3 + 2*m**3 - 2*m**3).\nAnswer: -3*m**4 + 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 4*n - 3 - 2, -3*z = -2*n - 25. Suppose -6 = 7*p - 8*p. Sort p, 2, 1, z in descending order.\nAnswer: p, z, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1754 + 3258. Suppose k + y - 765 = -3*y, 2*k - 5*y = m. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 97.60052+-10050\nAnswer: -9952.39948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 259.9822 rounded to the nearest 10?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2037*o + 10292. Calculate n(5).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Round -307920 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 35668381 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83982 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 279466516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hgg when three letters picked without replacement from {h: 5, z: 1, g: 5, n: 2, r: 3}.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -2*d**6\/15 + d**5\/10 - 3*d**2. What is the third derivative of w(i) wrt i?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -5, -3, 0.6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**3 + 3*m**3 + 2*m**3)*(0*m - 4*m + 3*m).\nAnswer: -8*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 32*c - 55. Determine o(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 54063995*a - 24029549 wrt a?\nAnswer: 54063995","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1108 - 459. Suppose d + z = 5*q, -5*d - 259 = -2*q - 4*d. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*c - 27*c + 27 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7689423?\nAnswer: 3, 7, 17, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*j**3*t**2 - j**3 - 21*j**2 - 7*t**4 wrt t?\nAnswer: -12*j**3*t - 28*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 18*c + 23. Let q = -24 + 67. Let l = -62 + q. Calculate the least common multiple of p(l) and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**4 + 27219*r**3\/2 - 40851*r**2\/2 - 20418*r + 13614 = 0. Calculate r.\nAnswer: -4538, -1, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-23)\/(-7) - (-4)\/(-14). Solve 2*s - 2*x + 3*x + 15 = 0, -25 = p*s + 2*x for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10357884 and 288.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 71251822 to the power of 1\/2, to the nearest integer?\nAnswer: 8441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -11. Let c be (18\/7)\/(-3) - ((-500)\/(-60) + (-10803)\/819). What is the third biggest value in -2, r, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(38 + -2))\/((-17)\/9843) + (-26)\/(-39)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4*y - 185, -3*v - 5*y + 3*y + 173 = 0. Is 6 a factor of (-3)\/(-15) + v\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 6:28 PM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*d*t*u**5 - 2*d*t + 9*t*u**3 - 13*t*u**2 - t wrt u.\nAnswer: -960*d*t*u**2 + 54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.295 and 65.5.\nAnswer: -19.3225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.20091638 rounded to 5 dps?\nAnswer: -0.20092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/(-5)*((-1960)\/147)\/(-40).\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 53 (b) -7 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 4*h + 118151 = -4*u, -5*h + 118148 = u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 64 + (-1)\/(-1) + 0 + -1. Calculate the greatest common divisor of c and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25642 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 + 25*q + 11 + 8 to the form y + l*q and give l.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1775\/105 + -18 + 11 - 10.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42636 = 58*c + 10*c. Is 57 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x**2. Let w(l) be the second derivative of -l**2\/2 + 18*l. Suppose -4*y = -6*y + 2. What is y*u(n) - 2*w(n)?\nAnswer: -3*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -81675.25 rounded to the nearest 10?\nAnswer: -81680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -938681700 to the nearest 1000000.\nAnswer: -939000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 179 - 176. Solve 0*m - 3*m + p = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**3*j*j)\/j*j)\/(j*j**2))**(-19)*(j**(2\/5)*j*j*j*j**(1\/8))**48 assuming j is positive.\nAnswer: j**(561\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -7*u - 11. Let y(m) = 3*m + 40. Let a(b) = 2*b + 19. Let c(z) = 7*a(z) - 3*y(z). Let t be c(0). Let f(w) = 15*w + 23. Give t*h(k) + 6*f(k).\nAnswer: -k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17884552 a multiple of 1652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 2:00 PM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 - 31. Suppose 4*p = -4, -4*w + p + 4 - 7 = i. What is the third smallest value in -5, -0.5, 1, w?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o + 2*d + 5 = 4*o + 3, 0 = 7*d - d - 0 + 6 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 144 + 0. Let r = 31 + -56. Let i = -9 - r. What is the highest common factor of i and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 759\/(-6))\/(6\/(-12)). Let g = q - 33. Let o = -28 - -50. What is the highest common factor of o and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*i + 8*s = 114*i + 9*s - 177, 3*i + 12*s = 189 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -11*q**4 + 5*q**2 - 57. Let i(o) = 10*o**4 - 4*o**2 + 56. Let y(d) = -4*i(d) - 3*p(d). What is the derivative of y(k) wrt k?\nAnswer: -28*k**3 + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -9*k - 8. Let f be k + 3 - (-5 - -2). Find the second derivative of f + 2*u**5 + 11*u - 5*u**5 - 5 wrt u.\nAnswer: -60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.47 or 9145168?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*t**3 + 149*t*w**3 + 27*w**3 wrt t.\nAnswer: -6*t**2 + 149*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.53 (b) -5\/11 (c) 22553\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-3) - 188\/(-3). Let n be -2*(-1065)\/36 - -3. Let m = f - n. Is -1 at least as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 107\/3 - 35. Let k be ((-2)\/(-5))\/((-1)\/(-5)). Let 0 + 0*t**k + 0*t**4 - 1\/3*t - 1\/3*t**5 + i*t**3 = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 3*x = -3. Suppose 2*b + 16 = -5*z, -7*z + 3*b - x = -2*z. Let y be z\/(-7) - 12\/42. Solve -2*r - 3*r - 10 = y for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**2 + 1632*w + 8060 = 0. Calculate w.\nAnswer: -403, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -a**2\/2 - a + 3. Let l be p(-5). Suppose 2*r + 1180 = 5*n - r, 5*r = l*n - 931. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 712 and 1151660.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15220)\/220 - -69) + 16*4\/(-11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56 - 71 + 2*f**3 - 87 + 45)*(2*f**2 + f**2 - f**2).\nAnswer: 4*f**5 - 338*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -82, -74, -74, -94, -146, -242, -394, -614?\n\"Answer: -2*b**3 + 8*b**2 - 2*b - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*y - 795 = 54*y for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 + 40 - 2*p - 78.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*k + 123*k - 27*k - 24*k.\nAnswer: 22*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, x: 2, h: 1, w: 1, j: 1}. What is prob of picking 2 x?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11506*n - 9*p - 33 = -11509*n, 0 = n + 4*p + 24 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 756 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -359481 by 2.\nAnswer: -359481\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -206, -764, -1690, -2978, -4622, -6616, -8954, -11630?\n\"Answer: j**3 - 190*j**2 + 5*j - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 841089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 6*c**2 - 2*c - 7. Let a be h(-6). Suppose -l + a*l = 12. Let n be 15*(-2)\/5*-2. Solve y = l*y + 5*r - n, -3*r + 5 = -y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-21)*2*(-13)\/4\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (16\/(-12))\/((-2)\/3). Find the second derivative of 3*x**3 + 3*x - 4*x - u*x**3 wrt x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -94.786?\nAnswer: -37.9144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14696645?\nAnswer: 5, 71, 41399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 801, 742, 643, 504, 325, 106?\n\"Answer: -20*a**2 + a + 820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -2 - 4. Is (8\/h)\/((-1)\/(-6)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3872 + -2762. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-46 + 47)*(416\/2 - 1). What is the highest common factor of k and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 244243644 - -1?\nAnswer: 244243645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45816 is divided by 58.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 20 = -9*a. Suppose -i - 2 = 3*u, 2*i - a = i + u. Does 7 = i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (118938\/1505 + -79)\/(4\/(-30)).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.1? (a) -4 (b) -3\/2 (c) -28 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106, -238, -344, -412, -430, -386, -268, -64?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwtxjgt. Give prob of sequence xt.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -262, -12, 1\/92 in ascending order.\nAnswer: -262, -12, 1\/92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -d**4\/24 + 3*d**3 + 2*d**2. Let f be g(13). What is the first derivative of -5*n - 3*n - 3 + 2 + f wrt n?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/12*-1)\/(6*(-5)\/160)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b. Let d(r) = 17*r. Let c(a) = 3*d(a) - 24*y(a). Let m(t) = 109*t. Calculate m(c(s)).\nAnswer: 327*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/100*76\/57.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 3*u - 1. Let q be o(-4). Let a be -3*(-16)\/36*(-33)\/(-22). Factor -q*i**a + 3*i**2 - 4*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*z - 1103 + 1103)*(5*z - 3*z + 0*z).\nAnswer: -14*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 6 = -4*t, -14 + 4 = -3*t + j. Suppose 8*n - t*n = 4. What is the lowest common multiple of n and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**2 + 3*b + 1. Give q(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -14848, -14865, -14892, -14929, -14976, -15033, -15100?\n\"Answer: -5*j**2 - 2*j - 14841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 118367159?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/8 + (-33)\/12. Let d = 7 + m. Find the first derivative of -3*v**d - 6*v**4 + 3*v**4 - 3 + 3*v**4 wrt v.\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 7*u. Let x(l) = -187842*l**2 - 99*l. Give x(n(f)).\nAnswer: -9204258*f**2 - 693*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 258, 511, 764, 1017?\nAnswer: 1270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, -87, -0.5, 0.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 593\/(-120) - -2 - (-25 - 1353\/(-55)) and -35\/2376?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 30 = -3*n, 3*y - 2*n - 8 = y. What is the tens digit of (-2*2)\/(y\/(-72))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.71 and -0.006016.\nAnswer: -0.00427136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -1 - (7 - -1)) + 2216 + -2219?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(400) - sqrt(400))\/(4*sqrt(20)))**2*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 8*g + 18. Let w be n(-2). Suppose -3*c + c + 132 = -w*y, 4*c = 2*y + 272. Calculate the remainder when 276 is divided by c.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 241, -2807, -1, -3, 0 in decreasing order.\nAnswer: 241, 0, -1, -3, -2807","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 33323 to the power of 1\/2, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 z when two letters picked without replacement from {z: 1, q: 8, s: 1, a: 6}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 17\/2 of a millennium?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k - 5*k**2 - 3*k + 0*k.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - -0.8. Suppose 5*x = -0*x. Which is bigger: x or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 - 50244*c**2 - 2*c**4 - 3*c**3 + 50242*c**2 - 6*c - 1 as k*c**3 + m*c**2 + u + n*c**4 + v*c and give u.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, -6953, -4 in increasing order.\nAnswer: -6953, -4, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29931 is divided by 155.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 13*a - 129. Give y(40).\nAnswer: 951","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b - 1. Let r(n) = 24*n + 20. Let p(h) = -20*g(h) - r(h). Let m(o) = o**2. What is m(p(i))?\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -309828, 2\/23 in ascending order.\nAnswer: -309828, 2\/23, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - w + 17 = -6*w, 5*q + 2*w = 166. Suppose 10*f - 41958 = -q*f. List the prime factors of f.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 + 4)*(63*p**3 - 17*p**3 + 0*p**4 + p**4) as a*p**3 + d*p**4 + j*p**2 + b*p + r and give a.\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 7*t**2 - 3. Calculate v(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**2 - 7 + 10 + 9 + o**2 in the form i + u*o + x*o**2 and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u. Suppose 2*y + 4 = -5*n - 1, y = -5*n. Let r be (6 + -5)\/(0 - n). Let q = 8 + -3. Let s(m) = m**2 - 5*m - 2. Give q*c(f) + r*s(f).\nAnswer: -f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmnmmmm. What is prob of sequence nnm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18266*k*w**2 + 16227*w**2 with respect to k.\nAnswer: 18266*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 907245199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 367880 and 460?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11a (base 11) to base 14.\nAnswer: a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1251 and 677903.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -978.6 + 979. What is the closest to 6 in -0.3, -1\/2, l, -2\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/418 and 70\/33?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39 + 13 - 55) + -21.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 9.9 (b) 9\/124 (c) 0 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of 0*k + 1\/6*k**4 + 2\/3*k**3 + 3*k**2 - 1\/60*k**5 + 0. Let a = 12 - 8. Calculate r(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 560263.\nAnswer: 11, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -85\/84 - -33\/28. Let n(w) be the second derivative of 1\/5*w**5 - 1\/15*w**6 - 45*w + 0*w**2 - 2\/3*w**3 + 0 + j*w**4. Factor n(o).\nAnswer: -2*o*(o - 2)*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u - 1. Suppose 15*h = 11*h + 24. Determine z(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122 + 2*r**2 - 118 - 134 + 347.\nAnswer: 2*r**2 - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) 0.5 (b) 0 (c) -1 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 6*a**2 - 7*a - 5. Let r be y(-5). Suppose 5*u = 4*q + 24, 2*u + 2*u = r*q + 21. What is the units digit of (-7)\/(-2) + u\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 131772380 by -26354476.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, 32, 4, -2, -21.\nAnswer: -21, -5, -2, 4, 6, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 + 16. Let s = 762 + -823.8. Let m = s - -62.1. Sort m, g, -5.\nAnswer: g, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 632*w = 30794 + 13715 + 32202 - 10983 for w.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g + 1. Let h be d(-3). Suppose -c + 25 = 2*a, -3*c - 5 = -5*c + 5*a. Solve -u + h*u - 4*m + 12 = 0, 0 = 2*u + 5*m - c for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325535 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 230*x**2 - 340*x + 25130. Determine v(231).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = n + 41 - 261, 680 = 3*n + y. Suppose 0 = -b - 2*k + 20 + 65, 3*b - n = 4*k. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c**2 + 81*c + 181. Calculate g(-19).\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 376\/594515?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 0.2 (c) 2\/13 (d) 0.15 (e) 39\/8 (f) 27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - (-87 + 54) - 112?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -49727.\nAnswer: 1\/49727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, q: 4, r: 3}. What is prob of sequence qrrq?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - (-38 + 5 - -11)) + -23?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 3 + -3 + (-3 - -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 1\/281 (c) 0 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1524.25551 and -5121.\nAnswer: -6645.25551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**3 + 7*b**2 - 4*b + 4. Let s be -2*(1\/(-2) + -2) - 495\/55. Give r(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13231 rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**3 - 4*q**2 - 11*q + 7. Let u be c(3). What is the units digit of (((-4)\/u)\/1 + 0)*396?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 + 27*d**2 + 3*d**2.\nAnswer: 29*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6078\/(-12))\/(-3 + (-15)\/(-6)). Suppose 13*o - m = 19306. List the prime factors of o.\nAnswer: 3, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 162521141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1599*y**2 + 253 - 793*y**2 - 804*y**2 - 403*y with respect to y.\nAnswer: 4*y - 403","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3905840 to the nearest 100000.\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 108*m**2 - 279*m + 171. What is the first derivative of u(z) wrt z?\nAnswer: 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a + 14*a - 3*x - 7727 = 0, -5*a - 38652 = -2*x. What is a rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.011 and -5.\nAnswer: -0.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -400 = 40*r + 57*r - 117*r. Suppose -u = -3*u. Solve 4*h = -u*h + r for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 36 = 38 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**5 + 7*q**4 - 2*q**3 - 28*q**2 + 24*q = 0.\nAnswer: -2, 0, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -8. Let k(w) = w - 6*w + h*w. Let i(o) = 7*o**2 + 5*o. Let l(j) = 6*j**2 + 4*j. Let q(v) = 4*i(v) - 5*l(v). Determine q(k(m)).\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) - (sqrt(55) + 4*sqrt(495)))\/(sqrt(5) - -2*sqrt(605)).\nAnswer: -12*sqrt(11)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 7*k. Suppose k = z - 129 - 7. Does 23 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*f**4 + 16*f**3 - 134*f + 2 wrt f?\nAnswer: -312*f**2 + 96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3985*u + 9511 with respect to u.\nAnswer: -3985","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of 1\/60*w**5 + 0 + 63*w - w**2 - 32\/3*w**3 + 3\/2*w**4. Differentiate z(n) wrt n.\nAnswer: 2*n + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3904 = -4*i + 13794, i + 9865 = 5*q. Is q a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 4*y - 24. Let o(u) = 5*u - 11. Let a be o(y). Is -51 at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4879434*b**3 + 4827922*b**2 wrt b?\nAnswer: -29276604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 2:30 AM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -32? (a) -2 (b) 0 (c) 2\/3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qbqr when four letters picked without replacement from {r: 3, b: 3, n: 3, z: 1, l: 2, q: 3}.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 873 + 1554*y - 873 in the form j*y + t and give j.\nAnswer: 1554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6149 = -15780*d + 15709*d - 1889 for d.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/9*3\/(-6).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -68, -74, -82, -92, -104, -118?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2560997?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmss. Give prob of picking 2 s.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 33 = 4*h, 8 = -3*h - 4*b + 34. Suppose y = 2*y - 61. Let q = -55 + y. Calculate the remainder when q is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.1 (b) -1 (c) -1\/2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000054897 rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 3003443?\nAnswer: -3004000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u. Let k(r) = -4900*r - 4890*r + 14688*r - 4892*r. Let s be 3*(0 + 1\/(-3)). What is s*k(i) + 3*l(i)?\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 378 + -588. Let n be ((-4)\/(-6))\/((-5)\/a). Let l = n + -15. Calculate the remainder when l is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -411*t**2 - 3*t. Let f(d) = -d. Let l(c) = -3*f(c) + u(c). Let w(q) = 2*q. Calculate w(l(z)).\nAnswer: -822*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 128 - 575 = 0. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3017 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5579497 divided by -507227?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 11 = v - 29, 5*v + 22 = -3*o. Let r be (-6)\/((-1)\/(4\/(-3))). Sort -5, o, r in descending order.\nAnswer: o, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -186167.96 rounded to the nearest one thousand?\nAnswer: -186000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 185*x**2 + 614*x + 613. Determine z(-1).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8450485 and 8450485?\nAnswer: 8450485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 103981 to the power of 1\/2, to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 5. Let b(x) = 0*x - c - 7 + 4*x - 1. Let o(f) = -f + 3. Calculate -2*b(z) - 7*o(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((208\/(-6))\/4)\/((-2)\/(-3)). Is d equal to -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(3\/6*2). Suppose -2*h - 3*p + 76 = 2*h, -3*h - p + 52 = g. Let b = 208 + -144. What is the greatest common divisor of b and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2714256 a multiple of 292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 0.1, 1\/9, -60\/59?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*i + 20299447 + 2068053. What is i rounded to the nearest ten thousand?\nAnswer: -970000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 382461?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.14, -0.2, -1\/6, 14, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1563 divide 7868142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 10*s**2 + 11*s + 2. Let x be p(-11). Solve x*g = -0*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1313043828 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 42203255 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1616*p = -1765*p + 8493 for p.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2000921*p**2 + 45*p - 188261877.\nAnswer: -4001842*p + 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -266*q + 4. Let a be g(-6). Round a to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/30*(-15)\/84. Let r be (-4)\/(-7)*123\/(-16). Let s = x - r. Find the common denominator of s and -93\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**3 + 6*g**2 + 27*g - 16. Let l(c) = -2*c**3 + 5*c**2 + 25*c - 16. Let u(b) = -6*l(b) + 5*v(b). What are the prime factors of u(5)?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -617 - -345. Let h be (-2)\/(-12) - w\/96. Solve 0 = h*i - 0*i - 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 920 - -1?\nAnswer: 921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26\/713 + -248967\/3565. Let n = g - -70. Let b = -2.009 - -0.009. What is the third smallest value in n, b, -4\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2919*i**2 + 2486*i**2 + 2926*i**2 - 8337*i**2.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 2*p + 18, -2*f + 4*f + 3*p + 13 = 0. What are the prime factors of (-3 - f)*-9*-1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4*i + 32 = -2*i, 0 = 4*i - 12. Let k = 23 + q. Does 4 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.626757kg in milligrams?\nAnswer: 6626757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49559685.\nAnswer: 3, 5, 7, 471997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e2 - -a?\nAnswer: ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (95\/855)\/(125\/1625).\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1929192737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00735083657 rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6825 and 11102.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 2*t + 12. Suppose 3*w + p - 17 = -3, -4*w - t*p = -16. Suppose 2*a + 4 = w*q, -4*a = -a - 2*q - 5. Which is smaller: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1502*t - 189 = -1523*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 80, -5 in decreasing order.\nAnswer: 80, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -143313 + -13?\nAnswer: -143326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, o: 3, r: 1, h: 2, x: 10}. Give prob of picking 1 o and 1 r.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 8. Let d = 81 - 78. Let l(j) = -5*j**3 - 2*j**2 - 5*j - 11. Let h(q) = 2*q**3 + q**2 + 2*q + 4. Let f(v) = d*l(v) + 8*h(v). What is f(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 184 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((225\/24)\/(45\/(-30)))\/((-7)\/(-28))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -843, 5, 2.8, 398, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n + 3640. Let i(f) = -28*f. What is i(s(w))?\nAnswer: -28*w - 101920","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00011545 rounded to six dps?\nAnswer: -0.000115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 220 and 138078820?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of o**4\/12 - o**3\/6 - o**2\/2 + 78*o + 4. Let p(s) = -4*s + 1. Calculate -2*g(q) + p(q).\nAnswer: -2*q**2 - 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 h when three letters picked without replacement from hhhaaahhhahzhahhh?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(-19)))\/(u*u*u**(21\/5))*u*u**2*u*u\/(u\/(u\/(u\/(u\/(u*u**(-26)))))))**(-2\/19) assuming u is positive.\nAnswer: u**(-428\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1317312?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-18)\/(-15))\/1 - (-102)\/(-60). Which is the closest to 2\/3? (a) n (b) -3\/16 (c) -1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-3)\/27)\/(((-645)\/(-43))\/1080).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4289087 days to microseconds.\nAnswer: 37057711680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(-11\/2))\/f*f*f**27 assuming f is positive.\nAnswer: f**(47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0 = -3. Suppose -8 = -x*w + 7. Suppose 0 = -0*z - w*z. Solve z = -3*p - p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.236 - -0.064. Put 2, 1\/5, d, -0.4 in increasing order.\nAnswer: -0.4, 1\/5, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2. Suppose 0 = 2*v + s - 8, 0 = 4*s - 11 - 5. Let f(r) = -8*r**2 + 8*r**2 + r**v. What is w(f(i))?\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/27 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/8 of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, p: 2}. Give prob of picking 3 u and 1 p.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28\/5 - -45\/8. Let f(t) be the third derivative of 0*t + 0 - 1\/12*t**5 + 0*t**4 + 0*t**3 + 4*t**2 - c*t**6. What is the third derivative of f(o) wrt o?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -66759.3 to the nearest 1000.\nAnswer: -67000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000082470552 to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/(-15))\/((-4)\/(-10)). Let l(o) be the first derivative of 1 + 3\/2*o**4 + 2\/5*o**5 + 0*o + 2*o**3 + o**c. Factor l(u).\nAnswer: 2*u*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10218.93 milligrams in micrograms?\nAnswer: 10218930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -520225 and -520244 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = c + 2. Let a(o) = -o**2 - 34*o + 27. Let s be a(-5). Suppose c*w = 11*w - s. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 47, 128, 283, 536, 911, 1432?\nAnswer: 2123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 219825 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4057 - 16) + -7)*(-2)\/4. Put -5, -4, u in descending order.\nAnswer: u, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -10, -13.\nAnswer: -13, -10, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-5)\/(-6)*(-36)\/40).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 - -1)*(-1)\/(-1). Let x = m - -6. Let l(r) = -r**2 - r - 1. Let z(i) be the third derivative of i**5\/15 + i**4\/8 + 5*i**2. Determine x*l(o) + z(o).\nAnswer: 2*o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 194 - 191. Calculate the smallest common multiple of 29 and g.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (292\/(-60) - -5)\/((-1)\/(-145)). Which is greater: 20 or j?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102575 is divided by 25535?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3713 + -3681. Suppose 5*k + 99 - 35 = -4*r, -3*k + 2*r = 34. Let t = k - -18. What is the smallest common multiple of t and n?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -33*c**3 - 11*c**2 + 5*c + 75. Let t(q) = 166*q**3 + 56*q**2 - 26*q - 373. Let a(g) = 11*o(g) + 2*t(g). Is a(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 20 = -3*z. Let k(j) = 3*j + 1 + 0 - 4*j. Give k(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98560993387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 960 = 12*k - 4*k. Is k\/80 + (-1)\/(-2)*22585 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/5)\/(w*w\/(w\/((w**(-16)*w*w)\/w))*w))**(2\/9) assuming w is positive.\nAnswer: w**(136\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -434 - -437. Let v(n) = n + 10. Let m be v(-8). What is the second biggest value in 1\/4, m, x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*n - 3*c, 10*c = -2*n + 5*c - 34. Let y(z) = -z**3 + 12*z**2 + z - 1. Let t be y(12). Put 7, t, 5, n in increasing order.\nAnswer: n, 5, 7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -11 + 13 + -3 + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 10:42 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -67, -80, -93, -106?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -10*g - 67. Let p be ((-4 + 5)\/(2\/14))\/(-1). Let n be r(p). Put -3, n, 4 in decreasing order.\nAnswer: 4, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 313 + 159094415.\nAnswer: 159094728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, g: 1, i: 5, u: 8, y: 2}. Give prob of sequence uyiy.\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sgoisdgesdogd. What is prob of picking 1 d and 1 g?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -0*g - 2, -3*s + 3*g - 111 = 0. Suppose -3*l + 114 = -5*l. Let n = s - l. List the prime factors of n.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 97*-3273\nAnswer: -317481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -46*u - 233*u + 56*u. Let a(y) = -2*y. Calculate a(o(c)).\nAnswer: 446*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 2*c**2 - c + 1. Let w be f(0). Is w\/(495\/(-125) + 4) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*m + 5 = 0, -3*z = -z - 2*m - 8. Let u = 3 + -4. What is the nearest to u in z, 0.4, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0397177 - -327.\nAnswer: 326.9602823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -3\/8 (c) 1699 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 6:29 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 48\/128*1\/(-3)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*m**2*v + 124*m**2 + 2*v**2 wrt v?\nAnswer: -10*m**2 + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1805587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -32?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 2\/5, 2\/19, 1\/10, 3\/10.\nAnswer: 1\/10, 2\/19, 3\/10, 2\/5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w - 4*w + 6*w + 9*w.\nAnswer: 19*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u = 27*u. Solve u = 3*f - 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12850, -49021, -109312, -193723?\nAnswer: -302254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -9*s + 667. Calculate the remainder when 1010 is divided by j(37).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggggjyggyggyyjj. What is prob of sequence jjjy?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 j when two letters picked without replacement from zazjobje.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*y = -41, -y + 37 = 3*c - 6*y. Let a be 33*c\/((-8)\/(-2)). Find the second derivative of -6*r + a*r**2 + 2*r**4 - r**4 - 33*r**2 wrt r.\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15912667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-18)\/(b*b**(-1\/7)*b))\/(b*b**16*b)**(-9) assuming b is positive.\nAnswer: b**(995\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1014?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -56.62564 rounded to 1 decimal place?\nAnswer: -56.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 1 = n + 3*o, -4 = 4*o. Let k(w) = -3*w**2 + 6*w**2 + n + 4*w - 2*w**2. Give k(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -a**5\/20 - 5*a**4\/12 + 5*a**3\/6 - 2*a**2 + 10*a. Let i be d(-6). Factor -12\/7*g**i - 24\/7*g - 2\/7*g**3 - 16\/7.\nAnswer: -2*(g + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1925 and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*t - 145*t - 79*t + 479*t.\nAnswer: 155*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.05 + 0.15. Let k = -0.1 + a. What is the second biggest value in k, -2\/11, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 698, 696, 694, 692, 690?\nAnswer: 688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2417849016 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b + 82*v - 84*v - 10, -v - 5 = 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 + -26. Solve -6*i - 2*l = -4*i - r, 5*l + 17 = 3*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 12) to base 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-6))\/(3\/(-6)). Suppose 5*a - 41 = -s. Let t(i) = -i**3 - 3*i**2 - 3*i + 1. Let p be t(-3). Solve a*v - 3*v = -p for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*h**3 + 50*h**3 + 30*h**3 - 80*h - 133*h.\nAnswer: -h**3 - 213*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1065 and 1059?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((c - c + 2*c)*(-c + 4*c - 2*c) + c**2 + 17*c**2 - 2*c**2 - c**2 + 5 - 5 - 3*c - 3*c**2 + 3*c + (-2*c**2 + 2 - 2)*(2 + 3 - 4))*(196*c - 101*c + 45*c).\nAnswer: 1680*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 16, 29, 44, 61, 80, 101?\n\"Answer: x**2 + 10*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**2 - d**2 - 5*d + d**2 - 3 - d**2 in the form k + u*d**2 + x*d and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5861903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 + 20*s**2 + 1205*s + 4180.\nAnswer: -5*(s - 19)*(s + 4)*(s + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3972876310?\nAnswer: 2, 5, 13, 30560587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 2*h + 25. Let n be i(9). Let m = -47 - n. Solve 4*s + 2*a - 6*a - 32 = 0, -m = -3*s + 4*a for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 1. Let r = 0 - l. Let w = 6 - 19\/3. Which is greater: r or w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3816)\/180 + (-2)\/(-10). Which is greater: a or -43\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddqdidaiaaddddddii. What is prob of sequence aaai?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 - -0.2. Suppose 2*k - p + 1 = -1, -k - 3*p - 15 = 0. Which is the nearest to -3? (a) k (b) v (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (80\/(-60))\/(2 - (-12)\/(-9)). Let u be (5 - h) + 5 + (-8)\/2. Suppose 0 = 3*d - 0*d. Solve d = 4*m + 8 + u for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -6*h + 1\/6*h**4 + 0 + 0*h**2 + 0*h**3. Let d(p) = 2*p**2. Give d(g(b)).\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(3) - (-2 + sqrt(3) + -4))**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 3. Let n = 4.4 + g. Let u = n - 0.4. Do -2 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t + 14*t**2 + 2*t**2 - 2*t**2 as v + p*t + z*t**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-6) - (-15)\/27. Let g = 2.5 + -2. What is the third biggest value in -1\/4, q, g?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from odoo. What is prob of sequence od?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (64\/6)\/(166\/(-6) - -29). Let o be (-16)\/(-6) - (-1)\/3. Solve o*m = -1 - n for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -76 (b) 22 (c) 2\/5 (d) -37 (e) 1\/12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/61615216 and 1\/440896?\nAnswer: 246460864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 + 0*y**2 + y**2)*((2*y - 7*y + 3*y)*(-2 - 2 + 2) + 5*y - 2*y - 2*y - y + 3*y - 4*y + y - 2*y + 0*y + (-1 - y + 1)*(-3 - 3 + 7)).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 3*y**2 + 4*y - 7. Let s be l(3). Suppose -20 = s*w, -5*v - 5*w + 2 + 13 = 0. Solve v + 9 = 4*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2970 and 298350.\nAnswer: 3281850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-136)\/374*(-22)\/4. Solve -6*n + 2 - g = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*4\/(-10)*(-15)\/3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 4957.918g?\nAnswer: 4957918000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 192083 and 7055.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 9:54 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, -5, 0, -3 in descending order.\nAnswer: 61, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -66 - -74. Suppose 5*b = 29 + 41. Calculate the remainder when b is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 243 - 236. Let p be (-1*(0 - -1))\/(-1). Let w be (-13)\/(-26)*(s - p). Solve -2*g + 6*g = -2*c, -w = 3*g for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 26, 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0447552 to 3 decimal places.\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.2 - -1. Let t = -1397\/3 + 465. Which is the second smallest value? (a) v (b) t (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2ac063 (base 14) to base 5\nAnswer: 340232243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010101100111 + -111?\nAnswer: 11010101100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 6 = 4*a, 0 = 5*d - 2*a - 3*a + 15. Let m be (104\/(-36) - -3)\/(d\/(-6)). Suppose 2\/3*j**2 + 2\/3*j**3 - m*j**4 - 2\/3*j + 0 = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 3*c = 4 + 5, 14 = 4*d - 2*c. Suppose 3 = -5*b - 7, -18 = d*r + b. Let j(i) = -i. Let f(x) = -10*x. Let u(z) = f(z) - 12*j(z). Determine u(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 77*o**2 + 12*o - 23. What are the prime factors of w(7)?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 6*l = 4*v - 2474, 2*l = -2*v + 1246. Suppose 460 = 18*o - v. What is the smallest common multiple of 42 and o?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -n**6\/24 - n**5\/15 - n**4\/12 + n**3 + 11*n**2. Let x(l) = 4*l**3 + 4*l**2 + l - 5. Let f(m) = -5*i(m) - 6*x(m). Factor f(u).\nAnswer: u*(u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.26793ng in milligrams?\nAnswer: 0.00005626793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**3 - 256*j**2 + 4611*j + 935. What is l(-144)?\nAnswer: 503","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7292 and -32.\nAnswer: -7324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 887721693 to the nearest integer?\nAnswer: 961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -793*n + 2381. Determine m(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2735932 to the power of 1\/3, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2500 is divided by 132.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -115 - 75. Suppose 0 = -3*i + v + 59. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3312580849 take away 3.4?\nAnswer: -3.0687419151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.0276, -20\/7, -2?\nAnswer: 0.0276","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3 = -0*b. Suppose 5*f + b*p - 16 = 0, 5*f - 6*p + p = 0. What is the least common multiple of 6 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*y - 180 = 0. Let j = 269\/3 + y. Which is the third smallest value? (a) j (b) 0.05 (c) -2\/3 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 10:22 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1021455?\nAnswer: 3, 5, 22699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 277 + -198. Let z = q - 55. Find the third derivative of 7*w**6 - 25*w**6 - w**2 - z*w**2 wrt w.\nAnswer: -2160*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -181 + -523005?\nAnswer: -523186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of 0*m - 2\/3*m**3 - 175*m**2 + 1\/24*m**4 + 0. Let j(w) = -2. Determine 6*j(b) - 2*v(b).\nAnswer: -2*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65 (base 9) to base 6.\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k - 13. Give p(18).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -d**5\/24 - 17*d**3\/3 + 13. Let m(f) be the third derivative of c(f). Let n(b) = -13*b**2. Give n(m(s)).\nAnswer: -325*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**3 - 5*y**3 + 0*y**3 + (-1 + 2*y**2 + 1)*(2*y + 0*y + y) - y**3 + 4 - 4.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -3*n**4\/7 - 6*n**3\/7 + 87*n**2\/7 + 90*n\/7 = 0.\nAnswer: -6, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.07, -1\/3, 47, -1167, 18?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 - 8*k + 8. What is the remainder when u(4) is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 846 and 14?\nAnswer: 5922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 79763199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 2*w - 48. Let z = -3354 - -13323\/4. Calculate the common denominator of z and ((-24)\/32)\/(w\/(-52)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8204410 divided by -5?\nAnswer: 1640882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 89936 or 9803170\/109?\nAnswer: 9803170\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 10:20 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-7 - (5 + (5 - (3 - -1)))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 21544371 (base 8) to base 3\nAnswer: 22201200110200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -243, -267, -573, -1155, -2007?\nAnswer: -3123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 190300189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h - 3. Let o be f(-4). Suppose 0 = -o*r + 66 + 34. Let g = r + -18. Solve -m = -g*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.17 + -88\nAnswer: -87.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 4866.31 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 85*c - 80*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -5 - -42144 - (-3400)\/136?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 + 51. What is the smallest common multiple of ((-4)\/(-10))\/(1\/35) and t?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + sqrt(12)\/sqrt(4)).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 2*d - 5*d + 163, 2*d - 2*q - 122 = 0. Let v = 88 - d. Let x = v + -16. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -701*o + 3. Let z be p(-10). Suppose 2*g + 4987 = -z. What is g rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(624\/16)*-54*54\/(-5103)?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4810*o + 8055?\nAnswer: 4810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -19*h**2 - 405*h - 1561. Determine z(-4).\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52.719 - 0.004288843.\nAnswer: -52.723288843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*u, -2*y + 5*y - 4*u = -15. Let m = 7 + -93\/13. Which is smaller: y or m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 475089450?\nAnswer: 2, 3, 5, 11, 287933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 521 smaller than 7281\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 41333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 4*x - 20, 0 = -3*y - 3*x + 11 + 49. Let f(j) = -j**3 - 4*j**2 + 8*j + 6. Let l be f(-6). What is the highest common factor of l and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)\/(sqrt(4) - 2*((sqrt(4)*1 + sqrt(4) - sqrt(4)) + sqrt(4))))**2.\nAnswer: 50\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15711.7 + -178.7. Let n = 15521.9987 - m. Let k = n - -11. Round k to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*m + 3*k, 4*m - 4*k + 3 = -1. Let g be (0 + 0)\/(m\/(-4 - -3)). Which is the fourth smallest value? (a) 1 (b) 4 (c) 0.05 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 153, 555, 953, 1347, 1737?\nAnswer: 2123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 5*v - 59. Let g(i) = -2*i + 20. Let l(q) = -17*g(q) - 6*t(q). Calculate the remainder when l(10) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 66, -5, -196, -567, -1178, -2089?\n\"Answer: -10*r**3 - r + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 8038 = -502*c, c + 81*b = 78*b + 7 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and -522.\nAnswer: -520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 6*c. Let m = 3 - 8. Let b(y) = -7*y. Let q(o) = m*x(o) - 4*b(o). Let k(w) = -7*w. Let d(s) = -8*s. Let v(j) = 6*d(j) - 7*k(j). What is v(q(g))?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hxiilxhhiihihihix. Give prob of picking 3 i.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 50.494 to the nearest integer.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 308 times 4047?\nAnswer: 1246476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 590781 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -3*y + 43, y - 36*d - 29 = -32*d. Solve 49 = y*w - 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101 - 2243134?\nAnswer: -2243033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -25*x**4\/8 - 41*x**3\/6 + x**2 - 2*x + 48. Let o(i) be the second derivative of z(i). What is the derivative of o(c) wrt c?\nAnswer: -75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 11*u + 10. Suppose 2*y - 39 + 9 = 0. Suppose -4*q + 55 - y = 0. Calculate the least common multiple of 4 and t(q).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 47 - 37. Suppose 12*a - v = 15. Suppose -3*l + a*t + 79 + 149 = 0, 0 = 5*l + 2*t - 373. Is l a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24262 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9 and 0.1328?\nAnswer: 1.1952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*x - 113*x + 342*x - 110*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -1000010011010101100?\nAnswer: -1000010011010101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7800.939 rounded to the nearest ten?\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -105, -192, -279, -366, -453, -540?\n\"Answer: -87*b - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -13*l**3 - 134*l**2 - 9*l + 80. Give u(-10).\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -14. Find the first derivative of -h*q + 1 - 2 + 4 + 0 wrt q.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/4 of a millimeter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f - 3*f + 0*f + (-3*f + 2*f + 0*f)*(0 - 2 + 0) + 3 - 3 - f + 0*f + 3*f - 2*f)*(-2*f**3 - 9 + 9)*(-3 - f + 3).\nAnswer: 8*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 + 14*b - 122. Calculate z(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4*y - 161560 = 0, 2*y = -3 - 3. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125681 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7062 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -13, -296, 71?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3494 (b) 2\/11 (c) -0.0597\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*i - 16. Let u = i + 0. Suppose u*m - 12 = -m. Solve -s + 0*s + m*d = -7, -4*d = 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*s*y**4 - 274*s*y**3 - 82*s*y**2 - 3*s + 2*y**4 - 2*y**2 wrt y?\nAnswer: -48*s*y - 1644*s + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36643?\nAnswer: 36643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 669566 a multiple of 827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 4*y**2 + 3*y + 7. Let s(f) = f**3 + 2*f**2 + 2*f + 4. Determine -4*g(w) + 7*s(w).\nAnswer: 3*w**3 - 2*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/35880 and 107\/77584?\nAnswer: 26766480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, m: 3, q: 3, c: 1, p: 1, w: 6}. Give prob of sequence ec.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*0.103.\nAnswer: 0.515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 186.42 in 1, 0.2, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*f + 3*j - 19 = -39*f, 4*f = 3*j + 37. What is the remainder when 529 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 13*p**4 - 3*p**3 + 3*p - 8. Let j(z) = z**3 - z. Let c = -4 - -1. Let t(r) = c*j(r) - d(r). Differentiate t(q) wrt q.\nAnswer: -52*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 3)\/12*(2061 + -2015)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 11:25 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 558 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 678 divide 337877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405655?\nAnswer: 5, 81131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.1575347 to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 6*t - 4*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 9\/2*v**4 - 1\/2*v**5 + 0*v + 0 - 23\/2*v**3 + 15\/2*v**2 = 0. What is v?\nAnswer: 0, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -756941\/528138 + -170\/2257. Let o = u - -16\/13. Let f = 7\/9 + o. Which is the second biggest value? (a) 1 (b) f (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 1020 = 5*n. Let l = n - 167. Suppose 0 = -2*o - 4*h + 22, -8 - 1 = -3*h. Solve -l*v = -4*p + 1, 3*v + o + 8 = -2*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 8. Let h = t - 2. Suppose -4*m + 19 = -h*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10030182457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3\/8*t**3 - 387\/8*t - 48*t**2 = 0. What is t?\nAnswer: -1, 0, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 661410412.\nAnswer: 2, 13, 127, 100153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -324*f + 5862 + 6199 - 2341 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (((-21)\/54)\/(-7))\/((-3)\/(-12))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 12 = 4*c. Solve 2*x + 3*x - 5*s - 30 = 0, -s + c = 3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/198 and 26\/165.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50 + 57. Suppose p = -6*d + 385. Let j = -41 + d. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 9:42 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 - -32. Find the third derivative of -3*k**3 - 2*k**3 - 6*k**3 + 2*k**2 + 4*k**w wrt k.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 79, 140, 359, 5 in decreasing order.\nAnswer: 359, 140, 79, 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 12*j**2 - 12*j - 136. Let r be z(-12). Solve 35*q = 33*q - r for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a tonne in kilograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -17\/2 (b) -0.1 (c) 1.3 (d) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, 1\/36, -1\/3, -4\/5, 3\/80, 0.5, -283?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hahh when four letters picked without replacement from hhahhaahhhahhaaa.\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.066 or -36964?\nAnswer: -36964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 45*g + 4. Let p be v(-3). Let c = -61 - p. Calculate the highest common factor of c and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (34\/(-442))\/(1\/13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -4, 0.11, 1, 2358?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75968*h - 118496*h - 144561*h.\nAnswer: -187089*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 32\/14 + (-4 - (-52)\/14). Let o(g) = -60*g + 2*g**2 + 13 + 52*g - 3*g**w. Let t be o(-9). Solve t*h - h = 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnluso. Give prob of sequence usn.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 93450*o**5 - 8*o**4 + 4*o**2 + 119*o + 4716 wrt o?\nAnswer: 5607000*o**2 - 192*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5349292079 and 7.076.\nAnswer: 5349292086.076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 121 - 86. Let a be 10\/l + (-26)\/(-7). Solve -r + f = 1, f = 4*r - a*f + 1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of (2\/4)\/((-4)\/(-672))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 2)*(-354*r + 354*r - 80*r**4).\nAnswer: 80*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 346 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.635 and -809615708.8?\nAnswer: 809615708.165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*r - 363*r - 9260 = 64*r - 35*r for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*d**3 + 1994478*d**2 + 4533057*d + 1087938 = 0 for d.\nAnswer: -2, -3\/11, 60441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -760*o**3*t**2 + 30625*o**3*t - 626415*o**2*t**2 - 15*o**2*t wrt o.\nAnswer: -4560*t**2 + 183750*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/5 + 8\/(-20). Find the first derivative of 2 - 7 - 3*k**2 + 10*k**2 + j wrt k.\nAnswer: 14*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 299 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10531 + 5?\nAnswer: -10522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 1779 = -0*d + 5*t, 2*d = -2*t - 3510. Let y = 2976 + d. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2211561, 8846215, 19903963, 35384799, 55288717?\n\"Answer: -v**3 + 2211553*v**2 + 2*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(72) - (sqrt(72)*1 + sqrt(72) + 2))**2 + 5 - (5 + 1*(sqrt(2) - (sqrt(2) + -1 + sqrt(2))))**2*-6).\nAnswer: -48*sqrt(2) + 306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.0654 and -1.\nAnswer: -1.0654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fyzoozzfmoo. Give prob of picking 1 f, 1 z, and 1 m.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g + 1. Let u(h) = -3*h - 12. Let p(l) = -6*m(l) - u(l). Let k be p(7). Let x = 25 + k. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1993.594 and -0.1.\nAnswer: 199.3594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**4 - 2727*h**3 - 36*h**2 + 32772*h - 43632 = 0?\nAnswer: -4, 2, 909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**6*x - 299*d**6 + 11*d**2 - 21*d*x wrt d.\nAnswer: 120*d**3*x - 35880*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 2*m**2 - m + 3. Let q be b(0). Suppose -11 = q*t - 65. Calculate the greatest common factor of 144 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5241*f = 5231*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**4 - 220*a**3 - 935*a**2 - 1190*a - 480.\nAnswer: 5*(a - 48)*(a + 1)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -0.225 (c) -6 (d) -5 (e) 2\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -7*k - 9. Give t(3).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211561?\nAnswer: 7, 30223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -530497 by 48227.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 24236132 to the nearest 100000.\nAnswer: 24200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197006996?\nAnswer: 2, 49251749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -432, -695, -956, -1215, -1472, -1727?\n\"Answer: p**2 - 266*p - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.2, 7442, -1, 1\/2 in decreasing order.\nAnswer: 7442, 5, 1\/2, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*x = -13*x + 200508. Does 76 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1016)\/(-24) - (-42)\/21*2\/(-12). What is the closest to 1\/2 in 1\/9, 2, i?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 9) in base 8?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.13 + -2.87. Let l(u) = u**2 + u - 1. Let o be l(1). Which is the closest to -0.4? (a) -4 (b) o (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8268)\/(-1484) - 8\/14\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6140, -24572, -55298, -98324, -153656, -221300, -301262, -393548?\n\"Answer: -q**3 - 6141*q**2 - 2*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 263 + -15?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-20)\/190*-19*53211\/6?\nAnswer: 17737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -4*v - 8, -3*q - 4*v + 27 = -0*v. Suppose s = u + 4*u - 2, 0 = q*s - u - 38. Calculate the least common multiple of s and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -c**4\/12 - 10*c**3\/3 + 4*c**2 - 8*c + 9. Let d(i) be the first derivative of g(i). What is the units digit of d(-17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*t = 602, -124 + 420 = -w + 4*t. Let c = w + 478. Suppose -5*m = o - 84, 2*o + 6*m - c = 2*m. What is the remainder when o is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211987007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (11 - (12 + -6 - (-9 - 0)))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 166549 (base 10) to base 5.\nAnswer: 20312144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -29194, -29206, -29228, -29260?\n\"Answer: -5*c**2 + 3*c - 29192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = t - 3*s - 37, -2*t = -2*s - 48. Let p = 5 + -3. Solve -p*k = r - 2, -3*k = -k - 5*r + t for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 5*x - 13 = 0, w + 4*x + x - 7 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12683590583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32149, 64295, 96441, 128587?\nAnswer: 160733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 80\/1507 or 26\/5?\nAnswer: 80\/1507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u - 5. Let p be r(-12). Suppose 4*b - p = 9. Let q(s) = -12*s - 4. Let l be q(-5). What is the greatest common factor of l and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9892.872m in kilometers?\nAnswer: 9.892872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5ba + 4?\nAnswer: 5c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3035 is divided by 98.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus 403463?\nAnswer: -403468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 115 - 5. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 19673*h**2. Let g(o) = 122*o**2. What is g(w(f))?\nAnswer: 47217285338*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 14) to base 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**3 - 10525791*s**2 - 21051579*s - 10525789 = 0?\nAnswer: -10525789, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**2 - b + 1. Let z(g) = -5*g**2 - 8*g - 2. Give 2*w(u) + z(u).\nAnswer: -9*u**2 - 10*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 595794?\nAnswer: 2, 3, 109, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 91\/5 - 18. Let n = -3.9 + -1.1. Let b = 2 - 1.5. What is the closest to -1\/4 in o, b, n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45825\/2397 + 2\/(-17)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -6.42972653 and 3.\nAnswer: -3.42972653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 68\/975 - -5132\/975. Solve -k + 2\/3*d**4 + 4*d**2 - 8\/3*d + 10\/3*d**3 = 0 for d.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -16*y + 15*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of 3*q + 1\/6*q**4 + 0 + 4\/3*q**3 + 4*q**2. Find v such that x(v) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2911 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 + 3584250*d + 642342403125.\nAnswer: 5*(d + 358425)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-110)\/165*18\/8.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 8. Let i be (m + -2)\/((-4)\/(-6)). Suppose r - i*q = -2*r + 69, 5*r - 3*q - 111 = 0. What are the prime factors of r?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -13*o**3\/6 + 59*o**2\/2 - 518*o - 1. Calculate w(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 - 11*q - 6*q + 19*q.\nAnswer: 2*q + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + (-10)\/(-4)*(-1 - -13). Suppose -j*r + 25*r = -186. List the prime factors of r.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10032 and 361988?\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 12*s - 173. Calculate u(11).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-121516)\/(-857760) + (0 + -2 - 51\/(-24))?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3905?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5.1 and 2.30872689484?\nAnswer: 2.79127310516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4501327?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/1480 and 93\/2924.\nAnswer: 1081880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -62*y**3 + 2*y**2 + 7*y + 13. Let d be q(-4). Suppose 3*p = 8*p - d. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pdiddmdvdpvp. Give prob of picking 1 m, 1 p, and 2 d.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -4. Let o(k) be the first derivative of -9*k**2\/2 - 2*k + 1. Does 8 divide o(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114177b (base 14) to base 13.\nAnswer: 191cb16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -447117\nAnswer: 4\/447117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 371365000 rounded to the nearest 1000000?\nAnswer: 371000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -29\/36 in -0.1, 0.4, -26?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.6, -3, -0.5, -3\/4, 0.7, 2\/7.\nAnswer: -3, -3\/4, -0.5, 2\/7, 0.7, 4.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) 4\/43 (b) -32 (c) 2 (d) -119\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4285 rounded to 2 decimal places?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 4*j + 3*j)*(-3 - 4*j + 3) + 4*j**2 + 0*j**2 - 3*j**2 - 5*j**2 + j**2 + 2*j**2 + (-2*j + 7*j + 4*j)*(0 + 2*j + 0).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2890736 divided by -9766?\nAnswer: -296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 692079 bigger than 692077?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 - 1)*(s + 25 - 39 - 3*s) as r*s + u and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -197, -194, -201, -224, -269, -342, -449?\nAnswer: -596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 8) to base 9\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*y - 28 = 0, 3*y - 36 = 5*g - 2*g. Let s = g - -20. Find the third derivative of 0*u**3 + 3*u**3 - s*u**2 + 13*u**2 wrt u.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12813, -12787, -12743, -12681, -12601, -12503, -12387?\n\"Answer: 9*h**2 - h - 12821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1020*q + 4*q**3 - 1020*q - 9*q**2.\nAnswer: 4*q**3 - 9*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5660*c + 5660*c + 876*c**2)*((-1 + 1 + 2)*(0*c + 2*c - 3*c) - 4 + 4*c + 4).\nAnswer: 1752*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -107 + 107.064. What is y rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70 - 3*p + 3926*p**3 + 12256*p**3 - 70 + 5808*p**3.\nAnswer: 21990*p**3 - 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*6*(sqrt(1053) + 1 + sqrt(1053) + sqrt(1053) - sqrt(78)\/sqrt(24) - sqrt(143)\/(sqrt(11)*-2*2)).\nAnswer: 12 + 321*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1187805.6 months to decades.\nAnswer: 9898.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -340679*c**6 - 3*c**4 + 4*c**3 - 7400471*c**2?\nAnswer: -40881480*c**3 - 72*c + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*d - 18216 = -7*o, 0 = -2*o + 5*d + 9120. Suppose -g + o = -3850. Round g to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 79 = -3*z, 2*l - 164 = -2*z + 6*z. List the prime factors of l + (-3)\/(6\/8).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100 + 233212303?\nAnswer: 233212203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219981 = 19136*t - 1345130 - 463139 for t.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/21, 70, 24, -3, 55, 0.4?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 15*x**2 - 14*x + 6. Let s be f(-14). Let g(b) = b**3 - 7*b**2 + 7*b - 6. Determine g(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (288\/120)\/(2\/5)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 17 - 29*a**4 - 5*a**2 - 34*a**5 + 25*a + 11*a**5 - 2*a. Let g(v) = 4*v**5 + 5*v**4 + v**2 - 4*v - 3. Let d(c) = -34*g(c) - 6*q(c). Factor d(z).\nAnswer: 2*z*(z - 1)*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 1575 = 9*s. Suppose -10*x = -5*x - s. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 e when four letters picked without replacement from {e: 3, r: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000807057 rounded to 7 decimal places?\nAnswer: -0.0000807","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57 and 1748.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1862 - 1862. Which is the third smallest value? (a) -0.5 (b) -130 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*u - 116435 = -111847 for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 212 and 20036.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -42, -3, -5\/4?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(140) - (sqrt(315) - (1*sqrt(315) + sqrt(315)))\/sqrt(9))\/(1*sqrt(84)\/(sqrt(24)\/sqrt(2))).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and -2447.7466057466.\nAnswer: -2448.0466057466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 4\/31, 1\/3, -2\/15, 5, 38 in decreasing order.\nAnswer: 38, 5, 1\/3, 0.2, 4\/31, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-16)\/(-36)*11325\/(-5800) and -13\/6.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from vvvvvuvvvrrvrrvrr?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 15*g**2 + 27*g + 176. Let u be a(-16). Let h = 2554\/11 + -232. Factor 2\/11*c**3 + h*c + u - 4\/11*c**2.\nAnswer: 2*c*(c - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1432312 - -20?\nAnswer: 1432332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3\/4 - 3*a**2\/4 + 33*a\/2 + 30.\nAnswer: -3*(a - 5)*(a + 2)*(a + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/16? (a) -4 (b) -3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**3 - m**2 + 20*m**3 + 0*m**2 + m**2 - 22*m**3.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a week in seconds?\nAnswer: 9450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1661556 + -4984666\/3. Factor 4\/3*w**3 + 0 + 2\/3*w**4 - j*w**2 - 4\/3*w.\nAnswer: 2*w*(w - 1)*(w + 1)*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*r + 100*r - 186*r = -61*r - 2695 for r.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9098?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 2 - (14 + -8 - 9)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 67 = 2*x, 2*x + 194 - 128 = -4*z for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 191, -1 in ascending order.\nAnswer: -3, -1, 191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1367*m**2 + 1289*m**3 - 553*m**3 - 738*m**3.\nAnswer: -2*m**3 + 1367*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/9 - (-8)\/(-12). Is i\/((-4)\/(-1528)*-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000143432 to 6 decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -787*v**7\/42 - 22*v**4 + 170*v. Find the third derivative of w(d) wrt d.\nAnswer: -47220*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 972138 is divided by 972137.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -6*s**2 + 15*s. Let n(y) = 5*y**2 - 14*y. Let d(o) = -3*n(o) - 2*q(o). Factor d(k).\nAnswer: -3*k*(k - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 52*(-18)\/(-12)*4\/6. Suppose 4*z + 99 = -3*w - s, 0 = 3*w - z + 131. Let q = w - -44. Which is greater: -5\/13 or q?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 2. Suppose -11 + 7 = -y*d. Suppose 0 = -3*v + z + 110, -68 = -d*v + 5*z - 3*z. List the prime factors of v.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 0.5, -8.68, 5, 1\/5, -2\/11?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*1*(-34)\/(-17). Solve 5*t - 2*s - 8 = 0, 3*t - f*s = t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*c - 2. Suppose 0*f - 212 = -c*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -5 - 19*w**3 + 38*w**3 - 18*w**3 - 9 - 10*w**2 + 11*w. Let t be c(10). Let n = 170 - t. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -323? (a) -3 (b) 3\/4 (c) 3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 6*b + 35. Let d be r(-11). Let f be (-54)\/12*d\/6. Solve 0 = 3*k - 3*a + f, 2*a + 6 = -4*k - a for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((0 + sqrt(243) + -5)**2 + (sqrt(243) + -1*sqrt(243))**2*2)*-6*6.\nAnswer: -9648 + 3240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 304 and 12677484?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 2. Let g be c(0). Let t(s) = -5*s**3 - s + 3 - g + 3*s**2 + 1. Let v(q) = -9*q**3 + 5*q**2 - 2*q + 4. Determine -5*t(b) + 3*v(b).\nAnswer: -2*b**3 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*u - 3*m + 184 = -258, -3*u + 62 = u + m for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27054 + 216433\/8. Are -3.96 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(85\/15 + -5). Put 3, -3, o, -5 in decreasing order.\nAnswer: 3, o, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.291 - 0.009. Suppose 25*l + 16 = 21*l. Let h be 240\/50 + l\/5. Sort h, 1, r in descending order.\nAnswer: h, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 14516807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 748.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*c + 21*c + 2*x + 2359, -3*c + 2374 = -5*x. What are the prime factors of c?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 386504?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28381841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 (base 7) in base 13?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2459\/4 + -31959\/52. Sort -14, -2, q, 0 in increasing order.\nAnswer: -14, -2, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 126441 - 1?\nAnswer: 126440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/49 > -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -7*121476\nAnswer: -850332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 498073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 258.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/6 (b) 0.1 (c) 1\/4 (d) 642\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1496 or -5\/122?\nAnswer: 1496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*d - 110*d**2 - 4*d**3 + 2 - 16*d + 5*d**3 + 3*d + 105*d wrt d?\nAnswer: 6*d - 220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 160 - 87. What are the prime factors of h?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3115 a factor of 28489746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -26, 295 in descending order.\nAnswer: 295, 0, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 8*x**2 + x - 1 - 7*x**2 - 2. Let b(u) = 1. Let g(l) = -l + 5. Let n be g(6). Determine n*i(q) - 3*b(q).\nAnswer: -q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/(-70))\/(6\/14).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/6)\/(2\/123). Suppose 13 - j = -7*d. Find the first derivative of 258*b**2 - 8*b**d + 12 - 258*b**2 wrt b.\nAnswer: -32*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 3 + -3*sqrt(175) - (-5 + (-2 + sqrt(175))*3)) + -4.\nAnswer: -30*sqrt(7) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -5. Is -5 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3611248 by -8.\nAnswer: 451406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/2))**(-44))**21\/((h\/(h\/h**(2\/3)*h)*h)**(-2\/139)\/(h**(1\/13)\/h**3)) assuming h is positive.\nAnswer: h**(2488708\/5421)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - (2 - 1))\/(-1). Let w = 20 - z. Is 5 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-16) - (-133)\/(-84))*-72. Suppose 101*c + k = 102*c. Calculate the greatest common factor of c and 224.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1388?\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 25*c**2 - c + 1. Let a(t) = t. Let v be a(1). Let y be o(v). Suppose -4*i = -3*s + 8*s - 17, -3*s = -5*i - y. Which is smaller: -2\/3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1287883 + -754740. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 9 - (8 + -3 + (0 - -1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3269.\nAnswer: 7, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -65d (base 14) to base 5\nAnswer: -20014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26\/43 - -9\/86. What is the closest to -2.8 in f, 6\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 5 = -g + 9, -3*c + 31 = -5*g + 25 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 125 - 4?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 + (-21)\/((-336)\/525536) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rizr when four letters picked without replacement from zrrrirrrrrrrir?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.3401 to 2 dps.\nAnswer: 1.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -3088181 bigger than -3088180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 10:01 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3809402236.\nAnswer: 2, 97, 9818047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3430674 by -81.\nAnswer: -42354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 479970263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1600) + -1*sqrt(1600))*-1 - (sqrt(1600) + sqrt(1600)*-1*-3 + sqrt(1600)))\/(sqrt(125)*2 - (sqrt(180) + sqrt(180)*-1 - sqrt(180))).\nAnswer: -5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, a: 5, f: 3, o: 1}. What is prob of sequence fv?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + 20 + 6*b - 8 as u*b + t and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 40, 121, 244, 409?\n\"Answer: 21*r**2 + 18*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 26.86, -1, -14.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 111011000000 (base 2) to base 11\nAnswer: 2923","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1280011 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -145043, -583077, -1313133, -2335211, -3649311, -5255433, -7153577?