diff --git "a/data/dm_maths/full_data_2/10754_11255.jsonl" "b/data/dm_maths/full_data_2/10754_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10754_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Factor 2*r**5\/5 - 8700*r**4 + 304402*r**3\/5.\nAnswer: 2*r**3*(r - 21743)*(r - 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -118085 and -5.\nAnswer: -118090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001933 to 7 dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 152, 5, -19 in decreasing order.\nAnswer: 152, 5, 0, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((20868\/(-24))\/37 + 23)\/((-8)\/(-176) + 0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(891)*3 - sqrt(891) - -3*(-3 + sqrt(891) - sqrt(891)) - ((sqrt(891) - (sqrt(891) - (-3 + sqrt(891)))) + 3 - (-4 + 0 + sqrt(891))))*-1)**2.\nAnswer: 1638*sqrt(11) + 43828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of z**6\/40 + 67*z**5\/60 + 5*z**4\/6 - 22*z**3\/3 - z**2 - 233*z. Factor b(i).\nAnswer: (i + 1)*(i + 22)*(3*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24.5 + -24.41. Which is the biggest value? (a) 0.1 (b) 2\/15 (c) u (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, w: 2, u: 1, k: 1, f: 1, n: 1}. Give prob of sequence ik.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -2. Suppose s*j = -j. Suppose j = -4*n - 2*y + 16, 4*n + 16 = 8*n + y. Solve -5 = v - n*g, -20 = 4*v - 2*g + 6*g for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -82*s. Let r(x) = -12*x**2. Calculate r(c(y)).\nAnswer: -80688*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n**2 - 13*n + 2. Let h(v) = 3*v**2 - 12*v + 2. Let o(a) = -5*h(a) + 4*x(a). Let c(z) be the first derivative of o(z). Give c(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 249517931 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -275*f**2 - 10*f + 2*f - 15*f + 28*f to the form p*f**2 + s*f + g and give p.\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2592)*1)\/(sqrt(9) - (sqrt(36)\/sqrt(2) - sqrt(18))\/sqrt(2)) + -2)*-5.\nAnswer: -60*sqrt(2) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -12682, -12623, -12510, -12331, -12074, -11727, -11278?\n\"Answer: 2*k**3 + 15*k**2 - 12699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*c + 105 = -120 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 13521.7*-4\nAnswer: -54086.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*t - 5*r, 8 = -t - 3*r + 7*r. Suppose s + 2104 - 11506 = t. Suppose 0*m - m = 2*u + s, -4*m - 37599 = -u. Round m to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 - 9961\/(-357))*6\/15?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/21860880 and 31\/92.\nAnswer: 502800240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12252 and 225.\nAnswer: 918900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - h + 343, -5*o + 573 = 24*h - 23*h. What is the highest common divisor of 1265 and o?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 12 = 3*u, 0*c - 2*u = 4*c + 16. Let q(k) = 14*k**3 - 6*k**2 + 8*k + 11. Let f(d) = 5*d**3 - 2*d**2 + 3*d + 4. What is c*q(o) + 11*f(o)?\nAnswer: -o**3 + 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 0 + (-2)\/3. Let v = -405.57 + 408.57. What is the closest to -1 in -7, z, v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1979 + 2835. Suppose 0 = 5*j - 10, -4*d + f = -2*d + 3*j. Suppose 0 = i + i - 3*a - 170, -4*a - d = -5*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 216396864*a**3 + 8*a - 1310465?\nAnswer: 1298381184*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, -0.5, 5, 46?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (((sqrt(171) + -2)*2*-4 + (sqrt(171) + sqrt(171) + 0 + -2)*1)*-2)**2)*-5.\nAnswer: -127040 + 10080*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 645996899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1501 - 1512. Let c = 0 - 0. Let w = -0.1 + c. Which is smaller: f or w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((1 - -8) + (2 - 6)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 83078*p - 747699. Determine m(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.04 + -3.63. Put i, 1, -1\/3, 5, 2 in ascending order.\nAnswer: i, -1\/3, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -32 and 0.014294368531.\nAnswer: -31.985705631469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -41*m**2 - 1. Let o(a) = a. What is j(o(z))?\nAnswer: -82*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 + 85413*l**3 + 108*l - 42702*l**3 - 42714*l**3.\nAnswer: -3*l**3 + 108*l + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j**2 + 11*j - 15. Let x(r) = -2*r**2 - 7*r + 10. Let p(y) = 5*l(y) + 8*x(y). Suppose 5*o - q + 23 = 0, 4*q = o + o + 20. Give p(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -v - 0 - 38, 14 = 3*d - 5*v for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 18\/289?\nAnswer: 18\/289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 + 2*u**3 - 3*u**3)*(1 + 0 + 0)*(-1 - 2 + 2 + (10 - 10 - 13)*(5 + 1 + 3))*(3 - 5*u - 3).\nAnswer: -1180*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 29) + 13 + -1 + (3 - 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 4 - 4 + 20 - o as h*o + w and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.031 + 0.909. Let o = -0.06 - y. Which is the nearest to -0.2? (a) 0.1 (b) o (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - -1*(1 - -22). Suppose -s + a = s. Let n(f) = 17*f - 1. Let u be n(5). Calculate the highest common factor of u and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20966?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2061774?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0075284 to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7000 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 147*a - 154. Let r be c(-3). Let g = r + 596. Solve -4 = -3*d - g for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/5 - 76059\/135. Let j(d) = 21*d + 1. Let v be j(-4). Let n = v - z. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77411 is divided by 18740?\nAnswer: 2451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 y, and 1 o when four letters picked without replacement from ogolssylsos.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 10*v**2 - 7*v. Let o(c) = -c**3 + 8*c**2 - 5*c - 3. Let x be o(7). Let w be (-3)\/1 + (x - 1). Let i(l) = 9*l**2 - 6*l. What is w*i(z) - 6*h(z)?\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-seven quarters of a minute?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2010211121002101 + 11?\nAnswer: 2010211121002112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 446619166, 446619168, 446619170, 446619172, 446619174, 446619176?\nAnswer: 446619178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -40, -119, -240, -403, -608?\n\"Answer: -21*v**2 - 16*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16643*r - 170 = -16613*r + 33290*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -1. Suppose 4*t - s = 2. Solve -t*a = -o + 3, 23 = -5*o - 2*a - 2*a for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 164 + -282. Find the common denominator of 43\/40 and 3 + z\/32 + -4.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -540*v + 3237*v + 110577 for v.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*s, 0 = -6*m - 3*s + 2941 - 2968 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 8, 1, 277, 5, -2 in descending order.\nAnswer: 277, 8, 5, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1118.8 - -1149736.1\nAnswer: 1150854.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 7*h + 19. Let j be o(-8). Suppose 3*n = -4*u + 61, n - 7 = -4*u - 0. What is the highest common factor of n and j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 560 - 336. Calculate the highest common factor of k and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2869818581 to the power of 1\/2, to the nearest integer?\nAnswer: 53571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15533 is divided by 4528.\nAnswer: 1949","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00175455334 rounded to seven decimal places?\nAnswer: 0.0017546","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/236 and 45\/236.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-3) - 121\/(-924). Let o = 1\/4 + z. Let q = 3.1 + 1.9. Which is the closest to o? (a) -0.1 (b) q (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000120431948 rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 2332?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 - (-6 + ((10 - 4) + -4 - -4) + -5)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35202925 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)*-6)**2 - (sqrt(720) + 0 + sqrt(720) + sqrt(720))**2 - sqrt(30)\/(sqrt(24)\/sqrt(4)*1 + sqrt(6))*-5.\nAnswer: -3600 + 5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21729*w**3 + 1661*w - 88354539.\nAnswer: 65187*w**2 + 1661","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**3 + o**3 + 3*o**3)*(16 + 20 + 5).\nAnswer: 41*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/5275, 2\/9, -0.4, -2.\nAnswer: -3, -2, -0.4, 2\/5275, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 788276 and 516?\nAnswer: 2364828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m + 240 = -10*m. What is the greatest common divisor of 6 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8255 by 5.\nAnswer: -1651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 10:09 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33583272?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000011302291 rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61702?\nAnswer: 2, 30851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 1021 = -5*g + 1011, 2*y - 5*g = -5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2405, -4814, -7223, -9632?\nAnswer: -12041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4 = 0, -3*h - 14 = -10*j + 8*j. Solve -3*b = -6*b - o - 11, 2*o - 28 = j*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*c - 7*c - 12*c + 0*c - 110 as r + l*c and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18194 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 111323213300 (base 4) to base 3\nAnswer: 101211002110112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s. Let d(f) = 573*f**2 - 1380*f**2 + 694*f**2. Calculate d(l(n)).\nAnswer: -1017*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 6:02 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q + 93 = 11*q. Let y(i) = -q + 3 - 16*i + 15*i. Let n(k) be the third derivative of k**5\/30 + k**2. What is y(n(t))?\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 9:53 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4219968146 to the nearest integer?\nAnswer: 64961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -17 (b) 6 (c) -1\/19 (d) -2 (e) 110 (f) 0.29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-77)\/(49\/(-7)) + -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5 - 5.5. Suppose 4*r - 17 + 1 = 0. Let f = 19 - 19.5. What is the second biggest value in y, f, r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -1.8, 5, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v\/v**(-1\/2))\/v*v))**(-28\/5)*v**(-11)*v**(-8\/5) assuming v is positive.\nAnswer: v**(-49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and -0.103.\nAnswer: -1.103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 2*q = 5*m + 30, -4*m = 0. Suppose -2*u - 26 = -4*p, -5*p + 2*p + q = 0. Let k be 12\/(-9)*u - 2. Solve -2 = j + k for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, j: 11}. Give prob of picking 3 j and 1 q.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 0 + 0\/(-4) - -2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 + 29. What is the highest common divisor of 48 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15035?\nAnswer: 5, 31, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*r - 217*r = -765 - 150. Let i(f) = -f**2 + 6*f + 4. Let l be i(6). Solve r*d = -d + 3*t + 5, l*t + 12 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4*q**2. Let f(u) = 77*u**2 + 1. Determine t(f(g)).\nAnswer: -23716*g**4 - 616*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 647, 812, 977, 1142, 1307?\nAnswer: 1472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1429376843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 103 + -35. Suppose -5*h + h + v = 0. Suppose 4*p - 252 = 4*j, 2*p + j = -p + 209. What is the greatest common divisor of h and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 24 = 4*y - 9, y + 3 = 0. Let i be -3 - (-6 + 3 - f). List the prime factors of i + 1 - (-6)\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33579481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/2*(-22)\/385*7. Let h(s) = -73*s + s**a + 154*s - 81*s. Let w(y) = 7*y**2 - 12*y. Calculate h(w(j)).\nAnswer: 49*j**4 - 168*j**3 + 144*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 8*j**2 + 8*j + 3. Let h be ((-126)\/12)\/((-2)\/8). Suppose -h*m + 25 = -37*m. Is 9 a factor of n(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 9) + (15 + -8 - 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (548 - 176 - 271)*(3*n + n - 2*n).\nAnswer: 202*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 44.49993 litres?\nAnswer: 44499.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5167863 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*h - 25*h + 111*h - 17*h - 32*h.\nAnswer: 23*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/4 and 20\/14*3969\/(-113481)?\nAnswer: 5604","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39612430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.04 - 0.96. Let i = u + 0.9. Put i, 1\/4, 3 in increasing order.\nAnswer: i, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of 0 + 25*t + 7\/6*t**4 - 29\/6*t**3 + 0*t**2 + 1\/24*t**5. Let o(i) be the second derivative of s(i). Differentiate o(f) wrt f.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*m - 28. Suppose m*c - 3*j = -j + 160, j - 335 = -4*c. What is the remainder when c is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l**0*l)*l*l**(-5\/2)\/l*(l**(-3\/2))**(2\/27) assuming l is positive.\nAnswer: l**(-47\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -114*u + 98*u + 96 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, o: 1, e: 7, f: 3, v: 2}. What is prob of sequence fo?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4211265 or 12?\nAnswer: 4211265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69324650 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a - 5. Let c be r(-4). Which is greater: -2\/19 or c?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-nine halves of a milligram in micrograms?\nAnswer: 44500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 10*g**2 + 10*g + 76. Let s(r) = -12*r**2 - 13*r - 76. Determine -5*q(o) - 4*s(o).\nAnswer: -2*o**2 + 2*o - 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1517 - 10617\/7. Factor c*d + 0 - 2\/7*d**2.\nAnswer: -2*d*(d - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8666 + 33803. What are the prime factors of p?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from ahhnnfnhnnaaf?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8625?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.72 - 0.02. Let u = 1.2 - l. What is the biggest value in -1, u, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 12 = 2*c, 5*c = 5*z + 118 - 63 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = i + 13. What is the units digit of (32\/6)\/(i\/(-27))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1067552 and 512.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -12\/49 (c) 0.4 (d) -1 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9552 a factor of 1303826444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 38*u - 250, 3*b + 391*u - 776*u = -389*u + 52 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (2 + 6 - (2 - -1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -12 + (-2 - (2 + -6)) + -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 12:59 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n*n\/(n\/(n\/((n*(n\/(n\/(n\/(n\/(n\/(n**16*n))))))\/n)\/n)))*n)\/n))\/(n\/(n*n**(-3))))\/(n**(-6\/13)\/n)**(1\/33) assuming n is positive.\nAnswer: n**(-8990\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*k + 2*k**2 + 27*k - 48*k - 3*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 209300?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*l**2 + 295*l - 140*l**2 + 79*l**2 - 296*l.\nAnswer: 2*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 154 and 11625482.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 71.2 and -972860?\nAnswer: 972931.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 26.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/24*(-198)\/(-33)*48\/(-54)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -3*w + 7*f - 3*f, 126 = 3*w + 3*f. Suppose w*v = 42*v - 8. Let u = 5 + 5. What is the nearest to u in 2\/21, 2, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 124, -6, 5 in ascending order.\nAnswer: -6, 3, 5, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 8*v + 6*v = 0. Solve 0*j - 14 = -2*j + w, -5*j + 4*w + 41 = v for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 105*h**4 - 5825*h**3 + 2685*h**2 + 3585*h - 550 = 0.\nAnswer: -2\/3, 1\/7, 1, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/3)\/v*v*v**(2\/7)*v)\/(v**7*v**(-4)))\/(v**(2\/11)\/(v**(-1)*v))**48 assuming v is positive.\nAnswer: v**(-2489\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) - ((sqrt(1375)*2 - sqrt(1375)) + sqrt(1375) - sqrt(1375) - sqrt(55)))\/(sqrt(60)\/sqrt(3)) + 5*(sqrt(176)*2 - (-1*sqrt(11) + -5))**2.\nAnswer: 897*sqrt(11)\/2 + 4580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2180884?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*o = 77*o + 60 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 2 (b) -5 (c) 8 (d) 1\/116\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 + -154 - (-28 + -17)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 x when three letters picked without replacement from {x: 5, y: 4, w: 3}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*n + 1. Let f(x) = 4 - 6*x - n*x**2 + 2*x**3 + 0 + 1 - x**3. Determine f(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -4*n + 21. Let j be g(4). Suppose -4*v - 3*b = -0*v - 613, j*v - b - 771 = 0. Calculate the greatest common factor of v and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 285 + 70395*q - 140777*q + 70386*q - 285.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1907 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: Evaluate (175\/((-514150)\/339))\/(-3*2\/(-2)).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -138300, -138418, -138536, -138654, -138772, -138890?\n\"Answer: -118*u - 138182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 5*t + 60. Let w be q(5). Calculate the greatest common factor of w and 221.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16557344?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30827 - -33959. Calculate the lowest common multiple of j and 3654.\nAnswer: 21924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 11:32 PM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 56388\/1016*56\/(-42)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.042 - -3.058. Let w = -5.5 - i. Let a = -8.5 - w. Are a and 0.31 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*a - 3 = 62*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 717 + -708. Let m = s + -9.0001216. Round m to 5 dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 100\/(-15)*6\/(-5). Let v be (q\/3 + -3)*3. Which is bigger: v or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.64438 weeks to hours.\nAnswer: 10860.25584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a decade?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from hhrhr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h + 4. Let u be x(0). Let n = -43 + 40.9. Let l = -3.1 - n. Which is the biggest value? (a) -5 (b) l (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 157\/78)\/((-2)\/(-8)).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -8675 divided by -184039\nAnswer: 8675\/184039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 6*c**2 - 10*c**2 + 42 + 5*c + 5*c**2. Let v be x(-9). Which is bigger: 76 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -200\/17 + 2234\/187. Let y be 11 + (-3 - (-21)\/6). What is the third smallest value in -0.4, y, w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2985356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19727461?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 85\/(-8)*(48 + 3876\/(-85))*-2?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46.9436 + 0.0564. Which is the third smallest value? (a) v (b) -1 (c) -1\/9 (d) 18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*z = -3*m + 3, -5*z + 6 = -3*m. Let o(x) be the second derivative of 5\/6*x**m + 0 + 1\/2*x**2 - 2*x. What is o(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*w**5 + 365358*w**4 + 150583654*w wrt w.\nAnswer: 240*w**3 + 4384296*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14438\/23 - -628. Let l be (-2 + -2 - -2)\/2. Is z greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42 (base 6) to base 12.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wiqlz. What is prob of picking 1 w and 1 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -6*b**3 + 3*b**2 + 3*b. Let q(v) = v**2 + v - 1. Let w(g) = 3*q(g) - y(g). What is the first derivative of w(o) wrt o?\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddavuapava. What is prob of sequence uvv?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65*y + 4 - 5*y**2 - 65*y)*(y**2 - 2*y**2 - y**2) + 114 + 68*y**4 - 114.\nAnswer: 78*y**4 - 8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64948*v = -64705*v - 4131 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*n + 4 + 282 = 0. Solve 9*l = n - 38 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 u when two letters picked without replacement from eueeeueeeqedeee.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5 = 16. Let g be ((-18)\/d)\/(84\/(-392)). Suppose g*r = 16*r - 1232. What is the greatest common factor of 28 and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -51, 1155?\nAnswer: 1155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302718526.\nAnswer: 2, 11, 19, 65837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6 - ((7 - (13 + 0)) + 5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 29 = -4*h - 9*u, 0 = -5*h - 5*u - 40. Put -4, h, 97, 2, 7 in descending order.\nAnswer: 97, 7, 2, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 451173?\nAnswer: -451172.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c**2 + 4 - 2*c**2 - 5*c**2 + 6*c**2 - 6*c. Let d(f) = -6*f**3 + f**2 + 3*f + 1. Let m be d(-1). What is the remainder when 95 is divided by o(m)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 12, 0.2, 1\/3, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 - 20 = -2*l. Let o(i) = 3*i + 5. Let u = -6 + 10. Let d(w) = 8*w + 14. Calculate l*o(k) + u*d(k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 6:30 AM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0066 + -20.9934. Is q equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-2) + (1 - 2). Let r(p) = -p**3 - 5*p**2 + p + 6. Let l be r(-5). Let f = l - 1. Solve -b*c + 4*j = -c + 5, j = f for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + 32. Suppose -16 = -3*d + 29. Let y = d - 10. What is the highest common divisor of f and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -250, 4 in ascending order.\nAnswer: -250, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 3\/5, -48, 3, -1, 1, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010100111110000101011 (base 2) to base 14.\nAnswer: -526987","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/3 or 2.627?\nAnswer: 2.627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -581 + 6426\/11. Suppose -k - 6*h + 11*h = -13, h + 5 = -k. What is the common denominator of (-61)\/k*(-3)\/15 and i?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6171 and 4301?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*o - 364 = 56. Which is the second smallest value? (a) 0.2 (b) -358 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x - 1. Let t(a) = -2*a + 4. Let g be t(4). Let h be 45\/24 + g\/(-32). Suppose z - 3*s - 6 = 0, -3*z - 5*s = h*z + 10. Give w(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6077, 25778, 58613, 104582, 163685, 235922, 321293?\n\"Answer: 6567*t**2 - 490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -7*b + 282. Let i = -73 + b. What is the highest common divisor of 34 and i?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -52*y**2 + 5*y**3 + 3*y - 9*y**3 - 3*y + 6*y**3 = 0. What is y?\nAnswer: 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1102 (base 5) to base 2.\nAnswer: 10011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4047*f - 308*f - 226460 for f.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t - 1. Let d be i(1). Let v(p) = d + 3*p**3 - 2*p**2 - 7*p**3 - 1. What is v(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276 = -4*y + 732. Suppose -2*k = -3*m + k + y, -k = m - 90. Suppose 3*n + 5*x = x + m, -4*n + 5*x = -116. What are the prime factors of n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3*(-5)\/20 + 430\/8 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - t = 0. What is the tens digit of 12 + (-1 - t - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -84*q**3 + q + 1. Let t(c) = 2*c**3 + c + 1. Calculate 3*f(u) - 3*t(u).\nAnswer: -258*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 130 + 70. What is the remainder when 10\/w + 326\/8 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqsskpqlqkrqskl. What is prob of picking 1 l and 1 q?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 349691, 699387, 1049083, 1398779, 1748475, 2098171?\n\"Answer: 349696*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-32)\/(-28))\/(-4)*-84. Differentiate l*j + 59*j - 20*j + 96 + 97 with respect to j.\nAnswer: 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - s**2 + 23*s - 2. Let d be x(-6). Let g(n) = -8*n + 334. Calculate the remainder when g(d) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*p = 57*p - 800. Let l = p + -23. Let j(g) = -g + 19. Give j(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-20)*(-62)\/(124\/30)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 230.9, -1\/5, -3, -1.6?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and 4705.128.\nAnswer: 4704.928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0 (b) -241955 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1211 + -1166. Calculate the lowest common multiple of 33 and i.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 420 and 4837740?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2321.9 rounded to the nearest 10?\nAnswer: -2320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -11. Let x(d) = d**4 + d**2 + 1. Let p(g) = -2*g**4 - 5*g**2 - 7. Let z(m) = k*x(m) + p(m). What is the derivative of z(r) wrt r?\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 344 and 1118.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -600*l + 894*l - 286*l.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 252 and 16476?\nAnswer: 345996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6170546449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (4 + 0) - -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 40130602 (base 8) to base 12\nAnswer: 29a8996","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 - 38. What is the closest to x in 2\/17, 1\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - v + 11 = 75, 0 = -4*r - 12*v - 728 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3733 + -237?\nAnswer: -4172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2248.\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/5774 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 7*h + 33. Let g be t(9). Suppose -3*l = -3*x + g, 3*x + 0*l = 2*l + 20. What is the remainder when 97 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 4114053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-171)\/(-285)*4756\/(-492)?\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -20, -315 in descending order.\nAnswer: 3, -4, -20, -315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(48)*-3 + -5 + 3*(2 + sqrt(300)).\nAnswer: 1 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 35 - 23 = 0. Let b = 1.5 + -1. What is the smallest value in b, -16, t?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61036?\nAnswer: 2, 15259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qjoj when four letters picked without replacement from {o: 1, n: 1, j: 3, q: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/6 + -1)*3. Calculate the common denominator of 2\/3 + (-40)\/42 and (-51)\/12 + h + -1.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 1. Let d be b(1). Calculate the remainder when 42 is divided by (1 + d)*(5 - -10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/2808 and 29\/41535.\nAnswer: 996840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 5*q - 15, -20*q + 2*f - 8 = -19*q. Let t be 17\/2 + 1\/(-2). Let c = t + -5. Which is smaller: q or c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 c when two letters picked without replacement from gggggcbbbggc.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -68.966 to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**5\/3 - 127*s**4 - 37970*s**3\/3 - 107020*s**2 - 302808*s - 276768 = 0. What is s?\nAnswer: -186, -4, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5*z = -5, -18 = -7*y + 5*y + 2*z. Let j be y - 0 - 1 - (-4 - -9). Let q be 1*(-1)\/(-3)*-2. Which is smaller: j or q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/61 (b) -3 (c) 2\/13 (d) 0.21 (e) -2.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 4, -2, 3, 1, -1.14.\nAnswer: -2, -1.14, 0.3, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 612, 621, 650, 711, 816, 977, 1206?\n\"Answer: 2*c**3 - 2*c**2 + c + 611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 66 - 65. Let a be w\/(-2)*(-4 + -6). Suppose 0 = -3*n - a*o - 20, 3*o + 16 = 3*n - o. Solve 0 = 4*b - n*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16802931*d**3*l - 149*d**2*l + 196*l - 14 wrt d.\nAnswer: 100817586*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13133 + -1056?\nAnswer: 12044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/45 and 74\/495?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 2*q - 53. Let x(w) = w**2 - 3*w - 46. Let f(y) = 3*h(y) - 4*x(y). Determine f(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101001000010 (base 2) to base 5\nAnswer: -41001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 25*k**2 - k. Let m = -2 - 0. Let j = m + 3. Is s(j) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of a*t*x + 3*a*t + 8*a*x + 2*t*x**2 + 4*t wrt x.\nAnswer: a*t + 8*a + 4*t*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -186 - 434. Let m = h + 619. Let k(w) = -w. Let q(a) = 2*a - 1. What is m*q(u) + 6*k(u)?\nAnswer: -8*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n**2 + 25*n - 205. Let j be f(15). What is the greatest common divisor of j and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r - 7*r - r**2 - 5*r + 11 + 3*r. Let c be z(-8). Is 2 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 28 = -2*m - 0*m, 0 = -2*m - u - 16 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 178, 302, 420, 538, 662, 798?\nAnswer: 952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 8:48 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, f: 1, z: 1, s: 4, b: 1}. What is prob of picking 2 s?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/4465 and -11\/950.\nAnswer: 44650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 10*d - 9. Let s be g(10). Suppose -3*l = 5 - 2. Put -5, s, 2, l in ascending order.\nAnswer: s, -5, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 369559472 is divided by 396?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3*f - 8. Suppose 49*y + 89*y + 107*y - 1120 = 21*y. Put f, 3, y, 1 in increasing order.\nAnswer: f, 1, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -10*r - 48. Let s(y) = 9*y + 49. Determine 6*d(w) + 7*s(w).\nAnswer: 3*w + 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 1.151?\nAnswer: -4.151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3075540080?\nAnswer: 2, 5, 38444251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -141\/720230 and 9\/4033288.\nAnswer: 20166440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 44036 + 14?\nAnswer: 4404a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v**2. Let o(i) = 35*i - 15*i - 17*i - 20*i. Determine j(o(y)).\nAnswer: -867*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((0 + sqrt(13))*6 - (sqrt(39)\/sqrt(3) + -1)) + sqrt(78)\/(sqrt(486)*2) + 2)*5)**2.\nAnswer: 2275*sqrt(13)\/3 + 2764225\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 554 take away 3.2?\nAnswer: 550.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1678078 is divided by 1678076?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -14, 4, 33 in increasing order.\nAnswer: -14, -3, 0, 4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.8 + -5.6. What is the biggest value in -4, a, 4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = -7 + 595. What is the least common multiple of x and 22?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 921, 6212, 20569, 48522, 94601, 163336?\n\"Answer: 755*t**3 + 3*t**2 - 3*t + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1045 - 1023. Solve -3*u = 4*q - f, -5*q = 2*u + 4 - 28 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 89 (b) 1.8 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3810 and 3855.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31999290*u**2 - 10967*u + 849 wrt u?\nAnswer: -63998580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 20 = -o, -2*o + 22*z + 35 = 17*z. Calculate the lowest common multiple of o and 2\/9 - 320\/(-18).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 2. Suppose -3*m = -71 - 118. Let p be (-6)\/(-39) + m\/13. Solve z + o = -p for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(2\/9)*s*s\/(s*(s**(4\/3)*s)\/s))\/(s*s*s**(2\/5)*s)**21)**(-29) assuming s is positive.\nAnswer: s**(92017\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 0.2, -40, -1 in decreasing order.\nAnswer: 0.2, 1\/7, -1, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 42*q + 584 - 140. Sort 0, -3, -4, q.\nAnswer: -4, -3, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 7*c = -645. Suppose -1149 + c = 3*v. Let a = -200 - v. Does 28 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 41 = 4*x - 3*u, 5*x = -4*u + 110. What is the remainder when 76 is divided by x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 6*j = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 815089 to the power of 1\/3, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 94705403521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1354 + 1354.000006056. Round n to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*(sqrt(1900) - (1 + sqrt(1900) + sqrt(1900)) - sqrt(1900))*3*-2*1*3)**2.\nAnswer: 1296000*sqrt(19) + 246272400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*j - 15 = 0, 2*d - 7 = -j. Let b = 24 - 21. What is the second derivative of -o - 88*o**d - 2*o**b + 88*o**2 wrt o?\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1686 divided by -562?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, p: 2}. What is prob of sequence kp?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 733453 * -0.1\nAnswer: -73345.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 3*g - 22, 0 = -3*g - 3 + 6. Suppose -o*w = -71 + 11. Let l be -21*(52\/w + -4). Which is bigger: l or -8?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -5 (c) 2 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 295*i + 5020. Let n be x(-17). Let l be ((-15)\/10)\/((-6)\/8). What is the nearest to l in -4\/5, n, 2\/81?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 15*k + 14. Let g be x(16). Let n be ((-51)\/g)\/((-2)\/(-22)). Let o = 1877\/110 + n. Find the common denominator of o and 79\/72.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*z + 19 = -a, 4*z - 16 = 4*a. Suppose 104 = z*i - 26. Calculate the greatest common factor of i and 234.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 51? (a) -5 (b) 1\/6 (c) 5 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.5 and 651126?\nAnswer: 1627815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - ab44?\nAnswer: -ab3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 4*i**2 - i + 4. Let z be 2 - -1*(-6)\/(-3). Suppose t - z + 0 = 0. Give b(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20499307 is divided by 649?\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 2. Let j be r(0). Let g(x) = 20 - 6 - 14 - x**2. Let i(t) = -4*t**2. What is j*g(y) - i(y)?\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -25*102\/1275 - (-19550 - 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2*z = -15, -3 = p - 3*z - 6. Suppose c = -p*c + 12. Let h = -2 + 4. Solve 0 = c*r + h*r - 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*o**5 - 3*o**5 - 184*o + 202*o - o**4 - o**3 + o**3 - 2*o**5 + (-2*o + o**2 + 2*o)*(-o**3 - 2 + 2) + 0*o + 0*o - 2*o**5 + 3*o**5 - o**5 - o**5.\nAnswer: -5*o**5 - o**4 + 18*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h - 5*p + 25 = -4*h, 5*p - 10 = h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 266*o**2*u**6 - 26*o**2*u**3 + o**2*u**2 - 219*o**2 + 4*o*u**2 wrt u?\nAnswer: 31920*o**2*u**3 - 156*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1245*r + 38783 = 79735 + 34993 for r.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -73.121 rounded to zero dps?\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5547563\/10 <= 554756?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - 0. Let z = -11 - -8. Which is the nearest to 2? (a) 0.4 (b) z (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 4*b - 8. Let k be g(6). Let y be (-26)\/(-8) - 1\/k. Solve -y*a - 10 - 2 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(2 + (-32)\/12). What is the tens digit of g*(1 - (-9)\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (5*((sqrt(4050) + 1)*4 + sqrt(4050) + -1*sqrt(4050)*-1)*-3)**2)*-1.\nAnswer: -32808605 - 486000*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 19*s - 32. Let y be p(-20). Let b be -2 + (y\/(-5))\/1. Let i = 9 + -14. What is the nearest to b in -1\/5, -0.3, i?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 9*r + 3. Let w(z) = 5*z + 2. Let q(i) = 6*t(i) - 10*w(i). Let x be q(7). Suppose -4*g = -26 - x. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -5*s**2 + 34947*s - 488239. What is f(14)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 3 - 1. Does 2 divide (c + -1)\/((-8)\/(-24))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 73, 5, -47, -77, -79, -47, 25?\n\"Answer: f**3 + 2*f**2 - 81*f + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*n + 347 - 429 + 208 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b**4 - 214*b**3 + 624*b**2 + 2536*b + 768 = 0. Calculate b.\nAnswer: -2, -1\/3, 6, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 6. Let k(n) = -12*n**2 + n - 13*n**2 + 26*n**2 - 2. Let r be k(-3). Which is the nearest to r? (a) -4 (b) t (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -5, 16*h - 21*h + 155 = -3*v. Solve 50 = -h*l - 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwwo when four letters picked without replacement from owwwwowwwwwwwwwwwoww.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61 + 131. Suppose -42 = -67*v + 64*v. What is the highest common factor of v and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/10)\/((25\/(-120))\/(430\/(-129))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 2:39 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, f: 8, j: 2, d: 1, m: 2, u: 3}. What is prob of sequence efm?\nAnswer: 8\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) 2 (c) 3 (d) 31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-42)\/35)\/(8\/(-140)). Which is bigger: c or 43\/2?\nAnswer: 43\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.63244 millennia in decades?\nAnswer: 7263.244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -281974*x - 3656. Let f be m(6). Round f to the nearest 10000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -409\/330 + 14\/11. Let l(u) be the first derivative of 2\/15*u**3 - x*u**6 + 0*u**4 + 1\/10*u**2 - 2\/25*u**5 + 0*u - 3. Solve l(b) = 0 for b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 457476 and 46632?\nAnswer: 26533608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/68 and -44\/268523517.\nAnswer: 1074094068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 3*c - 2. Let n be s(-2). Calculate the common denominator of 12\/11 and (n\/(64\/(-252)))\/(-2).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -88\/63 and -13\/21.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1176 - -1724. What is the remainder when v is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 75 - 74.21. What is n rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*(sqrt(12)\/(-1*sqrt(6)*3) + (sqrt(2) + sqrt(2) + sqrt(128) + 0)*-4) + 0))**2.\nAnswer: 117128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110100 - 10111011101011100010?\nAnswer: -10111011101010101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*z + 254 = -2141 - 3977 for z.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*f + 219 + 101 - 80. Solve f*u - 14 = 14*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 83 = 2*m, -84 + 3 = -5*z - 4*m. Solve 3*l = 2*f - z, 11 = -0*f - f - 5*l for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -1b1?\nAnswer: 1b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g**2 + 2*g**2 + 3*g**2)*(-354*g + 354*g + 149 + 2*g**2) in the form x*g**4 + m*g**2 + f*g**3 + i + j*g and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5088687 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3)*(-5865)\/85.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 287\/2 - 1\/(-2). Let w(r) = r**3 - 26*r**2 - 25*r - 51. Let h be w(27). Suppose -g + 86 = -h*v, -2*g = -4*v - p + 26. Is -25 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 97.36673 centuries?\nAnswer: 973.6673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5*u - 27 = b, 25 = -5*u. Let n be b + -2*2\/4. Suppose -3*d - 2*l = -25, n*d + 4*d - 30 = -2*l. Solve 4*o = 5*a - 5, -a = 4*a + 4*o - d for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - g + 10. Let q be l(0). Let x(n) = -n**2 + 8*n + 12. Let b be x(q). Let r = -947 + 947. What is the biggest value in 5, b, r, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 596317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -1\/14, 1\/8, 2\/13, 4, -3, 6.7, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 8*f**2 + 9*f + 5. Let h be l(-9). Let o = h - 2. Suppose 2*t - 23 + 1 = 0. What is the remainder when t is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1 - 3*b + 6 - 8.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from spiipssipsiifisi. Give prob of picking 1 f and 3 s.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, -2, 6 in descending order.\nAnswer: 40, 6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 3*c**2 + c. Let z be h(3). Suppose z*y + 3 = -6. Let s = -2 + 3. What is the third biggest value in y, 3\/5, s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - s + 1. What is v(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*f - v - 10, -6 = 3*f - 5*f - 5*v for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*k + 7*k = 5*z - 7*k - 120, z = 41*k + 24 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3024*a**2*p - 4*a**2 + 124 wrt p.\nAnswer: 3024*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-0.09\nAnswer: -0.027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1887 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3 - 3*f + 7*f + f**3 - 4*f. Let x = 0 + -25. Let r = 18 + x. Let b(s) = -3*s**3 - 7. Give r*m(g) - 3*b(g).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 3*s - 420, 31 - 435 = -3*r - s. What is the lowest common multiple of 10 and r?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -9*x. Let d(i) = -i - 1. Let p(z) = -6*z - 7. Let q(v) = v**3 + 7*v**2 - 3*v. Let a be q(-7). Let t(h) = a*d(h) - 3*p(h). What is 8*t(y) - 3*u(y)?\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-737*g + 59*g - 90*g)*(5*g**2 - g**2 - 2*g**2) - 2*g**2 + 2*g**2 - 2*g**3.\nAnswer: -1538*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**5 + 3851948*y**4 - 2472922368360*y**3 + 529203738173040400*y**2 - 2116775386180792000*y.\nAnswer: -2*y*(y - 641990)**3*(y - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-28))\/o**(-11)*o**(-9\/8)\/(o**13\/o*o) assuming o is positive.\nAnswer: o**(207\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -169, -111, 0, 9, 3 in increasing order.\nAnswer: -169, -111, 0, 1, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = 67*q - 65*q. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-272)\/(-44) + (-2)\/11. Suppose 0 + q = 2*k. Suppose -4*z - f + 80 = k*f, -2*z = -2*f - 40. Is 10 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fifteen quarters of a millisecond?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51762.\nAnswer: 2, 3, 8627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - 453\/(-5)) + 6\/(-10). Suppose 47 = m - 4*p, -5*p + r = 2*m - 8*p. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 4)\/((-1)\/1). What is the remainder when (-183)\/a + 3\/(-5) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n - 39*t + 34*t - 13, -6*t = 6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j**3 - 1220*j + 1218*j + 0*j**3.\nAnswer: -8*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3010 + -2220?\nAnswer: -5230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 4. Let x(u) = -9*u**3 + 2*u - u + 3*u**3 - 4*u. Let f(z) = -7*z**3 - z**2 - 4*z. Let q(r) = k*f(r) + 4*x(r). Factor q(w).\nAnswer: -3*w**2*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-1\/2))**17)**34 assuming b is positive.\nAnswer: b**289","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -2924 (c) -1\/64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, -4, -5, -3, -2 in ascending order.\nAnswer: -34, -5, -4, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 6*o. Let s(u) = u**2 - 17*u + 42. Let b be s(14). Let g(p) be the second derivative of 11*p - 5\/6*p**3 + 0 + b*p**2. What is -4*g(k) - 3*m(k)?\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54 + 24*q**3 + 54 + 0*q**3 - 46*q wrt q?\nAnswer: 144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-29 - 5)\/((-229)\/38 - -6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 4*v + 8. Let a(g) be the third derivative of g**4\/8 + g**3\/6 + 2*g**2. What is the remainder when a(4) is divided by d(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1433 - 286*f**2 - 714 + 117 - 338*f**2 + f wrt f?\nAnswer: -1248*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16.6 and -614.545?\nAnswer: 10201.447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-120)\/21)\/4*-14. Let f be (-75)\/(-18) + l\/24. Solve -n + 5*s = 3*n - 9, -f*s - 25 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 17, 1, -2, 3 in decreasing order.\nAnswer: 18, 17, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 26*m + 3. Let o(a) = -25*a - 3. Determine -5*k(h) - 6*o(h).\nAnswer: 20*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 72135667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {e: 1, i: 2, u: 2, x: 2, z: 2, k: 5}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -94\/5*g**5 + 0*g**4 + 136 + 0*g - 101\/3*g**3 + 0*g**2. Find the third derivative of t(y) wrt y.\nAnswer: -2256*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140684633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*q + 207 = 38*q + 40*q. Suppose 62 = 2*h + 26. What is the highest common factor of h and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 77*t**2 + 129*t + 1757. List the prime factors of s(-15).\nAnswer: 13, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 8. Let p = -797 - -792. Which is the nearest to p? (a) q (b) -2\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2 + 2*i**2 - 4*i + 0*i + 3*i. Let d = 9 - 1. Calculate the smallest common multiple of c(-1) and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**4 - u**4 + 2*u**4)*(0*u + 0*u - 2*u + (-20*u + 530 - 530)*(1 + 3 - 2)).\nAnswer: -84*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3158*q**2*u**2 + 54*q**2*u*y**2 - 2645*u**2*y**2 - 39*u*y**2 with respect to q.\nAnswer: -6316*q*u**2 + 108*q*u*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4.19 or -6\/103?