\n\"Answer: -146011*b**2 - b + 969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-670)\/1005 + 2\/(-24). What is the smallest value in -4, 0.45, 0, -3, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -930 divided by 258\nAnswer: -155\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, a: 4, d: 3, b: 1, t: 5, z: 4}. What is prob of picking 1 d and 2 x?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**3*k*p**3 - 53*d**3*p**3 + 2*d**3*p + 2*d**2*k - 3*k*p**3 + 20*k*p**2 wrt p.\nAnswer: 6*d**3*k - 318*d**3 - 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -4 - (4 + -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52 + 37. Let c be 4\/6 + (-65)\/f. Suppose c*j - 53 = 47. Solve -4*b - b = -j, 0 = 4*a - 3*b for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -1, -3, 7, 0.03, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58079 by -4.\nAnswer: 58079\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 1)\/(2480\/(-32) - 2\/4).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27520069?\nAnswer: 1163, 23663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g + 26. Let b be l(-22). Let w = 39 + -15. Suppose 0 = 2*s - w - 6. Solve 0 = -b*x - 1 - s for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53*f + 6*f + 11*f + 100*f to p*f + g and give p.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000472 to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0442423326 rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l - 70 = -12*m + 7*m, 645*l - 2*m = 643*l - 2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2603413930?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 12. Suppose 24 = 5*l - 4*v, i*l - v - 9 = -2*l. Sort 2, 5, l in ascending order.\nAnswer: 2, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 9:05 PM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -273, -277, -283, -291, -301, -313?\nAnswer: -327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7920464*j**5 - 10888679*j**2 wrt j?\nAnswer: 475227840*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 + 27466*q**2 - 2878096*q.\nAnswer: 2*q*(q - 104)*(q + 13837)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + o + 15, 0 = -3*w - 4*o + 155. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of 4*z**3\/3 - 1308*z**2 + 427716*z + 3678. Find s, given that n(s) = 0.\nAnswer: 327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -i**4\/16 - i**3 - 6*i**2 - i + 12. Let o(y) be the first derivative of z(y). Factor o(b).\nAnswer: -3*(b + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -s**3 + 3*s**3 - 64*s - 20802*s**2 + 20800*s**2 wrt s?\nAnswer: 12*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 48 + 116 = 0. Calculate the remainder when b is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.8 - 6.6. Let a = -6 - -3. What is the nearest to j in a, -1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 1)*(1 + 1 + 0)*(2*z - 3*z - 3*z) + 0*z + 5*z - 4*z + (2 - 4 + 0)*(2 + z - 2).\nAnswer: 31*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6)\/p*p*p**1*p)\/(p**(1\/9)*p\/p**(-3\/2)) assuming p is positive.\nAnswer: p**(-119\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1635420303 to the nearest integer?\nAnswer: 40440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 0 + 0)*(-6*u + 7*u + 0*u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*102.\nAnswer: -918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9048431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 71.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 11*v. Let s be q(5). Suppose -3*j = -j - 48. Let y = s - j. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -612 (b) -4 (c) -5 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 37, 76, 137, 226, 349?\nAnswer: 512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 46*l**3 + 6*l**2 - 31. Let t(q) = -91*q**3 - 13*q**2 + 60. Let a(d) = 13*h(d) + 6*t(d). What is the first derivative of a(b) wrt b?\nAnswer: 156*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3577, -7615, -11653, -15691, -19729?\n\"Answer: -4038*l + 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 35?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -115913*f**3 + 547*f + 637304626.\nAnswer: -347739*f**2 + 547","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10\/23? (a) -2 (b) -0.4 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 40\/6 - 2\/(-6). Suppose 3*l + 15 = 0, 3*k + p = -8*l + 3*l. What is the third derivative of 15*x**6 - 5*x**k + x**2 - 3*x**2 + 14*x**2 wrt x?\nAnswer: 1200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1491198055 to 2 decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17352552 and 21?\nAnswer: 17352552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 325*m = 353*m - 140. Solve -17 = -m*v - 32 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -61\nAnswer: 5\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 + -22. Calculate the highest common factor of 117 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 998600 is divided by 46?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4918 + ((-1)\/1 - 1). Suppose 0 = 7*j - 313 - c. Suppose j = 3*o - 0*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 10*g - 9. Let a be o(13). Which is smaller: a or 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 0, -2, 8, 36, 88, 170?\n\"Answer: g**3 - 9*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25702322 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26889457 and 0.01?\nAnswer: -268894.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (152\/2204)\/(4\/(-93)) and 55\/203?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -3*v**4 - 165*v**3 + 171*v**2 + 165*v - 168 = 0.\nAnswer: -56, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3 - 9698*o**2 - 87100*o + 96800.\nAnswer: -2*(o - 1)*(o + 10)*(o + 4840)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.22, -3, -0.3, -366521?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.5192 - -0.4692. Is -43 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, b: 3}. What is prob of picking 2 k and 2 b?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-55386)\/(-6) + 0 - 2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 6*x + 12. Is (2 + 0)\/(x\/21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m + 6. Let x be n(4). Let v be (-3)\/x*20 + 1. Suppose -3*f + v = -7. What is the highest common factor of f and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -3\/2, 1304?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272)*5 + 2*sqrt(425).\nAnswer: 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -147*i**5\/5 - 693*i**4\/2 - 949*i**3 + 990*i**2 - 300*i + 51. Find o, given that t(o) = 0.\nAnswer: -5, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 29\/2 of a tonne?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6255.02206 - 6255. What is z rounded to three decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.31 and 2.39.\nAnswer: 7.9109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-2 - 2)) + 3 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/(-6)*(-1017)\/36 and -41\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 854 - 1521. Let a = 668.09 + f. Sort -4, 0.1, a in descending order.\nAnswer: a, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**2 - 8*w - 2. Suppose 0 = -t - 3, 2*v + v + 3*t = 9. Suppose 1 = z - 4. What is the remainder when o(v) is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206492.\nAnswer: 2, 11, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 7*a - 13. Let y be t(9). Find the second derivative of -y*n + 8*n - 5*n**5 + 0*n + 2*n wrt n.\nAnswer: -100*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1625\/552 - 54\/23. Find the common denominator of -121\/12 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/39 - (-13 + (-3913)\/(-169)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + o**2 + 22*o + 182. What is y(-8)?\nAnswer: -442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 60 = f - 4*f, -c - 4*f = -15. Suppose -4*b + c = -1. Suppose y = -b*y + 20. Is y a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*c + 6055 + 6407 = 51*c for c.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m**3 - 15*m**2 + 21*m - 15. Let v(u) = -5*u**3 + 15*u**2 - 28*u + 14. Give 4*l(b) + 3*v(b).\nAnswer: b**3 - 15*b**2 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 95951*h**4 - 33505*h wrt h?\nAnswer: 1151412*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 29.10985 hours?\nAnswer: 104795460000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 14*b**2 + b - 10. Suppose 67 = c + 4*c + 3*a, -5*c + 65 = 5*a. Let n be k(c). Solve 0 = 2*d - n*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -16, 4*k = -4*v - v + 120. Calculate the remainder when 69 is divided by k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -15670, -1.\nAnswer: -15670, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2463\/11 + 224. Which is greater: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 57*u + 18*u + 36*u - 19)*(-3*u**3 + 0*u**3 + 7*u**3) in the form s*u**2 + m*u + t*u**4 + o*u**3 + w and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o - 14. Give z(-5).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 40*d**5 - 6715*d**4 + 267640*d**3 + 1189400*d**2 + 1327840*d + 147920 = 0. Calculate d.\nAnswer: -2, -1\/8, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1930 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -100110001100000110111 (base 2) in base 14?\nAnswer: -248087","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1632767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 - 4*o**2 + o**2 + (-13*o + 5*o + 5*o)*(0 + 0 + 2*o) + (3 + o**2 - 3)*(-238 - 20 - 173).\nAnswer: -438*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 340529\/62 + -5493. Let p = k - -3\/31. Which is the closest to 0.1? (a) p (b) -3\/8 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6039.1 + -6039. Is -28.76 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 800 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1501542, -1501539, -1501536?\n\"Answer: 3*x - 1501545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -10*u**2. Let l(n) = 51*n**2 - 116. Determine l(y(r)).\nAnswer: 5100*r**4 - 116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of r**4\/4 + 8*r**3\/3 + 3*r**2 - r + 22. Determine v(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 126.810632475 - 17.810631885. Let n = -109 + l. Round n to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 - 39293020678489?\nAnswer: -39293020678489.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28 in 10, -2\/7, 1\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38099, -152395, -342851, -609455, -952195, -1371059, -1866035?\nAnswer: -2437111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-1 - (1 + -5) - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23564?\nAnswer: 2, 43, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 16, 0*g - 16 = j + 4*g. Which is smaller: 3\/259 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - y - 158842, 225*y - 230*y = -3*l + 95292. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*m = -158*m + 111*m + 183 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 324 is divided by 65.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 448643 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 333*t - 331*t - j, 3*t - 15 = 3*j for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x - 1. Let g(h) = -h - 1. Let f(l) = g(l) + 2*p(l). Let j(i) = -4*i + 14. Suppose -4*u = -30 - 26. Give u*f(t) + 3*j(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/5087 - -7086197\/15261. Let t = f - 456. Find q such that -1\/3*q**2 + 10\/3*q - t = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1215 and 17010.\nAnswer: 17010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 124 - -42256022?\nAnswer: 42256146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 20 = -11*b. Let t be (32\/40)\/((-1)\/b). Suppose 5*k = -2*l + 19, -6*l + 4*l + 1 = -k. Calculate the highest common factor of t and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9271, -18561, -27849, -37135, -46419, -55701, -64981?\nAnswer: -74259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15445 is divided by 644?\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 981 = 2183. Let g be (-1)\/(-4) - u\/(-222). Let d = g - 158\/37. Calculate the common denominator of -83\/22 and d.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.03561 - 0.020711. Let j = 3.416199 - p. Let z = j - 3.4. Round z to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/5)\/(2*(-3)\/3)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 429 and 1287.\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 2\/3*3. Suppose 3 = -s, -u = -4*s - 24 - 0. Let y = v + u. Is y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46052051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-47)\/((-2021)\/688))\/(16\/64).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*t - 53*t = -95. Suppose -3*g - t*q = -364 - 733, -g - 3*q + 371 = 0. Calculate the remainder when g is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*d + 33*d + 8 - 8 to h + l*d and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 82.83161 litres?\nAnswer: 82831.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1325153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 1. Let k(u) = u**2 - 2*u - 23. Let p(a) = -2*a**2 + a - 1. Let j(w) = -k(w) - p(w). What are the prime factors of j(c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 47 and -4.679.\nAnswer: -219.913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10338, 41095, 92268, 163857, 255862, 368283?\nAnswer: 501120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**9\/d**(5\/3))\/((d\/d**(-1\/4))\/(d*d*d*d*d**6*d*d)) assuming d is positive.\nAnswer: d**(217\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 76395730 = 76395730?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 588269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 6*d**2 - 27. Let y be 21\/(-7)*(-4)\/3. Let f(x) = -x**2 + 4. Suppose 0 = 5*n - 3*n - 270. Suppose n = 2*g + 3*g. What is g*f(r) + y*c(r)?\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 69342*q - 336. Let k(n) = -1035*n + 5. Calculate 5*a(b) + 336*k(b).\nAnswer: -1050*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -16.8 (b) 98\/9 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7156292?\nAnswer: 2, 11, 13, 12511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -600*f**3*y + 5*f + 126*y wrt f?\nAnswer: -3600*f*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -f**7\/21 + f**4\/4 + 2*f. Find the third derivative of o(s) wrt s.\nAnswer: -120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 + 55*s + 49. Suppose 276 - 164 = -4*r. Calculate the remainder when m(r) is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -500365 (base 8) to base 12\nAnswer: -7ab59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + l + 223 = 207, -5*c = 5*l - 175 for c.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -0.055, -4 in increasing order.\nAnswer: -4, -3\/5, -0.055","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*i**3 + 266*i**2 - 6*i**3 + 571*i**2 - 837*i**2.\nAnswer: 17*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 18 (b) 0 (c) 0.5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (68\/85)\/((-1)\/5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 46*v - 21. Let f be r(6). Suppose 11*k = 537 + f. Suppose -93 = -5*a + k. List the prime factors of a.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 516108 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dwrddrdrrrwrdrwrddr. What is prob of sequence rrrw?\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 46 - 46 = 0. Let o = -40 + j. Suppose 4*t + 11600000 = o*t. What is t rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 7:18 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/7626 and -71\/183210.\nAnswer: 7511610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, -2\/3, -4.76?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2444*h**3*p + 52*h**3 + h + p + 50 wrt p?\nAnswer: -2444*h**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*c + 48*c + 66*c - 225*c.\nAnswer: -78*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0\/s)**(-1\/57))**(34\/7) assuming s is positive.\nAnswer: s**(34\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**3 - 1390*w**2 + 13714615*w = 0. Calculate w.\nAnswer: -1801, 0, 1523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 21*s**3 - 9*s**2 + 12. Let d be 0 + 0 - 5*(-105)\/(-25). Let b be (-2 + -1)\/(-8*d\/112). Let z(p) = -5*p**3 + 2*p**2 - 3. Determine b*c(v) - 9*z(v).\nAnswer: 3*v**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 375*q**2 + 401*q**2 - 198*q**2.\nAnswer: 578*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -327192 - 41.\nAnswer: -327233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 12:57 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 166067862, 332135724, 498203586, 664271448?\n\"Answer: 166067862*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10932*h**2*t - 5529073*h**2 - 2*h*t - 37*t with respect to t.\nAnswer: 10932*h**2 - 2*h - 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 1393*r**2 + 129*r + 1413. Is g(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2569651, 2569650, 2569649?\n\"Answer: -f + 2569652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h + 2. Let i be a(-3). Calculate the common denominator of (114\/27)\/(i\/15) and (80\/6)\/(3*-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*s = -61 - 43. What is the smallest common multiple of s and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -5.828?\nAnswer: 0.5828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*v - 210 - 133 = -1387 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/(0 + -1))\/(1106 - 1110). Let j(a) = 3*a**2 - a + 0*a**3 + 3 + 3*a**3 - 4*a**3 - 4. Determine j(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + 3 - sqrt(1008) - (-6*2*sqrt(7))**2)*-3.\nAnswer: 3015","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/2))**(-34)\/(l**(1\/16)*l*l*l)**(3\/22) assuming l is positive.\nAnswer: l**(5837\/352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -114 - -126. Solve 5*x + 24 = 3*d, -d + 0*x = 5*x + p for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 656 and 2?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 145 and 174.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -17 (b) -3\/176 (c) 5\/3 (d) 5 (e) -8\/9 (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.0309, 2\/17, -0.1?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135, -63, 391, 1395, 3117, 5725, 9387?\nAnswer: 14271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 22 = 5*x, s - 139 = -5*x - 146 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 4*k**2 + 7*k - 19. What is z(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 122993519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 1027*h**2 - h + 4. Let r(x) = 4*x. Determine t(r(n)).\nAnswer: 16432*n**2 - 4*n + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/(-3) - (-3 + 3). Is -2 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24020 (base 5) to base 2.\nAnswer: -11011100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2982 + 2971.28. Let y = -34 + 22.3. Let g = u - y. What is g rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -r, -2*k - r = -0 - 15. Suppose -k*z + 80 = s - 187, s + 4*z = 269. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 17 = 5. Let g = -6 + 28. Let k be (g\/6 - 3)*3. Solve 2*j = -k + b for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 869202437 a multiple of 6204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-21) - (-260)\/(-84). Let o = a - -7. Suppose -81 - 587 = -o*r. What are the prime factors of r?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*z = 70*z. Let d = -3 + 2. Sort d, 1, z in increasing order.\nAnswer: d, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 12 + 33. Suppose -2*d - 14 = -4*u, -d + o = 4*d. Suppose 0 = u*p - 2*p - 18. What is the smallest common multiple of p and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 88*n - 34 + 123 + 87 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 20, 4, 5, -1.\nAnswer: -3, -1, 4, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 127142976 and 192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 1:58 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 11:03 AM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 147722 > 295445\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19225*y**2 + 8857*y.\nAnswer: 38450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 23*f**2 - 4. Let b be c(-4). Suppose -6*w = -2*w - b. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g = 38*g - 75. Solve 5*p - 15 = -5*l + 3*p, -g*l - 5*p = -9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -i + 3*i. Solve 2*d = 7*d + i for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4316*k**3 + 1950*k**2 - 221*k. Let i(v) = -1439*v**3 + 650*v**2 - 68*v. Let d(p) = -13*i(p) + 4*z(p). Find the third derivative of d(a) wrt a.\nAnswer: 8658","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 1909 = 1927 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27719 and 1325.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -9*o**3 + 36*o**2 + 196*o + 151. Let x(z) = 8*z**3 - 36*z**2 - 196*z - 152. Let k = 629 - 634. Let c(m) = k*x(m) - 4*i(m). Factor c(y).\nAnswer: -4*(y - 13)*(y + 1)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/1133520825 or -1?\nAnswer: -2\/1133520825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1709?\nAnswer: 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**3 - 17*a**2 + 7*a - 24. Give i(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-22 + 700\/32)\/(1\/(144\/(-20)))\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7, 0.6, 33056.\nAnswer: -7, -1, 0.6, 33056","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1284132211 is divided by 91.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4100 by -38.\nAnswer: -2050\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2*r + 5*k - 71, 3*k = -3*r - 75. Let n be (0 + 0)\/(56\/r). Suppose -5*m - 3*y = -m - 478, n = 3*y + 6. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-450)\/40)\/(-3)*(-176)\/(-297)\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, p: 4, i: 1, f: 1, v: 1, h: 8}. Give prob of sequence vfi.\nAnswer: 1\/3360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (-2 - -4)) + 0 + -8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -77 + 657*s**2 + 650*s**2 + 34*s - 1305*s**2 + 145. What is g(-14)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 5*f**2 + 4*f - 3711. Let j(x) = 571*x. What is z(j(u))?\nAnswer: 1630205*u**2 + 2284*u - 3711","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2421 (base 13) to base 5.\nAnswer: 130342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + -0.0077.\nAnswer: -5.0077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 4*c + 22 = -3, 2*y - 3*c = -13 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145*b + 145*b + b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 45566 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 59252012.283?\nAnswer: -59252014.283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 5*m = 3. Suppose -m*l = -34 - 2. Calculate the remainder when 59 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 10*s**2 + s - 7. Let x be d(10). What is the second derivative of -o + 8*o - 28*o**x + 26*o**3 wrt o?\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19481 - -62193. What is the thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/4*16\/4. Suppose -v*d + 7*d = 0. What is the third derivative of -3*g**3 + 5*g**2 + d*g**3 + 3*g**3 + 16*g**3 wrt g?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 1. Let l = 18 + -10. Let p = l + -5. Which is greater: p or v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 408*j**4 + 40*j**3 + 2052*j**2 + 158532784*j wrt j?\nAnswer: 4896*j**2 + 240*j + 4104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/7, 5, 11073, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -212*t + 4826 + 1926 - 392 for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*v**3 + 144*v**2 - 61*v**2 - 5793*v**3 - 83*v**2.\nAnswer: -5907*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {k: 2, t: 10, b: 4}.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.7 + 3.1. Let v = z + 4. Let f = v + -5. What is the third biggest value in 5, f, 0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 17 = 33. Is -1 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4444783 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 38636 divided by -126?\nAnswer: -19318\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 - 246*z**2 - 20172*z - 551368.\nAnswer: -(z + 82)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 7*t**3 + 13*t**2 + 10*t + 3. Let y(x) = 6*x**3 + 12*x**2 + 9*x + 4. Let m(h) = -5*a(h) + 6*y(h). What are the prime factors of m(-6)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 3 in descending order.\nAnswer: 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -i**7\/210 - i**6\/120 + i**5\/120 - i**3\/2 + 4*i. Let k(o) be the second derivative of z(o). Suppose k(j) = 0. Calculate j.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 2. Let d = i + 0. Let m = 31 + -26. Which is the closest to d? (a) 1 (b) m (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111001000111101011 + 100?\nAnswer: -111001000111100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -70625869256 plus 0.03?\nAnswer: -70625869255.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-2\/9)*p\/(p\/p**(4\/7)))\/(p**2\/p*p**8) assuming p is positive.\nAnswer: p**(-454\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 37.16, 5, 0?\nAnswer: 37.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 178716, 355885, 533054, 710223, 887392, 1064561?\n\"Answer: 177169*u + 1547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 2*m**2 - 2*m - 3. Let z be q(-2). Let x be 5 - (z + -2 + 3). Suppose -p + x*p - 10600000 = 0. What is p rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 368667264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of z**3 + 62*z + 7. Let t(g) be the first derivative of i(g). Let f(w) = 7*w**2. Calculate f(t(u)).\nAnswer: 252*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -13*k**3 - 2*k**2 + 2*k - 1. Give r(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 510 + -12015232?\nAnswer: -12014322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21682 is divided by 5415?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -265.138 + 266. Let w = -0.86793 + p. Round w to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, o: 3, t: 2, a: 4}. Give prob of sequence aoo.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = f + 4*f + 5*z, 9 = -3*f + z. Let v(o) = 4*o**2 + 23. Let p(t) = 21*t**2 + t + 114. Let a(s) = f*p(s) + 11*v(s). List the prime factors of a(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-1930)\/(-20) + (1 - 2\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1015, 2061, 3123, 4207, 5319, 6465, 7651?\nAnswer: 8883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*o - 159*o = -l + 1, 0 = -o + 3*l - 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-96)\/(-9) - 190\/114. Let o be (30\/v)\/(-4 + 58\/12). Suppose 0 = -2*d + 4*d. Solve -o*i + 16 = -d*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 132 = c. Let o = c + -673\/5. What is the second smallest value in -2\/3, -4, o?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 2*v + 15 = 0, -5*d + 12*v = 8*v + 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5*(3 + 36\/(-10)). Put -3, -4, j in descending order.\nAnswer: j, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1476.2 and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1)**(-1)\/(a**(-1))**(-17\/3) assuming a is positive.\nAnswer: a**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2026 by -1013.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 46, 42, 40, 40, 42, 46?\n\"Answer: l**2 - 7*l + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14 - 10114a7?\nAnswer: -10114bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2856179 to the power of 1\/2, to the nearest integer?\nAnswer: 1690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 57659 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 9 = 2*v, -4*r - 21 - 11 = -4*v. Solve v*i + 18 = -2*f, -3*i - 2*i = 4*f + 32 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 215 + 115. Let r be ((-2)\/(-4))\/((-11)\/o). Suppose 0 = -r*s - 5*i + 190, i = 2*s + 2*i - 115. What are the prime factors of s?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -144 - -150. Solve -k*c = -c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11891549?\nAnswer: 19, 625871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6794 + -6794. Let v be ((-2)\/(-3))\/(2\/9). Suppose v*a - 12 + 0 = 0. Solve g = 3*d - a*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1152 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -126*o**2*r - 20*o**2 - 2*o*r + 5*o - 2*r + 70885 wrt o?\nAnswer: -252*o*r - 40*o - 2*r + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32649801?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1531 is divided by 306.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*j**3 - 4*j**3 + 7*j**5 - 3*j**3 + (-3*j**4 + 4*j**3 - 4*j**3)*(2*j + 2*j + 0*j).\nAnswer: -5*j**5 - j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 9*l**2 + 10*l + 4. Let d be f(-10). Let y = 6 - d. Let p(z) = 0*z + 3 - z + z**3 - 4 - 2*z**2. Determine p(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 564*b + 39088 = 562*b. Is b\/42*(-6)\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -a + 2, -4*a - 2*z + 0*z = -8. Suppose -271 = -l - a*j, -1934 + 561 = -5*l - j. Is l a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 264\/(-2156)*-140*(-392)\/350*-5.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-76)\/56 - (-1)\/2)*(-36)\/24. Factor -w*d - 3\/7*d**2 + 0.\nAnswer: -3*d*(d + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)*-2*1)\/(sqrt(24)\/sqrt(2)*6) + (sqrt(1539) + -1 + -3)**2 + (2 + sqrt(1539) + 5 + sqrt(1539) + sqrt(1539))**2.\nAnswer: 917*sqrt(19)\/3 + 15455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11 - -2) + (-2 + 2)*1. Let a(f) = f**2 + 10*f + 12. Let r be a(v). Let h be 1\/(98\/(-32)*-1 - r). Solve 2*o = -5*u - 2*o - h, 16 = -4*u - 4*o for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*w - 146*w = 136. Is w a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 - 9. Suppose 0 = y, 0 = g - 2*g + 2*y + 6. Calculate the lowest common multiple of g and o.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -481, -1, -281313.\nAnswer: -281313, -481, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -8 (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/638 and 49\/416152.\nAnswer: 12068408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 52*u**2 + 353*u + 43. Let x be p(-44). Let b be 0 - (-4 + 2 + -2). Put x, b, 3, -4 in ascending order.\nAnswer: -4, x, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11334 (base 12) in base 4?\nAnswer: -11212120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -71103 - -71089. Suppose -5*p - 16 = -2*g + 15, g - 5*p - 28 = 0. Let t be ((-3)\/(g\/2))\/(-7). Which is greater: z or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144 divided by 2812.\nAnswer: -36\/703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*u**4 + 55*u + 41*u + u**2 - 93*u as t*u + v + k*u**4 + f*u**3 + q*u**2 and give k.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 1, 5, -1.\nAnswer: -17, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.7 - -5. Let o = 17717\/57 - 5893\/19. Which is the smallest value? (a) o (b) 1\/7 (c) n (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 24 = -q - d, -39 = -3*q - 4*d. Put 1, -5, q, -4 in ascending order.\nAnswer: -5, -4, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2335, 11027, 25507, 45769, 71807, 103615, 141187, 184517?\nAnswer: 233599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 54*w - 59*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 divided by -5?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 + (1 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7938 and 23373.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from ppppppppppbp?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 113 (base 11) to base 4\nAnswer: 2013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4\/1890809?\nAnswer: -4\/1890809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 2*q - 0*q + 4*y, 0 = -4*q - 2*y + 86. Is 2\/12*q*3 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 3:19 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 7*f**2 + 7*f. Let n(k) = -2*k + 23. Let b be n(7). Let t be h(b). Let j = t - 126. Calculate the highest common factor of j and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 i when three letters picked without replacement from oohiiobfiboioohh.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 97.03114 seconds?\nAnswer: 97031140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 16. Suppose 5*u + 2 + h = 0, 0 = -5*k - 2*u + 368. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 335*h**2 - 96*h**2 - 56*h**2 - 55*h**2 - 58*h**2 - 67*h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -7. Suppose 0 = 4*l - 22 - 14. Suppose 3*w + l = -3*v, -w - 4*v - 8 = w. What is the third smallest value in w, 4, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n + n + 2*n**2 - 4*n.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*t - 112, 3*r = -5*t + 5*r - 139. Let q = t + 38. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127988387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -40.004 to one dp.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4579, -4586, -4601, -4624, -4655, -4694?\n\"Answer: -4*r**2 + 5*r - 4580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3.36 (b) 0.5 (c) -5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2930865531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 13*f - 2. Let w(i) = 24*i - 4. Let k(v) = 7*l(v) - 4*w(v). Let r(g) = -41*g + 86*g - 44*g. Let h = -1 - 0. Determine h*k(s) - 6*r(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338 is divided by 330.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2272044.\nAnswer: 2, 3, 189337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2*i = -2*l + 152, -3*i = 2*l - 164. Let h = l + -77. Find x such that 0 - 2\/3*x + 2\/9*x**h = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + h = 8 - 12, 4*h = 5*i - 16. Factor -2\/7*s**2 + i*s + 0.\nAnswer: -2*s**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3770\/9 - -418. Let y = 41\/36 + x. Let n = -9 + 13. Which is the second biggest value? (a) -4 (b) n (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*z + 6*z + 5*z + 2*p - 2 - 4, -69*z + 5*p - 89 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 165?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4330, -17327, -38988, -69313, -108302, -155955, -212272?\n\"Answer: -4332*h**2 - h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 - (27 + -20 + (4 - 4 - 22)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1203\/119 + -14\/17. Suppose 48 = 28*l - 22*l. Is l less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**2 + 1 - 3*m**2 + 0 + 53*m - 47*m. Give v(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 16*q**2 - 15*q + 20. Let x be r(15). Solve 5*z - x = 0, -3*u = -4*u - 5*z + 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x - 4 + 4 + (3*x - 5*x + 0*x)*(3 - 2 - 2) + x - 2*x + 3*x - 4 + 4 - 2*x + 0*x + 2*x - x + (-2*x + 1 - 1)*(0 - 3 + 2) in the form w + n*x and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*m**5 - 7*m**4 - 1225*m**3 - 2*m**2 - m + 57080.\nAnswer: 840*m**2 - 168*m - 7350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 4*m**2 + 4. Let w(x) = x**2 + 2*x + 1. Let t be w(-3). Let g be q(t). Let p be (g - 1)\/3 - 1. Let o(j) = -j**2 - 5. Calculate o(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.215 + 1.215. Let j = 1.1 + -6.1. Let v = j - -9. Which is the nearest to t? (a) 0.4 (b) -1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 5*x = -10. Suppose 0 = -2*f + 3*a, 4*f - 3*a - x - 4 = 0. What is h in 3\/2*h**f + 0 - 5\/2*h**2 + h = 0?\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 25604, 25494, 25312, 25058, 24732, 24334, 23864?\n\"Answer: -36*j**2 - 2*j + 25642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -6.0025. Round h to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhohomvh. Give prob of picking 1 o and 1 h.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -1878\/6623?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 194479 to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qvr when three letters picked without replacement from tyqvyvr?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 2 - 10. Let g(c) = c**3 - 6*c**2 - c + 4. Let j be g(6). Calculate the lowest common multiple of 12 and j\/w + 20\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 7*u**2 + 2*u + 4. Let c = 500 - 495. Let a(h) = -h**3 + 5*h**2 + h + 3. What is c*w(t) - 7*a(t)?\nAnswer: 2*t**3 + 3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -4*d + 35 + 5, w - 46 = -5*d. Suppose g = -d*g + 20. Solve f = -g*f + f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.4031 or 0.1?\nAnswer: 0.4031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 12956.4 to the nearest one hundred.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 3*f - 9, 4*f - 3 - 13 = 2*o. Let l(m) = 8*m + 24. What are the prime factors of l(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 5*m + 22, 4*i = 3*m + m + 8. Suppose -22 = -y + i. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 210123, 210124, 210125, 210126?\nAnswer: 210127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1064 is divided by 382?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/10)\/((-15)\/((-525)\/182)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybqbyybybyybqybbyyq. Give prob of picking 1 y and 1 q.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10691964 by 12564.\nAnswer: -851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 5*g + 2. Let c be u(6). Let s = c - -8. Let v(a) = -8*a - 4. Let k be v(-6). What is the highest common divisor of s and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 10:44 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence revd when four letters picked without replacement from {r: 6, d: 1, v: 2, e: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 33*g - 30*g + 24, m = -3*g - 4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10.4 and -528.7.\nAnswer: 5498.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybvxbyvdvddd. What is prob of picking 2 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*f - 19 - 9 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 9*p + 8. Let h be d(-4). Let w = -18 - h. Solve -b - 4*b - w = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + a = 12, 5*a + 0 = 20 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/4)\/5*(-30)\/(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12810566952\/17 - -820491190304863\/1088816. Let p = -2\/4003 + r. Find the common denominator of 498\/224 - 4\/14 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2720*b**4 - 100*b**3 + 9*b + 3399499 wrt b?\nAnswer: -10880*b**3 - 300*b**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 14.4 times -74456\nAnswer: -1072166.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 174 = -78. Let w be ((p\/6)\/(-7))\/(-3). What is the nearest to w in -1\/3, 5\/2, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1596106579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 5*s. Let q(v) = 2*v + 11. Let t be q(-4). Let m be 6*(-8)\/(-12)*t\/(-6). Let b(y) = -20*y. Give m*b(h) - 9*d(h).\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13043 - -18553. List the prime factors of m.\nAnswer: 2, 5, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 916 = -3*x, -2*x - 311 = -f + 291. Let p be (-2)\/3 + x\/(-3). Suppose 0 = -5*a + 5*b + p, -2*b - 60 = -3*a - 4*b. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.03454mg to kilograms.\nAnswer: 0.00001303454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.4 * 3794.\nAnswer: 9105.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 745492 + 3*x**2 - 745492.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -120022100201 (base 3) in base 4?\nAnswer: -1021210123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + i - 473*q - 474*q + 951*q = 22, -8*i + 4*q = 44 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19701 - -8467. What is r rounded to the nearest one hundred?\nAnswer: -11200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 2:59 AM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -1\/4 (c) -0.3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*o - o - 4, k + 3*o - 10 = 0. Let j = k - -13. Let c = 20 + 5. What is the remainder when c is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 3 + (1 + 1 - 4)*(1 - 1 - 2) - 2 + 1 + 2 + 0 - 2 + 1 + 1 - 15 - 1)*(8*t**5 + 7*t**5 - 169*t**5).\nAnswer: 2002*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*k - 1176 - 418 - 1240 = 0 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -926 + 1726. Is s greater than 804?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.352 + 0.048. Let d = -1 - -3. Suppose -2*f - 5*x - d = -0, 2 = -2*f + 3*x. Which is the third biggest value? (a) y (b) -2\/11 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -57*n**2 + 562*n + 121. Let c be h(10). Solve -87*g - 133 - c = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 49098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: c77210 (base 13) to base 10\nAnswer: 4671173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x = -9*x + 668. Let f = x - -298. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-2))\/(((1701\/(-28))\/(-27))\/(6\/(-4)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-54)*3*1461. Let r = 720 - i. What are the prime factors of r?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -136324 divided by -77?\nAnswer: 136324\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -aa178 (base 11) to base 8\nAnswer: -470266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8.3893728231+0.5\nAnswer: -7.8893728231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 10:28 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/(-7) + 4\/(-14). Let f be -10 + 22 - -1*6. Suppose -20*y = f + 42. Which is the third smallest value? (a) 5\/3 (b) y (c) 1\/6 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lv when two letters picked without replacement from {v: 2, z: 1, w: 2, n: 1, l: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/21)\/s*s)\/s*s)**(1\/3)\/(((s*((s**19\/s)\/s)\/s)\/s)\/(s**(-14)*s)) assuming s is positive.\nAnswer: s**(-1825\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 216076683 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = r - 7, 3*r = 4*r - 2. Let a(i) = 2*i + 6 + 5*i - 5. Calculate a(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 607 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5635 (base 7) to base 10.\nAnswer: 2035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d. Let g(c) be the second derivative of 1\/2*c**2 + 4*c + 0 + 1\/6*c**3. Let f(w) = -16*w - 17. Let k(s) = 6*f(s) + 102*g(s). Give o(k(n)).\nAnswer: 18*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -240 divided by -80?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*n**4 - 8*n**4 + 10*n**4)*(-4 + 2 + 13).\nAnswer: 121*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 896 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260*u = -242*u - 126 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*p + 3958 = -2765. Let m = p - 244. Calculate the lowest common multiple of 466 and m.\nAnswer: 2330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15968256*s**5 - 2*s**4 + 2351595*s - 47 wrt s?\nAnswer: 319365120*s**3 - 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -5*r**2 + 15*r - 25. Let l be s(2). Let p(z) = 2*z**2 + 32*z + 21. Determine p(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**19*g*g**(2\/5)*g)\/((g*g**(-1))\/((g*g*g**(1\/3))\/g)))**(-36) assuming g is positive.\nAnswer: g**(-4272\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 217.4412 + -217. Let u = 0.44 - j. What is u rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 8:16 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 8*g. Let r(l) = -2*l - 3. Let i(c) = 3*c + 5. Let o(f) = -3*i(f) - 5*r(f). What is o(h(q))?\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -614*g + 223. Is f(-35) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 78*u. Let g(n) = -7*n**2 - 10*n - 5. Let f(x) = 3*x**2 + 4*x + 2. Let o(h) = 15*f(h) + 6*g(h). Determine z(o(p)).\nAnswer: 234*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 1740?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of b**2 + b + 1. Let i be d(1). Suppose -2*l + i = -l. Is 3 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8599284, -17198583, -25797896, -34397229, -42996588, -51595979?\n\"Answer: -c**3 - c**2 - 8599289*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11648)\/(-4160))\/((-14)\/80)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*l + 692 + 2738 = -2590 for l.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80256, 320994, 722218, 1283922, 2006100?\nAnswer: 2888746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108\/26 - 8*(-1)\/(-2).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-37939)\/(-44))\/(7\/28).\nAnswer: 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 2, -0.4, -0.96, -3, 1540 in decreasing order.\nAnswer: 1540, 2, 0.5, -0.4, -0.96, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19670 - 19663. Suppose -4*u - 5*l + 641 = 0, 2*l - 3*l + 1 = 0. What is the smallest common multiple of u and x?\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22787.\nAnswer: 22787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/2)\/(14\/(-1085)). Let v = o - 265\/4. What is the common denominator of 27\/5 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-68)\/20 - -3)*(0 - -5) + (-459)\/(-136)?\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86183263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1*(-1)\/4*28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 955 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/191955 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -24 (b) 3\/2 (c) 2 (d) 37 (e) 58\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*u**4 + 8*u**4 + 251*u**3 - 71*u**3 = 0.\nAnswer: 0, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 201*(0 - (-2 - -1)). Let l = q + -124. Suppose -2*d = 3*r - 52, -2*d - d - 4*r = -l. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-26)*h*h**6*(((h*h**(-19))\/h)\/h*h)**25)**4 assuming h is positive.\nAnswer: h**(-1976)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**2. Let z(o) = -o**2 + 10*o**2 - 4*o**2 - 6*o**2. Give 6*a(g) - 10*z(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3765473 is divided by 43773?\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4230 a factor of 829566450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152933858.\nAnswer: 2, 7, 11, 71, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) -118\/231 (c) 2 (d) -6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 1 (b) -1\/3 (c) -0.5 (d) -1\/4 (e) 4.2 (f) -0.07 (g) -29\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 10 = -3*s, 0 = 3*s + s + 4*u. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -0.4, -6703, 0 in descending order.\nAnswer: 0, -2\/11, -0.4, -6703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 353 - 5879 = -3*q, 3*q + 2*x = 5527. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7166 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by -232.\nAnswer: 15\/232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00092474284 to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5 = -u, u = 4*h - 1 + 17. Let q be 34\/u - 1\/(-2). Let z(x) = x**3 - 8*x**2 - 7*x - 4. Is 14 a factor of z(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -k**4\/12 - k**3\/2 + k**2. Suppose 5*m - 10 - 10 = 0, -12 = 2*q - 3*m. Let b be h(q). Put 4, b, 2 in descending order.\nAnswer: 4, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/15960 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 294 a factor of 579232795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (3465\/(-3564))\/((-240)\/(-1536))\nAnswer: -56\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -135 - 149 + 290 + 12*i**2 - 94*i**2 to a + f*i + b*i**2 and give b.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 5:40 AM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -36*y + 301. Let u be r(8). Solve -7 = -2*t + 5*f, 0 = t - 3*f + 6*f + u for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9117?\nAnswer: 3, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4, 5*l - 5*k = 2*l - 11. Let s be (-5)\/(-2) + l\/6. What is y in 16*y + 25*y**2 - 25*y**2 - y**3 - 12*y**2 - 3*y**s = 0?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28863?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 622.8 - 623.1. Let p = -18\/5 + 29\/15. Which is the second biggest value? (a) p (b) 0.03 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q**3 - 7*q**2 - 7*q + 7. What is g(-3)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 8:42 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (34\/10)\/((-42)\/(-70))*-3. Let y(n) = -9*n - 52. What is the hundreds digit of y(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/32 and -115\/16722792?\nAnswer: 66891168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 13*h - 123. List the prime factors of n(27).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttttt. What is prob of picking 4 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 398830605 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: 12 divided by -54\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -6.95. Let y = i + 0.038. What is y rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(-6)*(-258)\/(-86) + 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -0.71?\nAnswer: -0.213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10648 and 7117.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**2 - 51 - 78 + i**2 + 124 - 2*i. Let t(p) = -6*p**2 + 3*p + 9. Let h = 5 - 8. What is h*t(l) - 5*g(l)?\nAnswer: 3*l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-79)*(152\/(-114))\/(4\/6).\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -3*p + 3, -14 = q - 3*q + 4*p. Suppose -2*r = -q*r + 2. Solve -r*n = n + 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**4 + 4*c**4 + c**4 + (c**3 + 2*c**4 - c**3)*(1 - 1 - 1) + 257*c**2 - c**4 - 257*c**2 - 2 + c**4 + 4 - 3*c**4)*(31*c - 8*c + 3*c).\nAnswer: -104*c**5 + 52*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1461 by 104365.\nAnswer: 1461\/104365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 606056 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -t - 5, 3*m - 2*t - 12 = -m. Let j be 9\/12*m\/2*8. Suppose -9 = -j*x - 3*v, -x - x + 2*v = -10. Calculate the remainder when 15 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 94 divided by -1665\nAnswer: -94\/1665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -5*o**2 + 7*o + 25. Let v(k) = 11*k**2 - 16*k - 55. Give 6*v(d) + 13*y(d).\nAnswer: d**2 - 5*d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 0.4 (b) -1 (c) 2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 386 times -952\nAnswer: -367472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -z + 6*z. Let x be z\/(-12) - (-3)\/9. Suppose x*h - j - 105 = -0*h, -j = 5. Is 10 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m**3 - 4*m + 7. Let b(l) = -l**3 + 1. Suppose -160 - 87 = -36*r - 31. Calculate r*b(q) - d(q).\nAnswer: -2*q**3 + 4*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001135787 rounded to 7 dps?\nAnswer: 0.0000114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -40 - (-92 - -30) - 41\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/5 (b) -1 (c) 11 (d) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -6699.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 805 and 7889.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -113552?\nAnswer: -113553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13014538 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 6:50 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 3*w - w + 6 + 6*w**2 - w. Let y(z) = 8*z**2 + z + 7. Let t(d) = -7*l(d) + 6*y(d). What is the second derivative of t(v) wrt v?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/120)\/(2\/24*2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 122211 (base 4) to base 6\nAnswer: 11513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 6:45 PM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.007, 3, -4, -1?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + 366?\nAnswer: 365.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/2 (b) -301 (c) -2 (d) -0.3 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 212 divide 274156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1042133335 (base 6) in base 11?\nAnswer: -6420292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t + 667 = 697 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 3*d = 44, -2*w - 2*d - 112 + 128 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 10:01 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163 + 9 = -4*x. Let m = 254 - x. List the prime factors of m.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -55*y**2 - 11*y. Let z(g) = -11*g**2 - 2*g. Let n be ((-22)\/10 + 0)*(-20)\/(-4). What is n*z(k) + 2*j(k)?\nAnswer: 11*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 11:56 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 111 and 6084.\nAnswer: 225108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 53958 a multiple of 350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.58145 - 0.588. Round v to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 700149 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6450499?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(-2) + 51\/(-34) - -194. What is the highest common divisor of 38 and u?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68777?\nAnswer: 68777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129793?\nAnswer: 129793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 5:27 PM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8, 14, -4 in ascending order.\nAnswer: -4, -3, 8, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (4 - -20 - -5 - (3 + 2))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-5))\/3*(-24)\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00032998695 rounded to 5 dps?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*y + 2 = q + 38*y, -5*q = y - 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -cd2?\nAnswer: cd1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/3*52\/728?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33443*x**2 - 8465*x**2 + 8987*x**2 - 21947*x**2.\nAnswer: -54868*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**4 - 3*q**2 + 3*q**2 + (q - 1 + 1)*(0*q**3 - q**3 + 0*q**3) - q**4 + 3 - 3 - 2*q**4 - 4 + 4 - 4*q + q + 4*q + 2*q**4.\nAnswer: -3*q**4 + q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + h - 4854 = -m, -4*m + 6458 = -h. Is m a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64 + 34. What is g rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/15 in -1, -0.3, 2\/51, -1\/4?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5608.\nAnswer: 2, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6*(-1 + 14\/12). Suppose 6*m - 18 = -2*o + 3*m, -m = -o - z. Factor -3*h**o + h**2 - 32*h**4 + 0*h**3 - 2*h**5 + h + 27*h**4.\nAnswer: -h*(h + 1)**3*(2*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 13) to base 5.\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 210079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 752607 - 380607. Round i to the nearest ten thousand.\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(11))*-5*-4)**2*-6 + 6*((sqrt(1100) + (sqrt(1100) + 0)*6 + sqrt(1100))**2 - sqrt(1100)).\nAnswer: -60*sqrt(11) + 396000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(((-10)\/((-6)\/3))\/(1197\/(-133))). Let g(i) = -3*i - 34. Determine g(m).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(3\/26)*f\/((f*f*f**28)\/f)*(f**(-7\/4))**(-2\/31) assuming f is positive.\nAnswer: f**(-11192\/403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -168158*y. Let h(i) = 1515*i. Calculate 332*h(v) + 3*p(v).\nAnswer: -1494*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + -1. Let r(u) be the first derivative of -u**4\/8 - u**3 - u**2\/2 + 2. Let b(c) be the second derivative of r(c). Determine b(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c + 20 = -6*c, 0 = 5*x + 2*c - 8 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 63?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 8:03 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 * 0.7\nAnswer: 0.007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 27, 2 in decreasing order.\nAnswer: 28, 27, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 10*u**2 + 7*u + 2. Determine c(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*z - 7*z - 897 = -17*z for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -40, -49, -64, -85, -112, -145, -184?\n\"Answer: -3*i**2 - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 925*c - 272487 = 489*c - 4031*c for c.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4411033 (base 6) to base 12\nAnswer: a6a79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 7*u - 9. Let d be s(2). Suppose 443 = 4*k + 4*y - y, -d*k - 4*y = -554. Calculate the greatest common divisor of k and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**3 - 3*g**2 - g + 2. Let k be b(-2). Let u = 14 - k. Solve -u = 3*o + 6 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 166229*l**6 + 71*l**5 - 10738*l**2 - 16841.\nAnswer: 19947480*l**3 + 4260*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -144, -0.1, 1\/3, 7, 1, 17, 2\/5 in descending order.\nAnswer: 17, 7, 1, 2\/5, 1\/3, -0.1, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1092538?\nAnswer: 2, 19, 28751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-6)*(-9)\/(-6). Let f(q) = 4*q**2 - 18*q**2 - 2*q - i + 0*q**2 + 18*q**2 + 2*q**3. Let r = -1 + -2. Give f(r).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 125*y**2 + 381*y + 11. Calculate s(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -v + 31. Let q(c) = 5*c + 30. Determine -30*k(s) - q(s).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 8100000 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007688 to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 6\/5 (b) -4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3)*f\/(f\/(f*f*f**(-3)\/f*f)))**28\/(((f*(f**(-2\/17)*f)\/f)\/f)\/(((f**0\/f)\/f)\/f)*f**(-1\/2)*f\/((f**(-6)*f)\/f*f)*f*f*f) assuming f is positive.\nAnswer: f**(-4195\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-7 + 1 + 7 - 3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 6:45 PM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (5 + -7))*(-2)\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 16*k**2 - 3*k + 3. Let q(g) = -g**2 + g - 1. Let f(z) = -3*q(z) - y(z). Let h be 5\/4 + 1575\/20. Let s(r) = -162 + r**2 + h + 82. Give f(s(a)).\nAnswer: -13*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3328378943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-202)\/(-910) - (-2)\/(-10). Let o = z - -160\/1001. Which is the nearest to -1? (a) 4 (b) 2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 115 = -29. Let z = n + 53. Let o(r) = -4*r + 1. Let p be o(-1). Solve 4*b + 5*f + p = 0, 2*b - z*f - 45 = -2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 4:21 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*c - 43*c = 18*c - 816. Calculate the remainder when c is divided by -3*3\/(1\/(-1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 5*t**2 + 3*t + 2. Let z be p(-3). Let w = -3 + z. Calculate the highest common divisor of w and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 192376 divided by 692\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 3 + (-72)\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 145bb9 (base 14) to base 16.\nAnswer: acbc7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 3*r**2 - 5*r + 6. Let l be x(4). What is the third derivative of 4*v - 2*v**l - 4*v - 3*v**6 - 3*v**2 wrt v?\nAnswer: -360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(1573) - (-1 + sqrt(1573)))*-4)**2 + -1) + -3.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3286 + -0.0286. Which is the third biggest value? (a) 4 (b) -0.078 (c) 0.5 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 248c7 (base 14) to base 5.\nAnswer: 10331201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 23 = -3*i + 49, -2*i + 34 = -2*b. Let l(u) = 5*u - 2. What is l(i)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/15*3\/2. Let h be (x - -1 - -2)\/1. Suppose j - l - 20 = h*l, 0 = 4*j + 4*l - 32. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**2. Let q(o) be the second derivative of 71*o**4\/12 + 1423*o. Determine t(q(s)).\nAnswer: -10082*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -404 (base 7) to base 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = n - 252. Let y(q) = -q**2 + 11*q + 19. Let u be y(12). Suppose -u*c + 90 = -2*c. Calculate the greatest common divisor of c and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58 - -60. Suppose -p*g - 3*g - 15 = 0. What is the tens digit of 1715\/20 + g\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*i + 126 = l, 4*l - 81 = -5*i. Which is smaller: l or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -10. Find the first derivative of 3*x**3 - 5*x**3 - 2 + f*x**3 - 3*x**3 wrt x.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10599414 take away -0.05?\nAnswer: -10599413.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40268656?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18230 + 18210. Which is the smallest value? (a) x (b) 3\/2 (c) -3\/7 (d) 0.04 (e) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30.4 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3656*l - 549. Determine i(0).\nAnswer: -549","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -346 - -4500\/13. Let k = 800.3 - -241.6. Let p = k + -1042. Which is the nearest to p? (a) 5 (b) h (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8423*l**4 - 1637*l**3 - 51677*l**2 + 654*l.\nAnswer: 202152*l - 9822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*k - 760 = 472 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 greater than -4368\/281?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/(-5))\/(-1))\/((-1500)\/(-500)*(-1)\/3)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1393540723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 13 = 2*w, 0*o = -4*o + w + 7. Let l be (-1)\/3 + 19\/o. Let u be (-56)\/(-42) + 16\/6. What is the greatest common factor of u and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 69433202?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3596\/310)\/(-29)*(-40)\/(-5).\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -0*y - 20. Let o be (2\/y)\/((-1)\/26). Suppose 3*m + 94 = 4*x - o, 4*m = 5*x - 135. What are the prime factors of x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -68\/3 + 23. Let x = q - 1\/12. Factor -w - w**3 - 1\/4 - 3\/2*w**2 - x*w**4.\nAnswer: -(w + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (1 - -2 - (-3 + 4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -112.801 - 321?\nAnswer: -433.801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 3570?\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*y - 681, 0*t + 6 = -2*t. What is the common denominator of 641\/14 - 2\/7 and (-4)\/14 + 860\/y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/3)*d**(-4))\/(d*d**(-2)*((d\/(d\/(d\/d**7*d)))\/d)\/d)*d**(-6)*d*d*d**7*d*d\/d**(1\/6)*d**(-1\/3) assuming d is positive.\nAnswer: d**(53\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 601 - 601. Solve -5*u + 4*v - 25 = a, -6*u + 2*v = -4*u + 12 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45879075329.999999388 + 45879075213. Let i = y + 117. Round i to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 2. Let f be 14 + (6\/s)\/(-3). Let n(g) = -g**2 + 13*g - 6. What is the units digit of n(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14492.\nAnswer: 2, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 168193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 28111 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 7\/3, -2\/19.\nAnswer: -4\/3, -2\/19, 7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence igi when three letters picked without replacement from {g: 16, i: 2}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/((-1)\/(19 - 2)). Suppose x = -0*i - 4*i + 5*b, 2*b + 2 = 0. What is the common denominator of 3\/2*(-52)\/i and 70\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -28*q**5 + 260*q**4 + 628*q**3 - 1124*q**2 + 264*q = 0.\nAnswer: -3, 0, 2\/7, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 - 184 = -5*y. Find the common denominator of (-6)\/(-4)*(-87)\/y and 2 + ((-110)\/12 - 170\/34).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 15 = 11*j - 6*j, p + 3*j + 9 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/50 and -151\/36?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -0.2, 1\/16, -0.74 in descending order.\nAnswer: 1\/16, -0.2, -0.74, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 7*x**2 + 2*x - 12. Let h be j(7). Let d be -4*((-3)\/(-2) - h). Factor -4\/3*f**2 + 2\/3*f**3 - d*f + 0.\nAnswer: 2*f*(f - 3)*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27522 (base 9) to base 12\nAnswer: a962","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 87080 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: How many seconds are there in 10\/9 of a hour?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22298 + 49129. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 50410.\nAnswer: -2\/25205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27.6 - 28. Which is the nearest to -6? (a) h (b) -0.5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggngnnngnngg. What is prob of picking 2 g?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2)*(l - 3*l - l) - l - 2*l + l - 2*l + l - l + 11*l + 30*l - 14*l + (1 - 3 + 1)*(l + 0*l + 0*l) + 4*l + 0*l - 2*l - 2*l + 3*l + l.\nAnswer: 20*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*w**2 + 61*w**2 - 128*w**2 - 546243*w**3.\nAnswer: -546243*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*k**3 + 0*k + 0*k)*(-1 + 1 - 5) + (5 - 2*k - 5)*(-4*k**2 - 4 + 4) in the form m*k + t + d*k**3 + v*k**2 and give d.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-6)*(-10 - -1). Let u be 3\/(-6)*(s - 3). Put 2, -2\/7, u in descending order.\nAnswer: 2, u, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -252000 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 14, 15, 20, 29, 42, 59, 80?\n\"Answer: 2*y**2 - 5*y + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7060\/3 + -2353. Which is the biggest value? (a) -15 (b) q (c) -0.1 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - -17. Let u = -2 + d. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/(-4284)*-8*21\/(-16)*-8.\nAnswer: -18\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 9*n + 1. Let d(w) = -4*w + 0*w - w - 4*w - w**2 - 9. Let x be d(-8). Determine t(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -13*i**4 + 54*i - 12. What is the first derivative of c(n) wrt n?\nAnswer: -156*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 494, 4023, 13614, 32297, 63102, 109059, 173198, 258549?\nAnswer: 368142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 118, 308, 576, 922, 1346?\nAnswer: 1848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 0 - (2 - -1 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3189204 to the power of 1\/2, to the nearest integer?\nAnswer: 1786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**5\/12 - s**4\/8 - s**3\/3 - 2*s**2 - 5*s. Let v(m) be the first derivative of l(m). Solve v(j) = 0.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, i: 2, q: 2}. Give prob of sequence iqsi.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*d*v**4 - 4*d*v**3 - d*v**2 + 690*d + 381*v**4 + 151*v**3 + 8052 wrt v?\nAnswer: 72*d*v - 24*d + 9144*v + 906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 6:04 PM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2533 = 846*v - 2543 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28744749 to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -133*v**2. Let f(u) = -34*u**2 - 37. Give f(k(h)).\nAnswer: -601426*h**4 - 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 25 = 5*h + 5*b, 2*b - 15 = -5*h. Let p(u) = 152*u**3 + 5*u - 4. Let a be p(h). Calculate the highest common divisor of 45 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*n = 153*n - 3*k - 22, -2*k - 18 = -5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 12 (b) -4\/3 (c) -2 (d) 16\/9 (e) 1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/sqrt(99) + 3.\nAnswer: sqrt(7)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 24*y**2 + 82*y - 2433. Calculate a(23).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*q + 1431 = 25*q - 15*q - 711 for q.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 + (-25560)\/(-1349))*-779.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -2 - 1) + -5. Suppose 2*a - y + 17 = 3, 0 = 2*a + 3*y + 6. Let c = a - -8. Sort -4, c, z in ascending order.\nAnswer: z, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 7:30 AM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from gnsnngunnggsnn.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -821 + 135742*l + 821 - 135739*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -336\/13 - -7121\/273. Which is smaller: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00644115 to 5 decimal places.\nAnswer: 0.00644","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 3*d**2 + d. Let i be p(3). Let v = -6 + 8. Let l be (-52)\/(-2) - 0\/(7 - 11). Solve -9 = y - 2*s, -i*s = -2*y - v*y - l for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, x: 3}. What is prob of picking 1 x and 2 u?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 4*j**5)*(-9504 + 11381 - 5507).\nAnswer: 14520*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 3:33 AM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -1996*s - 2150. List the prime factors of t(-15).\nAnswer: 2, 5, 7, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + -2*sqrt(66) + sqrt(66))*-2)\/(sqrt(30)\/(sqrt(5)*2)) - (-4 + (-2 + sqrt(275))*-5).\nAnswer: -6 + 25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (144\/(-320) - (-2)\/8)*2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**3 + 2784*v**2 - 113760*v + 1145600 = 0. Calculate v.\nAnswer: -1432, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-5) + 1\/(1\/(-2)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (4 - 0)\/(-2) - -26 and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1549, -3124, -4699, -6274?\nAnswer: -7849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(68))*5)**2 - (-5*sqrt(68))**2*4.\nAnswer: -4700 + 400*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -786 + 785.976. Let t = -0.02138 - x. Round t to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*1)\/((6\/(-133)*7)\/(-3)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10 - 220\/90 - 32\/4. Which is the closest to -1\/36? (a) 2 (b) -0.02 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (125\/30 - 4)\/((-2)\/6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1956624?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uusngsnyyuguu. Give prob of picking 2 u and 2 n.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-285)\/18 - (-2)\/(-12). Let w = b + 29. What is the highest common divisor of 104 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/4 + 4\/(-8). Let u(r) = r**2 - 1. Let z be u(t). Let s(f) = f**3 - f**2 - f - 4. Give s(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 12*t**2 - 10*t - 3. Let b be a(11). What is the greatest common divisor of 32 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -5*s**2 + 4. Let m(p) = 5*p**2 - 4 + p - 1 + 4 - 4. Let l(g) = -4*b(g) - 3*m(g). Calculate the remainder when l(-2) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + 15. Let h(j) = j**2 + 10*j - 11. Let i be h(n). Sort i, 5, 5\/2 in descending order.\nAnswer: 5, 5\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120) + 1*sqrt(120) + sqrt(120))\/sqrt(5))\/((sqrt(84) + sqrt(84)*-2)\/sqrt(7)).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 6:51 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -72, -284, -588, -984, -1472, -2052, -2724?\n\"Answer: -46*l**2 - 74*l + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of c*f*z**2 - 6401*c*z**3 + f + 10372*z**3 - 5*z**2 wrt c.\nAnswer: f*z**2 - 6401*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 3*i + 4. Let d be x(4). Let g = 20 + -14. Let s = g + -5. Which is smaller: s or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 8*w + 18. Suppose -18 + w = -6*h. Find o such that 1\/3*o**4 + 0 - 1\/3*o**h + 0*o + 0*o**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4959 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 31 divided by -6\nAnswer: -31\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -4*j + 84. Suppose 2*l - 3*d - 2 - j = 0, 0 = 5*l + 2*d - 16. Solve 2*q = -l*p - 14, 11 = 2*q - 3*p - 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by -505?\nAnswer: -13\/505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-32))\/((-13245)\/100662)\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 14) to base 6\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-18) + (-16)\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2. Let k(n) = 226*n - 12. Determine o(k(j)).\nAnswer: 51076*j**2 - 5424*j + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2. Let z(r) = 23*r - 6*r - 7*r + 26*r - 4*r. Give i(z(s)).\nAnswer: -1024*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 12995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/4 - 302*t - 20247\/4.\nAnswer: -(t + 17)*(t + 1191)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-43*c**3 - 837*c + 837*c)*(-c - 1 + 1)*(-1 - 1 + 0) to f + z*c**3 + o*c**2 + g*c + h*c**4 and give h.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/5 (b) -1 (c) 18\/5 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -7396.\nAnswer: 1\/3698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*m - 49 = -3*k, 3*k + 4*m - 41 = 0. Let y be (175\/k)\/(2\/(-6)). Let t be (30\/y)\/(4\/(-7)). What is the second smallest value in -3, t, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -7*d - 2. Let b be s(-2). Suppose 25*w = 28*w - b. Solve -w*r - 3*t = -0*r + 21, -5*r + 2*t = 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33961500 rounded to the nearest 100000?\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -433 - -85\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - x - 69 = 58, 4*x = 5*r - 316. Suppose 0*k - r = -2*k. Suppose -6*b + k = 2*b. Solve b*i = 2*i + 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -3\/2*q**3 + 3 - 7\/2*q**2 + 5*q. Let y(f) = 8*f + 6. Suppose 0 = -3*b - 2*b - 25. Calculate b*y(p) - 4*l(p).