\nAnswer: 4.19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 39*i**3 + 3*i**2 - 4*i. Let n(f) = -f**3 + f**2 - f. Determine 3*n(s) - q(s).\nAnswer: -42*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u**2 - 33*u + 17. What is s(9)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 299.66 or -134.3?\nAnswer: 299.66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 480 - 127 + 168 - 670)*(5*a - 5*a + 2*a)*(-1 - 1 + 12).\nAnswer: -22540*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5017089 and 135597.\nAnswer: 5017089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2643335842?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -t + 3*a - 0*a, -5*a = -t - 55. Let o be 10\/t*(-2 - 4). Find the third derivative of -4*r**5 + o*r**2 - 4*r**5 + 0*r**5 wrt r.\nAnswer: -480*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 - -5 - 119 - (-56 + 30)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of n**5\/50 - n**4\/15 - n**3\/5 - 104*n. Let l(w) = 0. Calculate w.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101101 (base 3) to base 16.\nAnswer: -118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*s = -17, c - 2*c + 5 = s. Let t = 181163 + -181161. Solve k - 10 = x + x, k + c = -t*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76646.59 centuries in years?\nAnswer: 7664659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2549 divide 465771123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 + 0*k**2 - k**2 + (-1 + 1 - k)*(2*k - 3*k - k) - 20*k**2 + 25*k**2 - 40*k**2 + (-k - 3*k + 3*k)*(k - 2 + 2))*(-2*k**2 + 3*k**2 + 2*k**2).\nAnswer: -96*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q**2 - 9*q - 2. Let i(x) = 2*x**2 - 5*x - 1. Let l(o) = 10*i(o) - 6*r(o). Let h = 1 + -4. Let f be l(h). Solve s = 3*s + f for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**3\/3 + 54615256*k**2\/9 + 91025414*k\/9 + 36410164\/9 = 0?\nAnswer: -9102541, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 101581 smaller than 101585?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -207112*w**5 - 55*w**2 - 55190955*w wrt w?\nAnswer: -4142240*w**3 - 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -350 + 352. What is the remainder when 42 is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 - 42. Let h be 117\/45 + d\/5. Which is smaller: 9\/5 or h?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 303, 625, 949, 1275, 1603, 1933, 2265?\n\"Answer: w**2 + 319*w - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from iuyuuaamyuauamu?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wsswgswsssswssssl?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, -9781, 0.3, 1\/2, 0.05?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2407 and 72459.\nAnswer: 2101311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzzsyygzgsggyyyyy. Give prob of sequence ssg.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 10*f**2 + 7*f + 20. Let t be z(9). Solve 0 = -t*c + c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44 + 69. Suppose -2*j = 3*j - q. What is the third derivative of -9*g**5 + 4*g**5 - 33*g**2 - 21*g**j + 5*g**2 wrt g?\nAnswer: -1560*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/((-33)\/(-6) + -5) + 4. Is -1*(-3)\/h*(18624 - 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of 173*d**6\/60 + 667*d**3\/6 - 451*d**2. What is the derivative of p(i) wrt i?\nAnswer: 1038*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005117277 to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 101.697 to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -204538 >= -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/21 - 12112*w - 254350\/21.\nAnswer: -2*(w + 1)*(w + 127175)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rotxotorrrx. Give prob of picking 3 o.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206752*l - 16685 = 206230*l + 13069 for l.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/152 and -139\/19380?\nAnswer: 38760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 5*d, -3*q + 5*d = 2*d - 6. Let r = 101576\/85 + -1195. Let u = r + -53\/170. Which is bigger: u or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 32?\nAnswer: 5\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (3904\/40)\/((-4)\/(-90))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3\/8 (b) 5 (c) -3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 1\/2, -5 in increasing order.\nAnswer: -5, -3, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6991 - -6995. Let b(c) = -14 - 8*c**2 - 3*c + 2*c - 7*c. Let o(s) = 3*s**2 + 3*s + 5. What is u*b(h) + 11*o(h)?\nAnswer: h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 974.7751 millilitres in litres?\nAnswer: 0.9747751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l - 1. Let u be h(-2). Let k = -3.13 + 3. Let j = k - -2.13. Which is the nearest to -1? (a) 4 (b) j (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 69741339?\nAnswer: 767154729","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18606\/131 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 7:36 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 430.5352ms?\nAnswer: 430535.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*k - 31. Suppose 19 = 8*r - k*r. What is the remainder when 75 is divided by r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4779 and 236.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 8) in base 10?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -6*y - 27. Let d be o(-5). Suppose 5*g - 23 = -u, -2*u - 2*g + 14 = -u. Let b be ((-6)\/(-8))\/(2\/u). Calculate the greatest common divisor of b and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7175)\/(-100)*(-86)\/301\nAnswer: -41\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 2:03 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - w**2 + 1. What is h(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d. Let p(v) = 2*v**2 + 860. Give x(p(g)).\nAnswer: 4*g**2 + 1720","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 627631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 9, 0, -3, 0.0661?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.07*50\nAnswer: 3.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**3 - 50 + 50)*(-5 + 1 + 2)*(-1 + 2 + 0).\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/13*j**2 + 0 - 36\/13*j + 2\/13*j**3.\nAnswer: 2*j*(j - 6)*(j + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -2, -2\/9, 1\/7, -78\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14162290279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - (3 - 5)) + (50 - 41)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -12. Let t = -0.27 + -0.03. Let p = 185.9 - 186. Sort p, t, f in decreasing order.\nAnswer: p, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hxh when three letters picked without replacement from qqhqwhxwhjw.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 98012771 to the nearest integer?\nAnswer: 9900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 9:33 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -1.4, -70, 0.3, -0.13?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, v: 1, i: 2, z: 1}. What is prob of sequence li?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 13*d**2 - 17*d - 48. Calculate h(15).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2321 - -20816\/9. Let w be (0 - (2 - -4532))\/2. Let l = -20446\/9 - w. Find the common denominator of l and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -836546, -836543, -836538, -836531, -836522, -836511?\n\"Answer: a**2 - 836547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*w - 34 + 178*w + 113*w.\nAnswer: 215*w - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*w + s, 0*w + 4*s - 26 = -2*w. Let x(l) = 3*l**3 + 2*l - 4. Is x(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*y**3 - 24*y**3 - 21*y**3 + 71*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 48783297763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5128590251?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - -1. Let r = -44 - -85. Suppose -c = y - r. Solve -4*m + y = 5*l, 4*l - 3*m + 6*m - 27 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -5. Let u = -28533\/5 + 5706. What is the smallest value in 2.5, s, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2691579389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -6 + 1 + 0*y + 2*y + 4*y. Let c(f) = -f**2 - 35*f + 1095. Let n be c(-55). Let k(r) = r - 7 - r + 9*r. What is n*k(m) + 7*g(m)?\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 31*z + 60. Let o be l(-32). Solve 2*t - 12 = 4*a, -2*t = 5*a + 2*t + o for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5b56 - -10?\nAnswer: 5b66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 2, 3*a - 6*p = -5*p + 245. Suppose 3*c - 172 = -2*i, i - 15 = -2*i. Calculate the highest common factor of a and c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5 = 4*h, -h = -3*g - 0*g + 15. Which is the fourth biggest value? (a) -1\/7 (b) 2 (c) g (d) 4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*i. Let l be (3\/(-4) + i)*-4. Suppose -5*m + 105 - 35 = 5*g, m - l*g = 26. List the prime factors of m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 12) in base 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8036.066km to nanometers.\nAnswer: 8036066000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 - 192*h + 3072.\nAnswer: 3*(h - 32)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10505123 (base 6) to base 14\nAnswer: -84855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 221012002 + -23?\nAnswer: 221011313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -194 - 2*z**2 + z**4 + 2*z + 194 to the form x*z**3 + h*z + v + a*z**4 + s*z**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2195993032\/763 + 2878104. Let o = 1\/109 + m. Which is the nearest to 2? (a) o (b) -1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -42, -61, -78, -93?\n\"Answer: u**2 - 22*u - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56 - 60. Let l(p) = -p + 1. Let h(t) = 6*t - 9. Let n(z) = i*l(z) - h(z). Let j be n(0). Solve g - 11 = 3*x, j*g = 3*g - x + 8 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-74728)\/(-250))\/(42\/10). Let u = q - 498\/7. Suppose -3*p = -3*l + 6, -5*l = 4*p - 19 + 18. Is l less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3294663683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2597188 (base 10) in base 12?\nAnswer: -a53004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*g - 415 = 19*g. Which is smaller: 82 or g?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.377 to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/60)\/(-9*42\/(-180))?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 870 and 651282.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/37547517 and 2\/1787977?\nAnswer: 37547517","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**7*g))\/(g\/(g\/(g*g**(-2\/3)*g)*g)))\/((g**(-1\/15)*g*g)\/((g*g**(-3)\/g*g)\/g))*((g*g\/(g\/g**1))**(-10\/11))**(-11\/5) assuming g is positive.\nAnswer: g**(-124\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2852356 (base 9) to base 12\nAnswer: 638573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 298779527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 29*p**2 - 26*p + 54. Let d be g(-28). Let c(f) = 7174*f**2 + 7*f + 5. Is c(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -884*k - 22854617 = -907*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/27 and 31\/423.\nAnswer: 1269","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sttkpikpipspptiripts. What is prob of sequence pip?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 712, 1427, 2142?\nAnswer: 2857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 70.02 or 167?\nAnswer: 70.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 65 = u, 0 = d - 4*u + 27 - 7. Let y be d\/(-24)*(-6)\/(-4). Let b be -1599999 + (y - 0) + -2. What is b rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 25, 17, 7, -5, -19, -35, -53?\n\"Answer: -f**2 - 5*f + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c**3 + 4*c**2 - 2*c + 6. Let v be l(3). Let t be (-56)\/(-3) + (-15)\/v. Calculate the greatest common divisor of t and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (0 - -2) - 3) + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/205 - 396\/1435. Suppose -5*z - 2*f = -52, 3*z - 6*f = -f + 56. Suppose -7*r - z = -117. Which is greater: k or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 774882425 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 292815527 to the nearest integer?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 1153 divide 2652011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/391, 0.6, 3, 65, 2 in descending order.\nAnswer: 65, 3, 2, 0.6, 2\/391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-64)\/40)\/((13 + -8)\/(-25))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 369\/(-24) - (-21)\/56. What is the common denominator of (78\/44)\/(14 + f) and (-9)\/(-40)*(-20)\/(-24)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffffvvffffffffffff. What is prob of picking 4 f?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 u when two letters picked without replacement from vuvuvsvvvgggvvdvg.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 147*u**4 + 363*u**3 - 63*u**2 - 336*u - 84. Let k(h) = -21*h**4 - 52*h**3 + 9*h**2 + 48*h + 12. Let r(x) = 27*k(x) + 4*o(x). What is t in r(t) = 0?\nAnswer: -2, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 15*t**2 + 15*t + 12. What is m(-14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 0)\/((-2)\/6). What is the tens digit of 254\/(-1 + b) + (0 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 o when two letters picked without replacement from fofofof.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - 125\/4. Let w = 2 + 1. Let k be 9\/(-22) + (-4)\/(-8). Which is the biggest value? (a) w (b) m (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 63*w**5\/20 - 59*w**2\/2 - 36*w - 76. Let v(t) be the first derivative of r(t). What is the first derivative of v(h) wrt h?\nAnswer: 189*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 854 divide 696499342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000078984 to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2620*i**3 + 5*i**2 - 11*i. Let v(l) = -2619*l**3 - 6*l**2 + 13*l. Give 5*v(x) + 6*y(x).\nAnswer: 2625*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = 3*y - 5*t + 21, 0 = -y + 5*t for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 34466.76 tonnes in kilograms?\nAnswer: 34466760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1440 - -4?\nAnswer: -1431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -298*x**3 + 114*x**2.\nAnswer: -1788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 - 7. Suppose -36 = 4*u + 2*m, 28 = -3*u - 4*m + 3*m. Let l be (-180)\/g + 2\/u. Solve 2*n + 4 = -4*b, 2*b - l*n + 3*n = 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2040, 4067, 6094, 8121, 10148, 12175?\n\"Answer: 2027*i + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 14, -63.632, -1, 0.4?\nAnswer: -63.632","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 55\/4 of a century?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 7 - 7. Solve 4*j + 1 = 3*q - 4, -2*j - 5*q + 17 = g for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 369*b + 4584 = 1600 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-22)\/(-8) - (-21)\/(-28). Let r(j) = -9*j**2 + 3*j - 13. Let i(u) = -5*u**2 + u - 7. Let c(p) = -7*i(p) + 4*r(p). What are the prime factors of c(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 9. Let o = 11 + r. What is the second derivative of 1 - o*j**4 + 2 - 2*j - 3 wrt j?\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + 45. Let y = -2.013 - -61.653. Let d = p - y. What is d rounded to 1 dp?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 0 - 7 + 2 - 135*i + 20 + 43*i.\nAnswer: -92*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3*i - 17. What is the remainder when 45 - 18*(-6)\/12 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - 2*o + 4*o)*(-o**2 - 5*o**2 - 5*o**2)*(-22 + 22 + 12*o**2).\nAnswer: -264*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4275)\/27 + (-2)\/18*-3. Let k = o - -170. Suppose -5*p + 9 = -2*p. Calculate the highest common divisor of p and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + -8 + (-5 - (2 + -9))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*o - 131*o - 13 = 5*q, q - 6*o - 4*o + 3*o + 23 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i + 1. Let c be -5 - (4 - 14)\/(-10). Suppose 4*u + 5*k = 6 + 8, -2*k = -4*u. Let m(h) = 2 - 3*h - h + 3. Give c*b(v) + u*m(v).\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5560 and 239914.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*r + 71 = 6*o, 15 = o + r. Let p = o + 77. What is the highest common divisor of p and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 3950820\nAnswer: 1\/3950820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7.92 (b) -2\/9 (c) -4 (d) 0.08 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + ((-2)\/(-6))\/(14\/210).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iitt when four letters picked without replacement from tiittttttit?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 4. Let a(z) = -4*z + 3*z + 1 - u. Let o(t) = 35 - 1225*t + 309*t + 304*t + 307*t + 303*t + 6. Determine a(o(f)).\nAnswer: 2*f - 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-28)*f**(-36)*f**(-5\/8)\/f*f**(4\/19) assuming f is positive.\nAnswer: f**(-9791\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 538 is divided by 262?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 42 - 2044?\nAnswer: -2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**2 + a + 2. Let y be h(-4). Let f be ((-2188)\/(-10))\/(y\/(-85)). Suppose 5*j - 3*r - f - 3382 = 0, -2*j + 5*r = -1564. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*t + 20*t + 20727 = -80*t for t.\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -428*u + 466*u - 849794 = 0. What is the ten thousands digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + -24 + -11 + 35.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73745644.\nAnswer: 2, 7, 607, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -21320132100?\nAnswer: -21320132111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/28 - ((-396)\/42 - -1). Solve -3*f + 10 = -5*y - q*f, -5*f + 35 = -4*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*l + 3*l - 6*l)*(24 - 6 + 0 + (-1 + 3 + 6)*(4 - 5 + 3)) in the form g + r*l and give r.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 9*h**2 - 5*h - 5. Suppose 0 = -r - 5, 3*i - 5*r - 3 = 37. Let x(c) = -36*c**2 + 21*c + 21. Let d(p) = i*x(p) + 21*k(p). Let z(f) = f. Give z(d(s)).\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -u**4\/4 - 4*u**3\/3 + 5*u**2\/2 - 7*u + 3. What is the remainder when l(-6) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -58 - -56) + (3 + -1 - -9) + -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49326.96 + -49327. Let a = -13 - -8. Let m = a - -4.6. Sort p, 0.4, -5, m in descending order.\nAnswer: 0.4, p, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.7*-0.4\nAnswer: -1.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1459131 is divided by 2551?\nAnswer: 2510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76852 - -76847. Let x = 0.4 - 0.3. What is the closest to x in -29, i, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 127 + -125. Suppose 5 = k*x - x. Suppose -5*o - 28 = 2*v, 4*v + 19 = -o - 1. Sort x, v, 3.\nAnswer: v, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 79, -3, -5, -211, 4 in decreasing order.\nAnswer: 79, 4, -3, -5, -211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/140 and 79\/8.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - u + 3*u = 10, 0 = -2*u + 2. Let h(k) = 50*k - 4. Does 12 divide h(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -226 - -3069. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 6*j**3 + 12*j + 52. Let a(k) = -3*k**3 - 6*k - 26. Let f(p) = 13*a(p) + 6*v(p). Differentiate f(x) with respect to x.\nAnswer: -9*x**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/14*-2 + -2. Let o = w + 289\/14. What is the common denominator of -15\/4 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/3411 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 32 = -5*u, 5*g + 5*u + 52 = 6*g. Does 19 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*q - 4*q + 180. Calculate the common denominator of 19\/8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 3*k. Let m be n(2). Suppose -2*b + 14 = m*s, -3*s + 20 = s. Suppose 62 = 2*g + b*v, -31 - 78 = -4*g + v. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/6 + 11\/(-3). Let q be (-64)\/g + 2\/(-6). Suppose -f + 4*f - q = -2*x, -3*x = 5*f - 35. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fdvnmwnm. What is prob of picking 1 w, 2 m, and 1 f?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - 5 - 0 - 4. Let i = n + 10. Calculate the remainder when 7 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -8*o**3 - 1332290*o**2 - 55467479356*o + 97072169054 = 0.\nAnswer: -83269, 7\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p - 16*p - 6*p - 16*p as b + f*p and give f.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4829 + 4830. Let d(z) = z - 2. Let n(v) be the first derivative of -v + 5. Give u*d(s) - 2*n(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7992, -15985, -23978, -31971, -39964, -47957?\n\"Answer: -7993*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 5 - 1 + 1 - 2 + 3 + (1 - 3 + 1)*(1 + 0 - 3))*(1 + 0 - 2)*(-2*h**2 - 3 + 5*h**2 - h**2).\nAnswer: -34*h**2 + 51","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 71, 82, 95?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1091 - 1093. Which is the nearest to -0.3? (a) p (b) -0.08 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -334 + 333.9. Let j = 5 - 7. Sort j, -0.5, z in ascending order.\nAnswer: j, -0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12, 9, 0, -21, -60, -123, -216?\n\"Answer: -s**3 + 3*s**2 - 5*s + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -9*r + 121. Let b be u(13). Let v(n) = 19*n + 1. Let m be v(4). Suppose 2*o + 3*w = m, w - 5 = -b*w. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4428600 rounded to the nearest one hundred thousand?\nAnswer: -4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3003350 is divided by 497?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is -1542558 (base 10) in base 4?\nAnswer: -11320212132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -14567892 times 13\nAnswer: -189382596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q + 23. Let r be (-4)\/(-6)*(0 + -3). Let g(o) = 3*o**2 + 2*o + 3. Let v be g(r). List the prime factors of k(v).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 21, 25, 25, 15, -11, -59, -135?\n\"Answer: -v**3 + 4*v**2 - v + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 0 - 10, 3*f - 2*x = -16. Let o(d) = 3*d**2 + 3*d. Let l be o(f). Suppose -3*q = -q - l. Solve -a + q = 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41 divided by -3\nAnswer: -41\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 203515009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*f + 5 = o, 4*f + 1 = o. Let y(t) = -o - 1 + 3. Let c(u) = -2*u + 7. Suppose -5*a + q + 7 = 0, 3*a + 2*a - 3 = -q. Determine a*c(v) - 6*y(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, -17, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53*f**5*v**2 - 17*f**4*v**2 - 15*f*v**2 - f*v + 15*f wrt f.\nAnswer: 1060*f**3*v**2 - 204*f**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 2*g - 5, -52*b + 48*b + 2*g + 10 = 0. Let k = -218899\/11 - -19925. Let d = -3566\/143 + k. What is the third biggest value in b, d, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**6*u*u)**31 assuming u is positive.\nAnswer: u**310","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o**2 + 23418 - 23418.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6417)\/(-8 + 5)*1. Suppose 431 = t + j, 12*t - 17*t = -3*j - p. Is t a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 5 = k. Let d be ((-6)\/10)\/(2\/(-70)). Let p = d - k. What is the least common multiple of 16 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 h when three letters picked without replacement from {w: 1, n: 5, z: 1, h: 4, f: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, x: 2, p: 5, q: 5}. What is prob of sequence pxpx?\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14\/11 - -64\/33. Suppose k = -1 + 2. What is the nearest to w in -1, k, -0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 3307 = 20*z + 74*z - 878 for z.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3548 divided by 1774\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 0*f - 12 = 4*w, -4*w = 4*f + 12. Put f, 1, -5, -1 in increasing order.\nAnswer: -5, -1, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1, 3, 9, -7 in ascending order.\nAnswer: -7, -1, 3, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -513310 to the nearest ten thousand.\nAnswer: -510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 82\/64 + (-75)\/60. Let b(r) be the first derivative of -7 + 1\/16*r**2 - 1\/4*r - k*r**4 + 1\/12*r**3. What is o in b(o) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1840915793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**3 - 17451*q**2 - 34905*q - 17453 = 0.\nAnswer: -1, 17453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -108197.72775 rounded to the nearest one thousand?\nAnswer: -108000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 2:31 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u - 10. Let t be r(5). Let b(l) = -2*l**3 - 13*l**2 + 17*l + 7. Let z(k) = k**3 + 7*k**2 - 9*k - 3. Let a(x) = 3*b(x) + 5*z(x). Give a(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssisscppshcsfscsis. Give prob of sequence hsc.\nAnswer: 3\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01 - 0.33923.\nAnswer: -0.34923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 64735 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (78\/6 - 11)*6\/((-24)\/(-37))*-2?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(-4 + 9) + -2. Suppose 3*y - 90 = 2*y. Suppose -b + 5*b = 2*d + y, 2*b + d = 51. Solve -l = -5*j - b, 3 = g*l + 2*j - 1 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1836 * 378.5\nAnswer: -694926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 511 - 6 - (12 + -8). Let g = r - 313. List the prime factors of g.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 5, c: 1, b: 1, q: 3}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -25. Let m be (873\/27)\/(1\/3). Suppose m = -3*g + 286. Calculate the greatest common factor of g and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-23)\/(-46))\/((-30)\/916). Let y = -47\/3 - g. Which is the second smallest value? (a) 6 (b) -0.2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -15*p + 19. What is the units digit of g(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4956 + 721*z**2 + 4944 + 740*z**2 - 1182*z**3 - 564*z + 297*z**4 = 0. What is z?\nAnswer: -2\/99, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 12:51 AM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 319539 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 4 + 2)*(-4 + 1 + 2 + (-11 + 2 - 3)*(-1 + 2 + 1))*(-7*d**2 + 3*d**2 + 17*d**2) to c + f*d**2 + u*d and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 37126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 11*v + 3. Let r be g(10). Let d be r\/4 + 6\/8. What is the second smallest value in d, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.4879299 to two decimal places.\nAnswer: -3.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q + 20*q = 18*q + 80 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(350)*3 - -1*sqrt(224))\/(-6*sqrt(1008)*-4) + 1)**2.\nAnswer: -19*sqrt(2)\/72 + 166249\/41472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 144.7768ng in tonnes?\nAnswer: 0.0000000000001447768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 4. Let s = -1.5 - p. Let y be (-2)\/3 + 22\/6. Which is the closest to 0.2? (a) -4 (b) s (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 255*g + 91. Let p(y) = -510*y - 211. What is -9*l(h) - 4*p(h)?\nAnswer: -255*h + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(99) + -5*sqrt(99))*-1*-4)\/((sqrt(36) + 1*sqrt(1764) - sqrt(36))\/((sqrt(4) + (sqrt(8)\/sqrt(2) - sqrt(4)))*2)))**2.\nAnswer: 405504\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 u when two letters picked without replacement from {u: 3, r: 3, h: 4, e: 4}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**2*p**2*z**2 - m**2*p**2*z - 22*m**2*p*z**2 - 577*m**2*z + 3*m*z**2 - 2*p**2 wrt z.\nAnswer: 2*m**2*p**2 - 44*m**2*p + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -430*x + 52 = -417*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, s: 1, p: 2, f: 10, d: 3}. What is prob of picking 1 r, 1 s, and 1 f?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-376*s - 2*s**2 + 376*s - 8*s**4)*(1 + 0 + 1 + (-1 + 2 + 0)*(-2 + 0 + 0) + 4 + 24 - 47) in the form p + v*s**2 + f*s**4 + j*s**3 + b*s and give v.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 7 (b) -0.2 (c) -14 (d) 6 (e) -1.2 (f) -36 (g) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*x - 104 = 10*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 11:36 AM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + 2 + 0 + 4. Let d be -18 + -1*3\/r. Let z = d + 33. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 385 and 455.\nAnswer: 5005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**5 + 13*f**4 - 42*f**3 + 58*f**2 - 37*f + 9.\nAnswer: -(f - 9)*(f - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -1\/4*v**4 - 1\/9*v**3 + 0*v - 1\/5*v**5 - 1\/18*v**6 + 2 + 0*v**2. Find g such that p(g) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 185761*f - 1486158. Give m(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59047726.\nAnswer: 2, 131, 225373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**5\/5 - 64*h**3\/5 - 152*h**2\/5 - 132*h\/5 - 8 = 0. What is h?\nAnswer: -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1001, 2098, 3183, 4250, 5293, 6306, 7283, 8218?\n\"Answer: -d**3 + 1104*d - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*x - 6*x. Suppose 2*a + x = 4. Suppose 2*y + 3*u = 100, u = a*y + y - 150. Is y a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 6 + 18. What is the greatest common divisor of 3 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7058473+-0.5\nAnswer: -7058473.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/40 of a tonne?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 6*r = -4*s + 6899, 2*r + 5*s = 4604. Suppose -394 - r = -9*n. Suppose -i = -710 + n. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9888 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -231 + 296. Let w = -190 - -119. Let g = -65 - w. Calculate the remainder when h is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6291090.2 rounded to the nearest one thousand?\nAnswer: 6291000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d. Let w(i) = -89245*i. What is w(r(g))?\nAnswer: 267735*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -13*u**2. Let m(b) = 7 - b**2 - 7. Calculate k(m(h)).\nAnswer: -13*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 990*m**6 + m**5 + 1172*m**2.\nAnswer: 118800*m**3 + 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -59211174 less than -59211173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**2. Let h(c) = -7*c**2 + 6*c + 6. Let o(g) = 13*g**2 - 11*g - 11. Let q(i) = 11*h(i) + 6*o(i). Determine b(q(m)).\nAnswer: -2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4748 - 5*s + 9*s + 2342 + 2406.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78.00000124 + -78. What is u rounded to seven dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.05, -2\/5949, 52\/15?\nAnswer: -2\/5949","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**3 - 2 + 29*k**4 + 64*k**2 + 0*k**3 - 53*k**4 + 23*k**4 to g*k**4 + i*k**3 + q*k**2 + y*k + l and give q.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 11:50 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 494*x - 54*x - 7040 = 0 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*a**2 - 96*a + 36*a - 84*a**2 - 77*a wrt a?\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o**3 - 5*o**2 + 2*o + 1. Let w be l(3). Let k = -15 + w. Suppose -10*p + 6*p = -k. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/8112 and 59\/33.\nAnswer: 89232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p + 2*p**4 - 2*p + (p**3 + p**3 + 0*p**3)*(-11*p - 14 + 14) + 0*p**4 + p**4 + p**4 + 2*p**4 - 2*p**4 + p**4 + 2*p**3 - 2*p**3 + 2*p**4.\nAnswer: -15*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6410 - -4516. Let v = k - -37911\/20. Find the common denominator of v and (36 + 37488\/(-768))\/((-15)\/12).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/28*-11 - 3)\/(-2).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o. Let s(y) be the third derivative of 11*y**7\/2520 - y**4\/6 - 6*y**2. Let p(d) be the second derivative of s(d). What is n(p(t))?\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*x - 81 = 0. Let w = x - -5. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + -3 + (-99)\/(-15). Let j = 1\/2 + -1\/6. What is the closest to j in b, -1, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((3\/(-92))\/(6\/(-4))). What is the greatest common factor of u and 230?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 14*z - 21. Let p be g(-12). Suppose 0 = p*x - 0*x - 60. Solve -x = d + 3*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2592743?\nAnswer: 317, 8179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q. Let k(y) = -217*y**2 + 46. Calculate k(f(c)).\nAnswer: -1953*c**2 + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 8*f - 6. Let w(z) = 3*z - 2. Let r(c) = -4*p(c) + 11*w(c). Let o = -11 + 15. Let x be (-3)\/(-12) + 19\/o. Determine r(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - p - 503 = -501, 5*p + 34 = 3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 4*t**2 + 6*t + 12. Let w(o) = 2*o**3 - 9*o**2 + 11*o + 23. Let l(d) = -5*u(d) + 3*w(d). Let n be l(6). Is 3\/n*-3 - -133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 1\/4, 10, 2\/5, -12.503?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2122593 divided by -192963?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/561 at most -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 10 - (-94 + (-73 - -154)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 12:29 AM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -4*r**4\/9 + 16*r**3\/9 + 44*r**2\/9 - 40*r\/3 = 0?\nAnswer: -3, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*h = -689 - 1126 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.43708 rounded to 3 decimal places?\nAnswer: 0.437","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 13*g + 14. Let j be k(12). Let y(s) = -7*s + 2 - 6 + 3 - s**j. Let q be y(-5). What is the highest common factor of q and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 16956.906us?\nAnswer: 0.0002826151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 11. Let u = y + 15. Is 2*9\/u*227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -153.7, -5, -0.02, 6, -7 in decreasing order.\nAnswer: 6, -0.02, -5, -7, -153.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22.7117 - 0.0117. Let h = -23 + i. Let o = -63 - -249\/4. Sort o, 2, h in decreasing order.\nAnswer: 2, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48453, 51433, 56399, 63351, 72289, 83213?\nAnswer: 96123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (5 - 24) - (0 - -5) - (195 - 114)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 837892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 0*n = 5*p - 7, -13 = p - 3*n for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -160*q + 158*q - 66, -18 = 3*t. Let c(r) = -36*r**2 - 24. Let s(g) = 7*g**2 + 5. Give q*s(l) - 5*c(l).\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28939, -28948, -28971, -29014, -29083, -29184, -29323, -29506?\nAnswer: -29739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.28 - -0.28. Sort h, 4, 1, 2\/9.\nAnswer: h, 2\/9, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.720774 micrometers to nanometers.\nAnswer: 5720.774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 50*m*z**3 - 491845*m*z - 3*m - 2*z**3 - 228574646*z**2 - 1 wrt m.\nAnswer: 50*z**3 - 491845*z - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 144591 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d + 20. Let r be h(-8). What is the third biggest value in r, 1\/6, 2\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69 = -5*u + 4*m - 0*m, u - 893*m = -894*m + 15 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**2 - 2241570*k + 35865632 = 0.\nAnswer: -1120801, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6 + 102 + 0 + 3. What is the least common multiple of (-2)\/3*d\/(-6) and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 63873765 + -63873765.33200213. Let w = i + 0.332. Round w to seven decimal places.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -5*n**2 - 6. Let q(x) = 5*x + 254. Let y be q(-51). Let l(f) = f**2 + 1. Let z(m) = y*t(m) - 6*l(m). Let k(c) = -1 + 0 + 1 + 32*c**2. Give z(k(v)).\nAnswer: -1024*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 3, e: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 9*b**3 + 5*b**2 + 9*b + 1. Let r(o) = 13*o**3 + 7*o**2 + 13*o + 2. Let p(j) = 5*r(j) - 7*w(j). Determine p(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -831, -1740, -2651, -3564, -4479, -5396, -6315?\n\"Answer: -w**2 - 906*w + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b + 2*g - 4, 0*b + b + 4 = -3*g for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1578927041?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -30 divided by 46\nAnswer: -15\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*b = 9, 0 = 4*f + b - 28 + 7. Let w = f - 0. Let n = 2 - -3. Solve -w*r = 2*y + 22, n*r - y = r - 13 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 535244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 899664861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-3)\/(-20)*14220\/(-1185)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 756599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y - 1. Let r(n) = 2*n**2 - 9*n + 5. Let u(c) = -c**2 + 8*c - 4. Let w(t) = 3*r(t) + 4*u(t). Give -3*d(v) + w(v).\nAnswer: 2*v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 2*j - 13. Determine s(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 334 * -0.1\nAnswer: -33.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 120754, 120755, 120756?\n\"Answer: d + 120753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -8*j - 8*p + 7*p, -j - 6 = -2*p for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3815590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -8440 != -11430?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 457, -2, 1 in descending order.\nAnswer: 457, 5, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 45*u - 434. Determine o(13).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -7204129.7 to the nearest one thousand.\nAnswer: -7204000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010001100 + 1110110111?\nAnswer: 100101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38426, 76851, 115278, 153707, 192138?\nAnswer: 230571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 383, 380, 377, 374, 371?\nAnswer: 368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 335, 631, 925, 1217, 1507, 1795, 2081?\nAnswer: 2365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((5*sqrt(99)*-4 - sqrt(99)) + sqrt(99))*-2)\/(-1*4*(5*sqrt(1296) - sqrt(1296))).\nAnswer: 5*sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*i**3*q*r - i**3*q + 195*i**3*r - i**2*q*r - 2*i**2 - 3*i*q*r + 14*i*r + 5*q*r wrt i.\nAnswer: 66*q*r - 6*q + 1170*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 3*z = 0, 0 = -x - 5*z - 5. Which is the nearest to -1? (a) 4 (b) -5\/6 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -2*f - 15, 0 = 2*f - 6*r + 2*r - 12. Let l(s) be the first derivative of s**4\/4 - s**3\/3 + 18*s - 1. What is l(f)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**3 + 78*f**2 - 249*f + 126. Let h be t(-42). Let 0*i - 3\/5*i**5 - 12\/5*i**4 + h - 6\/5*i**2 - 3*i**3 = 0. Calculate i.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, 0.5, 3\/5, -59?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 10*s**2 - 5*s - 11. Suppose 4*l = l + 27. What is the tens digit of h(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -403 - -1?\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by -1.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2286092*z - 2286217*z + 1 - 1.\nAnswer: -125*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-76)\/190 - 13017\/(-5).\nAnswer: 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 7*l - 140. Suppose 2*k = 794 - l. Let y = -237 + k. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.08 + 2.48. Let u = 1 + y. Let t = 3 - u. Is t > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3 + 5*o + 0*o + 0 - 6*o. What is b(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3637064722 to the power of 1\/3, to the nearest integer?\nAnswer: 1538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -321261\/56 + 5737. Let o = r + 3\/56. Factor -o*h**3 + 0 - 3\/4*h**2 - 1\/2*h.\nAnswer: -h*(h + 1)*(h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 0.2, 0.032, 0.1, 2\/7 in ascending order.\nAnswer: 0.032, 0.1, 0.2, 2\/7, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 75992169559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**3\/19 + 896*x**2\/19 - 76358*x\/19 - 77256\/19 = 0.\nAnswer: -1, 116, 333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 220 and 990?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -j**4\/16 - 31*j**3\/8 - 87*j**2\/4 - 37*j + 156. Let q(o) be the first derivative of p(o). Suppose q(a) = 0. What is a?\nAnswer: -29, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 217.41 and -271?\nAnswer: 488.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + l = 11, -3*d + 2659*l = 2655*l + 19 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -654 + 644. Let w(g) = -g - 1. Let a be w(-1). Which is bigger: u or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cckcccccckckcqc. Give prob of picking 1 c and 1 k.\nAnswer: 11\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 - -10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 126\/(-210) + (-33084)\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 6*p**2 - 3*p + 1. Suppose -5*w = 5*a - 410, -5*w - a + 0*a = -414. Suppose -g - 10 + w = 0. What is the remainder when g is divided by b(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*w**3\/7 - 2*w**2\/7.\nAnswer: 2*w**2*(4*w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n = 2*g + 136, 809*n = 807*n + 4*g - 36 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**3 + 6*d**2 + 3*d + 4. Let u be -3 + -3 + 4 + -2. Let f be l(u). List the prime factors of f\/(-6) + (-3)\/9.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, i: 4, z: 3}. What is prob of sequence nz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 110 - 109.997386. Round j to four dps.\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvskvvsntvvvwsvnv. What is prob of picking 1 v and 2 s?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/6 (b) 7 (c) 0 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 74 + -249. Round o to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000409346 rounded to seven dps?\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -40 + 36. Let n be 2 + (1 - 2) - 2. Let r be (6\/10)\/(n\/(-5)). Sort 4, r, b.\nAnswer: b, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of 0*t**3 - 15*t**2 - 1\/540*t**6 + 0*t**4 + 1\/270*t**5 + 0*t + 0. Determine k so that a(k) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.075411162 rounded to 3 decimal places?\nAnswer: 0.075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003657839 rounded to 5 decimal places?\nAnswer: -0.00366","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15751752)\/(-84) + 15 + 4*(-3)\/14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(10 - 6*c - 10)*(2*c - c**3 - 2*c).\nAnswer: -6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -53876324 divided by -4?\nAnswer: 13469081","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 527325671 to the nearest integer?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 461, 893, 1327, 1763?\n\"Answer: n**2 + 429*n + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 0 + 1 - 8*t - t**2 - 4. Let n be r(-7). Solve -n*f + f = -9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 8*q**2 - 15*q - 49. What is w(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 16*s + 4. Let k be r(-16). Suppose 8*y + k*n = 6*y + 1638, -3*n = 6. Is y a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of f**4\/12 + f**2. Suppose -2*b - 6 = 5*i - 0*b, 2*b - 4 = 0. Let q(n) = -n. Let v be (3\/2)\/(9\/(-12)). What is i*k(m) + v*q(m)?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 4) in base 3?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*r**4 + 9119*r**3 - 2*r**2 + 6*r + 1978588.\nAnswer: 20*r**3 + 27357*r**2 - 4*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 7:29 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/288 and 35\/144.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -1, -0.3, -2\/29?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0 = 2. Suppose l = -5*q - 18, -8 = l + 5*q - 2*q. Let f(g) = -l*g**2 + 15*g**2 - 7*g**2. What is f(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71526\/319 > 224?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)\/(sqrt(490)*3))\/((sqrt(72) + sqrt(72)*1)*-5).\nAnswer: -sqrt(2)\/630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3 + 12 - s**2 - 44 - 14*s. What is the least common multiple of p(-9) and 23?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r - 1. Let t be y(-3). Suppose o - 1 = 2*m - 2, -35 = -5*m - 4*o. Find the third derivative of 3*s**3 - 3*s**2 + s**t - 2*s**m wrt s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/2 in 0.4, 0.3, -15, 4, -2541\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 68 + -74. Let b be 22\/99*(-9)\/t. Put -14, b, 0.6 in increasing order.\nAnswer: -14, b, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.02 + 0.22. Suppose 3*k + 4*t - 9 = 0, 0*k - 2*k + 5*t = -6. Suppose -z - 2 + k = 0. Put -0.5, z, i in ascending order.\nAnswer: -0.5, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 20*v**2 + 19*v - 39. Determine r(-21).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -127 or -131?\nAnswer: -131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.7 and 0.36599.\nAnswer: -1.720153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 794 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l - 35. Suppose -3*r + 6 = -2*s - 42, 3*s + 81 = 5*r. What are the prime factors of k(r)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 r, and 1 m when three letters picked without replacement from {i: 5, m: 1, j: 1, b: 1, e: 1, r: 5}.\nAnswer: 25\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*j - 55296 = 9*j. What is the units digit of (0 + 1)\/(5 - j\/308)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -4*f + 192, -5*h + 3*f + 168 = -f. What is the remainder when (-8)\/h - ((-173)\/9 + 3) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - m + 1. Let n(i) = -2*i**2 + 3. Let k(q) = -q**2 + q. Let a(h) = 3*k(h) - n(h). What is -a(z) - 3*c(z)?\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 o when three letters picked without replacement from ccccoocomccm?\nAnswer: 63\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/9)\/(-2 - 0). Let w(y) = -y**3 + y**2 - 2*y + 5. Let k be w(q). Suppose -420 = -k*r + 385. List the prime factors of r.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - -3 - -4)\/2. Suppose 19 = i*k - 5. What are the prime factors of (-4)\/1 + k\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -2*b - 5*t, 0 = 4*b - 4*t - 28. Suppose 4*f - b*i + 2 = 0, -3*f = -0*f + 3*i - 12. Let l(h) = 7 - 49*h + 97*h + 2*h**3 - 4 - 52*h. What is l(f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 291 + -500. Let p = -174 - g. Is p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 6*q**2 + 4*q. Suppose 5*j = 15, -2*j + 2 = 2*l - 12. What is d(l)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19116*w - 224 = 19060*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7716 and 9002.\nAnswer: 54012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*p**2 - 2*p**2 + 7*p**2 + 3 - 3 - 2*p**2 + (-5*p - 51 + 51)*(2*p - 3 + 3))*(0*p + 2*p + p) + (-2*p + 2*p**3 + 2*p)*(1 + 4 - 3).