\nAnswer: -4*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -789, -767, -749, -735, -725?\n\"Answer: -2*h**2 + 28*h - 815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 130 = -7*c. Suppose 2*x = 12*x - c. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*d = -113 + 155 + 213 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 12, 0 = -3*p - 5*t - 1319 - 1745. Let d be (p\/(-156))\/((-24)\/(-9)). Let x = d + -21\/8. Which is the smallest value? (a) x (b) 1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1337891 is divided by 50?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 7:07 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -178, -181, -184, -187, -190, -193?\nAnswer: -196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 12:38 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2)\/l)**4*(l*l\/(l**(2\/3)\/l)*l)\/l*(l\/(l\/(l**(1\/5)\/l)))\/l assuming l is positive.\nAnswer: l**(-172\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -6*u. Let n be 276\/(-84) + (-1 - (-9)\/7). List the prime factors of f(n).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -208840 times 0.4?\nAnswer: -83536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from tytytyytqtyyyt.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -174 at least 2953855?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31*d*q**3*y + 2667*d*q**2 - 4*d*y + 2*q**4*y - 129*q**3*y wrt q?\nAnswer: -186*d*y + 48*q*y - 774*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 532450?\nAnswer: 1597350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4381*j + 4081*j - 10800 = 0 for j.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e + 13?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, 18, 74, 156?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1780991 + -0.680135.\nAnswer: -1780991.680135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 848.5734 months?\nAnswer: 7.071445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -576*q**4 - 481.\nAnswer: -2304*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10\/4)\/(60\/48). Let j(v) = 4*v - 6. Give j(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -y - 4*m - 50, 3*y + 3*m + 75 = 0. Suppose 602*s = 596*s - 24. Which is the third smallest value? (a) y (b) 5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94939 is divided by 18985?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -51 + (-42 - -37 - -61).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004512412 rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*k**2 + 21 - 11 - 76*k**2 - 5 - 27*k**2.\nAnswer: -67*k**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*r**2 - 136*r**2 + 120*r**2.\nAnswer: 64*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2196025 to the nearest integer?\nAnswer: 1482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 10) to base 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 17291*v = -17292*v - 5, -3*z + 86*v + 181 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*x, 0*x + 2*x = 4*t + 24. Let j be (-4)\/(-14)*(-140)\/(-12) + t. Sort 0.5, -4\/5, j.\nAnswer: -4\/5, j, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 2e094dc?\nAnswer: 2e094da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 + 11213558*p - 33640665.\nAnswer: -(p - 11213555)*(p - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 - (48 + -8) - (-23 - -2 - -2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*r + 25*r + 64*r - 352*r - 384*r.\nAnswer: -681*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -i**5\/20 + i**4\/12 - 2*i**3\/3 - 7*i**2\/2 - 14*i + 1. What are the prime factors of r(-7)?\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 77 = -5*g - 16, 0 = 2*b + 2*g - 28. Does 9 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1903 and 42818?\nAnswer: 81482654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**50\/(k*k**0*k**0))\/(k**(-3)*k*(k\/k**(-1\/7))\/k*k**(-4)\/((k**(2\/7)\/k)\/k)) assuming k is positive.\nAnswer: k**(372\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24209 - 11918 - 12291 - 9*s.\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 27*o**2 + 4*o - 5. Is m(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (6 - 18 - -16) + -2 + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from acnaajcjjcannncn?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2172.8 + 2172.771695. Round d to 4 dps.\nAnswer: -0.0283","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 24352*o - 194734. Give l(8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - z)*(82 - 34 - 43)*(2*z - z + 0*z) in the form k + f*z + o*z**2 and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 150544585?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -453 + 450. Let q = -137 - -133. What is the second smallest value in q, r, -0.1, -19?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 + 25 + -45 - -28) + -2 + -1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*t - 12 = 0. Solve -t*z = -5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -290 + 290.9. Let t = 0.2 + -0.4. Sort t, 3\/4, v in descending order.\nAnswer: v, 3\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4012 + -3?\nAnswer: -4015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1531 - -1543 - (0 + 116)) + 7?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -6497\/3162?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1558 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -50*b*m**2 - 3168*b*m*w - 1019*b*m + 69*m**2*w + 4*m**2 wrt w.\nAnswer: -3168*b*m + 69*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2020 is divided by 157.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2454 is divided by 1199.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 3030.\nAnswer: 21210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -2\/53, -1\/3, 0, 0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**3 - j**3 + 11*j**2 - 9*j**2 to g*j**3 + s*j + p*j**2 + i and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 125984098 to the power of 1\/3, to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 32\/201, 9, 217?\nAnswer: 32\/201","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84799 is divided by 21161.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - z**2 - 12*z + 9. Let l = 50 - 29. What is the remainder when l is divided by p(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 2*t - 152 + 168, -3*y + 3 = 3*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -11 - (-1 - 19 - -3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7493237 to the power of 1\/2, to the nearest integer?\nAnswer: 2737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1020, -3941, -8758, -15471, -24080?\nAnswer: -34585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-4)\/w)**(3\/5))**(12\/13)*(w**(-1))**(2\/29)*w**(-2\/13)\/(w*w**(-2\/17)*w*w) assuming w is positive.\nAnswer: w**(-37649\/6409)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16491163*f**2 - 16491158*f**2 + 32982314*f**2.\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, v: 1, r: 1, x: 1, o: 1}. Give prob of sequence qqvq.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {x: 2, h: 1, p: 2, d: 1, f: 8}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - -0.14. Let v = p - 4.04. Let z = -1 + v. What is the closest to 0 in z, 4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in -1\/10, -288921, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18 + 131 - 50)*(-w + 1 - 1)*(-4*w + 4*w + 2*w)*(0 + 2 - 1) in the form m*w**2 + r + v*w and give m.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cnc when three letters picked without replacement from nccnnnnncn.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - h. Suppose h = -5*s - 3*m - 1, 2*s - 5 = -3*m - 0. List the prime factors of -1 - ((-12 - s) + -1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*o - 76 - 60 = 34 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(432)*2 + -1)*-5 - (-1 + 0 + sqrt(432) - sqrt(432)*1*3)*-3)*1)**2.\nAnswer: 1152*sqrt(3) + 110601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-14))\/((-4558)\/212)?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 2*h = -5*d - 5, -5*d + h - 2 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35899783\/180 - 199444. Calculate the common denominator of -91\/90 and w.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6874444)\/1252547)\/((-4)\/86)?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-549)\/48 - (-24 - -12). Which is smaller: -4 or l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + 0. Let j(d) = -6*d + 19 + d + d + t*d. Calculate the remainder when j(-8) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5675769 millennia to months.\nAnswer: 6810.9228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(1\/5)\/y)**(-14)*y**(-11\/5)\/(y\/(y*(y**(-17)*y*y)\/y)) assuming y is positive.\nAnswer: y**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 10*k**2 + 15*k - 8. Let o(g) = -8*g**2 - 16*g + 7. Calculate -5*i(h) - 6*o(h).\nAnswer: -2*h**2 + 21*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2616 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -d**5\/60 - d**4\/3 - 8*d**3\/3 + 17*d**2. Factor u(r).\nAnswer: -(r + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 632.\nAnswer: -126.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 6 - (-8 - -13)) + (150 - 145).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q + 4. Let u(l) = -24*l - 33. Let z(j) = 4*u(j) + 33*v(j). Let r(b) = -4*b**2 - 21*b. Give z(r(s)).\nAnswer: -12*s**2 - 63*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 23\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nrrc when four letters picked without replacement from {n: 9, r: 10, c: 1}.\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 0*p - 5*p = 21, 4*p = -3*i - 18. Suppose 7*v + 18 = v. Let q be -2*(v\/i + 9\/(-9)). Which is smaller: 26 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-21)\/r)\/((r*r*r*r**(1\/29))\/r)*(r*r**(-22)*r)**43 assuming r is positive.\nAnswer: r**(-25608\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, b: 1, q: 1, j: 2}. What is prob of picking 1 y, 2 j, and 1 b?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + u**2 + u - 1. Let g(x) = 10*x**3 - 19*x**2 + 29. Let a(q) = -2*g(q) - 22*l(q). Suppose a(z) = 0. Calculate z.\nAnswer: -9, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**3 - 165*b**2 - 82*b + 30. Give l(-82).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000217794811 less than 25?\nAnswer: 25.000217794811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/19 - 1207436*p\/19 + 36224880\/19.\nAnswer: -2*(p - 30)*(p + 603748)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 8*u**2 - 9*u + 8. Let i be q(7). Let x(f) = 7*f. Let d(n) = 13*n. Let m(l) = i*d(l) + 11*x(l). Let t(b) = -2*b**2. What is m(t(j))?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 6*o. Let v be x(7). Let q = v - 2. Calculate the remainder when ((-2)\/3)\/(18\/(-351)) is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*i**3 - 143*i**3 + 12*i**3.\nAnswer: -181*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-2 - 3 - 3) - -15\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -5*h**2 + 8*h - 1. Let s(x) = -6*x**2 + 8*x - 1. Calculate 5*g(j) - 4*s(j).\nAnswer: -j**2 + 8*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/5)\/r**(2\/13)*(r*r*r\/r**(-1\/2))**(-22) assuming r is positive.\nAnswer: r**(-5002\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 15*z**2 - 4*z + 60. Suppose 2*g - 16 = 0, 1030*d - 1027*d - 85 = -5*g. Calculate j(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -759, -736, -685, -594, -451, -244?\n\"Answer: 2*k**3 + 2*k**2 + 3*k - 766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in 3, -0.08, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and -17079673.7164.\nAnswer: -17079674.2164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12254 and 2371149?\nAnswer: 4742298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-6))\/((-4)\/(-18)). Factor m**2 + 0*m + 0*m**3 - f*m**3 - m**4 + m + 2*m**3.\nAnswer: -m*(m - 1)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 + 6)*(b - 2*b + 0*b + (12*b - 30*b + 9*b)*(-1 + 1 - 2)) in the form w + p*b and give p.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 3*u - 7. Let x be q(6). Let w(y) = y + 1. Let n be w(-5). Let t = n + x. Solve 0*r + 5 = a - r, -5*a - 3*r = t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -177364835?\nAnswer: -177364835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -33 + 13 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*p - 43*p - 4*p**3)*(2 + p**2 - 2) + 0*p**5 - p**5 - p**5.\nAnswer: -6*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15320272.\nAnswer: 2, 11, 61, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -2 (c) 2\/7 (d) -1\/4 (e) 13 (f) 2\/369\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 0, 3, -31 in descending order.\nAnswer: 3, 0, -21, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4023123 (base 5) in base 3?\nAnswer: -10021000102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1914 is divided by 629.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 3048.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 42484687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1002103213 - 201?\nAnswer: -1002110020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6088*n**2 - 3043*n**2 - 313*n + 2 - 3046*n**2 to the form m*n + h*n**2 + s and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.7491054 - 0.10454. Let t = 53.1463802 - f. Let k = 54 - t. What is k rounded to 6 decimal places?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77 divided by -2119.\nAnswer: -77\/2119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31763196 to the nearest integer?\nAnswer: 5636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2 = 4*u, -4*r = -r - 6. List the prime factors of u\/1 - (-4 + -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.75*0.5.\nAnswer: -4.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 43 + 2*a - 71*a**2 - 145*a**2 - 44 - 307*a**2 as v + d*a + o*a**2 and give o.\nAnswer: -523","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 v when two letters picked without replacement from {i: 2, a: 5, v: 8, t: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1 - -3) + (-43 - -38)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4 - 1. Let c = 1 - -4. Solve 50 = 5*l + c*z, 1 = -i*l + 2*z + 6 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 19\/4 of a centimeter?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**3 - q**2 + 2*q + 9. Let v(w) = 5*w**3 - 3*w**2 + 5*w + 26. Let c(h) = -8*n(h) + 3*v(h). Calculate c(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -86*t**6 - 217*t**2.\nAnswer: -10320*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*n + 23319 + 24417 = 0. Calculate the highest common factor of n and 9516.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2 - 0. Let l = 53\/2 - 26. What is the second biggest value in p, l, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*r - 245*r - 180*r = 13580 + 16564 for r.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*h - 6*h = 4064, 4*h + 3053 = 3*f. What is the smallest common multiple of f and 11?\nAnswer: 11121","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000003297761 rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50197?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 8 = -3*i, 3*i - 4 = 6*i - c. Suppose 0 = -y - i*y, -16 = -4*w + y. Solve 0*n + w*n = 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -830 + 1288. Suppose 4*d - 2250 = d. Suppose -8*l + g = -d. Is 28 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -348, -1433, -3242, -5775, -9032, -13013?\nAnswer: -17718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -233463, -467575, -701689, -935805, -1169923, -1404043?\nAnswer: -1638165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**2 + 5*x + 2. Let r be n(-3). Let v be (-21)\/(-35) + 7\/r. Solve -v*k - 2*k = 3*t - 6, t - k = 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158048207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1)*(3*a - 3*a - a)*(13*a**3 - 3*a**3 + 4*a**3)*(3*a - 2*a + 2*a).\nAnswer: -84*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65 - ((53 - 63) + (21 - 6))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 100 + -97. Let d(n) be the second derivative of 1\/12*n**4 - 1\/40*n**5 + 0 - 5*n - 1\/12*n**g + 0*n**2. Factor d(p).\nAnswer: -p*(p - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 29*o - 114*o + 30*o)*(6*o**2 + 3*o**2 - 2*o**2).\nAnswer: -791*o**3 - 14*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0157336154 to six decimal places.\nAnswer: 0.015734","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -17\/2 (b) -3\/19118 (c) -0.183\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1123 + 1125. Let u be (50\/(-216))\/((8\/3)\/(-8)). Is l greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 3*d**2 + 73*d - 139. Let u be p(2). Sort 0.2, -0.5, 251, u, 2\/19.\nAnswer: -0.5, 2\/19, 0.2, u, 251","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 4*z + 10 = -u, -3*u = 3*z - 30. Suppose -870 = -z*p + 3*o, 262 - 86 = p - o. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -100235 (base 11) in base 2?\nAnswer: -100111011000110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve 33*b - 60 = 18*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 0 + v**2 - 3*v**2.\nAnswer: -2*v**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s - 44. Let a = 7020 - 6984. Calculate f(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 922*y**2 + 4*y + 1 - 465*y**2 - 461*y**2 - 2*y. Suppose 2*r + 3 = -r. Determine q(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 1) + (-20 - -17) + -10\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 149047792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h + h**2 + 2*h - 4*h**3. Let t(d) = -11*d**3 + 3*d**2. Let a = -11 + -6. Let q(o) = a*z(o) + 6*t(o). What is the third derivative of q(b) wrt b?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1003 - (6 + -7)*-5. Let t be f\/(-546) - (-4)\/26. Solve t*q - 2 = 8, n + 3*q - 10 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 10:32 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w**2 + 18*w - 93. Let h(l) = l**2 - 5*l + 25. Let y(c) = -22*h(c) - 6*s(c). Give y(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5*r = -395, 2*y + 241 = -y + 4*r. Let h = 80 + y. Solve 8 = -4*o - h*i, 2*o = -3*o - 3*i + 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e (base 15) to base 9.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 8*g**2 - 11. Let q be 6\/12 + (-57)\/6. List the prime factors of d(q).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -173*s - 306. Let h be t(-2). Calculate the greatest common divisor of 770 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 - 13*l**2 + 13*l**2)*(-1 + 2 - 2)*(-1 - 1 - 5).\nAnswer: 14*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -17*z**2 - 6*z. Let i(m) = -m**2 + m. Let k(d) = -b(d) - 6*i(d). Let v(n) = n**2. Give k(v(h)).\nAnswer: 23*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 2*g + 14 = 0, -2*p + 3*g + g = 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*v + 105 - 133 + 180 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 3:53 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 20*y**2 + 18*y - 18. Let r be c(1). Solve -22*n + r = -17*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172173139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 + 35. Let j = 56 - a. Let h = 42 + j. What is the greatest common divisor of h and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 60741.4856 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 26*n + 5. Let h = -43 - -46. What is the units digit of o(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2715 = 3*g, -6*g = 5*z - g - 13605. What is the remainder when z is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 308701.9 millennia in decades?\nAnswer: 30870190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6261 = 9*w - 2667. Let y = -393 + w. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c**(-2\/7)\/c)\/c*c)*c**(-9\/4)*c)\/(c**13\/c*c**(-12)) assuming c is positive.\nAnswer: c**(29\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/9 - 146608*n\/9 + 293240\/3.\nAnswer: -2*(n - 6)*(n + 73310)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1409.41 to the nearest 10.\nAnswer: -1410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 965, 1929, 2895, 3863, 4833?\n\"Answer: b**2 + 961*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 359791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11503, -45964, -103397, -183802, -287179, -413528, -562849?\nAnswer: -735142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2806761632 to the nearest integer?\nAnswer: 52979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65619.92 millennia to decades.\nAnswer: 6561992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 0*f**3 + 1\/30*f**5 + 1\/24*f**6 + f**2 + 3 + 0*f**4 + 0*f. Let q(m) be the second derivative of x(m). Factor q(a).\nAnswer: a**2*(5*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7120.\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 92*o**3 - 37*o - 60427 wrt o?\nAnswer: 276*o**2 - 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*q + 33*q + 2*q)*(2 - 5 - 7)*(0*q - 2*q**3 + 0*q).\nAnswer: 520*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2 + 12*c + 6. Let u(j) = -j**2 - 6*j - 2. Calculate -6*t(r) - 13*u(r).\nAnswer: r**2 + 6*r - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4753055 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 - -573?\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 235, 378, 525, 682, 855, 1050, 1273?\nAnswer: 1530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 1. Let r be u(2). Suppose r*p = 1 + 2. What is the units digit of p\/(-5) - 31\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 30 - 10. Calculate the greatest common divisor of 55 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23010 - 42413213?\nAnswer: -42340203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3453533 is divided by 111403.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -27. What are the prime factors of (56\/u)\/(1\/5)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - (756\/(-3))\/2. Suppose -236 - p = -5*r. Let a = r - 30. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/18 + 112\/18. Suppose -4*g - 5*b = -12, g + 15 = o*g - 2*b. Find the third derivative of -3*u**2 + g*u - 3*u - u**3 wrt u.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 199154955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5258, -8842, -18554, -37454, -68602, -115058?\nAnswer: -179882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 300.3 + -241. What is x rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + 1*(sqrt(200) + 0)**2.\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - b - 23. What is t(0)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -416488*h + 416254*h + 1638 = 0 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {a: 4, w: 4, c: 8}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 335457?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -780 - 0.21.\nAnswer: -780.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cya when three letters picked without replacement from {w: 5, u: 1, y: 1, c: 5, a: 2, n: 6}.\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2112 and 11416?\nAnswer: 3013824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooo when four letters picked without replacement from hhhoohhoohhoo?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -m**4\/12 - 2*m**3\/9 + 2*m**2\/3 + 8*m\/3 + 7. Factor q(w).\nAnswer: -(w - 2)*(w + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8592?\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17\/7 in -6, 5, -0.007, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 5*p - 316804, -12 + 14 = -k. Suppose 0 = -22*b - 42*b + p. Calculate the highest common divisor of b and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-4)\/3))\/(-6)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 205466 + -205465.9. Let a = -8.3 + 8. Let z = -0.8 - a. What is the closest to t in 3\/8, 0.05, z?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -1652*g**2 - 35. Let a(h) = -275*h**2 - 6. Calculate 35*a(u) - 6*x(u).\nAnswer: 287*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/(c\/(c\/(c\/c**(2\/5))))*c))\/c)**4)**(-50) assuming c is positive.\nAnswer: c**280","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2174988*i - 2174988*i + 634*i**4 + 652 with respect to i.\nAnswer: 2536*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of 197*u**4\/4 + 323*u**2\/2 + u + 33. Differentiate q(i) with respect to i.\nAnswer: 1182*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33415099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 159? (a) -3 (b) -145 (c) -0.2 (d) -0.088 (e) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28574*v - 17461 with respect to v.\nAnswer: -28574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by 11468021.\nAnswer: 23\/11468021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, -4, 3, -1\/6, 0.03, -748.9, -2\/9?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 4*o - 326 = -350, j - o + 3 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-125)*(-85)\/68\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 5. Suppose -2*b - 4*q - v = 0, -4*b - q - 1 = -0. Suppose -3*g - 2 + 5 = b. Calculate the highest common factor of g and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -1358*u - 8924. Calculate r(-7).\nAnswer: 582","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 504 - 466. Let y(k) = k + q - 9 + 0*k - 15. Calculate y(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52)\/(-2) + (-25694)\/986.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -3\/40*f**6 + 1\/20*f**5 + f**2 - 80 + 3\/8*f**4 + 0*f - f**3 + 1\/70*f**7. Suppose x(l) = 0. Calculate l.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a micrometer in nanometers?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 12*h**2 - 5*h. Let l be a(4). Let p = 577 - l. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 41*h. Let j(q) = 270*q**2. What is c(j(n))?\nAnswer: 11070*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 55*c**4 + 340*c**3 - 325*c**2 - 70*c.\nAnswer: 5*c*(c - 1)*(c + 7)*(11*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8220398.2 * 0.04.\nAnswer: 328815.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 3:53 AM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 1 + 4)*(0 + 2 + 0) - 1 + 0 - 2)*(-3*j**4 + 4*j**4 - 2*j**4 + (-2*j**4 + 2*j**4 + j**4)*(-8 - 1 + 5) - 18*j**4 - 10*j**4 - 27*j**4).\nAnswer: 300*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 1:45 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.8 - -7.8. Let i = 20 - 20.26. Let y = 0.04 - i. What is the nearest to -0.5 in y, t, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1111.\nAnswer: 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -297 + 69 - 6*j + 80 + 80 + 71.\nAnswer: -6*j + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-60) - (-2)\/(-3). Let s = -3 - 2. Which is the second smallest value? (a) s (b) p (c) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4834*5\nAnswer: 24170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/4 of a meter in centimeters?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k + 2*x + 96, 13*k + 372488*x = 372483*x - 312 for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 - 18. Let m = 13 - l. Suppose -2*x + 8 = 0, 0*j + m*j - 6 = x. What is the greatest common factor of 14 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(209)*-1 - -6*(sqrt(209) + sqrt(209)*1))\/(sqrt(704)*2 + (-1*sqrt(275) - sqrt(275))).\nAnswer: 4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**6 - 3391*b**2 + 553*b**2 + 12567*b**2 - 2*b**4 + 2477*b**3 wrt b.\nAnswer: -240*b**3 - 48*b + 14862","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 902.9 years in decades?\nAnswer: 90.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 1 - 6)*(28*b + 8*b + 15*b).\nAnswer: -765*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-22)\/(-33)*(-7 + 1). Let b(f) = 92*f**3 + 5*f**2 - 3*f + 4. Let j be b(x). Let r = 57991\/10 + j. Find the common denominator of -41\/14 and r.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 232139656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 11*p + 3*p - p)*(-13*p - 1 + 5 - 3).\nAnswer: 117*p**2 + 17*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9152 divided by -572?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011010001010110101010 + -10?\nAnswer: -10011010001010110101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29.9 + -30. Suppose -k = -5*u - 6*k - 40, 7 = -4*u + k. Which is the nearest to j? (a) u (b) 4 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-34)\/1428)\/(30\/(-42))*3\/((-27)\/12).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2287913062?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 101856741 to the power of 1\/2, to the nearest integer?\nAnswer: 10092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 7:16 AM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4426.92326 + 4427. What is r rounded to 3 dps?\nAnswer: 0.077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 172 - 334. Let x = -161.862 - j. Let f = x - 5.558. Round f to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.9, -5.4 in increasing order.\nAnswer: -5.4, -0.9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -s**7\/210 + s**6\/40 - s**5\/20 + s**4\/24 + 2*s**2 + 2*s. Let p(n) be the first derivative of o(n). Factor p(c).\nAnswer: -c*(c - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1894\/310 + 4\/(-10). Let p = c + 28337\/651. Let u = p + -146\/3. What is the biggest value in u, -2, -0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 5*n - n + 29, -20 = 4*n. Suppose 19 = f + 5*a, c*f - 5*f + 5*a - 7 = 0. What is the least common multiple of f and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.6999717 + -2.7. What is i rounded to six decimal places?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-6))\/p*p)\/p*p*p)\/p*(p*p**14)\/p assuming p is positive.\nAnswer: p**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gbgg when four letters picked without replacement from {b: 2, r: 1, x: 1, g: 3, l: 3, d: 3}.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 13452689 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02468 to 3 decimal places.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -13*q**3\/6 + 3*q. Let y(i) be the third derivative of 23*i**2 + 0 + 0*i - 1\/12*i**4 + 0*i**3. Calculate y(z(c)).\nAnswer: 26*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15270002270 + 15267779147.99958. Let f = 2223100 + l. Let k = f - -22. Round k to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 396. Calculate the highest common divisor of 70 and f.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of -t**8\/70560 + t**6\/2520 - t**5\/30 - 2*t**2. Let z(s) be the third derivative of b(s). Factor z(n).\nAnswer: -2*(n - 1)*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/37377015?\nAnswer: -2\/37377015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.02 and 38674440.3946.\nAnswer: 38674439.3746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.31753 minutes in microseconds?\nAnswer: 1879051800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 113 = -t, 4*a - t - 2*t - 221 = 0. Calculate the remainder when a is divided by (-19)\/(-2) - (-2)\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 * -58804\nAnswer: 3528.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 12:57 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**2\/3 - 564*d + 70688\/3 = 0. Calculate d.\nAnswer: 47, 376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1 + sqrt(1300) + 4 + (4*(sqrt(13)*4 + sqrt(13)) - 6*(sqrt(65)\/sqrt(5) - sqrt(13))))**2.\nAnswer: 180*sqrt(13) + 11709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*q + 46*q = -1200. Which is bigger: q or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14596?\nAnswer: 2, 41, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 2*n - 2*a - 3688, 0 = 5*n + 3*a - 9202. Suppose 5*l - 52 = n. Does 9 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -47*y - 3. Let a be j(-1). Let n be (-47)\/4 - 11\/a. Let f = n + 17. Solve -2*w - f = -w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of u**3*v - 1387*u**3 + u**2*v + 459*v wrt u.\nAnswer: 6*v - 8322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, a: 3, b: 1, l: 4}. Give prob of sequence lb.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - d - d)*(-38 + 69 - 322).\nAnswer: 582*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-192)\/(-33) + 86\/473\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 112*a**3\/3 + 1319. Let c(i) = 10*i**2. What is z(c(o))?\nAnswer: 11200*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 27519126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d + d**2 - 4*d)*(-2*d + 2*d - d**2) - 3*d**4 - d**4 + d**4 + 2*d**4 - d**4 - 2*d**4.\nAnswer: -5*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19225 is divided by 121.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 55550 + -34687. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 604217502 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u. Suppose 8 = 11*a - 25. Suppose 0 = -2*q - a*m + 114, -5*m - 117 - 168 = -5*q. Let h(y) = 62*y - q*y - 27*y. Give r(h(d)).\nAnswer: 22*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/128*-12)\/24.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2475718253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 7\/4*n**4 + 19*n + 15 + 0*n**2 + 0*n**3. Find the first derivative of k(f) wrt f.\nAnswer: 21*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3588 - -730. Is u\/6 + (-20)\/30 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 2)*((-y - 2 + 2)*(-2 + 3 - 2) - 3*y + 6*y - y - 1 + 1 + 2*y + 5*y - 4*y - 3*y + (2*y + 3*y - 6*y)*(-1 + 1 - 2))*(5*y - 3*y - y).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bz when two letters picked without replacement from fbzbq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-540659)\/54068 + 6 + 2*2. Let y = g + -455797\/208548. What is the common denominator of y and -121\/84?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44 and 1242428.\nAnswer: 1242428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5 - d**3 - d**2 + 2*d**3 - 5 - 1 + d. Let v(l) = 2*l**2 + 2. Let z(u) = -10*c(u) - 5*v(u). What is the second derivative of z(r) wrt r?\nAnswer: -60*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2262028.7 to the nearest 100000.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -46.796 - -46.6. Let o = -0.196 - g. Which is greater: o or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 5*b + 417, -2*k + 4*b = b - 181. Let d = 71 + k. Calculate the remainder when d is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 181*k**4*w - 2*k**2*w**3 + 7*k*w**2 - 17536*w**3 wrt k.\nAnswer: 724*k**3*w - 4*k*w**3 + 7*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4132536106 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -10*v + 752. Suppose 0 = -91*w + v*w - 45. What is the remainder when 55 is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 315599.5 - 315599. Let l = 12\/55 + -962\/3905. Which is the nearest to l? (a) z (b) 0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4822+-0.09\nAnswer: 4821.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 30*b = -8*b - 4*b. Let a(r) be the first derivative of -r**2 - 3\/4*r**4 - r**3 + b*r - 8. What is a(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -99*t + 3039 + 10425. What is the highest common factor of t and 136?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-28)\/10)\/(-7))\/((-3)\/(-60)). Suppose -2*v + v + 5 = 0. What is the first derivative of 5*o**3 + 0*o**3 - v + k wrt o?\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 6*x. Calculate z(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -43.4337, 2, 5 in increasing order.\nAnswer: -43.4337, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 28*a + 53 - 56*a + 25*a. Let o be h(19). Suppose -3*k = 60 - 66. What is the third biggest value in o, k, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 26, 10, -3.\nAnswer: -5, -3, 5, 10, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 2484*a - 62733. Calculate u(-25).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7500400)\/(-907830) + (-2)\/(-11). Let r = -2\/2751 - u. Find the common denominator of r and -99\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence znga when four letters picked without replacement from {a: 1, z: 4, g: 2, n: 6, h: 7}?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 4*g - 2*p, -g = -2*g + 4*p + 34. 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: Suppose -g - 5*c = -3, 9*c = 4*c. Let w = g - 9. Is 8 a factor of 310\/(-15)*w\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 46, 457, 1580, 3769, 7378, 12761, 20272?\n\"Answer: 59*w**3 + 2*w**2 - 8*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-29655)\/3388)\/9 - -1. Let v = -1\/121 - f. Find the common denominator of 67\/2 and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -377*t + 730 = 3746 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9103783 is divided by 1384?\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/14*147\/(-42). Let b(v) = -v**3 - 7*v**2 - 3*v + 19. Let o be b(j). Is -3 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5002961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**3\/6 - 179*u**2\/3 - 725*u\/2 - 546 = 0.\nAnswer: -3, 364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1783148, -3566304, -5349452, -7132586, -8915700, -10698788, -12481844, -14264862?\n\"Answer: t**3 - 2*t**2 - 1783157*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-6 - -3 - -1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88343.\nAnswer: 23, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 29*m**2 - 2*m - 2. Let f be y(1). Let x(p) = p**3 - 24*p**2 - 24*p - 21. Let g be x(f). Sort 2, 3, g.\nAnswer: 2, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 463601 + -5096281\/11. Solve 1500\/11 - 6150\/11*n + v*n**2 + 42\/11*n**4 - 642\/11*n**3 = 0.\nAnswer: 2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 5*u + 60. Let x be b(-11). Suppose -x*c = -13*c + 24. Suppose 5*i = c*y - 363, 3*y - 605 = -2*y - 5*i. Is y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185.2977 years in months?\nAnswer: 2223.5724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**5\/5 - 82*i**4\/15 - 14*i**3\/3 + 538*i**2\/15 + 688*i\/15 + 56\/5 = 0.\nAnswer: -2, -1, -1\/3, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -39*r - 13. Let h be j(-11). Suppose -5*k - 16 + h = 0. Does 20 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**5\/9 - 8*d**4 + 104*d**3\/3 - 320*d**2\/9 = 0.\nAnswer: -40, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/150 and 139\/90.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 137213203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -376341 equal to -376313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-2)*(1 + (-1 - 1)). Let z = 5 - 2. Let x = 5 - z. What is the second biggest value in x, t, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 75.866 + -76. Let p = r - -3.134. Which is the nearest to 0.3? (a) 2 (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1032 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -123 + 129 - (-1 + -1 + 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -576251 or -576249?\nAnswer: -576249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccuauasoeaaca. What is prob of sequence usce?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 2*t**2 - 981*t + 2. Let p(w) = -4*w**3 - 9*w**2 - 3929*w + 9. Calculate -9*i(u) + 2*p(u).\nAnswer: u**3 + 971*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -5*c**7\/14 + 3*c**6\/5 + 3*c**5\/5 - 3*c**4\/2 + c**3\/2 - 2653*c. Let j(u) = 0. Calculate u.\nAnswer: -1, 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -17. Suppose 0 = n*m - 6 - 39. Calculate the remainder when 9 is divided by m\/(-15) + 56\/10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3771882?\nAnswer: 2, 3, 209549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -m**4\/6 + 49*m + 2. Let u(x) = -x + 23. What is u(g(l))?\nAnswer: 2*l**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5120?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, f: 3, c: 2, a: 6, d: 1}. Give prob of picking 1 f and 2 w.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, s: 7, n: 1, m: 2, z: 5}. What is prob of sequence znks?\nAnswer: 7\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/2 + 3)*(-2)\/6*-8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3285, 3286, 3287, 3288?\nAnswer: 3289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 4. Let g = p + 13. Solve -2*h - g = -3*m, 5 = -3*h - 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tzhtffttzzzyzhyfhz. What is prob of sequence ytyt?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**5 - 6501*p**4 - 3512133*p**3 + 10621065*p**2 + 14126700*p = 0.\nAnswer: -1085, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2.64 + -0.2985998\nAnswer: -2.9385998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -1814, 2\/255, -1.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.42 + -0.52. Which is the closest to f? (a) -0.4 (b) 1 (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of q**6\/4 - q**5\/30 + 18*q**2. Find the third derivative of i(h) wrt h.\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1831, -1863, -1885, -1891, -1875, -1831, -1753, -1635?\n\"Answer: k**3 - k**2 - 36*k - 1795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4596779.\nAnswer: 11, 509, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 + 0 + 3)*(9 - 24 - 5*c + 16 - 2*c**3) to o*c + q*c**2 + s + k*c**3 and give k.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 2*z + 3. Let q be n(2). Let i(m) = -m - 12. Let b(s) = -2*s - 25. Let t(g) = q*i(g) + 2*b(g). Let a be (-3)\/(-2) - (-15)\/(-10). What is t(a)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3318, -5, -4, 353, -3 in descending order.\nAnswer: 3318, 353, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 408 - -386. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (84*o**2 + 79*o**2 - 17*o**2)*(6*o + o - 4*o) + o**3 + 0*o**3 + 0*o**3 + (-o**2 + 0*o**2 + 0*o**2)*(-o + 3*o - 3*o).\nAnswer: 440*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -558 + -2.4521.\nAnswer: -560.4521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-6*sqrt(68)*1 + (sqrt(34)*2*-2 + sqrt(34) + sqrt(34))\/sqrt(2) + 3)**2 + 3.\nAnswer: 420*sqrt(17) + 83312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of 0*f**2 + 2*f + 1\/20*f**5 + 0 + f**3 + 0*f**4. What is the second derivative of a(g) wrt g?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.55 * -27.\nAnswer: -14.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1117 + 0.161. Round q to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 + 26570*v.\nAnswer: 2*v*(v + 13285)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -199, -721, -1587, -2803, -4375, -6309?\n\"Answer: -f**3 - 166*f**2 - 17*f - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mcm when three letters picked without replacement from qoqocmmzqqzc.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m**3 - 4*m**3 + m**3)*(4 - 4 - 2) - 9*m**3 - 2*m - 2 + 0*m**3 + 5*m**3 to the form s*m**2 + w*m + a + d*m**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 2. Suppose 5*o + p*h = 3*h + 1, 13 = 5*o + h. Let z be o + 0 - 0\/2. Calculate the greatest common divisor of z and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*d + 113*d - 58*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 + 42*c + 43.\nAnswer: -(c - 43)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-36)\/234 + 60\/130. Is p equal to 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -s - 4*n, n = -2*s + 4*n - 23. Let x = -4 - s. Is x bigger than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -3.4. Let u = v + 6.9. Let p = -11 + u. What is the smallest value in 0, -2\/9, p?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.05, 2, 3, 4\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*b**3 + 17*b**4 + 13*b**4 - 1 + 4 - 3 - 1 as u*b**4 + f*b + d*b**2 + j*b**3 + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 0*m + m**2)*(0*m + 4*m - 3*m)*(0 - 1 - 1).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9206, 36730, 82578, 146750, 229246, 330066, 449210?\n\"Answer: 9162*j**2 + 38*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m - 6 = 74. Suppose d - 1447 = m*a, -a = 3*d - 5*a - 4333. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34 - 23) + -8 + (4 - (12 - 1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u + 10. Let c(m) = -4*m + 19. Let o be 12\/(-78) - (1068\/(-52))\/(-3). Calculate o*x(s) + 4*c(s).\nAnswer: -2*s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13009 + 24521. Does 8 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h + 14*h + 4 = 0. Suppose 0 = -b + 5*x - h*x + 486, x + 972 = 2*b. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9839\/2920 - 2\/365. What is the common denominator of (-29)\/(-4)*9*3\/63 and l?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 u when two letters picked without replacement from {x: 2, t: 10, u: 6, f: 1, h: 1}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + ((1 - 9) + 3 - (12 + 3 + 7))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 420.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3455703889 to the power of 1\/2, to the nearest integer?\nAnswer: 58785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -36700000 rounded to the nearest 1000000?\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55 + 179. What is the remainder when d is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p + 10*p + 12 = 4*v, -3*v = 2*p - 9. Let g(h) = h**2 + 5*h - 4. Let f be g(-6). Solve -t + f*t - 3 = p for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3764 + -5?\nAnswer: 375a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.4266 rounded to 1 dp?\nAnswer: 63.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 9:39 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75044 = -9*i - 9875. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 747 is divided by 252?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 165 + -78. Let n = 1398 + -3937\/3. Let c = n - y. Find the common denominator of -31\/6 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/5625)\/((-846)\/(-705))?\nAnswer: -1\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 8, 0.4, -1 in descending order.\nAnswer: 8, 0.4, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 12:34 PM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -428*t + 13. Let a(s) = 71*s - 2. What is -39*a(p) - 6*k(p)?\nAnswer: -201*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*q + 0*q - 1 + q**4 - q**3 - 159*q**2 - 3*q + 159*q**2 in the form r*q**3 + u + b*q + g*q**2 + o*q**4 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10768 or -10772?\nAnswer: -10772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 562*r**2 + 441*r**2 + 348*r**2 - 245*r**2.\nAnswer: 1106*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhyyhshylshhhshyhhh. What is prob of sequence hhyy?\nAnswer: 22\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/4*8\/14. Suppose -f*g + 0*g + 270 = 0. Calculate the highest common divisor of g and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2, 5, 18, 37, 62?\n\"Answer: 3*g**2 - 2*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -3. Suppose -1 = p*x + 2*j, -x + j - 10 = -6*x. Suppose -x*c - 22 + 4 = 0. Let i(l) = -l**2 - 6*l. Determine i(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1104*s = 1125*s - 62234 - 79831. What is the greatest common factor of s and 328?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1023*a**3 - 14*a**2*n - 36*a**2 - 1630488*n with respect to a.\nAnswer: 3069*a**2 - 28*a*n - 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**4 - 1603*i**3\/3 + 218752*i**2\/3 - 396433*i\/3 + 35966 = 0.\nAnswer: -367, 1\/3, 3\/2, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = 49*a + 4 - 1292 for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*y**5 - 11800*y**4 - 10620*y**3 + 161330*y**2 + 307145*y + 147030 = 0.\nAnswer: -3, -1, 29\/7, 338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17213607979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 183\/2269?\nAnswer: 183\/2269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29585 + 30110. Calculate the least common multiple of 975 and c.\nAnswer: 6825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -96 + -14 + 6 + -11 + (-18 - -18) + 26\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -9*o - 10. Calculate i(-6).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 7:09 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -7810166 divided by 9\nAnswer: -7810166\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-49)*3\/(-36)*(-57)\/(-19)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 - 86247*x + 34689384.\nAnswer: 3*(x - 28341)*(x - 408)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.44 - -0.14. Let m = -41 + 44. Let p be (-35)\/30 + m\/(-6) - -3. Which is the third smallest value? (a) p (b) z (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/2370 and 97\/80.\nAnswer: 18960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 5*p + 17. Let z be i(-3). Let v be z - (-1 + -6) - 0. Calculate the highest common divisor of v and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + o + 3*o**3 + (0 + 0 - 1)*(o**3 + 2*o - 2*o))*(-61*o - o + 106*o + o**2).\nAnswer: 2*o**5 + 88*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(8) - -5*sqrt(72))\/sqrt(4).\nAnswer: 5 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - (492\/156 + (-2)\/13). Solve -12 = -4*w + m, 0 = -2*w + 5*m + t + 5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3*g + 82, 6*t + 182 = 8*t + 3*g. Sort t, 1, 3 in descending order.\nAnswer: t, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.3 (b) -3\/2 (c) -1\/2 (d) 1\/4 (e) 0.8 (f) -1.1 (g) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/((-5)\/15*-1). Suppose -9 = -4*r + h. Suppose t + r*a - 6*a - 42 = 0, 5*t = 4*a + 199. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 y when four letters picked without replacement from xvyvhvyhvxhlxh.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 0.311645.\nAnswer: -0.0934935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d**5 - 4*d**5 - d**5 + (-4*d + 4*d - d**3)*(16*d**2 + 3*d - 5*d - 2268276 + 2268283).\nAnswer: -17*d**5 + 2*d**4 - 7*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 + -0.4. Let k be 78\/(-19) + 15 + -11. Let x = 18 - 13. What is the closest to z in x, -2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3271 or -3280?\nAnswer: -3271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 5*n + 1345 = 0, 3*n - 173 = -2*p + 340. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*t - 33*t + 67*t + (-3 - 1 + 6)*(2*t - 2*t - t).\nAnswer: 18*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00426295 to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 22*h - 212. Determine z(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 11:49 PM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 133*p**2 - 11*p**3 + 5 - 52*p**2 + 185*p**2.\nAnswer: -11*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.3 + -0.3. Let j be 4*(-2)\/(-8) - (-6)\/(-4). Which is the closest to o? (a) 2 (b) j (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1480427 to the nearest 1000.\nAnswer: 1480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2254 and 1656739.\nAnswer: 76209994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(2\/(-1)))\/(2\/(-1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 203014, 811801, 1826362, 3246697, 5072806, 7304689, 9942346?\nAnswer: 12985777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1500 and 100875?\nAnswer: 403500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5716713?\nAnswer: 3, 491, 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 32 = 2*x. Suppose 4*c + 0 - x = 0. Suppose -s + c = -2. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 7) to base 10\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 4*v - 42, -85*v - 20 = 2*q - 26*v - 61*v for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 1:16 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(22\/3))\/(s\/(s\/(s*s*s*s**(-6\/5)*s*s))))\/(s**(-23)\/(s\/s**(-21))))**(-13\/6) assuming s is positive.\nAnswer: s**(-6799\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3526?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 74 by -23573.\nAnswer: -74\/23573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 h when three letters picked without replacement from vvjvjrhvh.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*g + 84*g = -4*k + 16, -3*k - 2*g + 11 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -292, -261, -238, -229, -240?\n\"Answer: -t**3 + 2*t**2 + 32*t - 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.31105 - -0.15105. Put 2\/5, -3.34, d in decreasing order.\nAnswer: 2\/5, d, -3.34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -j**7\/630 + j**6\/45 + 5*j**4\/4 + j. Let f(i) be the third derivative of u(i). Factor f(x).\nAnswer: -4*x*(x - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.42 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/819 and 31\/11907.\nAnswer: 154791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -70 from -0.4.\nAnswer: 69.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27196444 by 56191.\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 241945 and 1161336?\nAnswer: 5806680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/104 and 37\/16?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*b**3*y + 37*b**3 + 2*b**2 - 72649*b*y - 65*b - 22 wrt y?\nAnswer: 7*b**3 - 72649*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/20 - 1722\/4. Let f be i\/(-8) - (-7)\/28. Calculate the highest common factor of 18 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + -3 - sqrt(13)) + (sqrt(832)*-5)**2.\nAnswer: 5*sqrt(13) + 20797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14544 is divided by 190?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 9:13 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 + -11. What is the third derivative of -15*d**6 - p*d**2 + 2*d**2 + 21*d**6 wrt d?\nAnswer: 720*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 194683551?\nAnswer: 778734204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, i: 9}. Give prob of picking 4 i.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 229 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -291493\/88 or -3312?\nAnswer: -3312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -613 + 526 + (-2004)\/(-23)?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 686, 697, 716, 743, 778?\nAnswer: 821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 807 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -37*z**7\/210 - z**5\/60 + z**4\/24 - 319*z**3\/6 - 112*z**2 + z. What is the second derivative of x(n) wrt n?\nAnswer: -444*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001011101 + -1?\nAnswer: 1001011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -24, -129, -330, -639, -1068?\n\"Answer: -2*d**3 - 36*d**2 + 17*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -20, -31, -44, -59?\n\"Answer: -r**2 - 8*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 13*y**2 - 10*y - 4. Suppose d + 61 + 16 = 0. Let m = d - -89. Let w be v(m). Solve -4*l - 4*u + w = 0, -2*u = -5*l + u + 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b**2 - 13*b - 35. Let l be h(11). Let u = 88 + -51. Calculate the highest common divisor of l and u.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 2*l + 14, 0*l + 23 = 5*d + l. Differentiate -d*w**3 - 2*w - 9*w + 11*w + 10 with respect to w.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2871 + 2979. What is the highest common divisor of w and 171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p - 1. Let i be x(-8). Let j(r) = -r**3 + 5*r + 4. Let z be j(-3). Let u = i + z. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.3585633g?\nAnswer: 0.0000003585633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5341 - -26707\/5. Let d = 1.1 - 1. Which is the closest to 0.8? (a) p (b) -3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 106 - 98.1. Let r = m - -1.1. Let c = r - 10. Is 5 at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7 + (-50)\/5 + 5. What is the third derivative of -76*s**3 + 0*s**4 + 63*s**3 - 2*s**4 + s**4 - 43*s**l wrt s?\nAnswer: -24*s - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 17 = -3*b, 19 + 2 = 4*c - 5*b. Suppose -570*h + 572*h = 6. What is the remainder when c is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -d**4\/12 + 1082*d**3\/3 - 585362*d**2 - 15*d + 62. Solve u(l) = 0 for l.\nAnswer: 1082","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 7*p - 5. Let a be u(-5). Suppose -4*g + 72 = -4*j, 0 = -a*g - 4*j - 12 + 66. What is the remainder when g is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l. Suppose v - 4*v + 3 = 0. Does 3 divide k(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q**3 - 2*q**2 + q + 2. Let f be j(-1). Suppose -f*k - 381 = -7*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 930 minus 12577?\nAnswer: -11647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.27748 and -2?\nAnswer: 0.72252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**2\/7 - 238092*o\/7 + 4723983372\/7 = 0. Calculate o.\nAnswer: 39682","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(570)*3 - sqrt(570) - sqrt(570))\/sqrt(10))\/(sqrt(12)*-2) + -5*(sqrt(228)\/(sqrt(12) - -4*sqrt(12)) + (sqrt(19) - (sqrt(2736) + sqrt(2736)*3)))**2.\nAnswer: -1040364\/5 - sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10146?\nAnswer: 2, 3, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 times 0.33061?\nAnswer: -35.70588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22415 is divided by 60?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1964193071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 40 = -0*i + 2*i, 0 = -4*i - 4*f - 104. Suppose 71 + 141 = 4*z. Let b = z + i. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*b + 5 - 45*b**2 - 5*b**4 + 4*b**4 + 8*b - b**3 - 14*b**2 + 15*b in the form m + y*b**4 + f*b**2 + a*b**3 + w*b and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -2 (b) -0.3 (c) -6 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130051216.\nAnswer: 2, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-10339)\/98 - -107)\/(2\/(-68))\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21098?\nAnswer: 2, 7, 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 406\/56 - 2 - (-4 - 85\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**4 - v - 6 + 4 - 2*v**2 - v**3 + 0*v**3 to k*v + h*v**3 + x + p*v**2 + f*v**4 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.7552 + 0.2462. Let n = -0.089 - b. What is n rounded to 1 dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -d**4\/6 + d**3\/6 - d**2. Suppose -2*i + 5 + 47 = 0. Let u = -24 + i. Determine q(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.3 (b) 1 (c) -0.401\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen tenths of a gram in milligrams?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 903647368.\nAnswer: 2, 13, 23, 377779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 11:46 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -10034.\nAnswer: 3\/10034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -483822652 and 79.6?\nAnswer: 483822731.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - 1 - (3 + -4) - (-2217 + 2186)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 14*b**2 - 16*b - 10. Calculate n(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5488, 2\/33, -3059.\nAnswer: -5488, -3059, 2\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -5*z**3 - z**2. Let p(u) = 14*u**3 + 3*u**2. Let d(f) = 17*n(f) + 6*p(f). Let l be d(-1). Let g be l\/15 + 86\/30. Solve 1 = -g*v + 16 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91719577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**2)**(-1\/20)\/(q\/q**(2\/5))**(-2\/17))**12 assuming q is positive.\nAnswer: q**(-81\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -662369*x + 1324743*x - 662374*x + 16838*x**4 + (-x**4 + 0 + 0)*(-1 - 3 + 2) + x**4 + x**4 + 0*x**4.\nAnswer: 16842*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/21 + (-111)\/(-21). Suppose 3*r = 5*q + 18, -o*q + 3*r - 16 = 2*r. What is the tens digit of (-2)\/(-4 - q) - -15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133487399 = 51*u - 119*u - 71*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**2 - w**2 - w**2 + 12*w**2. Let r(p) = -2*p. Determine v(r(t)).\nAnswer: 32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**3 + 20*b**2 - 32*b - 48 = 0 for b.\nAnswer: -6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -132.468 - 0.9359\nAnswer: -133.4039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 + -64 + 48 + 97.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1100 is divided by 56.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.9, -0.2, 0.5, -5\/3, -5\/2 in descending order.\nAnswer: 0.9, 0.5, -0.2, -5\/3, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1075*o**2 - 3*o**3 + 20*o**4 - 2*o**4 - 43 + 1075*o**2 + 53*o**4 + o wrt o.\nAnswer: 852*o**2 - 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1019*l**3 - 3348 - 237*l**3 + 270*l**3 wrt l?\nAnswer: 3156*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34.7 + -6.3. Let x = o + 27. Let k = 15 + x. Sort 0.2, k, 2\/9.\nAnswer: 0.2, 2\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 100394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -9 + 18 + -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370 is divided by 51.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**19*r**(1\/14))\/(r**(-11))**(-18) assuming r is positive.\nAnswer: r**(-2505\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7676 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 215 + 197 = 426 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -41*l**4\/6 - 3*l**3\/2 + 39*l**2. Let m be k(-2). Let d = m + -217. Calculate the highest common factor of d and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.76978l in millilitres?\nAnswer: 92769.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -6562362?\nAnswer: -6562362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -159, -176, -197, -222?\n\"Answer: -2*o**2 - 11*o - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 4 - 0\/1. Suppose -c + 2*u = p, 7*c = 4*c + u - 16. Is -2*(-9)\/c - -33 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/330 and -79\/10?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, y: 3, v: 1, g: 1, q: 3, j: 6}. What is prob of picking 4 e?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*k**4 - 104*k**2*r**2 + 2*k*r**2 + 116*k*r wrt k?\nAnswer: 36*k**2 - 208*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + (43 - 7) - 49?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -101103201 - 3040?\nAnswer: -101111241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 3*y**4\/4 + 5*y**2\/2 + 11*y - 87. Let t(b) = b**3 + 2*b + 5. Determine 2*l(k) - 5*t(k).\nAnswer: k**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.23 rounded to 0 dps?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 - 1)*(3*n + 4*n - 6*n) - 2*n + 0*n + 0*n - 2*n - 5*n + 3*n)*(0*n**4 + n**4 - 2*n**4 - n).\nAnswer: 8*n**5 + 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20381324 is divided by 37954?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 54.07454453 - -1.08\nAnswer: 55.15454453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 2:53 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-1 + (-1 - -1) + (-3 - -21))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/40 + (-1)\/(-12). Let l = 0.47 - -0.03. Which is the smallest value? (a) m (b) l (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -20*((-36)\/(-10) + -4). Suppose -178 = -c*t + 6*t. Let m = t + -7. What are the prime factors of m?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -169 - -223. Calculate the remainder when z is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-174 - -121) + -11 + (5 - 25)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -17555, -14280, -11001, -7718?\n\"Answer: 2*h**2 + 3269*h - 20826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1374, 2603, 3834, 5067, 6302, 7539, 8778?\nAnswer: 10019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 8:45 AM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4*6\/8 + 60 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 34 (c) -52 (d) 5 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(5) + 3 + sqrt(2))**2 - sqrt(6)\/sqrt(108).\nAnswer: 71*sqrt(2)\/6 + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 106\nAnswer: -1\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millisecond in microseconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6*-42*19\/(-19).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (10 - 23) + -20\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 6*q + 2*k + 2 = 0, -4*q = -5*k + 7. Factor 10*b**2 + 20*b - 22*b**q - 60*b**2 + 7*b**3.\nAnswer: b*(b - 10)*(7*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.607 and 5.4175.\nAnswer: 3.2884225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*g + 5*o, 0*g + o + 7 = 3*g. Suppose -g*v = -5*v + 15. Solve 3*j = 8*j - v for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -114*x. Let f(h) be the third derivative of -h**5\/30 - 2*h**2 + 2. Give f(r(z)).\nAnswer: -25992*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -75550 (base 9) in base 15?\nAnswer: -ec4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1024143 (base 6) to base 16\nAnswer: c3ff","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2794*x + 4*m + 40 = 2790*x, 5*x - 50*m - 225 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2599 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -v**4 - 910643*v**2 - 60937643*v?\nAnswer: -12*v**2 - 1821286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 397279009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8581, -8755, -9045, -9451?\nAnswer: -9973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 2*t**2 + 4*t. Let b be c(3). Let m be 0 - 4\/(-6)*b. Which is bigger: m or 4\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26ce (base 16) to base 11.\nAnswer: 7511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9 + -1*2 + 0. Suppose 13 = -6*u + 43. Let b = u - w. Is b less than -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 61176.5.\nAnswer: -6117.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 0*n. Suppose -5*j + j + 316 = n. List the prime factors of j.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/598 and 73\/1723666.\nAnswer: 22407658","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f - 3. Let j(b) = -b + 4. Let o(s) = 3*j(s) + 4*v(s). Let x(a) be the third derivative of 83*a**5\/60 + 977*a**2. Calculate x(o(y)).\nAnswer: 83*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 7*y + 8. Let i be f(-6). Find the third derivative of u - u - u**i + 0*u**3 + u**3 wrt u.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -641082, -2564367, -5769844, -10257513, -16027374, -23079427, -31413672?\nAnswer: -41030109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 5*s + 5, 106*s - 4*l + 5 = 101*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 4*n**2 + 4*n - 1. Let w(r) = r**2 - 2*r - 12. Let j be w(5). Determine b(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2422 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**5 - 186*d**4 - 1581*d**3 + 2144*d**2 + 3540*d = 0.\nAnswer: -177, -10, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*-4*-4 - sqrt(77)*-5*2)\/((sqrt(175) - 2*(sqrt(175) - (sqrt(175) - (sqrt(175)*1 - sqrt(175)))))*4).\nAnswer: 13*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 4*b. Suppose b*z + 3*z - 6 = 0. Suppose -13 - z = -5*x. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 14) to base 3.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 7. Let y = 148423.0879 - 148435.08790019. Let t = q + y. Round t to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-47)\/(-4) - 4\/(-16). Let n be (2 - h\/4)\/(-1). Suppose -5*f = n - 11. Solve 5 = -f*d - 3 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n**6\/1080 + n**5\/180 + n**4\/72 - n**3\/2 + 4*n. Let a(o) be the second derivative of r(o). Suppose a(c) = 0. What is c?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3157 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4038 - -4092. Solve 84 = 6*q + g for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 407 (base 12) to base 13\nAnswer: 35b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14855541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - -0.2. Let f = -5 - -2. Which is the biggest value? (a) 0.5 (b) f (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - x + 3*x)*(2 + 0 + 0) - 5*x + 4*x + 0*x + (65 + 42 - 46)*((-1 + 0 + 2)*(-4 + 4 + 2*x) + x - 21*x - 4*x).\nAnswer: -1341*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x + 6. Let w be h(-8). Let k(m) = -9*m - 1. List the prime factors of k(w).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-82 + 76)*6\/4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 845250 and 10350.\nAnswer: 2535750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112879067 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 23*m. Let z be h(1). Let y(n) = -2*n**2 - 44*n - 11. Let b be y(-21). Suppose -v - b + 44 = 0. Solve 3*q = -r + v, q - 2*r + z = 6*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 7. Let n be (2\/(-110))\/(2\/4). Let x = n + -104\/165. What is the closest to w in -2, -4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + 23. Let c = -7 - -7. Solve c = 2*p + 4 + x for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, o: 4, y: 2, l: 9}. What is prob of sequence oq?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5*m + 87. Suppose 2*x - 49 + 2 = 3*k, -5*x = 4*k + 78. Let u be b(k). Solve 3*n = 4*z + 6, 4 = u*n - 0*z - z for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-472236)\/2124*30\/115.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**11))\/(q**(6\/7)\/q)*q**(-29)*q*q**(-1\/20)\/q assuming q is positive.\nAnswer: q**(-2507\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12791801663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32 - -37) + 29 - 10 - 29?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x**2 - 11628*x - 11591*x - 10*x**2 + 23255*x to g + l*x + n*x**2 and give l.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -9*f - 3. What is the remainder when c(-3) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 26 = -2*j, -5*j = -133*c + 134*c - 43. Solve -1566 = j*m - 1524 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4817149ml in litres?\nAnswer: 0.0004817149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/853570 and 59\/49470.\nAnswer: 248388870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5885887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 516096318 to the power of 1\/2, to the nearest integer?\nAnswer: 22718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-14) - (54\/(-21) + 51\/17). Which is the nearest to t? (a) 1\/2 (b) -3 (c) -4\/3 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1715 - -1766. Solve -g = -9*d - 42 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n**3 - 6*n**2 - n + 6. Let k(l) = -4*l**3 + 5*l**2 + 2*l - 5. Let w(f) = -5*c(f) - 6*k(f). Find the second derivative of w(j) wrt j.\nAnswer: 54*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1807, -3618, -5431, -7246?\n\"Answer: -x**2 - 1808*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -15. Let t be (a\/(-12))\/((-2)\/6). Let n(o) = o**t - o + 6*o - o**3 - 4*o - 3. Determine n(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58 - 33 - 9*y**3 - 25.\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1128 times -0.98\nAnswer: 1105.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2633475474.\nAnswer: 2, 3, 7, 17, 1229447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2677 - 1178. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.6, -1\/3, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r - 4*r - 3*r)*(2*r - 5*r - 2*r) - 88*r + 7*r**2 - 98*r + 177*r as x + w*r + l*r**2 and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**5 + 525*c**4 - 24027*c**3 + 274155*c**2 - 833850*c = 0. What is c?\nAnswer: 0, 5, 10, 51, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4 - 16*d**3 - 220*d**2 + 2250.\nAnswer: 2*(d - 15)*(d - 3)*(d + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33 - 20?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -23*o**2 - 11*o + 9. Let j(n) = -4*n. Let q(z) = -5*j(z) + p(z). Let x(d) = 6*d**2 - 2*d - 2. Determine -2*q(y) - 9*x(y).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -7 (b) 0.2 (c) -0.3 (d) 4\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19866 by -946.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = s + 2*a, 2*s - 19*a - 11 = -14*a. Solve 5*p + 8 = 2*y + 2, -4*p - 9 = -s*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(65) + (sqrt(65) - sqrt(65)*-3*-4))\/sqrt(5) + 5*sqrt(39)\/(sqrt(21)\/sqrt(7)).\nAnswer: -5*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a + 5. Give z(11).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 128595382 and 128595382 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-2*(sqrt(143) - (sqrt(143) + (sqrt(143) + sqrt(143)*-2 - sqrt(143)))))\/(sqrt(704) - sqrt(11))*6)**2.\nAnswer: 96*sqrt(13)\/7 + 7684\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d - 3. Let i(z) = 2*z - 5. Let r(o) = 2*i(o) - 3*k(o). Let b(w) = -5*w + 7. Determine b(s) + 6*r(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 52265 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12026 = -12*c - 434. Calculate the remainder when c is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 3*g + 14. Let m be (-13)\/((-1638)\/628) - (-8)\/14. Let h = m + -91\/18. Which is smaller: g or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 195733292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*g - g. Let q = -2 + 6. Suppose 3*u - 2*u = 3, 32 = q*p + 4*u. Solve 4*o - g*x = 15, -p*o + 20 = -0*o - 4*x for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -70 + 48. Let y = -16 - r. What is the remainder when 28 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/87 and 40\/12939717.\nAnswer: 375251793","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 6*m**4\/11 + 2830292*m**3\/11 + 333769259792*m**2\/11 - 890074316404*m\/11 - 333776807286\/11 = 0.\nAnswer: -235859, -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/3)\/(-4))\/(4\/(-36))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*i**5 - 412*i**4 - 14*i**3 + i + 671430 wrt i?\nAnswer: 120*i**3 - 4944*i**2 - 84*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**4 - 102*r**3 - 312*r**2 - 314*r - 105 = 0.\nAnswer: -1, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 5 = -5*j, 2185*j - 4*d - 55 = 2182*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 3*x + 0*x)*(4*x + 0*x - 2*x)*(-x + 3*x + 2*x).\nAnswer: 32*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 40 = -5*a - f, 11 = -3*a - 4*f. Let u(h) = -7*h - h**3 - 6*h - 18*h**2 - 8*h + a. Is 18 a factor of u(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2432*i*r**2 + i*r - i - 72 wrt r.\nAnswer: -4864*i*r + i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 46880 times 4?\nAnswer: 187520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 997 divide 385036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 14 - (-82 - -60)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(4\/15))\/w**(5\/7))\/((w\/w**(1\/5))\/((w\/((w*w**(2\/17)\/w)\/w))\/w)) assuming w is positive.\nAnswer: w**(181\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-37422)\/3564*1\/(-378).\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1057231 + 1057231 + 8*s**3.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*h - 132 - 634 - 734 = 0 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 4 - ((1 - 1) + 7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2\/(c**(-3)*c)*(c**(-1\/5))**(12\/5))**(-44) assuming c is positive.\nAnswer: c**(-3872\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 2106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -19 (b) 292\/7 (c) 3 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*w + c, 0 = 3*w - 4*c - 2. Sort w, 2, -5 in decreasing order.\nAnswer: 2, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104 divided by -1\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 15392?\nAnswer: 76960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/13 - -34\/65. Sort -0.2, -6, c, -1 in decreasing order.\nAnswer: c, -0.2, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -111*v + 2326. Give x(21).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 341, 1345, 3013, 5345, 8341?\nAnswer: 12001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, -2, -1290624, 1 in increasing order.\nAnswer: -1290624, -2, 1, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 2:35 PM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37102.98 - 37251.9797. Let l = -149 - s. What is l rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (2 - 8) + 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/(u*u**6))\/u)\/(u*u**3))\/(u**5*u\/(u**(-2\/21)*u)))\/((u\/u**(2\/7))**(-12\/17)*u**(1\/3)*u**(3\/5)) assuming u is positive.\nAnswer: u**(-9832\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 366\/(-18)*(-39)\/26*2 + -11.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1132862632?\nAnswer: 2, 11, 12873439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1026 and 1349?\nAnswer: 72846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -32. Let g = r + 14.0000035. What is g rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1025133600 rounded to the nearest one million?\nAnswer: 1025000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -532.34 + 525. Let o = l - -12.34. Which is the third biggest value? (a) 0.5 (b) 0.1 (c) o (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 times 519\nAnswer: -3633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 3*s + 1. Let u(z) = -2*z**2 + 6*z + 2. Let j(r) = -2*r**2 + 9*r - 8. Let v be j(4). What is v*u(k) + 9*f(k)?\nAnswer: -k**2 + 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -29 * 0.45\nAnswer: -13.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -464866 divided by 1?\nAnswer: -464866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3\/3 + 1252*g**2\/3 - 32864*g + 32448.\nAnswer: -4*(g - 156)**2*(g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(448) - sqrt(7)) + 0)**2 - (sqrt(7) + 4 + sqrt(7))*3).\nAnswer: -12*sqrt(7) + 662","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*v + 12*v + 7*v - 10*v + 2405 as d + h*v and give d.\nAnswer: 2405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-1) + -1 + 0. Let h = f - 13. Calculate the remainder when 19 is divided by (-4)\/(-14) - 94\/h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**3 + 19*q**2 + 11*q + 15. Let b be u(-9). Let f = 2443 + -36593\/15. Calculate the common denominator of (-564)\/(-12)*2*b\/198 and f.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from altaatacvavlaactcal. What is prob of sequence lt?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - -0.30126?\nAnswer: 0.70126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*0.069.\nAnswer: -0.483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -9*y**2 - 13*y - 9. Let f be u(-1). Suppose 3*c + 10*k - 28 = 5*k, 3*k = 15. Put f, -1, c in ascending order.\nAnswer: f, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -5*j - 3. Suppose -3*z - 2*z = -4*d - 12, 4*d = -3*z + 20. Let a = 22 - d. What is the remainder when t(-8) is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seventeen quarters of a meter?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 117, 227, 337, 447, 557, 667?\n\"Answer: 110*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 171, -4, -15, -25, 13.\nAnswer: -25, -15, -4, 13, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - (4 + (-7)\/1). Suppose 0*m + 4*m - 24 = 0. Suppose -u = -m*u + 5. Is d >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - 0. Let d = -1.00017 - b. Round d to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11487 + -6562. Suppose 6*z = z + m. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -46, -180, -404, -718?\n\"Answer: -45*l**2 + l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7c + 1?\nAnswer: -7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19426 is divided by 3672.\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**2 + 99. Let v be g(0). Let k(u) = -v*u - 98*u + 300*u - 99*u. Let t(d) = 5*d - 1. Give t(k(p)).\nAnswer: 20*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 16 = 3*h, 3*h + 2*h + 2*f = -6. Let r(o) = -24*o + 25 - 2*o - 8 - 10. Is r(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1909 + -1907. Sort 4, j, 0.3, 106\/3 in decreasing order.\nAnswer: 106\/3, 4, j, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*z - 2*q, 0 - 6 = -3*z + 2*q. Solve -2*t - 22 = -4*p, z*p + 5*t - 1 = -14 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v + 2. Let o be r(7). Let w = 15 - o. Find the second derivative of -3*x**2 + 4*x**2 + 4*x**2 + 0*x**2 + w*x wrt x.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 5*b - 121. Let z(h) = 77*h - 1813. Let f(y) = -91*v(y) + 6*z(y). What is the units digit of f(38)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 15 = -2*p. Put -1, -7, p in descending order.\nAnswer: -1, p, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -88884?\nAnswer: 355536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 64\/593 - 87643\/224154. Calculate the common denominator of y and 181\/30.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*s + 83*s = 300. Calculate the greatest common factor of 204 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -34*q + 201 - 404 + 201. Let d(p) = -5*p**2. What is d(r(v))?\nAnswer: -5780*v**2 - 680*v - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (994\/(-70) + 14)*-1 + (-3773108)\/(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3522 a factor of 131578398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**5 + 184*y**4 - 1436*y**3 - 9536*y**2 + 12880*y + 20800 = 0. What is y?\nAnswer: -52, -5, -1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2 + 0 + 0 - 3 - 37*l. What is the tens digit of a(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3596*s + 3835. Calculate d(1).\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103738794 is divided by 49?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1541610 and 180.\nAnswer: 3083220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 388 and 2231.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m - 5. Let t = -18 + 28. Does 5 divide r(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 27*z**2 + 2*z + 2. Let w(j) = 2*j**3 - 26*j**2 - 3*j - 3. Determine 3*b(r) + 2*w(r).\nAnswer: r**3 + 29*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 12:50 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16500016 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 3 = y. Let s(o) = o - 1 - 2*o + y*o. What is the remainder when 8 is divided by s(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**3 - 26*k**2 + 62*k - 224. Determine t(11).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-4 + -10) - 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*w**2 - 122*w**2 + 40*w**2 + 60*w**2.\nAnswer: 39*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/4 and 7\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-72*o + 10*o + 10*o)*(26*o - 72*o - 188*o - 44*o - 70*o) to the form j*o + d + s*o**2 and give s.\nAnswer: 18096","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 25877545 to the power of 1\/2, to the nearest integer?\nAnswer: 5087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -45 + 0?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 a factor of 189995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4126150 - 373?\nAnswer: 4125555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -924732, -924704, -924662, -924606, -924536, -924452?\n\"Answer: 7*z**2 + 7*z - 924746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*i + 0*i - i)*(-3*i + 0*i + 5*i) - 2*i + 2*i + 2*i**2 + 3*i**2 + 0*i**2 - 4*i**2 + 4*i**2 - 2*i**2 - i**2)*(i**3 - 4*i**3 - i**3).\nAnswer: -24*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/(-5)*(-10)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-55)\/44)\/((-1)\/4). Let o(u) = -2*u**2 - 39*u - 15. Let a be o(-19). Solve 0*t - s*j - 37 = -4*t, -2*t + a*j = -26 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.35 + 0.3500008. What is s rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 107 and 8?\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4566 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {a: 1, z: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4506\/7 + -644. What is the biggest value in 4, -38, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-5*(0 + sqrt(304) + sqrt(304)) - (-5 + (sqrt(304) - (-1 + sqrt(304))) - sqrt(304))**2) + (-2*(sqrt(171))**2*-2 - (sqrt(304) - -5*-1*sqrt(304))).\nAnswer: -56*sqrt(19) + 367","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(91) + -1*(sqrt(91) - (-1*sqrt(91) + sqrt(91))) - sqrt(91)) + (2*sqrt(91) + sqrt(91) - sqrt(91))*-3)\/((sqrt(847)*-1 - sqrt(847))*-1))**2.\nAnswer: 637\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9408449.30000013 + -9408441.3. Let t = u + -8. Round t to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23.7, -3, -2\/29, 1, -3\/7 in descending order.\nAnswer: 1, -2\/29, -3\/7, -3, -23.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -11 + 20. Let z(y) = y**2 + 3. What is z(h)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 4*l - 5. Let r be c(7). Let t be r\/(-3) - 18\/27. Let m(k) = k**3 + 6*k**2 - 8*k + 2. Is m(t) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-910)\/(-741))\/(-14))\/((-60)\/(-72))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (g + 0 + 0 + (-1 + 4 - 5)*(-2*g + 2*g + g))*(39*g - 13*g - 58*g) as i*g**2 + x*g + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -452316 divided by 150772\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2641, -2635, -2629, -2623, -2617?\n\"Answer: 6*y - 2647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*q - 34*q - 1 = 0. Calculate the remainder when q is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -i**10\/630 + i**6\/360 + 4*i**3\/3 + 2. Let h(o) be the third derivative of w(o). What is the third derivative of h(u) wrt u?\nAnswer: -960*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 398*-3\nAnswer: -1194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6822.\nAnswer: 2, 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 17399?\nAnswer: -17402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 6*t + 341. Let d be s(0). What is the greatest common divisor of d and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*t**2 - 37*t - 9*t + 129 + 45*t.\nAnswer: -20*t**2 - t + 129","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(198)\/(sqrt(81)\/sqrt(9)))\/(sqrt(99)\/(sqrt(18)\/sqrt(2))) + 0.\nAnswer: -4 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5367*n + 3065*n - 5592*n - 2489*n)*(2*n + 0*n - n) in the form g*n**2 + f + l*n and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 72\/90*10\/4. Suppose 69 = p*d - 5. Let y = d + -36. Which is smaller: y or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -750*l**3 + 17145 - 17145 + (l**2 + l**2 - 3*l**2)*(l + 0*l + l) + 2*l**3 - 5*l**3 + l**3.\nAnswer: -754*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93314, -93313, -93312, -93311, -93310?\nAnswer: -93309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0.1. Let f = d - -0.1. Let w = f - -1. Do 0.1 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1296) + -6*4*sqrt(1296) + sqrt(1296))\/(6*(sqrt(288)\/sqrt(9))\/sqrt(4))*-3)**2.\nAnswer: 19602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 9*c + 5. Let j be n(-9). Let v be -8 + (3\/2)\/(48\/320). Put -4, j, v in descending order.\nAnswer: j, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-138)\/182)\/(1870\/2023). Let h = v + 9\/65. Calculate the common denominator of -133\/12 and h.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*c + 4 = 0. Let i(a) = -3*a - 60. Let v be i(-29). Suppose 3*j = 4*g - v + 8, j - 2*g + 3 = 0. Sort 1, c, j.\nAnswer: j, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eleven halves of a meter?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26360 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrf when three letters picked without replacement from {n: 3, r: 3, c: 4, f: 6, l: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.756935185 + -0.342?\nAnswer: -4.098935185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/230 and -7\/138.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2566301580 to the nearest integer?\nAnswer: 1369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o**2 + 2*o - 2. Let j(d) = 6*d**2 - 8*d**2 - 3*d - 4*d + 13*d - 4*d - 2. Calculate -5*j(l) + 4*r(l).\nAnswer: -2*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -94 - -100. Let k(r) = -j*r**2 + 29*r**3 - 3 + 0*r**2 - 7*r - 13*r**3 - 15*r**3. Suppose 0 = 2*m, 0 = 3*y + m - 21 - 0. What is k(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 385*m + 8. Calculate the remainder when x(2) is divided by 46.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*c = -4 + 5, 3*g + 9 = -3*c. Let d = g - -13. Suppose -n + 67 + 165 = i, -2*i + d*n = -450. What are the prime factors of i?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10367, -14135, -17905, -21677?\nAnswer: -25451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u - 12*u + 10*u)*(-4 + 2 + 3) to j*u + z and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3901?\nAnswer: 47, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272) + -1 - sqrt(204)\/sqrt(588).\nAnswer: -1 + 27*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 4 - 8)*(2 + 2*o**3 - 2).\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 3:33 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*j + 185*j - 1 + 2.\nAnswer: 88*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.122251 and -3597.\nAnswer: -3596.877749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3993 and 8107?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (7 + -3) - 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*h - 109*h - 42 - 28 = 0 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2574, -5978, -9382, -12786?\n\"Answer: -3404*z + 830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = -8*x + 30. Let d(h) = -3*h - 34. Let y be d(x). Let a be (y - -1 - 0) + -1. Solve 3*z = 2*i - 7, 3*z + a = 3*i - 5*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269834795.\nAnswer: 5, 17, 67, 47381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 h, and 1 v when three letters picked without replacement from {h: 2, v: 2, z: 7}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 273 = 6*t. Suppose 0 = -2*m + 3*b + t, -4*b = -2*m + 6*m - 132. Let w be (-30)\/40 - m\/(-8). Solve n = -w*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -5*b - 358 + 241, 79 = -4*t - 3*b for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3397190 and 107734?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79684?\nAnswer: 2, 11, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 19*f**5 + 31*f**4 + 6*f**3 - 8*f**2 + 2*f + 2. Let c(h) = h**5 - h**4 - h**3 + 2*h**2 - h - 1. Let o(l) = 6*c(l) + 3*q(l). What is a in o(a) = 0?\nAnswer: -1, -2\/3, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 6*t. Let h(r) = 73*r - 2. Give h(l(s)).\nAnswer: 438*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/181 - -548\/905. Let -1\/5*d**4 - 2\/5 + 1\/5*d**3 + j*d**2 - 1\/5*d = 0. What is d?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - ((3 + -7 - 3) + (-118 - -128))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/33)\/(i*i\/(i**(15\/4)\/i))*(i**(2\/69)\/i)\/i*i\/i**(-2\/9) assuming i is positive.\nAnswer: i**(287\/9108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 68903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*b = -92*b - 96*b + 45 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 126625 = -8*s + 25*s. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1352 + -65993.\nAnswer: -67345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 213 (b) -18 (c) 2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2\/5, 13.147, -5, 5 in ascending order.\nAnswer: -5, -2\/5, -0.1, 5, 13.147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 + 55 - 28*l**2 - 75 - 2*l to the form t + o*l**2 + j*l and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/46641 and 137\/6.\nAnswer: 93282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*4*(-4*sqrt(68)*-1)\/sqrt(4).\nAnswer: 64*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20268 is divided by 405.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 1769*s + 4. Let h(q) = -988*q**2 - 991*q**2 + 1977*q**2. Give p(h(w)).\nAnswer: -3538*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**6*x**(-2\/19)\/x)\/(x**0)**49 assuming x is positive.\nAnswer: x**(-116\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9663595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 - -28. Let t be (-9)\/p + (-9)\/3. What are the prime factors of ((-4)\/t)\/((-16)\/(-1896))?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 104785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 594024?\nAnswer: 1782072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -234 + -4211320?\nAnswer: -4212104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -153770 (base 13) to base 5.\nAnswer: -113200323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, h: 18}. What is prob of sequence ehh?\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 670.3*-97838\nAnswer: -65580811.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*z - 26664 = -65*z + 248*z + 174*z for z.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*5 + -5 - sqrt(11) - sqrt(275)*-5)*2.\nAnswer: -10 + 58*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mymyn. What is prob of picking 2 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2823780*s. Let v(i) = 8*i + 8. Determine v(x(w)).\nAnswer: -22590240*w + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and 0.736107.\nAnswer: 5.736107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.62 + 0.82. Let j = -0.014 + 12.014. Let i = j + f. Put -1\/5, i, -3\/4 in decreasing order.\nAnswer: i, -1\/5, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66 + -84. Let v = 45 + m. What is the greatest common factor of v and 297?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -4*m + 11, 11*m + 1 = -5*v + 15*m + 32 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-4))\/(9\/(-24)). What is the smallest value in q, -2, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 106809676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4400)\/(-198) + 2\/(-9). Let p be (-11)\/j - 2\/4. Let c = -3\/116 + -141\/1276. Are p and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66742 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14241 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: ((-147)\/(-45) + -3)\/((-12)\/(-60))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3642 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4008 - 4008. Let s(o) be the third derivative of 1\/120*o**4 + h*o - 1\/300*o**6 + 0*o**5 + 0 + 0*o**7 + 1\/1680*o**8 - 17*o**2 + 0*o**3. Factor s(l).\nAnswer: l*(l - 1)**2*(l + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9 - (-2)\/(-1) - 1. Suppose -4*y = -3*a + 84 + 14, -g = -3*a. Let h = y - -205\/9. Sort h, -1\/2, -5.\nAnswer: -5, -1\/2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*y**2 - 3*y**2 + 0*y**2 + (-2*y - 3*y + y)*(-20*y - 5*y - 16*y) + (1 - 5 + 3)*(4*y + y**2 - 4*y) + 0 - 2*y**2 + 0 to b*y + n + d*y**2 and give d.\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3400, 3399, 3398, 3397?\nAnswer: 3396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 + -1 + 0 + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*r + 537 = 0, -3*r = s - 0*r - 113. What is the lowest common multiple of s and 544?\nAnswer: 2176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d**3 - 1 + 1 + 2686*d - 2717*d to a*d + p + n*d**2 + o*d**3 and give a.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-4) + 147\/3. Suppose g - 3*a - 14 = 0, -a - a + k = 2*g. Suppose -5*r - 2*t = -g, 3*t + 3 = -4*r + 20. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6632738 at most as big as 6632739?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26069 is divided by 8685.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9674 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 93.30701 millilitres?\nAnswer: 0.09330701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-188)\/(-10))\/((6\/(-3))\/(-50)). Let q = -422 + f. Is 6 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_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: Let a be 2\/7 - (-29)\/((-9744)\/(-128)). Let g = -0.01 + 0.01. Sort a, 0.4, g, -6 in descending order.\nAnswer: a, 0.4, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 5 = 10, -g = -c + 3. Is (-2)\/(c + (-68)\/33) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 3\/2)*4. Let z = 1 + -2. Let y = -6 - -10. Which is the smallest value? (a) y (b) z (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/3 + -3 + 64799967\/(-9). Round h to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 7408.241.\nAnswer: 7410.241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 30\/20*(-1 + -1)*-1. Solve 4*z = -v*s - 13, 4*s + 2 + 2 = -2*z for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -11*d**7\/210 + d**6\/40 - 5*d**5\/4 - d**3\/2 - 4*d**2 - 18. Find the third derivative of x(s) wrt s.\nAnswer: -264*s + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -9745*o + 39483. Give d(4).\nAnswer: 503","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -7*p + 5. Solve -9 = -5*u + p for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (13\/(-52))\/(1\/8). Let k = 10 + -5. Let z = -5.03 + k. Which is the third biggest value? (a) -3 (b) z (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -11*j**2 - 13*j**2 - 5*j**2 + 27*j**2. Let i(p) = 1 - 1 + p. What is i(n(c))?\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36524 is divided by 1807.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -394, -672, -876, -970, -918, -684?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.200183 to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -c**8\/420 + 2*c**7\/525 + c**6\/30 - c**5\/75 - 4*c**4\/15 - 8*c**3\/15 + 12*c**2. Let t(x) = 0. Calculate x.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.048 - -0.052. Suppose 3*w + 3*a = 21, -3*w + 3*a - 6 = -3. Sort 1\/5, w, j in descending order.\nAnswer: w, 1\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4029250?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 0*o + 2*o)*(1 - 1 - 2*o) + 4*o**2 + o**2 - 4*o**2 - 1 + 1 - o**2 + (-11 + 24 - 6)*(-o**2 - 2*o**2 + 2*o**2) + 2*o**2 - o**2 + 0*o**2.\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 19*k**2 + 158*k + 641. Give o(26).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1643?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1020, 1981, 2942, 3903, 4864, 5825?\n\"Answer: 961*j + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((-7 - -9 - 2 - 0) + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 6 - 19, 3*f = 4*t - 310. What is f rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -26, 0.5, 1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214124 is divided by 375.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10173?\nAnswer: 3, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 252920 and 1239308.\nAnswer: 12393080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 2 + 4)*(3*q + 0*q - 4*q) - 13*q + 66 - 66)*(-3 + 2 + 2).\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 74857.21ml in litres?\nAnswer: 74.85721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1475*m**3 + 2267*m - 2662*m**3 - 2267*m - 2177*m**3.\nAnswer: -6314*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l**3 + 4*l**2 - 13*l + 8. Let c be h(7). Let p = c - -1389. Let a = p - 323. What are the prime factors of a?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1764\/28)\/7 - 17.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1377 = 658*w + 1255 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k + 163*k**3 - 51*k + 34 + 8*k - 160*k**3.\nAnswer: 3*k**3 - 46*k + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -58\/3, -0.043, 4?\nAnswer: -0.043","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -131, -109, -85, -59?\n\"Answer: j**2 + 19*j - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 4, -2, -22, -3 in ascending order.\nAnswer: -22, -6, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 2*j**3 + 15 - 27 - 4*j**2)*(735 + 14*j**2 - 735).\nAnswer: 28*j**5 - 56*j**4 - 28*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -22034750.\nAnswer: -1\/4406950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9)\/54 + (6 - (-139279)\/42).\nAnswer: 2, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*d - 35 = -269*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*j = -715. Suppose 3*l = -46 + 196. Suppose 2*x - 41 - 20 = -5*o, 4*o = -x + l. Calculate the highest common factor of j and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5009463 less than 0.54?\nAnswer: 5009463.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9\/7, -0.5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 72*o**3 - 613956*o**2 + 1329944*o - 375100 = 0. What is o?\nAnswer: 1\/3, 11\/6, 8525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1\/5 (b) -13 (c) 0.4 (d) -19.6 (e) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 + -21. Let t = -50\/93 - 4\/31. Let o be ((-4)\/(-70)*-3)\/(84\/(-140)). What is the fourth biggest value in o, t, x, 2\/19?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20311021 - -30677119. Let m = d - 40366106. Let w be (-2)\/(-3) - m\/(-12). Round w to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**5 + 8*w**4 + 21*w**3 + 22*w**2 + 8*w = 0.\nAnswer: -4, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -12*v**3 - 417*v**2 - 35*v + 13. Let q(y) = -5*y**3 - 2*y**2. Let r(m) = g(m) - 2*q(m). What is the second derivative of r(d) wrt d?\nAnswer: -12*d - 826","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) -2\/7 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 9*s + 3. Let z be p(0). What is the second derivative of 190*x + x**4 - 5*x**z - 136*x + 3*x**3 - 5*x**3 wrt x?\nAnswer: 12*x**2 - 42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2))\/((-5)\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -36*1\/((-5)\/(-15)). Let u = -158 - l. Does -48 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3024 = -21*y + 12*y. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 139770, 279586, 419402, 559218?\nAnswer: 699034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1996 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*x + 12*x - 19*x.\nAnswer: 47*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6117689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178 = 50*w - 72. Suppose 3*l - w*s = 1121, -4*l + s = 4*s - 1485. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.253554 litres in millilitres?\nAnswer: 1253.554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*g - 20317 + 4779, -3*g + 23319 = -3*v. What are the prime factors of g?\nAnswer: 19, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 159 + -88. What is the remainder when w is divided by ((-2)\/(-3))\/(600\/(-1296) - 1\/(-2))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -2)*-4*(-2)\/(-24)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1799182767.\nAnswer: 3, 599727589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*p - 17 = -56*p - 5*c, -3*p = -2*c + 31 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 100 = 14*p, -5*v = p + 28 - 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9 * 0.2\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -588*y + 6237 = -290 + 647 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9611*p**2 - 4974*p**2 - 4581*p**2.\nAnswer: 56*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 492751 is divided by 134.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - 15 - -25 - 8.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5821 - 5823. Which is smaller: t or -935?\nAnswer: -935","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 9:18 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-7 + -13 - 3 - -11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ws when two letters picked without replacement from {w: 1, c: 3, e: 5, s: 3}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5031932, -5031928, -5031924, -5031920?\nAnswer: -5031916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1286, -2063, -2840?\n\"Answer: -777*d - 509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4410 (b) -138 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11677908.0373025 - -11677879. Let j = -29.4373 - l. Let i = 0.4 + j. What is i rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 131 - 127. What is the second biggest value in m, -2\/9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3*n - 4, t - 1 = -2*n + 10. Suppose -n*y + 12 = -0*y. Suppose 8 = 4*a - y. Solve -4*k + 16 = -4*l, l = -5*k + a*k + 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - t - 342 = 0, 5*t + 14 = -2*j + 140. Suppose j = 12*m - 52. Solve 4 = -6*q + m for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/16 + (-304383)\/57840?\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Solve w - 4 = 0, 4*s = -2*w + 1 + 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 7. Let p be o\/2 - (3 + -1). Solve 3*v + y = -5, p*v = 6*v + 4*y + 12 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*q - 0. Let d be 6\/(-3)*q\/1. Solve 5*t + 3*a = -20, d*t - 5*a + 4 = -4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.06096074493 - -0.06096. What is m rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 310 and 2678121?\nAnswer: 26781210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 9\/3)*1 - 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -715562\/65 + 55399\/5. Let v = b - 71. What is the second biggest value in -2, v, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 67901 + -3?\nAnswer: 678cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61373?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57335 is divided by 28652?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*b**5 + 387*b**4 - 20*b**3 - 4033941*b + 2 wrt b.\nAnswer: 560*b**3 + 4644*b**2 - 120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*n**4 + 628*n**3*y - 5*n*y + 54*n - 3*y wrt n?\nAnswer: 36*n**2 + 3768*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12\/8)\/((114\/(-72))\/(-19)))\/(30\/160).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34689 = 17*s - 35386 for s.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5*q**3 + 6*q**2 + 5*q - 4. Let p(c) = 6*c**3 - 7*c**2 - 6*c + 5. Suppose -2*x = 3*x - 35. Determine x*v(j) + 6*p(j).\nAnswer: j**3 - j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0 = f - 8, -5*f = 2*i - 88. Let l be -4*(4 + (-76)\/f). Solve 0 = -3*t + 9 - l for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-12)*(-11 - 1). What is the third derivative of -38*t**c - 10*t**4 + 38*t**3 + 15*t**2 wrt t?\nAnswer: -240*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-546)\/(-364))\/(5\/(-60))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -3\/5*n + 1\/5*n**3 - 1\/10*n**2 - 38 + 1\/20*n**4. Factor i(r).\nAnswer: (r - 1)*(r + 1)*(r + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -696 + 696.08. What is the third smallest value in q, -0.4, -14, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -11.101726\nAnswer: -14.101726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 5*g + 4*s, 65*g + 6 = 64*g + s for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8183, 10, 5, 2, -84 in decreasing order.\nAnswer: 8183, 10, 5, 2, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -0.1086, -2, -43, -4?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p - 39*p - 292 = -1468. Solve 4*q = 4*k + 13 - p, -k - 3*q = 11 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 469 and 203.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4*a - 46, 5*a = 6*g - 4*g - 48. Solve -5*o - 2*n = -g, -5*o + 4*n + 9 = n for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**41)**(-10)*(r\/r**(-4\/25)*r)\/r*r**(20\/7) assuming r is positive.\nAnswer: r**(-71047\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 15*f - 19. Give o(11).\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020112201200 (base 3) in base 2?\nAnswer: 10100001001100110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 13) in base 2?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -2.6. Let d = 0.04 - -0.46. Let z = d + l. Which is bigger: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65136.9613 - -65132. Let d = 0.0387 - r. Put d, -2\/13, -3, -1 in descending order.\nAnswer: d, -2\/13, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -11, 134842?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 831 - 79. Calculate the remainder when 669 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-13 + 4 + 15 + -6)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*6\/21 + 1004\/14. Suppose -15*d - p = -18*d. What is the highest common divisor of d and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 479 = 181. Suppose -5*m + 4*t + z = 3, 0 = -2*m + 3*t + 64. What is the greatest common factor of m and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -372 + -0.1?\nAnswer: -372.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3805 (b) -54 (c) -3 (d) 23 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**5 - n**4 + n**2 - 1. Let w(m) = 11*m**5 + 49*m**4 + 102*m**3 + 86*m**2 + 24*m - 2. Let q(b) = -2*o(b) + w(b). Solve q(l) = 0 for l.\nAnswer: -2, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4272*l = -n + 4277*l - 15, 2*n + 5*l + 30 = 0 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 1656 = -360. Is x a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 9 + 5. Suppose -g*i + 1 = -13*i. Let t be (i - -3) + (4 - 8). Solve q = -t*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47405\/4 or 11852?\nAnswer: 47405\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -4. Let z = g - 5. Let o = 11 - 8. Sort z, o, 5.\nAnswer: z, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + h**2 - h + 2. Let n be w(0). Let l(c) = -6 - c**3 + 0 - 5*c - 5*c**n - c + 2. Let a be l(-4). Solve 2*v - a = 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-2)\/3)\/(-6*(-11)\/(-187407)) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*m + 25, -3*v - 19 = -5*m. Let h = 2.4 - 2.7. What is the nearest to -0.1 in v, h, 7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 640912583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f*i**4 - 230*f*i**3 + 2*f*i**2 + 1706*f + 2*i**3 wrt i.\nAnswer: 24*f*i - 1380*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c + 0*c + 3*c)*(-c**2 + 0*c + 0*c) - 33*c**3 + 24*c**3 - 30*c**3 in the form a*c**2 + l*c + p + s*c**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 6*s**2 + 6*s + 19. Let u be r(-8). Suppose 1876 = 3*p + u. Suppose -5*f = -3*v - p, -2*f + 3*v + 200 = -v. Is 17 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 201734844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - ((7 + -6 - 2) + 14)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2005 + -27973\/14. What is the common denominator of i and -23\/46352?\nAnswer: 324464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**2 - 28*m - 10. Let i be s(-13). Suppose 2*u + z = 8, 4 = 2*u - 5*z - 16. Solve -4*d - u*j + 16 = 0, -3*d - d + j = -i for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9 + 32)*(-1 + -4)*1. Let c be -4*((-27)\/(-6) - -1). Let x = c - m. What are the prime factors of x?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y + 306 - 994 = 0. List the prime factors of y.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - 3 + 3)*(0 - c**2 + 0) + 38*c**3 - 98*c**3 + 43*c**3.\nAnswer: -15*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qttbbttbbtt. Give prob of picking 4 b.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 61 + 327851?\nAnswer: 328022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, n: 14}. What is prob of sequence nni?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.11059 years to millennia.\nAnswer: 0.01311059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - r + 2)*(37*r - 37*r - r**2) + 28*r**3 - 20*r**3 + 19*r**3 as c*r + o*r**3 + u + i*r**2 and give o.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/(((-1139)\/67)\/(-986))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -4, 0.096?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 566*h + 193394 = 160566 for h.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 75347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 - 4*m**3 + 7*m**3 + m**3 - m**3 - 3*m**3 + (4*m + 2*m - 4*m)*(-3*m**2 + 7*m**2 - 3*m**2))*(-3*m - 2*m + 3*m).\nAnswer: -2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 - 10 + 3)*(0*s + 2*s - 3*s)*(3 - 3 - 3)*(9 + 10 - 4).\nAnswer: 900*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-3)\/((-3)\/17) + -7 - 9 - -73291?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/10, -1632, -2, 1\/3?\nAnswer: -1632","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/43 or 2\/198213?\nAnswer: 2\/198213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - ((-1 - 2) + -20). Let t be x\/8 + 3\/12. Suppose 2*g = -t*g + 340. List the prime factors of g.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -341 - -233. What is the smallest common multiple of 8\/(-12)*o\/8 and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m + 25. Let z(y) be the third derivative of y**5\/20 + 95*y**2. Determine t(z(d)).\nAnswer: -6*d**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -275, -1049, -2337, -4139, -6455, -9285?\nAnswer: -12629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1001122011 (base 3) to base 4\nAnswer: -11012023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/2*(-16)\/(-12). Let s(f) = -a*f + 5 - f**2 + 3*f + 0. Let l be s(-4). Which is smaller: l or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 3*x - x**3)*(0*x + 0*x + 2*x) + (x**3 + 0*x**3 - 3*x**3)*(22*x - 2*x + 11*x + (-1 - 4 + 6)*(x + 0*x + 0*x)).\nAnswer: -66*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(800) + sqrt(2) + (sqrt(2) + 1)*-2*2.\nAnswer: -3 + 17*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4128 by -119.\nAnswer: 4128\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**3 + 101*l**2 - 125*l + 73. What is the thousands digit of b(-47)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7290*l + 385776 = 2862*l for l.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 309 - 95. Suppose 4*x - b = 38. Is 22 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 (base 16) in base 3?\nAnswer: -1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/374 and -55\/48?\nAnswer: 8976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -6*z**2 + 2*z - 28. Let t(d) = -7*d**2 + 2*d - 28. Give 5*f(r) - 4*t(r).\nAnswer: -2*r**2 + 2*r - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(2\/7)*(k*k**(4\/5))\/k)\/(k**(-18)*k)**(5\/3) assuming k is positive.\nAnswer: k**(3134\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d = 4*d - 75 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 341?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 8 = 2*w, 4*w = 3*y - 2174 + 2165 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 135259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 333057787?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 5*w**2 - 3*w**2. Let l(a) = 891*a - a**2 + 4*a**2 - 891*a. Give l(u(r)).\nAnswer: 3*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/7032 and -77\/548496.\nAnswer: 548496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 14. Let i(v) = -9*v**3 + v**2 + v - 1. Let j be i(q). Let y be (-4)\/j - 69\/(-2). What is the greatest common factor of 14 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86937347 to the power of 1\/2, to the nearest integer?\nAnswer: 9324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 9*z**2 - 6*z - 19. Let a be f(-8). Let t be a\/3 + -5 + 12 + -4. Calculate the highest common factor of 85 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -dd8c - -3?\nAnswer: -dd89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v + 3*v - 48 = 0. Suppose 24 = 2*x - 2. What is the least common multiple of x and v?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -492 and -1476?\nAnswer: 984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/27, 3\/7, -3\/4, 0.6, -4.\nAnswer: -4, -3\/4, -2\/27, 3\/7, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90296360 divided by 7315.\nAnswer: -12344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l. Let a(k) be the third derivative of -k**5\/120 - 17*k**4\/24 + 77*k**3\/6 + 26*k**2. Let d(z) be the first derivative of a(z). Determine d(s(i)).\nAnswer: 2*i - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 + 28*t**2 - 56*t - 192.\nAnswer: 4*(t - 3)*(t + 2)*(t + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y - 3. Let m be n(-4). Let v = -8 + 13. Let i = -392\/13 - -30. What is the nearest to m in 4, i, v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, v: 5, n: 8}. What is prob of picking 1 v and 1 n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 225 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 492008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -525486810 divided by 114585\nAnswer: -4586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 124 and 67818731.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5\/4 - -179\/20. Which is smaller: 9 or w?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*x**5\/11 - 40*x**4\/11 - 42*x**3\/11 + 40*x**2\/11 - 8*x\/11 = 0. Calculate x.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 12:15 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51.5668 - -51.2. Let n = x - -0.37. Round n to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -2*q**3 - 10*q**2 + 7*q. Is 28 a factor of s(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5546026.\nAnswer: 2, 53, 52321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 15*u**2 + 16*u + 28. Give m(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 639 - -1438. What are the prime factors of g?\nAnswer: 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**3 + 2*b - 4*b + 3*b**3 + (17*b - 35*b + 14*b - b + 2 - 2 + (-1 + 1 + 2*b)*(-4 + 5 - 3) + 13 + 15*b - 13 + b - 3 + 3)*(-5 - b**2 - 2*b + 5).\nAnswer: -8*b**3 - 14*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.758 - 0.172. Let h = 0.13 + k. Let j = 7 - h. What is j rounded to 0 decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08 and -7442.\nAnswer: -595.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5*u + 374, 5*u - 2*u = z + 224. Let v = u + -22. Suppose 5*y = 107 + v. What is the remainder when y is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000002600349 rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-7 - -6) - 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-10))\/(9\/15) + (-2914)\/(-372)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.55 - -13.15. Let u = o + -13.699764. Round u to 5 decimal places.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5686, -5606, -5536, -5482, -5450, -5446, -5476, -5546?\n\"Answer: -b**3 + b**2 + 84*b - 5770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 21*v**2 + 3*v - 54. Suppose 0 = 4*q + 3*x - 78 - 6, 84 = 4*q + 5*x. Let l be r(q). Solve -6*n - 9 = -l*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14 - 29?\nAnswer: -3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 4151976?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 685297566?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1101 + -11?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1340 by 29.\nAnswer: -1340\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a decade?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 615230683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2077*y**2 + 15*y - 5. Is l(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00044802877 rounded to 7 dps?\nAnswer: -0.000448","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10821*y = -10820*y - 9 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 4:10 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/25? (a) 2\/5 (b) -0.4 (c) 0.5 (d) -2\/3 (e) 2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4\/3 (b) 1.31 (c) -0.1 (d) 2 (e) -2\/5 (f) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10c (base 14) to base 5\nAnswer: -1313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -80*a + 130. Let v be q(2). Let u = -24 - v. Solve -u*t - 15 = -3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72706?\nAnswer: 2, 36353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -6*b**2 + 3*b + 7 + 0 - 1430*b**3 - 1394*b**3 + 2825*b**3. Give t(7).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -50*r**3\/11 + 366*r**2 - 5956*r\/11 - 3792\/11 = 0. What is r?\nAnswer: -12\/25, 2, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 25 - 1 = -3*s, 0 = -v + 4*s - 2. Let c = -3 + v. Suppose -z = -0*z - c. Solve -5*m = 2*q, -29 + 8 = -z*m + 3*q for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/84 and 101\/462.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-7)*s*s*s**(3\/7)*s)\/(s**(-2\/7))**6)\/((s**(-1)\/s)\/((s\/(s**(-3)\/s))\/s)*(s**(1\/2))**0) assuming s is positive.\nAnswer: s**(36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*m - 304 = 2*f - 50*m, f - 3*m + 156 = 0. Let z(k) = 1445*k. Let p(u) = 19*u. Give f*p(c) + 2*z(c).\nAnswer: -17*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1184352 is divided by 209?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 9:30 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 0 + 9. Suppose -33 = -5*b - 2*p, 2*p - 13 = -k*b + 10. Let y be 2 + 12\/((-9)\/(-3)). Solve b*z + y = 2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzvzzzzzzzzvzzvzzzzz. Give prob of sequence vzzv.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (374\/(-748))\/(((-1*2)\/(-152))\/(30\/(-20)))\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 32 + 59 = l, -2*z - 345 = -5*l. Calculate the remainder when l is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 17 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 8 = 3*s, 15*d - 20*d + 20 = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + -14. Let w = -18 + i. What are the prime factors of (w\/(-6))\/(4\/32)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 613871244 to the power of 1\/2, to the nearest integer?\nAnswer: 24776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -12 (b) 0.12 (c) 30\/11 (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n + 32. Let a(p) = -4*p + 29. Let r(v) = 5*a(v) - 4*i(v). Determine r(-4).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4342 is divided by 106?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-390)\/(-130) + 37\/(-6) + 45\/27.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-78497\nAnswer: -39248.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 637395 is divided by 130?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 265374.\nAnswer: 2, 3, 23, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -104441604 (base 7) in base 14?\nAnswer: -ba4874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*x = -157*x + 25, -11*y + 3*x = 26 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 1304?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(36)\/sqrt(96))\/(sqrt(14)\/(-2*sqrt(7)*4)).\nAnswer: -10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3252 - -0.4252. What is the smallest value in p, -0.5, 104?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000010877 to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 12:08 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21233*o - 10615*o - 10620*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 49.7 and -4.\nAnswer: 45.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 42*w**2 + 16*w - 8. Let y(g) = -21*g**2 - 8*g + 4. Suppose -12*q + 63 = -9. Let f(u) = q*p(u) + 14*y(u). Factor f(x).\nAnswer: -2*(3*x + 2)*(7*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 6*h + 1 - 21*h.\nAnswer: -27*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2 = 0, 3*t = -2*q - q. Let l(v) = -v**q + 5*v - 13*v + 5391 - 5399. Give l(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/3717*21)\/(8\/2)*14\/(-21)?\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.8 - -5. Let i(u) = u**3 + 8*u**2 - 10*u - 11. Let n be i(-9). Which is the second biggest value? (a) n (b) y (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -403546, -807095, -1210644?\n\"Answer: -403549*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dg when two letters picked without replacement from {d: 1, g: 14}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 301658492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 50.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*-5*((-54)\/(-81))\/((-15)\/18).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + (10 - 4746\/(-189)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -8*o + 55. Let w(q) = -q**3 + 11*q**2 - 2*q + 16. What is w(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-7)\/76)\/((-15)\/40) - 0. Let f = 104\/475 - h. Let r be 20\/(-10) - 3*-1. Which is bigger: r or f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20861341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -2, -23, 120\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4752476 divided by -2376238\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrkzrcrz. What is prob of sequence cz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 3.6. Let k = p - -0.2. Let n = -689.9 - -689.8. Which is the second biggest value? (a) k (b) -1 (c) n (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 + 53. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -4*c + 3*y, c - 5*y = 3*c. Let x(z) = 7 + z + 124*z**2 + z**3 - 67*z**2 + z - 45*z**2. Is x(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 10. Let h(c) = 2 - 8*c + 5 - 7*c**2 + 0 + c**3 - 5. Let o be h(r). Solve 0 = -z + o*z - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3340591?\nAnswer: 31, 107761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1780*t**2 - 1636*t**2 - 174*t**2.\nAnswer: -30*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 9 + -23 + -5 + (-5 - 0) + -5.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert c4 (base 13) to base 9.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 5)*(4 - 4 + 2*b) + 36 + 8*b - 36.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -13*x**4\/24 + 25*x**3\/6 - 38*x**2 - 4. Let v(s) = -4*s + 8. Determine -7*v(g) + 2*y(g).\nAnswer: 2*g - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 6*x**2. Let p(q) = 48*q**2 + 20*q + 20. Let z = -372 + 332. Let a(n) = -7*n**2 - 3*n - 3. Let f(l) = z*a(l) - 6*p(l). What is j(f(v))?\nAnswer: 384*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 42187 != 1898459\/45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w - 14. Let d be s(-10). Which is the nearest to -0.2? (a) 0 (b) d (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-6 - -5) + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 4*q**2 + 3*q. Let l be d(-2). Let p = 272 + -270. Suppose -l*w = p*g - w + 32397, 4*w - 48612 = 3*g. Round g to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9160*o**2 - 7 + 7 - 226259*o**2.\nAnswer: -235419*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 7133042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -8*u**3 + 3*u**2 + 12*u + 3. Let i(z) = -8*z**3 + 3*z**2 + 13*z + 3. Let w(g) = -5*i(g) + 6*x(g). Let h = 1 + -6. Is w(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2556, 1\/12, -2.7, -0.01 in decreasing order.\nAnswer: 1\/12, -0.01, -2.7, -2556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(2\/(2*-1)). Let o(h) = -h**2 - 1. Suppose -44 - 61 = 21*w. Let p(g) = 7*g**2 + 5. Let d(i) = v*p(i) + w*o(i). Let s(b) = 3*b**2. Give s(d(a)).\nAnswer: 12*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -231 + 11aa?\nAnswer: a79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55584*l**3 - 2*l**2 - 253874*l - 2?\nAnswer: -333504*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110101100010000 - -1101?\nAnswer: 110101100011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/3 - (0 - -1))\/(6\/(-18)). Solve -5*i + 3*q = -34 - 1, 0 = -b*i - 3*q + 1 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 934803.881 rounded to the nearest 100?\nAnswer: 934800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 48\/40 + (-1049)\/(-5). Let z(p) = -2*p**2 - a*p + 211*p + 0*p**2. Let t(f) = 7*f. Calculate t(z(n)).\nAnswer: -14*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*((-6)\/(-9) - 12\/72). Suppose -j = 4*q - r, -15 = -5*j - 0*j + 3*q. Solve j*t + 9 = -4*u, -2*t - 6 = u - 0*t for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -212 + 1732. Is 76 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**10*a)\/a**(-1\/14) assuming a is positive.\nAnswer: a**(-111\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + b**2 + 1. Let a(r) be the second derivative of -r**5\/5 + 5*r**4\/12 + 11*r**2\/2 + r + 7. Give a(g) - 5*o(g).\nAnswer: g**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q - 65*q**3 - 5*q + 67*q**3 + 2 - 15*q**2 + 24*q to z*q**2 + g*q + x*q**3 + u and give g.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 118*o + 3. Let n(l) = 79*l + 2. Calculate -5*k(c) + 8*n(c).\nAnswer: 42*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of r**4\/12 - 8*r**3\/3 + r**2\/2 + 147*r. What is the remainder when 99 is divided by q(18)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -70 - -77. Suppose -m - 28164 = -v*m. Suppose -5*o = -a - 5040, -m + 648 = -4*o - 2*a. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227*f - 4*f**2 - 4*f + 2*f**2 + 86*f - 109*f.\nAnswer: -2*f**2 - 254*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9343 + 9358 - 13*q**2 - 18701.\nAnswer: -13*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 123 + -63. Let i = 57 - u. Which is the nearest to -9\/8? (a) -4 (b) i (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 8*i**2 + 5*i - 10. Let q be r(-7). Suppose 5*t - 3 = q*t. Find the second derivative of 0*g**4 + 8*g**4 + t*g - 11*g**4 wrt g.\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47524998629.676 take away -0.5?\nAnswer: 47524998630.176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 152211500 - -4?\nAnswer: 152211504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -22011020 (base 3) to base 9\nAnswer: -8136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14874 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47079 - 15007. Does 76 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91.72 rounded to 0 dps?\nAnswer: -92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 5*m - 2. Suppose 530 = -3*t + 8*t. Suppose -t - 126 = -4*l. Let w = -53 + l. Calculate d(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 411.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 302, -2, 0, -1, -3 in decreasing order.\nAnswer: 302, 0, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m - 6. Let l be f(8). Let z be (l + 122)*(-2 - 1). Is 4\/18 + z\/(-27) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 313 - (-9)\/((-18)\/14). Suppose -2*b = 4*b - h. Calculate the remainder when b is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 958*b = 968*b + 20 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/(189\/196)*(-3)\/12.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1184 and 1045033032?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {c: 2, b: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 1)*(-15 + 12 + 13)*(-4*k + k**4 + 4*k + (5*k - 4*k - 4*k)*(-3*k - 2*k**3 + 3*k)) in the form p*k + y*k**2 + o + q*k**3 + b*k**4 and give b.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*n**3 + 3*n**3 - 10*n**2 - 31*n**4 wrt n.\nAnswer: -744*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1634310?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence do when two letters picked without replacement from {d: 10, o: 2}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-88)\/(-56) - (-3)\/7. Solve 3*f - 14 = j, -5*f + y = 2*j - 14 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114, -105, -94, -81?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3728, 18, -9 in decreasing order.\nAnswer: 3728, 18, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a millimeter in micrometers?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -630758900 to the nearest 100000.\nAnswer: -630800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27309059 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 21d76fd + 5?\nAnswer: 21d7702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -2*u - 2*u + h, 4*h + 32 = 4*u. Let w = 92 - 74. Let m = w - u. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5*a + 17. Let j be y(-14). Let z = j + 55. Let r be z + 4\/(-2) + 4. Solve r*p + 0 = -8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(-3*h - h**4 + 3*h + (0*h**2 - 2*h**2 + 0*h**2)*(15*h**2 - 15*h**2 - 78*h**2)).\nAnswer: 155*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -569, -570, -571, -572, -573, -574?\n\"Answer: -z - 568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f - 5*m - 1279 = -1052, 2*f + 57 = -m for f.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/30*15*(-2)\/8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1860251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 10*m**2 + 457*m + 4538. Calculate f(-10).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39088?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((-1)\/4) + 1. What is the highest common factor of w and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 935, 934, 933?\n\"Answer: -q + 936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*v. Suppose v*b + 19 = b + 3*z, 3*b = 2*z + 2. Suppose -2 = -2*n + b. Solve -4*f - 2*l = n*l - 15, 3*l = -3 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/4 (b) 5\/172 (c) -53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 7298*c + 655. Is 101 a factor of g(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 1. Let y(w) = w**3 - 82*w**2 + 235*w + 161. Let l be y(79). Let i(x) = -x**2 - x - 6. What is l*s(f) - i(f)?\nAnswer: -2*f**2 + f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -c + 13*p - 10*p, 49*c - 39 = 54*c + 2*p for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*p = 31*p + b + 81, p + 5*b = 69. What is the remainder when 287 is divided by p?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3\/4 - 4803*y**2\/4 - 483588*y - 2388015.\nAnswer: -3*(y + 5)*(y + 798)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + f + f**3 - 49 + 23 + 26. Let r(a) = 67*a**3 - 2*a**2 - 2*a - 25. Let q(z) = r(z) + 2*v(z). Differentiate q(b) wrt b.\nAnswer: 207*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -428752707 divided by 4.\nAnswer: -428752707\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -9*r**2 + 12*r + 3. Calculate a(3).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 14*m**2 - 10*m - 65. Let w be c(-15). Which is smaller: -139 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 848 and 608.\nAnswer: 32224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j + 116 - 109 - 3*j.\nAnswer: -5*j + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -u + 78106, -423*t = -419*t - 5*u - 156212. What is the hundreds digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -410*g**3 - g**2*p**3 - 14*g*p**3 + 39*g wrt g?\nAnswer: -2460*g - 2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*b + 361 = 0, 0*l + b + 367 = 3*l. Suppose 0 = -5*n + 197 + l. Let p = n - -193. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 10*p**2 + 5*p - 3. Let j be 55\/(-8) - (-5)\/(-40). Let b be c(j). Suppose 341 = 9*x - b. What is the remainder when x is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -n + 4. Let p = 7 + n. Suppose p + 2 = 4*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.766 in 56, 4, -4\/5, 5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -130857*q**2 - 371982*q.\nAnswer: -261714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 125 - 121. Determine a, given that -35*a**3 + 11*a**m + 82*a**2 - 32*a**2 - 6*a**4 = 0.\nAnswer: 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 4:55 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 75244 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, r: 3, g: 4, p: 4, b: 3}. Give prob of sequence bll.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of a**3 - 717*a**2\/2 + 714*a + 473. Determine r, given that t(r) = 0.\nAnswer: 1, 238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/2*150\/(-125).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -710 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = k - c - 4*c, -3*k = 5*c - 26. Let u be 1\/7 - (-27)\/k. Solve -u*o + x + 3 = -4, -4*x = 4*o + 8 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -172603 - -563814. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1258552*f + 1510745.\nAnswer: 1258552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (27 - 26)*(10 - 0). Let g be (-15)\/w + 387\/2 + 3. Calculate the highest common divisor of 78 and g.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -242673990 divided by -195.\nAnswer: 1244482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -388*-0.18\nAnswer: 69.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.9 + 1.8. Let l = -3 + 3. Let b be (26\/(-14) + 2)*3. What is the closest to -0.1 in p, b, l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 12:31 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, j: 1}. Give prob of sequence kkj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*z = -62*z - 80. Suppose 1 = 3*m - 35. What is the least common multiple of z and m?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21536*y**3 + 2*y - 1016.\nAnswer: -129216*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a century in years?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 9*k. Let b(r) = 2440*r**2. Give q(b(z)).\nAnswer: 21960*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*h = 0. Let u = 29 - 10. Suppose -3*s + 5*d = -17, 4*s + s + d = u. Solve h = -2*g + s, -2*g = z + 3*z - 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -5*r + 82. Let k be z(8). Suppose 32*i = k*i - 110. Let y be (-6)\/(-1 - (-19)\/22). Calculate the greatest common factor of i and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 - 7519456*g + 3533888658496.\nAnswer: 4*(g - 939932)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-17613)\/156 - 3\/12. Let d = s - -113. Which is the second biggest value? (a) d (b) -4 (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21023045 (base 6) to base 3.\nAnswer: 1010222111002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 55*t. Let m(i) = 53*i. Let o(n) = -6*m(n) + 5*y(n). Let c(q) = q**2. Calculate c(o(s)).\nAnswer: 1849*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.76044 less than 1849?\nAnswer: 1849.76044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -289, 0, -1, -114, 1, 5, -3 in ascending order.\nAnswer: -289, -114, -3, -1, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 486*p + 54645. Determine h(-309).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -296.2 - 137.3. Round t to the nearest 10.\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + (3 - (-55)\/(-30)). Let q(s) be the first derivative of -1\/10*s**5 + 1\/8*s**4 + x*s**3 + 0*s - 2 - 1\/4*s**2. Let q(v) = 0. Calculate v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 3*m - m)*(-5 + 0 + 1) + ((1 + 3 - 6)*(0 + 0 - 1) - 1 - 2 + 0)*(-78 + 78 + m).\nAnswer: 11*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (185\/(-15) - -5)\/((-2)\/(-30)). Let n be 38\/f + (-12)\/(-22). Let i(x) = 4*x - 20. Let s be i(8). What is the biggest value in -5, s, n, -1\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.4 * -20.28.\nAnswer: -190.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ylelh. What is prob of sequence lhl?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -954, -7510, -25148, -59346, -115582, -199334?\nAnswer: -316080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fp when two letters picked without replacement from {a: 3, p: 1, y: 2, u: 1, f: 5, i: 1}?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 4)*(-3*s + 0*s + 2*s).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 279962253 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(200) - 3*sqrt(200)) + -2 + (sqrt(200) - (sqrt(200) + (sqrt(200)*-3 - sqrt(200)))*1)) + -1 + -1)**2 + 5.\nAnswer: -960*sqrt(2) + 7269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 6*q + 6. Let t be m(5). Let h be ((-4)\/(-5))\/(t\/(-5)). Let c be (15 - 1)*(-18)\/h. What is c rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 9 = 3*v, -3*b = -v - 1 + 20. Let c = 12 - v. Let z be (105\/14)\/((-45)\/(-30)). Solve 2*r - c - z = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1601 - -1594. What is the nearest to 12 in -0.5, k, -2\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81858 (base 11) to base 7.\nAnswer: 1005240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -9*o - 112. Calculate t(-32).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Which is the fifth biggest value? (a) -2\/9 (b) -6.6 (c) 1 (d) -112 (e) -0.4 (f) -24\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2025769489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 3778, 740?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - -4)\/(3 + -4). Which is bigger: -6 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 - 6204*u**2 - 4781013*u - 4774806.\nAnswer: 3*(u - 2666)*(u + 1)*(u + 597)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17095036 to the nearest integer?\nAnswer: 4135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 36 = -9*r + 2*c, 6*c = -2*r + 92. What is the remainder when 1254 is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223355 (base 6) to base 15.\nAnswer: 5925","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-2\/5)*z*z)\/z*z)\/z)**(2\/5)*z**(3\/7)*z**(1\/4) assuming z is positive.\nAnswer: z**(643\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.07, -5, 0.2, -1, -0.1, 1, 6\/73?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 2)*(-7 + 2 + 1)*(-70 + 142 - 126)*(-1 + 0 + 0)*(4*m**4 + 4*m**4 - 3*m**4).\nAnswer: 4320*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -551616 by 6.\nAnswer: -91936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-15)*(-15)\/4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -10*w**2 - 6483*w + 182328. Determine s(27).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 2:27 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*o + 159*o - 76*o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (0 + sqrt(2) + 3 + (sqrt(2) - (sqrt(2) + -2))*-4 - (3*sqrt(112)\/sqrt(8))\/sqrt(7)) + -4 + -1.\nAnswer: -13 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.71 + 0.29. Let j = -3.99 - 0.01. Sort j, -5, c in increasing order.\nAnswer: -5, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of 0*r + 4\/3*r**3 + 0 - 7*r**2 + 11\/24*r**4 - 1\/60*r**5. List the prime factors of l(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -9*g. Let h = 365 - 363. Let u(t) = 28*t + 1. Give h*u(b) + 7*s(b).\nAnswer: -7*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -19\/200 (c) -3 (d) -0.3 (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*y**3 + 271*y**3 - 198*y**3 + 216*y**3.\nAnswer: 449*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*c**2*f*o - c**2*o*x - 1493*c*f*o*x - c*f*o + c*f + 9*f*o + 1730*f*x - 470*o - 5 wrt x.\nAnswer: -c**2*o - 1493*c*f*o + 1730*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 8*o**2 + 7*o + 5. Let i(a) = -7*a**2 - 6*a - 4. Suppose 6*v - 24 = 10*v. What is v*i(m) - 5*d(m)?\nAnswer: 2*m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1174?\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 - 182*r\/3 + 40.\nAnswer: (r - 60)*(3*r - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((76\/(-589))\/(-6*3))\/(6\/54).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 400*b**2 - b**4 - b**3 + 45*b + 407*b**2 - 808*b**2 + 3*b**3 to the form w*b**2 + h + p*b**3 + c*b + a*b**4 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 + -16. Let v(j) = j**2 - 11*j + 13. Let b be v(y). Let n(l) = l**3 - 3*l**2 - 5*l + 3. Calculate n(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w - 28. Let z be x(34). Let i(k) = -k**2 + 2*k + 8. What is i(z)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190*n + 235*n - 157*n + 114*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -421*u - 211268 + 217162 = 0 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4\/7, 0, 1, 0.5, 0.015?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10653739 or -10653738?\nAnswer: -10653738","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 39 = 71. Let z = -10 + c. Let y be 26\/(-39) - 11\/(-3). What is the greatest common factor of z and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 183, 395, 607, 819, 1031, 1243?\nAnswer: 1455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 162933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 179*z**2 + 2836 + 622*z**3 - 56*z**2 - 62*z**2 - 61*z**2 wrt z?\nAnswer: 1866*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 + 58. Let s = u - -94. What are the prime factors of s?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of c**6\/120 + 3*c**5\/20 - c**4\/2 - 7*c**3\/6 + 177*c**2. What is f(-10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 6*r**2 + 33*r + 128. Let i(u) = -7*u**2 - 32*u - 127. Let v(t) = -5*i(t) - 6*n(t). Calculate the lowest common multiple of 33 and v(-4).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149815273 a multiple of 603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -7*m. Let w(r) = -24*r + 20. Let u(g) = 3*f(g) - w(g). Let a be u(0). Which is greater: -12 or a?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1492*x**3 + 2*x**2 + 12*x - 8017245.\nAnswer: -4476*x**2 + 4*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + 6 - 18)*(4*b - 15*b - 4*b).\nAnswer: 570*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 18 = -5*u + 2, 4*u - 16 = v. Suppose 8 - 2 = k. Suppose -u*h + k = -h. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -25*b**3 - 11*b**2 + 2*b - 9. Let m(j) = -13*j**3 - 6*j**2 + j - 5. Give -11*m(h) + 6*o(h).\nAnswer: -7*h**3 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4 = 2*r - 5, -r = 5*s + 15. Find the common denominator of 55\/18 and r + 91\/(-16)*-1.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/23 (b) -2\/5 (c) -6 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/6, -34, 0.1.\nAnswer: -34, -1, 0.1, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310 = 19*q - 329. Let z = -0.1 + 0.1. Let v = z + 0.3. Which is the nearest to 0? (a) -3 (b) q (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 174.359574ms to days.\nAnswer: 0.000002018050625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006367462 to seven decimal places.\nAnswer: -0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.2 + -2.2. Let x = -2.99999854 + i. Round x to seven dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0757038 to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + -46 + 2 - -14.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 1\/13, -0.1, -1, 1\/2, -119 in ascending order.\nAnswer: -119, -1, -0.1, 1\/13, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5236603 kilometers in nanometers?\nAnswer: 523660300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 11*z - 2 - 16*z**2 + 0 + 0*z - 9. Let t(c) = -6*c - 7. Let g be t(-3). Let o = 9 - g. Let y(q) = 3*q**2 - 2*q + 2. Calculate o*x(f) - 11*y(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 e when two letters picked without replacement from zheeeezzzehe.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -554*r**2. Let g(w) = -6*w**2 + 157. Determine g(f(n)).\nAnswer: -1841496*n**4 + 157","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 - (-22656)\/11 - (-44)\/121 is divided by 2057.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1113 and 3?\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.71693 and 4?\nAnswer: 2.86772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 3*v + 3. Suppose 8*t - 14 = 26. Give i(t).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 3. List the prime factors of -1*(-3 + 4)*n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2951 and 7709.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2232346*c**3*w + 139*c**2*w + 2*c**2 - 2*c*w + 9 wrt c.\nAnswer: -13394076*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -t**6\/120 + 2*t**5\/15 - 7*t**4\/24 + 2*t**3\/3 + t**2. Let y be i(7). Solve -y*l + 5*x + 14 = 2, 0 = -5*x - 20 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(24\/9)\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1113*l - 8952 = 1125*l. Which is greater: -748 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -624, -2523, -5690, -10125, -15828?\n\"Answer: -634*j**2 + 3*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/43 or 0?\nAnswer: 7\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -1 - (6 + 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1185 is divided by 195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**2 - 202*l - 1210. What is t(-6)?\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of m**2\/2 - 1. Let h be t(0). Solve 4*p - 16 - 4 = h for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*z + 11 + 23 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 134259 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-62305)\/(-102) + (-2)\/(-3))*(-14 - -16)?\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (522*r + 56*r + 140*r)*(0*r**2 - 4*r**2 + 3*r**2 + r - 1) to the form c*r**2 + f*r + a + z*r**3 and give c.