\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/18 and -83\/186?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.10741*0.1.\nAnswer: -0.010741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of 0*j + 0*j**6 + 25\/336*j**8 + 0*j**3 + 0*j**7 - 16*j**2 + 0*j**4 + 11\/60*j**5 + 0. Find the third derivative of t(o) wrt o.\nAnswer: 1500*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*v**2 - 30*v**2 + 24*v**2.\nAnswer: 107*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 4\/381 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -106872 and 5.\nAnswer: -106867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 4. Suppose 2*t - 14 - 8 = 0. Let n(v) = 6*v**3 - 20. Let g(a) = t*q(a) - 2*n(a). Differentiate g(b) wrt b.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 8:11 PM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 956198 or 956196?\nAnswer: 956196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3917299.\nAnswer: 1877, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 + (-171)\/(-18))\/(70\/532)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 6:51 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -74*b + 17183 + 53395 + 106134. What is the highest common divisor of 12 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 5*f - 4*t, -32 = -f - 5*t + 9*t. Let b be f\/(-35) - 312\/(-56). Solve s + 9 = 3*n - 2*s, -n = -5*s + b for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, c: 3}. Give prob of picking 2 o.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s\/(s\/(s\/(s\/(s\/s**(2\/19)*s*s)))))\/s*s)**(-25))**(-32) assuming s is positive.\nAnswer: s**(59200\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzd when three letters picked without replacement from {d: 5, s: 3, z: 2, u: 5}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 130*k - 27. What is p(9)?\nAnswer: 414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*h + 3*h. Let t = 27 + h. List the prime factors of t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/45 in -0.4, -3\/8, 1\/4, -2\/9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by -663373\nAnswer: -19\/663373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 6*d = 400. Suppose -21*l + 23 = -d. Solve -l*r = -2*w - 18, -2*r + w + 2*w = -17 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 43345\/3 (c) 262\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 719935545, 719935546, 719935547, 719935548?\nAnswer: 719935549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 equal to -252\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, z: 1, n: 2}. What is prob of sequence nqnz?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and -0.04710001.\nAnswer: 0.35289999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.39212 litres in millilitres?\nAnswer: 4392.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 11 = -17. Let f = 7 - -5. Let t = f + p. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*w + 20*w + w)*(2*w - 4*w - w + (-4 + 2 - 3)*(4*w - 2*w - 4*w) + w + w + 6*w) in the form h*w**2 + j + x*w and give h.\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 1.998. Let q = 0.161 + k. Let m = -0.162913 + q. Round m to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2613.\nAnswer: 3, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 395673677?\nAnswer: 7, 31, 260483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/11749 and -34\/379.\nAnswer: 11749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - (33 - ((108 - -2) + -33))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 100 - -24\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1164 at least 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 5:41 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - (-3 - 3 - -1). What are the prime factors of 1407\/d - (2 + (-8)\/5)?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -18798, -18805, -18816, -18831, -18850, -18873?\n\"Answer: -2*l**2 - l - 18795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence im when two letters picked without replacement from iimi?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.3 + -1.3. Let r = k + -8. Let d = -0.05 + 2.05. Which is smaller: d or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1166 and 2438?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1440 and 9000.\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of 4\/3*m**3 + 15*m + 0 - 9*m**2. Is 29 a factor of x(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*s**4 + 143*s**3 + 74*s**2 + 47*s wrt s?\nAnswer: 552*s + 858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 9 = 5*c. Let b(v) = -v**3 - 5*v**2 + 2*v - 4. Let t be b(-4). Let j = t + 31. Solve -j = c*i + 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18749, -75180, -169237, -300926, -470253?\nAnswer: -677224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 594503.\nAnswer: 7, 13, 47, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*z - 14*z + 420. Let n(a) = 61134 - 61134 + z*a**2. Let i(d) = 2*d**2. Determine n(i(o)).\nAnswer: 240*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/210*14\/18.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -12*w + 4. Let d(y) = y - 1. Let x(b) = 4*d(b) + r(b). Let g(m) be the second derivative of -13*m**3\/6 + 4706*m - 2. Calculate x(g(z)).\nAnswer: 104*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.179761649 to 3 decimal places.\nAnswer: 2.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28437 + 14136. What is x rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/6*-7*29268\/(-5691).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 4*y + 3*y + 28, 0 = -y + 4. What is the least common multiple of ((-16)\/(-10))\/(20\/450) and q?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -11 - v - 1\/3*v**3 + 0*v**2. Let m(j) = -3*j**2. Give p(m(c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffujuufkmmffh. What is prob of picking 1 k and 1 m?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*t**3 - 47*t + 47*t.\nAnswer: 62*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, s: 1, t: 1, h: 1, k: 1}. What is prob of picking 1 t and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m - 4*i - 7, -4*i - 47 + 46 = 5*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(2\/11)\/g))**(-6)*(g*g**(-9\/5))\/(g\/(g\/(g\/g**(1\/19)))))**46 assuming g is positive.\nAnswer: g**(-608396\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8991943447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -56.419656 rounded to two decimal places?\nAnswer: -56.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 13\/91 + (-26)\/(-14). Solve 2*y - 16 = 3*o, -6 = -2*y - j*o - 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((4 - (-150)\/(-36)) + (-11)\/66)*24\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5782, 29 in descending order.\nAnswer: 5782, 29, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from tkkiikieiivekik.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 765*d - 344 = 1541*d - 819*d for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -2*r - i - 79, -r + 4*i - 26 = 0. Is r smaller than -75\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3938 or -60?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2387 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-65021378.\nAnswer: -260085512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -482 - -300. Let i = v - -176. Let p(f) = f. Determine p(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -157*m**4 + 450*m**3 - 2*m**2 - 574883*m wrt m.\nAnswer: -1884*m**2 + 2700*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*r = -38*r + 860412. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5 (b) 3\/7 (c) -1 (d) -7 (e) -6\/7 (f) -4 (g) -125\/149\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 4. Let q be (f - -18)\/(-1 - -2). Let c = q - 10. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and -0.679374?\nAnswer: -4.076244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 + 12\/(1 - -2) and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, x: 1, k: 8, n: 4}. Give prob of sequence ix.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 310 and 1395.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(16\/(-92)) - -3. Let y = 15 - x. Let r = -67\/17 - -386\/85. Which is the nearest to y? (a) -1 (b) -0.1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7948, 31615, 70996, 126091, 196900?\nAnswer: 283423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 44*h + 1360. Let w be r(-26). Solve 36*y - 72 + w = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 531027 is divided by 17698.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 91 and 1690.\nAnswer: 11830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4607*h + 1330 + 71623 = 201185 + 208079 for h.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 775821810 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.6 + -1.1. Let w = 0.4 + s. Is w != 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4603844262?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00932 rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/(4\/(-1))*-1 + 4. Let h be (x - -40)\/((-129)\/(-172)). What is the greatest common divisor of 65 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4*r - 25, a - 51 = 4*r. What is the remainder when 623 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/63*(-5 + (9 - 1))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 214b47 - b9?\nAnswer: 214a4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94223 is divided by 305.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7410 divided by -3.\nAnswer: 2470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -2 - (2 + -4 - -7) - 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10531?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -806.173789 - -806.13. Round b to 4 dps.\nAnswer: -0.0438","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -23*x + 34. Let n(t) = -7*t + 0*t - 47 - t + 59. Let h(o) = 17*n(o) - 6*s(o). Let u(m) = m - 39. What is h(u(v))?\nAnswer: 2*v - 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 11:42 PM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30979 + 9931*r - 30979.\nAnswer: 9931*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-0.482\nAnswer: -0.1446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 55099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 1. Solve 0 = 5*v - 15, n = -q - 3*v + 18 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 6 = 2*u + 2, 0 = 5*z. Suppose 5 = 3*m + 65. Let w be (-15)\/m*(0 - -4). Solve -w*i = -u*i - 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i + 11. Let x be p(-11). Let r(a) = 2*a**3 + 20*a**2 + 4*a + 20. Let u be r(-10). Let y = x - u. Let k(h) = 2*h**2 + 2*h + 3. Determine k(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 12, 2, 0.1, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(-1)*(105\/(-10))\/(-7). What is the remainder when 181 is divided by (-9)\/(-12) + (-303)\/p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 1 = -42*u + 40*u, -5*u + 4*y = 17 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.99 + -0.01. Let k = -0.27 + 0.57. What is the closest to c in 0.1, 0.2, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -n**3\/3 - 3*n**2 - n - 37. Calculate z(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1153721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, 3, 91, 267, 561, 1003, 1623, 2451?\nAnswer: 3517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 265*h - 67*h + 307*h - 3.\nAnswer: 505*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-215)\/86*(34\/(-30) - -1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2685727*26.\nAnswer: 69828902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l**2 + 7*l**2 - 3*l**2)*(3452 - 28*l + 1241*l - 3452) in the form f*l**3 + r*l**2 + k*l + b and give f.\nAnswer: 2426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -4*n + 12, 4*n - j = -2*j + 14. Suppose -t = 4*c - 311, -n*c = -5*t - 147 - 194. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-7) + 2 + 10\/(-35). Let a(l) be the second derivative of -2\/3*l**3 + 0 + 1\/2*l**t - 3*l - 1\/6*l**4. What is a(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -3*s**7\/70 - s**6\/10 - s**5\/15 + 4*s**2 + 4. Let j(k) be the second derivative of h(k). Let j(r) = 0. What is r?\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 88?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 7:57 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/178 and 17\/322?\nAnswer: 28658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/2)*v\/v**(1\/7)*(v**(-1))**(-37))**(-11) assuming v is positive.\nAnswer: v**(-6061\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 0*i + 5*i**3)*(484*i**2 + 84087 - 84087).\nAnswer: 2420*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2152820 or -2152862?\nAnswer: -2152862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -1275 + 1275 - 102*q as r + z*q and give z.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-2))\/((-12)\/(-88)). Solve 0 = 2*p + 5 - w for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5714 or 5738?\nAnswer: 5714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 162174, 1297382, 4378664, 10379058, 20271602?\nAnswer: 35029334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -2. Let c = -2903 - -20325\/7. Sort c, -0.5, 3, n in descending order.\nAnswer: 3, n, c, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4829.34 decades to months.\nAnswer: 579520.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2495, -2470, -2425, -2354, -2251, -2110, -1925, -1690?\nAnswer: -1399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -170*r**2 - r. Let n(x) = -13*x. Calculate n(b(i)).\nAnswer: 2210*i**2 + 13*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5204.5 - -5204. What is the second biggest value in 591, g, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 713225 and 19975.\nAnswer: 1175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-18) + 176\/18. Let m be ((-20)\/i)\/((-6)\/4). Which is the third biggest value? (a) 0.4 (b) m (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -2, 3, 11, -195.\nAnswer: -195, -5, -2, -1, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (3 - 5) - -43. Let d be ((-58)\/(-5) + -8)*95. Let k be v\/d - (-42)\/(-189). Is -1 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1000 - 996. Let t be (-12358)\/(-6532) + (-1 - 1). Let n = t - -3\/142. What is the nearest to 2\/9 in n, h, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16 - 17)*(-3)\/(-1). Let c be (24\/(-126))\/(2\/n). Factor 2\/7*a**2 + c*a**5 + 16\/7*a + 8\/7 - 10\/7*a**3 - 2\/7*a**4.\nAnswer: 2*(a - 2)**2*(a + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 125 + -76. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59218, -0.2, 3.\nAnswer: -0.2, 3, 59218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*p - 1372 = 95*p - 14*p for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 6:55 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-3*(3 + -3*((-5*sqrt(91) + sqrt(91))*-5)\/((sqrt(245)\/sqrt(7))\/sqrt(5))).\nAnswer: -9 + 180*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-312)\/(-57200)*110)\/((-297)\/(-10))?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and 171.\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*t - 88*t**2 - 88*t + 22 + 3*t + 3.\nAnswer: -88*t**2 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19618 + 19625. Solve 5*z = k - 13, n*z = 6*z + 5*k - 17 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (49*a - 17*a + 35*a)*(3 + 0 - 2 - 4) to the form j*a + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -365*p + 2. Let b be h(-1). Let d be (-36)\/28*(-2)\/6*b. Let q = 157 - d. Put 0.4, q, -0.3 in increasing order.\nAnswer: -0.3, q, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**4 - 15*u**3 + 192*u**2 + 420*u.\nAnswer: -3*u*(u - 7)*(u + 2)*(u + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -233\/6 + 79\/2. Let r = -1 - 0. Suppose 3*g - 5*g = -g. Which is the nearest to r? (a) g (b) d (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -41825, -87036, -135637, -187628, -243009, -301780, -363941?\n\"Answer: -1695*u**2 - 40126*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 72079175?\nAnswer: 72079175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2392 + 798 + 798 + 373*a**2 - 185*a**2 + 796 - 186*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 168 - 163. Which is the closest to 4? (a) i (b) 2 (c) 12\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6041380?\nAnswer: 2, 5, 47, 6427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.1 (b) -4\/53 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3102 is divided by 82.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 0, 5 in decreasing order.\nAnswer: 5, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.504 times -3.7?\nAnswer: 1.8648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9247 is divided by 137.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1172*l - 1176*l = m + 7, -15*l = 3*m + 36 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, y: 1, j: 4, d: 8}. Give prob of picking 2 d and 2 j.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 3, 1.\nAnswer: -5, -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**3 - 114*p**2 - 1025*p + 112. Calculate n(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312 is divided by 188.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/(-168))\/(12\/(-14)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*w - 8*w + 810 = 0. Suppose w = 2*z - 15. Solve -z = 3*s - 9 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17489 + 286*a**2 - 17489.\nAnswer: 286*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 2*r - 13 = -3*x, -4*r + 3*x - 8 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/61304671?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 6487376 and 33825078.\nAnswer: 40312454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - n. Let z be t(1). Let l be z\/(-2) + (-2)\/(-8). Suppose 0 = -5*c - 20, -3*r - c = -7*r - 8. What is the nearest to l in 1\/4, r, 2\/9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -42*l + 4\/3*l**3 - 9\/2*l**2 + 56. Differentiate f(r) with respect to r.\nAnswer: 8*r - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 166228978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3 = -5. Let r(g) = g + g**n - g - 3 + 3*g. What are the prime factors of r(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -6.0940007\nAnswer: -1.82820021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 6*r - 2*r)*(5*r**2 + 6*r**2 + 2*r**2)*(-2*r**2 - 2*r**2 + 3*r**2).\nAnswer: -65*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + sqrt(3))**2 + -2)*-1*3 - (((sqrt(60)\/sqrt(2))\/sqrt(10))**2 - -3*(sqrt(75) - sqrt(3)))*-5) + 1.\nAnswer: 1 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and -418721.\nAnswer: -418716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*f**3\/4 - 14995*f**2\/2 - 9053681*f\/4 - 8934121 = 0. What is f?\nAnswer: -2989\/5, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11562 = 7*a - 32216. Is a a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -2. Let a = 11 + -5. Let w be 3\/p*16\/a. Solve 3*h - 1 + 2 = -2*r, -2*h - 22 = -w*r for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -28605, -28654, -28699, -28740, -28777, -28810, -28839?\n\"Answer: 2*m**2 - 55*m - 28552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 150281 to the power of 1\/2, to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3)*w)\/(w\/((w\/w**(-4\/5))\/w))*(w*w\/((w\/((w*w*(w\/(w\/((w**(1\/5)*w)\/w)))\/w)\/w))\/w))**(-1\/6) assuming w is positive.\nAnswer: w**(-77\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -3165\nAnswer: -4\/3165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5127 or -5236?\nAnswer: -5127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bll when three letters picked without replacement from llbllllllbllllbl.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**3 - 43*v + 3*v - v**2 - 24*v + 2*v**3 + 7277.\nAnswer: 3*v**3 - v**2 - 64*v + 7277","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 2*b**2 + 8. Let t(p) = 3*p**2 + p. Give u(t(c)).\nAnswer: 12*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 5*a - 4. Let w be x(-4). Suppose -2*t + 5*m + 1794 = -460, 5*m = w. Suppose -4*c + 4019 = 3*o, -2*c + 896 = -3*o - t. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 108 + 116 = 0. Solve -h = 2*g - 2, 2*h = 4*g - j*h + 20 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -g**3\/3 + 16*g. Let j = -6 - -8. Give d(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 + 51. Suppose r = -p + 282. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 43. Let r = 80 + z. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/3357 and 37\/1314.\nAnswer: 490122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12 - 82\/8 - (-1)\/4. Find the second derivative of -27*x**3 + 0*x**3 + 444*x**2 - 5 - 7*x - 443*x**r wrt x.\nAnswer: -162*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 315481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v + 5. Let f be n(5). Suppose 3*j + 17 + 37 = -3*c, f = 4*c + 3*j + 73. Let d = 45 + c. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3022841.\nAnswer: 31, 97511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 6*c**3 + c**2 + c. Suppose -4*n + 43 = -h, 4*h = -4 - 8. Suppose y - n = -11. Give x(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/18422514 and 47\/49302.\nAnswer: 55267542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwtwrvtdtd. What is prob of sequence ddt?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*c**3 + 37*c?\nAnswer: 120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.5901 rounded to 1 dp?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63368036 and 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 820, 836, 844, 838, 812, 760, 676, 554?\n\"Answer: -o**3 + 2*o**2 + 17*o + 802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 113333 + -10?\nAnswer: 113323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of 5*u**2\/2 + 73. Let o(y) = -5*y. Determine a(o(v)).\nAnswer: -25*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 105778 (base 10) to base 16\nAnswer: 19d32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2 - 5) + 4 + 1 - -6) + -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t + 3 + 4*t - 2*t. Let j be l(0). Let o(q) = -j*q**2 + 3*q**2 - 2*q**2. Let m(c) = 2*c**2. Give m(o(x)).\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11255132?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7271 or 7266?\nAnswer: 7271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8328 to the power of 1\/2, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does -23\/5 = -77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 8\/25 of a millennium?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1834)\/(-4585)*(-1)\/(2\/(-10))*80\/(-200)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k - 10*k + 4*k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1 + 17*i**4 + 130*i - 81*i**3 + 6*i**4 - 12*i**4 - 12*i**4 wrt i?\nAnswer: -12*i**2 - 486*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 5*p + 15, 4*p + 5*n - 7 + 19 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1473*a**4*v - 36*a**2 + 3*a*v wrt a?\nAnswer: -35352*a*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zo when two letters picked without replacement from tnozi.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4952*j - 2*h + 21 = 4957*j, -5*h = -3*j - 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4023422 (base 5) to base 2\nAnswer: 1111101011101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -37 (b) 0.4 (c) 0.2 (d) 99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-47)\/(-47)*99\/(-11)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-7)*w*w\/(w*(w*w**(-15))\/w))**(2\/7) assuming w is positive.\nAnswer: w**(18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 1 (b) 0.05 (c) 797279\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36896 and 131220?\nAnswer: 1210373280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yptp when four letters picked without replacement from ytpypyp.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -567503285*k**4 - 2*k**3 + 24*k**2 + 6462*k + 3 wrt k?\nAnswer: -13620078840*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/4068 and -46\/1675677.\nAnswer: 20108124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-6\/5))**18*p**(20\/7)\/p**(-1\/2))**35 assuming p is positive.\nAnswer: p**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 30912.8432 to the nearest 10.\nAnswer: 30910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 10, h: 8, p: 1}. Give prob of picking 4 y.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 69 - 20. Let p = n - 48.3. Let s be ((-3)\/(-9))\/(2\/4). What is the closest to -1 in s, p, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4975 is divided by 4829.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91 and 48964643?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2. Let s(r) = -17*r**2 - 8*r + 98045. What is s(z(b))?\nAnswer: -17*b**4 - 8*b**2 + 98045","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 22. Suppose -7*c + 121 + 75 = g. What is the greatest common factor of c and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tkdxvvkdxxdxvxkdxd. What is prob of sequence xxv?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 33547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -75178000 to the nearest 1000000.\nAnswer: -75000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p - 4*p + 5*p + (-2*p - p + p)*(-2 - 1 + 1) + 0*p + 3*p - 2*p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.2928 + -10.55. Let z = o - -0.0572. Put -5, z, 0.27 in ascending order.\nAnswer: -5, z, 0.27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/1097653?\nAnswer: -1\/1097653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*v - 33*v - 3*g + 25965 = 0, -5*g - 8685 = -2*v. Does 3 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.8 + -3.8. Which is the nearest to 0? (a) 1\/4 (b) -1\/9 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 23365, 93394, 210045, 373270, 583021, 839250?\n\"Answer: -8*a**3 + 23359*a**2 + 8*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 123, 5, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 856\/(-7276) + 556\/102.\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 3*s + 9 = 2*l, 2*s = 4*l - 6. Does 7 divide (-3)\/(-6)*(68 - l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1808 divided by -1592\nAnswer: 226\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 2*y = -10. Suppose 0 = -3*b - 2*d - 3*d - 115, 0 = b + y*d + 55. Is -29 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 i when four letters picked without replacement from {p: 3, q: 2, i: 8, n: 4, b: 2, c: 1}?\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 2 + 48*m**4 + 4*m**3 - 15*m**3 + 2*m**2 + 14*m**4 - 5*m**4 to the form q*m**4 + t*m**2 + h*m + n*m**3 + j and give q.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9401 - -9819.3. Let s = 441 - h. Round s to the nearest integer.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - -5. Let t = s - 23. Let d = t - 1. Solve 0 = h - d + 6 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*v + 1 = 0. Let x(s) = -s. Let j(t) = 7*t - 1. Let r(n) = v*j(n) + 5*x(n). Let p be r(6). Solve 5*k - p + 2 = 3*a, -4*k + 12 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/3 + 4877800*c\/3 + 29266584.\nAnswer: 2*(c + 18)*(c + 2438882)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 19837857?\nAnswer: 5\/19837857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/5 - 591072\/(-1310). Solve 0 = 9*n - 459 + p for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 31932254 and 9.5.\nAnswer: 31932263.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 1:38 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.431 - 0.555. Let o = a + -1.8763012. Round o to 5 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 16. Is v != -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3280547359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of 7*a**5\/20 - 3*a**2\/2 - 6*a + 10. Let t(n) be the first derivative of b(n). Find the first derivative of t(u) wrt u.\nAnswer: 21*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*m - 418*m - 1445 = 4*p - 7*p - 41, m - 4*m - 33 = -2*p for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0305 + -2.4405. Let m = 0.96 - w. What is m rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2466 and 228242.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6599\/4 - -1672. Find the common denominator of -11\/708 and w.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41773005 (base 8) to base 14\nAnswer: 127d2cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -3*l - 2022*q + 2020*q, -9 = -4*l - 3*q for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3\/887 + 40787\/4435. Calculate the common denominator of q and 8\/(-12) + 3 + (-578)\/(-12).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 663\/(-884)*-3*8\/18.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5402839 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 343295 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 922.1466 tonnes in nanograms?\nAnswer: 922146600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 53, -4, -1, 2092 in decreasing order.\nAnswer: 2092, 53, 23, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -55 divided by 4923005\nAnswer: -11\/984601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -13023312122 (base 4) in base 11?\nAnswer: -1077155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/28*-1*(-8)\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j - 3. Let f be i(6). Let d(h) be the third derivative of -1\/6*h**f + 0*h + 0 - 1\/12*h**4 - h**2. Calculate d(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-1)*(-15)\/((-12)\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9.5 + -10. Let f = -2.882 + 2.582. What is the fourth smallest value in f, -2\/7, w, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lt when two letters picked without replacement from lguatal?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -50 and -935\/19 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*z + 56 = 4*f, -4*f + 152 = -2*z. Is f a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-3) - (1 + -2). Suppose -m = -l*m. Solve 2*t + 2*v - 10 = m, -15 = -3*t + 2*v - v for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**4\/3 + 34*j**3\/3 + 214*j**2 + 1646*j\/3 - 2320\/3 = 0.\nAnswer: -8, -5, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**4 - d**4 + d**4 + (0*d**2 + 0*d**2 + d**3)*(0*d + 3*d - 2*d) - 57*d + 57*d + 133*d**4 to l*d**2 + m*d + w + q*d**3 + o*d**4 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 748 - 243 + 97*n - 12*n. Let p be k(-6). Sort 4, p, 27 in increasing order.\nAnswer: p, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57411836, 57411834, 57411832, 57411830, 57411828, 57411826?\nAnswer: 57411824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 152413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12071 - -12071. Let p(d) be the second derivative of o + 1\/15*d**2 + 1\/150*d**5 - 1\/90*d**4 + 23*d - 1\/45*d**3. Let p(z) = 0. What is z?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 13*h + 41. Determine m(-15).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -48, -2, -11 in increasing order.\nAnswer: -48, -11, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -195\/29? (a) 0 (b) 1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 488793?\nAnswer: -488792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 3:32 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of r**4\/3 + 10*r**3 + 28*r**2 - 44*r - 2. Factor x(o).\nAnswer: 4*(o + 1)*(o + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 3)*(-3*s**3 + 6*s**3 - s**3) + 5*s**2 + 5*s**3 + 25 - 25.\nAnswer: -3*s**3 + 5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96 and 7057632.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(11)*2 + 1 + -3*sqrt(99) + -2*((2*sqrt(1100))**2 - (1 + sqrt(44)\/sqrt(4))**2).\nAnswer: -8780 - 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/3 - 0 - -3. Calculate the remainder when 34 is divided by ((-36)\/(-21))\/(w\/14).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/12 - 6\/(-4)) + (-86)\/(-24)\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 334, 1326, 2978, 5296, 8286, 11954, 16306, 21348?\nAnswer: 27086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-52)\/6 + 9)*(-11 - -23)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/4)\/(354\/180 - 2). Suppose -s*j - 576 = -39*j. Calculate the least common multiple of j and 60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272 smaller than -115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1840*o - 3258 = 1659*o for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 84.89 + -85.0399875. Let t = -0.15 - c. What is t rounded to six decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 2*g**5\/5 - 3*g**4\/2 + 2*g**3 - g**2 - 2. Determine p, given that y(p) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, -14, 83, -1.9, -23\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 5*x = -7, -3*x = -34 + 31 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*u**3 - 10*u - 10*u + 36*u - 4*u - 12*u.\nAnswer: 28*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -c - 1. Let t(u) = u**3 + 5*u**2 + 4*u - 5. Let b be t(-4). Is c greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 86 by -43.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vbbvbvbbvvvvv. Give prob of sequence vbbv.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -263 (base 12) to base 11.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 4, -6, -3, 0, -7 in descending order.\nAnswer: 32, 4, 0, -3, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13754 and 897?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4901 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 1012cca?\nAnswer: -1012cca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -4*a**2 - 6*a - 4. Let c(g) = -g**2. Let r(t) = 5*c(t) - q(t). Suppose -3 - 27 = -5*v. Let z be r(v). What is the highest common divisor of 4 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*g - 736 = 3632. Calculate the least common multiple of 864 and g.\nAnswer: 11232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(18)*2 - sqrt(18)) + (sqrt(72) - (sqrt(72) + -3)) + sqrt(72))*1*-3*3)**2.\nAnswer: 10206*sqrt(2) + 72171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-11)\/(s\/((s\/(s**17\/s)*s)\/s*s)))\/(s*s**(-1\/3))**(-8\/7) assuming s is positive.\nAnswer: s**(-530\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -44, -1\/5, 44?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 7*t**3 - 3*t**2. Suppose 0*q - 2*q = 6. Let k(b) = 6*b**3 - 2*b**2. Determine q*r(o) + 4*k(o).\nAnswer: 3*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*n = -8. Let z be 44\/6 - n\/6. Is -2 - z*3*-1 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 times 274829?\nAnswer: -8244.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 783 - 745. Solve -2*t = -10, v - 15 = 4*t - q for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -262904, -525802, -788700, -1051598, -1314496, -1577394?\n\"Answer: -262898*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (11 - 13)*(-3633)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 678674 (base 9) to base 11.\nAnswer: 258542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.12, -4\/5 in decreasing order.\nAnswer: 4, 0.12, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-2\/15))\/s*s**(-3\/2))\/(s\/s**(-7)*s**(-7)) assuming s is positive.\nAnswer: s**(-71\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) - -6*sqrt(70)\/sqrt(2))\/((sqrt(70)*1)\/sqrt(10)))**2 + -3.\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(3 + -2) - 3. Let d = -8 - f. Sort -5, d, -2 in descending order.\nAnswer: -2, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**3\/5 - 7*i**2\/5 + 11*i\/5 - 1 = 0. What is i?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*1*sqrt(27) - (sqrt(27) + sqrt(324)\/sqrt(300)))*5)\/(6*5*(sqrt(324)*-3 - sqrt(324) - sqrt(324) - sqrt(324))).\nAnswer: 11*sqrt(3)\/1080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1232 divide 7658112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -3*b + 117. Is 40 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 8:03 AM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*d**2 - 2 + 2.\nAnswer: 110*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**2 + 10659*o + 12248*o - 24550*o + 0 + 0 - o**2 + (o + 3 - 3)*(o + 0*o + o).\nAnswer: -o**2 - 1643*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of j**4\/24 - j**2. Suppose 1 = 6*x - 7*x, -4*w - 3*x = 7. Calculate d(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k + k = -29*w + 24*w + 32, 5*k - 10 = 0 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*u + 5. Let b be u\/2*2*13. Let m = b + 18. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minus -9?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12947 and 2033?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-12) - (-17)\/(-4). Let a be 1\/v + (-118)\/8. Let y be 3\/a + 1158\/15. Calculate the highest common divisor of y and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a tonne in kilograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b**3 - 5*b**2 - 12*b - 8. Let f be j(-1). Solve 10*x - f*u - 7 = 7*x, -u - 11 = -4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2599 > 73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1486 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3628658 to the power of 1\/3, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 728 + 4*i + 215*i - 1451 + 723 in the form j + c*i and give c.\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 106 + (-26 - -9) + 37.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2505\/90)\/(-167))\/((-1)\/(-6)*-2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, 47, 23?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -5, 9, 19?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1259 - 10*q + 1259)*((-3 + 2 + 3)*(1 - 4 + 1) + 5 - 2 - 1).\nAnswer: 20*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 92 = 5*o - 24, 4*m - 118 = -5*o. Let n = 509 - o. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -41, -101, -193, -311, -449, -601?\n\"Answer: t**3 - 22*t**2 - t - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1895, -1.9, 1987.\nAnswer: -1895, -1.9, 1987","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-56)\/6*-3*2?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1718600011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/5)\/((-11)\/(-55)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-13)\/(-3) + -4)*63. Let s = z + -61\/3. Let m = 0.16 + -0.42. Sort s, -3\/2, m in descending order.\nAnswer: s, m, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(68)\/sqrt(36) - sqrt(119)\/sqrt(63)) - (3 + -3 + ((sqrt(34) + 2*sqrt(34))*-1)\/sqrt(2)).\nAnswer: 2 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a milligram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*h - 27 = -278, v - h - 52 = 0. Let y be -1 - -441 - (-4 + 3). What is the greatest common factor of v and y?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a**2)\/a)\/((a**(-1\/3)\/a)\/a))\/((a\/a**15*a)\/(a**(-1\/7)\/a*a)))**18 assuming a is positive.\nAnswer: a**(2166\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1063 or 985?\nAnswer: 985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 65934 and 81486.\nAnswer: 33164802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-135)\/10 + 4 - ((-63)\/(-2))\/(-21).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + -1*(6*(-4 + sqrt(612) + -1))**2).\nAnswer: -45872 + 4320*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*b + 26972 = 9472. Let z = -547 + b. Calculate the highest common divisor of 68 and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and 717419794.\nAnswer: 717419793.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 6) to base 13\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 13 = -2*g - 0*g, 0 = 5*g + d - 19. Suppose 5*t - 6 = z, 0 = g*t + 2*z - 4*z. Is 14 a factor of 35\/t*(-72)\/(-45)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -307.95 + 307.96. Put 4, -1\/2, 60\/17, b, -0.3 in decreasing order.\nAnswer: 4, 60\/17, b, -0.3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325531 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00025426 rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43015\/24 - 1792. Let q = -19\/24 + t. Is 68 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**4 + 2*i**4 - 3*i**4 + (0*i**2 + i**2 + 0*i**2)*(0*i**2 - 3*i**2 - 3*i**2).\nAnswer: -7*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 2*y + 24, -3*y - 64 = -4*l - 15. What are the prime factors of l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -7*f + 2*f + 756, f = 2*w + 154. Let r(i) = 4*i**3 - 7*i**2 - 4*i - 14. Let t be r(3). Calculate the greatest common divisor of t and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 23?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(4\/5)))\/(h**(-6)\/h))**45*(h*(h*h**1*h)\/h*h**(2\/5))\/(h*h\/h**1)**6 assuming h is positive.\nAnswer: h**(1382\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3237 is divided by 1580?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 45854000 to the nearest one million.\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0681756163 rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 336219 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/3))**(-2\/9)\/((f*f**(-2))\/f**(-4\/13)) assuming f is positive.\nAnswer: f**(217\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 435 - 223. Calculate the highest common divisor of q and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 133716*u. Let s(f) = 16*f. Determine s(r(v)).\nAnswer: 2139456*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + 16. Let c = m - 20. What is the biggest value in c, -0.5, 4\/9, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -20*s**3\/3 + 46. Let b(l) be the second derivative of l**4\/12 + 4*l. Give b(w(j)).\nAnswer: 400*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16275586487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27719543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.0259, -3, -0.2 in descending order.\nAnswer: -0.0259, -0.1, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 l, and 1 a when three letters picked without replacement from affllaafa.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 43516, 174194, 392030, 697024, 1089176, 1568486, 2134954?\n\"Answer: 43579*a**2 - 59*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12002122 (base 3) to base 15.\nAnswer: 117b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33208663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3817 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2 + 10*u + 3. Let p be w(-5). Let l be 1*1*-1 - -3. Suppose -p*m - l*m + 145000 = 0. Round m to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.95 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/44*-11*-31.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*a + 5. Let t be 2\/4 - (-47)\/a. Is 23 <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + -12 - -13 - 0) + 1 + -54.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 32 = -g - 5*q, -5*g - 2*q = 206. Find the common denominator of -2 - 81*(-3)\/g and 109\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 6 - 2 = 0. What is the tens digit of (-21)\/(-2) - (-2)\/b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1600 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -59a4a3 (base 14) to base 8\nAnswer: -13536677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) 3\/2 (c) -12 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 14*p + 4. Let q be y(8). Let h = q + -81. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 10, x: 1, j: 1, y: 5}. Give prob of sequence tyty.\nAnswer: 15\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 4:14 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14605 = -4*q + 5*j, 6*j = 5*q + 2*j - 18245. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 299*w - 12. Let i(u) = 8*u**2. What is c(i(b))?\nAnswer: 2392*b**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25.39 + 23.4858. What is d rounded to 2 dps?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7879*y - 76 - 8 - 7887*y + y**3 to l*y + a*y**2 + t + q*y**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + d - 1178, -5*i + d + 1834 - 357 = 0. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85895?\nAnswer: 5, 41, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 4*i + 28 + 11\/3*i**3 - i**2. What is the lowest common multiple of y(2) and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(-33)\/(-1 + 4). Let j be (-1 - (-2 - -2))*-7. Let s = z + j. Calculate the remainder when s is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 26 (b) -1 (c) 4\/9 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 12*m**3 + 69*m**2 - 67*m - 21. Let f(h) = 11*h**3 + 67*h**2 - 66*h - 18. Let s(v) = -7*f(v) + 6*k(v). Factor s(r).\nAnswer: -5*r*(r - 1)*(r + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of w**5\/60 + w**4\/8 - 4*w**3\/3 + 2*w**2. List the prime factors of d(-6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -771 + 768. Which is the nearest to -9? (a) -2\/9 (b) 2\/11 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -g**3\/3 - 66*g**2 - 4. Let b(w) = 36*w**2 + 5. Let v(d) = 21*d**2 + 3. Let m(s) = -3*b(s) + 5*v(s). Determine u(m(i)).\nAnswer: -9*i**4 + 396*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 299019 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of 5*t**4\/24 + 5*t**3\/12 - 5*t**2\/2 + 4*t. Factor i(g).\nAnswer: 5*(g - 1)*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3 = -4*j - 17, 3*p - 13 = 2*j. Suppose p*u - o + 5*o - 279 = 0, -2*u = -o - 175. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3662 + 6497 = 1297*n + 1080 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 4) to base 6\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 103401 (base 7) to base 4\nAnswer: 10121301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*g = -113*g - 4*s - 3, 4*s = -5*g + 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 12623650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 8*y - 6. Let b be (-8)\/6*(-3)\/2. Suppose 3*a - 23 = -b*g, a + 2 = 7. Suppose 12 = g*k - 8. Determine u(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 11*m - 14. Let p be t(-9). Calculate the remainder when (74\/p)\/((56\/16)\/7) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 20968603 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0*g = -20. Let x be (-8)\/g*40\/16. Let j(m) = -1 + m + m + m. What is j(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 + 4 = -3*s. Let p(t) = -t + 12. Let l be p(s). What is l rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -36\/2911?\nAnswer: -36\/2911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1966*b*p**3 + p**3 + 185*p**2 wrt b?\nAnswer: 1966*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -330 - -715. What is the greatest common divisor of 11 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46 + -44. Suppose -2*t + 3*n = 118, t + c*t - 4*n = -175. Let i = t + 176. Calculate the remainder when i is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 8, -3*q + 13 = -4*c + 3*c. Let h(s) = -4*s + 2. Let w be h(q). Let a be 11\/4 - w\/40. Sort -1, a, 0.\nAnswer: -1, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3605326 minutes to nanoseconds.\nAnswer: 21631956000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 691433686?\nAnswer: 2, 5849, 59107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + b + 5*b)*(-1 + 41*b - 53*b - 1).\nAnswer: -36*b**2 - 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-100 - -198) + -217 + 56?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d + 0*d - d + (4 - 1 - 5)*(-6*d + 5*d + 4*d) - 6*d + 4*d + 4*d)*(-3 + d**2 + 3) in the form a*d + k + s*d**3 + n*d**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.9 - -6.1. Let p = 22 - 43\/2. What is the closest to -4 in p, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2784 and 438464688.\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17067 + -10?\nAnswer: 17057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 4 - 3)*((2 + 0 - 1)*(-g + 1 - 1) + 2 + 3*g - 2 - 2*g + 11*g + g).\nAnswer: 84*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1404 + 3411. What are the prime factors of w?\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51174623 - -0.10402.\nAnswer: 51174623.10402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -n**8\/70560 + n**5\/60 - 2*n**2. Let k(j) be the third derivative of r(j). Factor k(g).