\nAnswer: 718","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 12055035 (base 8) to base 5\nAnswer: 1134111014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11 (b) -1 (c) 4 (d) 51\/8 (e) 167\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(96)\/sqrt(2) + sqrt(48) + 3 + (sqrt(243) + -2)**2 + 2).\nAnswer: -140*sqrt(3) + 1260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47637 - 48208.43. Let x = -575 - j. Let i = -0.57 - x. What is the second smallest value in 4, i, 0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -321*x = -335*x. Which is the smallest value? (a) x (b) -113 (c) -0.1 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -2. Suppose 0 = -2*h + f + 14, -s*f - 13 - 17 = -4*h. Suppose 0 = y - h - 31. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -5*p - 198 + 213, -p + 3*a - 1 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -17746*d + 266625. Calculate p(15).\nAnswer: 435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -439*i + 628756 - 628756.\nAnswer: -439*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -3900860040 to the nearest one million.\nAnswer: -3901000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16693678 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 7:27 AM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -43706, -43699, -43692, -43685, -43678?\n\"Answer: 7*s - 43713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of o**5\/20 - 8*o**4\/3 + 67*o**3\/6 - 12*o**2 - 3*o + 3. Does 31 divide r(30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253703 <= 253703?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 53518, 0.5, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 150\/60*(-5556)\/(-10). Let g = o + -903. 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: Let o = -1051 - -1051. Let s(a) be the first derivative of 0*a**2 + o*a + 0*a**4 - 8 + 3*a**5 + 14\/3*a**3. Find the third derivative of s(p) wrt p.\nAnswer: 360*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 126873569 to the nearest integer?\nAnswer: 11264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 2 + 3. Let p(r) be the first derivative of -r**2\/2 + r - 460. Let g(t) = 4*t - 4. Give n*g(h) - 3*p(h).\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -g**4\/12 + 271*g. Let r(y) = 2*y**2 + 7. Determine r(m(z)).\nAnswer: 2*z**4 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*s + 8, -s = -4*s + 4*h + 2. Is (-1143 - s)\/(-2 - (1 - 2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**3 + 5*c**3 + 0*c**3 + 1054*c.\nAnswer: 5*c**3 + 1054*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(288) - -2*sqrt(1458))\/(-4*sqrt(36)\/(-1*sqrt(8)\/sqrt(2)))*2.\nAnswer: 13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 - 23. Suppose -3*t - 3 - 21 = -q*w, 3*t + 4 = w. Solve -5*x - w = -5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 13 + 31 = -5*i, -12 = 2*y + 4*i. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -272, -932, -2028, -3560, -5528, -7932, -10772?\nAnswer: -14048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**2 - 2*z. Let b(k) = 10*k**2 - 7*k. Let t(o) = 14*a(o) - 4*b(o). Let c(i) = -46*i. Let u(x) = x. Let j(n) = -c(n) - 92*u(n). What is t(j(g))?\nAnswer: 4232*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-44)\/385)\/(44528\/3542)\nAnswer: -1\/110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1036 (base 8) to base 5.\nAnswer: 4132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, 4\/45, -9\/2?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-17)\/(2\/(4\/2)). Let i = u + 30. What are the prime factors of i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 4. Let q(p) be the first derivative of p - 15. What is -j(s) + 5*q(s)?\nAnswer: -s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16 and 2.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 26*o - 71. Calculate n(-4).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -9*u**2 + 8. Let l(d) be the first derivative of 2*d**3 - 5*d + 102. Determine 8*l(x) + 5*s(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + -0.3. Let h be 1\/(2\/(-4)) + 1. Let x = -5609\/21 + 267. Which is the nearest to h? (a) x (b) 0.1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4 = 0, a = 3*a + 2*j + 94. Let y be (3\/(-12))\/((-2)\/(a\/(-2))). Put -5, 9, y in increasing order.\nAnswer: -5, y, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.733293 to 2 decimal places.\nAnswer: 0.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 244199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -82, -2, 2, -30, 1\/3, 0.2, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -48*o**2 + 3*o - 965. Let n(q) = 7*q**2. Determine i(n(c)).\nAnswer: -2352*c**4 + 21*c**2 - 965","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**2 + 123*t - 124 = 0. What is t?\nAnswer: -124, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z**3 + z**2 + z + 1. Let q be g(-1). Let n = -5\/141 + 2933\/94. Let p = 31 - n. What is the second biggest value in p, q, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-6*-2*sqrt(228))\/(sqrt(108)\/(sqrt(36)\/sqrt(4)) + sqrt(12) - sqrt(12)))**2.\nAnswer: 96*sqrt(19) + 2752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + m - 64451 + 64433, 3*m = -4*d + 55 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -216*(-13)\/((7 - 10)*-1) a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -182, 0.4, 2, 3 in decreasing order.\nAnswer: 3, 2, 0.4, -4, -182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.53*-9\nAnswer: -4.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 7*q**2 - 6*q + 4. What is u(-8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1325470 (base 10) to base 7\nAnswer: 14160226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -161 - -173. What is the smallest common multiple of 1\/(-2) - (-82)\/4 and r?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6741978, 13483955, 20225932, 26967909, 33709886, 40451863?\n\"Answer: 6741977*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 339 + -339. List the prime factors of (0 - -282) + -4 + g.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*o**2 - o**2 - 5*o**2 - 5*o**2 - 6*o.\nAnswer: -3*o*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -167193.\nAnswer: 5\/167193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(1\/3)*s*s))\/s**5)**21 assuming s is positive.\nAnswer: s**(-133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -a5b5 (base 13) to base 8\nAnswer: -54663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 4 + 15*b + 5 to d*b + k and give d.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qpiqqippqiq. What is prob of picking 1 p and 1 q?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5456 + 5568. What is the greatest common factor of y and 2884?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1536*a**2 + 538*a**2 + 570*a**2 + 457*a**2.\nAnswer: 29*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1026 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -606*o - 1225 = -186*o + 2405 + 4770 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -9. Let p = -3786 - -3787. Let f(i) = i. Give p*t(w) + 2*f(w).\nAnswer: 2*w - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -3*t**7\/280 - t**4\/8 - 4*t**3 - 13. Let x(v) be the third derivative of k(v). What is the derivative of x(n) wrt n?\nAnswer: -27*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2441 and 149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 6 = -22 + 2. Let j(z) be the first derivative of 14 + 1\/2*z**q + z. What is j(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 <= 2559.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 1 - 8*x - 3 + 23*x. Let w(q) = -7*q + 1. Let t be (-8)\/(-6) - 280\/(-24). Determine t*w(a) + 6*m(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -386897.37 to the nearest 100.\nAnswer: -386900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, g: 2, z: 1, v: 1}. What is prob of picking 2 v and 2 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1 + sqrt(13) + 1.\nAnswer: -4 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*q + 3*k, 4*k - 5 = -2*q + 3*k. Suppose -a + 4 + 61 = q*u, 1 = a. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p**2. Let q(s) be the first derivative of -20*s**3 + 2*s + 2049. Calculate y(q(o)).\nAnswer: 10800*o**4 - 720*o**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -23\/5, -26, 5.7, 116, 4?\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-8)\/n)**(-21)*(n**(2\/17)*n)**(4\/39) assuming n is positive.\nAnswer: n**(125383\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 8*l = 32. Calculate the remainder when 79 is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 323 + -285. Is 3 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from ufffuffff?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 b when four letters picked without replacement from {f: 1, b: 2, x: 1, s: 4, z: 1}.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*l + 104 - 104 - l + 2 - 2 + (-2*l + 2*l - 2*l)*(-1 + 0 - 1).\nAnswer: 11*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 4723?\nAnswer: 4728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.0462 + 0.0462. Which is the second biggest value? (a) p (b) -5\/2 (c) 5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 23*y - 4. Let n(d) = -d**3 + 23*d + 5. What is 4*n(u) + 5*z(u)?\nAnswer: u**3 - 23*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27967335 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2202282 - -54401.7\nAnswer: 2256683.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 2 + 2)*((0 + 1 + 5)*(-4*d + 4*d - d) + (31 - 31 + 4*d)*(-7 + 12 + 53)).\nAnswer: -226*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**3 + 314*i**2 - 306*i + 1589. Let q be h(-158). Solve 9*d - 4*d + q = 2*n, -2*d - n = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 9 = j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/5, -34, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 2*q**2 - 10*q + 28. Give b(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -8*l**3 - 4*l**2 + 5. Let f(h) = 7*h**3 + 3*h**2 - 4. Suppose -184 = -8*a + 16. Let y be 10*(1 - (a\/10 - 2)). Calculate y*f(m) + 4*s(m).\nAnswer: 3*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/595133 and 79\/2720608.\nAnswer: 19044256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**2 - 16*l + 3. Let i be q(-8). Suppose -o + 14 = -i*o - 2*f, f = -4*o - 34. What is the units digit of (-4 - o) + 8*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-27)\/(-9288)*((-20)\/(-15))\/1.\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**5\/4 - 6*s**4 - 75*s**3\/4 - 57*s**2\/2 - 21*s - 6.\nAnswer: -3*(s + 1)**2*(s + 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(5\/2)\/(j*j**(-2\/9)\/j) assuming j is positive.\nAnswer: j**(49\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 175 + -877\/5. What is the third smallest value in -3\/5, -4, -6\/5, k?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 9 - 7 = 0. Let x = 2.5 - 3. Let o = x + 1. What is the third biggest value in o, j, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -314824, -314826, -314828, -314830, -314832?\nAnswer: -314834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3340884*u**2 - 27012621 with respect to u.\nAnswer: 6681768*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2*d = -4, -a - 2*a - 4 = 2*d. Suppose 10 - 12 = -i. Solve i = -c - a for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -4*j + 20. Suppose a - n - 2 = 0, a - j*n = 3 - 17. What is the remainder when 11 is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 20 = -2*b, -5*w = -3*b - 2*b - 55. Suppose t - 15 = -p, -w*t + 5*p + 125 = -t. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5dc40 + -80?\nAnswer: 5dbc0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 72*u - 84*u + 4*w, -4*w - 22 = -2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 103743539303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.2 (b) -42\/25 (c) -2 (d) 11.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3594874946 to the nearest integer?\nAnswer: 1532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 2408 + 542. Let g be -9 + o\/(-45) + -2*2. Which is smaller: -0.04 or g?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s - 3*s - s**2 - 27*s**3 + 0*s + 1. Let r(m) = m - 1. Let d be r(0). What is the remainder when b(d) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/7*(-141)\/47?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 11, -126132, -2, 5 in decreasing order.\nAnswer: 11, 5, -2, -3, -126132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-8 + -11 + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22.343 + -0.343. What is the third biggest value in 0.1, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22852, -20280, -17708?\nAnswer: -15136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -40 - -18a?\nAnswer: 14a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -72 + (-8381)\/(-116) - 7\/60.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -71*i**4 + 356*i**3 - 218*i**2 - 636*i + 9 = 0.\nAnswer: -1, 1\/71, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 135445\/7 - 19349. Find a such that -o*a**3 - 4\/7*a + 6\/7*a**2 + 0 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (-35)\/(-3)*44460\/546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77184 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: Simplify (p**(1\/20)\/p)**8*(p**(-14)\/p)**(-1\/6) assuming p is positive.\nAnswer: p**(-51\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 4*u = 3*v - 450, -5*v - 2*u + 750 = 0. Let j = v + -67. Is j a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 11 = -51. What is the units digit of (-420)\/u - 6\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 4. Let v be w(0). Let d be (18\/4 + -3)\/(1\/2). Solve -b = -d*b + v for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 t when two letters picked without replacement from {t: 13, a: 6}.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 6 = -3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u - 1. Suppose -4*a = -5*b + 26, a + 1 = -2*b + 14. Let x be m(b). Suppose 1 = 2*s - x. Solve -5*l + 3*g = -3 - 22, s*l - 4*g - 15 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 622, -19 in descending order.\nAnswer: 622, 4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 81*d - d**2 - 65*d + d**2 - 2*d**2 - 20. Let y be l(6). Solve -5*s + y*q = 7, 0*s - 2*s - 3*q + 11 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i*s**3*w - 11*i*s**2*w**3 - 3*i*w**3 - 3*s**3*w**3 + 2*s**3*w**2 - 64*s*w**2 wrt w.\nAnswer: -66*i*s**2 - 18*i - 18*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q**2 - 6*q - 2. Let i(o) = -20*o**2 + 22*o**2 + 5 + 13*o - 8*o**2. Determine -5*b(u) - 2*i(u).\nAnswer: -3*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/35, 7027, 2?\nAnswer: 7027","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of m**3\/3 + 9*m**2\/2 + m. Let w = 635 - 343. Let f = w - 299. What is d(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -480 less than 1.6?\nAnswer: 481.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4698\/5 - -940. What is the nearest to 4 in b, -3, -2\/25?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17150 = -931*j + 6108 + 13982 for j.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -244228898 and -244228897 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 6*m**2 - 18*m - 15. Let l be v(-8). Which is the second biggest value? (a) l (b) -5 (c) -0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 38841 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -692.5 - -691.5. Suppose 4 + 5 = -3*v - 3*o, -8 = -4*o. Which is the third biggest value? (a) p (b) 0.03 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 22. Let v be 2\/g*12\/(-18). Sort 2\/7, v, 2\/17.\nAnswer: 2\/17, v, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -765 = -5*p - 770 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 81 = 8*r. Let g be 2\/(-7) + (-4)\/(-14). Solve 2*z + 3*z - 2*i = 0, 2*z + i + r = g for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 92172, 184340, 276508, 368676?\n\"Answer: 92168*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 2:37 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10294082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 369 - 368. Solve -2 - d = a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -3, 5\/26, 4\/13?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 40?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/4)\/((-9)\/(-180))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 15\/4*j**3 + 3*j + 3\/4*j**4 + 6*j**2.\nAnswer: 3*j*(j + 1)*(j + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n**2 + 2*n**2 + 10355 - 3*n - 10401 as y*n**2 + t*n + h and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 123153 - 69270. Calculate the greatest common factor of b and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-2\/3)*c)\/(c\/(c\/(c\/((c\/(c\/(c\/c**(-6)*c))*c)\/c)))))\/(c*c**(-1)*c*c*c)**(2\/5))\/((c\/c**0)**(-43))**(-36) assuming c is positive.\nAnswer: c**(-23113\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -17067 (base 11) in base 7?\nAnswer: -130030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -765 - -2174. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/770 and 67\/4548985.\nAnswer: 100077670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/55 greater than or equal to -1531?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4257\/1148 - -133\/41. What is the common denominator of c and -65\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23201 is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 3*s**2 - 3*s. Let k be v(2). Let d = k - -1. Let m be 1078\/28 + d\/(-2). Calculate the greatest common factor of 13 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -47*g**7\/210 + g**6\/120 - g**5\/15 + 7*g**4\/3 + 199*g**2 + g. Find the third derivative of o(t) wrt t.\nAnswer: -1128*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*p = 71*p + 39*p - 20746. What is the highest common factor of p and 966?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.033 rounded to 1 decimal place?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 0 + -6 - -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321*r + 259*r = 669*r - 288*r - 10348 for r.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4866 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -0.658?\nAnswer: -0.658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of -275*w**4\/24 + w**3\/3 + 20*w**2. Is 12 a factor of o(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, u: 13}. Give prob of sequence uuv.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 16?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 111\/74*(-3 + 23\/3). Let a(s) = -s + 2. Let i be a(-3). Solve -j + v = i for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 387137 + -2?\nAnswer: 387135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 4*u**2 + 38*u - 18. Calculate y(9).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -9*y**2 + 11. Suppose 11*g = 15*g + 44. Let b(t) = 3*t**2 - 4. Suppose -2*m - 16 = 2*m. Determine g*b(a) + m*i(a).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (14 + (1 - -3) + -10 + -3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 116594.868?\nAnswer: 46637.9472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.024 + 23.876. What is u rounded to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 427 and 29610.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3809808ml to litres.\nAnswer: 0.0003809808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 + -23. Let z(k) = 2*k + 0*k + k**2 - x + 4*k. What is the remainder when 93 is divided by z(3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 3 = -17 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 1. Let q be (-174 - -183) + (-1 - 6) + 0. Let d(b) = -b - 13. What is q*k(c) - d(c)?\nAnswer: c + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -v**8\/6720 - v**7\/1120 + v**5\/120 + v**3\/3 + 2*v**2. Let s(b) be the first derivative of i(b). Solve s(p) = 0 for p.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-7) + 161\/49. What is the second derivative of -5*m**t + m**2 - m**2 - 2*m wrt m?\nAnswer: -30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of 2*s**2 + 1\/105*s**7 + 0*s**4 - 1\/6*s**3 + 0*s**5 + 0*s**6 + 0 + 0*s. Differentiate d(n) with respect to n.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b + 1 - 13*b - 6*b.\nAnswer: -11*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 687432 is divided by 34351?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 85765 and 6205?\nAnswer: 6260845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/16*-2*331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g - 34. Let d be q(-6). Let z = -28 - d. Factor 3*m**3 - 10*m - 4*m**3 + 5*m**3 + 18*m - z*m**2.\nAnswer: 4*m*(m - 2)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 r when three letters picked without replacement from {d: 12, x: 1, r: 6}.\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + 8 + -160 + (-151 - -180).\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -18*y - 33. Let q be v(-3). Suppose -320 = 8*b - 4*b. Let t be (-3)\/(-3)*4 - b. Calculate the highest common divisor of q and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(39)\/sqrt(3) + (1*sqrt(26)\/sqrt(2))**2 - sqrt(91)\/(6*(sqrt(7) + (sqrt(7) - (sqrt(7) + sqrt(21)\/sqrt(3) + sqrt(7))))).\nAnswer: 7*sqrt(13)\/6 + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/32 and (1\/6)\/(360\/846).\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*2*-4*-6*-4)\/(sqrt(11) + 1*sqrt(11)*-3 + (sqrt(110)*2 + sqrt(110))\/sqrt(10)) + 2.\nAnswer: -192*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 677.2184 millennia in years?\nAnswer: 677218.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -238 - -244. Let r(g) be the first derivative of 0*g**2 - c*g - 1 + 0*g**3 + 1\/4*g**4. Calculate r(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 5*s - 320 = 0. Let i be s\/(-12)*(-9)\/6. Suppose -73 = -i*y + 95. Solve 3*l - y + 6 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114\/19 - (-403*1 - 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -103 + 103. Let n(o) be the first derivative of 5 + 3*o + 1\/2*o**2. Give n(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -4*p - 0*z + 23, 2*p - 2*z - 14 = 0. Suppose 4*x = 3*f - f - 4, 0 = 4*f - x - 29. Calculate the lowest common multiple of f and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -199 - -3778. Let y = -3566.064 + p. Let l = -13 + y. Round l to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 36 = 4. Let w be (x\/(-102))\/((-4)\/(-6)). Which is the biggest value? (a) -0.5 (b) w (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 17 + 1389*v - 406*v - 984*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r + h + 17, -10*h = -5*r - 12*h + 11 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16)*-2)\/sqrt(8) - sqrt(2) - sqrt(8)*-4) + 0.\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + -1 + (3 - -94) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4*s + 2*v + 105, 2*s - v = 45. Suppose 2*x - 26 = s. What are the prime factors of x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4841890 is divided by 100.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 24 + (-62 - -31).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 1. Let k(d) = -d**2 - d - 1 + d. Let c(s) = s - 1. Let p be c(5). Calculate p*k(o) + 6*v(o).\nAnswer: 2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*v + 2234 + 3796. Let y = v + 876. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, e: 2}. What is prob of picking 2 e?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1222)\/14 - 8\/(-28). Let g = q + 101. Determine b so that 19*b + g*b**2 + 10*b + 2*b**3 - 17*b = 0.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 230 or 234?\nAnswer: 234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 0*s - 3 - s + 4 - 2. Let p be v(-8). Let d(r) = r + r + p*r - 4*r. Let a(g) = g**2. Give a(d(o)).\nAnswer: 25*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**3 + 2*f**2 + 4*f + 2. What is y(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w - 9. Let b be c(0). Let l(z) = 2*z**2 + z + 1. Let v be l(-1). What is the units digit of 124\/v*b\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3425954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-21) + (-30)\/7. Let d be b\/14 - (-48)\/21. Suppose -3*l + 2*t = 2*l - 191, -l = d*t - 31. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 183*g - 2 - 5 + 2 - 76*g + 1.\nAnswer: 107*g - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*f - 10*f - 39*f = 25511. Let d be (4\/10)\/(3\/2865). Let q = d + f. Is q a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**2 + w + 4. Let p be s(2). Suppose 23*t - 234 = 32*t. Sort 2, t, p in descending order.\nAnswer: 2, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t = -c - 48, -t + 44*c = 45*c + 8 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6044 is divided by 51.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, w: 1, q: 5, y: 10}. Give prob of sequence wyya.\nAnswer: 3\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + -50 + 22 - -26.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9\/21799 or -1?\nAnswer: -9\/21799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 10 = -5*g + 173, 0 = 5*k + g - 283. Suppose 3*f - 3*q = 150, f + 4*q + k = 2*f. Let j = -6 + 9. Calculate the highest common factor of f and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 - 87665*i**2 - 12*i + 10*i - 100748*i**2.\nAnswer: -188413*i**2 - 2*i + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2118*x**2 - 11*x - 6. Let v(t) = 6353*t**2 + 33*t + 17. Let c(j) = 7*d(j) + 2*v(j). What is the second derivative of c(u) wrt u?\nAnswer: -4240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -37*o**3 + 4*o**2 - 8*o - 28. Is c(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14040241 (base 6) to base 9\nAnswer: 788217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 - p**2 + 3*p**2)*(-8 + 8 + 11)*(12 - 8 + 7).\nAnswer: 121*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 4*o + 28, 85*o = -2*s - 63*o - 28*o - 430 + 70 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (298 + 7*s**2 - 298)*(0*s + 2*s - 6*s)*(-4 + 1 + 1).\nAnswer: 56*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.8 - 1. Let a = 7 - 5. Suppose -2*u - 11 = -0*u + 3*b, a*u + 5 = -b. What is the third biggest value in u, o, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-42)\/s**(-11\/3))\/((s\/(s\/s**(1\/4)*s*s))\/s**(-2\/3)*s**(-4\/15)) assuming s is positive.\nAnswer: s**(-2219\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 1984*j - 996*j - 3952 = 0. Suppose 5 = 3*s + g, -1 = -2*s - 4*g + g. Suppose -s*w + 3 = -p, -w + 0*w = 5*p + 37. Sort 3, j, p in decreasing order.\nAnswer: j, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -144 or -116?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2377923 is divided by 674.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/20)\/r)\/r*r*r\/(r*r*r**5)*(r*r\/r**17)\/r**(-13\/4) assuming r is positive.\nAnswer: r**(-189\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 102 = 4*o, -5*o = -0*o - 2*s - 121. What is the highest common factor of 325 and o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 145930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5\/42, 3, 5, -92?\nAnswer: -92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3163440 + -6?\nAnswer: 3163431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 2*u - 1. Let h be z(3). Suppose 40 + 34 = 5*v - h*i, 18 = v - 2*i. What is the least common multiple of 14 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 10 = -t - t, -j + 9 = 3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -11.07. Let k = f - 0.37. Put -4, k, -5 in descending order.\nAnswer: k, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2342*r + 2218*r + 992 = 0 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39938?\nAnswer: 2, 19, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 2*w - 12 = -b, 3*w = b + 3. Calculate the smallest common multiple of b and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239349921.\nAnswer: 3, 79783307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -562\/3 - -188. What is the closest to -15 in b, -0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2070)\/(-138)*374\/330.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -30*a**3 - 28*a**2 + 4*a - 6. Let l(r) = -20*r**3 - 18*r**2 + 2*r - 4. Let t(c) = -8*l(c) + 5*y(c). Calculate t(-2).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 3*w - 6 = 0. Suppose 0 = -5*l - 0*l - 10. Is ((-11)\/w)\/(l\/8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n**5 + 27514*n**4 - 43*n**3 + 34945334*n**2.\nAnswer: 60*n**2 + 660336*n - 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (13 - (-1 - (-8 - -12))) + -9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/2 (b) 0.3 (c) 4\/7 (d) 7.155 (e) 0.1 (f) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 300 - 143. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1993 - -4184. Let c = -1300 + q. What are the prime factors of c?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3692 by -13.\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4647 - -4646.9999998835. What is x rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11*40\/(-2420) + (-7)\/(-99)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8367?\nAnswer: 3, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - 8*a - 18. Let g be v(-5). Let h be 12\/48 - (6\/(-8))\/g. Solve h = 2*t - 4 + 14 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert bb (base 14) to base 3.\nAnswer: 20010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 + -11. Suppose 9*c - 65 = r. What is the remainder when 25 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -28945\/2 (b) -0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - y - 1. Let r(f) = 2*f**3 - 15*f**2 - 9*f + 14. Let w(d) = r(d) - 2*t(d). What is the tens digit of w(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -8*k**2 - 1238*k + 8777. Determine y(7).\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27491013*63.\nAnswer: -1731933819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m - 25. Give q(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -429924 and -429922 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57, -231, -529, -957, -1521?\nAnswer: -2227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m\/(m*(m*m*(m*m**2)\/m*m*m)\/m)*m)**(-7)*(m\/(m**(-2\/3)\/m*m))\/(m**(1\/7)*m))**(-2\/67))**(2\/19) assuming m is positive.\nAnswer: m**(-1808\/26733)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 11:59 AM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*h + 26 - 26)*(0 - 4 + 1)*(4 - 2 + 0)*(-2 + 5 + 1).\nAnswer: -240*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*u**4*y + 11*u**2*y**3 + 2*u**2 - 3*u*y**3 - 152*u wrt u.\nAnswer: -60*u**2*y + 22*y**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2000, 1977, 1952, 1925, 1896, 1865?\nAnswer: 1832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 164 = r, 2*u + 5*r = 26 + 56. Suppose -30 = 38*c - u*c. Calculate the least common multiple of c and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 8*z - 42 = 0. Let p = -13 + z. Which is smaller: 2\/59 or p?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3240219 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -w**5\/30 + w**4\/3 - 11*w**3\/9 + 2*w**2 - 8*w + 12. Let k(t) be the first derivative of o(t). Suppose k(c) = 0. Calculate c.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 2:48 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 9*j**2 - 9*j + 5. Calculate i(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1133 - -4?\nAnswer: 1140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3172\/9*v + 2\/9*v**2 + 1257698\/9.\nAnswer: 2*(v + 793)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/((y**(-1\/2)*y)\/y))**(-15\/4))**(7\/4))**(5\/4) assuming y is positive.\nAnswer: y**(-1575\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4206 (base 11) to base 4.\nAnswer: 1113010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -163086680*x**3 - 885765204*x.\nAnswer: -978520080*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.2 in -0.3, 0.26, 1, 0.4, -1\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, n: 1}. Give prob of sequence oo.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**3 + 57*w**2 + 28*w - 8. Let a be g(-28). Let x(z) = z + 10. Give x(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -172.\nAnswer: 9\/172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) 9 (c) 13127\/2 (d) 1\/580\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 125219, 125221, 125223, 125225?\nAnswer: 125227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -0*r - 160. Is 1*r + 0\/1 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-6*-2*sqrt(84) + (sqrt(84) + sqrt(84)*1 + sqrt(84))*6)\/(2*sqrt(120)\/(sqrt(80)\/sqrt(8))).\nAnswer: 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 3 - (-20 - -28)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-9)\/(-3))\/(3\/2). Let r(x) = 3*x**2 - 2*x**z - 8 - 3*x + 3. What is r(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 962676.6 millennia in decades?\nAnswer: 96267660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.1*5.9489.\nAnswer: -12.49269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*w + 21*w + 22*w + 32*w - 130 + 25*w.\nAnswer: -15*w - 130","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-20)\/(-5))\/32)\/(65\/(-120)).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -80? (a) 3\/8 (b) -2 (c) 762 (d) -0.1 (e) 2.22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of k**6\/30 + k**5\/15 - k**4\/6 - 2*k**3\/3 - 21*k**2. Find s such that l(s) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8614185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -1579 in ascending order.\nAnswer: -1579, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 108*n + 30. Let d be m(12). Suppose 0 = -16*a + d - 366. Calculate the greatest common divisor of 12 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -17*n**5\/60 - 35*n**4\/24 - 23*n**2. Find the second derivative of u(d) wrt d.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3099*g**3*m**2*o**2 + 173*g**3*m**2 - 3*g**3*m*o**2 + g**3*m + 180515*g*m*o**2 - 2*g*m wrt m.\nAnswer: -6198*g**3*o**2 + 346*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*g - t, -3*t = 5*g - 5*t - 1. Let o = 1 + g. Suppose o*m - m + 5 = 0, h - 29 = -4*m. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1217.5 from 761.\nAnswer: -456.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 391, 359, 319, 265, 191, 91, -41?\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 7*k - 183 = 0. Let u = -14 + k. List the prime factors of u.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 10. Suppose 0 = -c + 5, -c = -5*z + m. What is the third derivative of -2*b**3 + 3*b**2 + 2*b**z + b**3 wrt b?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 9, 14, -5, 2 in decreasing order.\nAnswer: 14, 9, 4, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36 - 4. Let z = -36 + a. Let h be (-2 - 1) + (z - (-782)\/112). Is 1 at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 119109.\nAnswer: -23821.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - 8*d - 33 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 6*y**3 - 4*y**2 + 9. Let f(u) = -20*u**3 + 15*u**2 - u - 27. What is 7*b(t) + 2*f(t)?\nAnswer: 2*t**3 + 2*t**2 - 2*t + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -8*j**2 + 17*j**2 + 5 + 1 + 2*j - 10*j**2. Give w(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389 is divided by 65.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of 2\/15*c**6 + 4*c + 0 + 1\/6*c**4 + 0*c**3 + 0*c**2 - 3\/10*c**5. Solve m(r) = 0 for r.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 451 + -421.9. Let l = 29 - c. Let p be 7\/(-3) - (-4)\/12. What is the nearest to l in 0, 0.3, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 12744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1695191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 147.1283391 rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -y**4\/4 - 131*y**3\/3 - 239*y**2\/2 - 108. What is the second derivative of m(i) wrt i?\nAnswer: -6*i - 262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 times 215916\nAnswer: 1727328","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is -12113649 rounded to the nearest 100000?\nAnswer: -12100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 445733, 445734, 445735, 445736, 445737, 445738?\nAnswer: 445739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -4\/7*n**3 - 36\/7*n + 24\/7*n**2 + 16\/7 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - o. Let i(n) = 3*n**2 - 5*n. Let m(d) = -i(d) + 5*v(d). Let u(h) = -h. Calculate m(u(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 34*f - 168. Let i be q(-28). Determine k, given that 3\/5*k**5 + 3\/5*k**2 + 0 - 3\/5*k**3 - 3\/5*k**4 + i*k = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -6*v**5 - 3*v**4 + 3*v**3 - 14*v**2 + 450*v - 6. Let h(z) = z**4 - z**3 + 2. Let x(p) = -3*h(p) - n(p). Find the second derivative of x(f) wrt f.\nAnswer: 120*f**3 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 7*n**2 - 3. Let i be a(7). What is the units digit of (-3)\/((-4)\/((-8)\/i))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14477758 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 44*h**4 + 6)*(-1 + 1 - 3 + (-4 + 3 - 3)*(-3 + 2 + 2)) as i*h**2 + t*h + n + c*h**4 + g*h**3 and give c.\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**3 - 8*p**3 - 3*p**3.\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -403237, -403235, -403233, -403231?\n\"Answer: 2*r - 403239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 6. Let p(t) = t**2 - 8*t - 14. Let c be p(u). Let j(n) = -n**3 + 5*n**2 + 9*n - 4. What is the tens digit of j(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 13 = -8*l + 7*l, -3*l = -4*d + 18 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 172 - 107. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-42))\/((-264)\/(-308))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**4 + 91*a**3 + 1422*a**2 + 3780*a - 3672.\nAnswer: -(a - 34)*(a + 6)**2*(4*a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 4523*z + 481207. What is a(104)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 190.4 in -0.4, -1, 0.4, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((-3 - 0) + 5) - 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-12)*(-4)\/(-25)*21\/(-28).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 5*v**2 - 4*v + 2. Let s be y(4). Suppose c - 14 = s. Calculate the lowest common multiple of (5\/2)\/(2\/16) and c.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/(-4 + (-318)\/(-79)). What is the derivative of -15 - h*b**4 + 795*b**4 - 8 wrt b?\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 7:42 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -10*z**3 + 32*z**2 - 9*z - 17. What is m(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + (-1 - -1) + 2. Let l = g - 3. Suppose 4*p = 7 - 19. Put -5, l, p in increasing order.\nAnswer: -5, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4020 + -19897\/5. Let k = h + -41. What is the nearest to -1 in -2\/9, k, 2\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -69*w - 550. Calculate the remainder when 88 is divided by o(-9).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16*v + 11*v - 15*v)*(-v + 2 - 2 + (0*v - 2*v + 0*v)*(0 - 2 + 1) - 4 + v + 4) in the form a*v**2 + z + o*v and give a.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -3*d + 4. Let f(p) = p**2 + 6*p - 4. Is f(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2418853712?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -6109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, o: 1, u: 1, t: 1, s: 3}. Give prob of picking 1 t and 1 s.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 2*w**2 - w - 1. Let h be a(-2). Calculate the greatest common divisor of 1 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(7\/8)*k*k*(k**(6\/7)\/k)\/k*k)**(-3\/4) assuming k is positive.\nAnswer: k**(-333\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -4 + 3 - -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -5*b - 5*v, 2*b - v - 1 = -7 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {x: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 2*r**2 + 2\/3*r**3 - 9 + r. Is h(-3) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - x. Suppose -2*f + 44 + 26 = x. Suppose -t + 2 = 0, 3*y = 4*y + 3*t - 13. Calculate the highest common factor of f and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -286.347133 rounded to 1 decimal place?\nAnswer: -286.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1125 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 10:54 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 r when two letters picked without replacement from circcni.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -119, -177, -235, -293?\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 162*w + 2522 - 2522 to a + v*w and give v.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 - 2 - 3 - (3 + -1). Let t be (-2)\/(-4)*-6 + (-13)\/b. Suppose 0 = -3*x + 73 - t. Is 21 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(28\/(-1)))\/(-18 + (-372)\/(-21))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 440 = 32. Let q = 130 - z. What is the smallest common multiple of 24 and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v + 6. Let a(b) = -b + 1. Suppose -5*t + 60 - 55 = 0. Suppose -6*p = 5*y - 2*p + 28, 3*y = -3*p - 18. Determine t*i(w) + y*a(w).\nAnswer: 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7279432.\nAnswer: 2, 19, 83, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 12490, -2\/9, -31.\nAnswer: -31, -2\/9, 2, 12490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17\/33 + -1\/3. Which is the closest to 1? (a) g (b) -0.3 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(1 - 5) - 0.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 4. Let k(r) be the second derivative of 11*r**4\/12 + r**3\/2 - 3*r**2\/2 - 45*r. Is k(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 0*i + i**2)*(-3*i - 2*i + 3*i) - 783*i - i**3 - 33*i**2 + 783*i.\nAnswer: -3*i**3 - 33*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qlzyzoa. Give prob of sequence yaqz.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2975, -2976, -2977?\n\"Answer: -v - 2974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 164 - -4?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r - 16. Suppose 15*m + 19 = 14*m + 5*p, -4*m - p = -8. Give u(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 466866827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssssssgssgg. Give prob of picking 2 g.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*i**5 + 12*i**2 + 246*i wrt i.\nAnswer: -480*i**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)*4)\/((sqrt(40) - sqrt(360))\/sqrt(8)) - (1 + sqrt(21)\/sqrt(3) + 4*(sqrt(28)\/sqrt(4))**2).\nAnswer: -29 - 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is a72b (base 14) in base 4?\nAnswer: 13002303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3474*b**5 - 20503*b wrt b?\nAnswer: -69480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**3 - 12*i**2 - 5*i. Let u(c) = 3*c + 2. What is the remainder when v(7) is divided by u(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2255 - 2254. Which is the closest to -0.4? (a) -2 (b) 4 (c) r (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/5 or -707?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 11 - 29 = -3*z, -12 = 3*u. Suppose 4*x - z - 4 = 0. Calculate the remainder when 9 is divided by (76\/57)\/(x\/18).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120280661 and 51731?\nAnswer: 3043","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 31*v - 52. Let o be h(-29). Solve 0 = 3*b + 5*q - 6, -4*b - 2*q = o - 14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 f when three letters picked without replacement from iiffiifiiii.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/708 and 103\/2832.\nAnswer: 2832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {w: 3, s: 4, x: 1, i: 6}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 9\/12*4\/9\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 4, n - 3*p - 42 = 180. Let q(c) = -5*c - 325. Let o be q(-59). Let i = o + n. Is i a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -9\/11, 4\/11, -2.1, 0.5?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 89.77 + -91.3. Let h = -0.2 + -2.4. Let r = h - w. Round r to one decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.041635847 + 34.041630447. Let q = -0.27 + 34.27. Let y = c - q. What is y rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2084974 times -2?\nAnswer: 4169948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 44 - -64671?\nAnswer: 64735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.81 - -0.87. Let k = -0.059948 + m. What is k rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, k: 4, c: 4, g: 5}. Give prob of picking 1 g, 1 a, and 2 c.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-6 + (17 - 4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 4*c**2 - 3*c + 10. Let i be u(-5). Let p be i - -1 - (-9 + 10). Let y = p - -11. Calculate the highest common factor of y and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5 - -4.5. Let s = -967 - -5801\/6. Which is the smallest value? (a) -4\/7 (b) 0.1 (c) z (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (136\/(-238)*14\/(-220))\/((-3)\/30).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -99*y**2 - y - 28. Let j(q) = 100*q**2 + q + 27. Suppose -2*l - 18 = -5*l. Let z(c) = l*j(c) + 5*g(c). What is the second derivative of z(b) wrt b?\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.76 - -0.39. Let o = 1.61 - s. What is the nearest to -0.1 in -1, o, 3\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-five halves of a centimeter?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/814783 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 432?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of 0 + 1\/24*x**4 + 0*x - 1\/3*x**3 + x**2. What is w(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 76 + -43. Suppose -3*a - 52 = s, a - 2*s - 2*s + 13 = 0. What is the remainder when o is divided by (-5 - -4)*(a - 0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4606 + 6626. Suppose -4*z = 248 - o. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**(2\/13))\/(v*v**(1\/2)))\/(v**1)**(-45) assuming v is positive.\nAnswer: v**(1179\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**3 - 4*x + 4*x + 0*x.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (463 - 12*r - 463)*(4*r**2 - 2 + 2)*(r + r + 0*r) + (r**2 + 0*r + 0*r)*(2 - 2 + r**2).\nAnswer: -95*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 374*s + 2781. What is the hundreds digit of r(102)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.036325649 rounded to 5 decimal places?\nAnswer: -0.03633","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 4*r + r - 6*r. Let x(p) = -11*p**2 + 3*p - 3. Let c be ((-1)\/(-4))\/((-26)\/(-312)). Let y(k) = c*q(k) + x(k). Differentiate y(z) wrt z.\nAnswer: -16*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156812 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 16 = -2*b, -2*b + 4*v = 3*b + 5. Suppose 0 = -2*t, 0 = 3*u + b*t - 30 + 15. Solve u*j - r = 24, 3*j + 5*r = 2*r for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -181694 + -19567847.\nAnswer: -19749541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -7. Let q be 2 + ((-114)\/22 - -3). Which is the smallest value? (a) q (b) f (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 234?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -m**4\/12 - 77*m. Let u(a) = -2*a - 32. Determine u(i(q)).\nAnswer: 2*q**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 28*h**2 - 10*h - 19. Let r = -39 + 48. Is i(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/5 - -1)\/(3\/10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2092 + 1410009\/674. Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 0.11, 16 in decreasing order.\nAnswer: 16, 0.11, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)*-1*-6)\/(sqrt(108)*2))**2 + (-2 + sqrt(396) - -6*sqrt(44)).\nAnswer: 9 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -123 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003721 to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3532 (base 9) in base 3?\nAnswer: 10121002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -249, -5 in ascending order.\nAnswer: -249, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 266320 a multiple of 761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c - 5*p - 140, -4043*c - 34*p = -4048*c + 227 for c.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/150*(-1305)\/348?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + 4 + ((-2*sqrt(68))**2 - sqrt(68)) + sqrt(68) + 2)*-4.\nAnswer: -1112 - 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-7)\/j**19*j*(j**(2\/11)\/j)\/j*j*((j\/j**(-4\/17)*j*j)\/j)\/j assuming j is positive.\nAnswer: j**(-4597\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 9:54 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 15, a: 5}?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-10)*1*5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 76 or 534\/7?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j - 13*j - 8*j)*(5*j - 3*j + 0*j)*((j + 0*j + 0*j)*(-j - 2*j + 4*j) - 8*j**2 + 3*j**2 - 7*j**2).\nAnswer: 528*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-18 - -10) - (0 + -6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5147986 to the power of 1\/3, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (1 + sqrt(27))**2)*4 + -3 + sqrt(6)\/(sqrt(2)*-2 + sqrt(2)) + 5.\nAnswer: 27*sqrt(3) + 114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 9 - 9)*(9*q + 13*q + 3 - 15*q) + 10*q - 5*q + 6*q to w + t*q and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*4*((sqrt(30) - sqrt(1920))\/sqrt(10) + (sqrt(3) - sqrt(27)\/sqrt(9)) + -5)**2*4.\nAnswer: -16512 - 6720*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5*u = 6*c - 32, -3*c + 4*u + 28 = 0. Let v be c + (2769997 + -1)*1. Round v to the nearest 100000.\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 3. Let s(h) = -6*h + 28. Let j(o) = 8*o - 43. Let n(b) = 5*j(b) + 7*s(b). Let a be n(-8). What is the biggest value in -5, a, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 380196 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8177.2002s in hours?\nAnswer: 2.2714445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, -69, -151?\nAnswer: -233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80932912?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 407254 is divided by 529.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 - -23.9. Let x = 1 - r. Let n = -8 + 8. What is the nearest to x in n, 0.3, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/8 + (57\/4 - 4). Solve -5*o + 4*f - 21 = 0, 3*o + q = f + 4*f for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**3 - 3*y**3 + y**3 + 3*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -5*y + 2278 + 1340, -3*b = -4*y + 2894. Is 5 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -21*a**3 + 4*a**2 + a. Let w(j) = 105*j**3 - 21*j**2 - 5*j - 1. Let k(t) = 11*m(t) + 2*w(t). Let f be k(2). Round f to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qspw when four letters picked without replacement from {w: 2, s: 2, q: 1, p: 1, r: 4}?\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1022253816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2646e92 - 4?\nAnswer: -2646e96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2048.28777 rounded to the nearest one hundred?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1470, 7, -1091, 3, -5, 1, -1 in descending order.\nAnswer: 1470, 7, 3, 1, -1, -5, -1091","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -12*((-20)\/(-6) + -3). Let d be (-26)\/8 - 2\/(-8). Put s, d, 0 in descending order.\nAnswer: 0, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30\/17 - -56\/51. What is the second biggest value in 4, j, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 326709952 to the nearest integer?\nAnswer: 689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 31363679 divided by -60199?\nAnswer: -521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12037 - 11790.4. What is i rounded to the nearest ten?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*w + 6601 - 52673. List the prime factors of w.\nAnswer: 13, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 3*l - 12, l + 10 = -41*k + 36*k for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 108\/49?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*b = -3*o - 25*b - 15, o - 4*b = -5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -t - 425*t**2 + 981*t**2 + 162*t**2 + 1057*t**2 as i*t + f + r*t**2 and give r.\nAnswer: 1775","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 a when two letters picked without replacement from ddadaad.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*o - 16 = 25*o. Suppose 4*q + 2*v = 22 - 0, -o*v + 14 = 2*q. Solve -q*a - 11 = -36 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w - 2. Let y(h) = -h - 1. Let u(g) = -d(g) + 2*y(g). Let o be u(-7). Put 4, o, -3 in decreasing order.\nAnswer: 4, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*d - 1 + 1)*(312 - 106 - 143 + 4*d).\nAnswer: 44*d**2 + 693*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - n - 8 = 0, 5*h + 4*n - 10 = -n. Suppose 6 = -h*s + 3*y + 33, 3*y - 15 = -5*s. Suppose 0 = -s*u + u + 175. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 292.\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200)*-3 - (sqrt(200) + 0)**2.\nAnswer: -200 - 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341143371 is divided by 1261.\nAnswer: 1258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*a**3*j + 282*a**3*z - 612*a**2*j*z - 8*a*j*z wrt a.\nAnswer: -156*j + 1692*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -515050 and -2060201\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1800679 and 296?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, 3.9, -2?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + -3*(-4)\/3. Let w be d*1\/(6\/(-4)). Let x = 0.1 + 2.9. What is the second smallest value in w, -0.2, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*sqrt(325) + (5*sqrt(325)*-1)**2.\nAnswer: 10*sqrt(13) + 8121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-27)\/(-12))\/(9\/(-24)). Does 8 divide (-406)\/(-21)*s\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 - -36. Let l(i) = -12*i**2 + 71*i + 9. Let u be l(6). Sort x, 10, 1, u in decreasing order.\nAnswer: 10, u, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8112 divided by -1352\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 + 4471314*o - 1666054073883.\nAnswer: -3*(o - 745219)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 6*m**2 + 5*m + 1. Suppose 0 = -3*x - 148 - 101. Let b = -78 - x. What is z(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -5*r**2 - 7*r + 2. Let t be l(3). Let z = 62 + t. Suppose x + 18 = -4*i, -x + 5*i + 31 = 2*x. Which is the biggest value? (a) z (b) -1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-319032.\nAnswer: -638064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3482, -6964, -10446, -13928, -17410, -20892?\nAnswer: -24374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1796522839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -78 - -77.5. Put -2\/7, d, -8, -5 in descending order.\nAnswer: -2\/7, d, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 4*g + 3*g)*(-8*g**3 + 3*g**3 - 5*g**3) - 16*g**4 - 722101*g**2 + 2 - g**3 - 3*g + 722101*g**2 + (1 - 1 + g**2)*(3*g**2 - 7*g**2 + 3*g**2).\nAnswer: -37*g**4 - g**3 - 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 25*s**2 + 3*s - 5. Let z(b) = 13*b**2 + 2*b - 3. What is 3*o(h) - 5*z(h)?\nAnswer: 10*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1097 and ((-49)\/28*-4)\/1?\nAnswer: 7679","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*i + 1 - 3, 2 = 3*k + 2*i. Let w(q) = -q. Let b be w(0). Suppose k*n + n - 35 = b. What is the highest common factor of 5 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-3 + -3*(2 + sqrt(612) + 1)*-5)**2 + -4).\nAnswer: -697300 - 37800*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7748.769 centuries to months.\nAnswer: 9298522.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g. Let j(k) = -4139563*k**2 - 1 + 4141238*k**2 + 1. Calculate t(j(p)).\nAnswer: 1675*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 + 2)*(-165*z**2 - 2*z**5 - 86*z**2 + 26*z**2).\nAnswer: -12*z**5 - 1350*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 + 266546932*m + 266546931.\nAnswer: (m + 1)*(m + 266546931)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 125 (b) 0.02 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/322 and -55\/4438.\nAnswer: 102074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/1*(-6345834)\/396 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2655502086?\nAnswer: 2, 3, 1847, 239623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7.356335 millilitres?\nAnswer: 0.007356335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -80 + 123. Suppose 0 = -3*f + 62 + 178. Suppose 0 = t + 3*l - 27, -4*t + l - 6*l = -f. What is the remainder when g is divided by t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-679)\/70 - (-21)\/(-70)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 4*p - 1. Let v be h(-3). Let d = 11 - v. Is d a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 8. Let j(t) = 5*t**2 + 6. Let q(o) = -4*o**2 + 1 + 2*o**2 + 3*o**2. Calculate x*q(w) + j(w).\nAnswer: w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 take away 18782970905771?\nAnswer: -18782970905771.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2 - 14*y + 23. Is p(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 4*h**2 - 5*h + 11. Let g be v(-5). Solve 2*q = 3 - g for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 6*m**2 + 4*m + 1. Let p be n(5). What is the smallest value in -3, 2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-23 + 21)*5*3\/(-6). Solve 0 = -3*m + 2*a + a + 9, f*m - 3*a - 17 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 238\/3 - 80. Let z = -3.282 - -0.282. Sort -4, o, z in decreasing order.\nAnswer: o, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/2076 and -113\/36?\nAnswer: 6228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 70 = 2*q, -4*n + 372*q - 369*q + 56 = 0 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8595 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-18) + (-76)\/(-24). Let k = 2093 - 2089. Factor 5\/3*g**5 - 20\/3*g**b + 10\/3 + 0*g**k + 5*g - 10\/3*g**2.\nAnswer: 5*(g - 2)*(g - 1)*(g + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d = -10*d - 10. Let x(m) = m**d - 89 + 89. Let j(c) = -8*c. Determine j(x(t)).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.37 - 0.03. What is the fourth biggest value in 1\/2, -1, f, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001137157 to four decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 8 - 3 - 6 + 2 - y. Let r(a) = 3*a - 4. Give 2*c(d) + r(d).\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 v when two letters picked without replacement from qmlmqlylqqvv.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -356866\nAnswer: -71373.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -36904000 to the nearest one million.\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 4.6930339?\nAnswer: 9.3860678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -584.\nAnswer: 5\/584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (30\/5 + (-65)\/10)*-3716?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1845 divided by -45.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 322900 and 350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p - 33. Let s be f(25). Let o be (-1)\/(-1) + (9 - 1) + s. Let x = 0.2 - 0.3. Sort x, -0.3, o in decreasing order.\nAnswer: o, x, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 19*h + 41. Let o be n(-17). Solve z = -4 + o for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**21\/(w\/(w\/((w*w\/(w*w**22\/w))\/w))) assuming w is positive.\nAnswer: w**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 954\/1205 - -2\/241. Factor -2\/5*g - 2\/5*g**5 - 2\/5 - 2\/5*g**4 + 4\/5*g**2 + b*g**3.\nAnswer: -2*(g - 1)**2*(g + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(-89)\/4*(-9 - -15). Let l = -297 - p. What is the second biggest value in -5, 5, 2, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 5883?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 6*j**2 + 20*j + 31. Let q be o(-8). Sort -4, q, -119 in decreasing order.\nAnswer: q, -4, -119","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3739.0278 rounded to the nearest ten?\nAnswer: -3740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -21, -125 in descending order.\nAnswer: 3, 0, -21, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4078306l to millilitres.\nAnswer: 407.8306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 56876 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: Collect the terms in 4*z + 5*z - 15*z + 9*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 28*n - 31. Let i(w) = -4*w + 1. Give h(v) + 4*i(v).\nAnswer: 12*v - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 - 11.2\nAnswer: -11.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15.11 + -0.11. Let t = -15.1 + r. Let a be 0 + -3 - (-8)\/2. What is the nearest to 1 in t, -3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.273699965 rounded to five decimal places?\nAnswer: 0.2737","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 88 and 17?\nAnswer: 1496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10619327 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 - 1)*(3*r - 5*r + 6*r) in the form z*r + y and give z.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 39*h. Let y(s) be the first derivative of 10*s**2 - 4381. Give b(y(a)).\nAnswer: -400*a**2 + 780*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*j + 111*j - 8127 = 0. Does 21 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13780 divided by 4.\nAnswer: -3445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**2 + 29*i**4 + 14*i**3 - 42*i**3 + 154 - 345 + 4*i**3 + 6*i**3 wrt i.\nAnswer: 696*i - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -142750, -285434, -428118?\n\"Answer: -142684*b - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1530400548 a multiple of 436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 50*c - 29 = k - 19*c - 19*c, -2*k + c = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 2*r - 2256, 0*r - 578 = -c + 3*r. Let m = c + -225. Is m a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*n + 2*n. Let k = 0 - 1.1. Let m = -0.9 + k. What is the second smallest value in 0, m, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 221 + 979. List the prime factors of h.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-90)*3*(3233 - 3235).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - b - 5*o = -264, 0 = -4*b + 3*o + 941. Let a = b + -160. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 19 = -2*d, 4*d - 2 = -s - s. Let z be (2 + -2)*1\/3. Solve z = d*v - 18 + 6 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 175402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 469.5111 millilitres to litres.\nAnswer: 0.4695111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**2\/3 - 223*l + 1342\/3 = 0. What is l?\nAnswer: -671, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 13, 68, 9, 0.\nAnswer: -3, 0, 4, 9, 13, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**3 - 5004*u**2 + 5004*u**2.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1133 is divided by 1127.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -999.\nAnswer: 4\/999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(1*(-3)\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h + 12*h - 4465 = 253*h for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*0.664\nAnswer: 0.01992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21600, 14728, 7856, 984, -5888, -12760?\nAnswer: -19632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -14931 (b) -76 (c) -41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 138 - -4?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18ca9 (base 14) to base 9.\nAnswer: -105214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e - 3d425e?\nAnswer: -3d4250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-9)*(-3)\/(-2). Let j be -2*p\/(-16)*1. Sort j, -4, -1\/3 in decreasing order.\nAnswer: j, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -5*k**4\/8 - 1123*k**3\/8 - 14305*k**2\/2 + 5767*k\/2 = 0.\nAnswer: -146, -79, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.9 - -4. Let q = -26.7 - -27. Which is the nearest to -2\/3? (a) -1 (b) q (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1005 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 831825 and 190?\nAnswer: 31609350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -214 - -214. Solve 4*d = w, -5*b = -2*d + 7*d + 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1764 (base 10) in base 11?\nAnswer: -1364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a - 1 + 19*a - 7*a + 2.\nAnswer: 18*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (276\/115)\/((-6)\/(-40)). Suppose 64*u = 63*u + f. Solve -4 = 4*o + u for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v**3 + v**3 - 2*v**3 + (4*v**3 - 2*v**3 - 7*v**3)*(145 + 7 + 258 + 22) to y*v**3 + m*v + b*v**2 + j and give y.\nAnswer: -2164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of l**6\/10 - 23*l**3\/6 - 109*l**2\/2 + 2*l - 283. Find the first derivative of k(i) wrt i.\nAnswer: 12*i**3 - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 3*c + 2 - 1 = 0, -p = 5*c - 6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60 + -39. What is the second derivative of -4*d - 15*d + d - s*d**2 wrt d?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006208 to seven dps.\nAnswer: -0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -18. Suppose 16*w - 1472 - 384 = u. Suppose -5 + 1 = -y, -5*y - w = -4*b. What is the highest common divisor of b and 272?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 544.4 + -544.1. Which is the second smallest value? (a) w (b) 12\/53 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 7*z**2 + 2*z - 8. Let o be a(7). Solve d + o = -d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 50.401 decades?\nAnswer: 5.0401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*f**3 + 2*f**4 + 4*f**3 - f**4)*(4 + 0 - 6) in the form a + o*f**4 + q*f**3 + m*f**2 + d*f and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 236405\/18 - 13137. Calculate the common denominator of g and 115\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 2:22 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 1 + 2 = l, 3*x - 5*l = 8 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4840135557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2017\/1147 + 52\/31. Let h = 99\/148 - m. What is the nearest to -2 in h, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 8:10 PM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168 + 3*b**2 + 467 - 150 - 13.\nAnswer: 3*b**2 + 136","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 247\/(-3003) - (-2 - 5\/(210\/(-78)))?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, n: 4, z: 1, k: 1, o: 1, h: 5}. What is prob of sequence nv?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + q**2 - 2 + 3)*(3*q + q - 5*q).\nAnswer: -q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 1341 divide 6293313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 73*o**2 + 14*o + 2 + 2*o - 71*o**2 - 3 to the form q*o + u*o**2 + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 644684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-6 - 4228\/(-1408)*2). Calculate the highest common divisor of p and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4753 + -4783 + (14 - (-2 - 4 - -2))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-2) + -1)*-2. Let o(d) = d + 10. Let n be o(-6). What is the third derivative of 2*a**2 + a**3 - n*a**3 + 2*a**h - 3*a**2 wrt a?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 6\/580765?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (304 + (4 - 16))*1. Calculate the highest common divisor of 4 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 18*u - 21. Let p be m(-15). Let x be (18\/p)\/((-6)\/(-16)). Let i be 10\/(-3)*(-6)\/4. Solve x*f + f + a - 3 = 0, i*f = 5*a + 25 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 233689580 divided by 4.\nAnswer: 58422395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.31 - 0.11. Let u = j - 3.2. Sort 2, u, 0.4 in descending order.\nAnswer: 2, 0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10022201122 (base 4) to base 10\nAnswer: 1091674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-4*(2 + sqrt(252)*-1 - (sqrt(252) - (sqrt(252) + 1))*5))**2 + 3)*4.\nAnswer: -5376*sqrt(7) + 19275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 - -34. Let g be 16\/9 - r\/(-36). Find the second derivative of g*v + 2*v**4 - 6*v - 4*v + 9*v**4 wrt v.\nAnswer: 132*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 6. Let j be f(-3). Suppose -6 = p - j*p. Let 0 - 2\/5*c**p + 2\/5*c**2 + 0*c = 0. What is c?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3849804?\nAnswer: 2, 3, 7, 15277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**3\/6 - f**2 - 116*f + 1. Let m(i) = -i**2 - 2*i. Let r be m(-4). Let x(w) = 3*w - 5. Determine r*n(b) + 3*x(b).\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -p**6\/15 - 18*p**5\/25 + 208*p**3\/15 - 48*p**2\/5 - 288*p\/5 - 2126. Determine x so that a(x) = 0.\nAnswer: -6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5362 + -1?\nAnswer: 5361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.44710501 to 1 decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by 452972\nAnswer: 11\/452972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 202.1550421 to 0 dps.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.6842 to 2 decimal places.\nAnswer: 1.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(2\/19)*p)\/p)\/(p**6*p)*p*p**(-7\/5)*p*p**(3\/10))**(1\/81) assuming p is positive.\nAnswer: p**(-949\/15390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 863.\nAnswer: 4\/863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27795153 - -11384847. Round v to the nearest one million.\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -10*s - 5. Let o = 128 - 78. Let u = 57 - o. What is the remainder when u is divided by v(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.97 - 0.03. Let u = -140 + 142. What is the second smallest value in u, t, 54?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -109, 2, 3 in increasing order.\nAnswer: -109, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 25, 0*v + v + 18 = 3*s. Let c(m) = -116*m - 13. Let o(w) = -w. Let r(p) = c(p) + 2*o(p). Is r(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 254?\nAnswer: 1524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 13, s: 6}. What is prob of picking 3 d and 1 s?\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2674 a factor of 29440740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4561\/30 + -152. Let k(p) be the third derivative of -4*p**2 + 0 + f*p**5 + 0*p + 0*p**4 + 0*p**3. Let i(s) = 4*s. Determine i(k(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -171*h**3*n*x + 4236*h**3*n + 4*h**2*n*x - 81483*h**2*n + h**2*x + 2*h*n wrt h?\nAnswer: -1026*n*x + 25416*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2705290799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12 + 7*k + 12 + 2*k**2 wrt k.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 2*z - 6442 - 798, 3*p + 10864 = z. Let n = 6407 + p. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 50 = -10*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(15\/140)\/((-9)\/6).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 3:24 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.1, -0.3, 0.5 in increasing order.\nAnswer: -0.3, 0.5, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 12:00 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(637) - (-1*(sqrt(13)*-1)**2 + sqrt(13) + sqrt(13)) - -1*(-1 + sqrt(637))**2.\nAnswer: -9*sqrt(13) + 652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**4 + 0*f**4 + 2*f**4)*(-1 - 4 + 3) + 2*f**2 + 2*f**3 + 17*f**3 - 4*f**3 - 2*f**4.\nAnswer: -6*f**4 + 15*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 48324 to the power of 1\/2, to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -697, -700, -703, -706, -709, -712?\n\"Answer: -3*r - 694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6331 a factor of 262552901?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/9 (b) -22 (c) 16 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c + 50. Suppose -5*p + 50 = -2*o, 3*o - 5*p + 58 = -7. What is the remainder when 110 is divided by t(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 divided by -11492?\nAnswer: -14\/2873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 3*y - 571 + 593, -2*y - 3*g + 17 = 0. Sort -2, y, -4, 5 in descending order.\nAnswer: 5, y, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2.9 or 19775.5?\nAnswer: 19775.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/10 (b) 1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -0.0255?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 777 is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 27, 43, 75, 129?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -2, 0.2, 15, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3480 or 3502?\nAnswer: 3480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, u: 1, n: 2}. What is prob of sequence bu?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 10*o**6\/3 + 21*o**5 + 145*o**4\/4 + 10*o**3 + 51. Suppose c(t) = 0. What is t?\nAnswer: -3, -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -3*q**2\/5 + 204*q\/5 + 468 = 0.\nAnswer: -10, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s - 8*s - 16 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 3*r**2. Let a(j) = j**3 + 2*j**2 - 9*j - 3. Let u be a(-4). Let v(w) = w**2 + w - 1. Let c(l) = u*v(l) - t(l). What is c(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a**3 + 1059*a**2 - 2412*a - 2423. Give q(-267).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 11. Let g = -4.5 - -4.8. Which is the closest to -1? (a) g (b) 2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -6 + 50. Let c = z + -15. What is the tens digit of (-39)\/6*(2 + c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20798257 and 1835?