\nAnswer: -2*g**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + v - 4, 0 = -2*s - 4*v + 12 - 2. Put 4, -3, s in ascending order.\nAnswer: -3, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 859573031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 11*v - 11. Let g be j(9). Solve -g*w + 8 - 22 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 42. Is c < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*l - 16*l**2 + 6 + 4*l**2 + 23*l = 0. What is l?\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-2 + 8 - (-20 - (-47 - -28)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + z + 6 = 0, 2*y - 2*z - 3 - 1 = 0. Let w(n) be the first derivative of -1\/3*n - 1 - 1\/9*n**3 + 1\/3*n**y. Factor w(x).\nAnswer: -(x - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-84726)\/23535*(2\/(-5) - (-416)\/(-210))*-7\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14800 - -14958. Calculate the remainder when u is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(-35) + (-38)\/(-14). Suppose 16 = 5*g + 3*k, k = -2*g + 2 + 4. Suppose 2*n - g*s = -n + 6995, 7003 = o*n + 2*s. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 p, and 1 x when three letters picked without replacement from pmmmppmppphpxmmmxpmm.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.52 - 0.42. What is the third smallest value in 4, -5, z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wgsw when four letters picked without replacement from {w: 3, s: 11, g: 1}?\nAnswer: 11\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3073959)\/(-12) - 16) + (-9)\/4 + 2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 420 and 843276.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 2, v: 11}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-958)\/(-760) - (194\/3104)\/(7\/(-28)).\nAnswer: -1\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -43? (a) -2\/109 (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i + 3*i + 16*i - 8*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g**3 + 2245*g**2 - 763*g**2 - 618*g**2 - 864*g**2.\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-4) - 38\/(-8). Suppose -5*d - 2*n = -7*n - 20, 5*d - n = 16. Suppose a*g - 13 = d. Solve -4*r + 16 = 2*o, g = -3*r + 13 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/7 - 3072*s\/7 - 3075\/7.\nAnswer: 3*(s - 1025)*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*u = 472, -4*n + n = 2*u - 354. Suppose 2*d = 4*d + 2*j - n, 4*d - 231 = j. What are the prime factors of d?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -25*n**2 + 5*n + 4. Let w(t) = -16*t**2 + 4*t + 3. Let v(h) = 2*u(h) - 3*w(h). Let c(m) = m**3 + 7*m**2 + 6*m + 2. Give 2*c(z) + 7*v(z).\nAnswer: 2*z**3 - 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10 (b) -1\/8 (c) 1 (d) 1\/2 (e) 1\/15 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/((-66)\/(-88)*2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8\/1629 (b) -10.7 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 64483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 3*v + 4*v, 0 = 2*g - 2*v. Let c be (-6)\/21 + (-148)\/(-28). Suppose 3*a = 4*x + 355, g*x = -c*a + 4*x + 581. What are the prime factors of a?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j + 5939 = -45526. List the prime factors of j.\nAnswer: 47, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -16*t**3 - 3*t**2 - t. Let w be b(-1). Solve 0 = -7*d + 21 + w for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -5*t**2\/2 + 576. Let n(j) = -76*j**2. Give w(n(q)).\nAnswer: 380*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 14\/13, -1\/4, 4, 1\/9, -458?\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 22 = 2*y. Let c = 24 + 16. Let q = c + y. Do q and 31 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -5*s - 120, 26 = 5*p + 4*s - 130. Calculate the common denominator of 143\/6 and p\/(-12)*(-6)\/8 - -2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*m**2 - 21*m**2 + 187952*m**3 - 187908*m**3.\nAnswer: 44*m**3 - 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/3 + (-16)\/3. Let o = x - -10. Suppose -100 = -o*j + 88. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*z + 8. Let b be 4 - (24\/z)\/4. Suppose -2 = 2*w + b. Is w > -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -79*g**3\/6 - g**2 + 4*g. Is n(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 - 15 - 8*o)*(33 - 13 + 34) as c + z*o and give z.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 536*q - 431. Let p be h(1). Solve -p*j - 21 = -98*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73146178949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**17\/t**(-2\/7)*t\/(t\/(t\/(t*((t\/(t**14\/t))\/t)\/t*t*t)))*t**8*t assuming t is positive.\nAnswer: t**(268\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 400687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + w = 5*y - 461, 3*w - 358 = -4*y. What is the remainder when 366 is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -132 + 131. Let i be 366\/7 + 2\/(-7). Let n be (-21)\/i + (-1)\/(-4). Which is the nearest to l? (a) n (b) 5\/4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/6 - 2)\/(156\/(-18)) - 950197\/(-3037515).\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*p + 10*p - 14*p to k*p + m and give k.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -5. Let v(o) be the third derivative of -o**5\/60 - o**4\/4 + 2*o**3\/3 + 187*o**2. Give v(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y - 18*y + o = 5459, -5469 = -y + o. Does 28 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0093145 or 0?\nAnswer: -0.0093145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4665 and 5?\nAnswer: 4665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1537 + 2236. Let l be y*((-4)\/16 - 3\/4). What is l rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, a: 9}. Give prob of picking 2 a and 2 t.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y + 2795 = -4*y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xw when two letters picked without replacement from {w: 4, x: 12, m: 4}.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 + (-2401)\/(-4) + (-1)\/4. Suppose 3*s - 4*v = 1857, 3*v = -4*s + 3*s + k. Does 49 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -18*(3\/(-2) - 1). Let u be 4\/24 + 2\/(-24)*-178. Calculate the greatest common divisor of i and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/53? (a) 0.5 (b) 1\/8 (c) -5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 527637, 6 in descending order.\nAnswer: 527637, 6, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(75))*5 - sqrt(33)\/(sqrt(396) - (sqrt(396) + sqrt(396)*-2)))**2.\nAnswer: 89401\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 3. Suppose 3*m + 16 = -r - m, 5*m + 3 = o*r. Let v be (-2*1)\/(r\/16). Solve v*l = 4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 45784354*g**2 - 21794738?\nAnswer: 91568708*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1100 - 11668 = -168*t. Calculate the smallest common multiple of 2\/1 - (3 + -5) and t.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d be (126\/(-105) - 1583469\/(-195)) + (-16)\/104. What is the greatest common divisor of d and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3313 + 1622 + 1469 - 11*h**3 + 8*h. Let b(y) = 22*y**3 - 14*y + 444. Let g(f) = -4*b(f) - 7*m(f). What is the first derivative of g(n) wrt n?\nAnswer: -33*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -16. Let 2*m**3 + 8*m**3 - 2*m**2 + 5*m**2 + w*m**4 + m**2 + 2*m**5 = 0. What is m?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -67.95123\nAnswer: -20.385369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 + -18. Suppose 0 = 4*b - w*b + 6. Solve 0 = -g - b - 2 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-3) + 2\/(-6). Let b = 3 - v. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18680?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12644896?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - -2)\/((-6)\/16 + 1). What is the nearest to -4 in -4\/5, -2, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -2*n**5\/95 + 3*n**4\/19 - 6*n**3\/19 + 18. Factor a(x).\nAnswer: -2*x**2*(x - 3)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6993800\/7 - 2\/7*o**2 - 7480\/7*o.\nAnswer: -2*(o + 1870)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -842186, -842251, -842318, -842387, -842458?\n\"Answer: -l**2 - 62*l - 842123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - -6. What is the highest common factor of 368 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of t**2*w**3 - 199515*t**2*w**2 - 6*t*w**3 - 88234*t*w**2 wrt t.\nAnswer: 2*w**3 - 399030*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -0.2351169\nAnswer: 1.7648831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m - 3*m - 143 = 0 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -s - 5*c + 4, s - 8 = -4*c. Suppose -3*l + 339 = s*k, 2*k - 24 - 91 = -l. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -329641 <= -329642?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 3*r**2 - 4*r - 3. Let u be 53\/(-17) + (-40)\/(-340). Give p(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.0304853 times 2\nAnswer: 2.0609706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 15266*s**2 + 30*s + 176. Let a be j(-7). Suppose a = -2*i - 3*b, i - 4*b + 3*b = -374000. Round i to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -162, 4 in ascending order.\nAnswer: -162, -14, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/6 - i**2\/6.\nAnswer: -i**2*(i + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*w + 88*w - 119*w - 73*w.\nAnswer: -212*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3627 + 163 = 5*q. Suppose 0*a + 4*a + 2*p = 1006, -q = -3*a + 2*p. Let l be (-4)\/(-14) - 16\/a. What is the nearest to 0 in l, -5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 4*z - 1. What is v(-8)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/11, 4, 2\/25, -15, 2\/5, -529, 2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*j - 17. Let v(o) = -j*o + 7*o - 2*o - o**2. Let r(p) = -2*p. Determine r(v(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: a77 (base 13) to base 8\nAnswer: 3374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 1 = 3*z. Is z\/2 + -1 + 97 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00483764 rounded to five decimal places?\nAnswer: 0.00484","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-7)*(-14798)\/(-400). Let d = 174\/25 - s. What is the common denominator of d and -113\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 96 + 26 + -25 - 42.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 58520770 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -80.139 - -0.139. Let v = n + 80.0000112. What is v rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 551*l + 342 = 570*l for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 170074526 a multiple of 8223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*n - 116 + 686 = 159*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*p + w - 27 = 79*p, -w = 5*p + 50 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 989037*m - 51205 = 989576*m for m.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -202337457, -202337458, -202337459, -202337460, -202337461, -202337462?\nAnswer: -202337463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 233 - 101. What are the prime factors of d?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.007 + -35.993. Let b = -9670 + 9668. Is k smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29548 is divided by 5906.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3792982 and 351.3?\nAnswer: 3792630.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-213 + 71 + 65)*(-3*r - r + 3*r) to the form x + k*r and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 3*z**3 - 4 + (2*z**2 + 0*z**2 - z**2)*(19734*z - 10699*z - 10767*z - 1) + (1 - 6 + 4)*(z**3 - 2*z**3 + 2*z**3).\nAnswer: -1736*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 152 + -911\/6. What is the smallest value in y, -6, -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**4 - 30*s**3 - 65*s**2 - 60*s - 20.\nAnswer: -5*(s + 1)**2*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 465 = 18*u + 1509 for u.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 97.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -583, 392, 43, -4 in decreasing order.\nAnswer: 392, 43, 4, -4, -583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 493 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 118\/(-1416)*((-9)\/2 + 0).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.403398 rounded to 1 dp?\nAnswer: -15.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.909 + 0.109. Let t = -31 - -41. Let m = s + t. What is the third biggest value in 2\/7, m, 1\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-75 - -78) + (-1 - 13\/7). Let a = 28\/95 - -2\/19. Let q = 0.35 + -0.3. What is the second smallest value in k, a, q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17053620 rounded to the nearest one hundred thousand?\nAnswer: 17100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1317 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/96404 and -65\/1711171?\nAnswer: 6844684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 346 = -62. Let a = m - 31. Suppose a*y = 71 - 38. Is 2 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*r**3 + 3*r**3 + r + 5*r**3 in the form i*r**2 + j + c*r**3 + u*r and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11578, -22375, -33172, -43969, -54766?\n\"Answer: -10797*a - 781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 + 52. Solve -k + 0*k + 4*p + 4 = 0, j = -4*p for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**3 + c**2. Let k(z) = -3*z**3 - 6*z**2 - 5*z + 6. Let v(b) = -k(b) + o(b). Let n be v(-6). Solve -25 = 3*h + 3*p + 2*p, 5*p + 10 = n for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 20 = 4*q. Solve 5 - q = s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 6) + (-2 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -31, -45, -61, -79, -99, -121?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/42*2720\/4080?\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + 163190.4.\nAnswer: 163195.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 12 - 1 - 5 - 6 + 3*q**2. Let o(p) = -15*p**2 - 4*p. Calculate w(o(z)).\nAnswer: 675*z**4 + 360*z**3 + 48*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -19. Which is the nearest to 1? (a) 3 (b) j (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -35. Suppose -2*u + u + 2 = 0. Solve -u = -4*q + p for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -382780 + 382780 + 613*k + (1 - 3 + 1)*(-4*k + 4*k - 3*k) as c*k + y and give c.\nAnswer: 616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**5 + 3*o**4 - 39*o**3 - 11*o**2 + 390*o - 504 = 0. What is o?\nAnswer: -7, -4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 636 (base 8) to base 14\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by -1625763.\nAnswer: 8\/541921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/5? (a) 2\/5 (b) -3 (c) 3\/8 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7818*h**2 + 50944.\nAnswer: 15636*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -3.9. Suppose -35*d + 36*d = -4. Which is the smallest value? (a) 6 (b) d (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3669434?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 5*n. Suppose -m = m + 3*z + 20, m = -z - 8. Let u(o) = 2*o. What is m*j(g) - 10*u(g)?\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(209) - (sqrt(209) - (sqrt(209)*2 + sqrt(209)) - sqrt(209) - sqrt(209))) + 2*sqrt(209)*2)\/((sqrt(22) - sqrt(220)\/sqrt(360))\/sqrt(2)))**2.\nAnswer: 175104\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*x + 160 - 160 to c + o*x and give o.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - -6044540.\nAnswer: 6044539.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 4*g - 7. Let q = 14 - -16. Let w be (2\/(-6))\/((-2)\/q). Determine p(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 43595799*j - 5437289 wrt j?\nAnswer: 43595799","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**2*q**3 - 7*c**2*q**2 - c**2 + 640*c*q**4 + 1443*q wrt q?\nAnswer: 6*c**2 + 15360*c*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24767511.\nAnswer: 3, 8255837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - f + 7. Let r be y(-3). What is the remainder when (r\/2)\/((-2)\/(-212)) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -250*d*n**3*r**3 - d*n**3 + 2*d*n**2*r - 2*d*n*r**2 + 3*d*n - 5*n**3*r**3 - r wrt r.\nAnswer: -1500*d*n**3 - 30*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - -1. Let v = -12 + m. Let c(l) = l**2 - 1. Let k(n) = 3 + 3*n - 6*n**2 - 3*n. Give v*c(p) - k(p).\nAnswer: p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*((-55)\/(-4))\/5. Let y(n) = 14*n - 5*n - r*n. Let j(u) = 16*u. Give y(j(i)).\nAnswer: -32*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/24633 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z**3 + 2*z - 2. What is a(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**2\/k)\/k)\/k)**(5\/4)*(k\/(k\/k**(-2\/13)))**(-22) assuming k is positive.\nAnswer: k**(111\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -125*f + 12. Let w(z) = -25*z + 2. Calculate 2*h(a) - 11*w(a).\nAnswer: 25*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 1908 = 5*z - 557, -2*z = -4*g + 2678. Let v = g - 403. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (110 - 53 + 50)*(o + 0 + 0) + 2*o + 2*o + 19*o.\nAnswer: 130*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73708 is divided by 58?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-18) + (-1)\/(-2). Let c = 0.04 + 5.96. Let l = -1.03 - -0.53. What is the second biggest value in c, l, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 7:05 AM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -444*u + 3632. What is c(9)?\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -203204 - 105?\nAnswer: -203309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - u = 0, -7*u + 9*u - 5 = -5*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (49 - -3)*(-5)\/22 + 106\/(-583)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -6. Suppose -12 = -6*t + 2*t. Let m be t*((-3)\/1 - -4). Put i, 4, m in ascending order.\nAnswer: m, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 110*n**2 - 64*n + 2. Let c be v(3). Put c, 1, 0 in increasing order.\nAnswer: 0, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6358, -6125, -5742, -5203, -4502, -3633?\nAnswer: -2590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) + sqrt(75)\/sqrt(5))*-3)\/(sqrt(3)*-3*-4).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 1\/7 (c) -2\/5 (d) 5 (e) 56 (f) 7.6 (g) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -9*p**4 - 28*p**3 + 59*p**2 - 158*p + 32. Let l(h) = 4*h**4 + 14*h**3 - 30*h**2 + 76*h - 16. Let u(w) = -13*l(w) - 6*z(w). Let u(r) = 0. What is r?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002252112 rounded to 7 dps?\nAnswer: -0.0000225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 19*n + 28. Let w be b(20). Let y = w + -46. Suppose 0*u + 3 = -u + 3*j, -2*u - 2 = -y*j. Solve 0 = -g + 5, -3*r + 7*r + 4*g = u for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 116 = 4*o, 17107 = -4*o + b + 17069 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 5*t**2 - 16*t - 69. Let y be g(-7). Calculate the greatest common divisor of y and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8*(-10 - (-324)\/32)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 73, 150, 227, 304, 381?\n\"Answer: 77*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 185627200 to the nearest integer?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(3*(-5)\/30). Put -2\/11, 0.2, h, -1 in descending order.\nAnswer: 0.2, -2\/11, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9993586 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3096, 3092, 3076, 3042, 2984, 2896, 2772, 2606?\nAnswer: 2392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 640062248 divided by -118552\nAnswer: -5399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -2550002)\/(5\/240*6). Suppose 0 = -3*f + 2*z - 6*z + n, -4*f + 2*z + 27199996 = 0. What is f rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.6494 + -0.3494. What is the nearest to 2 in 2, -2, -0.1, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = -u, -2*v = -5*u - 36. Let n = v + -6. Solve -j = -n*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36*((-1)\/12)\/(92\/368)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -296069*x - 296073. Calculate w(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - 22\/(-11)*(-10)\/9. Which is the fourth biggest value? (a) r (b) -2\/5 (c) 3\/7 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -3 + (-20)\/150*(-41)\/2\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.22 + 59.22. Let l = x + -59.079. Let o = l + 0.0790051. Round o to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -97431, -97286, -97035, -96678?\n\"Answer: 53*a**2 - 14*a - 97470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 1:49 AM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + h + 0 - 3 + 0*h**2 + 0*h + h**3. Suppose -3*m = -m. Suppose m = 4*v - 2*v. Calculate n(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g**(-4\/5)\/g*g)\/g))**(-7\/3)\/(g**(-8)*g**(-1\/10)) assuming g is positive.\nAnswer: g**(47\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 92 + -87. Find the first derivative of -12 - 2*h**3 + x*h**3 - 11 wrt h.\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -198, -392, -574, -738, -878, -988, -1062?\nAnswer: -1094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6737 + 1?\nAnswer: -6736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28070b (base 13) to base 2.\nAnswer: -11101101010111101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 3 + 7)*(-2000 + 995 + 996 + 79*z).\nAnswer: 948*z - 108","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (5 + 0 + 18 - (12 + -15)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u**2 + 3. Let f(g) = 7*g**2 - 6. Let p(n) = -2*f(n) - 5*m(n). Suppose 4*t - 9 = 3. Give p(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 + 46. Calculate the remainder when 75 is divided by l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.24 and -0.52523 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 6 + 19 = -3*k, 4*k + 16 = 4*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 456*y = 512*y - 826 - 126 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1057 - -0.1057. Put 3, -2, 12\/13, s in descending order.\nAnswer: 3, 12\/13, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -0.4 (c) -4\/19 (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4\/(-2) + 1*26 is divided by (-2 - -3)\/(2\/26)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 10*t**2 + 12*t - 8. Let a be z(11). Suppose -a*o = o - 88. Let m = 50 - o. Solve 2*g = c - 3, -c = 5*g + m - 3 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**3\/4 + 3*z**2\/2 - 15*z\/4 - 25 = 0.\nAnswer: -5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154178666.\nAnswer: 2, 3331, 23143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 21\/(-14))*(-8)\/6*-3. Sort 16, a, -50 in descending order.\nAnswer: 16, a, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen tenths of a litre?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of o**4\/4 + 181*o**3\/6 - 39*o**2 - 37*o + 2. Determine w(-28).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than or equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 2 = 2*n. Let g(x) = -x - 14. Let k be g(n). Let z = k + 24. What is the remainder when z is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4952?\nAnswer: 2, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1353, -1346, -1339, -1332, -1325?\n\"Answer: 7*x - 1360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (-15)\/(-9) - (-233)\/3. Let m = -77 + d. Let n be m\/2 - ((-10)\/(-26))\/5. Do n and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 3*x + 20. Let i be 24\/(-8) + 3*2. Find the third derivative of -8*g**3 + x*g**3 + 34*g**i + 30*g**2 wrt g.\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -2 (c) -7 (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/3)\/6*(-48)\/(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7240?\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + sqrt(133)*5)*6)\/(sqrt(49)\/(sqrt(7)*-5)).\nAnswer: -180*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*z = 2*z. Let f(b) be the third derivative of -1\/3*b**4 + 0 + 8*b**2 + z*b - 1\/2*b**3. What is the first derivative of f(x) wrt x?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 183692 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) + (3*sqrt(2057))**2)*6 + -5.\nAnswer: 66*sqrt(17) + 111073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/9 - 2230606*n\/9 + 4461220\/9.\nAnswer: -2*(n - 2)*(n + 1115305)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 207376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -b**4\/24 + 7*b**3\/6 - 2*b**2. Let o be z(6). Factor -o - y - 2*y**3 + 3*y + 0*y + y**4.\nAnswer: (y - 1)**3*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307516.\nAnswer: 2, 11, 29, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g - 35 = 11*g. Suppose g*r = 4*r + 186. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -135, -150, -179, -228, -303, -410, -555?\nAnswer: -744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -c**4\/12 + 28*c. Let l(y) = -5*y + 6. Give l(p(t)).\nAnswer: 5*t**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2859683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {x: 13, i: 3, m: 2}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + (-840)\/(-55) + -4. Let n = g - 2679\/143. Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155178570 is divided by 51726190?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4258906 to 2 dps.\nAnswer: 1.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -40 (b) 2\/5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21116*0.1883.\nAnswer: 3976.1428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6376, 6375, 6374, 6373, 6372?\n\"Answer: -x + 6377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -24 + 14 + -6 - -25. Factor -b*s - 3\/2*s**3 + 0 + 15\/2*s**2.\nAnswer: -3*s*(s - 3)*(s - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 71\/29334 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.7270791 rounded to 1 dp?\nAnswer: -30.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - (-2 - 0)) + -104. Let b = y - -270. Is b a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 40898?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.434518 rounded to three decimal places?\nAnswer: -22.435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -2*f + 2. Let n be (-1)\/5*(-2)\/(-1). Is f equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -1\/4, 1\/5, -0.040321, 0.4, 0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 0*d, 0 = -2*h - 2*d + 48. Suppose h = 4*g - v, v - 30 = -5*g - 0*v. Suppose 6*x - 63 = 3*x. Calculate the remainder when x is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - -18. Let t = -7 - o. What is the closest to t in -4, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 796665 is divided by 113769.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*m = -16*m - 810. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 28\/4 + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, 92, -4, -3\/7, 0.4, -1\/3, -2\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(0 - -4)*-5. Suppose 0 = -5*f, o*n - n + 3*f - 160 = 0. What is the third derivative of 49 + 12*j**3 - 49 + n*j**2 wrt j?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.08 and -36.5892?\nAnswer: 36.6692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 221149536 divided by 27643692\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 996 and 0.5.\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 17866, 17867, 17868?\n\"Answer: c + 17865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 103899 and 21417?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 2 f, and 1 m when four letters picked without replacement from mfbmmbbfmmsss.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26531221 or -26531220?\nAnswer: -26531220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 0 + 0)*(-2 - 3 + 6)*(-1 + 4 - 2).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-12)\/(-10))*-6*216\/(-135).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7455 + 7455.68. What is the closest to 4\/11 in f, -4, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 363*a - 20 = 359*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/90 + 81269998\/(-18). What is y rounded to the nearest one hundred thousand?\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 17 = 2*i, 2*i = -a - 2*i + 11. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 3*r**2 + r + 10. Determine p(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 5 - 2) + (-3 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-18)\/(-14))\/3)\/(((-464)\/(-14))\/29)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 2:35 PM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20477*s**5*u - 2*s**2*u + 2693*s*u - 5*s wrt s?\nAnswer: 409540*s**3*u - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 302 at most 292?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 230273 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 1530?\nAnswer: -1\/255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 + 37243064*o + 37243063.\nAnswer: (o + 1)*(o + 37243063)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*s + 2 = -5*v, 4*s + 20 = 4*v. Let c(l) = 2*l**2 - 32*l + 27*l - l**v. Determine c(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/59 in 1, -11, 3, 258, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -949 or -268394\/283?\nAnswer: -268394\/283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a microgram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 0.3, 0.2, 460, 227 in descending order.\nAnswer: 460, 227, 0.3, 0.2, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffpbfbfbp. Give prob of sequence fpbf.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) 2 (c) 88\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v - 14. Let d be t(9). Let o(y) = 2*y - 9. Let l(n) = -4*n + 19. Give d*o(i) + 6*l(i).\nAnswer: 2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9500 or 506?\nAnswer: 506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 671 = t, -n + 6*n = t - 667. Suppose 70*o - t = 69*o. What is o rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f. Let c(o) be the second derivative of 10301*o**3\/6 - 2*o + 1192. Give c(s(v)).\nAnswer: 10301*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g + 47 - 47. Let r(d) = -1 + 8*d**2 - 1 + 2. Calculate r(y(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*n**2 - 90*n - 100.\nAnswer: 2*(n - 5)*(11*n + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/41055 and -95\/7038?\nAnswer: 246330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 14 = v. Calculate the remainder when 74 is divided by v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*652.\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -90 - -136. Suppose 0 = -8*o + c - 14. Suppose -5*g = i - 129, -2*g + 94 = i - o*g. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - 12*a - 31. Let r be v(-29). Let f = r - -815. What are the prime factors of f?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -2*p - 6*c - 10, 5*p + 25 = 4*c for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/1)\/(-4)*(-2)\/(-16)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 290\/30 + -10 - 3\/18. Let f = -3 - -2.9. Let q = 34 - 26. Sort q, f, 5, i in decreasing order.\nAnswer: q, 5, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0*u - 51 = -5*g, 4*u - 60 = -4*g. Calculate the greatest common divisor of 99 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.1 + -0.1. Let f = -2.1 + z. Let p = -0.3 - -0.1. Which is the nearest to f? (a) 5 (b) 0.2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 4:13 AM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -34. Let k(u) = u**3 + 3 - u**3 - w - 12*u + u**3 + 9*u**2. Let o be k(-10). Put o, -4, 4 in decreasing order.\nAnswer: o, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.1859748 decades?\nAnswer: 22.316976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 16*j - 6. Let i be a(6). Let w = i - 56. Let u be (1 + -2 + -1)*w. Solve -t + 0 = -u for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/20)\/((-4)\/40*2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5624922cm to millimeters.\nAnswer: 5.624922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 45812 = 3*h - 103458, -3*j = -5*h - 89528. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by 111?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -12. Put g, 3, 2 in descending order.\nAnswer: 3, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (1 - 1 - (5 - 3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 670, 1102, 1822, 2830?\n\"Answer: 144*d**2 + 526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10.3 - -1.3. Let t = 25.28 + 0.82. Let b = -26.2 + t. What is the closest to 1 in 0, b, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 85.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 633.81 millennia to months.\nAnswer: 7605720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 320*z - 110. Let h(x) = 35*x - 12. Let r(n) = 6*a(n) - 55*h(n). Suppose t - 5*t - 4 = -4*b, -4*b = 2*t - 4. Determine r(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(486) - (sqrt(486)*1 - sqrt(486)))\/sqrt(2).\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -870.926 to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 589*i**3*l**3 + 3*i**3 + 64*i*l**2 wrt l.\nAnswer: 3534*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mo when two letters picked without replacement from sssysassaayoymsyaaam?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -101, -219, -383?\nAnswer: -593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of 17*g**7\/6 - 227*g**3 + 796*g**2. What is the first derivative of t(q) wrt q?\nAnswer: 2380*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 113*h - 106*h. Calculate the remainder when 30*30\/18 - h is divided by 43.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 833992*n + 29 - 113 - 36. Let i be x(-15). Round i to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.32387 millimeters to centimeters.\nAnswer: 0.432387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**3 - 5136*z**2 + 10278*z - 5140 = 0?\nAnswer: -2570, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -18*o**3 - o**2 + 1. Let w be r(-1). Let d be (-3)\/((-30)\/8 + 3). Solve -d*y + w = 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1, -23, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-12) + (-18)\/(-12))*-2\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x + 5*z + 8, 4*z = 44*x - 41*x - 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9594234 and 324?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 + (-1 + -2 - -4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83 - -0.6575.\nAnswer: 83.6575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450)\/((2*sqrt(108))\/sqrt(12)))\/((5*sqrt(70)*-2)\/sqrt(7)).\nAnswer: -sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/5 and -34\/59.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*v + 5*m, -2*m = -5 + 1. Solve 2*q = g - 0*g - 4, 5*g + v*q = -4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11\/7 or 3\/269?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 349, 0, 5, -4.\nAnswer: -4, 0, 5, 349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**2. Suppose 5*z - 25 = 0, -2*z = 3*m - 0 + 8. Let t be (8\/m)\/((-14)\/21). Let p(d) = d**t + 0 - 6*d**2 + 0. Calculate p(k(r)).\nAnswer: -20*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8\/20*(26 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 = 9*g - 33*g. What is the biggest value in 3, -5, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**6\/(c\/(c**(2\/7)\/c)*c)*c**(-2\/3)\/(c\/c**(2\/9)*c))**(-13) assuming c is positive.\nAnswer: c**(-689\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3219511188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2983, 5938, 8893, 11848, 14803?\n\"Answer: 2955*b + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 120511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1, 5, -5 in descending order.\nAnswer: 6, 5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 515985 and 742515?\nAnswer: 30443115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279214026?\nAnswer: 2, 3, 7, 13, 139, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -118567 times 0.16\nAnswer: -18970.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 1\/5, -55\/3?\nAnswer: -55\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 65*a**2 - 29*a - 231. List the prime factors of x(10).\nAnswer: 3, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -8*u**2 + 2. Let s(r) be the first derivative of -r**3\/3 - 4. Let o(j) = b(j) - 3*s(j). Differentiate o(w) with respect to w.\nAnswer: -10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 1, 4, -1459\/2 in ascending order.\nAnswer: -1459\/2, 0, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 - -45 - (188\/(-40))\/(1\/(-2)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 341 - 332. Suppose -3*r + 33 = 4*t, -t - 2*t = -r - 41. Solve -3 = -3*u, t = -5*w + u - i for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3667 and 539834.7066.\nAnswer: 539835.0733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4*l + 9. Let w(v) = 3*v - 9. Determine 6*w(b) + 5*x(b).\nAnswer: -2*b - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - 5. What is the nearest to -0.1 in 0.4, 0.1, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*n = 1515. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away 11.962996671532?\nAnswer: -11.562996671532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 7*n - 9. Let w be v(-5). Let f = 26 + w. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -3*b - 42 + 15, -5*b = 5*c + 10. Suppose 2*f - 4*w = 6*f - 48, 5*f - 72 = w. What is the least common multiple of 63\/f*2\/c and 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b**2 - 2*b**2 - 5*b**2)*(-14 + 18 + 29) to the form c + h*b**2 + t*b and give h.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 24 = 5*l. Suppose 2*u + 48 = 4*m, 5*u - 6 - l = -m. Suppose 5*o = 5*s + 20, 0 = 5*o - o - 2*s - m. Solve 0 = o*c - 1 - 9 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 13. Sort s, 5, -4.\nAnswer: -4, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 0 - (-4 + -5). Let h(x) = 2*x - 7. List the prime factors of h(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1203211 + 0?\nAnswer: -1203211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15671, 15663, 15643, 15605, 15543, 15451, 15323, 15153?\nAnswer: 14935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2521 * -0.5545.\nAnswer: -1397.8945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*x - 16 = 0, -2*x = -5*g + 16 + 56. Suppose -o = o - g. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/(-77) - 6502\/44*8. Round i to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a day in minutes?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16 times -9160205?\nAnswer: 1465632.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*j - 2*t = -36*j - 6, 20*j + 3*t = 9 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1762 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(17) - sqrt(612))**2*-5 + sqrt(17))*-5 - ((sqrt(2448) - (-1 + (sqrt(2448) + -2 + sqrt(2448) - sqrt(2448))))**2 + sqrt(2448)))*5.\nAnswer: -85*sqrt(17) + 53080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 3*w**4\/4 + 53*w**3 - 336*w**2 + 684*w + 599. Let v(a) = 0. What is a?\nAnswer: -57, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**3 - 15*t**2 + 10*t - 4. Let o(n) = n**3 + 8*n**2 - 5*n + 2. Let x(w) = -4*m(w) - 7*o(w). What is the units digit of x(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 885301 to the power of 1\/2, to the nearest integer?\nAnswer: 941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**4*(t*t**(-6))\/t*((t*t*t**(-1\/2)*t)\/t)**(-4\/19))\/((t**(-1)*t*t)**(32\/7)\/((t\/(t**(2\/7)*t))\/t)**(5\/4)) assuming t is positive.\nAnswer: t**(-4519\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3432110300 - 10?\nAnswer: 3432110240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 108835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-522)\/36 + (10 - 0))\/((-6)\/(-32)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6456473*m**3*p + m**2*p**3 + 501445780*p**3 wrt m?\nAnswer: 19369419*m**2*p + 2*m*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1512638 is divided by 168067.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -35*i - i + 70 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8876023.\nAnswer: 13, 17, 40163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 0.51?\nAnswer: 2.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.032812352 rounded to five dps?\nAnswer: 0.03281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 10, 8, 46, -1, 132, 3 in ascending order.\nAnswer: -3, -1, 3, 8, 10, 46, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3421902607.\nAnswer: 57601, 59407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1984, -1996, -2016, -2044, -2080, -2124, -2176?\n\"Answer: -4*o**2 - 1980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -40999 (base 11) in base 14?\nAnswer: -17ac9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*u - 19. Suppose 0 = -8*x + 3*x + 60. Calculate the smallest common multiple of x and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1105b4 + -4?\nAnswer: 1105b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1430, 0, -0.3 in decreasing order.\nAnswer: 1430, 2, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -4*w**3 - 6828*w**2 - 20448*w = 0.\nAnswer: -1704, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.066 + 0.186. Let m = -11.72 + 11.82. Which is the second smallest value? (a) m (b) u (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -1. Suppose -8*h + 15 = -3*h - i, 0 = -5*h + 4*i. Sort h, g, -10.\nAnswer: -10, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k + 0 + 0)*(-92 - 10 + 24 - 144) as c*k + w and give c.\nAnswer: -444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 3) to base 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 480707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 10:38 AM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 (base 11) in base 10?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3*s)*(0 - 1 + 18) + 83 + 18*s - 44 - 35.\nAnswer: -33*s + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 4*f + 0*f + 4*f - 5*f.\nAnswer: 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, 0.4, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yydyynnddwnnn. What is prob of picking 2 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((-63)\/54)\/((-2)\/12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 5*b + 1. Let h = -8 - -12. Suppose 3*q = h*q + 4. Let d be 4\/(2\/q*-2). Calculate x(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/348002240 and 121\/45156.\nAnswer: 1044006720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 11:12 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o - 367 = -v - 17*o, -2*v - 2*o + 702 = 0. What is the least common multiple of v and 2?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 + 77. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + 0. Suppose -i - 196 = 2*g, 2*i + 2*i = -2*g - 208. Let f = 100 + g. What is the highest common factor of n and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away -9551979743?\nAnswer: 9551979740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*q + 10469 = 809 for q.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 + 46. Suppose -61 = -4*g + f. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6132 divided by -219\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b**2 - 8*b + 8*b - 63*b**2 in the form p*b + m*b**2 + t and give m.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + g**2. Let b(n) = -8*n**3 - 4*n**2 - 4*n. Let f(d) = -d**2 - d. Let v(c) = -b(c) + 3*f(c). Give -u(x) + v(x).\nAnswer: 7*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -r**5\/20 + r**4\/6 + r**3\/6 - r**2 - r. Factor n(u).\nAnswer: -(u - 2)*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -5*o - 1. Let u be s(-6). Let c = -26 + u. Is 3*c*(20 - 16) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4 (b) 4\/7 (c) 2\/31 (d) -0.08 (e) 3 (f) -2432 (g) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 132300223 (base 7) to base 10\nAnswer: 8521264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 24*q - 22*q - 16, -5 = -q for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182917 is divided by 96.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**4 + 3*x**3 + 3*x**2 + 2*x - 3. Let r(y) = y**3 + y**2 - y - 1. Let o(w) = -k(w) + 3*r(w). Find the second derivative of o(s) wrt s.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -14. Let s = -3.3 + 3.4. Put -1, i, s in ascending order.\nAnswer: i, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44.3 - 64.7. Let h = c + 112. What is the second smallest value in -6, 0.2, h, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvbvvvvvvvvb. Give prob of sequence vbb.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 14 + 7 + 2*a - 21. Let y be q(2). Solve -2*p + 20 = -y*j, -2*j + 10 = -p - 5*j for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -336 (base 8) to base 3\nAnswer: -22020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(78)*-2 + sqrt(78))*6)\/(sqrt(30)\/(sqrt(405)*1)).\nAnswer: 162*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -950, -1644, -2312, -2948, -3546?\n\"Answer: c**3 + 7*c**2 - 722*c - 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2 - 9*u + 10. Let x be w(10). Find the third derivative of -64*a**4 + x*a**4 + 11*a**2 - 18*a**5 - 56*a**4 wrt a.\nAnswer: -1080*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4276.1 times 0.042?\nAnswer: -179.5962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 176 by -122030.\nAnswer: -88\/61015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/3103178 and -85\/104?\nAnswer: 12412712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/3525 and 19\/423.\nAnswer: 10575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44 + 81 - 37)*(-3*w + 4*w + w)*(-3 + 1 + 1).\nAnswer: -176*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2.2 (b) 34152 (c) 1\/3 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3494 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -9. Let l = 0.34 + -0.44. Let f = 2398 + -2393. What is the biggest value in r, l, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**2 - k**2 - 3*k**2 - k**2 - k**2 + 0*k**2 + (3*k + 2*k - 4*k)*(0*k + 0*k + k) - 3*k**2 + 2*k + k**2 - k.\nAnswer: -5*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/390 and -99\/32942.\nAnswer: 494130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4347 and 321.\nAnswer: 4668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 261 divide 23246226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 920?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24753\/346 + 143\/2. Let m = f - -9204\/865. Which is greater: 12 or m?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 + 12171?\nAnswer: 12161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 66440406463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2497942803.\nAnswer: 3, 71, 449, 26119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3138.3 + -3138.3. Sort 0.031, -5, p, 9 in decreasing order.\nAnswer: 9, 0.031, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 4)*(-1)\/(-5). Solve -m*k + 0 - 4\/5*k**2 - 2\/5*k**3 = 0 for k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - y = -13. What is y rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 7*k - 7. Let i be j(-5). Suppose i*m = -m. Let p(x) be the second derivative of x**4\/12 + 5*x**2 - 21*x. Give p(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121634?\nAnswer: 2, 61, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + p + 304, 503 = 5*b + 21*p - 19*p. Suppose -b = -10*x - 31. Sort -1, -5, x in decreasing order.\nAnswer: x, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 3*k + 12, m - 3*k = -0*k. Let z(a) = -a**2 - a. Let o be z(m). Find the common denominator of 77\/16 and (-3)\/8*178\/o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -408, -888, -1434, -2040, -2700, -3408, -4158?\n\"Answer: k**3 - 39*k**2 - 370*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(5) + sqrt(605)*2)**2.