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1019796529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g - 2*g - 2*g)*(-4*g + 4*g + 3*g) - 2*g**2 + 9*g**2 - 6 + 1 in the form d*g**2 + a*g + c and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.7 - 1.7117. Let z = -47.7883 + s. Let j = -52 - z. What is j rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 9:38 AM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 961207931 or 961207930?\nAnswer: 961207930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1777 = -250*p + 6651 + 6376 for p.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -784? (a) 7 (b) -5 (c) -1\/3 (d) 181 (e) 5 (f) 0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218*z + 223*z = 45. Calculate the remainder when (65\/20)\/(4\/48) is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*m*v - 150569*m - 956004*v wrt m?\nAnswer: -11*v - 150569","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -8. Let m be 2\/(-1*p\/6). Let b = 0 - m. Does 4 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 11*c**2 - c + 11. Let f be w(11). Let a = 15 - f. Calculate the lowest common multiple of 1 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -151 + 155. Let y(u) = 9. Let g(h) = 2. Let x(a) = l*g(a) - y(a). Let b(d) = -2*d**2 - 2*d + 2. Give b(f) + 4*x(f).\nAnswer: -2*f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + (1*sqrt(5))**2 + -4 + -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 620*p = 623*p - 2*i - 19, -39 = -3*p - 3*i. Solve m + p = -j, -93*m - 3*j - 32 = -89*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 83 - 38. Let n = v + 3. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60971773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 17*o**2 - 8*o**2 - 10*o**2 + 2*o**2. Let c(k) = 8*k**2 + 7*k + 7. Let q(a) = a + 1. Let u(v) = 2*c(v) - 14*q(v). What is p(u(d))?\nAnswer: 256*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000384825 to seven dps.\nAnswer: 0.0000385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o - 15. Let h be g(-15). Suppose h = 2*z - 4 - 2. Let s(j) = -j**2 + 3*j + 3. What is s(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -149*g + 147*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/15 and 49\/3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 79470905 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 0. Let y be 5\/w*4 + 0. Calculate the highest common factor of y and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2253562500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -7. Let y be (-10)\/30 - 1\/((-6)\/122). Solve -p*x - 2*f = 3*f - 8, 2*f = -5*x + y for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7314*b*v - 10303*b - v wrt v?\nAnswer: 7314*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2375236, 4750530, 7125876, 9501268, 11876700, 14252166, 16627660?\nAnswer: 19003176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1132514 and 608?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*p - 47*p - 3 + 16.\nAnswer: -2*p + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.0359898 micrometers?\nAnswer: 0.0000359898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21859, 43568, 65231, 86848?\nAnswer: 108419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9515? (a) -2 (b) -1 (c) -0.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 663 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0028591 rounded to five decimal places?\nAnswer: -0.00286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -417 divided by -1?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 8:59 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five quarters of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 4*a - 8 = 0, -3*a = l + 1186 - 1175 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 379*r**2 + 6*r + 2. Let u be s(-1). Let q = u - 362. What is the least common multiple of 5 and q?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -786 = -4*o + 5*x, 136*o - x = 134*o + 384. Calculate the remainder when 283 is divided by o.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -35*s**3\/3 + 207*s**2\/2 + 45. What is the second derivative of w(m) wrt m?\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3524.\nAnswer: 2, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b1799 (base 16) in base 12?\nAnswer: -b42389","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -7*w**3 - 102*w**2 - 273*w - 131. Let j(p) = -50*p**3 - 715*p**2 - 1920*p - 915. Let r(s) = -20*a(s) + 3*j(s). Factor r(h).\nAnswer: -5*(h + 5)**2*(2*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213065*t - 212948*t - 351 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6928*b*d*v + 3*b*d + 242*b + 2*d*v + d wrt v?\nAnswer: 6928*b*d + 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 5*y**2 + 2*y - 4. Let n = -8 + 5. Let p be t(n). Suppose u + 2*o = 303, -5*o + 12 = -p. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*n = -16. Let j be (44\/(-1))\/4 + n. Do j and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*j + 410 = -8. Let o(y) = 5*y**2 - 4*y + 12. What is the hundreds digit of o(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 71 - 81 - ((-1 - 0) + (12 - 13) + -86).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 6*v**2 + 6*v + 3. Let s(p) = p**2 + 6*p - 19. Let z be s(-8). Does 12 divide a(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -2. What is the second derivative of -t + 3*t**5 + t**5 - 6*t**5 + c*t wrt t?\nAnswer: -40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/16)\/(-6*6\/(-144)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 34 - 37 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.93934km in meters?\nAnswer: 21939.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**4\/3 - 478*j**3 - 47668*j**2\/3 + 16368*j = 0. What is j?\nAnswer: -682, -36, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**5 - 739*c**2 + 173057*c wrt c?\nAnswer: -20*c**3 - 1478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*u**4 - 5*u**4 - 6*u + 3*u wrt u.\nAnswer: 96*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 6, -i + 3*i = w - 13. Let x(p) = 7*p**3 + 8*p**2 + 8*p + 6. Let h(m) = 20*m**3 + 23*m**2 + 23*m + 17. Give w*x(t) - 6*h(t).\nAnswer: -t**3 - 2*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 488687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 21 + 6 = 0. What is the closest to x in -5, 0.8, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 42\/(-9) - 2\/6. Let a be r\/2 + 4\/8. Let n be 4 + -71 + (0 - a). What is n rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 1 + 7*k - 8*k - 2. Let w be a(2). Sort 4, -1, w.\nAnswer: w, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 1490*a. Let u(t) = -134*t. Calculate w(u(x)).\nAnswer: -199660*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -182.07.\nAnswer: -182.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1007 + -0.988.\nAnswer: -1007.988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**2 - 122*a**3 - 206*a**3 - 3*a**2 - 106*a**3 + 609*a**3 + 2*a**2.\nAnswer: 175*a**3 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -g**5\/60 + 7*g**4\/12 + 3*g**3 + 6*g**2. Let i be m(14). Solve 5*t - i = 3*f, 0 = 3*t + 5*f - 0 - 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((4 + -3 + -1)\/(-1))\/2. Suppose -23*q + 20*q + 33 = m. Solve q*d - 15*d = 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166235 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 18 - (12 + 7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2*g - i + 3, -5*g = -2*i - 15. Suppose -3*o - g - 12 = 0. Let t = 2 + 0. Sort t, -2, o.\nAnswer: o, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 42, 50, 56, 60, 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8889 = -36*f + 2*f - 8787 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2\/13, -5, 7.\nAnswer: -5, -2\/13, 0.4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -53 - -56. Suppose -o*x = -2*u - 198, 165 = 4*x + 5*u - 76. Let n = x - -31. List the prime factors of n.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (-6)\/((-12)\/4). Let z = 2 - p. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24\/8 + 1*-4. Let k be s\/((-130)\/71 - -2). Let i = k - -31\/6. Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 603 and 12681?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1932050099 rounded to four dps?\nAnswer: 0.1932","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-4) + 4\/(-8). Suppose -8 = 4*m - 28. Let p(j) = 16 + 9 - m + j - 5. Give p(w).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x + 44. Let a be d(33). Let g = 24 - 24. Let y be 96 - (4 + -7) - g. What is the greatest common divisor of a and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 15004, 29721, 44158, 58321, 72216, 85849, 99226, 112353?\n\"Answer: q**3 - 146*q**2 + 15148*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*c + 6. Let n = 5 + c. Suppose -u = n*u - 12. Solve u*f - 3*f = 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22809 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5 + 1)*(2 - 2 - 1)*(-2*m + 73 - 28 + 0*m).\nAnswer: 18*m - 405","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5*sqrt(80) - ((sqrt(5) - (1 + sqrt(125))) + (sqrt(5) - (4 + sqrt(15)\/sqrt(3)))).\nAnswer: -16*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/10*4560\/24.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1030, -1028, -1024, -1018, -1010, -1000, -988?\n\"Answer: x**2 - x - 1030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1654, -3066, -4464, -5842, -7194?\n\"Answer: g**3 + g**2 - 1422*g - 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 24 + 27 = 0. Let i be (-2)\/8*((-1)\/j - -1). Which is the nearest to 2? (a) -1 (b) -2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(-3)\/(-14)*(-79)\/(-18). Let c = 13\/6 + i. Let 0 - c*j**5 + 0*j + 6\/7*j**4 + 2\/7*j**2 - 6\/7*j**3 = 0. What is j?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/52 - 15\/(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14740533 to the power of 1\/3, to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 209757960 and 153108.\nAnswer: 209757960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000565163373 to seven decimal places.\nAnswer: -0.0000565","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 5*g + 5*q + 12, -3*q = 5*g - 50. What is the remainder when g is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 23146, 46233, 69320?\n\"Answer: 23087*o + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 5:07 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5*t + 12. Let h(z) = -z - 3. Let m(g) = 2*c(g) + 9*h(g). Let n(s) = 3*s - 7. Suppose -5*l = -17 + 7. Let d(v) = l*n(v) - 5*m(v). Give d(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -133002 + 200200?\nAnswer: 23154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -251.2 + 251.3. Which is the third smallest value? (a) w (b) 5 (c) 4\/2587\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 a when two letters picked without replacement from aks.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72206, 71376, 70550, 69728, 68910, 68096, 67286?\nAnswer: 66480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29992785 is divided by 4998797.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*j + 88 = 0, -t + j + 20 = -0*j. Suppose 2*w = -t + 8. Let d(p) = -p**2 - 4*p + 1. What is d(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 60 and -3.6.\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1)*x*x*((x\/x**4)\/x)\/x)\/(x**(-3\/13)*x\/(x**17*x)) assuming x is positive.\nAnswer: x**(172\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0155, -2\/3, -2 in increasing order.\nAnswer: -2, -2\/3, 0.0155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060 a factor of 1861228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l - 6. Let d(k) = 2*k - 11. Let p(w) = 3*w - 20. Let a be p(9). Calculate a*o(t) - 4*d(t).\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2925?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -18907 - 18927 - 65*u + 37816 in the form z*u + q and give z.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-2 + (0 + sqrt(128) - sqrt(128) - (sqrt(162) + 1*sqrt(162) + sqrt(162))))*5)**2.\nAnswer: 2700*sqrt(2) + 36551","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 438896389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) - -4*sqrt(300))*2)\/(sqrt(324) + 3*sqrt(324) + sqrt(324) - sqrt(324) - sqrt(48)\/(3*sqrt(12))).\nAnswer: 150*sqrt(3)\/107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 156*y - 529. Determine b(6).\nAnswer: 407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 7*w + 3. Determine h(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4746 and 9492?\nAnswer: 9492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211 (base 12) to base 2.\nAnswer: -100101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 + 5*n**3 - 2*n**3 - 3*n**2)*(11*n + 43*n + 12*n).\nAnswer: 198*n**4 - 132*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -45 (b) -0.123 (c) 482\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n\/n**0)*n**(-2\/5)*n**(-3\/4)\/n**(-2\/17) assuming n is positive.\nAnswer: n**(-351\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 46 = -5*s, -54726*s - 18 = 5*c - 54725*s for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 t when three letters picked without replacement from {w: 2, t: 6}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 540405783 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 2*o + 5 = -0*j, 4*j + 37*o = 6*o - 167 + 39 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -10*s + 32. Let r be c(3). Let x be (((-2288)\/(-12))\/r)\/((-4)\/(-6)). Let p be x\/65 - (-4)\/5. Solve 5*g + 10 = p*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mec when three letters picked without replacement from eemmc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 731 divide 413015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 410*w = -306*w + 9308 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 59507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -55, -59, -75, -109, -167, -255, -379?\n\"Answer: -o**3 + 3*o - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-9)\/12)\/(30\/(-32)). Let r = 0.002 - -0.498. Let g = 8.81 + -4.81. Which is the closest to -2\/5? (a) q (b) r (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least as big as -13842479?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 9*d - 367. What is c(15)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 283*x**5\/5 + 2*x**3\/3 - 389*x - 129. What is the first derivative of z(k) wrt k?\nAnswer: 1132*k**3 + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = 2*a - 56. Let f = -53 + 55. Solve 2*g + 2*i = 6, f*g + i - 3 = a*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7 - -3) + 15\/4. Which is the biggest value? (a) 5\/4 (b) r (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*z, 1302*h = 1301*h - 3*z - 14. Which is the fifth biggest value? (a) -2 (b) 5 (c) 8 (d) h (e) -0.067\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 2\/1883, -0.5, 1\/2?\nAnswer: 2\/1883","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, 0.19, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -288\/139 < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*g - 36*g + 74*g - 5*g**2 + 893.\nAnswer: -5*g**2 - g + 893","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*(-6 - -5) - 281. Let a = -219 - j. What is the remainder when 109 is divided by a?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 0*g + 13 = -3*a, -3*g + 4*a - 1 = 0. Suppose 0 = q + 9*t - 4*t - 8, 0 = -2*q + g*t + 76. Calculate the remainder when q is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6 + 0 = 5*q, 0 = -2*q. Let d(v) = -v**2 + 5*v + 5. Let n be d(b). Let y be (-4 - n*2) + 6. Let s(z) = -z**3 + 3*z**2 + 4*z + 5. Give s(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*j*v**3 - 77*j*v**2 - 2*j*v + 1086*j + 3713*v**2 + 13*v - 35 wrt v.\nAnswer: 24*j*v - 154*j + 7426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 6) in base 2?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56*t - 29*t - 29*t + 899*t**2)*(0*t**3 + 5*t**3 - 3*t**3).\nAnswer: 1798*t**5 - 4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 r, and 1 a when four letters picked without replacement from {r: 5, k: 6, l: 1, a: 1, o: 1}?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 117146, 117155, 117164, 117173, 117182, 117191?\nAnswer: 117200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1100010011210200 - -21?\nAnswer: 1100010011210221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 8 = 7*p - 5*a, 5*p + 5*a = -50. Let w(f) = 15*f + 2. Let y(b) = -8*b - 1. Give p*y(u) - 4*w(u).\nAnswer: -4*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 803061?\nAnswer: 3212244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27 by 28264.\nAnswer: -27\/28264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4774963180.\nAnswer: 2, 5, 13, 1412711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-230 - 214086\/(-930))\/((-1)\/(-4)*(-4)\/28)?\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3050881173 to the power of 1\/3, to the nearest integer?\nAnswer: 1450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 565.076 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(16\/7)*g*g**(6\/7)*g assuming g is positive.\nAnswer: g**(36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 6*t = 10. Solve t*z - 5*u - 15 = 0, -u + 27 = -z + 6*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.5 - 2. Let v = -0.5 + 0.1. Let b = v + -0.1. What is the nearest to -1\/3 in g, -0.3, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-10 + 4 - -3)\/((-15)\/1690) - -6 is divided by 162?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from {x: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-68)\/(-13481))*(-150)\/(-975).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-95)\/(-175) + (-2)\/14. Factor -4\/5*z - l + 4\/5*z**2 + 16\/5*z**3 + 14\/5*z**4 + 4\/5*z**5.\nAnswer: 2*(z + 1)**4*(2*z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 536086 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**3 + 111*p**2 - 1519*p - 152. Determine r(25).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.24 + -0.06. Let i = 36.41 - -3.39. Let m = i + -40. Which is the biggest value? (a) d (b) 2\/5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 686490423.\nAnswer: 3, 137, 857, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-672)\/(-40) - (-2)\/10. Let n = 29 - m. Solve z - n = -5*b, 0 = -2*z - 0*b - 3*b + 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16086249?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163*w = 31473 - 51256 - 37104. Calculate the remainder when 3500 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42207610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -56 - ((-1 - 4) + 3). What is the units digit of 156\/27 - 12\/l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/71, 95\/4, -4?\nAnswer: 3\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94320962.\nAnswer: 2, 1307, 36083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 687.\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -1.7. Suppose 0 = -3*o - 2*s - s, -5*s - 10 = 0. Suppose v = o - 0. What is the second biggest value in v, 4, h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.864153878 to three dps.\nAnswer: 0.864","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 185047, 184779, 184511, 184243, 183975?\nAnswer: 183707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 10:53 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 14*y**2 + 14*y + 11. What is b(15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 10*t - 13. Let n be s(-6). Let x(c) = 2*c - 6. Let z be x(n). Suppose z = 3*i + 1. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 6, 1, -23, -44 in descending order.\nAnswer: 6, 4, 1, -23, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(272) + -1 + sqrt(272) + (sqrt(272) - (sqrt(272) + -2 + sqrt(272)*-1))**2)*-2.\nAnswer: -546 - 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 150394 in 4, 0.02, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 13.854*-0.347\nAnswer: -4.807338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.855489km in nanometers?\nAnswer: 2855489000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1402*b**2 + 2*b**3 - 699*b**2 - 702*b**2 + 144*b wrt b?\nAnswer: 12*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/(-1))\/(2\/(-2)). What is the closest to j in 2\/3, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2865429 is divided by 4915?\nAnswer: 4899","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 211 + 20010?\nAnswer: 20221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.55 + 1.05. Put -4\/3, 1\/5, -2\/15, o in descending order.\nAnswer: o, 1\/5, -2\/15, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 + 37. Suppose n + 22 = -w*l, -l + 5*n - 28 = 2*l. Let j be l + (2 - 4) + 4. Sort -5, 4, -2, j in increasing order.\nAnswer: -5, j, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -211401 + -203?\nAnswer: -212104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 13*d**2 - d - 1. Let z = 11 - 10. Let f be 2\/z*(-2)\/4. Is 13 a factor of s(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -74.43 + 74.397. What is the closest to x in 1\/3, -2\/5, 0.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 6) to base 2\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -382 - -386. Suppose -3*h = -12, -6*j + 2*j + a*h = -628. Is 23 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 378 by 3.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 9*h - 5. Let u be k(-8). Suppose -u*b - 3*x + 18 = 0, -11 = 5*b - 5*x - 61. Solve 5*r = 5*g + r - b, r - 19 = -4*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -71 - -65. Let x = m + 2. Let u = 1.3 - 0.1. Sort x, u, -2\/9, 2.\nAnswer: x, -2\/9, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjpqpujmpuujmk. Give prob of picking 1 j and 1 k.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*f - 253 + 3424 = 666 - 1193 for f.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*p - 2*p + 7*p. What is the third biggest value in p, -1\/3, 21?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a*d**3*j + 3*a*d*j*k + 21*a*d*j - a*j + 22*d**3*k + 2*d**3 - 4*d*k + 4*j*k with respect to k.\nAnswer: 3*a*d*j + 22*d**3 - 4*d + 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2886)\/4)\/(75 + (-4455)\/54) + (-1)\/5?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 6305608.\nAnswer: 12611216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -4*o**2 - 39*o. Determine l(-11).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -25. Let p = -14.5 - r. Sort -5, p, 2\/3.\nAnswer: -5, p, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -o**10\/30240 + o**7\/2520 + o**4\/12 + o. Let x(w) be the third derivative of f(w). Find the third derivative of x(c) wrt c.\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + -77 + 0 + -1. Let p = 7031\/10 + -705. Find the common denominator of p and (45\/84)\/((-6)\/v).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 2.2. Let k = -2.2 - z. What is the nearest to 2 in 3, k, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + ((-4)\/3)\/((-96)\/108). What is the nearest to 0.2 in -2, -4, l, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-36570)\/(-12) + 7 + 11\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21336470 rounded to the nearest ten thousand?\nAnswer: 21340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 13*a. Let w(z) = -1. Let r(d) = d + 3. Let b(q) = -r(q) - 3*w(q). Calculate y(b(l)).\nAnswer: -13*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -107536 (base 8) to base 4.\nAnswer: -20331132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6339, -6334, -6325, -6312, -6295, -6274, -6249?\n\"Answer: 2*h**2 - h - 6340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -652.8 - -640.8. Which is the closest to t? (a) -5 (b) 2\/33 (c) 0.1 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 3:50 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -67, 0.324, 2\/3?\nAnswer: 0.324","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2176295899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 4*o + 2*u - 28, 5*o + 4*u = 38. Solve 4*i = 2*i + o for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*((b**4*b*b)\/b)\/b*b\/b**1)**(-15\/2)*(b*b*b**(-4)\/b*b*(b*b**(-4))\/b*b)\/(b**(-3\/7)\/(b*b\/((b\/b**(-6))\/b))) assuming b is positive.\nAnswer: b**(-375\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 617534?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -19. Calculate the remainder when 22 is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.038 + 0.248. Let d = y + -0.01. Let s = d - 4.2. Sort s, 2\/9, -3.\nAnswer: s, -3, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-352)\/(-6608) - 2\/(-7) - (-53)\/(-159)?\nAnswer: 1\/177","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/6)\/((-1)\/(-6)). Let l = -0.17 - -2.97. Let o = l + -3.8. Is o less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*y**3 - 18*y**3 - 200*y**3 - 20*y**3 + 26*y**3.\nAnswer: -303*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.82 - -0.18. Let x = -1 - i. Let n = 10 + x. What is the closest to -1 in n, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.019 (b) -4\/7 (c) 2 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(sqrt(20)*-3))**2.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a millennium in decades?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**2 - 7506356*s = 0.\nAnswer: 0, 3753178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 503062*r + 0 + 503059*r - 1006124*r.\nAnswer: -3*r + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -224002*a**2 + 11*a - 5. Let d = -31 - -24. Let k = 12 + d. Let f be c(k). Round f to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*h + 150 = -66*h + 134*h for h.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3564816 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -4*y + 52, -p - 3*y + 4 = -25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + 8)\/((-4)\/(-6)*3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5226 (base 8) to base 2\nAnswer: -101010010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3668 divided by -4?\nAnswer: -917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/3)\/(4\/(-12)). Let i = o - -12. Let q(u) = -3*u**i - 3*u**2 + 2*u**2 - 3*u**2. Let f(l) = -l**2. Give f(q(b)).\nAnswer: -49*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z - 1276 - 3*z + 0*z + 1220 - z to the form o*z + l and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27 in 988.4, -2\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/7*64\/(-5376)*-28.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*x - 2. Suppose -5*y + 158 = x. What is the remainder when 60 is divided by y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 11259.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/21 - 32\/3. Let h be 10 + (-1 - -1)\/2. Let k = h + n. Solve -4 = -k*y + 4*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**5\/13 - 224*l**4\/13 + 6042*l**3\/13 + 12996*l**2\/13 = 0. Calculate l.\nAnswer: -2, 0, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2933.\nAnswer: 7, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 0*n - 24 = 0. Let k be -1 - -1 - n\/(-14). Which is bigger: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3 + 83*l - 94*l - 1. Let q(x) = -x. Calculate d(z) - 2*q(z).\nAnswer: -9*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*f + 8*f + 292. Calculate the remainder when f is divided by 76.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-30))\/(1*(-7)\/(-5))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78766946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/71 or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 0 + 7*n + 5 - 6*n. Does 8 divide v(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22611 - -31689. Calculate the greatest common factor of u and 204.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-1*(sqrt(325) + -5)*4)**2 + 2 + -4) + -4.\nAnswer: -22396 + 3200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1236653*t - 1236653*t + 92*t**3.\nAnswer: 92*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 0*b + 0*b)*(1 + 1 + 0) + 64593 - 64593 - 86*b.\nAnswer: -88*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/2)\/(30\/(-15788)). Suppose 52*a - 1305 = 5*n + 50*a, -1295 = 5*n - 4*a. Let r = b + n. What is the third biggest value in -2\/3, r, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 5) to base 10.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (45\/(-12))\/((-2)\/(-8)). Let u(x) = x**3 - 20*x**2 - 2*x + 25. Let i be u(20). What are the prime factors of (-2)\/i - 28\/w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 162666*b**3*u**3 - 2*b**3*u**2 + 53756*b*u**2 wrt u.\nAnswer: 975996*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*f - 8*f - 79452 = -86932 for f.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 314 divide 502770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9, 12, 15, 18, 21?\n\"Answer: 3*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7967?\nAnswer: 31, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 1171578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**2 - 11*u + 287. Let t be h(-15). Let r = -36 - -53. Suppose -3*a + 4*j = -5, -a + 3 = -5*j - 17. Sort r, a, -1, t in increasing order.\nAnswer: a, -1, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -1\/6*s**3 + 0*s - 1\/12*s**4 - s**2 - 1\/60*s**5 + 0. Let x(d) = 0. Calculate d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -22*a**2 + 251*a - 93. Give w(10).\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -6*f**2 + f**3 - 8*f**2 + 7*f - f**2 + 12 + 5*f**2. Let o be x(9). Find the common denominator of 91\/8 and (-107)\/(-6)*o\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1)\/2)\/((-143)\/(-11)))\/(8*(-2)\/8)?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 43807 = -3*x, -113618 = -5*j - 5*x - 4163. Let c = j - 394031\/18. Calculate the common denominator of -61\/75 and c.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, i: 2}. What is prob of sequence sss?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 6 = -4*f. Let q = 2\/5 + -11\/15. Let i = -0.08 + -0.32. What is the closest to -1 in q, f, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**9\/(r*r**10\/r*r*r))\/((r\/r**(-1\/2))\/r**10) assuming r is positive.\nAnswer: r**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (-7 - 0) - 3 - (-6 + -2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g + 23*g = 30. Calculate the remainder when 18 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8747*k - 15264 = -8429*k for k.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in 4, 1\/4, -0.0539, 2\/3?\nAnswer: -0.0539","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(165)\/sqrt(3) + sqrt(55))\/sqrt(11) - sqrt(5)) + sqrt(20) + -1 + ((sqrt(5)*-1*-4)**2 - (-5 + sqrt(20)\/sqrt(4))).\nAnswer: 2*sqrt(5) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2717*r**3 + 651*r + 650*r - 1301*r)*((4*r + r - 2*r)*(2*r + 3*r - 6*r) + 3*r - 3*r + 2*r**2).\nAnswer: 2717*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20231 - 10?\nAnswer: -20301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.066 in 0.5, -4, 12, 1\/6, 5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 726 and 144.\nAnswer: 17424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 0.1, 0.3, 6\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -218, -2\/5, 2586?\nAnswer: 2586","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1856 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((((a\/((a*a*a*a\/(a\/a**(2\/3)))\/a))\/a*a)\/a)\/a*a)\/a)\/a)**(2\/17)*(a\/(a*a**3))\/(a*a**0*a*a*a*a))**(2\/15) assuming a is positive.\nAnswer: a**(-872\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjrljrjjljljppxpxjj. What is prob of picking 2 r?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 7*f**2 - 2*f - 11. Let p be a(6). Let i(q) = -2*q + 29. Let d be i(p). Suppose o + 22 = d*o. Calculate the remainder when o is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.964 + 6. Let q = -189.0457 - -189. Let w = q + o. What is w rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 8 = -5*t, 2*t = 2*f - 0 + 14 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 4856784.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - 2 - 3)\/((-2)\/10). Suppose -80 + i = -5*h. Let j(b) = 7*b + 1. Let c be j(2). What is the greatest common factor of h and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -90 - -89. What is the fourth smallest value in 1, -11, 4, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 10*w**2 - 11*w + 20. What is the remainder when f(-10) is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - 10*x + 4. Let n be d(10). Let r(l) = -l + 5. Let a be r(n). What is the first derivative of 3 + m**2 - a + 0 - 4*m**2 wrt m?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 470*h + 1333*h - 3 + 1 - 370*h - 576*h to the form q + v*h and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 121, -2, 2, 1 in ascending order.\nAnswer: -2, 1, 2, 13, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1012301ml in litres?\nAnswer: 0.0001012301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and -255.\nAnswer: -254.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-380))\/((-264)\/(-912)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/3)*g*g\/g**5)\/((g*g**(2\/7)*g)\/g**(-1\/6)))\/((g**1*g*g**(1\/5)*g)\/(g*g**(1\/3)*g*g**(-2))) assuming g is positive.\nAnswer: g**(-559\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -3 - 32. Let r = 41 + t. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.051324183 - 0.05133. Round p to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2236*s - 1355. Is k(-36) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p + 3*v + 9 - 4, 2*p - v - 7 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 298, 342, 390, 442, 498, 558?\nAnswer: 622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 130, 248, 366?\n\"Answer: 118*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*((-320)\/(-6))\/(-5). Suppose -c = -5*s - 10, 10 = -4*c + 2*s + m. Let y(u) = u - 4. Let n be y(c). Let r(z) = -z**3 + 2*z**2 + z - 1. What is r(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence czgz when four letters picked without replacement from ezezsgc?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -208, -645, -1306, -2185, -3276, -4573, -6070?\nAnswer: -7761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 + 39.64. Let n = 0.2 - 0.6. Let z = n + m. Round z to 2 decimal places.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 4*n**4\/7 - 55387*n**3\/7 - 208077*n**2 - 1747973*n\/7 - 346825\/7 = 0.\nAnswer: -25, -1, -1\/4, 13873","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rorrtotrrrtr. Give prob of picking 1 t and 1 o.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*3*(sqrt(2) + 4).\nAnswer: -48 - 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - -1)*0*(-3)\/12. Let r(s) = -s + 114. What are the prime factors of r(h)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjlmmjl. What is prob of picking 1 j and 2 m?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 224 = 1126. What is r rounded to the nearest ten?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -3*y + 0*y**3 - 3*y**2 + 0 - 5\/12*y**5 + 5\/8*y**4 - 1\/126*y**7 + 7\/72*y**6. Solve k(i) = 0 for i.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.8 and 13.\nAnswer: 36.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*c**3 + 43*c**3 - 3*c**3 - 16*c**3.\nAnswer: 111*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -79, 6, -2 in descending order.\nAnswer: 6, 2, -2, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -185790.348 rounded to the nearest 1000?\nAnswer: -186000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 56685400?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 24119, 24129, 24153, 24197, 24267?\n\"Answer: x**3 + x**2 + 24117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p + 7. Let h be v(-4). Solve 15 = -2*w - h*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 5*o**2 + 2*o + 1. What is z(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 12, 18, -4.\nAnswer: -4, 5, 12, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12401?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 2885.65.\nAnswer: -1154.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210\/(-20) + 12 - 12\/16.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-8))\/i**0)**(2\/39) assuming i is positive.\nAnswer: i**(6\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 140885933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 d when four letters picked without replacement from {p: 3, d: 5, n: 4}.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -875*g**3*z**2 + 80*g**3 - 2*g**2*z - g*z**3 + 11*g*z + 19*g - 2*z**2 wrt z.\nAnswer: -1750*g**3 - 6*g*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 23096 and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/15 (b) 4 (c) -2 (d) -1 (e) -210 (f) -0.5 (g) -44\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -3.8, -4, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*z - 2)*(46*z - 22*z - 25 - 23*z).\nAnswer: 2*z**2 - 50*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 - 2821?\nAnswer: -2827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 993720 divided by 120.\nAnswer: 8281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3 - -3) + 1 + 1616.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49 - 34. Suppose x*f - 112 = 113. Solve 2*u = 5*u - f for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**3 - 3*h**3 + 6*h**2 - h + 5*h + 5. Let v(g) = -g + 7. Let t be v(11). Is k(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -633365*w + 1647391?\nAnswer: -633365","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -345 = -4*u - 381. Put -3, -1, u, 2 in decreasing order.\nAnswer: 2, -1, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sx when two letters picked without replacement from {d: 2, x: 7, s: 3, g: 3, h: 3}?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262599.\nAnswer: 3, 17, 19, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*j + 327448 = 16*j. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 220 + (-1 - (2 - 2)). Suppose -b = 2*b - h. Let a be (-2)\/6 - b\/(-3). What is the highest common divisor of 12 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 224399 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of o**3\/3 - 113*o**2 + 158*o. What is the derivative of n(c) wrt c?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47 (base 15) to base 13.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)\/sqrt(16) - sqrt(220)\/(1*sqrt(5)))\/(-1*(sqrt(2268)*-3 + sqrt(2268))\/sqrt(7)).\nAnswer: -sqrt(11)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in -42, 0.5, -0.92, -4, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 5820 and 0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-3)\/(-68))\/1)\/(93\/(-1457)). Let f = -16\/3 + 269\/51. Let y = h + f. Sort 1\/5, 0.1, y.\nAnswer: y, 0.1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 63, 1 in descending order.\nAnswer: 63, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 1062?\nAnswer: -1062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.3, 3, -2\/20071?\nAnswer: -2\/20071","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + c - 9501. Let x(m) = 7*m + 40. Determine q(x(d)).\nAnswer: -49*d**2 - 553*d - 11061","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 6*d**2 - 6*d + 3. Let u(g) = -7*g**2 + 5*g - 4. What is -4*u(c) - 5*x(c)?\nAnswer: -2*c**2 + 10*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10747048915 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(1\/10)*l)\/l*l\/l**3*l**(-1\/3)\/l**(-5\/2) assuming l is positive.\nAnswer: l**(19\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t + 1. Let p be d(8). Put p, -4, 3, -2 in decreasing order.\nAnswer: p, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -92456, -185592, -278728, -371864, -465000, -558136?\n\"Answer: -93136*v + 680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -2*j**4 - j**2\/2 - j + 2. What are the prime factors of r(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 515200 and 4336000?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -39*q + 2. Let p be u(-1). Let z = p - 41. Solve d = -z*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -9398.556.\nAnswer: 3759.4224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 - (-9)\/(-2 + -1). Suppose 0 = -d + 2 - 0. Determine s, given that 2*s**2 + d - 4*s**p + 20*s**3 + 2*s - 22*s**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1231 + -1212. Solve -6 = 2*f, 23*f + 20 = 4*l + h*f for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -413, -413, -411, -407, -401?\nAnswer: -393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2.88, 14, 2\/5, -1\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*k**2 + k**2 + 0*k**2)*(-3*k + 2*k + 2*k).\nAnswer: 13*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 1 + x**2 - 5 + 7*x - x. Let i be k(-7). Suppose n = -h - 3, -i*h = -2*h + 5. Solve n + 1 = -3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 10:37 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + -2)*1*4. Suppose 0 = -17*c + 4*c + 26. Solve -v + c + 1 = 2*k, -u*k = 5*v - 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31 * 0.16.\nAnswer: -4.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zaa when three letters picked without replacement from aqqoqzoaqqaqoqoqooq.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 29) + (2 - -5)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, e: 1, k: 5}. What is prob of sequence kekk?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ge when two letters picked without replacement from egogmydem.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -g**8\/84 - 2*g**7\/21 - 29*g**6\/120 - 4*g**5\/15 - g**4\/8 - 4*g**2. Determine w, given that u(w) = 0.\nAnswer: -3, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -126 in -0.4, -0.5, 4\/5, -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -242*y**3 - 564454*y**2 + 15111584*y - 100568888 = 0.\nAnswer: -2359, 146\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/3 - 14\/(-78). Let w be (429\/(-44))\/(-3) + -3*1. Let i be (-3 - (-341)\/99)\/(28\/18). Which is the closest to w? (a) i (b) -2\/5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) + 2*sqrt(1872) + 5 + sqrt(1872) + 0 + -2 + (-1*sqrt(1872) + sqrt(1872) + -1 - (sqrt(1872) + -1 + -3)))*-1)**2.\nAnswer: 432*sqrt(13) + 16884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/220)\/(((-3)\/10)\/((-21)\/(2100\/80))).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 320\/(-15) - 16\/(-12). Let j(o) = o + 28. Let c be j(q). Suppose c*z + 168 = 2*x + 6*z, -5*x = -2*z - 432. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 25 = -5*u + 21, -5*j + 3*u = 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 15) in base 12?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3072 by 128.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) + (1*sqrt(102) - sqrt(102))*-3)*1)\/(-1*(sqrt(216) + 4*sqrt(216))).\nAnswer: -sqrt(17)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 7*j**2. Let g(f) = -3*f + 3*f - f + 2*f. Determine q(g(w)).\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3547541 (base 8) to base 14.\nAnswer: -1b3a01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.4894 to 0 dps.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 938 <= 936?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**3 + 32*x**2 - 18*x + 19. Give l(15).\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.111 + 23.889. Which is the biggest value? (a) 2 (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 4*r + 3. Let y = -8 + 4. Let m be n(y). Solve 0 = u - 5*b - 10, u + m*b - 2 = -0*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 2 - 3*r + 2*r**3 + 0*r**2 + 3*r**2. Let u be y(1). Factor 4*n**4 + 0 - 4*n**5 - 4*n**2 - 1 + 1 + 4*n**u.\nAnswer: -4*n**2*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 146*j*n**2*x**2 - 41*j*n*x**2 - n**2*x**3 + 3*n*x**3 wrt n?\nAnswer: 292*j*x**2 - 2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -10102?\nAnswer: 10055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3689698727.9999109 - 3689697996. Let m = 732 - t. What is m rounded to 6 decimal places?\nAnswer: 0.000089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.3745 + -0.0245. Let b = 3.35 - p. Let d = -0.11 + 5.11. Are b and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 12*w - 2*w**3 - 10*w + 8*w**3 as c*w**3 + r + i*w**2 + u*w and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j + 8. Calculate h(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0299 and 7.\nAnswer: 0.2093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (2 + 3 - 8)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-21))\/1*41088\/(-16). Let j = -243 - o. Find the common denominator of j and -115\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-22)\/(-4) + -2)*8. Suppose f = -4*y - 0. Let x(u) = u**2 + 7*u + 9. List the prime factors of x(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(2\/7)*m*m*m\/(m\/(m**(-30)\/m)))\/(m**(-4)*m*m*m\/m**(6\/17)) assuming m is positive.\nAnswer: m**(-3137\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3650 - 214?\nAnswer: -3864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14.5544 + -0.1756. Let l = 443 - 458. Let y = l - n. Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence puu when three letters picked without replacement from {u: 7, m: 7, p: 5}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -7*f**3 + 13*f**2 - 11*f + 1. Let p(d) = -3*d**3 + 6*d**2 - 5*d + 1. Let o(c) = 2*k(c) - 5*p(c). Calculate o(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/324*4*-1*45?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 5*f**2\/2 - f - 10. Suppose 6 = 2*x + 22. Let a(v) = 2*v. Determine x*a(w) + 3*s(w).\nAnswer: -w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 12:26 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(540) + 1*sqrt(540))\/((-2*sqrt(108))\/sqrt(9) + sqrt(12)) + ((sqrt(300)*-2)\/sqrt(12))\/(-1*sqrt(80) - sqrt(5)))**2.\nAnswer: 3136\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -317*h**5 - 22*h**2 wrt h?\nAnswer: -19020*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + v - 301 = -280, -4*v + 24 = -4*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b**4 - 1480*b**3 - 71476*b**2 + 5949600*b - 67964400 = 0.\nAnswer: -290, -126, 15, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/20 + (-1)\/(-2). Suppose h = 4*d + 4*k + 128, -4*d + 2*k - 17 = 93. Let a = d + 98. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 8 - 4)*(8*z + 63 - 63) - 3 + 3 + 3*z.\nAnswer: -101*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**3 - 4492*c**2 + 35984*c - 72000 = 0. Calculate c.\nAnswer: -4500, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2263*h**2 - 24 - 30 + 82 - 28 to m*h + j*h**2 + r and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.33337 minus 6?\nAnswer: -6.33337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 + -109 - ((-9 - -4) + 2*-7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p + 5. Let s(f) = -f**2 + 17*f - 34. Let g(q) = -4*b(q) - s(q). What is g(11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 186311, 186420, 186529, 186638, 186747, 186856?\n\"Answer: 109*i + 186202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15696 = -22*r - 14*r. Is r a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-15 - (5 - -1))\/((-10)\/(-3)) and -31\/32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10*-4*2\/(-16). Solve 6 = -t*m - 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 11 - 5)*(-40*c + 26*c - 43*c) in the form q*c + n and give q.\nAnswer: 1254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p. Let i(a) be the second derivative of -23*a**4\/4 - a - 131. What is i(d(s))?\nAnswer: -276*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 i, and 1 d when three letters picked without replacement from hdile.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 + -47. Calculate the common denominator of 1\/6 and (5 - o\/(-4))\/((-23)\/18).\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 3*a**2 - a + 5. Let b be j(0). Suppose -18 = -b*x - 23. Let t(h) = -191*h - 7. List the prime factors of t(x).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3821650137 to the nearest integer?\nAnswer: 61819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2198?\nAnswer: 2, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 8063*u - 48408. What is w(6)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.085 + -39.915. Let t = h - -40.5. Sort 3, t, 0.08 in decreasing order.\nAnswer: 3, t, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (69\/(-23))\/(8\/(496\/(-93)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 10*p**2 - 8*p - 8. Let k be x(9). Let v be 2 + -7 - -12 - k. Solve 15*t - 12*t = -v for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 3 - 3\/5*h**5 + 0*h**4 - 1\/2*h**2 + 0*h**3 + 0*h. What is the second derivative of o(f) wrt f?\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -44*t**2 + t - 1. Let g(c) = c**3 + 11*c**2 - c - 11. Let d be g(-11). Let u = 1 + d. Let s be w(u). What is s rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u + 2*u**3 - 5*u + 2*u**2 - 12*u**3 as z + n*u + j*u**2 + d*u**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17.437062ms?\nAnswer: 0.0002906177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*v - 1516 = 0, -v - 1968 = -4*m + 1059. Let l = -434 + m. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jnnkjdddnqn. Give prob of sequence kjq.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -3. Suppose z - p*z = 5*a, z = -a. Suppose -s + a = -7. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5185\/7 - 741. Is -2 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4 + 64*y**3 + 832*y**2 - 21504*y - 225792.\nAnswer: -2*(y - 28)**2*(y + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -30*p - 1. What is m(1)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 2*g - 2. Let i(f) be the first derivative of 4*f**3\/3 - 9*f**2\/2 - 9*f - 10. Give 2*i(b) - 9*x(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -686361*i**2*s*t**3 - 2*i**2*s*t + 2*i**2*t**3 - i**2 + 461837*i*t**3 wrt s.\nAnswer: -686361*i**2*t**3 - 2*i**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -33.24156237 - -0.080796\nAnswer: -33.16076637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*n**2*o**3 + 9*n**2*o**2 + 1068*n**2 - 27*n*o**4 - 2*o**4 + 17*o**3 + 1 wrt o.\nAnswer: 18*n**2 - 648*n*o - 48*o + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in five quarters of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.7 + -9.48. Let f = 0.4 + m. Suppose -89*j + 373 = -75 + 7 - 4. Which is the biggest value? (a) f (b) -0.1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*n**2 + 5026*n - 5026*n.\nAnswer: -103*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8068?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - -1)*(-32 - -33) - -32. Let h be 30\/(w\/7) + -3. Solve -5*o = -h*o - 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -36*((-680)\/15)\/(-4). Let s = 699 + d. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, 3, -1, -2\/15?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 2*v - 3, -7 = -3*v + d + 6. Suppose 0*a - 44 = -v*a. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (120\/(-210))\/((-1)\/63*-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.93 - 1.95. Let k = 0.02 + f. Let v = -0.3 - -0.4. Which is the closest to v? (a) k (b) 3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2746 and -0.0664?\nAnswer: -182.3344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(-1\/3)\/h))**20\/((h\/(((h\/(((h**(5\/6)*h)\/h)\/h)*h)\/h)\/h)*h)\/h*h*h*h**(11\/5)))**22 assuming h is positive.\nAnswer: h**(7139\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*h = -13*h - 7370. Suppose h*y = 741*y - 24068. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2. Suppose -2*v + 2 = -12. Suppose 5 = -2*k + v. Let b(t) = t - 1 + k. What is g(b(f))?\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzzzhzzzzzhzzzzh. What is prob of picking 2 h?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -32, -80, -148, -236, -344?\nAnswer: -472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 + -24. Suppose -r*o + 424 = -66. List the prime factors of o.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3\/7 + 40*i**2\/7 + 44*i\/7 - 720\/7.\nAnswer: -4*(i - 9)*(i - 5)*(i + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21785399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3388\/187 + 2\/(-17). Let t = 2 + 0. Which is the fourth smallest value? (a) y (b) t (c) -5\/3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2138571, 4277129, 6415677, 8554215, 10692743, 12831261, 14969769?\nAnswer: 17108267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9*4\/(-12) - 2)*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2491029949 a multiple of 167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-1)\/5)\/((-42)\/(-105)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102655.2 months to years.\nAnswer: 8554.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 u, and 1 n when three letters picked without replacement from nnnsuuuskqnqnnq?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1322372?\nAnswer: 2, 311, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 32\/5 of a millennium?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 7, -1.5, -1, -31?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3468675)\/(-90) - -3 - (-5)\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12361, -12346, -12331, -12316?\n\"Answer: 15*c - 12376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**4\/4 + 269*d**3\/2 - 14874*d**2 + 113395*d\/2 + 286825\/4 = 0.\nAnswer: -1, 5, 149, 385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3248 - -3233. Which is the closest to 1\/10? (a) f (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - -200120101002?\nAnswer: 200120101022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 82, 65, 4 in descending order.\nAnswer: 82, 65, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 100011101010011 (base 2) to base 4\nAnswer: 10131103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 680 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 817, 680, 245, -656, -2191?\nAnswer: -4528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 76 - 12. Suppose 0 + f = -4*y, -3*v + 6 = 3*y. Let l(x) = -x**2 + 18*x - 30. What is the lowest common multiple of v and l(16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.23 to one dp.\nAnswer: -10.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 18*a**2 + 16*a + 29. Give h(19).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -22*i + 6. Let f be (-642)\/38 - (-14)\/(-133). Let d(u) = -65*u + 17. Determine f*p(o) + 6*d(o).\nAnswer: -16*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1873.1 from 117726333.\nAnswer: 117728206.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 5*y**5 - 9605*y**4 + 4331075*y**3 + 270460805*y**2 + 4100354440*y + 3834234320 = 0.\nAnswer: -28, -1, 989","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 3.96. Let o = 0.0399994 + i. What is o rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, y: 11, f: 2}. What is prob of picking 2 c?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*s + 1440 = -28135. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = f + 1. What is the units digit of 3\/f*(-70)\/15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -215.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14250a (base 13) in base 14?\nAnswer: cac02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12\/13? (a) -0.1 (b) -0.21 (c) -1\/4 (d) 9.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3380.9 rounded to the nearest ten?\nAnswer: 3380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(4) + sqrt(28)\/sqrt(7)) + 1*sqrt(16) + sqrt(4))\/((sqrt(128) + (sqrt(128) + sqrt(128) + (sqrt(128) + sqrt(128)*1 - sqrt(128)))*3)*-1).\nAnswer: sqrt(2)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 5*b**2 - 2*b - 2. Let c(l) = -l - 1. Let i be c(4). What are the prime factors of j(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a. Let n(s) = -844*s. Give n(x(f)).\nAnswer: 844*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**(4\/5))**(-1\/11))**(27\/2) assuming o is positive.\nAnswer: o**(-81\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 6*(-1 + sqrt(68) + 0 + -4 + -3*1*sqrt(68)*3))**2.\nAnswer: 6336*sqrt(17) + 157761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 196171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1419\/994 - 36\/497. What is the closest to 318 in b, -4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 70 + -69. What is the closest to -1\/9 in -2\/5, s, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a century in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26453457.9s in days?\nAnswer: 306.17428125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(-1\/12)\/g))**(-13\/4) assuming g is positive.\nAnswer: g**(-169\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/193242 and -71\/19866.\nAnswer: 2125662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13560000 rounded to the nearest 100000?\nAnswer: 13600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31526925 by -3.\nAnswer: 10508975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 3\/8 (b) 0 (c) -2 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -164 + 178. Suppose 368760000 = a*t + 14*t. What is t rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40712 divided by 4.\nAnswer: 10178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-15)\/(-10) + -2)\/(2\/220). Let o = g + 125. Suppose o*w = 68*w + 36. Is 18 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/5)*s)**(-3\/2)*(s*s**(3\/4))\/(s*s\/(s*s*s**(5\/4)))*(s**(-1\/2))**10*s**(-3\/5)\/(((s\/(s*s*s**(-2)))\/s*s)\/s) assuming s is positive.\nAnswer: s**(-47\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 54.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 4, 0.2, -2, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -593387425*i**2*j**3 - 22*i**2*j**2 - 2*i**2*j - 2*i**2 - 47*i*j**2 + 13*j**2 - 42*j wrt j.\nAnswer: -3560324550*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 32\/5 + -8 + 1. Which is the biggest value? (a) -7 (b) 3 (c) u (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 153*d**3 + 6*d**2 + 31*d - 103. List the prime factors of m(3).\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 527 and 239848767?\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 3, -0.4, 7, -66 in ascending order.\nAnswer: -66, -0.4, -2\/9, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/(-48)*((-194)\/630 + 32\/144).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 1 = -1. Suppose -2*x = -3*x. Suppose -2*l - 5*d = 14, 5*l - 19 = -2*d + 3*d. Put r, x, l in descending order.\nAnswer: l, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 486514\nAnswer: -145954.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53058?\nAnswer: 2, 3, 37, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 10 = -4*y. Suppose -k + y*k = 2. Solve 0 = k*j + 4 - 6 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 4*k**2 + 11*k - 8. Let q(t) = 2*t**3 + 5*t**2 + 20*t - 15. Let a(b) = 3*q(b) - 5*r(b). Calculate a(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62 + 5*w + 10 + 127 + 6 + 47 - 4.\nAnswer: 5*w + 248","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 2. Let s = 327 - 327.3. Let d = 4.3 + s. Which is the nearest to h? (a) 0.1 (b) d (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.9 - -1.1. Let z = 7560\/11 + -24113\/44. Let d = -139 + z. What is the closest to 4 in 2\/3, f, d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -91*w + 7. Let s(r) = -3*r + 2. Give -m(k) + 14*s(k).\nAnswer: 49*k + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5048 is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence npap when four letters picked without replacement from panpapaaa?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -199900587 * 5\nAnswer: -999502935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 7926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 300 and 81450?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0 - 6 = 4*x, 0 = -5*c + 2*x + 12. Let v be (-3 - c)\/(-1*4). What is the closest to -1 in -4, v, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5624.0099981 + 5623.69. Let j = -3.02 - -2.7. Let r = t - j. Round r to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.603049 to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-147)*6*(-7)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -74.7*0.53\nAnswer: -39.591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 349560191 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11 - (10 - 15 - -10). Let m(j) = -1 + 31 + 15*j - 3. What is the tens digit of m(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/7, 3\/1357, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -11*o**3 - 2*o - 2. Let g be i(-2). Let u(t) = 3*t + 1. Let q be u(3). Calculate the highest common divisor of q and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 4*k - 13, 0*q + 5*k + 20 = q. Solve 2*r + 2 = 4*d, -q*d - r = -0*d + 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*3\/(12\/(-12))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2477463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120\/240*5\/((-5)\/(-14)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*t - 84*t - t = 84*t + 4234 for t.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 9. Suppose u*t = 4*t - 3*r + 381, 0 = -4*t + 4*r + 292. Calculate the highest common factor of t and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -413556 divided by 6\nAnswer: -68926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47185 by 608.\nAnswer: 47185\/608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -11*b**3 + b**2 - 2*b + 1. Let o be x(1). Let j be ((-28)\/12 + 3)\/((-2)\/39). Which is smaller: j or o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, k: 5}. Give prob of sequence kuk.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8176, -8155, -8150, -8167, -8212?\nAnswer: -8291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2835 >= -405300\/143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.12 * -6.\nAnswer: 0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -30.6, -5, 7, 5, -1\/8, 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (69 + 58 + 92)*(2*w - 3*w - 6*w).\nAnswer: -1533*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*g**3*o - 278*g**3 - 2*g**2*o**2 + g*o**2 + 3*g + 14*o**2 + o wrt g.\nAnswer: 168*g*o - 1668*g - 4*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 778799 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z**3 - 2*z + 5*z - 7*z - 3 - 8*z**2 - 1. What are the prime factors of t(4)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1253618 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 8*x = 4*x + 567, -4*t + x + 441 = 0. Suppose -2*f - 10 = 0, 4*z - 35 = -5*f + 16. What is the remainder when t is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2392 - 4997 + 3*l**3 - 4183.\nAnswer: 3*l**3 - 11572","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/56*24500\/(-420).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 265060 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g**3 - 4*g**2 - 4*g + 5. Let z(u) = 8*u**3 + 12*u**2 + 11*u - 14. Let n(c) = -11*h(c) - 4*z(c). Let o = 333 + -329. Give n(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 350.046 + -365.3. Let k = r - 0.146. What is k rounded to 0 dps?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2300429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 102 - 111. Let j(g) = 5*g - 16. Let o(b) = b - 1. Let d(c) = -j(c) + 3*o(c). Let v(l) = -l + 6. Determine a*v(f) + 4*d(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 9*d**2 + 54*d + 186. Determine p(14).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 122\/5 - 24. Suppose 3 = 3*a + 6. Which is greater: a or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -341.3 to the nearest 10.\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -2*r + 14, 2*p + 0*p - 5 = -3*r. Is 10 a factor of (r - 2)*40\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t\/t**(2\/79))\/t*t))\/(t*t**(3\/10)*t*t)*t\/(t*t**22)*t*t\/(t**(1\/5)\/t) assuming t is positive.\nAnswer: t**(-3551\/158)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 4*v + 1. Let h(j) = j**3 - j**2 - j - 4. Let q be h(-3). Let t be 1652\/280 + 2\/20 + -40. Let i = t - q. Determine l(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/5876 and 101\/2486?\nAnswer: 64636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2696378 a multiple of 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(5\/(-2) - -2). Let r = -13 - -13.5. Sort u, 0.3, r.\nAnswer: u, 0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*m - 9 - 10, 27 = t + 5*m. Suppose -22*g - 38 - 12 = -116. Solve 2 + 4 = t*n, -3*c + g = -2*n for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65 + -29. Suppose -14 - q = -5*v. Calculate the greatest common divisor of v and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-9))\/(28\/6)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -48 + (2 - 0) - -4. Let k = w + 87. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12407 - 25037. Let r be (-14)\/(-63) - y\/27. What is the highest common factor of 24 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 249878011 to the nearest integer?\nAnswer: 15808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.177377ng in micrograms?\nAnswer: 0.002177377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -6742.66 to the nearest 100.\nAnswer: -6700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 10031346*a - 27547. Let d(u) = 2185*u - 6. Determine 27547*d(i) - 6*o(i).\nAnswer: 2119*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**2 - 22*y - 15. Let w be z(-24). Suppose 32*g - w = 29*g. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00014044747 to 5 dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -18*(-20)\/90 - -2904?\nAnswer: 2, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, r: 5, l: 2, m: 2, i: 1, c: 7}. Give prob of sequence cil.\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a + -3d6?\nAnswer: -3ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/((-48)\/(-15)) + (-1)\/(-2). Solve 3*a - i + 9 = 2*i, 0 = y*a + 2*i + 14 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 266030 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -13*z + 33. Let u(i) = -275*i - 100 + 562*i - 247*i. Let o(a) = 2*u(a) + 7*w(a). What is the derivative of o(p) wrt p?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 429?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1399309 is divided by 57.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 6*a + 7. Let b be f(5). Suppose -b*z - 10 = -7*z. Suppose -z*r = -3*r - 3. Are r and -3 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2 = -4*u + x, 2*x + 4 = -3*u. Suppose -14 - 28 = -4*z - u*m, -24 = -z - 5*m. Calculate the remainder when 15 is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 34\/5 of a centimeter?\nAnswer: 68000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and 27704196.1.\nAnswer: 27704201.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/23 in -29\/2, 1, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -423 (base 5) to base 15.\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**4\/d)\/(d\/d**4*d))**(-3\/25))**(-21) assuming d is positive.\nAnswer: d**(378\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-328)\/(-656)*(-8)\/(-26). What is the nearest to -3 in a, -0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 6 = 4*o, -1 = f - 2*o + 11 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 156 + 137. Let d = z + 183. Is d a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 9*g - 12 = 0. Suppose 0*n + 4*n - 108 = -4*t, 5*n = t - 27. Suppose -4*j + t = g. Let m(c) = -c + 7. Determine m(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xhnwqbh. What is prob of picking 1 h, 1 x, and 1 n?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 4, -18285, -0.4, 3\/4, 0.12, 2\/51?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w**2. Suppose 12*y = 13*y + 4. Let m(h) = -5*h. Let v(t) = 6*t. Suppose -3*d = 3*n + 3, 2*d + 8 = 6*d. Let r(z) = n*v(z) + y*m(z). Give s(r(q)).\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -71 in 5, 2\/11, 0.3, 4\/9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 172*c**2. Let h be (-8)\/4 + (4 - 3). Let i be g(h). Suppose -2*d = -6*d + i. Does 16 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 20. Let x(t) = t + 7. Let k(l) = -l - 8. Let f(y) = r*k(y) + 6*x(y). Differentiate f(m) with respect to m.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n**4 - n**3 - 573642*n**2 + 1696050*n wrt n.\nAnswer: 24*n**2 - 6*n - 1147284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 - f**3 + f**3 - 4*f**3 + 14*f**3 - 4*f**3 + (-5*f**2 + 0*f**2 + 2*f**2)*(-5 + f + 5).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3802 + -3813. Let c(z) = z**3 + 11*z**2 + 3*z - 9. Give c(q).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1310501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2\/2 - 36*r + 2242.\nAnswer: -(r + 38)*(5*r - 118)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5200 and 150740200.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*y = 7*y + 27*y + 516 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11792*r**2 - 18025*r + 1.\nAnswer: -23584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-46)\/(m\/(m\/(m\/(m\/m**(-19))))))\/(m**(2\/7)*m**(-2\/47)) assuming m is positive.\nAnswer: m**(-8963\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/30988572 and -31\/4422?\nAnswer: 340874292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 255*i*l**4 + 5*i*l**2 + 2*i*l - 55*i - 5*l**3 wrt l?\nAnswer: 6120*i*l - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/(-364)*14)\/(1\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -8759222\/5 not equal to -1751843?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 93, 122, 139, 138, 113, 58, -33?\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2052400 is divided by 5065?\nAnswer: 1075","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 430990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7547 * 65433.\nAnswer: 493822851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17024196737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = 71*c - 75*c. Let o = c - -57. Solve 0 = -o*u - 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 19*p + 725. Let w be z(-38). Let d(y) be the first derivative of -2\/5*y + 1\/15*y**w + 19 + 1\/25*y**5 + 3\/20*y**4 - 3\/10*y**2. Factor d(h).\nAnswer: (h - 1)*(h + 1)**2*(h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -21 - 16 + 13 + 7 - 2*v. Suppose 0 = x + 3*d + 23, 0 = -4*x - 3*d - 3 - 44. Calculate q(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 1035 = 5*c, -99 = -4*c + 3*r + 725. Solve 0 = -c*s + 221*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/105)\/((-400)\/4400)?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 0 - 3)*(-2 + 3 + 1)*(-5*z + 4*z + 0*z) + 0*z + 5*z + 0*z to the form r*z + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -78 + 81. Suppose -4*x - 4*a + 2*a = -774, 0 = -4*x + q*a + 759. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116, 557, 1404, 2729, 4604?\nAnswer: 7101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 2\/7 (c) 4 (d) 552538 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of 5\/2*m**2 + 14 + 0*m. Let c(q) = -5*q. Calculate c(h(d)).\nAnswer: -25*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.486 and -0.2?\nAnswer: 1.286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 23*l = 24*l - 23, -3*l + 9 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 385 - 391. Let l(h) = -2*h**3 - 12*h**2 - h - 6. Let g be l(c). Let q be 2\/((-136)\/(-74)) + -1. Is g not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262 is divided by 138?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -5*i. Let k be j(-1). Suppose k*l - 186 = 209. Calculate the remainder when l is divided by 18 + (-4 - 0) + 6.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/448 and 61\/594624.\nAnswer: 4162368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6548, 6560, 6572, 6584, 6596?\nAnswer: 6608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -645411 + 3*q + 5*q + 645411 + 2*q - 6*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**3 - f**5 + 3 + 2*f**3 - 16*f**5 + 9*f**5 + 6*f**5 + (2*f + 0 + 0)*(3*f**4 - f**4 - 9*f**4).\nAnswer: -16*f**5 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of 0*q**2 + 0 - 6*q + 1\/6*q**3. Calculate g(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -395 divided by 2?\nAnswer: -395\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/3 + (-6)\/(-9). Suppose 0*t = 5*w - 2*t - 97, y*w - 54 = -3*t. Calculate the remainder when w is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p + 0*p - 3*p)*(-3 + 12 - 7)*(116*p + 155 - 155)*(-7*p + p + p) as z*p**2 + t + k*p**3 + r*p and give k.\nAnswer: 1160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 59*m - 51*m - 200. Sort m, -4, 0, -3 in descending order.\nAnswer: m, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -535201.1 and -2?\nAnswer: 1070402.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 282 and 4371.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25020329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 250*b**2. Let y(g) be the first derivative of -g**4\/12 - 94*g + 70. Let x(q) be the first derivative of y(q). Determine x(h(j)).\nAnswer: -62500*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4 + (sqrt(17) + (sqrt(1088) - -1*sqrt(1088)))**2 - (-1*sqrt(170)*-2)\/(2*2*sqrt(10) + sqrt(10)).\nAnswer: -2*sqrt(17)\/5 + 4912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-70)\/48 - 4\/(-12). Let o be ((-2)\/3)\/(4\/12*-2). Let j be 4 - o\/(2\/8). Which is greater: j or k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-300)\/42)\/((-8)\/28)*(-74)\/(-10). Calculate the highest common factor of 5 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i + 1. Let v = -39 + 45. Let m(b) = -5*b + 57. Let l(d) = v*t(d) + m(d). What is the tens digit of l(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - 2. Let i = -6 - r. What is i rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 0.03, -2.\nAnswer: -2, 0, 0.03, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 4:25 AM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 617*k - 24670. Let p be r(38). Let u = 36 + 8. Calculate the greatest common divisor of p and u.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 - 16420*j + 23674560.\nAnswer: -5*(j - 1084)*(j + 4368)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(210\/15))\/((-18)\/4*(-363)\/(-99)).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11014 or 11018?\nAnswer: 11014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1247.46 rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 10*f + 10. Let d be u(-10). Let y(c) = -c + 14. Let a be y(d). Solve -a*l + 18 = -2*q, 2*l = -l + 3*q + 15 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4961001959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-95)\/(-15) + (-2)\/(-3). Let m(j) = -9 + 0 + v + 0 - j. Determine m(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (4\/14)\/(37\/((-1211084)\/(-1680))) and 43\/360.