\nAnswer: 2641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-159 + 153 - 5*u + 3*u**2 + u)*(1 - 1 + u**2) as h*u**4 + i*u**3 + v + a*u + j*u**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 16) to base 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 3*p**4\/8 + 3*p**3\/8 - 39*p**2\/8 - 3*p\/8 + 9\/2 = 0?\nAnswer: -4, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*274.8.\nAnswer: 4396.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 8) to base 15\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 7*u + 4. Suppose -2*t + 4 = -4. Let b be (t - -2)*(-1)\/(-3). Suppose -1 + 13 = b*l. Give v(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -101231303?\nAnswer: -101231303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5\/17 (b) -5 (c) 110 (d) 46 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**(2\/93)*m)\/m**(-10\/11))**(-37) assuming m is positive.\nAnswer: m**(-147149\/1023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/5715 and -27\/8255.\nAnswer: 74295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 - -22. Let k be (2 + 2 + p)*(4 - 5). Solve -5*d - 2*o - 12 = k, 4*d - 5*o + 57 = 21 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -25\/4568543?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.3, 11, 98\/27, -31?\nAnswer: 98\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -d**4\/21 + 38*d**3\/21 + 300*d**2\/7 + 52*d + 5. Factor p(v).\nAnswer: -4*(v - 25)*(v + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1302477?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 406894573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - ((-2520)\/(-272) - 4))*(-138)\/207?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 517860803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**2\/9 - 92446*s\/9 + 92464 = 0.\nAnswer: -46232, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*u - 75 = -28*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8029*m**2 + 19*m**3 - 146*m**2 - 1839*m**2.\nAnswer: 19*m**3 - 10014*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -4*a + 82, 0 = -5*v + 4*v + 2. Let c be a\/45*(-5)\/(-1). Suppose -2*y - 2*k = -143 - 55, y = c*k + 93. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 5*r - 40 = 0. Suppose 0 = -r*t + 5*t + 111. What is the tens digit of (2 - (3 + 3)) + t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12318, -24738, -37362, -50292, -63630, -77478, -91938, -107112?\nAnswer: -123102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of 0*b + 228*b**2 - 1\/5*b**6 + 1\/8*b**4 - 1\/60*b**5 - b**3 + 0. Find the second derivative of u(y) wrt y.\nAnswer: -144*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - (10 - -2)) + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven halves of a century?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 203\/10 + (-159)\/530.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3582*n*w**4 - 2*n*w + 186*n - 44*w wrt w.\nAnswer: -42984*n*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-one fifths of a meter?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -15*n + 19. Let r(p) = -5*p + 6. Let c(l) = 7*r(l) - 2*t(l). Let k be c(2). Let i = k - -10. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 0. Suppose -k*l + 12 = -3*j + 2*l, 4*l = -4*j + 16. Calculate the remainder when 3 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (3 - 1) - 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/13? (a) -0.5 (b) 3\/2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -179*d - 438*d**2 + 179*d - 365*d**2 - 549*d**2 as t*d + l*d**2 + z and give l.\nAnswer: -1352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**2\/4 - 53*q\/2 + 2773\/4 = 0?\nAnswer: 47, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2 + 16*g + 106. Give r(-7).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -291, -289, -287, -285, -283?\nAnswer: -281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1042 - 949. Calculate the highest common divisor of 31 and x.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 886 (b) -1 (c) -3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 17. Let u = -269\/27 + 145\/54. Find the common denominator of (-57)\/(-9) + 0 - 6\/l and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g + 27. Let r(q) = q. Let c(f) = -a(f) - 18*r(f). Let d be c(-12). Suppose n = -4*l + d, -772 - 59 = -5*n + 2*l. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 904207*q**6 - 912197*q**6 - 4 + 433*q**2 - 117*q**2 wrt q.\nAnswer: -958800*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26 + 266\/9)*(-1 - -4))\/2?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/8)\/(-1*1\/(-6)). Let j = m + -6. Suppose 0*l = 3*y - 3*l - 15, j*y + l - 15 = 0. Calculate the remainder when 9 is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7\/5*h**3 - 8\/5*h**2 + 16\/5*h - 1\/5*h**4 + 0.\nAnswer: -h*(h - 1)*(h + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2396 is divided by 240?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2\/7 - 4726892*p\/7 + 9453768\/7.\nAnswer: 4*(p - 1181721)*(p - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192 and 568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-4) - 3\/6. Let c(z) = -12 - 6 - f - 2 - 4*z. Let l be c(-6). Solve 0 = -0*o - l*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -844.89 - -850. Let s = -0.11 + g. Let c = 0 + -0.1. What is the nearest to c in s, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 - -15. Let j be k\/(-10) - (-6)\/(-30). What is the units digit of j\/12 + 260\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 515.6901 decades to millennia.\nAnswer: 5.156901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 687266709.\nAnswer: 3, 281, 701, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -5*b**8\/1008 + b**7\/63 - b**5\/18 + 5*b**4\/72 - 2*b**2 + 14*b. Find m, given that a(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 1)*(58\/6 + -8)*-27. Let q be -2 - (3 + 59)*-1. Calculate the highest common divisor of q and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -2*f - 154, -9*v = -5*v + 2*f - 142. Calculate the remainder when 145 is divided by v.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x*x*x**3*x)*x)*x)**(-27))**29 assuming x is positive.\nAnswer: x**(-4698)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 15 = 3*k, 0*k + 2*h - 2 = -k. Let q = k - 3. Solve 3*a - 4 = q for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j - 5. Let k be i(-11). Let h = -5 + k. List the prime factors of -2 + h + (3 - -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - 3 - (3 - 47). Let a be (1 + (-40)\/z)\/((-10)\/(-30)). Let p = -3\/28 - a. Put -4, p, -8 in descending order.\nAnswer: p, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1000232 + -0.1. Round r to six decimal places.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/4 of a meter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 784.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2288584, 2288589, 2288598, 2288611, 2288628, 2288649?\n\"Answer: 2*v**2 - v + 2288583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8326)\/(-179190) + 3\/(-33)?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1 + 1 + ((sqrt(147) - -2*sqrt(147)) + 2 - sqrt(147)))*-1)**2 + 1.\nAnswer: 56*sqrt(3) + 593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - -45 - (7 - 10 - -9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {z: 1, t: 6, f: 3, i: 1, n: 4, q: 5}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7 + -5 + (1 - -1). Suppose a = n*f - 20, 0*f = -2*f + 5*a + 10. What is the second biggest value in 0.3, 8\/5, f?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 39, 60, 81, 102?\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 divided by 76.\nAnswer: -9\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 18043517 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 274149.4409 to the nearest ten.\nAnswer: 274150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4889213888 to two decimal places.\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -8*y + 39\/5*y**2 + 163 - 1\/10*y**4 - 12\/5*y**3. What is h in a(h) = 0?\nAnswer: -20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence psyy when four letters picked without replacement from {p: 1, g: 2, y: 2, s: 1}.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (3*33)\/((-78)\/(-52))*31\/558*-18\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -221 + 224. Solve q*t + 7 + 2 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54\/5, 5, 34\/5, 14\/25.\nAnswer: -54\/5, 14\/25, 5, 34\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 5:30 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1, 3, -1111, 5, 1.\nAnswer: -1111, -6, -1, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8735.\nAnswer: 5, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (20 - (0 + 8)) - -16 - (-19 - -14)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 7*y**3 - 150*y**2 + 100*y - 4178. Calculate m(22).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/9, 2, 1\/4, 33, 5, 0.2, -14 in decreasing order.\nAnswer: 33, 5, 2, 8\/9, 1\/4, 0.2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*y = 53*y - 114 + 44 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 16, 8, -6, -26, -52, -84?\n\"Answer: -3*g**2 + g + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31536\/876)\/((-6)\/(-3))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = k + 13, 0*l + 18 = 2*l - 3*k. Suppose 2*w + 7 = -l. Put w, -4, -3 in ascending order.\nAnswer: w, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a millennium in years?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 764 is divided by 75.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4567681920 divided by -6.\nAnswer: -761280320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12 - -6) + (-4)\/(-1). Let h be -53*o*(-1)\/2. Let y = 192 + h. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 13.8. What is the second biggest value in 4, o, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**2 + 40 + 9 + 3*b**2 + 44 + 25*b**2 - 2*b**4 with respect to b.\nAnswer: -8*b**3 + 54*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 0*g - 2*g**4 + (2*g - 2*g - g**3)*(2*g - 3*g + 3*g) + g**4 - 3*g**4 + 5*g**4)*(2*g - 3*g + 2*g)*(-3 - 3 + 4).\nAnswer: 2*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 3384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 3:38 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67795108?\nAnswer: 2, 1873, 9049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 8824, -4 in increasing order.\nAnswer: -4, 0.2, 8824","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 - 3\/2 + 5\/4*j**3 + 1\/4*j.\nAnswer: (j + 1)*(j + 2)*(5*j - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 10. Let r(k) = 54*k**2 + 1. Give r(c(m)).\nAnswer: 54*m**4 + 1080*m**2 + 5401","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 + 27.8. Let p = -1022 + 1077.7. Let d = -56 + p. Which is the smallest value? (a) j (b) d (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -85*j + 17. Let c(i) = -14*i + 3. Let n(a) = 17*c(a) - 3*v(a). Let h(p) = 11*p**2. What is h(n(k))?\nAnswer: 3179*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -m - 5*y + 2*y, 4*y = -4*m + 40. Solve 8 + 2 = -m*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 9 = -4*a, 7 = 3*g - 2*a + 36. Let z be (-3)\/(((-42)\/(-4))\/g). Solve -2*h = -4*n + 2, -5*h + z*n + 28 = 3*n for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eqqooqoeoeeoqee. What is prob of picking 1 q, 1 o, and 1 e?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -1675.\nAnswer: -1\/1675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 3*k - k)*(-k**2 + 3*k - 3*k)*(23 - 23 - 29*k).\nAnswer: -58*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 2015284.\nAnswer: -1\/503821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 6:51 PM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qoggqeegqe. What is prob of sequence qeo?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -1623*x + 1725*x + 1191*x as i*x + r and give i.\nAnswer: 1293","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6021 + 6041. Solve 18*b - 23*b - u - p = 0, -b - 18 = 3*u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.7199 - -0.0301. Round v to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4516 (base 8) to base 7.\nAnswer: 6642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 2 (b) -0.2 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15585, 14831, -18587, -101001, -248743, -478145, -805539, -1247257?\nAnswer: -1819631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 11*h**2 - h - 4. Let k be j(2). Let v = -31 + k. Is v a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 80675 and 61.12881.\nAnswer: 80736.12881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141830276?\nAnswer: 2, 7, 1811, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3*sqrt(88)\/sqrt(4))\/(sqrt(2) + sqrt(32)*-2).\nAnswer: -5 + 3*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -n**3\/3 - 9*n**2\/2 + n. Let r be (-5)\/(5\/2) - (2090\/22)\/19. Give o(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 1 + 0*n**2 - 3*n**2 + (0 + 0 - n)*(-n + 3*n + 0*n) + 2*n**2 - 5*n**2 + n**2.\nAnswer: -7*n**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -1.21\nAnswer: 0.242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 8*s**2 - 5*s + 7. Let u be g(5). Let x = u + -427. Round x to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 148, -3, 8, 0 in decreasing order.\nAnswer: 148, 8, 5, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (21 - 56) - -21?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*n - 109*n = -14 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2. Suppose -3 = -7*f + 10*f. Suppose 0 = -0*d - 3*d + 6. Let m(w) = 1 + 5*w**2 - 6*w + d*w + 2*w. What is f*m(z) + 4*k(z)?\nAnswer: -z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 393.9968 and -2.86924.\nAnswer: 391.12756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 7*n**2 + 6*n - 8. Let q be l(6). What is the units digit of (q\/6)\/(6\/(-90))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.5*21.18.\nAnswer: -31.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-24)*4\/(-18).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 7:08 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3585 is divided by 133?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (28\/(-21))\/(6\/(-18)). Solve -v + 2*d + j + 5 = 0, 17 = v - 4*d for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008425 rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -1 + 8. Let r(m) = -13*m - 4. Let n = -3 + -2. Let g(q) = -9*q - 3. Calculate n*r(z) + s*g(z).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*u - 75 = -61*u. Solve 8 = 3*w + b, -w - 5*b = u - 29 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 492 by -164.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -113 + 116. Suppose 3*c + 4*p + 4 = 2*p, l*c + 4*p + 14 = 0. Let r = -9 + 12. Solve r*w = w + c for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -482*k**2 - 60*k**2 - 93*k**2 + 9 + 5*k**2 - 9 + (-5*k**2 + k**2 + 5*k**2)*(-4 + 0 + 5).\nAnswer: -629*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 47 = -3. Let r be 0 + -2 + -1 + 5. Suppose l - r = y. Is l a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64334 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 + -2 + -1 + 1. Let s(o) = -35*o**2 + 5*o + 41*o**2 + 167 - 173. Let z be s(2). What is the highest common divisor of z and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 564830876 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 1 = -l - 5*d, 3*l - 3 = d. Let v be (l - 0)*(2 - -1). Let i = v + 3. Solve -h + y = -i + 1, y = -4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 10425.\nAnswer: 20850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 20. Let z = r + 16. Solve 0 = z*k - 0*k - 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -590*q. Let m(s) = 13373*s**2. Give m(j(f)).\nAnswer: 4655141300*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (78\/(-130))\/(21\/(-70))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833) + 1 + -4 + sqrt(833)*-3 + 0)*6)**2.\nAnswer: 3024*sqrt(17) + 120276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9908 - -9977. Which is the closest to 0? (a) h (b) 4\/5 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*3 - (35 - 68). Suppose -c + 7 = -4*k - 35, -k + v = 2*c. What is the remainder when 1\/(-1 - 110\/(-109)) is divided by c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18461, -73331, -164613, -292307, -456413, -656931?\nAnswer: -893861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-15 - (18 + -14 + -6 + -9)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 3:32 AM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-7\/4)*j)\/j*j**1)\/(j\/j**1*(j*j*((j\/j**4*j)\/j)\/j)\/j)*(j**(2\/5)\/(j*j\/j**(-3)))\/((j*j**(-1))\/j**7) assuming j is positive.\nAnswer: j**(183\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 39.44. Let h = p + 25.4. Let q = -0.04 - h. Which is the second smallest value? (a) -4\/5 (b) 0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-111)\/37*4\/132*2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28284258 is divided by 14557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**4\/24 - 2*n**3\/3 + 9*n**2. Let j be g(6). Is 85\/34*(-212)\/j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -545594*n - 8. Let g(w) = -272797*w - 4. Let c(l) = 5*g(l) - 2*z(l). Let q be c(-3). Let b = -1638387 + q. Round b to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 46 + 2*g**2 + 31 - 4*g**4 - g**2 + 2*g**3 + 5*g - 78 in the form b*g + z*g**2 + a + n*g**3 + f*g**4 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1445 divided by -6\nAnswer: -1445\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.51 - -0.39. Let r = n + 0.1. Let t = 0 - 0.1. What is the closest to t in -5, r, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -203*r**3 + 6*r**6 - 1224*r**3 - 934*r - 34*r**2 - 4*r**6 + 40*r**2 + 1 - 8*r**2 wrt r.\nAnswer: 240*r**3 - 8562","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 3*u - 3. Let s be d(2). Let g = 7 + s. What is the lowest common multiple of 1 - -1 - (-2 - -1) and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -39305576, -78611149, -117916722?\n\"Answer: -39305573*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 740*b + 5132 - 17423 = 5469 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 8*y + 1. Let s be l(1). Let n = s + -4. Solve 10 = n*u + 3*k - 9, -3*k - 6 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 - 23. Let c be (-18)\/g*2\/18. Let z = 194 + -194.1. What is the nearest to 0.1 in z, c, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of 191*g**5\/10 + 201*g**3\/2 + 13*g + 26. What is the second derivative of p(x) wrt x?\nAnswer: 2292*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278 = -w + k, -3*w = -4*w + 5*k + 270. Does 28 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**(-5))*(g*g**(1\/2))\/g*g)\/((((g**(1\/14)*g)\/g)\/g)\/((g*g\/(g\/g**(-22)))\/g)))**(-8\/7) assuming g is positive.\nAnswer: g**(816\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(544) - sqrt(34)))\/(sqrt(2) - 3*sqrt(14)\/sqrt(7)).\nAnswer: -9*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1000 is divided by 182.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -29*v - 1. Let m be j(-2). Suppose 17 - m = -5*l. Calculate the highest common divisor of 20 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - ((-1 - 0) + -24) - (3 + -2 - 11)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence psh when three letters picked without replacement from {j: 7, p: 9, h: 2, s: 1}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5*z**4 + 5*z**2 + 8*z + 5. Let p(g) = -g**2 - g - 1. Let h(b) = 5*p(b) + w(b). What is the second derivative of h(t) wrt t?\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -7*z - 1. Let d be v(2). Suppose 0*x - 29 = x. Let r = d - x. What is the greatest common divisor of 154 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4 - 12*r**3 - 39*r**2 - 28*r.\nAnswer: -r*(r + 1)*(r + 4)*(r + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13714 + 96028\/7. Find the common denominator of -107\/750 and j.\nAnswer: 5250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6456 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-14) - (-18)\/14. Suppose y = 3*g - 5. Solve -3*f + l = 3, 3*f - g*l + 1 = -5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**3 - 2*h**3 + 0*h**3 + (-h - 4*h + 6*h)*(3*h**2 + 0*h**2 - 2*h**2) - 1 + 6*h**3 - 4*h**3 - 3*h**3.\nAnswer: -2*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -389.1 - -389. Let t be 38\/(-8)*2\/(-8) - 1. What is the fourth biggest value in 3, u, 2, t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 63, -4, 31, -82 in decreasing order.\nAnswer: 63, 31, 3, 2, -4, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/10)\/((-5567)\/(-334020))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 261\/78 + -2 - (-46)\/299. Let j(y) = -3*y**3 + 2*y**2 - 1. Let l be j(1). Let k be (2\/(-18))\/(l\/3). Sort v, -2, k, -1.\nAnswer: -2, -1, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14)\/(5*sqrt(6)\/sqrt(3)))**2 - sqrt(84)\/(sqrt(48)*-2)) + 3 + (-4 + sqrt(14)\/sqrt(18))*-3.\nAnswer: -3*sqrt(7)\/4 + 382\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -2*l + t + 66, 3*l + 2*t - 73 = 0. Suppose -2*y = -5*y + 3*k + l, 4*k = -y + 24. Calculate the greatest common divisor of y and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15050633659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.112 - 0.012. Let c = r - 2. Suppose 0 = t + t. What is the closest to t in 2, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 4 + 0 + 2*l - l**4 + 6 to j*l + g*l**2 + r*l**4 + y + q*l**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 160 and 1520.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25378757\/16 - 1584352. Let y = 1823 - f. Calculate the common denominator of y and 103\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((2*(sqrt(76) + -1*sqrt(76))*-5)\/(-2*sqrt(4)*-5*2))**2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14292107?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one eighths of a millennium?\nAnswer: 31500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*g - 130*g = 22. Let d(i) = -28*i + 2. Give d(g).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4\/3 + 2*y**3\/3 - 40*y**2\/3 + 64*y\/3.\nAnswer: y*(y - 4)*(y - 2)*(y + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w**2 - w. Let z be q(1). Suppose 2*h + 13 = 4*x - 5, -z*h = 4*x + 26. Let o(p) = -9*p + 3. Let c(i) = -3*i + 1. Give h*c(y) + 4*o(y).\nAnswer: -3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1753 or -1754?\nAnswer: -1754","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100, 47, -116, -449, -1012, -1865?\nAnswer: -3068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18312.\nAnswer: 2, 3, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (0 + sqrt(2)))*6 + sqrt(8)*2.\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 33?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28462?\nAnswer: 2, 7, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.4, 0, -1, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11932 is divided by 682\/(-1)*(52\/(-136) + (-34)\/289)?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 20*d**2 + 5*d - 81. Calculate j(20).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28132.9 * -8.\nAnswer: 225063.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*n + 270*n - 77*n + 3174 = 126*n for n.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5517, -21470, -48013, -85110, -132725, -190822, -259365?\n\"Answer: 6*k**3 - 5331*k**2 - 2*k - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-207)\/36 - -6)\/((-2)\/8). Let j be t\/2 + 66\/4. Suppose 5*m - 3*y = 13 + 21, 4*y = -4*m + 8. Solve 3*i = -m*r + 2*i - 8, 4*r + j = -4*i for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by 9?\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 66 + -30. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*j**3 - 4*j**3 + 0*j**3)*(0 + 3*j + 0) + (-6*j + 6*j - 10*j**3)*(0 - j + 0) to the form k*j**3 + g*j**2 + z*j**4 + x*j + r and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202898 is divided by 40522?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 60 + -57. Suppose 2*n - n - 17 = -x*y, -3*n + y + 11 = 0. Suppose -n*c + 10870 = 5*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2798376 less than 2798375?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1216.7343 rounded to the nearest integer?\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177871*d + 177887*d - 534067*d + 177995*d.\nAnswer: -314*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2423\/5 - 483. Which is smaller: q or 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -14 + 1 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10299296 to the power of 1\/2, to the nearest integer?\nAnswer: 3209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**4 + 1 - 2 - 4*u**4 + (-2 + 2*u + 2)*(u**3 + 0*u**3 + u**3) - 2*u**4 - 4 + 4 + 16 - 16 - 3*u**4 - 2*u**4 + 6*u**3 - 6*u**3.\nAnswer: -5*u**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n = -2*k - 91, -25*n = -23*n + k - 26 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -290 + 408. Let l = q + -141. Is l <= -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 0 + 2)*(-2*d**4 + 4*d**4 + 6*d**4) + (4 - 4 + 3*d)*(0*d - 2*d**3 + 0*d) - d**3 + 2*d**4 + d**3)*(1 - 4 - 1).\nAnswer: 112*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 77477651 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - -1 - 1085\/196. Let m = -439\/924 - w. Find the common denominator of 125\/96 and m.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4*i. Suppose -12*w - 156 = -14*w. Let p(v) = -15*v**2 + w - 36 - 42. Calculate p(f(d)).\nAnswer: -240*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/230 - 378378\/(-1453140).\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of 0*s + 0 - s**2 + 0*s**3 + 0*s**4 + 3\/20*s**5. Let n(g) = -g**2. What is k(n(w))?\nAnswer: 9*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**(2\/5))**(-31))**(-27))**(-20))**(-6\/17) assuming j is positive.\nAnswer: j**(40176\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 7*v**2 + 7*v + 1. Suppose -2*i = 6 + 6. Calculate r(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 9, 1, -3, -14, -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 19*w - 14. Let a(p) = -p**3 + 8*p**2 - 6*p + 3. Let j be a(7). Let g be d(j). Let k = g - 51. Solve 0 = 4*f + f - k for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1998877?\nAnswer: 17, 307, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-52)\/(-16) - (-2)\/(-8). Let a(b) = -4*b**s - 6 - 9*b**2 + 3*b + 5*b + 7*b**2 - 4*b. Let k be a(-7). Round k to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 6:13 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 886 - 869. Let m(b) = 14*b + 26. Let z(y) = -5*y - 9. Determine d*z(x) + 6*m(x).\nAnswer: -x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*w = 1495 + 705. What is the first derivative of 48 + 38*f**2 - w - 3*f**2 wrt f?\nAnswer: 70*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**3 + 18*u**2 + 45*u + 22. Let n(s) = 15*s**3 - 125*s**2 - 315*s - 155. Let b(j) = -3*n(j) - 20*o(j). Factor b(k).\nAnswer: -5*(k - 5)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 848 + -838 - (-77 - -1).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -312797, -312786, -312771, -312752, -312729?\n\"Answer: 2*f**2 + 5*f - 312804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/7)*a**7)**(5\/14)\/((a*a*a\/a**1*a)**21\/(((a*a**7)\/a)\/a*a*a**1)) assuming a is positive.\nAnswer: a**(-2580\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -55 - 77 + 211 + u**3 - 2*u**2 - 299*u - 77 - 2*u**3 as f + v*u**3 + i*u**2 + t*u and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12*(8\/(-12))\/(-2). What is the remainder when v\/(-8)*-278 - -2 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 791 + -788. Suppose 13*w - 583 = -g + 17*w, 3*w + 1794 = t*g. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (0 + 5 + 3) - -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 60022113 - 60022617.38399. Let c = f - -2.36169. Let b = -502 - c. What is b rounded to 3 dps?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence frr when three letters picked without replacement from {r: 11, f: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 249*j**2 + 266.\nAnswer: 498*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z - 2*z**3 - 2*z + (-15*z**3 + 55 - 55)*(-2 - 3 + 7) + (2*z - 3*z + 3*z)*(0*z**2 - z**2 - 2*z**2) + 5*z**3 + z - z.\nAnswer: -33*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 7*l + 14. Let x = -4 - 8. Let z = x - -19. Calculate the remainder when z is divided by c(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**6 - 1611*d**4 + 216*d**2 - 2*d wrt d?\nAnswer: -240*d**3 - 38664*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33041279?\nAnswer: 107, 109, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 22 = 2*d + 5, 0 = 2*c + 2*d + 4. What is the biggest value in 123, c, 0.2?\nAnswer: 123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (4 + -8 - -4). Let f(t) = 12*t. Let z(j) = j. Determine w*f(d) - 9*z(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 24976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -249, -963, -2165, -3867, -6081, -8819, -12093?\nAnswer: -15915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 113423235?\nAnswer: 113423230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 35971 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2 + 92969. Let k(h) = -2*h. Calculate i(k(b)).\nAnswer: 8*b**2 + 92969","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**5 + 144*t**4 + 2592*t**3 = 0. Calculate t.\nAnswer: -36, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40988164 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r - 7. Let o be n(5). Which is the closest to 2\/7? (a) -1\/12 (b) -0.5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281*z - 275*z = 0. Suppose z = 7*d - 25 - 73. Are 18 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f*f\/(f*(f\/f**18)\/f*f)))\/f*(f\/(f**3\/f)*f)\/f)\/(f**(-4\/13)\/(f**(-5\/6)\/f)) assuming f is positive.\nAnswer: f**(-1679\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 159 + -158. Let q be (2\/5)\/((-23)\/5). Which is smaller: q or g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 2*x - 4389278. Suppose x = -5*o - 3110722. Round o to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -318*x**3 - 1. Suppose -19*f = -17*f. Suppose f = 3*r - m + 3*m - 1, 4*m - 13 = 5*r. Is b(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4552629 + 4552629 - 3*d**2 + 2*d**2 + 4*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 1 = -m + 3*q, 0 = -3*q + 9. Suppose -m*g = g - o - 14, 6 = g + o. Solve g*h + 2*a = -0 + 12, h = 5*a - 3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116348 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 805008 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u. Calculate s(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1079985687 to the nearest integer?\nAnswer: 1026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -7*g. Let u(p) = -1315*p + 2. What is v(u(q))?\nAnswer: 9205*q - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-10))\/((3\/(1740\/8))\/2)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -367576227\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1206\/509?\nAnswer: 1206\/509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4*(sqrt(228) - (sqrt(228)*1 + sqrt(228) - sqrt(228)))\/sqrt(6)*-6)\/(sqrt(6)\/(sqrt(36)\/(sqrt(12) - sqrt(36)\/sqrt(3) - sqrt(12)))*3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + 58 + 32. What is the remainder when ((-2)\/(-3))\/((-8)\/(-1236)) is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -5*q**4\/24 - 1940*q**3\/3 - 752720*q**2 - 4311*q. Factor j(t).\nAnswer: -5*(t + 776)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 10*r**2 - 40*r - 6. Let o(c) = 15*c**3 - 140*c**2 + 560*c + 85. Let x(a) = 6*o(a) + 85*v(a). Factor x(g).\nAnswer: 5*g*(g - 2)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -105648*n**2 - 118*n + 708 wrt n.\nAnswer: -211296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/25 of a meter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-4))\/(4\/8). Let j be (-3)\/2 - 1\/2. Which is smaller: j or v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*f + 65 = -64 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -63*q - 953, g - 9389 + 9432 = -3*q for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -867 + 867 - 71*d - 32*d + 8*d - 15*d + (4 + 0 - 3)*(8*d + 4*d + d) to o + v*d and give v.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29951295.\nAnswer: 3, 5, 11, 181523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and 0.463821.\nAnswer: -2.782926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x - 15*x + 4 = 0. Suppose 5*u + 21 = -o + 107, o = x*u - 76. What is the remainder when 88 is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o**2 + 56*o - 26. Give i(18).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 150641 (base 8) in base 5?\nAnswer: 3204130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 12:32 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.2, -2\/11, -6, 2\/7 in ascending order.\nAnswer: -6, -2\/11, 0.2, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*q + 4*q**5 + 6*q + 3*q**3 - 67*q**3 + 48*q wrt q?\nAnswer: 80*q**3 - 384*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-26 + 0*x - 4*x + 2*x)*(4*x**3 + 4*x - 4*x) to the form j*x**4 + c*x + u + q*x**2 + z*x**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/(-42))\/(180\/(-315)))\/(3\/(-312))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lr when two letters picked without replacement from ldrlllr.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 1536?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ee74 - -4?\nAnswer: -ee70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.7 + -3. Let t = 974 - 974.0258. Let m = t + -0.1742. Which is the second smallest value? (a) v (b) m (c) -11 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 27926 + 190270 = 0. Suppose -37*f + p = -1291. Calculate the remainder when f is divided by 115.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d**2 + 11*d + 7. Let k be i(5). Let x be (-171)\/k*(-2)\/(-3). Solve 0 = -x*t - t - 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1934*j - 1943*j - 4*m = 85, 4*j + 88*m + 124 = 0 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 6\/7, 1\/2, 0, -2\/3?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1539 + -1545. Let o = 2 + -3. Let n be 0 - 1 - (o - v\/(-4)). Sort -4, -5, n.\nAnswer: -5, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, c: 6, u: 3, i: 1}. Give prob of sequence qqcc.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-6) + -4 - -5. Let d = 2 - -47. Let t = d - 49.4. Put -2, t, j, 0 in decreasing order.\nAnswer: j, 0, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-7)*p*p*p*p*p**(8\/3) assuming p is positive.\nAnswer: p**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -2, -0.3, 0.095 in ascending order.\nAnswer: -2, -0.3, 0, 0.095, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(14)\/(sqrt(2)*1))*-3.\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l + 0*l + 6*l)*(663*l + 715*l - 1578*l).\nAnswer: -200*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0106586 to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o. Let w(d) = 15*d**2 - 12. Let l(j) = -165*j**2 + 135. Let f(u) = 4*l(u) + 45*w(u). What is k(f(c))?\nAnswer: -45*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1188\/7 - -170. Let v = -30 + 32. What is the smallest value in v, x, 3\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 - -41.2. Let f(v) = -v**3 - 12*v**2 + 29*v + 15. Let r be f(-14). Let k be (r + -4)\/(1 - 6). Which is bigger: w or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of (-2)\/((-24)\/2) + (-2995)\/(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112201 (base 4) to base 16.\nAnswer: -5a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -3795\nAnswer: -2\/3795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10352*v**3 - 10359*v**3 - 79*v**2 + 79*v**2.\nAnswer: -7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3226562 less than 20.14?\nAnswer: -3226541.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 114353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 13*t**2 - 27*t + 68. What is m(11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1 + sqrt(68)\/sqrt(4).\nAnswer: -4 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 9*s**2 + 13*s - 24. Suppose -10 = -0*d - d. Let a be u(d). Solve 5*i = -4*c - 0*i + 8, a = 3*c + 2*i for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c + 7. Let k be i(6). Let u be 9\/(-15) - (-1)\/((-20)\/(-17)). What is the second biggest value in u, -0.3, k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*6*((sqrt(192) + 4)**2 + 3*(2*sqrt(192))**2).\nAnswer: 2304*sqrt(3) + 90432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -392 times 277?\nAnswer: -108584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (11\/(-4) + 2)*4. Let f be (1 + 2 + -2)*4. Let w(a) = -3*a - 3 + a**3 + f*a**2 + 6*a - 2*a. Determine w(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 213833900?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 7*b**2 + 3. Let l be a(7). Let p(u) = u**3 - 2*u**2 - 3*u + 4. Let r be p(l). Suppose r = 3*k - 5. Solve k*q - 19 = -4 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u**2 + 11*u + 9. Let d be a(4). Solve -d*g + r + 5 = 1, 0 = 3*g - 3*r - 12 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24909 - 11518. Let h = x + -482117\/36. Find the common denominator of h and -79\/30.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 2:47 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -431, -4, -6, 2\/9, -0.5, 3.\nAnswer: -431, -6, -4, -0.5, 2\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24276097049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-39))\/(264\/18 + -14).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 15*k**3 - 4*k**2 - 69*k + 13. Is d(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 8*t + 2. Let q be p(8). Suppose n - 4*m - 25 = 0, 42 + 4 = q*n - 4*m. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 bigger than -0.074213667?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -82 + 110. Calculate the greatest common factor of k and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 5 + 4 + -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 31*v. Let x(k) = 180390*k**2 - 3*k. What is i(x(j))?\nAnswer: 5592090*j**2 - 93*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280 is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h + 5. Let v(q) = q**3 - 8*q**2 + 2*q - 8. Let j be v(8). Let u be (j\/12)\/((-4)\/18). Let b(g) = -g + 4. Determine u*b(o) + 2*p(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s - s + 2*s)*(-8*s + 3*s - 6*s)*(-10*s + 52913 - 52913) to the form z + r*s**3 + d*s + g*s**2 and give r.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-6*(sqrt(756) + sqrt(756)*-3)*-6)\/(sqrt(72)\/(sqrt(96) - (sqrt(96)*-1 - sqrt(96)))))**2.\nAnswer: 47029253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - 2*(-201)\/(-6). Let p = -67 - j. Solve 4 = -p*i - 2*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13687 (base 10) in base 9?\nAnswer: 20687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4096 - 41550 - 29933 - 61484 - 26501 + 28669)*(y**4 + 0*y**4 + y**4) as f*y**2 + g + i*y + o*y**4 + m*y**3 and give o.\nAnswer: -253406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 12:13 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - -12 - (-770)\/(-70). Let u(s) = -28*s + 4. Determine u(l).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(-34)*d*d*d\/d**(10\/3)*(d**(-2\/5)*d)**(-3\/7) assuming d is positive.\nAnswer: d**(3613\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) - (sqrt(343) + 1) - sqrt(343)) + 3)**2 + (-1 + sqrt(343))*-3.\nAnswer: -49*sqrt(7) + 350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -7*(0 + 60\/(-14)). Suppose -y + 9 = -b. What is the lowest common multiple of ((-20)\/35)\/(18\/21)*(-12)\/1 and y?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 1\/6 (c) 0.5 (d) 2.519 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tssn when four letters picked without replacement from {n: 4, s: 6, t: 4}.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 395\/2 - 222. What is the common denominator of 23\/10 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 60. Let n = p + 47. What is the smallest common multiple of n and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -5*w - 20. Let x(y) = -y - 5. Calculate 2*t(v) - 9*x(v).\nAnswer: -v + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 2 + 4)*(-1 + 1 - 2*y)*(-73 - 2 + 21 - 51) to c*y + a and give c.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4920?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/16 - (-1075)\/344?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 4. Suppose s = -x + 6*x - 15. Suppose -2*l + 0*l = x*m - 122, -3*m - 12 = 0. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-9)*2\/16*-12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 7:22 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 1744 = 3*x. Find the common denominator of 71\/20 and 2\/(-8) - x\/(-352).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2.498026 millennia?\nAnswer: 2498.026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -101101010101 (base 2) to base 13\nAnswer: -1422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 468 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 - 23. Does 14 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5*d + 4. What is the third derivative of k**d - 4*k**4 + 2*k**2 - 2*k**4 wrt k?\nAnswer: -120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**2 - 4*s**2 + 2*s**2 - 4*s**2 + 2*s**2 - s**2 - 1 + 1 + s**2 + (3*s + 0*s - s)*(4*s - 2*s - 3*s))*(3*s - 2*s + 3*s).\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, 5, 104, 295, 608, 1073?\nAnswer: 1720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10367, -10374, -10383, -10394, -10407, -10422, -10439?\nAnswer: -10458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j - 2*j + j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 14*y. Suppose 2*c + 22 - 20 = 0. Let w be a(c). What is the units digit of 136\/7 + 6\/w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36*m**6 - 5*m**4 + 106206*m**3 - 39*m**2 + 573450*m wrt m.\nAnswer: -4320*m**3 - 120*m + 637236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + r + 3 - 5*r)*(-4*r - r**2 + 4*r + (2*r + 0*r - 3*r)*(0 + 2*r + 0)).\nAnswer: 9*r**3 - 9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ororor. What is prob of sequence ooro?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(6)\/sqrt(3))**2 - (sqrt(2) + -2 + -2)) + -4)*-4.\nAnswer: -72 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -413 + 410. Let s(g) = -169*g**2 + 7*g + 2. Let j(n) = -170*n**2 + 8*n + 4. Let i(l) = d*s(l) + 2*j(l). What is the second derivative of i(y) wrt y?\nAnswer: 334","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 9*k + 5. Let y(s) = -9*s. Let r(u) = -u**2 - 6*u - 1. Let q be r(-6). Let j be y(q). Let c be t(j). Solve 4*b + 11 = -c for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27600 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/11)*f*f)\/f)\/f**0*f**4*f*f*(((f\/(((f\/(f\/f**(-3\/4)))\/f)\/f*f*f))\/f)\/f)\/f*f*(((f\/f**4)\/f)\/(f*f**(-1\/5)\/f))**(4\/35) assuming f is positive.\nAnswer: f**(47231\/7700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -55*j**4 + 115*j**4 + 82*j**4 + (-11*j**3 + 11*j**3 - 8*j**4)*(-3 + 4 - 4) as n*j**2 + u*j + s*j**3 + f + z*j**4 and give z.\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -37*f + 4. Let g(n) = 6*n**2. What is v(g(s))?\nAnswer: -222*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7851905 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 5.156. Round w to 2 decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10898, -21847, -32790, -43727, -54658, -65583?\n\"Answer: 3*r**2 - 10958*r + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.28 (b) -1\/5 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 430816\/161 - 2676. Which is greater: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 3*l - l)*(-4 + 2 + 4)*(-95 + 131*l**2 + 95).\nAnswer: -262*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 31059961 > 31059962?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, v: 3}. Give prob of sequence vgv.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5391356267?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -6*c**3 - 6*c**2 - 1. Let q(f) be the first derivative of -17*f**4\/4 - 17*f**3\/3 - 2*f + 251. Calculate 8*o(t) - 3*q(t).\nAnswer: 3*t**3 + 3*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -6*n + n - 35, 4*i = 5*n + 20. Let j(p) = 12*p**2 - 8*p - 28. Let y(w) = 3*w**2 - 2*w - 7. Let f(t) = -2*j(t) + 9*y(t). Is f(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26975848?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 5*y**2 - 3*y + 12. Let d be i(0). What is the second derivative of 55*l**2 + 25*l - 30*l + d*l + 32*l + 122*l**2 wrt l?\nAnswer: 354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 607*o**2 - 10*o + 10. Let u(q) = -910*q**2 + 16*q - 16. Calculate 8*i(j) + 5*u(j).\nAnswer: 306*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 464565411 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 8*g - 5 - 2*g**2 - 5*g**2 - g**2. Suppose 2*n = 7*n + 35. Is q(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -5*p - 95. Let j be c(-19). Suppose j = -2*h - 273 + 8411. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1539?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/234544 and 101\/4?\nAnswer: 234544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 9:49 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -7953757.837 to the nearest 100000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2933 is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 147 + -126 - (-3 + 4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/1 - 3) + -1. Suppose -z = -m - 3. Let r = m - -18. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185535025.\nAnswer: 5, 13, 17, 33581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 5*x**2 - 37*x + 21. Let v be g(9). Solve -4*w = 2*w - v for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 77*f**3 - 3*f**2 + 8. Let y(c) = 154*c**3 - 7*c**2 + 18. Let g(i) = -14*h(i) + 6*y(i). What is the derivative of g(s) wrt s?\nAnswer: -462*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6144 divided by 3?\nAnswer: -2048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-8)\/(-2)*5\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -5*l**3 - 6*l**2 + 25*l + 82. Let j be w(15). What is j rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 7 - 5 = 0. Suppose -4*t - 4*i + 23 = -9*i, 0 = -t + 3*i - r. Calculate the greatest common factor of t and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, 34, -4, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 111073676 a multiple of 1087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -y - 818*c + 816*c, -3*y + 7 = -4*c. Solve -y*z = 4*o - 3, 2*z + 4*o - 859 = -853 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*h**2 - 2*h**2 + h**5 + 4*h**5 - 7*h**5 wrt h?\nAnswer: -120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52806504 divided by -3831.\nAnswer: 13784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 17*a - 538, -5*a + 97 = -4*p - 51 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kfk when three letters picked without replacement from kkfkfkffkkff.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 + 18 - 10 + 8 - 7)*(h - 4*h**5 - h).\nAnswer: -136*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -50*g - 37*g. Let r(y) be the first derivative of 0*y**2 + 1\/22*y**4 + g*y - 4\/33*y**3 + 10. Factor r(d).\nAnswer: 2*d**2*(d - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(85) - (1*sqrt(85)*-1 + sqrt(85) + sqrt(85))))\/(((sqrt(50) + sqrt(50)*-2)*5)\/sqrt(10)) + 0 + -5 + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*s + 10 = 0. Let n be 363\/396 - -3*1\/(-12). Which is bigger: n or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.01 + -0.01. Let x = c - -1. What is the closest to x in -2\/5, -5, -1\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(4\/(3 - 1)). Let g(m) = m**3 - 4*m**2 - 7. Let i be g(n). What is the units digit of (-4)\/i + (-92)\/(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 787 is divided by 42.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g + 8553 = 3*q + 16*g, -5*q - 3*g = -14287. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 159*z. Let c(o) = -42*o - 134. Give c(t(n)).\nAnswer: -6678*n - 134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 5*p + 7, 229*f + 3 = 230*f - p. Solve -k + 1 = i - 0*k, -28 = 4*i - f*k for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 318, 634, 950?\nAnswer: 1266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*l**4 + 4)*(14*l + 71*l - 10*l + 0 + 0 - 2*l + (0 + 2*l + 0)*(-1 - 6 + 3)).\nAnswer: -130*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62981, -0.2709, 0.3 in decreasing order.\nAnswer: 62981, 0.3, -0.2709","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z*z**(-2\/7))\/z)**(-8\/11)*(z\/z**1)\/z**(-1) assuming z is positive.\nAnswer: z**(-19\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -1586.8?\nAnswer: 6347.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6*(-10)\/(-20)*-2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 9*i = 11*i - 451, -4*w - 358 = -3*i. Let c = -68 - w. Calculate the remainder when 136 is divided by c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**9)**(5\/17) assuming t is positive.\nAnswer: t**(45\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -741, -738, -725, -696, -645, -566?\n\"Answer: t**3 - t**2 - t - 740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - s**2 - s + 1. Let u(z) = 311*z**3 - 4*z**2 - 8*z + 7. Determine -6*a(m) + u(m).\nAnswer: 317*m**3 + 2*m**2 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -65.1 and -29.\nAnswer: 1887.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6666 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 904034840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*k, 9*k = -2*d + 12*k - 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*a - 491 - 9519 = 0 for a.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*b - 106 = 2155 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a - 26. Let d(q) = 4*q - 52. Let t(o) = -3*d(o) + 5*r(o). Let n be t(11). Suppose -169 = -n*b + 107. List the prime factors of b.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144483?\nAnswer: 3, 17, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wyz when three letters picked without replacement from azooyoozzoyoohwoowo.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 5:46 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -0.09, 1\/3, -3\/2, 2\/9, 304?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**2 - v + 49. Let a be i(-5). Suppose 0 = -a*z + q + 4444, z = 5*q + 83 + 1028. What are the prime factors of z?\nAnswer: 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 1197*o**3 + 3*o**2 - 7*o + 7. What is the hundreds digit of u(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -14 - -5) + -8 + (0 - -18)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.28721, 7, -3\/5 in decreasing order.\nAnswer: 7, 0.28721, -3\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y + 2*x = 4*y + 4, -5*y + 4*x = 8 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24332235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6033*q**2 - 6*q**3 + 6*q**3 + 13*q**3 + 6033*q**2.\nAnswer: 13*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 37 = 37. Solve g = d - 2 - 3, -q + 4*d - 24 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pt when two letters picked without replacement from {u: 2, p: 5, r: 7, t: 3}?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 + 201002?\nAnswer: 200201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 14*z**3 + 59*z**2 + 5*z - 26. Let q(h) = 7*h**3 + 30*h**2 + 2*h - 11. What is 7*q(b) - 3*y(b)?\nAnswer: 7*b**3 + 33*b**2 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 96367741963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/3)\/(-1))\/(109 + 114655\/(-1035))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = -17*l - 21 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -48 + 9 + 14 + q + 9 + 17. Suppose 5*a = -5*k + 6*k - 22, 14 = -3*k - 5*a. Give c(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-1\/4)*z*z)\/z)\/(z*z**(-6\/7)))**(3\/14) assuming z is positive.\nAnswer: z**(135\/392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 34585 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1608579.\nAnswer: 3, 7, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -343 + 3645. Let c be (-4)\/(-7) + f\/(-4823). Let x = 244\/1219 + c. Is 0 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**2\/2 - 69*j - 4761\/2 = 0. Calculate j.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -66 or -24\/13?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2*t*t*t**(-3\/2)*t)**(-8) assuming t is positive.\nAnswer: t**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/4816 and -83\/13244.\nAnswer: 52976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -604520 - -1.9?\nAnswer: -604518.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) + -2*sqrt(228))\/sqrt(12) + 2 + 2 - (sqrt(513)*6)\/(sqrt(3) - 6*sqrt(6)\/sqrt(2)).\nAnswer: 4 + 13*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fnnfvnnfssnundd. Give prob of picking 3 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 140 - 1683. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen eighths of a week?\nAnswer: 16380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1588673 is divided by 2554?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-two fifths of a decade?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 11:59 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d - 4*d + 3*d**2 + 72847987*d**3 - 72847986*d**3 - 3*d**2.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x**2 + 11*x + 6. Let l(t) = -4*t**2 + 17*t + 9. Let i(b) = 5*l(b) - 7*m(b). Let q be (2 + 2 - -5) + -2. Does 23 divide i(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 30*x**2 - 19*x - 599. Calculate o(-30).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*j + 262 - 62. Let w be ((-4)\/(-14))\/(j\/(-175)). What is the third derivative of b**2 - 9*b**w + 22*b**2 + 22*b**2 - 7*b**3 wrt b?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2467 + -2131. Calculate the greatest common divisor of h and 924.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0181 - 2.\nAnswer: -2.0181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 5*n + 12 + 6*n - 4 + 2*n**2 to the form m*n + d + i*n**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84) - 3*sqrt(84))*1 - (2*(sqrt(84) + sqrt(84)*-3) + sqrt(84)))\/((-1*-1*sqrt(72))\/(sqrt(18)\/sqrt(48))))**2.\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -1\/3, 18, 377, 3, 0 in descending order.\nAnswer: 377, 18, 3, 2\/3, 0, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 divided by -994?\nAnswer: -115\/994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33\/5 of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -88*t + 33*t. Let m(d) = 4*d**3 - 10*d**2 + 7*d - 5. Determine m(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1*k\/(k*k**2))\/(k**(-1\/2))**(-10) assuming k is positive.\nAnswer: k**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 23*-26\nAnswer: -598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 + 539*a**2 + 404*a**2 + 926*a**2 + 48 - 81)*(2 - 2 - a**3).\nAnswer: -1869*a**5 - 5*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 31.8\nAnswer: -9.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5*(2 - (-10)\/(-4)). Let b = 6.11212 - 0.11212. Put b, 1, i in increasing order.\nAnswer: 1, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13948, 13662, 13182, 12502, 11616?\nAnswer: 10518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -812 - 7326. Let z = 162801\/20 + u. Calculate the common denominator of z and -81\/202.\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.14 - -8.\nAnswer: 18.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20193.305 * 20.\nAnswer: -403866.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d**3 - 2*d**2 + 2*d - 1. Suppose 0 = 3*c + 2*p - 43, 2*c - p - 32 = -4*p. Suppose -13*v + 26 = c. What is b(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21114546?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5102523 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-3))\/((-16)\/288). Factor -10*f**3 + 50*f**4 - 52*f**4 - u*f**2 + 4*f**2.\nAnswer: -2*f**2*(f + 1)*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*o**5*q - 59385*o**4*q**2 - 3*o*q**2 - o*q - 105*q**2 - 16 wrt o.\nAnswer: -60*o**3*q - 712620*o**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a36 + 3?\nAnswer: 3a39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-276)\/((-9)\/3) - (3 - 5). Let d = p + -92. Let f(x) = 10*x + 3. Let k(m) = 3*m + 1. Calculate d*f(y) - 7*k(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 10 = 3*u. Let i(v) = 8*v + 36. Let q be i(3). Suppose q = 5*j + 5*l, -j + u*l = -4*j + 31. What is the highest common factor of j and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 5*s - 32, 2*s = 3*h - 6 + 2. Let u = -2 + -1. Let o = -3.5 - 0.5. Which is the third smallest value? (a) u (b) s (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 470128, 940270, 1410422, 1880590, 2350780, 2820998?\n\"Answer: b**3 - b**2 + 470138*b - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 590 divided by 118?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1593.184 rounded to the nearest 10?\nAnswer: -1590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o + 4. Let t be d(0). Suppose -t*z + l - 243 = -1675, -2*z + 716 = -4*l. Suppose 81 = i + 3*p, 0 = -4*i + 5*p + z - 85. Does 24 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -38304*q + 1800172. What is n(47)?\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((48\/15)\/(-2))\/(-15 + 1135\/75)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -86*h**2 - 29*h - 15. Let l be v(10). Is 1 - (l - (-5 + 1)) - -1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2 + 4*a + 2. Let j = 18 - 20. Let y be f(j). Suppose r = -0*r + y. Put -3, r, 3 in decreasing order.\nAnswer: 3, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1334.648 + 1336. What is u rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - y. Let u(h) = 5*h**2 + 8*h - 3. Let d(o) = u(o) + 4*x(o). Suppose 0 = f - 6*f - 25. Determine d(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -7*n**3 - n**2 - 6*n - 14. Calculate j(-3).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g - 14. Let h be r(8). Suppose 3*u + 2*a - 17 = 0, -3*u - 4*a + 15 = 2. Let t = h - u. Let p(o) = o**2 + 3*o - 5. Give p(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.6394799 years?\nAnswer: 0.006394799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46 + -31. Let n be ((-9)\/r)\/(3\/(-345)). Is (10 + -9)\/(1\/n) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -0*f + 1. Let z be -5*(-3 + 2)*f. Suppose -3*v = -z*c - 33, -c + 15 = 3*v - 0*v. Solve -d - d = -v for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 615.38 centuries in decades?\nAnswer: 6153.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 85\/(-51)*(-2)\/5*51\/85. What is the nearest to -6.3 in l, -1, -1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -494.5 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-19)\/(-2))\/(5\/(-20)). Let i = u - -191. Suppose i = p + 2*p. Is p a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 628*a**5*g**2 + 363*a**2*g**2 - 53935*a - 6*g**2 wrt a.\nAnswer: 12560*a**3*g**2 + 726*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 18*i + 51 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - d = -657 + 6271, 4*d = -5*o + 5594. Is o a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 129 and 255291.\nAnswer: 255291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, j: 1, z: 1, c: 1, g: 2, n: 2}. Give prob of sequence ncjn.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 291258655 to the power of 1\/2, to the nearest integer?\nAnswer: 17066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -444 + 448. Let o(p) be the second derivative of -1\/2*p**2 - 16*p + t*p**3 + 0. Find the first derivative of o(c) wrt c.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -d**9\/84 - 49*d**5\/60 - 2*d**2 - 12. What is the third derivative of p(b) wrt b?\nAnswer: -720*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 68*r**2 - 19*r + 20. What is the remainder when x(3) is divided by 116?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + 39 + -11 - (2 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - (0 - (5 + -3 + 1)). Solve 5*g + 3*w + w = a, 0 = 2*g - 3*w + 23 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -229, -191, -93, 95, 403, 861, 1499, 2347?\n\"Answer: 5*t**3 + 3*t - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - d = 5*d - 15, 4*z + 0*z - 126 = 7*z - 20*d + 10 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -193734116*v**5 + 167423508*v**2 wrt v?\nAnswer: -11624046960*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 3*r = 33. Let u(p) = p**3 - 11*p**2 + 2*p + 26. Let w be u(r). What is the highest common divisor of w and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 205 + -205. Let u be (-7 + 5)\/(-4)*y + 2. Solve -3 + 1 = -u*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - d**2 - 4*d - 3. What is h(-3)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15726 by -4.\nAnswer: -7863\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 81.633 to one decimal place.\nAnswer: 81.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26738544?\nAnswer: 2, 3, 7, 79579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -3*d - 81, -d + 3*t - 27 + 0 = 0. Let o = d - -17. List the prime factors of (-4)\/o + (-252)\/(-20).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 114*v**2 - 389*v - 258. What is x(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 444 divide 13764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -q**3\/6 + 5*q**2\/2 + 75*q - 1. Determine a(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 7*h**2 + 3*h - 5. Let y = 325 + -329. Is l(y) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*sqrt(513))\/sqrt(9)*-5)\/(6*(sqrt(108) + -3*sqrt(108))) + 5 + 0)**2.\nAnswer: 25*sqrt(19)\/9 + 8575\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.5 - -0.2.\nAnswer: -7.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 3.12\nAnswer: -2.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1022024232432 - 4?\nAnswer: 1022024232423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 0, -8, 18 in increasing order.\nAnswer: -8, -2, 0, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5234.49 - -5293. Let g = 2.39 + y. Round g to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1893 * 22.\nAnswer: -41646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 28*o**2 - 61*o + 35. Let r be a(30). Let b(l) = -l + 5. Suppose 17*n + 66 = 6*n. Let z(f) = -f + 6. What is n*b(g) + r*z(g)?\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(1716\/65))\/(((-60)\/(-9))\/4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131, 1477, 5139, 12275, 24043, 41601, 66107, 98719?\nAnswer: 140595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -834*i**2*k**2 - 2*i**2 - 428*i*k + 9378313*k**2 with respect to i.\nAnswer: -1668*i*k**2 - 4*i - 428*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/39)\/f)\/f)\/f*f**(-12)*f**(-1)*f**(2\/9)*f assuming f is positive.\nAnswer: f**(-1723\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60 - 42. Let u be (-8)\/j*32\/(-64). Which is the third biggest value? (a) u (b) 3\/4 (c) -16 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 589 - 589.5. Let w be (4\/(-6))\/(38\/(-6)). Which is the second smallest value? (a) -4 (b) w (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 670853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 7 + 1 = -3*a, 3*i + 4*a - 1 = 0. Let x = i - 7. Is 11*6\/3 + x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000112110 - -10?\nAnswer: -1000112100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = o + 15, -g - 4*o + 4 + 4 = 0. Suppose 4*k + 6*q - 116 = g*q, -3*k + 77 = -q. What is the greatest common divisor of 18 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-143)\/13 - -10) + (0 - -4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**5 + 3*g**4 + 90*g**3 + 222*g**2 + 201*g + 63.\nAnswer: -3*(g - 7)*(g + 1)**3*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 579100 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*j + 6, 0*s = -2*s - 3*j - 10. Let g = -4 - -3.6. Let a = 0.2 + g. What is the closest to -0.1 in s, a, -3\/8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-532*i**2 - 534*i**2 + 20*i**3 + 1059*i**2)*(10*i**2 + 3*i - 3*i) + (5*i + i - 5*i)*(0*i**3 + 0*i**3 + i**4).\nAnswer: 201*i**5 - 70*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -412 + 999. Let y = 591.3 - f. What is the third smallest value in -3\/5, 0, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 2*l - 424, -7*h + 6*h - 86 = -l. Is (-78684)\/h + (-6)\/(-21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21812 to the power of 1\/2, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 3 + 7)*(-i + i - 2*i) - 3*i - i + 2*i + (-6 + 3*i + 6)*(2 + 1 - 2))*(-7*i + 7*i + 5*i**2).\nAnswer: -25*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1976b5 (base 15) to base 10\nAnswer: -1240145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3840409501?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -35?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11a3b9 (base 13) in base 12?\nAnswer: 1845ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3 + 0 - 6 - 4 + 4*g. Calculate the remainder when t(11) is divided by 2 + 2 + 14 + 2.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2, -3, 3\/32.\nAnswer: -3, -2, -0.1, 3\/32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -197066 and 1.\nAnswer: -197065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 900\/(-24)*424\/(-2650).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15376, -13318, -11260?\nAnswer: -9202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 552 and 960?\nAnswer: 22080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -5, -3, 1\/5, -2109\/10 in descending order.\nAnswer: 1\/5, -0.1, -3, -5, -2109\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 22, 0.5 in decreasing order.\nAnswer: 30, 22, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 2*p - 14. Let s be f(-4). Let r(g) = g**3 - 12*g**2 + 10*g + 22. Let z be r(s). Let i = 79 + z. What is the remainder when i is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + t - 4. Let s(u) = 7*u**2 - t - 1 - 1. Let n be s(-3). What is the highest common divisor of n and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 45 = -5*m, -m + 239 = -2*h + 233 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 147423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) 0.2 (c) 1 (d) 15 (e) -1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30688 + -32994. Do r and -2306 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**4 + 0*l**4 + l**4)*(9*l - 4*l - l).\nAnswer: -8*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2405 and 116883?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3302304 by 26848.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (238\/21)\/(4\/126). Suppose 101 = -4*r + s. What is the remainder when r is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**3\/3 - 79408*i**2\/3 + 158819*i\/3 - 26470 = 0.\nAnswer: -79410, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1827700 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vdsdsddsdddsvd. Give prob of sequence dvds.\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1365590723 + -1365590722.8404357422. Let o = m + 46.2404402822. Let l = o - 46.4. What is l rounded to 7 dps?\nAnswer: 0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -29, -75, -145, -239?\n\"Answer: -12*g**2 - 10*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2087112um in centimeters?\nAnswer: 0.00002087112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 6*l**2 - 4*l - 9. Determine i(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1498*r - 155*r + 1294*r.\nAnswer: 2637*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 47*j - 12. Let i be p(-26). What are the prime factors of (-6)\/27 - i\/9?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2691*g + 318465 + 74005 = 3347*g for g.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/949 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**3 - 2*z**3 + 3*z**3)*(5 - 4 + 0)*(-988 - 3590 - 3583 + 1542).\nAnswer: 6619*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -16 - 1 + 257*h**2 - 522*h**2 + 257*h**2. Let x(z) = 2*z**2. What is i(x(g))?\nAnswer: -32*g**4 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 12:31 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b - 1. Give a(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -105203 + -1255?\nAnswer: -106460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -127813, 0, 5, 2\/11, -0.5, -0.05?\nAnswer: -127813","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -5*n**2 - 4. Let t(i) = -4*i**2 - 4. Let c(g) = 5*b(g) - 6*t(g). Let j be c(0). What is the third biggest value in -1, 0, -0.6, j?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -5, 0, -25\/83, -2\/457?\nAnswer: -25\/83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 218, 888, 2012, 3590?\n\"Answer: 227*g**2 - 11*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -8. Let r be (1\/(-3))\/(4 + 148\/(-36)). Determine j, given that -r*j**2 - 3*j + 4*j + 3*j**4 + 3*j + w*j - 6*j**3 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*d - 35*d + 23 - 23 in the form w + x*d and give x.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 16, 1\/8, -0.4, 7\/4?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 56779, 56450, 56121, 55792?\n\"Answer: -329*h + 57108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 8:37 PM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/2 and 4 - ((-201)\/30 + 4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0246584103 rounded to 3 decimal places?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -75 divided by -6\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 6*t**2 + 2*t + 1. Let y(r) = -5*r - 4. Let s be y(34). Let n = 176 + s. Give k(n).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2156 and 5324?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 144825834 less than -1.65?\nAnswer: -144825835.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 81911459 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 79 + -46. Calculate the remainder when n is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 558\/30 + 3\/(-5). Let g = u + -15. Suppose -g = 3*p - 4*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11267 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w = -4*w + 140. Let o(c) = 48*c**3 - 20*c. Let t(y) = 7*y**3 - 3*y. Determine w*t(n) + 3*o(n).\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1811?\nAnswer: 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -1530*k**3 - 1683*k**2 - 6*k + 6. Let y(s) = -s**3 + 3*s**2 - s + 1. Let u(f) = -b(f) + 6*y(f). What is the third derivative of u(m) wrt m?\nAnswer: 9144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/7 + (-120)\/(-21). What is the derivative of -4*r**2 - 2*r**2 + 3*r**2 - v wrt r?\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wgwz when four letters picked without replacement from {z: 2, g: 4, w: 5}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 7168436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 8:54 PM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -60.46 - -69.4552. Let d = -14 + 5. Let m = d + k. What is m rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1026664625, -1026664618, -1026664607, -1026664592, -1026664573, -1026664550, -1026664523?\n\"Answer: 2*p**2 + p - 1026664628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -3 (b) 2\/279 (c) 1420\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*y, 24*o = 22*o - 5*y + 15182. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/9 (b) -10 (c) -7 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13044 is divided by 6513?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7997 + 3408 + 6006 = -757*x for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -140 + 214. Let z(h) = 3*h**2 - 35*h + 13. Let x = 60 - 46. Let s be z(x). What is the greatest common factor of i and s?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1095260381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -254 + 259. Suppose -4*c + 4 = s - 4, -2 = -2*c - s. Suppose -c*b + 2 + 4 = 0. What is the least common multiple of b and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -654, -1303, -1954, -2607?\nAnswer: -3262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 2, 0.16, -2, -4 in descending order.\nAnswer: 2, 0.16, -1\/2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.3, -5\/2, -1\/10, 8, 3\/13 in descending order.\nAnswer: 8, 3\/13, -1\/10, -0.3, -5\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 5\/4, -5312, -11.07?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k + 3*k**5 - 6*k + 9*k + 2*k**5 - 3*k**4 + 3*k**4 + (-k**3 + 2*k**3 + k**3)*(0*k**2 - k**2 + 3*k**2).\nAnswer: 9*k**5 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-5*(sqrt(448)*-1 - (1 + sqrt(7) + 5))*2)**2)*-6.\nAnswer: -361830 - 64800*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -18*t - 146. Let d be (3\/(-18) - 2\/6)*18. Does 16 divide r(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 60*u**2 + 16*u + 15394. Calculate f(64).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -0*c + 3*c. Let a = -6 + c. What is the remainder when 52 is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i + 8. Let c(h) = -4*h + 8. What is -5*c(x) + 4*l(x)?\nAnswer: 4*x - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b - -46b0?\nAnswer: 46bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 v when three letters picked without replacement from {v: 5, a: 1, o: 12}.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 394, 15, -1 in increasing order.\nAnswer: -1, 15, 394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p - 61. Let x be d(-30). Let k(n) = n**3 + n**2 - n - 1. Let y(j) = -5*j**3 - 6*j**2 + 13*j + 6. Calculate x*y(b) - 6*k(b).\nAnswer: -b**3 - 7*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - (-3 - 9)) + -5. Let z(d) = 11*d**2 - 6*d + 3. Let c(r) = -7*r**2 + 4*r - 2. Let s = -11 - -19. Give s*c(w) + u*z(w).\nAnswer: -w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4\/707 + -65615\/24038. Calculate the common denominator of i and 31\/10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15540.7 - 15535. Which is the biggest value? (a) 5 (b) r (c) 1 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -581 - -4?\nAnswer: -579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 26.6424714 seconds?\nAnswer: 0.0003083619375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 + (-22 - 7) - (-28 - -1)) + -14?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 695 - 707. Let a(r) = -r**2 - 43*r - 372. Let v be a(d). Factor 0*j + v - 4\/15*j**3 + 2\/15*j**4 + 2\/15*j**2.\nAnswer: 2*j**2*(j - 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h + 0*h + 7*h - 23*h + 7*h. Let f(r) = -76*r**2 - 2. Determine w(f(t)).\nAnswer: 608*t**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**6)**(-44) assuming p is positive.\nAnswer: p**(-264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - m - 4*m = 246590, -5*m = f + 82190. What is f rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 51*c**3\/2 - 231*c**2\/2 + 90*c.\nAnswer: 3*c*(c - 1)*(17*c - 60)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4133 - -45410\/11. Let a = 188557\/5180 + -182\/5. Let l = -9713\/518 + a. What is the common denominator of l and p?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4568423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*t + 69148 - 63928 = 0 for t.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 793256675 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + -2. Let p be m\/(-14) + 133\/49. What is the units digit of (2\/(-3))\/((-2)\/p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -5*l. Let q(n) = -2*n + 5. Let v(z) = -1. Let j(s) = -q(s) - 5*v(s). Give r(j(d)).\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 345 and 30981?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 77 = 7*o, -4*p + 13 - 2 = o for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4978, 9963, 14932, 19879, 24798, 29683, 34528?\n\"Answer: -x**3 - 2*x**2 + 4998*x - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 230 = -810. Suppose 28 = 2*c + 148. Let d = c - b. What is d rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79 + -74. Let w = -10\/39 + 82\/117. Let k = w - -1\/18. Which is the closest to 1? (a) m (b) 1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 700 and 704 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-3)\/u**(-3\/4)*u**(-9)*u**(7\/6)*u assuming u is positive.\nAnswer: u**(-109\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*t**3*y**2 + 71*t**3 + 16*t**2*y**2 - 57*t**2*y wrt t?\nAnswer: -120*y**2 + 426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -11 (b) 5\/7 (c) -4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 49376.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 5. Let k = z - 9. What is the units digit of (-2)\/k - (-1)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 936258814 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -153.1 - -87.9. What is v rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**4 + 5*u**3 - 9*u - 5. Let a(f) = -5 + 0 + 0 - 4*f + 3 + 2*f**3 - f**4. Let g(z) = 5*a(z) - 2*i(z). Find the second derivative of g(s) wrt s.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*w - 44 = 94*w + 2*u, -u = 4*w + 13 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (854\/(-3))\/(-7)*786. Let x = -73005775\/2284 + u. Let n = -13669\/79940 - x. Do n and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 0.04484733\nAnswer: -0.04484733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 11:31 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4 - 54 = 0. Calculate the least common multiple of 11 and v\/(-25)*70\/(-4).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 p when four letters picked without replacement from xxxxxxpxxxxppxxxxp.\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -159, -239, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 698300138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {d: 7, r: 5, w: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h - 2*j - 2, 9*j + 3 = 12*j for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.4, -2\/19, 0, 0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2834 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 233 + -232. Let b = 8 - 11. What is the biggest value in v, 0, b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**5 + 127*h**3 + 100281*h**2 - 1781448*h + 8 wrt h.\nAnswer: -20*h**3 + 762*h + 200562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10323666 and 444.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -b**5\/4 + b**4\/4 + b**3\/3 - 3*b + 1. Let f(d) be the first derivative of a(d). Let f(v) = 0. Calculate v.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - -37. Let j(p) = 2*p**2 - 5*p - 6. Let h be j(6). Let k = h - 7. What is the remainder when d is divided by k?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1164454829\/18 - -64673262. Suppose 9608 + 27750 = 2*h. Let f = n + h. Find the common denominator of f and 53\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 784?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -2*a + 2, -a - 20828*v = -20831*v - 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2100.05 + 2100.1. Let y = -0.3 + 0.2. Suppose -2*h - h + 3 = 0. What is the nearest to y in h, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)*1)\/sqrt(6))\/(sqrt(8) + (sqrt(32) + sqrt(8))*-6 - sqrt(8)).\nAnswer: -sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6399, -27488, -48577, -69666, -90755?\n\"Answer: -21089*a + 14690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6c - -a?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*q - 456 = 132. Let y be 73\/5 + 6\/(-10). Suppose 4*f + f - d - 12 = 0, -4*f + 3*d + y = 0. Solve 0 = w - 2*m - f*m - q, -m = 5*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (2 + -1 - 4)) + 4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h. Let w(o) = 8238*o**2. What is v(w(u))?\nAnswer: 16476*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of 0 - 10*m**2 - 3\/2*m**3 + 0*m**4 + 0*m**5 - 1\/35*m**7 + 0*m + 0*m**6. Find the first derivative of p(b) wrt b.\nAnswer: -24*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47 (base 8) to base 7\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 637 and 1157?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-12))\/(90\/(-2285)). Let q = d + -61\/9. Calculate the common denominator of q and -55\/6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u - 9. Suppose 119*q - 68 + 663 = 0. Let d(f) = 2*f - 4. What is q*d(w) + 3*n(w)?\nAnswer: 2*w - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -3*j + 9, 4 = -4*j - 6*b + 2*b for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -7870*j**3 - j**2 + 5*j + 6. What is the tens digit of h(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y + 16. Let a be o(-13). Let v(t) = t**2 + 6*t + 7. Calculate the remainder when v(a) is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29174 divided by -503\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(6\/9) - 1. Is 2 a factor of (4 - x)*(-5)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 251826.\nAnswer: 2, 3, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 138\/(-66)*-1 + (-3 - 6 - -7)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3541*i - 2751354. Calculate g(-777).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 1297 = 915. Suppose -f = -0*h + 5*h - 551, 0 = -5*h - 3*f + s. Calculate the greatest common factor of 10 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*b + 17381415*b**2 + 1 - 17381415*b**2 - 4*b**3 to n*b**3 + g + p*b + r*b**2 and give p.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y - 9. Suppose -g - 17 = -z + 3, 0 = -z - 2*g + 5. Suppose z = 3*k - 21. What is the remainder when k is divided by a(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(49)\/(sqrt(7) + sqrt(63)) - sqrt(7))*-1 + -6*sqrt(42)\/(sqrt(216)*5).\nAnswer: 11*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of -l**4\/24 - 3*l**2. Let u(i) = 2*i + 3*i - 3*i. What is u(n(z))?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -35, -147, -365, -725?\nAnswer: -1263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6412.74 weeks?\nAnswer: 3878425152000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + -6. Let s be (-2 + 3)*(-3)\/p. Let t = -2 - -1. Is t greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand k + 2*k**3 - k + (k**2 - 4 + 4)*(2*k + 4*k - 5*k).\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3013 + -0.1013. Sort -7, -29, v.\nAnswer: -29, -7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - k + 1. Let t(r) = -2*r**2 + 14*r - 9. Let d be t(6). Suppose n + n = d*n. Determine z(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(637) - (-2*sqrt(637) + 1)) + sqrt(637))**2*5 + 3)*1.\nAnswer: -1400*sqrt(13) + 254828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -6*m. Suppose m = 2*k + y - 2*y + 5, 0 = -5*k + 4*y - 5. Let o be ((-24)\/20)\/(2\/k). Put 0, 2, o in decreasing order.\nAnswer: o, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16876 + -0.6?\nAnswer: 16875.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -84, -1205, -4398, -10701, -21152, -36789, -58650, -87773?\n\"Answer: -173*y**3 + 2*y**2 + 84*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/((-2457)\/308) + (-18)\/27.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11092 - 221839\/20. Let f(a) be the first derivative of 0*a + 0*a**3 + c*a**5 + 0*a**2 - 46 - 3\/16*a**4. Factor f(g).\nAnswer: g**3*(g - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 3*s - 2. Suppose -3*w - 3 = -5*o, s - 6 = 2*o + 4*w. Suppose 0 = 4*r - 3*n - 135, o = r - 4*n - 18 - 19. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 535178 and 2088338.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 78956206099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10*21\/(-7)*(-13)\/((-1989)\/510)\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1509)\/(-12) - (-2 + (-42)\/(-24)) is divided by 69.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 2382\nAnswer: -476.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nz when two letters picked without replacement from zznnz.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j - 25. Let r(v) = 882*v - 20475. Let t(n) = 1638*g(n) - 2*r(n). Let w(u) = 18*u. Calculate 5*t(x) + 36*w(x).\nAnswer: 18*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 680172 (base 11) to base 7.\nAnswer: 12132166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-2\/47))\/(n*n\/((n**(-1\/7)\/n)\/n*n)))\/(n\/(n\/(n*n\/(n\/(n\/(n*n**0\/n)))))*n**12) assuming n is positive.\nAnswer: n**(-5297\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -55*h**3 + 29*h**3 + 30*h**3 + (h - h**2 - h)*(1 - 1 - 2*h) - 3*h + 2*h**3 + 3*h.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2762, 3146, 4188, 6218, 9566, 14562, 21536?\n\"Answer: 55*t**3 - t**2 + 2*t + 2706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4*k + 11*k - 4*k. Let z(t) = -4*t - 73 + 35 + 38. What is s(z(d))?\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1)*(-1032147*f**2 + 1032147*f**2 - 87*f**3 + 10*f).\nAnswer: -174*f**3 + 20*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 350 + -290. Calculate the greatest common factor of l and 516.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -5 + -4 + 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -167*y**3 - 6*y + 2. Let s(t) = -168*t**3 - 5*t + 1. Let b(u) = -3*g(u) + 4*s(u). Let l be b(-2). What is l rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21586*p + 10787*p + 10*p**3 + 10791*p - 2*p**2 to the form q*p**3 + j*p + w + g*p**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1722\/154 + (-2)\/11 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1764 - 391*b**2 - 1773 - 1772 + 389*b**2 + 5318.\nAnswer: -2*b**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, j: 3, q: 4, i: 1, e: 2, r: 3}. What is prob of sequence rjjr?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -115, -5, -7, -4, -2 in descending order.\nAnswer: -2, -4, -5, -7, -18, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3776 and 24.\nAnswer: 11328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4 = 2*n. Find the first derivative of 625*k**2 + 3 - 625*k**2 + 9*k**n wrt k.\nAnswer: 36*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -950677.297 to the nearest 10.\nAnswer: -950680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*z - 6*z + 6*z)*(-1 - 2*z**3 + 1 + (-5*z + z + z)*(-z**2 - 3*z**2 + z**2)) as i*z**2 + o + t*z**3 + f*z + p*z**4 and give p.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-5) - 14\/(-10). Let r = -8.684 + 8.484. Which is the second biggest value? (a) 0.07 (b) r (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -1263*u + 1262*u - 5, 3*h = -4*u - 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3303067619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 47. Let g be (w\/(-35))\/(4\/10). What is the second biggest value in 2, g, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 1:30 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + h + 0*h = -15, 5*q = 4*h + 32. Suppose -47 = -5*o - 3*s, -6 = -q*o + 3*o - 4*s. Suppose -9*u - 4 = -o*u. Solve -2 = -3*m + u for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -24 - -1?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 264*r**3 + 376*r**3 - 524*r**3.\nAnswer: 116*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -440, -955, -1566, -2321, -3268, -4455, -5930, -7741?\nAnswer: -9936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211066 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1*(-4)\/(-3))\/((-12)\/18). Is 2 at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 51 = -3. Let o be v\/24*(-9)\/(-6). Let j be o*3 - (-293 + 11). What is the greatest common divisor of 31 and j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 265134917 + 287*s**2 - 265134920 - 284*s**2.\nAnswer: 3*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -53 + 145 + -92 - (18 + 1).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -177 + 182. Which is the second smallest value? (a) -21 (b) y (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 8 + 5 - (17 + 14 + -17 + 9).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o + 9 + 0*o - 2*o. What is the least common multiple of d(7) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d - 12. Let o be p(18). Solve -o*x + 8 = -b - x, 0 = -3*b + 2*x + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + -2 + (-8 - 49). Is v at most as big as -62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26883665077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -235, -809, -1627, -2575, -3539, -4405, -5059?\n\"Answer: 19*q**3 - 236*q**2 + q - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (6 - (3 + 5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 138 + -136. What is the third smallest value in -0.1, -0.5, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 6050 = -j, 1 = 4*j + 21. What is the units digit of 2 - (3 - (-1 + l))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 0, -4*m - 5*w - 7*w = -11*w + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -31371?\nAnswer: -31369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -741*i + 732*i = 0. Let l be (-15)\/(-4) - 10\/(-40). Solve i = -3*b - l + 19 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.077257605+-1.72\nAnswer: -1.642742395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.23, -2\/11, 5, -3 in decreasing order.\nAnswer: 5, -2\/11, -0.23, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4720426?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*x - 8324 = -29*x + 972. Calculate the greatest common factor of x and 1079.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 + -3 + -30 + 7?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1536)*-1)\/(-6*(sqrt(8) + -2*sqrt(8)) - (sqrt(96)\/sqrt(4))\/sqrt(3)).\nAnswer: 24*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (36\/16)\/(4\/(-32)). Put -4, j, 3 in decreasing order.\nAnswer: 3, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*z + 0 + 97*z + 0 - 183*z.\nAnswer: -248*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 15719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**26*h*h)\/(h**(13\/5)*h) assuming h is positive.\nAnswer: h**(122\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-248)\/(-6) + 24\/36. Calculate the highest common factor of y and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 + -34 + -3 + -1 - ((18 - 19) + 93)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 29*f - 203. Let b be k(7). Solve b = 9*o - 26 + 35 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 342*m - 1755. What is a(5)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 8*k + 8. Let u be o(-6). Let w(q) = 5*q - 13. Let s be w(u). Let f = s + 34. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 4 - (-1677)\/((-2)\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 280762 (base 10) to base 15.\nAnswer: 582c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) -3\/8 (c) 3\/2 (d) 2\/11 (e) 4 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16612526?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-759)\/92 - (-36)\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*c + 2*x - 3, 0 = -2*x. Suppose 2*n + 1 = z + 2, 2*z - n = c. Solve 0 = -3*l + z - 7 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -0.5, -0.13, -3 in decreasing order.\nAnswer: -0.13, -1\/5, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b**2. Let d(w) be the third derivative of w**5\/120 - w**4\/6 + 7*w**3\/6 + 26*w**2. Let p(u) be the first derivative of d(u). Give p(k(f)).\nAnswer: -3*f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 64729437 to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 take away 80.79365?\nAnswer: -80.71365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26742869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -4704?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 549*z - 1797 - 631 = 317. Let u be (1 - -12) + (0 - 1). Solve w - u = -5*j + 5*w, 0 = j - z*w + 6 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 713735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -72364444.\nAnswer: 21709333.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*l + l + 5*l + l to the form i + g*l and give g.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 10 = -0. Suppose 0 = 5*i + 4*f - 2 - 2, -1 = 3*i - f. Let u(l) = -4*l**2 + i - 5*l - l**3 + 2 + 10*l. Determine u(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5192 + 5232. Solve -8*v = -s - 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/15 - 62*d**2\/15.\nAnswer: -2*d**2*(d + 31)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (1 + 8 - 1) + -10\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -10*u**3 - 150*u**2 - u - 32. Let h be g(-15). Let w(j) = j**3 + 18*j**2 + 20*j + 36. Give w(h).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-1))\/((-1)\/3). Suppose 160 = n*m + m. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 + -24. Suppose -3*v - k + 34 = 4*k, 2*v = -2*k + p. Suppose -2*y = 4*d + 10, d = v*d + 4. Let w(j) = -j**2 + j + 1. Give w(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3115 times -4\nAnswer: 12460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/16*(-108)\/9)\/(6\/6)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o - 3 + 3 + 5*o - 5*o + o + (3*o + o - 3*o)*(6 - 3 - 1) + 3*o - o - 3*o + (4 - 3 + 0)*(-3*o + 3 - 3).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70777876?\nAnswer: 2, 13, 104701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (10 - 7) + -7 + 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*m - 8, -370 = 5*l + 5*m. Let z be l\/(-5) - 4\/(-10). Solve a - z = -3*a, -12 = -4*j - 2*a for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50238 and 1746.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**2 - 34*i**3 - 1 + 6*i + 18*i**5 - 20*i**5 + 34*i**3 wrt i.\nAnswer: -40*i**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -159ebb8 + -29?\nAnswer: -159ebe2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 6*b**2 - 2*b - 8. Let y(q) = q**3 + 10*q**2 - 11*q - 6. Let m be y(-11). Calculate s(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*d + 12. Solve -2 = -d*a + 10 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lztltmlllllzmzlzt. What is prob of picking 2 m and 1 l?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2491243103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -153190 divided by -2\nAnswer: 76595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g**2 + 48*g - 46. Let i be c(1). Let x = 85 + -48. What is the second smallest value in -4, x, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -4*j**2 + 22*j + 11. Let s(g) = -g**3 - 13*g**2 - 114*g - 1786. Let x be s(-14). Determine b(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/6 + 5 - (3 + 1). Solve -14 = -i - 2*r - 6, -c*i + 23 = 5*r for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 7*f - 1. Let l(u) = -6*u + 1. Let t(k) = 6*l(k) + 5*p(k). Let j(w) = -3*w + 6. What is j(o) - 4*t(o)?\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 221 - 116. List the prime factors of r.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 - (-22 - (-37 - -3) - 8).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 22 = 5*u, -31*g = 5*u - 8*g - 18*g - 50 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -3, 408 in descending order.\nAnswer: 408, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c94174 (base 13) to base 2.\nAnswer: -110110110101100101000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -273, -159, 31, 297, 639, 1057, 1551?\nAnswer: 2121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -741 - -743. Solve -7 + 15 = -n*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*o**2 - 3*o + 3*o - 262*o**2 - 9*o**2 + 134*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 5427526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -514*n + 505*n = -1566. Calculate the remainder when n is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 16798\/18 + -7 + (-690)\/(-54) + -6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.92 - -6.0297. Sort y, 0.5, -1\/6.\nAnswer: -1\/6, y, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*i*s**2 - 3*i*s*t - 2092*i*s + 2*i + 2230700*s**2*t - 2*s**2 + 4*s - 3 with respect to t.\nAnswer: -3*i*s + 2230700*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - k + 6*k = 0, f - 4*k + 21 = 4*f - 4*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)*1 - sqrt(70))*6 + sqrt(70))\/(5*sqrt(160)).