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o - 3*o - 3*o + 0*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 2*a = k - 18, -5*k - 4*a + 66 = 0. Solve -4*h - h = k for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2441 (base 6) to base 5.\nAnswer: 4401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*s = -115 + 302 - 571 for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 13*v**2 + 15*v. Let j(b) = 31*b - 200. Let h be j(6). What is a(h)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301 is divided by 79.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand l - l - l**2 - 17*l**2 + 19*l**2 - 25 - 7*l**2 + (-1 + 1 - l)*(0*l + 2*l + 0*l) + l**2 - l + l - l**2 - 1 + 1.\nAnswer: -8*l**2 - 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -82 + 72. What is the units digit of (-2)\/j - (-6783)\/35?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 550, 2\/17 in descending order.\nAnswer: 550, 2\/17, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 667.\nAnswer: 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 41193013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z**2 - 6*z + 5. Let i be d(-7). Let u = -16 - i. Differentiate -6*s**3 + u - 93 - s**3 with respect to s.\nAnswer: -21*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17559583?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 8 = -0. Let h = -1 - c. Suppose 5*i - i = 0. Solve 2*b + b - 5*x = -10, i = 2*b + h*x - 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-80))\/(((-111)\/740)\/(18\/10)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 108634?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**3 + 1652*i**2 - 203520*i - 61747200 = 0.\nAnswer: -134, 480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11704053?\nAnswer: 3, 3901351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**5 - t**5 + t**5 + (0*t**4 + t**4 + t**4)*(t - 7*t + 4*t) + 1 + 54*t**5 + 25*t**5 + 48*t**5.\nAnswer: 122*t**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (7 - 4)) + 2 + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 11:52 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 9*f**2 + 70*f - 20. What is a(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 2:46 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwxgrwwddgwggww. What is prob of sequence rxw?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 389272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -8. Calculate the remainder when 16 is divided by (w\/6)\/((-1)\/12).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2399 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 + 571632455363100*g - 571632455363100*g.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/3)\/(-2)*6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 1. Suppose 0 = -0*h - d*h + 54. Let n = h + -7. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11347425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-7) - (258\/(-21) + 8). Which is the nearest to 0.2? (a) -0.7 (b) q (c) 0.4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (146*r - 8 + 7 + 1)*(2 - 2*r**4 - 2).\nAnswer: -292*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*b + 136 = -31*b. What is the greatest common factor of b and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 2*j**2 + 2*j. Let u be x(3). Let k be 6\/u*(-15)\/(-4). Do k and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 445834 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -0*i + 5*i - 50, 4*z = 0. Suppose 2*r + 30 = 4*j - 0*r, -3*r - i = j. Calculate the remainder when j is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23333834, 23333835, 23333848, 23333879, 23333934, 23334019, 23334140?\nAnswer: 23334303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -17 - 4 - 6*q - 7 + 4. Calculate the least common multiple of p(-8) and 4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**21*m**(-2\/11))**44 assuming m is positive.\nAnswer: m**916","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -441 = 66*s + 195 + 222 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 648 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -24287?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -4\/23, 0, -1339, -2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -2, 25, 88, 199, 370, 613, 940?\nAnswer: 1363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + (sqrt(300) - (sqrt(300) - (sqrt(300) + -1 + -2))) - sqrt(300) - sqrt(300) - 3*(sqrt(300) + 2))**2 + -3 + 1 + sqrt(300) + -5.\nAnswer: 550*sqrt(3) + 2774","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 253 + -247. Let v(f) = r + 13*f**2 - 1 - 6*f**2 - 8*f**2. Give v(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(931)*2 + (sqrt(76) - (sqrt(76) - (sqrt(76)*2 + sqrt(76) - sqrt(76))))\/sqrt(4)))**2.\nAnswer: 121600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 4, -5, 123, -29, -4.\nAnswer: -29, -25, -5, -4, 4, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/2729469 and -79\/867.\nAnswer: 46400973","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y**4\/7 + 69*y**3 + 3309*y**2\/7 - 1161*y + 4320\/7 = 0. Calculate y.\nAnswer: -96\/5, -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 1544.\nAnswer: 3\/1544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 25, 25, 35, 61, 109, 185, 295, 445?\n\"Answer: b**3 - b**2 - 4*b + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -5*o**4\/12 + 42*o**2 + 3*o + 570. Let b(y) = 16*y. What is a(b(t))?\nAnswer: -1280*t**2 + 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 0.010239598.\nAnswer: -0.020479196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 2*o + 102 - 115 = 0, 4*o - 23 = 3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 u, and 1 o when three letters picked without replacement from doouu?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i*(i*i*i**(29\/5))\/i*i)\/i))\/(i**(10\/13)*i))\/(i**(5\/7)\/i**20) assuming i is positive.\nAnswer: i**(4876\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7887*z**4 - 11408.\nAnswer: 31548*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (1*sqrt(84) + sqrt(84))\/sqrt(12) + sqrt(112) + 1)**2.\nAnswer: -12*sqrt(7) + 253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*u + 33*u - 2880 = -149*u for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -h**4\/12 - 11*h**3\/3 - 37*h**2\/2 + 50*h. Let q be d(-20). Solve -15 = 5*t + q*p, -4*p + 5 = t + 25 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21436 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sq when two letters picked without replacement from {e: 2, q: 7, s: 4, f: 1}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 51*y - 20*y - 33*y)*(3 - 3 + 2*y + (-5 + 2 + 1)*(57 - 10*y - 57)).\nAnswer: -44*y**2 - 330*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 11*z**2 + z - 5. Is a(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4 = -2. Let v be 40948\/(-6) - p\/(-6). Let s be (40\/(-3))\/(1\/v). What is s rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of 0*w**4 + 1\/40*w**6 + 0 - 79*w**2 - 1\/35*w**7 + 0*w**5 + 0*w - 32\/3*w**3. What is the first derivative of y(g) wrt g?\nAnswer: -24*g**3 + 9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 79 and 4361.\nAnswer: 4440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from ktktktkttjktkt.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3156 - -3219. Calculate the remainder when 187 is divided by h.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1502052869?\nAnswer: 1502052869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -458*m**3 - 23*m**2 - 186*m + 16. Is o(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**19)\/((z**(-12)\/z*z)\/z)*(z**(2\/21)*z)**30)**17 assuming z is positive.\nAnswer: z**(3315\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 35269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 at least -11806923?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4 = 8. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13526 is divided by 4079?\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 59 - 329*v + 334*v + 9. Is b(-8) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/(-1*(-15)\/(-260))?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5*o = -3*x - 20, 0 = x + 3*o + 5. Let v = 32 - 22. Let p = v + x. What is the remainder when 22 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -6061.0256?\nAnswer: -6064.0256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*c + 38*c + 3*c**2 - 21*c)*(350*c - 113*c + 97*c).\nAnswer: 1002*c**3 - 668*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -487321218.00000002 + 487321211. Let l = x + 7. What is l rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5553, 5549, 5541, 5529, 5513?\nAnswer: 5493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-108)\/189 + 7\/((-147)\/1479).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-40))\/((-5)\/((-50)\/(-1)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 h when three letters picked without replacement from hhbhbbyhhhyhyhybyyby.\nAnswer: 49\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 180.7918056s?\nAnswer: 0.00029892825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110329032.\nAnswer: 2, 3, 11, 41, 10193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 190822 - -5529?\nAnswer: 196351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 1)*12\/24. Put h, 2, -3 in descending order.\nAnswer: 2, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 + 253*l**2 - 3596*l + 6188.\nAnswer: -(l - 238)*(l - 13)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 536 - 537. Put 2\/9, 1, l in decreasing order.\nAnswer: 1, 2\/9, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 11) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 0. Let g(c) = 0*c + c + k*c. Let y(x) be the first derivative of x**2\/2 + 2. Calculate g(y(m)).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4383811?\nAnswer: 83, 52817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k + 8. Let j be g(-7). What is the least common multiple of -4 - (8 + (-190)\/20 - 57\/6) and (4\/6)\/(j\/90)?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1121, 0, 14, -55, 4 in descending order.\nAnswer: 14, 4, 0, -55, -1121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1992 or 1990?\nAnswer: 1990","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-5))\/((-56)\/(-140)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = g + 3*g. Solve -2*v = 3*h - 5, -v - 2 = -h + g for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 7. Let l(k) = 3*k**2 + k + 2. Let i be l(f). Suppose 0*h = 4*h + i. Which is the biggest value? (a) -0.5 (b) 0 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-24)*16\/(-3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*r + 1271 = -9579 for r.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(55) - sqrt(110)\/sqrt(2))\/sqrt(5) - 5*(sqrt(1584) - (-2 + sqrt(1584) + sqrt(1584))))**2.\nAnswer: -1320*sqrt(11) + 39721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 19124.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.874 + 0.126. Is q at least 17.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 14*a**2 + 11*a - 22. Is j(-15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43.27 - -43. Let t = -0.3 - f. Let l = 157.9 - 158. Which is the third smallest value? (a) 1 (b) t (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 13248581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, -2, 5, -25, 1, -1 in decreasing order.\nAnswer: 49, 5, 1, -1, -2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j - 18. Give x(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 33 - 60 = 3*h, 4*h = -5*j - 5. Which is greater: j or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 311\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66497 - 949 = 10*g + 18*g. Calculate the remainder when g is divided by 50.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1331105 + 1331104.94. Let c = 3.2 - 0.2. What is the smallest value in -2, c, 5, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -677.3 - -1776.1. Round r to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2886 * 0.217.\nAnswer: 626.262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (24\/36*-1)\/((-2)\/12)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35028 and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/1530*6)\/((-1140)\/(-75) - 16)\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 i when two letters picked without replacement from ibbpppib?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1144713 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 95982 and 54.\nAnswer: 863838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -4*o + 27. Let y be c(8). Sort -1, -18, 1, y in descending order.\nAnswer: 1, -1, y, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-3 - -6) - (139 - 128)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 1056*a**3 - 33*a**2 + 192*a + 94. Is n(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1354449 is divided by 682?\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 764172 to the power of 1\/2, to the nearest integer?\nAnswer: 874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 460020 and 5940?\nAnswer: 4140180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 9:31 PM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177*h**3 - 182*h**3 - 2 + 2 + 361*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by ((-32)\/(-10))\/(4\/(-30)*-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 297202090*m**3 + 8512*m**2 + m + 1892.\nAnswer: 1783212540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -142, -266, -350, -376, -326, -182, 74?\n\"Answer: 3*x**3 + 2*x**2 - 151*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -328 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -549.2 - 0.00987.\nAnswer: -549.20987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/4)\/(2\/(-4)). Suppose i*u - 3*t = 25 - 1, -32 = -5*u + 3*t. List the prime factors of u\/6 + 124\/12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17361893 + 232197956875\/13374. What is the common denominator of -17\/10 and t?\nAnswer: 66870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 554 or -0.066?\nAnswer: 554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 563 a factor of 1215670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-20)*((-6)\/35)\/((-12)\/(-40))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/(-9) - (-1 + 33\/6). Which is the closest to -2\/17? (a) m (b) -1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -52 and -56015?\nAnswer: 55963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*l + 3*m - 116, 5*l - 182 = 3*m. Suppose 0 = 4*x - 391 - l. List the prime factors of x.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -16*5\/45?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-21))\/(1\/3). What is the closest to 1 in 0.4, x, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-2 - (-3 + 5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 62062*k**2 - 13*k - 9 wrt k.\nAnswer: 124124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by 4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 224512?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -2) + -7 + (-10 - -8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1748754777 a multiple of 859?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 551 = -7*s + 13942. Let j = s + -142. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from jbggjjggjbjjggj.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (0 + -1) - (32 - 36).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/(((sqrt(432) - (sqrt(432)*-1 + sqrt(432)) - sqrt(432)) + sqrt(432) - sqrt(432)) + sqrt(432)))\/((-2*-2*sqrt(20))\/sqrt(5)).\nAnswer: sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from caaccaacca.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5490 + 1555 = 0. Is -1*c*3\/(-3)*-1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40191244 + -40191250.0000078. Let y = k - -6. Round y to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q. Let v(l) = -180*l. Calculate v(j(f)).\nAnswer: 360*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 433223 (base 5) to base 6\nAnswer: 152325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 0.5, 0, -8, -2 in increasing order.\nAnswer: -8, -2, -2\/7, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t = -4*t + r - 17, 0 = -5*t + 4*r + 32. Suppose 4*x + 4*p = 176, -t*x + 0*p = -3*p - 148. Calculate the remainder when 197 is divided by x.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 3*l + 53. Is y(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 14755 = -5*i - 11*l, 0 = 4*i + 2*l - 11802. Is i a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.4 (b) -2\/85 (c) 0 (d) -6\/11 (e) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 879?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 2*d**2 - d + 1. Let x = 3194 - 3196. Determine i(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*y**4 - 15*y**5 - 14*y**4 + 6*y**4 - 35*y**2 wrt y?\nAnswer: -900*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s + 0*s - s + s - 3*s + 5*s + (-4*s + 6*s - 3*s)*(3 + 0 - 5) - 1 - s + 1 to the form d + c*s and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f + 2. Let n(o) = 10*o + 142. Let k be n(-14). Let m(p) = 5*p**k - 14*p**2 + 10*p**2. Calculate i(m(w)).\nAnswer: -4*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 39315987?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 42 = -5*w + 41, 0 = -5*w - 4*k + 81. Let o be 1*(1 - 3) + -5. Calculate the remainder when w is divided by 2\/o + 130\/14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5921.\nAnswer: 31, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2*-1.4\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d + 22. Let h be o(-8). Is 36\/54*(-309)\/h a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2000345241 - -3?\nAnswer: -2000345234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v. Let i(a) be the first derivative of -1246*a**3\/3 - 528. Determine i(h(f)).\nAnswer: -4984*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 17907.039 minutes?\nAnswer: 298.45065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + -1 + (-132)\/(-6). Suppose -4*h = -3 - v. What is the smallest common multiple of 16 and h?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**4\/2 - 142761*u**3\/2 + 214155*u**2 - 6*u - 285540 = 0.\nAnswer: -47590, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113 + 229 - 2422*k**2 - 116.\nAnswer: -2422*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**2 - 120*x + 1398. Let h be o(-70). Let a be (-17)\/(((-6)\/(-8))\/(-3)). Put a, 1, h in ascending order.\nAnswer: h, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 - 3*j**2 + 5*j**2)*(-46*j**2 + 34*j**2 + 25*j**2 + j) - j**2 + 3*j**4 + j**2.\nAnswer: 29*j**4 + 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1260 and 186060?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39150 is divided by 1264.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 233*r - 366*r - 795*r as o*r + x and give o.\nAnswer: -928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 0, 3 in ascending order.\nAnswer: 0, 3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -698*f - 680 = -562*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1761.3 + 1761.3000012417. What is a rounded to seven dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -1.073571\nAnswer: -4.294284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82636 and 146.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -1510 + 274. Suppose y - m = 206, f = 2*y - 2*m + 6*m. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qpp when three letters picked without replacement from {p: 2, q: 7, f: 1}.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23647626.\nAnswer: 2, 3, 61, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 0.08, -0.04, -2.9, -45?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 16*p**2 - 14*p + 21. Let o be b(-15). Let w be (12*o\/24)\/9. Factor 0 + w*m + 2\/3*m**4 + 0*m**2 - m**3.\nAnswer: m*(m - 1)**2*(2*m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*b - 3*y - 27, -6122 = -4*b - y - 6133 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/23793 and -69\/221656.\nAnswer: 51202536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.482902703 to 3 decimal places.\nAnswer: -0.483","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**4 - 2*q**4 - q**4 + (5*q**2 + 4*q**2 - 3*q**2)*(-4*q**2 + 5*q**2 - 3*q**2) + 0*q**2 - 2*q**4 + 0*q**2 + (2*q**2 + q**2 - q**2)*(2*q + 3*q**2 - 2*q).\nAnswer: -10*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 5:27 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 114*o = 1486, -3920*d + o - 19 = -3917*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2.1 * -4\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 5. Let x(p) be the third derivative of p**5\/60 - 11*p**4\/24 - 19*p**3\/6 - 4*p**2. Does 6 divide x(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-364)\/(-195)*(-18)\/12.\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, 0.1, -13940, -5 in ascending order.\nAnswer: -13940, -5, 0.02, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**2 - 965163006*b + 77628302345913003 = 0. Calculate b.\nAnswer: 160860501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 88*d**3\/3 - 16*d**2 + 278*d - 90. Let h(z) be the first derivative of c(z). Find the first derivative of h(j) wrt j.\nAnswer: 176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 436 + -11236. Round h to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - b - 23, b - 6*b = -2*z + 37. Let t = 3 + -8. Let q = -5 - t. Solve -4*u + z - 2 = q for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7121?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -5*m. Let l(f) be the third derivative of f**5\/60 - 5*f**3\/6 + 2*f**2. Let t(z) be the first derivative of l(z). Calculate u(t(k)).\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/2420, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrss when four letters picked without replacement from {r: 3, s: 17}.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 220512 and 33612?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18.5 + -15.5. Let j = -35 - o. Let z = 0 - 0. Which is the biggest value? (a) j (b) 8 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 1:40 AM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1, 116, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23.02369541 - 1.02369581. Let p = -22 + f. Round p to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11886848521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 12) in base 10?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 4, -13, -2\/3.\nAnswer: -13, -2\/3, -0.6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4 + 0.8. Let q(p) = -p - 7. Let n be q(-5). Which is the smallest value? (a) n (b) -3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11432\/289 or 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d**3*j + 219*d**3*y**2 + 2*d**3*y + 390*d*j*y**2 - 3*d + y wrt j.\nAnswer: -d**3 + 390*d*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.4 + -6. Let h = r + 5.4. Let q = -0.2 - h. What is the nearest to 1 in -4, q, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1a1c2 (base 16) to base 8\nAnswer: 320702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.5 (b) -6 (c) -2\/19 (d) -3\/7 (e) 3 (f) -0.0958\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 429*4\/176*(-8)\/2.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**3 - 3*h**2 - h + 1209. Is m(0) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/25 of a meter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8200721203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qmoqmmeeoboqbemeem. What is prob of sequence ooom?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 5, 1, 653, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 42147455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -48139974 or -48139973?\nAnswer: -48139973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38188898 is divided by 103774.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1539493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.99219 - 0.00781. Which is the smallest value? (a) 0.17 (b) 2 (c) y (d) -1 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13421519333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -a**6\/24 + a**5\/4 - a**4\/4 - 4*a**3\/3 + 4*a**2 - 4*a - 75. Factor r(f).\nAnswer: -(f - 2)**3*(f - 1)*(f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-107408)\/283864)\/((-40)\/74)?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 696906554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 12519587*o**2. Let c(f) = 3*f. What is n(c(j))?\nAnswer: 112676283*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -2.8. Let r be 8\/14 - (-48)\/(-56). Which is the third smallest value? (a) 0.1 (b) r (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -10*f - 92. Calculate a(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -177850752*a**2*t - 1008*a**2 + 3081*a with respect to t.\nAnswer: -177850752*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3869173177 rounded to 5 dps?\nAnswer: 0.38692","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-98)*119*(-4)\/(-8)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 8*g**2 + 22*g + 24. Let q(f) = -f**2 - 16*f + 40. Let l be q(-18). Suppose l*p = p - 36. Let m be n(p). What is m rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*h + 537 - 361 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*p, -4*i - 2*p - 7 = -7*p. Suppose 6 = 8*d - 7*d. Let q = i + d. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 13495, 13194, 12893?\n\"Answer: -301*n + 13796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 9*v = 13*v + 182 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 100 - 100.05. Sort r, 1\/8, 0.4, -0.1.\nAnswer: -0.1, r, 1\/8, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m - 1 - m + 5. Suppose 0 = -3*k + 10 + 23. Suppose k = 4*t + 2*v - 9, -v = t - 7. Determine c(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + i**2 - 3*i + 2. Let x = -33 - -34. Suppose w + 2*d + 6 = 0, -3*w + d + 2*d = 9. Let j = w + x. Determine n(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/10*9090\/404.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (120\/16 - 8) + ((-460)\/(-8))\/5\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**4\/12 + 7*q**3\/6 - 7*q**2 - 113*q + 2. What is a(-7)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 30*o + 7 = -32*o, -2*o - 37 = -5*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 552.32 - 552.76954. Round c to two dps.\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 + -5 - 4 - (-2 + 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -69 - -1 - (-681 + 683 - (9 - 0))?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 23, 5, -4\/17?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/32198 - -80851\/11462488. Let v be (4583\/(-10))\/((-6408)\/10). Let c = v + i. What is the common denominator of 55\/18 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 3*g**2 + g - 1. Let f be h(3). Suppose j + f = 0, 4*w + 0*w - j - 14 = 0. What is the units digit of w*-2*3\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*i + 4 = 0. Let w = -6 - -13. Suppose -w*g + 2*g = -50. Solve x + 3*m + i = 0, -x - 4*x + 5*m = g for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 27\/((-72)\/8) + (2 - -2). Which is smaller: a or 1\/560?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, -7.4, -7\/2, -2\/25, 8, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7398940490 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -5*u - 42. Let c = 85 + -94. Let b be q(c). Is 9\/b - -538*1*1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + t**2 - 5*t - 2. Let l(m) = -m + 1. Let s(v) = 4*l(v) - q(v). Let z be s(0). What is the second derivative of d - 4*d**3 - 3*d + z*d**3 wrt d?\nAnswer: 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (-6 - (-14 + 14)) + 8.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 953080 divided by -47654?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/17 (b) 1\/3 (c) 0.3 (d) -4 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.204504367 to four dps.\nAnswer: -0.2045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-1*(sqrt(15) + (sqrt(15) - (sqrt(15) - sqrt(135)))))\/(sqrt(5) - (sqrt(180) - sqrt(180)*-2)) + (sqrt(243) - sqrt(27)) + sqrt(9)\/sqrt(3)*-4)**2.\nAnswer: 4043\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203610 is divided by 33910?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f**2 + 18*f + 27. Let q be i(-2). Solve 5*r = -2*t + q*t - 5, -2*t + 10 = 4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**4 - 124*z**3 - 21355*z**2 - 4266*z.\nAnswer: z*(z - 79)*(z + 54)*(5*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 5*l**2 + l - 1. Let v(x) = -4*x**2 - x + 1. Let q(b) = -4*o(b) - 6*v(b). Calculate the least common multiple of q(2) and ((-5)\/(-10))\/(3\/72).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m. Let g(b) = -3402*b**2 + 3*b. Determine h(g(j)).\nAnswer: -3402*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19507998.\nAnswer: 2, 3, 3251333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-2) + (-4 + 18\/12 - 4). Let a(r) = 4*r + 21. Give a(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45\/22 - -185\/198. Put -0.05, g, 0.3 in decreasing order.\nAnswer: 0.3, -0.05, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2767 a factor of 66402640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Expand (a**3 + 1 - 1)*(3 - 2*a - 3) + 3*a**4 - 7223*a**2 + 7232*a**2 - 11*a**3 + 0*a**4.\nAnswer: a**4 - 11*a**3 + 9*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 6. Which is the nearest to -2? (a) -0.3 (b) -3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -2. Let f(v) = 387 - 10*v**2 + v + 386 - 773. Give f(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4073 + -0.1849. What is g rounded to 2 dps?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 132620 to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 566733 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 8 = 3*j - 4*j, -4*s - 12 = -2*j. Solve 0 = 5*y - c + 25, y - j*y = c + 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21032 - 3042123?\nAnswer: -3021041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + c + c = 13, 5*c - 10 = 0. Let j = b - -1. Determine p, given that -5*p + 5*p - 2*p**5 + j*p**4 - p**3 - p**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13320533 (base 7) in base 3?\nAnswer: 2022120221222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1378*d - 918 = 1360*d. What is the remainder when 506 is divided by d?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 84 - 41. Suppose 0*u - 2*u = -n - 4, o = 3*n + 5*u. Suppose -2*b + 29 = a, -86 = -n*b + b + 2*a. Calculate the smallest common multiple of 20 and b.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 58687894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/6, 137, 1\/2, 1\/4 in descending order.\nAnswer: 137, 5\/6, 1\/2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -806.7, -2\/3, 3\/4, 6\/5, -20?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -862 + 517. Let g = -341 - w. Which is the closest to 2? (a) g (b) 0.1 (c) 0.01 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143436399 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2cb878 (base 16) to base 3.\nAnswer: -12111220022110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 85978 + 0.0169?\nAnswer: 85978.0169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/sqrt(5))\/sqrt(6) - sqrt(2)*1*4)**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -20.1*0.01\nAnswer: -0.201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 103337 rounded to the nearest one hundred?\nAnswer: 103300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + 0.32. Let g = m - 1.12. Is g less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*b**2 - 467*b + 4239 wrt b.\nAnswer: -8*b - 467","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 103, 1\/3, -12?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24502*w + 24544*w - 73603*w + 24555*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 4, s: 7}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 279, 997, 2197, 3885, 6067, 8749, 11937, 15637?\nAnswer: 19855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.053*-3801\nAnswer: -201.453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + t - 3 = 0, -2*t = 2*f - 6*t + 12. Suppose -2*g + 2 = 0, f = 4*p + 5*g - 4388 + 55. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -5*n + 1. Give c(5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 24. Let d = -21 + l. Let h be (-2)\/d + 38\/14. Solve 2*x = h + 7 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 924 * 123.\nAnswer: 113652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r = 4*s - 40, 4*r - s - 39 = 4*r - 38 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 542712914 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(0*v - v + 2*v)*(3*v**2 + 4*v**2 - 2*v**2) - 1 + 1 - 2*v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - k**2 - 6*k**2 + 9*k**2. Let n(x) = -23*x. Give n(a(p)).\nAnswer: -23*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2519)\/(-110) + -26)\/(2\/(-12)*1). Solve 18\/5 - 36\/5*c**5 + 57\/5*c**2 - h*c - 15*c**4 + 129\/5*c**3 = 0.\nAnswer: -3, -1, 1\/4, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.9 - 2. Suppose -6*p = -5*p - 1. Let t be -3 + p + (-42)\/(-20). What is the third smallest value in k, t, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2740 a factor of 851542818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 7684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/3 + 142*b**3\/3 + 1631*b**2 - 3600*b - 5184.\nAnswer: (b - 3)*(b + 1)*(b + 72)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 49945127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001000 + 1011111001000010001110?\nAnswer: 1011111001000000000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a + 12, -6*v + 108*a - 46*a + 38 = -2*v + 56*a for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 120 (base 4) to base 13\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -14*i**2 - i - 79. Let p(y) = -38*y**2 - 2*y - 236. Let w(f) = -11*o(f) + 4*p(f). Let k be w(-7). Solve 4*g + 18 = -2*c - k, -25 = 4*c + 3*g for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -54.19 - 432.51. What is y rounded to the nearest 10?\nAnswer: -490","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of 29*u**5\/10 - 97*u**4\/60 + 2*u**3\/15 + 12*u**2 - 14. Determine h so that k(h) = 0.\nAnswer: 2\/87, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 10, s: 2, w: 3}. What is prob of picking 1 w and 3 g?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 891*u**3 - 18*u**2 + 31*u - 15. List the prime factors of t(3).\nAnswer: 3, 61, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 + 9919?\nAnswer: 9909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 9*w**2 + 2*w - 4. Let o be t(4). Sort o, 1, -2 in descending order.\nAnswer: 1, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -102, -4, 5, -141 in increasing order.\nAnswer: -141, -102, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**3 + 45 + 47 + 46 - 135 - 7*j + 10*j to the form v*j + o + z*j**3 + h*j**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 138064969?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1403263133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 1174 = -260. Let j = c + -959\/4. What is the second biggest value in j, 2\/21, 0.19?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 42767762, 42767776, 42767800, 42767834, 42767878, 42767932?\n\"Answer: 5*c**2 - c + 42767758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 2 - 7, 0 = -4*y + 4*v - 96. Let j(l) = -l**2 - 6*l + 56. Let u be j(5). Let n be 3\/(-9)*y + u. Solve 5*g - g - n = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*n + 0*n + 3*n)*(-4 + 2 + 0)*(2 - 2 + 3)*(n + 0 + 0)*(2 - 2 + 2*n**2) as l + h*n + f*n**2 + k*n**3 + a*n**4 and give a.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 6*a = -12, -95*h + 49*h + 20 = -51*h + 2*a + 16 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1401 + -1563.8. Let b = -190 - w. Let l = -20 - b. Round l to 0 dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 3445899606 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d - 6. Let c be n(-6). Solve -c*p - 15 = 3*v - p, -5*v = -p + 25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/3*a**2 - 2\/3*a**3 - 4\/15*a**5 - 4\/15 + 14\/15*a + 14\/15*a**4 = 0 for a.\nAnswer: -1, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 12:19 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000017536 rounded to seven dps?\nAnswer: 0.0000175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20641449 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**4 + 34*h**3 + 76*h**2 - 496*h + 384 = 0.\nAnswer: -12, -8, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1334 - -1338. Solve -l = -f*r - 21, 6 = -r + 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012 (base 5) in base 12?\nAnswer: b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2108980 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -663 by 13.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 21*k**2. Let f(j) = -2156483*j. Calculate n(f(b)).\nAnswer: 97658797515069*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 15*i + 54. Let d be b(9). Suppose d = -5*m + 4*v + 6365, -29*m + 34*m = v + 6350. What are the prime factors of m?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 30216 + 2?\nAnswer: 30218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -31*z - 1. Let v(j) = 66*j + 3. Calculate -17*h(y) - 6*v(y).\nAnswer: 131*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66185?\nAnswer: 5, 7, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 45, 2, 3, -27, 4 in ascending order.\nAnswer: -27, 2, 3, 4, 7, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2978126?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.076 take away 24?\nAnswer: -24.076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79473, -317423, -713997, -1269195, -1983017, -2855463?\nAnswer: -3886533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 1625793?\nAnswer: -1625795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -934684*b + 934687*b = c - 28, 4*b = -4*c - 64 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 6*u**3\/11 - 144*u**2\/11 + 1152*u\/11 - 3072\/11 = 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2105069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*n - 1 + 143*n**3 + 140*n**3 - 285*n**3 - 3*n**2 to the form l*n**2 + b*n**3 + k*n + u and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - (-1 + -11 + 1). Suppose -17*l + 4*l - 104 = 0. Let a = l + w. Sort -6, -4, a.\nAnswer: -6, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 1, -2*a - 8 = -10*l + 20. Let w(o) = -2*o + 2. Let y(n) = n**3 + 4*n - 4. What is l*y(t) + 5*w(t)?\nAnswer: 3*t**3 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 775242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 5. Let h = i - 12. Let f = h + 59. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w + 3*w + 43921 - 87842 + 43921.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7281 is divided by 1805.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 + 55. Let b(y) = -8 + 119*y**2 + 4 - 4*y + 1. Let n be b(-1). What is the highest common factor of r and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 1:22 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 164661984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a - 15*a + 2*s = 26, s = -11*a - 39 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259701?\nAnswer: 3, 13, 6659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16*d**2*p + 27*d**2 + 3*d*p + 9*d wrt p?\nAnswer: -16*d**2 + 3*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*a**2 - 254*a**3 + 106*a**3 + 109*a**2 - 5 - 202*a**2.\nAnswer: -148*a**3 + 16*a**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2165, -4, 713, 0, 20 in ascending order.\nAnswer: -4, 0, 5, 20, 713, 2165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 2 - ((-12)\/(-4) + -5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55 and 23755.\nAnswer: 261305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5112\/5, 0, -8.3 in descending order.\nAnswer: 1, 0, -8.3, -5112\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 5*s**2 - 10*s - 8 + 0*s**3 + 7. Let d be -14*(-2)\/1*12\/48. What is the units digit of b(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310.32 minus 0?\nAnswer: 310.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 19*v**2 + 967*v - 100. Let c be h(-51). Is c at most -129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -8*k**2 + 1\/24*k**4 + 0 + 1\/6*k**3 + 0*k. Give q(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 10 + 2 = 0. List the prime factors of -3*r\/(-9)*-7.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101231 (base 4) in base 6?\nAnswer: -5125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -272297 divided by -820?\nAnswer: 272297\/820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -228, -446, -666, -888, -1112, -1338?\nAnswer: -1566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5488, -5500, -5510, -5518, -5524, -5528?\n\"Answer: g**2 - 15*g - 5474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3 - 3*p + 10*p - 4*p. Calculate n(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 0 - j**2 + 3 - 2*j + 0. Let y = 5 - 3. Let o be ((-6)\/3)\/(1\/y). Calculate t(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2218940 and 25739704?\nAnswer: 128698520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 2*n**2 + 2*n**3)*(-3 + 5 + 0) + n**3 + 3*n**3 - 3*n**3 - 15*n**3 - 64*n + 64*n + (-n - 1 + 1)*(-n**2 + 0 + 0).\nAnswer: -9*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from knkykvinnvinynyynynn. What is prob of sequence ynv?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-5\/3)*f*f**(2\/3)*f)**(-9))**(-2\/61))**(-50) assuming f is positive.\nAnswer: f**(-900\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -3 + (-7 - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314691 is divided by 62829.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-l + l - 3*l)*(1 - 2 + 2) + 2 - 2*l - 2 + 0*l + 0*l - 2*l + (6*l - 2*l - 2*l)*(-18 + 25 - 22))*(-3 + l + 3).\nAnswer: -37*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 5*x = -17, -4*x - 87 = -3*m - 81 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -29. Solve -5 = t*c - 2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0147*2184\nAnswer: 32.1048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 315846198?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -553, -1109, -1663, -2215, -2765, -3313?\nAnswer: -3859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -121*i + 1462*i - 45*i + 33696 for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 11*f + 19. What is the remainder when 74 is divided by h(-11)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, e: 5}. Give prob of picking 4 e.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 1) + 1 - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5864600 != -5864599?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v = 4769*t - 4766*t - 26, -2 = 2*t + v + 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*n - 119*n + 70 = 0. Suppose 0 = 5*b + 2*i - 22, -4*b + 15 = -0*i - i. What is the least common multiple of n and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 9\/61034?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45 + 4. Suppose -630 = -13*r + 7. What is the greatest common divisor of r and m?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 38*x + 203. Let k be q(-6). Solve 0 = -v - 4*y + 13, -4*v - 4*y = -9*y + k for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -414*o**2 + 207*o**2 - 30*o + 199*o**2.\nAnswer: -8*o**2 - 30*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 51 + 63 - 41*n - 114 as b*n + z and give b.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 89537760 a multiple of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/6*(0 - 6). Let a(o) = -5*o**3 - 4*o**2 + 2*o + 4. Let t = 18 + -29. Let i(f) = -14*f**3 + 11 - f + f - 11*f**2 + 6*f. Give r*i(b) + t*a(b).\nAnswer: -b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 6*d**2 + 4*d + 3. Determine g(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18293 - -18304. Suppose 0 = -2*x - 3 + 11. Let z be 80 - 1 - x\/2. What is the greatest common divisor of a and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, f: 8}. Give prob of sequence fff.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.94905 meters in nanometers?\nAnswer: 93949050000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-1 + -2 - (-5 - -3)) - -20\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of 2*f**3\/3 - f**2\/2 + 6*f. Suppose -7*w + 3*w = -8. Suppose -6 - 2 = -2*j + 3*r, w*r + 8 = 4*j. Give h(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -6*q - 40. Let a be u(-11). Calculate the greatest common divisor of 26 and a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -4*h + 2. What is z(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c + 4*m + 16, 0*c + 3*m = -c - 1 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - f = -3564 - 2488, 2*d = -2*f - 2428. What is the common denominator of -87\/10 and d\/(-140) - 1\/(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-26)\/(((-8)\/(-32))\/(22\/(-8))). Suppose -4*g = i + 34. Is -80 at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -21, -3\/8, -1, -2\/3, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2043403 to the power of 1\/3, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -5*p**2 - 4. Let u(d) = -4*d**2 - 4. Let v(x) = -5*g(x) + 4*u(x). What is the first derivative of v(c) wrt c?\nAnswer: 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/1088839 or 380?\nAnswer: -2\/1088839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-25))\/((-42)\/(-28))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6460739783\/207430938 + 3\/1047631. Let c = 364\/11 - t. What is the common denominator of c and 137\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 26*j - 153. Let n be d(9). Solve n = 15*f + 83 + 7 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 - 9 = -2*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152907 - 11*a**2 + 305886 - 152979.\nAnswer: -11*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 374.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2981*u + 226864 - 83776 = 0 for u.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 710 is divided by 26?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27333014.\nAnswer: 2, 13666507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/2784 and 157\/4524.\nAnswer: 36192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 4*a**2 - 4*a + 7. Let h be n(-4). Suppose -84 = -3*k + 4*c, -2*k = c - 22 - h. Is (62\/6)\/(k\/72) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -15*h - 42 + 21 + 24. Let i(j) = -8*j + 2. Give 5*i(l) - 3*t(l).\nAnswer: 5*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 7:22 PM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 201 + 519 = -3*r, -r + 446 = 3*k. What are the prime factors of k\/12 + 6\/8?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/2 - 597*w**2\/2 + 92295*w\/2 - 944339\/2.\nAnswer: (w - 293)**2*(w - 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6392874 to the power of 1\/2, to the nearest integer?\nAnswer: 2528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*r**2 + 49*r**2 + 2*r**3 + 10*r.\nAnswer: 2*r**3 + 10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7108.3*-4.\nAnswer: -28433.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 6:18 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 442583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 139, -547, -1691, -3293, -5353, -7871?\n\"Answer: -229*p**2 + p + 367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -5. Suppose -3*d + 75 = x, -6*x + 3*x = d - 257. Suppose x = z*c + c. What is the remainder when c is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 1719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4617)*-1)\/((sqrt(3)*2 + sqrt(3))*2) - ((sqrt(76) - (sqrt(76) - -4*1*sqrt(76))) + sqrt(76))\/(-2*sqrt(36)).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -5*k, -4*k + 398*q - 401*q + 7 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i - 6*i - i + 5*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and 43685.328.\nAnswer: 43685.328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 b when three letters picked without replacement from {b: 5, w: 3, j: 2, k: 1, s: 3, f: 1}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.24397 minus -123920125?\nAnswer: 123920121.75603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from abayu. What is prob of picking 1 u and 2 b?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 14*j - 28. Let a be z(-10). Find the second derivative of 9 - 21 - 86*r + a - 37*r**2 wrt r.\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.521 in -0.4, -2\/7, 160, -0.3, 1, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62320 = 3986026*s - 3986805*s for s.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 826.1232mg in nanograms?\nAnswer: 826123200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + 2*v**2 - 78*v + 12 - 10*v**2.\nAnswer: -8*v**2 - 80*v + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + (-2316)\/15 + 0. Let a = 152 + i. Is 1\/4 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 + 20 - 11 + v - v**2)*(-91*v**3 - 1745 + 1745).\nAnswer: 364*v**5 - 91*v**4 - 819*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 26\/6 - (-6)\/9. Let v(r) = 34*r**2 - 3*r - 14. Is v(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1312320? (a) -1\/2 (b) -1\/3 (c) 3 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((28\/49)\/(-4))\/((-1)\/2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a*i**3 - 18*a + 432*i**5 - i wrt i.\nAnswer: -12*a*i + 8640*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1377\/1135 - 3\/227. Let b = 0.6 - 0.5. What is the third smallest value in o, b, 0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(88) + (sqrt(88) + 1*sqrt(88))*-4)\/sqrt(4))\/((sqrt(99)*-1*-2)\/(sqrt(1089)*-1 - sqrt(1089))).\nAnswer: 77*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.9 + -0.1. Let i = 0.4 + -0.3. Let r = -0.8 - -0.3. Which is the nearest to u? (a) r (b) i (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -4*v + 6, -4*v + 7621 - 7655 = -6*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9919 is divided by 5290?\nAnswer: 4629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g + 6. Let c(i) = -2*i + 7. Let a(p) = -4*c(p) + 5*z(p). Suppose -2*q = q + 6. List the prime factors of a(q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 6) to base 10\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 9, x: 3}. Give prob of sequence xxv.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001132983 to 7 dps.\nAnswer: 0.0001133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 309 - 168088?\nAnswer: -167779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 14.6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -384 take away -16677171?\nAnswer: 16676787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/1593 and -68\/75.\nAnswer: 39825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36 - (1 + 0)) + (-13858 - -13872).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 15 + 21. Solve 0 = -2*a + 4*b, 2*a - 4 = y*a + 2*b for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z - 2*i + 26, 0 = -2*z - 6*i + i + 49 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at least 2980\/679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -2*r + r + 5*k, -2*r + 2*k = -4 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 161144.76 from 1.62.\nAnswer: -161143.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggawjag. Give prob of picking 1 g, 1 j, and 1 a.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 58*y**2 + 405*y + 21. List the prime factors of j(-16).\nAnswer: 8389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from {r: 2, m: 3, n: 10}.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1100)*-2)**2*-3.\nAnswer: -66000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*i = i - 72, 91 = 5*l - i. Suppose -4*d + 3*t + 98 = 0, -4*d - l = -5*d - 2*t. What are the prime factors of d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/sqrt(3) + -4 + -5 + (1*sqrt(1300) - (1 + sqrt(13))*5).\nAnswer: -14 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d - 29. Let o be n(8). Suppose 5*c + 5*l - 30 = 0, o*c + 4*l = -2*c + 29. Suppose 5*h + c*i - 20 = 0, 2*i = h - 0*i + 2. Solve -9 = h*f + f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l + 18*l + 8 = 0. Solve -l*s = 20, -4*s + 4 = 5*y - 1 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 4*g - 5*s - 194, 0 = -4*g - 3*s + 278. Let c be 3 - g\/(-138)*-6. Is c greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyt when three letters picked without replacement from {t: 8, o: 2, n: 6, y: 3}?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6214 divided by 7\nAnswer: -6214\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**4 + 25*l**2 - l**4 - 8*l**2 + (3*l**3 + 0*l**3 - 2*l**3)*(0*l + l - 2*l) as x*l**3 + h*l**4 + p + i*l + g*l**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -450 by 18973.\nAnswer: -450\/18973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7831 - 209*l**2 - 7831 + (4*l + l - 3*l)*(2*l - 4*l + 3*l) to the form r*l + b + a*l**2 and give a.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -954, -2\/17, 7, -4, 1, 24?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xm when two letters picked without replacement from {d: 1, t: 3, a: 3, x: 1, y: 2, m: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 967372?\nAnswer: 2, 7, 34549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*i**2*z - 51*i**2 + 50868*i*z**2 - 12*z + 4428535 wrt z?\nAnswer: -4*i**2 + 101736*i*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 944727812.\nAnswer: 2, 7, 33740279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2462776 from -2.407.\nAnswer: -2.1607224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4469591*k**2 + 139976*k - 1.\nAnswer: 8939182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 2\/7, -473\/6, -17, -1\/3, 2.\nAnswer: -473\/6, -28, -17, -1\/3, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 14566\nAnswer: -2913.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeetsmtmssmtse. Give prob of sequence emm.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1824794949 to the power of 1\/4, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + (1*sqrt(1584) - sqrt(1584)) - sqrt(44)) + (3 + sqrt(44)*-2)**2 + 3.\nAnswer: -14*sqrt(11) + 188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5728 and 1253?\nAnswer: 40096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1237 smaller than -69109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265*j = -310*j + 1800. What is the remainder when 385 is divided by j?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 22, 20, 10, -14, -58?\n\"Answer: -t**3 + 2*t**2 - t + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 8. Calculate the highest common factor of g and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 401204899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1104?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -20537 and 0.1.\nAnswer: -20536.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hw when two letters picked without replacement from {r: 4, k: 1, p: 1, h: 2, w: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - -104.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/7)\/(43758\/952952)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250 + 475 = -15*n for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*u + 27 - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j**2*p*r - 2*j**2*r**2 - 958*j*p**3*r**2 + 454*r**2 wrt p.\nAnswer: -2*j**2*r - 2874*j*p**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lssbtool. What is prob of sequence ssb?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -4, -3, 0.18, 105\/107?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 45*b**3 + 170*b**2 - 3*b. Let o(m) = -46*m**3 - 170*m**2 + 4*m. Let r(j) = 4*n(j) + 3*o(j). What is the third derivative of r(v) wrt v?\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 2. Let n be 2\/5 - (-3)\/g. Solve -n = -d, m - 9 = -7*d + 3*d for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 7*u**2 + u + 2. Let a(m) = -m**2 - m. Let x(h) = -6*a(h) - b(h). Let f be x(4). What is the units digit of 3 + 0 + (-4)\/f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11571212657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2626 - 2614 - 308\/26. Suppose k*r**3 - 12\/13*r**2 - 16\/13 - 30\/13*r = 0. What is r?\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -24, 714, 379 in increasing order.\nAnswer: -24, 4, 379, 714","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21806 is divided by 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1890439.6 rounded to the nearest 10000?\nAnswer: 1890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 168361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*b + 45152 = 335*b + 818*b for b.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*d + 1 - 1.\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 8*p + 12. Let k be f(-9). Let x(r) = r**3 - r**2 + 4*r - 4. Does 11 divide x(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 4*q + 7 - 36, 0 = 5*q - 2*s - 28. Let o be 6\/(-18) - (-20)\/q. Let f be ((-8)\/o)\/(10\/(-15)). Solve 4*t = 3*t + f for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 40*g**2. Let h(w) = 57*w + 42*w - 8*w. Determine h(m(l)).\nAnswer: 3640*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -382401, -1529676, -3441793, -6118746, -9560529, -13767136, -18738561, -24474798?\n\"Answer: i**3 - 382427*i**2 - i + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - p + 4, 2*p - 1 - 1 = -4*w. Suppose 0 = -d + w*d - 34. What is the remainder when 33 is divided by d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dtzdzzdzddzzztd. What is prob of sequence dztt?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 5*n, 0 = n - 6*u + 7*u - 7 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -51 and -16.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/8 + (-220)\/(-16). Suppose -18 = -3*j + 3*d, d + 4*d = 3*j - t. Suppose -23*k + 168 = -20*k. Calculate the highest common factor of j and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -s**4\/12 + s**3\/2 + 24*s**2. Let t(n) = 1. Let u(k) = -2*t(k) + z(k). Give u(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2524 + -765. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2365912504 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2638140 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-1537)\/795 + (-648)\/(-180))*(22\/(-10) - -2)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 412 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 4*((-5)\/(-10) - -13).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -830 * 63063.\nAnswer: -52342290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 + 69 = 4*d + 5*a, -5*d - 2*a = -15 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101010010000110000011 (base 2) in base 13?\nAnswer: -1204587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**3 - 4*d**2 - 1 + 0*d + 0*d + 3*d. Let p be z(2). Suppose p*m = 2*m + 99. List the prime factors of m.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1410, 5633, 12670, 22521, 35186?\nAnswer: 50665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (55\/20)\/(1\/48). Let x = -116 - -128. What is the highest common factor of x and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1391 + -97.4380255?\nAnswer: -1488.4380255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -3*j**5 + 300*j**4 - 4680*j**3 - 143520*j**2 - 508080*j - 484416 = 0.\nAnswer: -12, -2, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.45, 3\/17, 2.57?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -228 + 78. Is j a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 2*r - 9*t + 3 = 3*r, 5*r = 4*r - 2*t for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8502.\nAnswer: 2, 3, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7447 times 2?\nAnswer: -1.4894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-4)*0\/(-4). Let o = -40 + 119\/3. Let w = u + o. Do 1 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 16 = k. Let m(t) = -4*t**3 - 5*t**2 + 2*t - 9. Let f(h) = 3*h**3 + 4*h**2 - 3*h + 10. Let o(w) = k*m(w) - 5*f(w). List the prime factors of o(6).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 3*k + 1. Let y(o) = -3*o + 15. Let r be y(4). Suppose -2*c = -2*v + 10, -2*c + 15 + r = 5*v. Calculate t(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((q + 4*q - 4*q)*(2 + 0 - 4) - 26*q + 2*q - 12*q)*(1 + 0 - 4)*(2 + 1 - 5).\nAnswer: -228*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -14*a + 1. Let t(c) = 8*c**2 - 47*c - 10. Give t(x(u)).\nAnswer: 1568*u**2 + 434*u - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -9. Let y be (9\/12)\/(2\/l). Let q be (-1)\/(-3)*(y + 6). Calculate the highest common divisor of q and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 7 - 1. Suppose 0 = 4*x - b - k*b - 7024, -3*x + 5283 = 2*b. Let r = -858 + x. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 811624 a multiple of 253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -2*d + 14, 2*d + 337 - 335 = -l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -6*c - 1. Let q be w(-1). Suppose -155 = -2*g + 3*b, 0 = q*g - 3*b + 4*b - 396. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -127*z**2 - 19*z - 25. Let a(j) = 32*j**2 + j. Let n(k) = -4*a(k) - m(k). Give n(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/449 and 1\/899.\nAnswer: 403651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 8*t - 5. Let v be (2\/(-4) - 2)*(-24)\/10. Give s(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7134*88544.\nAnswer: 631672896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.29 - -0.2. Let w = u - -4.09. What is the second biggest value in -3, w, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + h = 5*h - 24, 4*y = 2*h - 48. Let b = y + 17. Is -2 + 130 - (b - 4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -19 + (17\/(-68) - 249\/(-4)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*y - 3*i - 42, 0 = 4*i. Let b = 3 + -8. What is the remainder when (44\/(-10))\/(1\/b) is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 136, 738, 2058, 4360, 7908, 12966, 19798, 28668?\n\"Answer: 44*i**3 + 95*i**2 + 9*i - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -93228 + -3?\nAnswer: -9322b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/1032 and 137\/133902?\nAnswer: 535608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 369 + -110?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 33 = -35. Let f(h) = 2*h**2 + 6*h - 5. Let w be f(k). Solve 0 = -i + x + 2, -14 = -w*i + 2*x + 3*x for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -8*w**2. Let b(n) = 757*n - 757*n + 15*n**2. Determine b(f(m)).\nAnswer: 960*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 6*n - 8. Calculate w(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of p**3\/6 + 10*p - 15. Let w(n) be the first derivative of s(n). Let u(o) = -12*o. Give u(w(b)).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*sqrt(192) + (sqrt(192) - (sqrt(192) + 1*sqrt(192)*4)))**2 + 4 + 4*(sqrt(363)\/sqrt(176))\/(-1*sqrt(44)).\nAnswer: -sqrt(3)\/2 + 19204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*f + 8*f = -24*f + 12*f - 840 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 111768*r**4 - 2*r + 35086.\nAnswer: 1341216*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x + 2. Let i(r) = -9 + 3*r**2 + 13*r + 4*r**2 - 8*r**2. Let b(d) = -4*i(d) - 18*y(d). Suppose b(o) = 0. What is o?\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(1088))**2 - sqrt(1088)) + (-2*sqrt(425) + sqrt(425))**2.\nAnswer: 24*sqrt(17) + 1517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*l = -805 + 2568 for l.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1004413740 rounded to the nearest one hundred thousand?\nAnswer: -1004400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3664701\/314 + -11671. Is b >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -2\/13 (b) 471 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s - 2 - 5*s**3 - 3*s**4 + 1185*s**2 - 1185*s**2 to the form f*s + q*s**4 + o + n*s**3 + y*s**2 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 9:56 AM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27748 - -27755. Calculate the remainder when 1859 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one tenth of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + n - 1 - 2, -5*o - 15 = 5*n. Sort -9, -1, o in ascending order.\nAnswer: -9, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**2 + 4*z - 2. Let g be s(2). Let i be 7*((-13)\/(-35) - 11\/(-55)). Sort i, 3, g.\nAnswer: g, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 909\/826 + 5\/118. Are a and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*w - 6279 = -236*w for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*m**2*s**3*u - m**2*s**3 + m**2*s*u + 1733*m**2*s + 7*s*u**2 wrt u?\nAnswer: -6*m**2*s**3 + m**2*s + 14*s*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2139 is divided by 119.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1832194 or 1832156?\nAnswer: 1832194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -4*z**2 - 36*z + 1. Let g be b(-9). Is g less than 3\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 438, 0.5, 1, -0.1, -8344, 14.\nAnswer: -8344, -0.1, 0.5, 1, 14, 438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 6*t**3 + 2*t**2 - 6*t - 4. Let z(n) = -6*n**3 - 2*n**2 + 6*n + 5. Let q(c) = -3*a(c) - 2*z(c). Let q(i) = 0. Calculate i.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 350\/75*(-72)\/(-560).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 3*y + 42 = 0. Suppose y = w - 0*w. Let s = -1 - w. What is the biggest value in s, 0.2, 2\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 5*y + 4*y)*(-y**2 + 2*y**2 + 0*y**2) + y**3 - y**3 - 3*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.04 or -136841?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + f - 5*l = 8, 4*l + 5 = -f. Let t = 1 + f. Let k(m) = -m**3 + 8*m**2 + 2*m + 8. Let q be k(t). What is the greatest common factor of 60 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1858 + -1857.8. Sort 2, i, 1, 2\/9 in ascending order.\nAnswer: i, 2\/9, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 31*a**2 - 5. Let z(q) = 15*q**2 - 2. Let n be 136\/102 + -7 + (-1 - 10\/(-6)). Calculate n*z(u) + 2*j(u).\nAnswer: -13*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 7*a - 4082, 3*i - 4070 = 115*a - 114*a. Calculate the lowest common multiple of 1356 and i.\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (-1386)\/(-171) - (-39)\/(-171))\/((-8)\/152)?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 - -68. Suppose -3*l = 4*x - 0*x - 3, -4*l + 4 = 4*x. Suppose -m + 77 = -0*f + 2*f, -m = l. Calculate the greatest common divisor of f and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1991050482?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10120, 10126, 10130, 10132, 10132, 10130, 10126?\nAnswer: 10120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -29*c - 341. What is o(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.06 (b) -6.2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 - 0. Suppose 5*w = w + m. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -794*w - 78. Let l(i) = 2*i - 5. Let u(x) = 6*l(x) - y(x). Let z be u(-8). Round z to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 390917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 2*r. Suppose r = -p - 3*p + 4. Let k be 3\/6*(3 - p). Which is smaller: k or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*f - 39 + 4 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6602 is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/8 - 5226\/24. Let a = f + 363. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -68 + 6?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 1 - 18 = -3*w, -16 = 4*g - 3*w for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a micrometer in nanometers?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 270, 286, 320, 378, 466, 590, 756, 970?\nAnswer: 1238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2*q + 442 = 0, q + q = -8. What is the highest common divisor of p and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 392 + -372. Let h = 5 - 3. Find t, given that -3*t + 9*t**h - 24*t + 7 + a - t**3 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4900320 and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12 + 7034471?\nAnswer: 7034458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-15 - (-138)\/26)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85627512151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 24*c + 153. What is v(-8)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (((-270)\/9)\/(-10)*29\/(-9))\/(135\/405)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 21*h + 24. Calculate the remainder when i(-17) is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*p + 132*p = -21. Which is smaller: -0.87 or p?\nAnswer: -0.87","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1351.3 + -728.2. What is b rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -44444*g**4 - 63776 with respect to g.\nAnswer: -177776*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 47231988 to the power of 1\/3, to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -100 + 294. Let l(v) = 23*v**2 + 4*v + 2. Let p be l(-2). Suppose -10*g = -o - p. Is g a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 26, -0.33, -1, 1, 2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -13. Suppose v - o = -2. Let z = 20 + -8. Calculate the highest common factor of z and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2043062 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhhhlhhhhhhlhhhh. What is prob of picking 2 l and 1 h?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13245, 13239, 13233, 13227, 13221?\n\"Answer: -6*o + 13251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*y - 2164 + 2120 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2185a + -31731?\nAnswer: -a982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11204855 to the nearest integer?\nAnswer: 3347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (5*-4*2*-2*sqrt(176)*-1 + 3)**2.\nAnswer: -1920*sqrt(11) + 1126406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 - -46. Is ((-1934)\/3 + g)*(-3)\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -15, -14, -11, -6, 1?\n\"Answer: l**2 - 2*l - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pepeeepeepepeepeppp. What is prob of picking 1 e and 3 p?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 - 8 - -2) + 6. What are the prime factors of ((-2674)\/42)\/((-2)\/d)?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1))**18*(c**(1\/4))**(-44))\/((c**7\/c)\/c**(-6))**(-27) assuming c is positive.\nAnswer: c**313","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, 3\/5, -12.36?\nAnswer: -12.36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hkhiieyj. What is prob of sequence ijk?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18368 and 864.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -20340034 (base 6) to base 4\nAnswer: -2033221312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 145*y**2 + 2*y - 73*y**2 - 77*y**2 + 11*y - 4 + y. Determine r(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -18285?\nAnswer: -1828a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-39 - -45) + (38 - -1). What is the highest common divisor of a and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 2033553651?\nAnswer: 2033553643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 9*l**2 - 35*l**2 - 36*l**2 + 21*l**2 + 56*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 23657, 23654, 23651?\n\"Answer: -3*v + 23660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 6*r**4 + 9*r**3 - 3*r**2 - 9*r - 6. Let z(x) = -x**4 - x**3 + x**2 + x + 1. Let l(m) = -s(m) - 3*z(m). Factor l(n).\nAnswer: -3*(n - 1)*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 70 - s + 23.\nAnswer: -s - 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 1\/5, -2\/25, 0.5 in ascending order.\nAnswer: -5, -2\/25, 1\/5, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 64 = -19*p + 17*p, 5*t - 2*p = 224. Is t greater than 50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -121 - -129. Calculate the greatest common divisor of g and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d + 2. Let b(t) = 3*t - 5. Let w(z) = -2*b(z) - 5*q(z). Let g(j) = 6*j. Give g(w(r)).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5 + 6 = 0, -4*h + 36 = 4*d. Let z(x) = -2*x - 13. Let i be z(-8). Suppose -38 = o - i*o. Calculate the remainder when o is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)*-1 - sqrt(10)\/sqrt(2)*-4) + -3*sqrt(15)\/(-2*sqrt(3)).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5\/7)\/(d\/d**1)*d**7*d*d*d**15)**(-23) assuming d is positive.\nAnswer: d**(-3749\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 4*w = -1694, 4*n - 5*w + 4*w - 1372 = 0. Does 18 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 20333*y**2. Let n(o) = 100*o**2. Give n(v(j)).\nAnswer: 41343088900*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*t + 98 = 58*t. Let o be (48\/t)\/((-68)\/(-238)). What is the highest common divisor of 28 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -7*n**3 - 3*n + 8. Let j(g) = -15*g**3 - 7*g + 17. Let p(f) = 6*j(f) - 13*u(f). Factor p(s).\nAnswer: (s - 2)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.02548 microseconds in minutes?\nAnswer: 0.000001333758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.4 - 4. Let t(h) = 7*h - 2. Let p be t(1). Suppose -2*z + p*l = 19, -5*l + 16 = -5*z + 2*z. Which is the third biggest value? (a) m (b) -0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57*m**4 + 1 - 1 + 46*m**4 + m + 2 + 2*m**3 to the form t + n*m**3 + u*m + w*m**2 + f*m**4 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/658 and -151\/42.\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 0*t = 4, x - 10 = 3*t. Suppose 2*k + x = 17. Let v = -7 + k. Let w(y) = -y**2 - y. Give w(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3195 and -0.162.\nAnswer: -0.4815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(1*(-3)\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/492)\/((-84)\/(-224))\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -965698.293 and 167.\nAnswer: -965531.293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -4) + (-6 - -12). Suppose 1 = -0*a - a, -a - z = 4*k. Put -5, k, 2 in decreasing order.