\nAnswer: sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c. Determine p(-11).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1105 - 4?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17700076 and -0.3.\nAnswer: -5310022.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 974\/296075?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -148*3.\nAnswer: -444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 6)*(5*p - 12*p + 17*p).\nAnswer: 40*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2\/5 - 476352*i - 70909758720.\nAnswer: -4*(i + 297720)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12878 is divided by 758.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/5 + -1 + (-327)\/15. Suppose 0*k - 5*k = -130. Is 2 + k\/(-4)*r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/(-56))\/((-36)\/(-14)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -5*a**3\/6 + 2*a + 25. Let r(z) = -z. Calculate r(k(p)).\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 147 = -o, -5*h + 5*o + 520 = 160. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of 1\/6*m**4 + 22*m**2 + 0 + 0*m + 5\/6*m**3. Let c(d) = -4*d - 4. Determine -4*c(u) - 3*k(u).\nAnswer: 4*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 1\/2*s**2 - 182*s - 229 + 1\/3*s**3. Find the first derivative of h(j) wrt j.\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4374 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56806372*g = 56806417*g + 4365 for g.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 0*i + 2*i)*(i + 3*i - 3*i) - 15*i**2 - 38 + 38.\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 516311140 a multiple of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -96. What are the prime factors of h?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69 + -77. Calculate the remainder when (38\/(-4))\/(4\/u) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 209*((-24)\/12 - (-1 - 0)). Let v = -85 - x. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -95*((-56)\/(-80))\/(-7)*-2\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f = 3*f + 480. Suppose -5*m + 0*m + 85 = 0. Find the common denominator of m and 176\/f - (-5)\/(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 295137, 1180447, 2655963, 4721685?\nAnswer: 7377613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g + g + 3*g + 0 + 0 - g + (-2 + 3*g + 2)*(-3 + 1 + 1))*(0*g + 2*g + 0*g + 0*g - g - g + (2 - 2 + 1)*(-2*g - 3*g + 3*g) - 3*g + g + 0*g).\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 - 16\/(-12)*3. Suppose 4*m - 2 - 38 = p. Is 904\/m - 3*(-4)\/20 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -5.43795 (b) 2\/3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by -1 - 70\/(49\/(-7)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of v - 112*v**2 - 3*v + 55*v**2 - 144*v**2 + 112 - 3*v**2 wrt v.\nAnswer: -408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 8*r**2 + 6*r + 5. Let w be u(-5). Let z = w + -99. Does 38 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -2\/3 (b) -3.8 (c) 1\/6 (d) 18 (e) -3\/2 (f) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-2))\/(276*(-180)\/(-563040)).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -222.3 - -239. Let w = 15.83 - n. What is w rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n. Let u(l) = -7*l - 1. Determine 3*s(g) - u(g).\nAnswer: 13*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3598436*a**3*h - 386901507*a**3 + 16*a*h**2 wrt h?\nAnswer: -3598436*a**3 + 32*a*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v - 8*t + 77, -42 = -356*v + 358*v + 4*t for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b**2 + 0 + 0)*(-1 + 3 - 1) + 2*b**2 + 71 + 0*b**2 - 68 + (2*b - 4*b - 2*b)*(-15*b + 16*b - 9*b) in the form o*b**2 + i + p*b and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c09 (base 14) to base 16.\nAnswer: -1ea9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 0.0731, 1\/5, -4, 1\/2?\nAnswer: 0.0731","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50910 and 285?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z - 2. Let s be k(7). Let n = s + 32. Is n a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10152*f - 3716*f - 7700*f)*(0*f + 0*f + 2*f**3) to the form u*f + z*f**2 + i*f**3 + d*f**4 + m and give d.\nAnswer: -43136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 10:38 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 820 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 19*u - 8. What is the units digit of n(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*l + 4*l - 5*l)*(-1 + 0 + 2903*l - 2909*l) as v*l + s*l**2 + o and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/468*9\/(-2).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 + 9036 = 18*c. What are the prime factors of c?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2277572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 10:23 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -10. Suppose f = -2*u + 4*d + 48, -3*u + 2*d + 63 = -d. Let c = 10 + -6. What is the lowest common multiple of c and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*r - 9 - 22 - 21. Let d be 9\/(-6) - (-46)\/4. Solve -r*v - d = -12*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -11. Suppose 0 = -3*r - 9, 4*j + 1 = -5*r - 6. Solve 0 = 2*i - v - j*v - 17, 2*v = u*i - 26 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - y = 24 + 36, 2*y + 43 = 3*i. Calculate the remainder when i is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/19)\/(k*k*k**(14\/9)\/k))**(1\/2) assuming k is positive.\nAnswer: k**(-223\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 6 = -5*j, -160*j - 4*r + 3*r = -166*j - 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 140 (base 5) to base 3\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16677587.7 and 0.2.\nAnswer: 3335517.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-207)\/(-414))\/((1\/(-1))\/(-1))*8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 18*q**2 + 15*q + 29. What is k(17)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 454901154?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 7\/82?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-195)\/(-4))\/3*(-23 - (-54 - -27)). Solve -7*b - z = 6*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -140*-5.\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 2*x**2 + 711 + 748 + 68*x - 1490. Let v be z(9). Solve -4*i - v = 2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1734 - -1945. What is the remainder when a is divided by 70?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97623?\nAnswer: 3, 10847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q - 2*n + 1, -5*q + 0*q - 3*n = -3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2071*l - 78701. Calculate m(38).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/20 - 783\/(-2610). Let h**2 - 3\/5*h**3 + 1\/5*h**5 + 0 - y*h - 1\/5*h**4 = 0. Calculate h.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 162304971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -a4106 (base 12) to base 2\nAnswer: -110100010110010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -9*r**2 + 11*r. Let k(z) = -1 + 5 + 3*z**2 - 4*z - 4. Determine 6*d(y) + 17*k(y).\nAnswer: -3*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + -3 + -57 + 213. Suppose k - 226 = -q, 0 = -4*q - 3*k - t + 1061. Calculate the remainder when q is divided by 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -11b2bb61?\nAnswer: 11b2bb61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7859297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1564*t**2*z**3 + 9*t**2*z**2 + 79248*t + 524*z**3 - 2*z**2 wrt z?\nAnswer: -9384*t**2 + 3144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7451.922 decades in millennia?\nAnswer: 74.51922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - -0.181?\nAnswer: 0.381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 5) to base 16\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 c when four letters picked without replacement from {c: 3, x: 5}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -166 (base 10) in base 6?\nAnswer: -434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*g**4 - 247*g?\nAnswer: 204*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = 11*m - 3*q + 24, 0 = 3*m + 3*q. Put -3\/16, m, -3 in ascending order.\nAnswer: m, -3, -3\/16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f - 4, 0 = -2*j - 60283*f + 60284*f - 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-5) + 4\/10 - -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2065*v - 2686*v = 6210 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -12. Let n = 6783 - 6799. Is 11 a factor of -2 + (n\/24 - 1042\/h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7339 is divided by 460?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -20\/99, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**2*g**5 - 4*f**2 - 12398*f*g**6 - 6*f*g**2 wrt g?\nAnswer: 120*f**2*g**2 - 1487760*f*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8759562?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*g - 20, -t = -2*g + 796 - 800 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-6) - 4*1190\/(-60). What is the highest common factor of q and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1231591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (36\/(-21))\/(-2)*-7. Let d(g) = 2 - 2 - 9 - 8*g - g**2. What is the units digit of d(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*p + 1572 = 0, -4*p + 4861 - 954 = 5*l. Determine w so that -45*w + 7*w**4 - 86*w + 131*w**3 + 38 - l*w**2 + 738*w**2 = 0.\nAnswer: -19, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*9\/6)\/((-390)\/1430).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 8*y - 17 - 2*y + 31.\nAnswer: 6*y + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) -2\/3 (c) 89 (d) 15 (e) 4 (f) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4222 and 14943769.\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g + 7. Let l be y(-3). Suppose -i = 4*d + i - 12, 4*d - 2*i - l = 0. Suppose -d*n = -6*n + 16. Solve -n*r + 2*j = -j - 4, 3*j - 12 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-39)\/(-63) - (-1)\/(-3). Let m = -0.33 - 0.07. What is the nearest to -2\/7 in 1\/4, l, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 544651?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 564675*h**2 + 8805*h**3 - 564675*h**2 + (-2 + 2 - 3)*(2*h**2 + 0*h**2 - h**2)*(h - 2*h + 2*h).\nAnswer: 8802*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9976.\nAnswer: 2, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x. Let w(o) = -101*o**2 - 5*o + 1. Give -4*u(j) - w(j).\nAnswer: 101*j**2 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -1, 131 in increasing order.\nAnswer: -3, -2, -1, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -3 - (2 - 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 138 - -7?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*h**5 + 24*h - 2*h - 3*h**5 wrt h?\nAnswer: -120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192635*v**2 + 81258*v**2 - 118862*v**2.\nAnswer: -230239*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -p**3\/3 + p - 8893. Let n(y) = 2*y**2 - 7*y. Give 2*j(b) - n(b).\nAnswer: -4*b**2 + 7*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22*(-17)\/(-748)*-8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29875061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 - 18*q + 13*q + 15*q**2 + 40.\nAnswer: 15*q**2 - 5*q + 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/70*224\/10*6015\/(-14436)?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.998 - -0.098. Let g = i + 4. Sort 4, 1, g.\nAnswer: g, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w - 27. Let g be y(10). Solve g*o + v = -2*v - 9, -2*v = -o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -k - 2*v, 2*k + 1 = -5*v + 8. Is 19 a factor of k - -2 - 4 - -147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/6 or 1464?\nAnswer: 1464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 133895197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 26456327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -7*y - 118, 6*n = -32*y - 62 - 399 - 69 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 142, 208, 270, 328, 382, 432?\nAnswer: 478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1333 + 739 = -66*m for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -8*c**2 - 1. Let i be h(-4). Let l be i\/(-78) + 8\/(-52). Sort -5\/6, l, 2\/5 in increasing order.\nAnswer: -5\/6, 2\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 14, 15, 32, 77, 162, 299, 500?\n\"Answer: 2*f**3 - 4*f**2 - f + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/31, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of u**4\/6 - u**3\/6 + 2*u**2. Let h be 3\/(-18) - 2\/(-12). Let x be h + (2 - 0)\/2. What is i(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(539) + (-3*sqrt(539)*-3)**2.\nAnswer: 7*sqrt(11) + 43659","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/21*21\/((-10)\/((-80)\/12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - 38\/(-6))*12\/10. Let l(v) = f*v - 7*v**2 - 14*v**2 + 5 + 0 + 25*v**2. Let i(a) = a**2 + a + 1. Calculate 3*i(p) - l(p).\nAnswer: -p**2 - p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 98*z + 1366484. Give r(-1121).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 3*x - 6, 0 = v - 0*x - 2*x - 8. Suppose h - 4 = -m, 0 = -v*m - 0*h - 5*h + 18. Are m and 4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35887*n**6 - 82*n**3*x**3 + 12787*n**2*x**3 - 2*n*x**3 - 165*n*x wrt n.\nAnswer: 4306440*n**3 - 492*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.081 from -1841361.\nAnswer: -1841361.081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1396956 to the nearest ten thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 24*n - 104. What is the least common multiple of 12 and z(7)?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 33, 0.01, -1 in decreasing order.\nAnswer: 33, 0.01, -1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -1 - -1) + (1 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > -13\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/594 and 2\/1068903.\nAnswer: 2137806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3\/4, -1899, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2980576 is divided by 2099?\nAnswer: 2095","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvv when four letters picked without replacement from vvvvvvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -u**4\/12 - 2*u**3\/3 + 2*u**2 - 8*u. Let f(v) = -3*v**2 - 9*v + 9. Give 4*f(z) - 9*y(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2796 - -2796.3. What is the fifth biggest value in -1\/73, o, 5, -1\/4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 74 = 4*p - d, -16025*d + 16036*d = -4*p + 159 for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -65*p**4\/12 + 175*p**3\/3 - 300*p**2 + 2*p - 15. Let t(l) = -5*l**2 + 27*l - 46. Let n(s) = 3*j(s) - 40*t(s). Factor n(d).\nAnswer: 5*(d - 4)*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 3. Which is the nearest to h? (a) -4 (b) 2 (c) -0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0449006s in nanoseconds?\nAnswer: 44900600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.9 (b) -3\/2 (c) -195 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1576, 3191, 4806?\n\"Answer: 1615*t - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -249.95215 to the nearest 10.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -39*z + 18. Determine j(-1).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21398454?\nAnswer: 2, 3, 7, 11, 15439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 230, 382, 470, 500, 478, 410, 302?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 9*o + 127. Determine f(0).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 114983385 by -2585.\nAnswer: -44481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**6\/15 + 13*d**5\/10 - 13*d**4\/6 - 157*d**3\/3 + 156*d**2 + 8*d - 125. Suppose z(r) = 0. Calculate r.\nAnswer: -13, -4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 339 + -324. Calculate the smallest common multiple of z and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b4 + 9?\nAnswer: 1c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3\/7, 1, -5, 8, 3\/8773, -1\/6?\nAnswer: 3\/8773","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1962 by -1.\nAnswer: 1962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {v: 5, f: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -122 (base 4) to base 13\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**2 - 13*c + 34. Let p be x(10). Let k = -59 + p. Factor 5*d**3 + 3*d - k*d**2 + 20 - 23*d + 40*d**2.\nAnswer: 5*(d - 2)*(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(896) - (sqrt(896) + sqrt(896) + -1*2*sqrt(896))) + sqrt(896) + (sqrt(896) - (sqrt(896) - 2*sqrt(896) - sqrt(896))*-6))\/(sqrt(2178)*2*-1).\nAnswer: 12*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 382\/161 - 16\/7. What is the fourth smallest value in 2, -5, t, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61 + -41. Let g(y) = y**3 + 6*y**2 + 3. Let z be g(-6). Suppose 7*v - t = z*v. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9 - 8)*4\/2. Let p = 2.1 - 2. Which is the third biggest value? (a) p (b) f (c) -3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6636 divided by -6\nAnswer: 1106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 r when two letters picked without replacement from erae.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2427 + 2426.980072. What is r rounded to four decimal places?\nAnswer: -0.0199","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/12 + (-99)\/27 + 2\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 - 25 - 2 + 435*a**2 - 43 - 433*a**2 + a as y*a + w + i*a**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and 4103960.\nAnswer: 4103960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 75*t**2\/2 - 73*t + 33. Does 15 divide v(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -174803 - -174803. Find v such that p - 1\/10*v**5 - 8\/5*v**2 + 2\/5*v**4 + 6\/5*v + 1\/10*v**3 = 0.\nAnswer: -2, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q + 2*q**2 - 19*q**4 + 12*q - 1 - 31*q - q**3 + 20*q - 11*q**4 in the form r*q**3 + k*q**2 + w*q**4 + z + g*q and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12730)\/(-5159) - (-70)\/(-385). Determine k so that m + 2\/7*k**2 - 12\/7*k = 0.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 6*a**2 - 5. Let g be j(-5). Let u(y) = y**3 + 20. Let p be u(0). Calculate the greatest common factor of g and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -218*x - 199?\nAnswer: -218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3278831 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of 0*k**5 + k**2 + 0 + 0*k**4 - 1\/6*k**3 + 1\/40*k**6 + 0*k. Differentiate a(d) wrt d.\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-85*v**2 + 20*v**2 - 26*v**2)*(5 + 18 - 4 - 2 - 1 + 2 + (-2 + 0 + 3)*(3 - 4 - 6)).\nAnswer: -1001*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*i - 97*i - 121*i + 178*i.\nAnswer: -88*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 + 240*t - 267*t + 17 - 1512*t in the form u + v*t and give v.\nAnswer: -1539","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432)*1 + sqrt(432))\/((sqrt(30)\/sqrt(5) + sqrt(6))*3))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 105 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -29*r + 46*r - 45*r. Does 5 divide j(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-15))\/((-43)\/215)*(-1659)\/(-158) - -5.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*c**2\/15 - 38*c\/3 - 352\/5 = 0. What is c?\nAnswer: -48\/13, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -3567\/6035?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 6 = 2. Suppose -f*p - 3*p + 457 = 2*y, -4*p + 366 = 2*y. Does 23 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ioot when four letters picked without replacement from mmmiitoiwwigmotmm.\nAnswer: 1\/3570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 31*k - 9. Is 7 a factor of r(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 6*i**2 + 7*i - 2. Let u(p) = p**3 + 5*p**2 - 6*p + 2. Let s(z) = -5*c(z) - 6*u(z). Let t be 2*-1 + -1 + 1. Give s(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1908971 or -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 98287 to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 9 - 139*v + 18.\nAnswer: -139*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -22*p**3 + 3*p**2 - 6*p - 11. Let h(x) = -23*x**3 + 2*x**2 - 5*x - 9. Give 6*h(j) - 5*t(j).\nAnswer: -28*j**3 - 3*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 13*u**2 - 436*u - 23375. Determine p(-29).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/(30107\/34)*56\/16.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65427 and 339?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -69 - -144. Let z(n) = -n**3 + 13*n**2 - 11*n - 10. Let d be z(12). Suppose -j = -s - d*u, 14 + 33 = s - 5*u. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 50*s - 52*s + 3)*(5 - 3 + 0).\nAnswer: -4*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1728, -3105, -4482, -5859, -7236, -8613?\nAnswer: -9990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 149, 124, 99, 74, 49, 24?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/8 of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 104847671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1313007, -0.03, -0.62 in decreasing order.\nAnswer: -0.03, -0.62, -1313007","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**2 - 2 + 2 + (0*u + u + 0*u)*(-u + 2*u + 0*u) + (5*u + u - 2*u)*(0*u + u - 6*u) to x*u**2 + m*u + c and give x.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*a = -a - 11, 3*d + 4*a = 0. Suppose -5*s + 0*w = d*w - 358, 0 = -3*s + 3*w + 204. What is the remainder when s is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y**3 + 1095*y**2 - 1039*y + 21584. Calculate o(-366).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 647076 and 2911842?\nAnswer: 5823684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1857244 - 47*r + 1857244 + 12*r**2 + 0*r + 0*r - r**2 + (-r - 4*r + 4*r)*(4*r - r - 5*r) + 2*r**2 + 3 - 3 - 2*r**2 + 0*r**2 + 4*r**2.\nAnswer: 17*r**2 - 47*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 264 and -42 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 8*g**2 + 1 + 7 - 35*g**3 + 11171*g - 11179*g. Let h(q) = -12*q**3 + 3*q**2 - 3*q + 3. Suppose -13*y + 15 = -8*y. What is y*m(u) - 8*h(u)?\nAnswer: -9*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1497182 rounded to the nearest one thousand?\nAnswer: -1497000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2095843\/70 + -29939. What is the common denominator of -127\/140 and j?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 35*k**2 + 6*k + 9. Let u be 5 + 105\/(-10) + (-15)\/(-10). What is the units digit of l(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 37*c - 505. Let b be l(25). What is the highest common divisor of 105 and b?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-1) - 3\/5. Suppose 5*d = -5*f + 15, -3*f + 0 + 7 = 5*d. Which is bigger: z or d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9\/4 (b) -5 (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*l + 193410 = -11*l - 24*l. List the prime factors of l.\nAnswer: 3, 7, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mwmjwjmwjmmjmjmjwj. Give prob of picking 2 w and 1 j.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -428545, -857100, -1285655?\n\"Answer: -428555*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 344346 to the power of 1\/2, to the nearest integer?\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzooypoiyyoyozz. Give prob of picking 2 o, 1 z, and 1 y.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of 1057*p**5\/20 + 104*p**3 + p**2 + 349*p. What is the first derivative of q(z) wrt z?\nAnswer: 6342*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(66) - ((2*sqrt(66) + sqrt(66))*-1 + sqrt(66)))*-1*2)\/(1*-1*sqrt(600)*2).\nAnswer: 3*sqrt(11)\/10 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 225 and 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 - 106?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -30)*1 + 3. Let j = 43 - l. Let r be (3004\/j - -1) + (-36)\/90. Round r to the nearest 10.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2 + 352*c + 2112. What is the lowest common multiple of f(-6) and 236?\nAnswer: 4248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 60\/15 + (2 - 1). Suppose -v*z + 32 = 2*c - 3*c, 12 = z - 3*c. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 3 = -2*m - 5*s, -3*s + 3 = -3*m. Suppose m*i + 35 = i. What is the remainder when i is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/sqrt(9)*5 + sqrt(1573)*3 - (5 + 2 + (2 + sqrt(637) - sqrt(637)))**2.\nAnswer: -81 + 38*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/1440 and 52\/45.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6728212 is divided by 107?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 2*v**2 - v + 5. Let z = -76 + 72. Give l(z).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(1\/7)*m)\/m)**(-4\/5))**(2\/31)*(((m*m\/m**3)\/m)**21)**(-28) assuming m is positive.\nAnswer: m**(1275952\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268*m = 145*m - 413 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1526212 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 7*l**2 + l - 4. Let g(b) = -b**3 - 6*b**2 + b - 4. Let o(q) = -6*g(q) + 5*j(q). Let f be o(0). Solve i - 2 = -f for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 338*l**3 + 2*l - 1. Let j be g(1). Let t = 5087\/15 - j. What is the second biggest value in t, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19.993 + 0.007. Let j = x - 18. Which is greater: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -3*y - 4*w, 5*y + 15 = 5*w - 0*w. Let i = y + 26. Is i a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 0, 3, 2796, 1, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 3:14 AM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k - 24. Let o(j) = -3. Suppose m - 3*n - 30 = 0, 3*m - 78 = 6*n - 3*n. Give m*o(g) - 3*c(g).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -a**6\/30 - 7*a**4\/12 - 83*a**3\/6 - 99*a. What is the second derivative of r(o) wrt o?\nAnswer: -12*o**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 4*j**2 + 20*j + 171. What is h(-6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -3*i**5 + 656*i**4 + 882*i**3 - 436*i**2 - 879*i - 220 = 0.\nAnswer: -1, -1\/3, 1, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 166*a**2 - 2256*a + 1205. What is p(-151)?\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z + 30. Let i be k(9). Suppose s + 0*s = -2*x + i, -5*s - 7 = -x. Factor 4*d**x - 148*d**3 + 142*d**3 + d**5 + 7*d**5 - 8*d**4 + 0*d + 2*d.\nAnswer: 2*d*(d - 1)**2*(2*d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 4*w + w - w - 3*w + 3. Let g(q) = -2*q - 8. Let r(j) = 3*g(j) + 8*v(j). Let c(u) = 3 - 3 - 3*u. Determine c(r(b)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -23 and -5602179880.\nAnswer: -5602179903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 27635 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a + 1. Let y(n) = -2*n + 3. Let m = -129 + 135. Suppose m = -11*h - 49. Determine h*r(f) + y(f).\nAnswer: 3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 30689.67s?\nAnswer: 30689670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or -1296?\nAnswer: -1296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -1125919?\nAnswer: 5\/1125919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96505 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 + 3 = -4*b. Suppose b = 2*s - 57. Suppose -s*n = -36*n - 15. What is the least common multiple of 3 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from rrrorroroo?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**(-1))**(6\/7)*s*s*s**(-2\/5)*s*s\/s**(-6) assuming s is positive.\nAnswer: s**(426\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 42377, 84924, 127471?\n\"Answer: 42547*z - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h*x**4 + 16127*h*x**2 + 1935*x**4 wrt x.\nAnswer: -48*h*x + 46440*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 41*b - 42*b = 0, 5*b = -10. Put -872, 2, d in descending order.\nAnswer: 2, d, -872","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 18 = 11*u. Let j(c) = -c**3 - 8*c**2 - 14*c - 19. Let k be j(u). Calculate the least common multiple of (-1353)\/(-77) - 3\/k and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -17*b**2 + 14*b**2 - 5*b + 7*b. Let a = 4 - 2. Calculate t(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -398 + 7092. What are the prime factors of v?\nAnswer: 2, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of v**5\/60 - 35*v**4\/24 - 71*v**3\/6 - 165*v**2. Is d(42) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13599, -27188, -40775, -54360, -67943?\nAnswer: -81524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3.276795 milliseconds?\nAnswer: 0.003276795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h + 2 - 2 + (5*h + 0*h - 2*h)*(-18 - 24 + 34))*(3 - 3 + 5).\nAnswer: -100*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201 (base 8) to base 6.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 2*v - 14, 2*v + k = 5*k - 22 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4*c - 2 = -0, 4*j - 3*c = 48. Let s = 57 + -33. Calculate the remainder when s is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 20 = -5*r + 40, 8 = r - 5*w for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - 0.1. Let r = 2787 + -2786.9. Which is the closest to 2\/11? (a) r (b) u (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3906 = -12*y + 3*y. Let w = -5636\/13 + y. Do -1\/4 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2278\/(-5695))\/(((-1)\/310)\/(1\/(-4)))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.12 in 5, -7, 1\/5, -2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a7 - 5?\nAnswer: -1ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 7*l**2. Let d(z) = -z**3 + 5*z**2 - z + 4. Let i be d(5). Does 7 divide v(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -211128*w**2 + 2*w + 3*w + 819 + 211126*w**2 - 5*w to the form z + d*w**2 + r*w and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17798*h**3 - 24986 wrt h.\nAnswer: 53394*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 210833380213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -31, -35?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*x**2 - 867*x**2 + 790*x**2.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is a588 (base 16) in base 15?\nAnswer: c851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*n + 74 = 0, 9*s + 3*n - 146 = 4*s. Let a = s + -1. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 217 + 934*y**3 - 217.\nAnswer: 934*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -48954.098 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + i = 75, 150 = -4*j - j - 5*i. Let g be (-4)\/10 - 784\/j. Are 22 and g equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -105.38 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*q**4 + q**4 - 7*q**3 + 7*q**3 + 3*q**2 wrt q.\nAnswer: 216*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28937.00014915 + 28937. Round s to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*k - 12*k - 120. Solve 2*y + 8 = 3*n, 8*n = k*n + 2*y + 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = t + 3*t. Let x = t + 10. Suppose -3 = x*f - 5*q + 10, 8 = -4*f + 2*q. Which is smaller: -1\/15 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.3 (b) -1\/17 (c) 2\/11 (d) 20\/19 (e) -2\/31 (f) -21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 358 - 354. Solve -4 - 4 = m*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2000 - -2302. What is the remainder when g is divided by 30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63201600 and 79200.\nAnswer: 63201600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 2 (c) -4 (d) 999473\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -35*t**2 - 1. Let z(d) = -4*d**2 - 50*d + 38. What is z(c(x))?\nAnswer: -4900*x**4 + 1470*x**2 + 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -1398*t + 573*t + 149*t in the form p*t + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i + 3*a - 8*a - 130, -1062*a = -i - 1065*a - 66 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wsswksw. What is prob of sequence sww?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/323453310 and -101\/9026604.\nAnswer: 1940719860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, i: 1, q: 1, c: 5, w: 3}. Give prob of picking 3 w.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 3*h + 2. Let t be i(2). Let a(p) = t*p - 2*p - p + 4*p. Let u be a(2). Solve -4*o = -2*g - u, 5*o = -2*g - 2*g - 30 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/170976 and -47\/256464.\nAnswer: 512928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by 117393\nAnswer: -6\/39131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 9*t**2 - 4*t - 94. Let a be w(-8). Let x(s) be the first derivative of 9*s + 35\/2*s**a + 2. What is the first derivative of x(k) wrt k?\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + f + 4. Let g be v(4). Let c be g\/3*3\/(-2). Suppose -2*x - 3 = u, -2*u + 3*x = -23 + 1. Solve u*a = c*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -27 - -4 - 12) + -45.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/718 and -44\/2513.\nAnswer: 5026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 3\/((-4)\/(-4)). Suppose 2*j - 15 + h = -3*l, -j + 3 = 0. Suppose -3*d = 15, 2*d - 1059990 = -l*c - 0*d. Round c to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -0.2 (c) 20 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/284 in 430, 4\/11, 0.5?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1379, 1375, 1371, 1367, 1363, 1359?\n\"Answer: -4*x + 1383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a + a + 4*a.\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/15*z - 8\/15*z**2 + 0 = 0. Calculate z.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2. Let p(o) be the first derivative of 2*o**3\/3 + 30*o + 115. Determine p(j(y)).\nAnswer: 2*y**4 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (17\/2)\/(101\/(-1818) - 8\/18)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 52766855*j**3*s - 11401*j**3 - 383*j with respect to s.\nAnswer: 52766855*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 204 and 462.\nAnswer: 15708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 + -10111220?\nAnswer: -10111120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -7334*b - 11871. Is r(-164) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374761 is divided by 159.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2486976 and 1024.\nAnswer: 39791616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -144, 2, -27, 1.12, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-54)*6 - (-225518)\/18. Let t = m + 2491. Suppose -5996 = 2*h - s, 2*s + 3*s + t = -5*h. What is h rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1103, -4621, -10485, -18695, -29251, -42153, -57401?\nAnswer: -74995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, 0.3, -0.3, 4\/147, -1\/6?\nAnswer: 4\/147","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 45231528, 45231531, 45231534, 45231537, 45231540?\n\"Answer: 3*p + 45231525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**5 - 4*b**5 - 2*b**5 - 4*b**5 + (-3*b**2 + 2*b**2 - b**2)*(-1 - 4*b**3 + 1).\nAnswer: -5*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - x**2 - 6 - 9*x**2 + 2*x**2 + x. Let l be (11\/(-4))\/(-11) - (-93)\/12. Calculate n(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**4 + 0*s**4 + 0*s**4)*(-1151 + 1151 + 40*s).\nAnswer: 80*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 216909316624.4 and -4.\nAnswer: 216909316620.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 385, 521, 745, 1057, 1457?\nAnswer: 1945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/111 - -217\/555. Suppose m + 3 = 4*l, 17 = 4*m - 3. Suppose l*i = i. Which is greater: f or i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 875, 1713, 2489, 3167, 3711, 4085, 4253?\n\"Answer: -6*y**3 + 5*y**2 + 865*y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*h**3\/3 + 47*h**2\/3 + 40*h\/3.\nAnswer: h*(h + 1)*(7*h + 40)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 2 + 6. Suppose -y + k = y. Suppose -y*r - r = 6. Let b(o) = -o**2 + 2*o. Give b(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 7*a**2 - 3*a. What is the tens digit of g(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 6:38 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 37*k + 20. Let w(o) = 7*o + 4. Let a(i) = 2*c(i) - 11*w(i). Suppose 2*h - 5*u = -21, -h + 2*h = u - 6. Calculate a(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3142*a**2. Let c(x) be the third derivative of x**5\/60 - 336*x**2 + 5. What is n(c(k))?\nAnswer: -3142*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37016, 148163, 333408, 592751?\nAnswer: 926192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 8*p**2 - p - 18. Suppose -841*c = -819*c - 176. Determine o(c).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 5*z. Let s be x(-4). Let c = -362 - -359. Put 5, s, c, 0.04 in ascending order.\nAnswer: s, c, 0.04, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 429\/2*(24\/9 - 2). Let p = 8 - 9. Let l be 7 + 5 - p*1. Calculate the highest common factor of y and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 1:13 PM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 31*q**2 - 49*q - 134. Calculate c(-29).\nAnswer: -395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 192.2 - 78.760917?\nAnswer: 113.439083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -u + 64. Suppose w = 5*w - u. Calculate the least common multiple of w and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9686270 divided by 110?\nAnswer: 88057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 19*t**2 + 28*t - 48. Let n be (136\/48)\/((-1)\/6). Let l be a(n). Solve 59*d + 10 = l*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1413 - 1291 + p - 4346 - 1360 as m + u*p and give m.\nAnswer: -8410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 7*t + 6. Let i be g(6). Suppose i*j - 348 = 8*j. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/136681001?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 13*w - 49814 = 33306. What are the prime factors of w?\nAnswer: 2, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y - 13. Let b = -1500 - -1495. Let i(u) = u**2 - 7*u + 5. Let l be i(7). Let n(j) = l + 0*j + 2*j - 7 - 7. Determine b*r(g) + 7*n(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**3 + 19*f**2 + 3*f + 21. Let v be m(12). Find the common denominator of -93\/20 and v\/(-120) + 2\/(-5).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of r**4\/10 + 98*r**3\/15 + 524*r**2\/5 + 952*r\/5 + 4413. Factor a(f).\nAnswer: 2*(f + 1)*(f + 14)*(f + 34)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.321 - 942854\nAnswer: -942854.321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112128931 is divided by 28032218.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7530*y**3 - 3644*y**3 + 3784*y**3 - 7070*y**3.\nAnswer: -14460*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4731773?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b + 13 + 78. Find the third derivative of -b*l**3 + 24*l**2 - 35*l**2 - 2*l**3 wrt l.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -3 (b) 0 (c) -1 (d) 4 (e) -439\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*4\/40)\/((-4)\/(360\/2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (11298\/1614)\/(10\/(-2))\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40122 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*y - 2*y**3 + 7*y**3 - 7*y.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.11 + -11.11. Let r = -10.99944 - d. What is r rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11005 - -3081399\/280. Which is smaller: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -80*a - 7932. Determine m(-99).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -876992\/41 + 21390. Sort -149, 0.1, v in decreasing order.\nAnswer: 0.1, v, -149","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (-27 - ((-15 - (-1 - 6)) + 21) - 0)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93665*s - 93912*s + 187574*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*d**2*l**3 + 3*d**2*l**2 + 5*d - 26*l**5 - 3*l**2 - 9 wrt l.\nAnswer: -42*d**2 - 1560*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**3 + 6*t**3 + 5*t + 2*t**4 - 5*t**3 + 2 - 2*t**3 to the form y*t + s + u*t**2 + c*t**4 + d*t**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -62*w**4 - 7180*w**3 + 8770*w**2 + 13080*w - 2808 = 0.\nAnswer: -117, -1, 6\/31, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 11) to base 10\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7752, 15503, 23254?\nAnswer: 31005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1870869071 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 10*t**2 + 4 - t - 2 to r + v*t**2 + w*t and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3*sqrt(187)*-1 - sqrt(187))\/sqrt(11) + -6*(-5*(-1 + sqrt(17)) + sqrt(153)*-1).\nAnswer: -30 + 28*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1012120 (base 3) to base 15\nAnswer: 3d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 12*x**2 - 15*x + 31. Give h(11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -32*f - 371. Let n be k(-11). Are n and -12 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (3 - 1) - 4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.117 - 0.055. Let r = 69.172 + u. Sort -4, r, -5 in ascending order.\nAnswer: -5, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a**2 - 160*a + 128*a + 38*a**2. Let p be v(2). Which is smaller: 71 or p?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5*(1745574\/(-30) - 2)*(-3)\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 6*z**3 + 6*z**2 - 8*z - 6. Let m = -219 - -223. List the prime factors of u(m).\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-180*r**4 + 1420*r**2 - 1420*r**2)*(-11 - 2 + 0)*(0 + 5 - 2).\nAnswer: 7020*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1423766.\nAnswer: 2, 41, 97, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 265 and 23585.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -771 + 5395\/7. What is the nearest to 2 in -9, j, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19109225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -75a50d (base 14) to base 10\nAnswer: -3985281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26.071 - -0.071. Let n = j + 25. Sort n, 13, 0.2 in increasing order.\nAnswer: n, 0.2, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, e: 3, g: 1, j: 4, i: 1, p: 3}. What is prob of picking 1 j and 1 g?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 3 - (1158 - 1151)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 15. Suppose -w*b + 7*l = 3*l - 24, -3*l = -5*b + 28. Factor -22 - 6*r - 2*r + 26 + 4*r - b*r**2.\nAnswer: -4*(r + 1)*(2*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**4 - 2*r**3 + 2*r**3 + (-15*r**2 + 20*r**2 + 38*r**2)*(2*r**2 + r**2 + 3*r**2).\nAnswer: 260*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 11521 = 158. What is the hundreds digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3661.933l to millilitres.\nAnswer: 3661933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -306 - -306.1212. Round h to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/2, -2.673, -621?\nAnswer: -621","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4623 divided by 1541\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 259082 and 11.\nAnswer: 2849902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(5\/2)\/y**(-3)*(y\/y**3)\/y**(-4))**(2\/129))**(2\/3) assuming y is positive.\nAnswer: y**(10\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22085157763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.75241cm to meters.\nAnswer: 0.2575241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/1209 and 149\/1126866.\nAnswer: 34932846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1872) + 0) - -2*(sqrt(1872) + 0) - (3 + 1*(sqrt(1872) - sqrt(1872)*1)))**2.\nAnswer: 216*sqrt(13) + 16857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 h when two letters picked without replacement from hgtitttttxhxgthhih?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -6 - 2, -x + 18 = -4*s. Calculate the least common multiple of ((s - -2)*(-30)\/(-9))\/(-2) and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 9. Let q(n) = -n**3 - n**2 - n + 14. Let t be q(0). Let v be (-66)\/(-14) - (-4)\/t. Solve v*g = -m - 21 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2289936409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 - 2*q**2 + 0*q**2)*(2 + 0 - 7)*(q - q - q).\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 76304 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 903997773 to the power of 1\/3, to the nearest integer?\nAnswer: 967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 32*t + 166 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 224087911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -13107 + 13107 - w**2. Let y(l) = l - 967. Calculate y(z(j)).\nAnswer: -j**2 - 967","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 1:12 AM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 g when four letters picked without replacement from geggpqgpeepggeggeeg?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12, -17, -22, -27, -32, -37?\n\"Answer: -5*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 2*i - 1. Let z be m(-3). Let s = 3 - -1. Let u = s + z. Solve 16 = -4*k - u*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 169\/(-39)*(0 - 6\/2). Suppose o - q = 2*h + 2, -3*o + h = -20. Solve -o*x = -2*x + 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12220112121 (base 3) to base 4.\nAnswer: 130121101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 231178173 to the nearest integer?\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 98 and 483.\nAnswer: 6762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hw when two letters picked without replacement from {w: 5, u: 1, r: 9, b: 2, h: 1}?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of q**4 - 3*q**2*s - 18*q**2 + 9*q*s + 223*s wrt q.\nAnswer: 12*q**2 - 6*s - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1696 divide 9807968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 10) to base 13\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 482 + -487. Let i(c) = 20*c + 12. Let p(u) = 37*u + 23. Let v(h) = x*i(h) + 3*p(h). Let m(k) = 5*k + 4. Determine -5*m(j) + 2*v(j).\nAnswer: -3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express d**2 - 5632*d + 2718*d - 5*d**3 + 2750*d + 2 + 0 as f*d**3 + n*d**2 + t*d + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 25 = -5*n, b - 16 = -4*b + 2*n. Let s(i) = i**3 - 2*i**2 + 2*i - 1. Let k be s(b). Solve -l - 4 = -k*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*i + 2. Suppose 0 = -5*s + 4*d - 49, 2*s + i*s + 3*d = -33. Let y = 10 - s. Solve 0 = 4*l - g - y, -3*l - 5*g + 25 = l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -120, -99, -64, -15?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*(-2 + (18 - 1)). Suppose 4*j - 3*j - r = 0. Let h = 688 + -679. Calculate the highest common divisor of j and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 970*n**3\/3 - 1771*n**2\/2 - 362. What is the second derivative of g(k) wrt k?\nAnswer: 1940","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.07465l in millilitres?\nAnswer: 58074.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 166 - 165.9. Let x(s) = -s**2 + 3*s + 2. Let q be x(3). Let j be (28\/(-63))\/(q\/1). Which is the closest to n? (a) j (b) -0.3 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -263 in -1, 0, -2\/9, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -4*r - 0*q + 15, -2*r + 3*q + 3 = 0. Let i(x) be the second derivative of -x**3\/6 + 6*x**2 + 20*x + 1. What is i(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**2. Suppose -1 = a - 4. Suppose a*y - 4*f = -6, -13 = -2*y - 0*f - 3*f. Let k(r) = y*r**2 + 3*r**2 - 3*r**2. Determine k(c(b)).\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 2*t**5\/55 - 3*t**4\/11 - 32*t**3\/33 - 159. Let d(s) = 0. What is s?\nAnswer: -2, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82677038 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mg when two letters picked without replacement from {g: 2, m: 3, d: 10}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -115441 + 61554?