\nAnswer: 2, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 8*o + 116 = 0, 5*o - 15*o = -5*f + 424 - 294 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3966, -6066, -8166, -10266?\n\"Answer: -2100*s - 1866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-475)\/(-3)*(10\/2 + -2). Suppose -7*g + n = 90. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + -2)\/((-2)\/3). Let m be (186\/45 - 4) + 1\/5. Which is smaller: m or z?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-4 - (-11 - -6) - -6) - 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -79.79 - -112.79. Which is the closest to 1? (a) j (b) 1\/5 (c) -3\/5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 366061639\/15980616610 + -2\/3697505. What is the common denominator of -61\/8 and w?\nAnswer: 17288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 + -0.4. Let k = -2 - -1. Let j = 0.368946 - -0.131054. Which is the closest to y? (a) k (b) j (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*c**2 - 41 - 41 + 164 - 39 - 44 - c as b*c**2 + k + i*c and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) + sqrt(612)*-2 + sqrt(17) + sqrt(17) - (sqrt(68) + 0)) + sqrt(51)\/(sqrt(12) - sqrt(3))*-1)**2.\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11665 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 4*g + g)*(-3*g + 5*g - 3*g)*(6*g**2 - g**2 - 3*g**2)*(30837 + 1060 + 1649 - 4348).\nAnswer: -116792*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 84540421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + d)*((-3 - 8 + 0)*(-3 + 7 - 3) - 63 + 30 - 13 + 1 + 3 - 2 + (-3 + 1 + 3)*(3 + 1 - 2)).\nAnswer: -53*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-25)\/15 - 28\/(-6).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0 = -x + 9, 0 = -4*i - 12. Suppose -216 - 2664 = -x*w. Is w a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4*w + 49 = 0, 0 = 5*b - 3*w - 0*w + 72. Which is smaller: b or -14?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccr when three letters picked without replacement from {c: 2, d: 7, r: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -102942*g + 142330*g - 64548*g in the form p + a*g and give a.\nAnswer: -25160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = t - 5*t. Let c(y) = -y**2 - 6*y + 42. Let r be c(t). What is i in -8\/7*i + 2\/7*i**r + 8\/7 = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -146, -245, -334, -407, -458, -481, -470, -419?\n\"Answer: v**3 - v**2 - 103*v - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.13 (b) -7.61 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 6.91. Let f = c - -0.09. Let w = f + 1.0035. What is w rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5.650898 years?\nAnswer: 0.005650898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-343 - -351) + (-21 - 1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-2 + 1)*2. Suppose h*v + 46 = 3*m, -2*m + 4*m = 4*v + 32. Calculate the smallest common multiple of 14 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8425945441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3 - r + 3 + 3. Let y be w(4). Do y and -1 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 968\/3 = 322?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 (base 3) in base 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 6) in base 5?\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 18, -340 in decreasing order.\nAnswer: 18, 0, -3, -340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*t + 30*t + 26581*t**2 - 27899*t**2 - 15*t.\nAnswer: -1318*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.831992 years to centuries.\nAnswer: 0.06831992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 331998\/4 - 3\/(-6). Round x to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -237779*y + 284173.\nAnswer: -237779","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*c - 4. Let w(n) = -12*n - 6. What is the units digit of w(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3313 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21996?\nAnswer: 2, 3, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -13.8, -0.4, 2\/5, 2\/7, 2, 5\/23 in increasing order.\nAnswer: -13.8, -0.4, 5\/23, 2\/7, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6340 + 866 = -238*l for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 62 (base 12) to base 16\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 750 is divided by 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 3*f - 9 = 0. Let a(t) = 2*t**2 + 2*t - 4. Let q be a(f). Solve q = -0*c + 5*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(200) + sqrt(200))\/(sqrt(20)\/sqrt(50)) + -3.\nAnswer: -10*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 78 - 58 = -2*n, 2*x = -5*n + 349. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 4:28 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from afffats. Give prob of sequence sfat.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 y when three letters picked without replacement from kyxkxkfxxyk.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -503 divided by 150\nAnswer: -503\/150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 13*q**2 - 7*q + 5. Let r be 1*4 - (4 + -2). Let a be r + (3 - 8) + 15 - -2. What is the hundreds digit of t(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2030286 is divided by 172?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -165 + 164. Let a(k) = -221*k**3 - 2*k - 1. What is the units digit of a(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61140707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 44?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -247\/420 + -1\/84. What is the closest to n in -0.3, 0.5, 5, -2\/13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 9 = 5*h. Let w(z) = 2*z**2 - z + 2 + 2*z**2 + 5*z + z**h. Let v be w(-2). Solve -4*d = -3*d + v for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 - -1062137?\nAnswer: 1062309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-2))\/(6\/4). Suppose -2*u = -z - 9. Suppose g = 5*v - 167, v - 4*v + u*g + 109 = 0. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11166 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 8 = -0. Suppose -5*o + 19 - d = 0. Solve 3*x = -2*v - 8, -2*v - 5*x - 10 = o*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22\/7*t**2 + 2\/7*t**3 - 344\/7*t + 320\/7.\nAnswer: 2*(t - 8)*(t - 1)*(t + 20)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 703 at least as big as 23.93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -218, -442, -666, -890, -1114?\n\"Answer: -224*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - w = 2*w - 6, -19 = 5*x - 2*w. Let r = 1244\/9 - 138. Suppose -5*y - 50 = 5*b - 0*b, -3*b + 5*y - 6 = 0. What is the biggest value in x, r, b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*u - 4 + 48. Suppose -148 = 4*r + 5*y, u*y - 142 = -0*r + 3*r. Sort -2, 0.2, r in increasing order.\nAnswer: r, -2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 19*v**2 + 15*v - 44. Let y be t(-18). Solve 0 = 3*s + 3*a - 2 - y, -5*a + 17 = 4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 590, 2010, 4396, 7748, 12066?\n\"Answer: 483*j**2 - 29*j + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 45\/8 of a day?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48273855 and 735.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 + 760*j - 765.\nAnswer: 5*(j - 1)*(j + 153)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2 + (((4*sqrt(720) - sqrt(720) - sqrt(720)) + sqrt(720))*-3*6)**2.\nAnswer: 2099521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -12769298.7 to the nearest ten thousand.\nAnswer: -12770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1304 is divided by (3\/2)\/(150\/3100) + -2.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2458 (b) 12 (c) 5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/3 + 112*s\/3 - 113\/3.\nAnswer: (s - 1)*(s + 113)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**3 + 49*y**2 + 627*y + 3. Let t(u) = -2*u**3 - 50*u**2 - 629*u - 4. Let s(j) = -4*i(j) - 3*t(j). Find the second derivative of s(d) wrt d.\nAnswer: -12*d - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/2*15\/45)\/(-3)*(-3)\/20.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/8)\/(c\/c**(21\/2)*c)*(c\/c**(-1\/29))**(3\/8))**(-31) assuming c is positive.\nAnswer: c**(-61225\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 264718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39494240?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -398 and 4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1591623 = 104*m - 5*m. What are the prime factors of m?\nAnswer: 3, 23, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -84 - -154. Suppose 0 = -r + 3*r - 4, 3*r = -2*x + 34. What is the greatest common factor of i and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38102294?\nAnswer: 2, 19051147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e (base 16) to base 8.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00011669197 rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -4*c**5 - 536*c**4 + 10944*c**3 = 0.\nAnswer: -152, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 76621097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (97\/97)\/((-2)\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t - 37. What is l(-19)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10581 is divided by 216?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48*f**3*k**2 - 6396*f**3*k - 21*f*k**2 - 2*f*k - 1201*k**2 + k wrt f.\nAnswer: -288*f*k**2 - 38376*f*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3*b - 2*b - 4)*(b + 1 - 1 + (-1 + 1 + b)*(-4 + 4 + 1) + b + b - 3*b - 3*b - 3*b + 7*b) as x + u*b**2 + m*b and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17055 = 53*g - 2661. Calculate the remainder when g is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -5*l**4 + 16*l**3 - 23*l**2 + 18*l - 6. Let v(k) = k**4 - k**3 - k + 1. Let p(i) = -f(i) - 2*v(i). Suppose p(z) = 0. Calculate z.\nAnswer: 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/7 (b) 1\/2 (c) -0.24 (d) 142 (e) -0.5 (f) 0.103\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**2 - 4*s**2 - 60 - 94*s + 97*s.\nAnswer: -8*s**2 + 3*s - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (2 - 0) + (0 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7590548 is divided by 31.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*x - 7. Let r = x - -5. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - h - 590, t - 5*h + 0*h = -118. Let s = -116 - t. Solve -2*i = s*y - 14, 3*y + i = 6*i - 3 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.3198 rounded to one decimal place?\nAnswer: -15.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(272)*-1*5)**2 - (-3*(0 + sqrt(272))*-6)**2)*-3*2 + 5.\nAnswer: -124027","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 757282057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 75000 to the nearest 1000.\nAnswer: 75000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.06136, 3\/4, 2\/15, 3, 0, 2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*j + i - 2, j + 2*i = -8. Suppose -j*t + k = -64, 5*t - 68 = 3*t - k. Calculate the least common multiple of t and 15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -95*w - 729 - 5826 for w.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ifioiffofioofi. Give prob of picking 1 o and 2 i.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2175957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 2:40 PM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a millennium in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -282 divided by -4?\nAnswer: 141\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 117 + -79. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41706436 or -41706473?\nAnswer: -41706473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 725, 5640, 18981, 44960, 87789, 151680?\n\"Answer: 702*q**3 + q**2 - 2*q + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**5\/7 - 4*l**4 - 3*l**3\/7 + 86*l**2\/7 - 8*l = 0 for l.\nAnswer: -2, 0, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + m - 5. Let c(j) = -10. Let x(g) = -2. Let a(n) = 4*c(n) - 18*x(n). Suppose -5*s = -2*t - 21, 0 = -4*t - 5*s + 1 + 2. Give t*a(v) + 2*z(v).\nAnswer: -2*v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3028 and -0.313759.\nAnswer: -3028.313759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (238\/4)\/(-7)*-2 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 15*l**2 + 75*l + 21. Let o be k(-19). Let t = 121\/3 - o. Factor t*g**2 - 1\/3 - 1\/3*g**3 + 1\/3*g.\nAnswer: -(g - 1)**2*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*k - 0*k. Sort k, 5, 0, 2 in ascending order.\nAnswer: k, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.7 + -1.7. Let x = -4.2 - -5. What is the third smallest value in x, -0.3, p, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 9:33 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 16*t + 1250. Let s be w(10). Calculate the highest common factor of 240 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -2*w - w + 23, -f - 3*w + 17 = 0. Is 31\/f*2\/(1 - 0) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rb when two letters picked without replacement from rbbrwvbbotrw?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b - 1b937?\nAnswer: -1b929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 89 - 77.2. Let i = p - 12.8. Let m(u) = -u. Let n be m(2). What is the second biggest value in 4, n, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006389044 to 4 decimal places.\nAnswer: 0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -4*o + 4614, 4107 = 5*w - o - 7439. What is the remainder when w is divided by 58?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-6)*k*k**(-2\/3) assuming k is positive.\nAnswer: k**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -175 and -6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q - q - 6 + 1. Suppose -5*s - 38 = 2*t, -5*t - 174 = -2*s - 166. Determine k(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*23\/483*-42?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**3*y*((y*y**(2\/5))\/y)\/y*y)**(2\/3)*(y*y**(-2))**(-2\/49)*((y\/y**(1\/3))\/y)\/(y\/y**(-2)) assuming y is positive.\nAnswer: y**(-88\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g + 220 = 25*g - 45*g for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 1. Suppose 0 = -0*j + j + 1. Suppose -2*m - 8 = -6*m. Let a(q) = 6*q - m*q - 3*q - 3 - q**3. Give j*a(s) - 3*f(s).\nAnswer: -2*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11052 + -33109\/3. What is the closest to b in -0.2, 1\/2, -0.5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w - 4*p - 5 = -12*w, 2*w + 25 = -3*p. Which is the second smallest value? (a) w (b) 7 (c) -22 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**3 - 28*r**2 + 1716*r + 21153. Determine l(-12).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2263 - 2258. Is i at most -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (-27 - (60 + (-16 - 1))).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*123.1.\nAnswer: -615.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -92160*s**4 + 25800*s**2 - 63360*s**3 - 17375\/6*s + 625\/6.\nAnswer: -5*(s + 1)*(48*s - 5)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3228841?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r**5*y**2 - 635766*r**5*y + r + 2120699*y**2 wrt r.\nAnswer: 20*r**3*y**2 - 12715320*r**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32737619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -93153, -93108, -93065, -93024, -92985?\n\"Answer: -a**2 + 48*a - 93200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 49*y**4 + 90*y**4 + 46*y**4 + (0*y - 2*y + y - 2*y**2)*(-2*y + 3*y**2 + 2*y).\nAnswer: 179*y**4 - 3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -0*q - 75. Let z be 3\/18*10\/q. Which is the third smallest value? (a) z (b) -3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -387.2971 from 38348392.\nAnswer: 38348779.2971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2229.311 + -2369.33. Let w = k + 3.319. Round w to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 1 = 2*t, 3*t + 0*t = -3. Find the second derivative of -2*i**2 + i**2 - 8*i + 9*i**c + i**2 wrt i.\nAnswer: 54*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + i + 2642 - 2658, -8 = 4*a - i. Suppose 3*k - 13 = 5. Let r(m) = -m**3 + 5*m**2 + 7*m - 4. Let j be r(k). Sort a, -9, j in decreasing order.\nAnswer: j, a, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/10 and 109\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/8, 73, 70?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 163\/1670 - -2\/835. Let h(b) be the first derivative of 9\/20*b**4 - 11\/25*b**5 - 1\/15*b**3 + 2\/15*b**6 - c*b**2 + 0*b - 6. Determine u so that h(u) = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-4*(12\/(-16))\/(-3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 50443357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 + 8*r**3 - r**3)*(443*r + 164*r - 886*r).\nAnswer: -1395*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1544*c - 26 = -5*u + 1542*c, c + 13 = 4*u. Sort u, -5, -1, 2, 14 in descending order.\nAnswer: 14, u, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/69*16\/1180 and -56\/3.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 477 = -485*z + 1447. Suppose 0 - o - 1\/2*o**z + o**3 + 1\/2*o**4 = 0. What is o?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.02 - -2.98. Let m = -8 + s. What is the smallest value in 3, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 195264123 to the nearest integer?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 609*h + 184. Let i be w(15). Suppose 0 = -16*u + 10809 + i. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1558, 1560, 1564, 1570, 1578, 1588?\nAnswer: 1600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 6*v**2 - 16*v - 9. What is the hundreds digit of f(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 24247825, 48495617, 72743409?\n\"Answer: 24247792*b + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 10:26 PM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and -122.965?\nAnswer: 124.965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -21*r. Let n(t) = 7*t - 5. Let i(s) be the first derivative of -3*s**2\/2 + 2*s - 20. Let u(z) = -5*i(z) - 2*n(z). Calculate o(u(f)).\nAnswer: -21*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/10 or -1119409?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 144 and 80.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 11*t + 322. What is n(0)?\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16 and -5.9915?\nAnswer: -95.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -789*n - 846*n + 2216 - 714 = -18118 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j - 9. Let u(k) = -5*k + 2. Let p = 3 + 2. Let d(s) = -4*s + 1. Let c(t) = p*u(t) - 6*d(t). Determine 5*c(q) + 2*r(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11798406 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1247.045656 to one dp.\nAnswer: -1247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 797 a factor of 597072860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 897 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 + 126. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 918144.5 decades in years?\nAnswer: 9181445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 728 divided by -364.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5406003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 + 19 + 83*k**3 + 1387*k**3 - 50.\nAnswer: 1470*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1976 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66649 and 901131?\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(36\/8)*(-234552)\/(-16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.1 minus 444?\nAnswer: -454.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9 + 6)\/(9\/(-30)). Let n(w) = 23*w + 4 - r*w - 12*w. Suppose 6 = -3*u + u. Calculate n(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 0 + 0)*(13 - 35 - 52)*(1 + 1 - 3).\nAnswer: -148*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -10) + -67 - (-201 - -225).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -26*p**2 + 3*p**2 + 7*p**2. Let n(j) = -5*j. What is x(n(t))?\nAnswer: -400*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21.9104*-0.5.\nAnswer: -10.9552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - (-2 + -3)) + 1. Suppose -d*z + 111 + 25 = 3*p, 5*z - 4*p = 170. List the prime factors of z.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u\/u**0))**(-5\/3)\/((u**(7\/6)\/u)\/u*u\/u**9))**(-15\/4))**(8\/5) assuming u is positive.\nAnswer: u**(-63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + o = 35, -3*g + 25 = 3*o - 8. Let f(y) = 8000*y. Let l be f(5). Suppose -d = -g*d + l. Round d to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - 24.3. Let d = 0 + -0.5. Put o, 5, d in descending order.\nAnswer: 5, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43547*y**2 - 167*y + 25802087 wrt y.\nAnswer: 87094*y - 167","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20596032?\nAnswer: 2, 3, 29, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 388925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) + -1)*-6 - (sqrt(200) - (-1 + 0 + sqrt(200) + sqrt(200))) - ((sqrt(200) - sqrt(200)*-2) + 0 + sqrt(200) - (1*sqrt(200) + -1)))**2.\nAnswer: -640*sqrt(2) + 12816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-21)\/6 + 4)*14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-42 + 98 + 75 + 65)*(k**4 - 3*k**4 - k**4) to u + s*k**4 + r*k**2 + w*k + j*k**3 and give s.\nAnswer: -588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*t + 2*q, 27 = 3*t + 3*q - 0*q. Let z(u) = u - 5. Determine z(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3 + 17*f**2 + 119*f - 56*f - 61*f. Let w(g) = 9*g**2 + g + 2. Calculate 3*b(u) - 5*w(u).\nAnswer: 6*u**2 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, y: 1, j: 2, g: 3}. What is prob of picking 1 j and 1 y?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -718609763 divided by 14761\nAnswer: -48683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11038 - -2?\nAnswer: -11036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of 4*y**4\/3 + 616*y. Let b(p) = -38*p. Give g(b(n)).\nAnswer: 23104*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 175238224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 775462 minus 5?\nAnswer: 775457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*(-2)\/4*-2. Suppose -4*l - 2*g = -94 - 450, c*l + 5*g - 408 = 0. Calculate the remainder when l is divided by (-90)\/9*((-252)\/(-8))\/(-9).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 + -5?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -141 - -256. Suppose 0 = 5*d - 3*l - 137, l - g = -4*d - 2*l. Is d a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of m**4\/6 - 9*m**2\/2 - 23*m. Differentiate y(j) wrt j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g*g*(((g\/g**2)\/g)\/g)\/g*g)\/g*g)**(-16\/9)\/(g**(-9)*g**(3\/4)) assuming g is positive.\nAnswer: g**(33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/13333 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 85*s - 142. Is t(47) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1888, 3790, 5692, 7594, 9496?\n\"Answer: 1902*n - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16\/1021 in -32, -1\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2660, -10633, -23924, -42533, -66460, -95705, -130268?\n\"Answer: -2659*w**2 + 4*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-3)*(-2)\/((-20)\/45)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41620100 (base 7) to base 5.\nAnswer: 1400030024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -954a044 + -2?\nAnswer: -954a046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(sqrt(9)*-1) - (sqrt(30)\/(sqrt(60)\/sqrt(6)) + sqrt(3)).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 854.\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -135.2 and 0.49?\nAnswer: -66.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 f when three letters picked without replacement from {f: 3, q: 2, r: 2, z: 4}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -96558, -193118, -289678?\n\"Answer: -96560*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.17 equal to -46.158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7715920 is divided by 1917.\nAnswer: 1912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 16*i. Let r(y) = 523*y**2. Calculate j(r(k)).\nAnswer: 8368*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 48065068931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fywckhk. What is prob of picking 1 f, 1 k, and 1 h?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/8*((-33984)\/1872)\/118*1\/(-52).\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 7*m + 10. Let g be k(-8). Let w = -19\/161 - 13145\/483. Let o = w + 28. Which is the smallest value? (a) o (b) 5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**2*o**3 + 5*l**2 - 722*l*o**2 + 408841575*o**4 - o - 17488 wrt o?\nAnswer: 12*l**2 + 9812197800*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 704820.9 millilitres?\nAnswer: 704.8209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/6)\/(5\/30). Let h(f) = f**3 - f + 1. Let b(j) = -14*j**3 + 4*j + 2. Let g(r) = n*h(r) - b(r). Find the second derivative of g(w) wrt w.\nAnswer: 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 5*k + 4. Let x be y(4). Suppose 4*u - 4*v = 24, -4*u + 5*v = -0*v - 28. Sort x, u, 3.\nAnswer: x, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/(-16))\/((-13)\/52). Suppose 113 = 2*v + c*q, 28 = v + 3*q - 21. Is 61 at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 97, 418, 953, 1702, 2665?\n\"Answer: 107*t**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4068*j + 2923 - 590 + 1735 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*f + 89*f + 48 = 0. Let m = f - -16. Suppose -350 = 2*v - m*v. Round v to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11\/57? (a) 9\/4 (b) 3 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3 = 9. Suppose -15 = -b + f*b. Calculate the common denominator of -9\/4 and (b\/(-30))\/((-1)\/83).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kfoooye. Give prob of picking 1 k and 1 e.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 6970*f - 27915. Calculate b(4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 10:31 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 704 - 1411614?\nAnswer: -1410810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -3*y - 150, 3*f - 145 = -0*y + 2*y. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n**2 + 10*n**2 + 7 - 7.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/3 - (-21)\/(-9). Let j be (15\/10)\/(h\/(-2)). Let a be ((5 - 0)*1)\/j. Solve -3*v + a*p = -7*v - 15, 5*v + 2*p = -6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15082 is divided by 958?\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**16*s**(3\/4) assuming s is positive.\nAnswer: s**(67\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12049 is divided by 1472.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(480)*3 - sqrt(30))\/(sqrt(3) + sqrt(3) + sqrt(75) + -1*sqrt(75)))\/(sqrt(6480)*1*-6).\nAnswer: -11*sqrt(2)\/432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.001 (b) -2\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -61 * 7.\nAnswer: -427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-4))\/((-11)\/44). Suppose -37 = -k*i + l, 5*l - 19 = -i - i. Factor -6 - 19*s - i - s - 2 - 5*s**2.\nAnswer: -5*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 5*t - 18. Let m be r(9). Let v be 1443\/m + (-3)\/18. Find the common denominator of 1900\/v*(-6)\/10 and 51\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 255318, 510639, 765960, 1021281, 1276602?\nAnswer: 1531923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/(-7))\/(22\/77). Let t(i) = -y*i**2 - 33*i**3 + 8*i - 2*i + 5 + 43*i**3. Is t(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**2\/13 - 2\/13 = 0. What is l?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -4*p**2. Let k(a) = -5*a**2 - 8. Let s(i) = i**2 + 7. Let b(v) = -3*k(v) - 8*s(v). Calculate d(b(q)).\nAnswer: -196*q**4 + 1792*q**2 - 4096","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -184.201 to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 2*p**2 - 11*p + 16. Let i be m(4). What is the remainder when (-18)\/12 + i\/((-24)\/(-489)) is divided by 35?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 726980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22307382 and 1745.\nAnswer: 111536910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**2 - 30*r**2 - 158*r - 14*r**2 + 155*r.\nAnswer: -40*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 20. Let k be 57 - ((-24)\/c - (-16)\/(-104)). Let u = 61 - k. Solve u*q = -q + 4*n + 20, -2*q - 15 = 3*n for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 16*w**2 - 8*w**2 + 4 - 7*w + 33*w**2. Calculate the remainder when p(8) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3 = -3. Let l(k) = -13*k - 7. Let a(q) = 7*q + 4. Give f*l(r) - 11*a(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/6 - 11\/33. Which is smaller: -9\/4 or w?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*m + 9 = -11. Which is the nearest to m? (a) 1\/2 (b) 32 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -753789 - -166588329\/221. Let d = -58\/13 + c. Let k = 2 - 1. Which is smaller: k or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6, -1, -10, 2.\nAnswer: -10, -6, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 8:18 PM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 45 = 1. Let m = -65 + 98. Calculate the highest common factor of m and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1212 + 0.1212. Let n(v) = 2*v**2 + 2*v - 2. Suppose 2*t = -t - 12. Let p be n(t). Which is the smallest value? (a) d (b) -0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 86\/63 and -48\/259?\nAnswer: 2331","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - 72*2 - (8 + -7). What is the fourth biggest value in f, -1\/4, -1\/5, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -32*s**4 + s**3 - 80*s - 344859?\nAnswer: -128*s**3 + 3*s**2 - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 - (2 + -5 + 0 - (-129 + 96 - -35))?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jzl when three letters picked without replacement from vzzvizjzizlvvpj.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -205 in increasing order.\nAnswer: -205, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/6 + p**2\/6 + p.\nAnswer: -p*(p - 3)*(p + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -3, -5, -431 in descending order.\nAnswer: 3, 1, -3, -5, -431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 746 divide 33042515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*f + 35*f - 15*f + 8*f**5 + (2*f**3 - 3*f**3 - f**3)*(-4*f**2 + 4*f**2 - 2*f**2).\nAnswer: 12*f**5 + 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.399498328 rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1342\/5 + -268. Let l = 4.26 + 1.44. Let y = -6 + l. Which is the third smallest value? (a) h (b) y (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 3*s + 22 - 74 + 19 + 16.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/48, -2\/7, -3, 5, 4, -52, -2 in ascending order.\nAnswer: -52, -3, -2, -2\/7, 1\/48, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1148*f + 172*f + 4984 = -80*f - 1092*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - g + 1. Let u(z) = 9*z**2 - 3*z - 10. Let x(j) = -5*m(j) + u(j). What is the remainder when x(-4) is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 3*q**2 + 4*q - 4. Let h be f(4). Let d be (1 - 25)*94\/h. Let v be d\/(-14) + (-14)\/(-49). Round v to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 9) to base 2\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 126 in descending order.\nAnswer: 126, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -2\/25, 1, -2, -66?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4294 - 3126. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -3*j + 2, 14 - 22 = 4*j for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/6*((-7524)\/(-165))\/19.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 16398.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 128701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1372375 + 1.249\nAnswer: -1372373.751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20932892293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o*o\/(o\/(o\/o**(-22\/9))*o)*o*o)\/(o\/o**9))**(-6) assuming o is positive.\nAnswer: o**(-278\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 81 (base 10) to base 4\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 21, -1\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 21 + 45 = 0. Suppose y*w - 7*w = 3*a - 6, -2*w + 3*a = 0. Let l(z) = -z**3 + 5*z**2 + 7*z + 4. Determine l(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 363 - 368. Sort l, 15, -1\/2 in increasing order.\nAnswer: l, -1\/2, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + (-35)\/(-12))*7\/(350\/(-20)).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 36 * 0.36\nAnswer: 12.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 221793309 and 44145.\nAnswer: 8829","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/5 + 12\/(-30). Which is the nearest to 1\/2? (a) n (b) -0.2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h**3 + 27*h**3 + 24 - 17*h**3.\nAnswer: 2*h**3 + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-8) - 2810\/(-8). Let i(s) = -29*s + 8. Let y be i(0). Let q be (-1 + 27)*12\/y. What is the highest common factor of q and v?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 4:41 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.8 - -0.5. Suppose -f = -5*a - 12, -3*f + 4*a + 12 = -f. Let z = 36.7 - 36.8. What is the nearest to z in -3\/5, f, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 32063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/5 (b) -5\/2 (c) -41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(85) - (-4*(sqrt(85)*-1 - sqrt(85)) + sqrt(85))))\/(sqrt(245)*-3*5).\nAnswer: -16*sqrt(17)\/105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.2, -12, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -241, -958, -2151, -3820, -5965, -8586, -11683?\nAnswer: -15256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8503\/36 - -1345\/9. Let v = -3421\/40 - m. What is the common denominator of v and -81\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 5*o - 5. Let b be d(-5). Let w(h) = h**3 + 5*h**2 - h - 2. Let z be w(b). Suppose z*f - 3 = 2*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/6 and 8\/1365.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*c = -11, -2*x + 5*c - 10*c = -19. Let z(m) = m**3 + 8*m**2 + 2*m - 9. Let w be z(-7). Let o be (-13)\/w - (-7)\/x. Solve -4*p + o = -p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -0*a - 354. Calculate the remainder when 59 is divided by 1\/4 + a\/(-12).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -2*q**7\/105 - 3*q**6\/20 - 2*q**5\/5 - 5*q**4\/12 - q**2 - 85*q. Solve z(l) = 0.\nAnswer: -5\/2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of p**6\/60 + p**5\/30 - p**4\/6 + p**3\/6 + 76*p**2 - 18*p. Let k(b) = 2*b**3 + 3*b**2 - 3*b + 1. Determine -2*k(d) + 3*x(d).\nAnswer: 2*d**3 - 6*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/15945 + 217907\/127560. Calculate the common denominator of 143\/180 and z.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -78, -159, -230, -285, -318, -323, -294, -225?\n\"Answer: v**3 - v**2 - 85*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4575891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -24, 5 in descending order.\nAnswer: 5, 1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -91*d - 458*d + 0 - d**3 - 213*d + 3 + 2*d**2 in the form m*d**2 + c*d + t*d**3 + i and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-2 + sqrt(396))*6 + 1 + -6*(sqrt(396)*-2 + -2))**2.\nAnswer: 216*sqrt(11) + 128301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/616 and 15\/11.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**5 + h**2 + h - 1. Let l(r) = 17*r**5 - 6*r**2 - 22*r + 6. Let m(u) = 6*j(u) + l(u). What is the second derivative of m(g) wrt g?\nAnswer: 220*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 48962 - -11?\nAnswer: 48973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 442.93 - 446. Let c = x - -0.07. Let y = 14 - 8. What is the third smallest value in y, -4, c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.97252 + 0.02748. What is the closest to -2\/7 in 5, -0.4, c, 2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8, -7, -38, -91, -172, -287?\n\"Answer: -d**3 - 2*d**2 - 2*d + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7313533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1073993 to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s**2 - 13345540*s + 8905171894580 = 0. Calculate s.\nAnswer: 1334554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 5*f**2 + 31*f + 88. Give w(-13).\nAnswer: 530","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 2*k - 820 = -399 - 487, -2*k + 4*k - 66 = -9*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1814 - -1.4?\nAnswer: 1815.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-3)*(-8)\/4*2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7697 a factor of 95844416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 79*u - 32. Let g(k) = 58*k - 21. Let i(c) = 7*g(c) - 5*o(c). Give i(-4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**3\/7 + 3814*g**2\/7 + 22853*g\/7 + 2720 = 0. What is g?\nAnswer: -3808, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*l**4 - 37*l + 37*l - 313*l**4 + (-l - 3*l + l)*(-2*l - 2*l**3 + 2*l).\nAnswer: -278*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3951 + 2416. Let w be r\/(-2) + (-1)\/2. Let v be (w - -1)*25\/3. What is v rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -146768523 + 146768305.999734. Let f = o + 217. What is f rounded to 5 dps?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146869428 to the power of 1\/2, to the nearest integer?\nAnswer: 12119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 480 is divided by 161.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 169936042819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Let h be -21*(1 - (-12)\/(-9)). Suppose 5*b + 2*k - 399 = 0, -3*k + h*k = 3*b - 255. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -82295 + 2b5?\nAnswer: -81cb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64 and 4348864?\nAnswer: 4348864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -q**7\/84 + q**6\/4 + 39*q**5\/8 + 485*q**4\/24 + 75*q**3\/2 + 36*q**2 + 3235*q. Suppose s(y) = 0. What is y?\nAnswer: -6, -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -2*b**4 + 2*b**3 + b**2\/2 + 257. Let a(f) = -9*f**3 + 7*f**2 + f. Calculate 4*a(x) - 5*q(x).\nAnswer: 4*x**3 - 2*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 3.6. Let n be ((-6)\/(-18))\/((-44)\/(-1452)). Which is the third biggest value? (a) n (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2. Let y(p) be the second derivative of p**3\/2 - 19*p**2 + 2*p + 15. Give y(f(q)).\nAnswer: -3*q**2 - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.567433 nanograms in kilograms?\nAnswer: 0.000000000005567433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -712807 (base 9) in base 15?\nAnswer: -85097","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -74 + 222 - -11 - 102?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/3*18\/(-21). Suppose 5*r + 6*f - f + 5 = 0, 16 = -z*f. Let m(s) = 2*s. Let h be m(1). Solve 0 = -r*d + h - 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 = -a - 3*a - 83*l + 82*l, -32*a + 2*l - 762 = 2*a + 7*l for a.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -123123323 - -31?\nAnswer: -123123242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 595?\nAnswer: -1\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*b**2 + 297*b**2 + 0*b - 144*b**2 + 0*b.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1da (base 16) in base 11?\nAnswer: -3a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1166 = 3*x + 7*a - 5*a, -x + 2*a + 402 = 0. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211948057 a multiple of 1191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k**(1\/2)*k*k))\/k)\/k*k**(5\/3))\/(k**1*k**(1\/4)\/k)*((k**0)**(-46))**(-41) assuming k is positive.\nAnswer: k**(-25\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 673389307?\nAnswer: 37, 18199711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1619 and 362762854.\nAnswer: 1619","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/32036605 and 25\/3502?\nAnswer: 1089244570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1577*k**4 - 8*k**3 - 67*k - 24?\nAnswer: 18924*k**2 - 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*u**2 + 1541205*u - 6519698 wrt u.\nAnswer: 4*u + 1541205","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 24, 73, 150, 255, 388, 549?\n\"Answer: 14*p**2 + 7*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -7\/15001789?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3 - 105*x**2 + 1080*x - 2320.\nAnswer: -5*(x - 4)**2*(x + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 254312501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1029510, 1029520, 1029532, 1029546, 1029562, 1029580, 1029600?\nAnswer: 1029622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2134487485.\nAnswer: 5, 13, 31, 1059299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 5. Suppose 1 = i - 1. What is the highest common factor of i and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 2193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2127*b = 2125*b + 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 8*g = 2*g - 0*g + 60 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22897948 a multiple of 682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -29*o**2. Let c(s) be the third derivative of -41*s**2 + 0*s + 2 + 0*s**3 - 1\/12*s**4. Calculate c(u(w)).\nAnswer: 58*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3822752.\nAnswer: 2, 67, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -163 - -165. Suppose -j - 2*u + 1873 = -272, -10773 = -5*j + t*u. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/2 (b) 141 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 - 68 - (-40 - -21).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(1872) + (sqrt(1872) + sqrt(1872)*-1 - sqrt(1872)))**2 - 4*-4*sqrt(1872))*3.\nAnswer: 12 + 576*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and 83699871634363?\nAnswer: 83699871634368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + 4?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -48794*n**3 - 3*n**2 - 7*n - 4669717?\nAnswer: -146382*n**2 - 6*n - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Is 438809141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/45*6\/(-20). Which is smaller: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**3 + 11*s**2 + 15*s - 21. Give n(6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (884\/(-3))\/((-2)\/6*1). Suppose 3*o - 1249 = j. Is 79 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 - k - 24. Let g be w(-5). Suppose g*l + 4*l = 9240. What are the prime factors of l?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*v + 44*v + 458 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25.3 in 2, -4\/27, -11.4, 2\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrra when four letters picked without replacement from arrraaarrrra.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2. Let q(a) = -3 + 3 + a**2 + 0*a**2. Let p(v) = -4*g(v) - 3*q(v). Let x(c) be the second derivative of -c**4\/6 - c. Calculate p(x(m)).\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(-10)\/s)\/s)\/s)\/(s**(-10)*s))\/(s*s**(-14)*s*s**(-2\/3)*s) assuming s is positive.\nAnswer: s**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1021010001 (base 3) to base 6.\nAnswer: 311044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one quarter of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9146 divided by 26\nAnswer: 4573\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36992 - -70686. List the prime factors of l.\nAnswer: 2, 17, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 p when two letters picked without replacement from xaxxfafxpjfaxxf?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 4 = 5*f, 3*f = -0*f - 3. Let z be 1*(-15)\/9*l. Suppose -z*o + 3*o = -44. What is the highest common divisor of o and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 470673.92 - -5\nAnswer: 470678.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -305f39 (base 16) in base 14?\nAnswer: -5c7401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 16*q + 19. Let u be s(-15). Solve -7 = -u*t + 5 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 - -18. Let c be 63 + (2 - g)*1. Let j = 116 - c. Calculate the remainder when 247 is divided by j.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 498*h = -811*h + 25*h + 50076 for h.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/10*50\/20?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -6. Let s = q - -35. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**3*f**2 - 3*d**3 - 4*d**2*f**2 - 304*d**2 - 41799*d*f**2 wrt d?\nAnswer: 6*d*f**2 - 18*d - 8*f**2 - 608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 443.4 - 62.9.\nAnswer: 380.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 17. Let h(r) = 6*r**2 - 6*r - 3. Let u(n) = -5*n**2 + 6*n + 3. Let w(s) = m*h(s) + 5*u(s). Calculate w(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 0 - 3*d + 4*d - 5 + 2. Let y be r(8). Suppose 4*u - 7 = -a + 4*a, y*a + 25 = 4*u. Put -5, a, -3 in descending order.\nAnswer: -3, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*k**2 - 422*k**2 + 142*k**2 + 143*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 127, 512, 1153, 2050?\nAnswer: 3203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 25 = -3*r. Let m = -51 - -76. Suppose 0*w + m = 5*w, -75 = -2*c - 5*w. Calculate the highest common factor of c and r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/((-8)\/(-1293))*24. Let h = -10958 - s. Let b = -24558 + h. Round b to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from beoebbebebmvbbemeb. What is prob of picking 1 b and 1 m?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5*x = 8*x + 101, -3*n - 2*x = -63. Suppose -n*p + 5 = -156. Solve -p*j - 2 - 5 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 127, 209, 333, 487, 659, 837?\n\"Answer: -2*c**3 + 33*c**2 - 3*c + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 878841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 4*a - 15. Let o = 0 - a. Calculate the remainder when 9 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326618069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 + -18. Suppose -3*y - 3 = l. Let n(a) = 3*a + 3. Let r(c) = 6*c + 6. Let p(t) = y*n(t) + 3*r(t). What is the derivative of p(f) wrt f?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*c - 1238 - 1474 = 88 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + (sqrt(19) + -1)*-2 + sqrt(38)\/((sqrt(20) + sqrt(80)\/sqrt(4))\/sqrt(10)))**2*-6.\nAnswer: 162*sqrt(19) + 1863\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -8*m - 8. Let w(o) = -23 - 93*o - 76*o + 146*o. Suppose -p = 3*x + 2*x - 87, -41 = -3*x + 5*p. Calculate x*t(i) - 6*w(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*k**5 + 23090*k**4 + 5970760*k**3 + 277538000*k**2 - 3532622000*k + 1368260000 = 0.\nAnswer: -430, -74, 2\/5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - 17 - (0 + -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.3 + -10.3. Let k = 1.248 + -1.03. Let o = 0.318 - k. What is the second biggest value in -5, i, -0.4, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 3321213?\nAnswer: 3321203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/15*(-2 + 5). Is (-166083)\/58*2\/(-6)*o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -963633*b + 5740 = -963551*b for b.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 + 19. Which is the closest to -0.1? (a) 5 (b) 4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17006884 to the power of 1\/4, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -70006 + 70006. Let k = -3 - -8. Which is the closest to y? (a) k (b) 0 (c) -3\/8 (d) -2\/135\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-15) + 42\/5. Let w(v) = v**2 + 19*v - 70. Let s be w(-22). Let p = b - s. Is p at most as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = u - o - 15, -3*o = 4*u - 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -v + 2*v**4 - 6*v**2 - 5*v**2 - 12*v**2 + 21*v**2 - 11*v**3 + 1 as f*v**4 + l*v**2 + c*v + b + j*v**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 15*f**2 + 18*f + 2. Let b be m(-16). Let o = -24 - b. Let h = -3 + o. Solve h*k = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 801248 to the nearest integer?\nAnswer: 895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 804690 to the nearest ten thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c + 7. Let d be i(2). Solve -d*u = -5*h + 5, 3*u + 1 = -2*h - 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 8:58 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r + 5*t + 41, r + 3*t = 5*r + 1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -13169.329993201 and 0.\nAnswer: -13169.329993201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**(-10)))\/q*q)\/(q\/(q\/(q\/((q\/(q**(-2\/11)\/q))\/q)))) assuming q is positive.\nAnswer: q**(112\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 4 + 0)*(-8 + 2 + 0)*(16*f - 20*f - 24*f)*(9*f + 5*f - 7*f) in the form k + y*f**2 + j*f and give y.\nAnswer: 1176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -36130, -36141, -36166, -36211, -36282?\n\"Answer: -u**3 - u**2 - u - 36127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 93420 + -93419.6. Let q = 2.8 - -0.2. What is the closest to 0.3 in t, 7, q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -875*b. Let q(p) = p**2 + 36. Calculate z(q(n)).\nAnswer: -875*n**2 - 31500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -5. Let k(v) = v**3 + v**2 + 4*v + 0*v**2 + 1 - 2*v**3. Give k(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 5. Suppose o - 5*d - 20 = 0, -4*o + 8 = d - 3*d. Suppose o = 2*s - 0*s - 4. Solve -1 = -s*j + 4*w - 7, m*w - 3 = 3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198194461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, -6\/2525, -3, 3\/2?\nAnswer: -6\/2525","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32837613859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6291 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*q = -10*q + 16*q - 24*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2016 + 454?\nAnswer: 246a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*q**2 - 1)*(3*q - 2*q + q) + q**3 + 2*q - 2*q + 2*q**3 - 2*q**3 - q**3 + (2*q - q**3 - 2*q)*(-5 + 3 + 3) + (-2 - 3 + 4)*(q**3 - q**3 + 2*q**3).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.03 + 1.03. Let r = -40 - -93. Let d = -53.2 + r. Put f, 4, d in descending order.\nAnswer: 4, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17758262 to the power of 1\/4, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r + 12. Let i(f) = f**2 - 6*f - 9. Let y(q) = -2*q**3 - 3*q**2 - 3*q - 2. Let d be y(-2). Let o be i(d). List the prime factors of h(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by (-16)\/(-6)*165\/44?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**4 + d**3 - d**3 + (2*d**2 - 2*d**2 - d**2)*(-1 + 1 + 2*d**2) + (-2 + d + 2)*(2 - 2 - 2*d**3) - 18*d**4 - 332 + 332 - d**4 - 2*d + 2*d.\nAnswer: -24*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*d - 14499 = -3*d, -r - 4832 = -2*d. Let n be -1*2\/(-9) + r\/(-18). Suppose 3*f - 3*z - n = z, -5*z + 141 = 2*f. Is 14 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of a**6\/75 - 8*a**5\/25 + 16*a**4\/5 - 256*a**3\/15 + 256*a**2\/5 + 30*a - 4. Factor n(p).\nAnswer: 2*(p - 4)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 835200 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -3. Let v = u + -2. Suppose -v*l - 4*o + 16 = 0, 0*l - 5*l + 28 = 4*o. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 259*u**6\/120 + 149*u**5\/60 + 197*u**2. What is the third derivative of t(r) wrt r?\nAnswer: 1554","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**3 + 11*x**2 + 83. Let h(c) = c**3 + 4*c**2 + 28. What is -8*h(y) + 3*l(y)?\nAnswer: y**3 + y**2 + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132211771?\nAnswer: 17, 587, 13249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.4 minus -127677.4?\nAnswer: 127726.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -123 + 32*n**3 - 191 - 30*n**3 + 28 - 5*n**3 to the form c + o*n**3 + i*n**2 + m*n and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q**2 + 3*q**2 + 0*q**2 + (2 - 13 + 5)*(5*q**2 - 4*q**2 + q**2))*(-3*q + q + 4*q) to h*q**3 + w*q**2 + s + v*q and give h.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -106 - (264336\/(-1824) - -39).\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)\/(sqrt(176)\/sqrt(11)))\/(-2*sqrt(1296)).\nAnswer: -sqrt(11)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44) + 1 + sqrt(44) + -2 - (sqrt(4400)*-3)**2.\nAnswer: -39601 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 13 = -2*l + 7, -62 = 3*z + 40*l - 44*l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6244 and 8668.\nAnswer: 13530748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3719*c = -439*c + 95661 - 166747 - 119154 for c.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -3*n + 3021, 2*a - a = -4*n + 4008. Suppose -5483 + n = -10*l. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a centimeter in micrometers?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 92 and 28?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 368917, 368908, 368899, 368890?\n\"Answer: -9*f + 368926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -24 - 51*l**2 - 3*l + 25 + 101*l**2 as m*l + f*l**2 + u and give f.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -1188 + 1188.0838. What is u rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 21887 divided by -509.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 + 34. Which is the nearest to k? (a) -0.2 (b) -5 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 23. Suppose 2*r + b*a - 16 = -a, -24 = -4*r - 2*a. Suppose -r*l + 28 = 2*l. Solve 0 = 5*p - l*p - 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from kkkkkkkkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4256 divided by -2?\nAnswer: -2128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -15, -10, -2\/5, -2\/7?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34375080 and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - 0 - (-4 + 4). Suppose -3*k + 7 + 0 = -2*m, c = 2*m - 8. Solve -i - k = -0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49384.92 millimeters in meters?\nAnswer: 49.38492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 809014608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1883645.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**3 + 2*s + 7. Let z(m) = -m**3 - m - 3. Let u(c) = 4*g(c) + 9*z(c). Let q(p) = 2*p**3 + 3*p - 3. Calculate -q(l) - 3*u(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11232343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -11 (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 794?\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 273*g**2 - 75*g**2 - 72*g**2 - 69*g**2 + 19*g**2 - 75*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13739861*q**4 - 23204100*q**2?\nAnswer: 329756664*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 8*o - 6. Let w(v) = -7*v + 5. Suppose 34 = -2*x - 4*n, -43 = 5*x - 5*n + 8*n. Give x*u(y) - 6*w(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 j when three letters picked without replacement from {j: 13, m: 5}?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -6\/11, 10, -4321?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 608 divided by -608\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12699 + 312?\nAnswer: 13011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3864 by -7.\nAnswer: -552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -207473456*v**2 - 330087575*v?\nAnswer: -414946912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of 3*l**2 + l**3 + 1\/30*l**5 + 7\/24*l**4 + 0 + 0*l. Calculate h(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, d: 6, y: 8}. Give prob of sequence yi.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 - -5) + 0 - 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**2 - 228 + 2*m**4 - m - 67*m**3 + 463 - 234 in the form p*m**4 + w*m**2 + j + u*m + s*m**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -1\/6*x**3 + 0*x**4 + 0 - x**2 + 0*x + 1\/15*x**5. Let y be v(2). Solve 7*g - 2*g - y = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 divided by 5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/124 + 2002\/(-11253))\/((-84)\/(-756))\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + 40 + 42 - 107 - 5*w.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -81.8706349 + 1054209329.8706349. Let a = -1054209242.40000059 + t. Let b = 5.6 - a. Round b to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d - 67*i + 64*i + 27, -8*i = 5*d - 7 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 83956 and 3676?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c**4 - 13358676*c**2 - 39243280.\nAnswer: 8*c**3 - 26717352*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**5 - 10*y**4 - 20*y**3 + 10*y**2 + 15*y.\nAnswer: 5*y*(y - 3)*(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1741*l**3 - 21*l - 752*l**3 - 724*l**3 - 23*l**2 wrt l?\nAnswer: 1590","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -32. Let s = c - 15.000019. Round s to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/665176 and 55\/4672.\nAnswer: 5321408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/9 + 2398\/(-504) + 2 and -23\/84.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5319 + -5318.8. Let m be (6 - 4)*(-11)\/(-14). Which is smaller: m or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -15*a**2. Let h(t) be the third derivative of t**4\/12 - t**3\/6 + 10*t**2 + 5. Let o(p) = 90*p - 40. Let b(m) = 40*h(m) - o(m). What is k(b(w))?\nAnswer: -1500*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7910562*o + 823111?\nAnswer: -7910562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/13 (b) -0.2 (c) 4 (d) 0.3 (e) 1477 (f) -3\/2 (g) -8\/13\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -125843\/80 > -1574?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 116.3 + -117.3. Sort -3, -8.4, 1\/3, -4, x.\nAnswer: -8.4, -4, -3, x, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6 + 6 - -2) + 2. Solve -2*b - c*t = 18, 5 = -3*b - 3*t - 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -14*d + 32. Let i be b(2). Suppose -2*v = 2*v - 3*z - 407, -z + 419 = i*v. List the prime factors of v.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4*s = -18, -3*s = 2*r + 4 - 2. Solve -2*a - 2 = -0*a - i, 10 = r*a + 5*i for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14042370 or 4\/3?\nAnswer: -14042370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**2\/13 - 3697776*s\/13 - 118330880\/13 = 0. Calculate s.\nAnswer: -32, 1848920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 438182681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + -1)*(-6)\/(-4). Let v(p) = p**3 - 3*p**2 + 4*p - 4. Let g be v(d). Suppose -a - a + g = 0. What is the closest to -2\/3 in a, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 93*b**2 - 2*b + 1. Let l be o(1). Let d(z) = 16*z**2 + 218*z - 15. Let f be d(-14). What is the highest common divisor of f and l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 12:51 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-12) - (-19)\/(-2 - 55)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 2*f - f)*(-2*f**4 - 1 + 1) + (0*f - 25*f + 10*f + 23)*(f**4 + 3 - 3).\nAnswer: -11*f**5 + 23*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z + 10. Let f be s(0). Solve 3*h = 3, 2 = 3*q - 2*h + f for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21509*q*w**3 + 620632*q + 2*w**3 - 1 wrt w.\nAnswer: -64527*q*w**2 + 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/30*-2)\/(1\/15)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 4*n**2 - 7*n + 5*n**2)*(-2*n**2 + 2 - 2).\nAnswer: -2*n**4 + 12*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1719143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 3*l + 12 = 0. Let a = -25 - -27. Solve l*n - 2 = -3*v, -5*v = -0*n - a*n - 12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 46\/35?\nAnswer: 46\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 154862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and -0.5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 788092 divided by -3?\nAnswer: -788092\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8706.1 millilitres to litres.\nAnswer: 8.7061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 975 - 1f884?\nAnswer: -1ef0f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r**2 + 2*r. Let m be f(-2). Suppose q = -q + m. Is 15 a factor of q\/(16\/(-86))*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -116 > -116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64385612 is divided by 56?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = z - 16, 4*m + 4 = 8. Calculate the greatest common divisor of 3320 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -3*y - 16, 0*a - y - 2 = a. Let z(n) = n**2 - 2*n. Let g be z(2). Let r = a + g. Solve 4*x = q - 13, x + 4*q = -r*x - 24 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/((sqrt(72)*2 - sqrt(72))\/sqrt(6)) - -2*(-1*sqrt(847) + sqrt(847)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 1312130?\nAnswer: 1312124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -25*b**3 + 40*b**2 - 40*b. Let a(d) = 2*d**3 - 3*d**2 + 3*d. Let r = 49127 - 49124. Suppose q - 21 = 19. Calculate q*a(l) + r*g(l).\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 85188747068 - -1408\nAnswer: 85188748476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -359982 divided by 119994\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17 and 2661?\nAnswer: 45237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k*q**2*z - 2*k*q**2 - 3*k*z + 19*k - 41*q**4*z wrt q.\nAnswer: -2*k*q*z - 4*k*q - 164*q**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(300)*2 - sqrt(300)))**2 - (-1*sqrt(27) + (sqrt(324) - sqrt(36))\/sqrt(12) + sqrt(3)).\nAnswer: 7500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2306 is divided by 1110.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + z + 2. Let y be p(-2). Let h be (-35955)\/22 + y\/(-44). Let g = h + 1669. What is the common denominator of 3\/10 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33188477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 10*t + 55. Let d = 9 + t. What is the third biggest value in -5, 1\/5, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1*(0 + 4))\/(-1). Suppose -2*p - 10 = -m*p. Sort -1, p, 3.\nAnswer: -1, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 815578625*x**3 + 100508200.\nAnswer: 2446735875*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*f**2 - 16*f**2 - 4*f**2 - f**2 in the form h + v*f**2 + l*f and give v.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 90060680 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrw when three letters picked without replacement from {r: 7, w: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2 - 8*f - 46. Let j be i(7). Suppose 0 = -4*x + t + 3600, 3*x = 2*x - 4*t + 900. What is the remainder when (x\/9)\/(-2 - j) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 1 + 4 = 3*d, -d = -n - 8. Let g be 4\/8*-3*(-2 + -2). Suppose 2*q = -x + 3*q + g, 4*q = -d*x + 75. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 137\/9 - 15. Let z = -6.9 + 3.7. Let h = -3 - z. Which is the nearest to -1\/5? (a) h (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 - 17085*v**2 - 24333309*v - 24316227.\nAnswer: -3*(v + 1)*(v + 2847)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 - 2*b**2 - 11991*b**3 + 11993*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -36 (b) -39.4 (c) 1.8 (d) 2\/3 (e) -3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -552 + 558.54. Let n = -0.14 + j. Let w = -6 + n. Which is the nearest to 1? (a) -0.1 (b) w (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -272\/1771 or -1?\nAnswer: -272\/1771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -3, -35, 5.85?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 12) to base 3.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) -5 (b) -4 (c) -1\/4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3 (b) -0.014 (c) 0.3 (d) 3\/7 (e) -6\/11 (f) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.93807t to milligrams.\nAnswer: 5938070000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-2))\/(-3)*840\/(-300)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95641.08 millimeters to nanometers.\nAnswer: 95641080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yoooaxodx. Give prob of sequence oa.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00039238592 to 7 dps.\nAnswer: 0.0003924","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o. Suppose 4*j + 4*a = 88, 3*j + 46 = 5*j + 3*a. Suppose -5*f + j = -3*f + 2*n, 5*n = 3*f + 10. Let u(d) = -f*d - 2*d + 3*d. Give t(u(g)).\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(3\/7))\/p**(-2\/3))\/((p*p**(3\/5)*p)\/p*p)**(-1\/50) assuming p is positive.\nAnswer: p**(11273\/5250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 161 - 117. Let b = -66 + o. Is (-9178)\/(-143) - (-4)\/b a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/6 and (-15411)\/7480 + (1 - (-4 - -3)).\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (560\/15)\/8 - (-2)\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 3*q + 16, 0 = 5*q - 3 + 13. Find the common denominator of (212\/(-20))\/(12\/z) and 17\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wii when three letters picked without replacement from iiwgtiiwiwtiwiic.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22992, -23000, -23008?\nAnswer: -23016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-1078)\/(-70) - 13)\/((-1)\/(-5))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*(-85)\/(-25))\/(9\/18)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 22*u**2 + 44*u + 39. Let q be o(29). Let s = 4650 - q. Let x = -1071 - s. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 8*x**2 + 6*x + 6. Let g(k) = -1 - 2*k + k - k**2 + 0*k**2. Let p be 3\/21 + 3\/21*-4516. Let q = p - -644. Give q*v(l) - 6*g(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**3\/19 - 130709800*i**2\/19 = 0?\nAnswer: 0, 65354900","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**3 + 8159 - 8159 + 1695*r**2.\nAnswer: -r**3 + 1695*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1*j)\/(j**5\/j*j)*j**(-1\/2)\/((j*j\/(j*j**(-3\/2)))\/j) assuming j is positive.\nAnswer: j**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**2*b*t**3 - a**2*t**2 - 2*a**2*t + 2*a*b - 9*a*t**3 - 2*b*t**3 - 2*t wrt t?\nAnswer: 6*a**2*b - 54*a - 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = f - 1395, 0 = 81*f - 84*f - 2*t + 4190. List the prime factors of f.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -142 + 285. Suppose 0 = 5*a + 4*x - w, -3*x = a - 0*x - 33. Suppose j - 3*t = 4*j - a, -33 = -2*j + 3*t. Solve 3*v = 7*v - j for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-5) + 1 + -1. Let y = -0.3 - -0.7. Suppose -2*f + 6 = 14. Which is the closest to u? (a) -3 (b) f (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38636610 - 59884722. Let c = d - -48688112. Round c to the nearest one million.\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 16*n + 33. Suppose g + 40 - 10 = 0. What is the remainder when (g + 0)*(9 + -10) is divided by t(-17)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**5\/6 + 935*j**4\/6 - 315*j**3 + 5*j**2\/3 + 1885*j\/6 - 315\/2 = 0 for j.\nAnswer: -189, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + 19 + -15 + -3?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 - 5)\/(2\/4). What is the derivative of -h**2 - 2*h**4 + h**r - 2 wrt h?\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 7*i + 6. Let s be o(6). Suppose -4 = -z - s. What is the third derivative of 5*l**5 + 3*l**2 + 1 + z*l**5 - 1 wrt l?\nAnswer: 540*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 7*n**2 + 6*n. Let z(c) = 37*c**2 + 33*c. Let m(x) = -11*d(x) + 2*z(x). Let t(r) = -290*r**2. Calculate t(m(o)).\nAnswer: -2610*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1\/f**(-3))**(-9\/10)*((f*f**0*f*f)\/f)**(2\/19)*(f\/(f**(-1)*f)*f)\/(f\/((f\/(f*f**(-4)))\/f)*f) assuming f is positive.\nAnswer: f**(-37\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*l**3 - 133*l**2 + 137*l**2 - 23*l**3.\nAnswer: -l**2*(3*l - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20879*f**2 + 12995*f**2 + 11149*f**2 + (3*f - 5*f + f)*(1 - 1 - f).\nAnswer: 3266*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1700) + (-5 + -2*sqrt(1700) - sqrt(1700)) + -1 - (5 + 0 + sqrt(1700))*-2) + 2)*6*6*3)**2.\nAnswer: 419904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**17\/(a*a\/(a**(13\/3)\/a)*a))\/(((a*a\/(a**2\/a*a)*a)\/a)\/a*a*a**(-16)) assuming a is positive.\nAnswer: a**(100\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*x - 290 = -11*x - 48*x for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 6, -77, -181 in decreasing order.\nAnswer: 10, 6, -77, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 31. Suppose -a + 8 = -2*b. Solve 3*d + i = 4, 2*i - i = -b*d + 7 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -246 - -233. Let w = 15 + q. Solve -2*h + w + 8 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 8*l - 8*l**3 + 4*l**2 + 225*l**4 + 225*l**4 - 679*l**4 + 0 - 6 + 231*l**4 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 904\/(-28) - 2\/(-7). Let h = 57 - q. Suppose -h - 8 = -2*m. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -198 - -202. Suppose 3*f - m*p = 39 - 20, 4*p = 5*f - 37. Calculate the remainder when (-238)\/(-6) + 2\/6 is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 14 + 11)*(-1 - x + 1)*(-1 + 1 - 2*x) as c*x**2 + v*x + r and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*y - 94*y = 162. Put -4, y, 1, -1, -8 in descending order.\nAnswer: 1, -1, y, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 18, i: 1}. Give prob of picking 1 i and 1 o.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 569478 is divided by 29894?\nAnswer: 1492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 652, 2311, 4902, 8425, 12880, 18267?\nAnswer: 24586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4442689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccb. What is prob of picking 3 c?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65 - 64.26. Let j = l - 0.24. What is the second smallest value in -0.4, -2, j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q. Let f(z) = -5*z**2 + 3*z**2 + 4*z**2. What is f(p(t))?\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 4*a + b + 16, -2*b = -4*a - 40. Let r be ((-810)\/(-24))\/((-3)\/a). Calculate the common denominator of 574\/r + 2\/9 and 8\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -3*v**7\/14 + 69*v**4\/8 - 2*v**2 - 107*v. Find the second derivative of h(k) wrt k.\nAnswer: -540*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -327*y**2 - 6180*y + 602. What is c(-19)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + -8)\/(4\/6). What is the remainder when 74*(-2 + (-15)\/y) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k + 4*k - 3*c + 1 = 11, -5*c + 10 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 4\/((-16)\/(-60)). Let p(f) = f**3 - 13*f**2 + 12*f + 16. Calculate the remainder when 60 is divided by p(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4 + 5*z**2 + 3*z - z - 7*z**2.\nAnswer: -2*(z - 2)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 11. Which is the third smallest value? (a) 1 (b) f (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -3. Suppose -r + 12 = 23*f - 24*f, -1 = -3*r - 4*f. Let -d**2 + d - 3*d**2 - r*d + d**o = 0. What is d?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 1)*(2*r + 1 - 1 + (-19 - 4 - 2)*(3 - 3 - r)).\nAnswer: 81*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -208*k + 108*k + 3*k**3 + 119*k - 1 in the form s + d*k + h*k**3 + m*k**2 and give d.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92929 is divided by 18561.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.9 + -0.46. Round p to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16332\/5? (a) 0.5 (b) -2\/3 (c) 2\/7 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-95)\/(-950))\/((-38)\/(-8)) and 59\/75.\nAnswer: 1425","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11620 + 11619.9999810201. Round i to 7 dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 10 = 2. Suppose z*g + 43109 + 13891 = 0. What is g rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**3\/9 + 1869518*r**2\/9 + 3739039*r\/9 + 1869520\/9 = 0.\nAnswer: -1, 1869520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -173*w + 41*w + 264. Solve d + 7 = -w*f, 0 = -2*f + 57*d - 55*d - 4 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z + 8 - 5*z - 23. Let y(v) = v + 2. Let b be y(-8). Let o be l(b). Solve o = 7*q - 4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.76 to one decimal place.\nAnswer: 11.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -187b9c?\nAnswer: -187b98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 2:58 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 1416 = -9*q. Suppose -f = -3*f + q. Is f a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 431200288.\nAnswer: 2, 19, 709211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/(157\/2512) + -1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -10110010322 (base 5) to base 6\nAnswer: -1003212355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1596*r**3*u**3 + r**2*u**3 + 452*r**2 wrt r?\nAnswer: 9576*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -155729607 and -0.5.\nAnswer: -155729607.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-460)\/(-184))\/(-1)*252\/10?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f - 10. Let w be v(8). Suppose -p + 3*c = -w, -3 = -p + 5*c + 5. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of c**5\/10 + 3*c**4\/2 + 26*c**3\/3 + 24*c**2 + 32*c + 44. Determine h so that g(h) = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 20 = 0, -s + 3*s = 5*m - 28 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -4 + (14 - 6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - n - 3. Let t be p(3). Suppose -d = t - 6. Differentiate -5 - 15*a**3 + 18*a**d + 2 with respect to a.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}