\nAnswer: -23554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {t: 4, n: 2, r: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -5 + -17 + -13 + -7 + 3.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54 - -60.7. Let w = 17 + -24. Let n = w + l. What is the second smallest value in n, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/4)\/((-3)\/12). Calculate the remainder when (2*(-285)\/b - 3) + -1 is divided by 34.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q = b + 7*q - 30, 0 = -5*b - q + 172. Factor -p**3 - 32 + 176*p - 384*p + 143*p - b*p**2.\nAnswer: -(p + 1)**2*(p + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4521.419 millilitres in litres?\nAnswer: 4.521419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/((i\/(i\/(i\/(i\/i**(-2\/49)))))\/i)*i)\/i*i)\/i*(i**(-14)\/i)\/i*i*(i*i**(-4\/3)*i)**(-47) assuming i is positive.\nAnswer: i**(-6364\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 8*w**2 + 8*w - 7. Give r(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 6.599873ug?\nAnswer: 0.000000000006599873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (13 - 7)*(0 - -1). Suppose -x*y + 24 = 2*y. Suppose l - 19 = y*p, 0*l - 2*l = -5*p - 36. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a factor of 1659669?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*r + 4*h - 2, -4*r + 28 = -2*h. Solve -3*p + r = w + w, 2*p = -5*w + 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-1*(sqrt(220) + sqrt(220)*-2 - sqrt(220)) - sqrt(220))\/sqrt(5))**2.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 458080068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*m + a - 4*a, 0 = -2*a - 8. Calculate the remainder when (-3 + (-35)\/(-2))*m is divided by 87\/9 - 1\/(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 4:48 PM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -7\/5225?\nAnswer: -7\/5225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.390994 litres?\nAnswer: 9390.994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g**3 - 5*g**2 - 11*g - 16. Let n be l(-3). Calculate the highest common divisor of n and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 6440 = -3040. Let i be a\/27 + (-2)\/(-9). Let o(y) = -y**3 + 5*y**2 + 2*y - 2. Let x be o(4). What is the greatest common divisor of x and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*d + 13*d = -4*m - 40, 9*m - 4*d + 3 + 67 = 0 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 2*f - 1. Let q(w) be the third derivative of w**5\/60 + w**4\/8 + w**3\/6 + 3*w**2. Calculate -3*q(m) - 4*z(m).\nAnswer: m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 7*g. Let u be (g - -45)\/((-3)\/(-2)). Calculate the greatest common factor of u and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 119574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 81 (b) 44\/13 (c) 93\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 376 times -1964276\nAnswer: -738567776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0*n = 7. Let g(f) = 6*f - n*f - 2*f + 2*f. Let c(z) = 4*z - 1. Suppose 8 = -2*r - x, 7 = r - 3*x - 3. Give r*g(y) - c(y).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-30)\/8*9\/45. What is the third biggest value in 0.01, r, 1\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7382131 is divided by 293.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7961249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n = -6*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 1:20 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*p + 5*v - 6 = 231*p, 0 = 2*p + 15*v - 51 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dpdpnpjjjppsf. Give prob of picking 1 d and 1 n.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-32)*g*g**(-6)*g*g**(23\/4)*g*g*g*g*g\/(g\/(g\/(g**(-2\/45)*g)*g))*g assuming g is positive.\nAnswer: g**(-4357\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 106636*34\nAnswer: 3625624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14078 = -33*w - 779. Is w a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 16*z = 12*z. Solve z = 10*g - 0*g + 40 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -12. Let v(h) be the second derivative of -h**5\/20 + h**4\/2 + 3*h**3\/2 - 2*h. Calculate the remainder when 26 is divided by v(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -406, -807, -1194, -1561, -1902, -2211, -2482?\n\"Answer: z**3 + z**2 - 411*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5026 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(17) + 0 + -2 - sqrt(17)) + -5)*-3.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -413143 (base 5) to base 6\nAnswer: -142420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43.1 + -43. Suppose -4*d = -2*l - 10, l - 7 = -4*d + 18. Let c = -13 - -8. Put l, c, g in decreasing order.\nAnswer: l, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/4*(1 + -3). Suppose y*s = 2*s + 40. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -8*t**2. Let q(f) be the first derivative of 0*f**3 + 4 + 0*f + 6*f**2 + 1\/24*f**4. Let i(b) be the second derivative of q(b). Determine d(i(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*h - 79*h + 3*x - 5911 = 0, 0 = x - 1. Calculate the least common multiple of 4220 and h.\nAnswer: 29540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 225\/7369823 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c = -1 + 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -3)\/((-1)\/(-4)). Suppose -t - 80 = -5*t - 5*l, -o*l - 60 = -3*t. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2643708?\nAnswer: 2, 3, 151, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 329305 - 329302. Find d such that 2\/11*d**4 - 18\/11 + 52\/11*d - 48\/11*d**2 + 12\/11*d**m = 0.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -59, 110, 529, 1222, 2213, 3526, 5185?\n\"Answer: 4*l**3 + 101*l**2 - 162*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -714202350 by -6.\nAnswer: 119033725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(5) - (sqrt(5) - (sqrt(10)*1 - sqrt(10))\/sqrt(2))) + (sqrt(5) - (sqrt(40)*-1)\/sqrt(8))*-2)**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -6, -1, -3, 335 in descending order.\nAnswer: 335, -0.4, -1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/2 + 2244\/8. Suppose -m = -5*a - 0*m + h, -2*m - 163 = -3*a. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.7 and -0.6?\nAnswer: 1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2888 by 722.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 + -9 - (-126 + 78).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((3 + 1*sqrt(300)*2)**2 + (-6*sqrt(24)\/sqrt(4))\/(sqrt(8)*5)).\nAnswer: 3582*sqrt(3)\/5 + 7254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -1\/3*a**4 - 19*a**2 + 1\/20*a**6 + 0 + 2\/15*a**5 + 1\/168*a**8 + 0*a - 4\/105*a**7 + 0*a**3. Suppose t(k) = 0. Calculate k.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 748 a factor of 6165016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3*a + o + 200, 160 = 3*a + 5*o. Calculate the remainder when a is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -24 (b) -5853 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -3 (b) 0.4 (c) -624\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -31 at least as big as -2.59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.4 (b) 9.1 (c) 3\/4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is cdaf - c34?\nAnswer: c17b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*s - 1 - 2*s**2 - 23 + s + 9 to x*s**2 + j*s + b and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, -0.1, -1, 1, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3480 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 442407670*u + 138516864.\nAnswer: 442407670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.224 - -0.076. What is the smallest value in -0.5, -20, m?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 397942201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2.7 times -9\nAnswer: -24.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 18642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7762831 to the power of 1\/4, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51 + 65. Let a = -386 - -703\/2. What is the common denominator of a and 97\/o - 8\/28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3603599561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 6*f + 3. Let k(w) = -2*w**2 - 12*w - 7. Let a(z) = 2*k(z) + 5*u(z). What is a(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 5:16 AM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -273, -129, 15?\n\"Answer: 144*c - 417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-4) - (-189)\/42. Let d(l) = -l - 1. Suppose 3*z - 5 + 2 = 0. Let m(p) = -p + 1. Let s(k) = z*m(k) - 2*d(k). What is s(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*153791.\nAnswer: -1076537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17 or -208.2?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, a: 3, u: 4, p: 3, s: 4}. What is prob of sequence ds?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 22 - 2*f**2 + 22 + 5*f. Let m(w) = -w**2 + 2*w. Calculate 2*i(t) - 5*m(t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3783, 7553, 11321, 15087, 18851, 22613, 26373?\n\"Answer: -m**2 + 3773*m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7478195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l + 3*l + 18. Let t be l\/6 + -2 + -3. Let m = t - -9. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 1 - (-12 + 2985\/165)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 4. Suppose 24 = 3*v + 2*p, 5*v - 45 = -p - 4*p. What is the smallest common multiple of v and (-6 + -1)*(g - 1)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 224390538?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of o**4\/84 + 11*o**3\/14 + 36*o. Factor q(c).\nAnswer: c*(c + 33)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + f + 0*f + (7 - 11 + 14)*(2*f + f - 2*f) + 5*f - 3*f - 4*f)*(-3 - 2 + 6).\nAnswer: 11*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3244178 and 17544.\nAnswer: 1462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eae when three letters picked without replacement from {a: 3, e: 9}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*i + 22*i - 8*i - 2 - 1 - 5*i as u + o*i and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 2*a - 30. Let p = a - 10. Suppose p*z = -v + 3 - 10, -2*v = -2*z - 34. Calculate the highest common factor of v and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/9856 and -67\/308?\nAnswer: 9856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18098052?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -2*j**3\/3 - 46*j**2 + 130*j + 49. Let v be t(-45). Is v less than 219?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) -1 (b) -2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.017739 decades in months?\nAnswer: 242.12868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(200) + 1)*-3)**2.\nAnswer: 300*sqrt(2) + 1825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 37074, -4 in decreasing order.\nAnswer: 37074, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3 - 3 = -3*x, -3*x + 6 = 0. Suppose 6*u - 3*u - 12 = y. Let c(h) = 5*h + 6. Let z be c(u). Solve 0 = 5*a + 4*d - z, -2*d = -2*a + 1 - 5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17980010, -17980008, -17980006, -17980004, -17980002, -17980000?\nAnswer: -17979998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1056\/99)\/16)\/(8\/6*4\/(-384)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 28, -8, -575?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 104 = -4*d, -d + 4*h - 3 = -h. Suppose 0 = 5*t - 920*k + 921*k - 5, t + 2*k = -8. Put -3, t, -2, d in decreasing order.\nAnswer: t, -2, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 8, f: 2}. What is prob of sequence ddff?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18548*c - 9277*c + 5*c**2 - 9271*c - 6*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a factor of 1192375212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 500824419?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**5\/180 + u**4\/36 + u**2. Determine i so that n(i) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 2*o = 3, 0 = -0*f + 4*f - 4*o for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 624 = -6*h. Calculate the greatest common divisor of 26 and h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*o - s, 0 = 13*o - 17*o - 4*s - 16. Suppose -5 + 2 = -a. Solve o = a*i + i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(5 + (-30)\/5). Suppose -m - 3 = -x. Solve -g - 25 = -5*f, 20 = x*f - 3*g + 6*g for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1396582 is divided by 1329?\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 10:57 AM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1227 divided by 13.\nAnswer: -1227\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6*h = -4*w + 1244, 2*w + 5*h = 622. Calculate the remainder when w is divided by 40.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 - 18. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 10) in base 13?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 126\/(-18) - (3 - (8 - 2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59 - 33. Let z = p - 11. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 146 - 127. Let f = 82 - 36. Let d = f - g. Which is the third smallest value? (a) -0.2 (b) -0.4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -121, -4, -1\/7, -239527?\nAnswer: -121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.034526*0.732.\nAnswer: -0.025273032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12 - 0) + 0 + -2. Let f be ((-12)\/(-15))\/(14\/z). Factor -2\/7*d + 0 + f*d**2 - 2\/7*d**3.\nAnswer: -2*d*(d - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + -0.6. Let p = g - -1.1. What is the fourth smallest value in -4\/7, p, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 382*o**5\/5 - 63798*o**4\/5 + 663438*o**3\/5 - 1142626*o**2\/5 + 109644*o - 5616\/5 = 0. Calculate o.\nAnswer: 2\/191, 1, 9, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/155 and 4\/405.\nAnswer: 12555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 780316681 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 10*w**2 + 24*w - 1. What is the smallest common multiple of 12 and x(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-652)\/69438)\/((-2)\/6)\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11750 + 11767. What is the remainder when 3075 is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*j**3 + 120037525*j**2 + 548109173 wrt j?\nAnswer: 6*j**2 + 240075050*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**2*m)\/(m\/(m**32\/m)) assuming m is positive.\nAnswer: m**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.15 + -1.05. Let s = 9.20014 + u. Round s to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2403946*x**4 - 22*x**2 - 145131105*x wrt x?\nAnswer: -28847352*x**2 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of r**7\/1470 + 11*r**6\/168 + 248*r**5\/105 + 736*r**4\/21 - 4*r**2 - 38*r - 2. Determine l, given that p(l) = 0.\nAnswer: -23, -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/20 + (-58)\/(-10). Suppose q - 51 = -o, 0*o + 3*q = -x*o + 263. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 251 = -y, 4*y = -3*n - 343 + 1404. Suppose y*c = 264*c + 15. Let l be 12\/(-20) - c\/25. Solve l = -5*b + 3*t + 14, -3*b - 2*t + 12 = -4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6784 - 6786.9896. Let m = t - 0.0104. What is the closest to m in -0.2, -5, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - -46 - (-812 + 901).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5893, 11787, 17681, 23575?\n\"Answer: 5894*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/6, -73\/3, -3\/5, 3, -1\/3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3778523.\nAnswer: 7, 61, 8849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1131989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 22*b**3 - 2*b**2 + 877*b + 3500. Determine v(-4).\nAnswer: -1448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -362 in -8\/271, 4, 5\/2?\nAnswer: -8\/271","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 21, 4, -81, -270, -599, -1104?\n\"Answer: -6*y**3 + 2*y**2 + 19*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.073 - -0.073. Let a = -279\/910 - -6\/65. Let c = a - 19\/42. What is the nearest to k in -0.02, c, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d - 1. Let f(j) = 3*j - 8. Let m(u) = -f(u) + 5*g(u). Suppose 3*w + 5 = -7. What is m(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3072143*t - 3072143*t + 2*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by (-1)\/((-52)\/(-18) - 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 610 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - 2*p + 13 - 16, -n + 2*p - 3 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 45*i**2 + 98. Let z(q) = -q - 375. Give b(z(y)).\nAnswer: 45*y**2 + 33750*y + 6328223","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2243, 3046, 3849, 4652?\nAnswer: 5455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, f: 7, s: 4, v: 1, d: 2}. What is prob of picking 2 s and 1 f?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 352*n**3*v**2 + 98*n**3 - 3*n**2*v**2 - n*v - 5850*n + 2*v**2 + 1 wrt n?\nAnswer: 2112*n*v**2 + 588*n - 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -401, -816, -1251, -1712, -2205, -2736?\n\"Answer: -j**3 - 4*j**2 - 396*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 - (21\/3 + -3). Suppose -2*w = k*w. Suppose 0*c - c + 1 = w. What is the biggest value in c, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239248367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4982847 and 8589?\nAnswer: 1227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 77769728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -0 - 3. Let f = 1 - -5. Find the third derivative of f*z**3 + 4*z**2 - 6*z**l + 2*z**6 wrt z.\nAnswer: 240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -848*s - 1894. Calculate the remainder when u(-4) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22869 divided by -7623.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of 23\/6*g**4 - 26*g + 1\/2*g**3 + 4 - 12*g**2. What is the second derivative of r(w) wrt w?\nAnswer: 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-6\/5))**(30\/11) assuming f is positive.\nAnswer: f**(-36\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*4*5\/(-280)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -14*a - 6. Let d(t) = 33*t**2 - 1. Determine v(d(r)).\nAnswer: -462*r**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3 - 2*n + 3. Let t(a) = 2*a + 8. Let z be t(-6). Let m(w) = 2*w - 3. Let d(o) = -3*o + 4. Let c(u) = z*m(u) - 3*d(u). What is c(p(k))?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -141.569413 rounded to two dps?\nAnswer: -141.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -556, -571, -612, -691, -820, -1011?\nAnswer: -1276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -178530000 rounded to the nearest 1000000?\nAnswer: -179000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1053) + -1 + sqrt(1053) + -3) - (1*sqrt(1053) + 5 - 2*1*sqrt(1053)))**2*-6 + 3.\nAnswer: -158241 + 3780*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -17*1\/7 + 3. Suppose -4*z = -2*r + 4, 3*r - z = -0*z + 11. Suppose -5*b + 18 = -2*l, -2*l + 0*l - r*b = -18. Are w and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 5*b - 3*b)*(4*b - 3*b + 2*b) - 4*b**2 + 3*b**2 + 2*b**2 + (-3*b - 22*b + 6*b)*(-2 - 2 - 7*b + 5*b).\nAnswer: 48*b**2 + 76*b","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220538519?\nAnswer: 59, 3737941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 11\/13 (b) -4 (c) 27 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6849111 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-27*12\/72)*(31 - 1).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.054 - -0.0507. Round z to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 7 = 4*v. Let m be 8\/(3\/9*3). Suppose v*r - r - m = 0. Solve -u = 3*w + 4, -r*u - 1 - 1 = 5*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 2*b - 81. Let d be m(0). Let g = -81 - d. Suppose 2*s - w = 5, -6*w + 3*w = -4*s + 7. Sort s, -4, g, -3 in decreasing order.\nAnswer: s, g, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -22*j + 5. Let z be a(-4). Suppose -g - 24 - z = -2*d, -d = -g - 58. Does 20 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(84)\/sqrt(108).\nAnswer: -4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/3)\/(y\/(y*(y*y**(-2\/7))\/y*y)))**(8\/15)*((y\/y**(-1\/4)*y)**(23\/4))**(-2) assuming y is positive.\nAnswer: y**(-64693\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 48\/5 of a centimeter?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 152.00077 + -152. What is x rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 a when three letters picked without replacement from {a: 4, o: 3, h: 1, y: 8, g: 1}?\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 7 + 12. Suppose 21 = 3*v + 9. Let c = 172 + -172. Solve -5*b + c*d = m*d + 10, 2*d = -v*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 24, 1, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 77\/(-14)*8*2\/(-484)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/13104 and 157\/1047648.\nAnswer: 40858272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 - 2*k - 14*k**4 + 450*k**2 - 918*k**2 + 466*k**2 as u*k**2 + z*k + r*k**4 + o + i*k**3 and give o.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37253, -74446, -111639, -148832, -186025, -223218?\nAnswer: -260411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 12*s - 1. Suppose -39 = 3*f - 3*q, -3*f + 3*q = q + 38. Let c be x(f). Let t be (-2)\/(-8) - (-34)\/(-8). Put c, -2, t in ascending order.\nAnswer: t, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 1 = 3. Let u be (c - 4)*(-11)\/3. Let k = -14 - -69. Calculate the highest common divisor of u and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*l = 69*l - 15, m + l - 3 = 0. Let i(p) = 0*p - 16 - 3*p - 3*p + p**2. Let a be i(m). Solve -3*c + 4*t = -23, -c + a*t - 19 = 4*t for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14325*s**2 - 9125049*s - 15288.\nAnswer: -3*(s + 637)*(4775*s + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -5414\/13 and -415 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 - (-6)\/54*-18. What is the fourth smallest value in 3, k, -5, 447?\nAnswer: 447","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78997.91us to seconds.\nAnswer: 0.07899791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -388\/105 + 106\/35. Suppose -5*h + 2*r - 25 = 5*r, r - 13 = h. Let l = h - -4. Which is the smallest value? (a) u (b) l (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-302 + 302 + 125*g)*(-2 + 2 + 2) + (9 - 9*g - 9)*(-2 + 7 - 1) + 5*g + 0*g - 4*g.\nAnswer: 215*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1095+411885.636783\nAnswer: 410790.636783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8643 is divided by 1423?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/7)\/(786\/(-84)). Let r = y + -8729\/524. Find the common denominator of r and (-1)\/3 + (-50)\/12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 < -220\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, b: 3, p: 6, x: 7}. What is prob of picking 2 c?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 390628898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 4*t + 74, 4*t = -2*c + 187 - 135. What is the greatest common divisor of 531 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a hour in seconds?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 42, -6957, 4, -16, 2 in descending order.\nAnswer: 42, 4, 2, 0, -5, -16, -6957","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (-1)\/(5\/15) + 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10728916*m**6 - 895*m**2 + 38*m - 25.\nAnswer: 1287469920*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 763566615?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1267 equal to -1271?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 10:57 PM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -130*t**2 - 15*t - 3*t**4 + 233*t**2 - 1 - 103*t**2 + t**3 to n + l*t**3 + s*t**4 + q*t**2 + u*t and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/4))**(-3\/13)\/((n**3\/n)\/n*n**(-21)*n) assuming n is positive.\nAnswer: n**(991\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/2))**(1\/9)*(s*s\/s**(-1\/2))\/(s\/(s*s**6)))\/((s*s**1\/s)**(-1\/39)*s**(-7)\/s*s\/s**(-5\/3)*s) assuming s is positive.\nAnswer: s**(1511\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*2\/33 + (-1852)\/(-22). Let g = o - 86. Sort g, 4, 1\/8 in descending order.\nAnswer: 4, 1\/8, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3119, -38, 1308 in ascending order.\nAnswer: -38, 1308, 3119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.45 - 0.05. Let o = 104.7 - 104.6. What is the nearest to o in -0.4, l, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l + 3. Let d be t(10). Factor 5 - 4*p + 8 - d - 12*p**2.\nAnswer: -4*p*(3*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 3 (c) 15\/4 (d) 86 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of 1\/735*k**7 - 1\/14*k**5 + 17\/84*k**4 - 2\/7*k**3 + 0 + 0*k + 1\/140*k**6 + 7*k**2. Let z(v) = 0. What is v?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -112 + 10045?\nAnswer: 7733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -1692\nAnswer: 1\/846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -4*t**2 + 2*t + 15. Let b be m(-5). Let o = b - -147. Is o <= 51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52503 is divided by 26057.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*s + 46. Suppose 0 = 5*t + 2*n - 0*n - s, -3*n = -9. Solve -2*x - j - 2 = -t*x, 0 = -x + 2*j for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -251, -276, -498.\nAnswer: -498, -276, -251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 139\/2? (a) -0.5 (b) -4 (c) 11 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l - 64. Let s be v(8). Which is greater: s or -70?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 648 is divided by 35?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/3))**(-1\/49)\/(y\/((y*y*y\/(y*y**(1\/4)*y)*y*y*y)\/y*y))**(11\/7))**(-47) assuming y is positive.\nAnswer: y**(-119239\/588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 85 - 88. Let u = 2\/5 - 1\/5. What is the fourth smallest value in u, 1, 5, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 106901080?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(165)\/(sqrt(9)\/sqrt(3)) - sqrt(220)\/(sqrt(12)\/sqrt(3))))\/((sqrt(704)*-2 + sqrt(44))\/(sqrt(4) + sqrt(8)\/(sqrt(2) - sqrt(2)*-1))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 357360 (base 8) to base 3\nAnswer: 20020012001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 7*z**2 - 9. What is w(-4)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from whwhhrwrwwhkhhwrh. Give prob of sequence kw.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 23352 divided by 3\nAnswer: 7784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12011101212 (base 3) in base 10?\nAnswer: 101624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13671 to the power of 1\/2, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/35)\/(6*(-12)\/(-45)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**3 - w**2 - 2*w - 1. Let a be n(-2). Suppose 5*i + 5 - a = 0, 2*u + 5*i = 20. Suppose 0 = -2*j + 3*j - u. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -300484.4 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 11*h - 2. Calculate the remainder when 56 is divided by t(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 4*w**4 - 3008*w**3 + 628828*w**2 - 42439824*w + 333189936 = 0.\nAnswer: 9, 142, 459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66807 and 936.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10.9 + -11. Which is the closest to 1? (a) z (b) -1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) -0.4 (b) 14 (c) -2\/7 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2 - 2*s - 1. Let a(b) be the second derivative of b**4\/4 + b**3\/2 + 546*b. What is -4*a(q) - 5*y(q)?\nAnswer: -2*q**2 - 2*q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 6*x**3 - 5*x**3 + (24*x - 21*x + 56*x)*(-3*x**2 - 5*x + 5*x))*(-1 + 1 - 2*x).\nAnswer: 352*x**4 + 14*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/4)\/(1\/4). Suppose -2*o = j*o + 55. Let w = o - -38. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46182, -46181, -46178, -46173?\nAnswer: -46166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*m - 15*m = 3*v - 188, 19*v + 2*m = 7*m + 20 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) 2\/27 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 n, and 1 k when three letters picked without replacement from {b: 3, n: 5, k: 1}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -28*o - 3. Let l(h) = 85*h + 11. What is 2*l(a) + 7*t(a)?\nAnswer: -26*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*-2*(-61 + 62). Which is the nearest to -2\/3? (a) 2\/3 (b) t (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-16)\/12 - -1)*0. Let o = -4927 - -4941. Solve 4*j = 5*s + o, 0 = -j - 5*s - c*s - 9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -i*p - 15825766*i - 4177*p - 2475 wrt i?\nAnswer: -p - 15825766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 41*q**2\/2 - 105*q + 87. Let j be v(3). Solve -3*k + 12 = j for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -168865.8241 - 6.1759. Let k = h + 168658.117. Let b = -214 - k. What is b rounded to 2 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22133231545 + -3?\nAnswer: 22133231542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8 - 10) + (6 - -1). Let y(k) = 2*k**2 - 5 + g - 4*k**2. Let c(h) be the second derivative of h**4\/12 - h. Give y(c(w)).\nAnswer: -2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - o + 1. Let i(c) = -7*c**2 - 5*c + 5. Suppose -49 = -5*k - 9. Suppose v = -v + k. Let a = 5 - v. Give a*i(d) - 5*t(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1071*x**2 - 833*x**2 - 251*x**2.\nAnswer: -13*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/220 and 93\/220.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z + 7. Let b be t(-7). Let l = -10 + 20. Suppose 2*d - 5*k - 18 = 0, -2*d + 4*d - l = k. What is the greatest common divisor of d and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 6*n - 6. Let z be ((-3)\/2)\/((-3)\/8). Let x be f(z). Suppose 2*a + x = 3*a. Calculate the remainder when 34 is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -6*i**2 + 559*i + 3167. Calculate t(-6).\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 350168201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11125 to the power of 1\/2, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0212 - 0.0212. Is m bigger than 0.0494?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 186\/12 + (-1)\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.06 - -8. Let i = j + -0.94. Let o = -3.07 + 0.07. Which is the second smallest value? (a) 0 (b) o (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369983.\nAnswer: 369983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 10 + -18 + 2 + 30 + (2 - 3)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three thirds of a year in months?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/7 - 181842*w\/7 - 7458884\/7.\nAnswer: 2*(w - 90962)*(w + 41)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -122? (a) 1 (b) 9\/7 (c) -5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1177397 to the nearest integer?\nAnswer: 1085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (0 - 3) + -4 + -4 + 10\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17280 divided by -6.\nAnswer: -2880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/(-2) - 94840\/(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*g - 5053 = -244*g + 2823 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l*l\/l**10*l))\/l)\/l**(-2\/7) assuming l is positive.\nAnswer: l**(58\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*528825\nAnswer: -264412.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - 2. Let d = i - -5. Suppose -d - 1 = -m. Solve j - 6*p = -2*p + 5, -m*p - 6 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5220, 5231, 5244, 5259, 5276, 5295?\n\"Answer: i**2 + 8*i + 5211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -982 + 7563. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, i: 2, y: 4, p: 3, s: 8}. What is prob of picking 3 s?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -2*p - 8. Let n = -1.26 - -1.16. Which is the closest to n? (a) p (b) -1\/4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 a, and 2 s when four letters picked without replacement from xrsmasaxsa?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2*q - 194, b - 87 = -b + q. What is the remainder when 177 is divided by b?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 187 and 3\/7 + (16020\/21)\/5.\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -38*q**2 - 40*q + 42. Let x(m) = -49*m**2 - 53*m + 56. Let s(u) = -9*d(u) + 7*x(u). Calculate s(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 646*x + 486*x - 924*x.\nAnswer: 208*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o**2 - 15*o - 5. What is h(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -20\/31 < -428\/537?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -446 = 11*q + 23*q + 17*q - 2639 for q.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6635?\nAnswer: 5, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0268 + -1.3288. Let g = 0.208 - v. Round g to one decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.9 times 1.8?\nAnswer: -5.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, 2\/3, 29118?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1261 - -0.0261. Put k, -3, -0.9, -2\/13 in decreasing order.\nAnswer: k, -2\/13, -0.9, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 67*m + 39*m + 31*m)*(-2 - 5 + 5)*(2*m - 2*m - 2*m + 0*m + 4*m - 3*m + (-2 - 3 + 4)*(m - 4*m + 5*m) - 2*m - m + 5*m).\nAnswer: 6*m**2 + 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*a - 20*a + 46*a - 3*a - 3*a + 3*a + (-4 + 4 - 2)*(-3*a + 3*a + a).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 + 25. Suppose k + 4*k = z. Determine q so that 5*q**k - q**4 - 8*q**2 + 4*q**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -76063430 at most -76063428?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10048 and 12288.\nAnswer: 1929216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -2046891?\nAnswer: -2046895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 5*s**3 - 4*s**2 - 6. Let d(n) be the first derivative of -5*n**4\/4 + 5*n**3\/3 + 7*n - 51. Determine 4*d(r) + 5*k(r).\nAnswer: 5*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 213230 (base 5) to base 16\nAnswer: 1c93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b**(8\/5)\/b)*b)\/b)\/(b**13*b))**(-2\/131) assuming b is positive.\nAnswer: b**(136\/655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -503 - -505. Factor 0 + 0*r**x + 1\/3*r**3 - 1\/3*r.\nAnswer: r*(r - 1)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1334 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l - 2*r - 15, 47*r + 1 = l + 45*r - 18 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*x + 2 = -h, 12 = -3*x + 3*h. Let s be (78\/x)\/(2*7\/(-28)). What is the greatest common factor of s and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1846 + -1799. Calculate the remainder when k is divided by (-4)\/10 - (-1 - (-388)\/(-20)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -2*l + 188*g - 185*g, -5*l = -2*g - 55. Solve 0 = -0*t + t + 2*m + 5, -2*m - l = 5*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -7*k + 3. Let j(p) = 13*p - 5. Determine 4*j(n) + 7*y(n).\nAnswer: 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5957\/180 - 133\/4. Let z = l + -8\/45. Suppose 0 = 4*g - 3 - 5. What is the nearest to z in -7, 5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -4. Suppose 2*s = 3*s - 3*f - 47, -2*s + h*f = -99. Is s a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*k - 1504 = 5*k - 1955 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1957562568?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.509? (a) -0.2 (b) -2 (c) 0.294 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2340 and 2652.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 81*o - 1471*o**2 - 282*o + 99*o + 102*o to d*o**2 + z + q*o and give d.\nAnswer: -1471","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(36\/14)*(-1158)\/(-1158)\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 4 (b) -1 (c) 0.4 (d) -0.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/30 - (-35)\/(-105). Let g = 0.7536 + -0.2536. What is the third smallest value in -1, g, j, -2\/57?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.095 rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1020 (base 3) to base 12\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -8 - -5 - 4) + -6?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhm when three letters picked without replacement from {m: 1, v: 1, h: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 t when two letters picked without replacement from {q: 1, t: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 348*m**2*r**2 - 5*m*r**2 + 15*m*r - r**2 wrt m?\nAnswer: 696*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10415, -20046, -29677, -39308, -48939?\nAnswer: -58570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 100 = -2*x + 56, x = 4*y - 678. What is the remainder when 1846 is divided by y?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 + 1 = -s - 3*x, -230 = -4*s - 2*x. Let b = -40 + s. What is the greatest common divisor of 153 and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*v - 8 = 0, 11 + 5 = 2*h + 4*v. Let l(q) = 35*q - 1. Let c be l(h). Calculate the greatest common factor of 19 and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003749276 rounded to six decimal places?\nAnswer: 0.003749","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -50, -80, -116, -158, -206?\nAnswer: -260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -37\/7*b + 18\/7*b**2 + 1\/21*b**3 - 179. Determine w so that m(w) = 0.\nAnswer: -37, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 48 = 0, -11*a + 29*a - 3*q + 12 - 47 = 17*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1213 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 13*t**2 - 6*t - 42. Let c be d(-13). Calculate the highest common factor of 12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 682335, 682405, 682513, 682659, 682843, 683065?\n\"Answer: 19*x**2 + 13*x + 682303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9862, -0.152, 1\/4?\nAnswer: 9862","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3*l = 2*l + 15, 5*c + l - 33 = 0. Let m = 47 - 32. Let z = m - 12. Calculate the remainder when c is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -64, -129, -206, -301, -420, -569, -754?\n\"Answer: -o**3 - 58*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4550977 to the power of 1\/3, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 g when three letters picked without replacement from isubgggbssxs.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25213 is divided by 25094?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/5 + 2*t**2 + 66*t\/5 + 54\/5.\nAnswer: -2*(t - 9)*(t + 1)*(t + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a + 3 - a - 7*a.\nAnswer: -15*a + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*i + 21. Let v(t) = -2*t - 5. Let g(a) = 3*a + 7. Determine i*v(o) - 5*g(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11570 by 2.\nAnswer: 5785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 749473 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 8*q**2 + q + 10. Let g be x(-9). Suppose -43 = -w - 3*v, -5*w + g + 97 = -3*v. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -53*v**3 + 887*v**2 + 192*v - 10782900 wrt v.\nAnswer: -159*v**2 + 1774*v + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 523*x - 3454*x - 52758 = 0 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-74)\/(-15 - (-25 - -12)). Which is smaller: a or -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 584.5 tonnes?\nAnswer: 584500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(-1)*b))**(1\/21)*(b**(2\/7))**(12\/13) assuming b is positive.\nAnswer: b**(85\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468)*2*-4 - sqrt(468))\/((sqrt(144) - (sqrt(144) - -3*sqrt(144))*-4) + sqrt(144)).\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 13) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-23)\/(184\/(-16)))\/(630\/900)?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1016 = 66*w - 370. Solve w*l - 20 = 22 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*(-34588)\/10 + 35\/(-175). Let x = -7098 + j. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n = -44 - 40. Calculate the remainder when 29 is divided by (2 - -40)\/((-1)\/((-3)\/n)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/40 of a kilometer?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 0*f + 0*f - f + 2*f + f + (-4 + 5 - 3)*(3*f - 2*f + f) + 4*f - f - 2*f - 4*f + 6*f - 3*f)*(0*f**3 + 2*f**3 - 5*f**3).\nAnswer: 15*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t**2 - 3*t + 6. Let r(j) = j**2 - j. What is -4*r(w) + v(w)?\nAnswer: -7*w**2 + w + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 16*b**2 + 16*b - 16. Let f be o(15). Let g(x) = 22*x**2. What is the units digit of g(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 (base 3) in base 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 90 + -81.1. Let p = l - 9. Which is the closest to p? (a) 4 (b) 1\/3 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 317, 624, 931, 1238?\n\"Answer: 307*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3301601074*-0.2.\nAnswer: -660320214.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21451720*a - 1485 = -21451855*a for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c + 30. Let v be g(-10). Let k(q) = 0 + 0*q**2 - 4 + q**2 - 2*q**3 + 1. Let h be k(v). Sort h, 3, 1, 8.\nAnswer: h, 1, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 46.49711 to one dp.\nAnswer: 46.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v. Let z(x) = -4679*x. What is z(d(i))?\nAnswer: 4679*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 + -20)*(-28)\/21?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3412\/39 in -2, -5\/3, 0.4, -2\/15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = l - 0. Calculate the least common multiple of l and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 21\/105 - 2\/10. Suppose z - 41 = -4*j - j, -z + 3*j + 9 = r. What is the remainder when 80 is divided by z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-15) + (-3)\/(-5). Let r be (3\/m - 6) + 3. Suppose 12 = 3*b - r*b. Let l(h) = h**3 - 4*h**2 + h - 2. Determine l(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**3 - 250*i**2 + 2445*i + 2700 = 0.\nAnswer: -1, 15, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 14) to base 2.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -89 + -56 + 10 + 70\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 c when two letters picked without replacement from {c: 14, k: 5}?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 + 0*h**2 - 2*h**2)*(h**2 + 3*h**2 - 3*h**2) - 3*h**4 + 25*h - 25*h + (-17 + 3 - 9)*(2 - 2 - h**4) + (h**2 - 4*h**2 + 2*h**2)*(2 - 2 - h**2).\nAnswer: 19*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -113 + 114. Let r be (6\/(-117))\/(1\/1). Which is smaller: n or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40926 is divided by 585?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n - y + 23, -8 = -0*n - 5*n + 4*y for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 + -64. Let n = p - -38. Let i(h) = -2*h - 16. Let t(f) = -f - 15. Let z(m) = n*i(m) + 4*t(m). What is the derivative of z(y) wrt y?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/10*(-2852)\/186.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 78357509 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204109?\nAnswer: 401, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18319\/43 + -426. Which is the biggest value? (a) 0 (b) j (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1049*d**5 - 57*d**2*w**2 + 2*d*w**2 + 1545111*w**2 wrt d?\nAnswer: 20980*d**3 - 114*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 9 - 10 + 3*j)*(-2 - 3 + 7).\nAnswer: 6*j + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4187924 divided by 4\nAnswer: 1046981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**3 - 75 - 2*h**3 - 13*h**3 + 10*h**3.\nAnswer: -4*h**3 - 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 10. Suppose 4*g = 4*q + 44, 0*g - 31 = -3*g + 5*q. What is the remainder when 14 is divided by (t\/(-3))\/((-2)\/g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 132 and 693.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-98)\/(-5)*(509350\/(-3507))\/305.\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -274\/7 - -39. Let w be 144\/135 + (-2)\/5. Which is the nearest to -7\/4? (a) 0.1 (b) w (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*o, 10*z = 15*z - 2*o + 18 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**2 + 0*x**2 + 2*x**4 + 4*x**2 - 3*x to f*x + o + b*x**2 + a*x**4 + m*x**3 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sggvvvvgggv. Give prob of picking 1 g, 1 s, and 2 v.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -9. Let y = 0.2 + -0.2. What is the closest to 1 in y, b, -0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35958798 and 138?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 12, d: 1}. Give prob of sequence mdd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 5. Suppose 16 = 4*j - t*s - 9, -5*s - 25 = 3*j. Let d = 9 - j. Solve 4*f = f - d for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 i when three letters picked without replacement from iniininiiiqni.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54684, 109436, 164172, 218886, 273572?\nAnswer: 328224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 8:33 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.32345335 rounded to 1 dp?\nAnswer: 38.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39562 = 216*x + 34162 for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/5)\/(f*((((f\/(f\/(f*f**(-8))))\/f)\/f)\/f)\/f)*(f*f**(-17))\/f*f**(-3\/2))**(-23\/5) assuming f is positive.\nAnswer: f**(2093\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*z - 3320 + 38220. Does 8 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-42) - (-2733)\/(-63)*3. Let j be 25240\/v + 4\/26. What is the tens digit of (j\/2)\/((-4)\/4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r - 6. Let x be q(-7). Let n = 29 - x. Let a be 32\/n + 2\/(-7). Put -4, 5, a in descending order.\nAnswer: 5, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*y = -8*y - 45. Suppose t = 0, -12 = 3*p - 0*t + 4*t. Put -3, -1, y, p in decreasing order.\nAnswer: y, -1, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3 + 117768*n**2 + 706689*n + 1060074.\nAnswer: -3*(n - 39262)*(n + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5*q - 78 = 2*q, 0 = -5*q - 10. Suppose -73 = -2*m - 2*m + f, 0 = 3*m - 5*f - i. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -17397, -34781, -52165?\n\"Answer: -17384*v - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of j**7\/840 + j**6\/45 - j**5\/120 + j**4\/12 + j**3\/6 - 5*j**2. Let q(a) be the first derivative of d(a). Is q(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -23, -46, -69, -92, -115?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -126550, -126695, -126926, -127237, -127622, -128075, -128590?\nAnswer: -129161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 53264980 rounded to the nearest 100000?\nAnswer: 53300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -6816.234, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -179? (a) -33 (b) -16 (c) 3 (d) -4 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -m + 309860. Let y be 3\/(-1) - m\/(-68). Let o = y - -916. Find the common denominator of o and -4\/3.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 559761.\nAnswer: 3, 186587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8465*l + 8495*l = -270 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z + 8. Let r be u(-4). Let d be (-2)\/(-22)*-34 - -3. Let o = -1685 + 1687. Which is the closest to 0? (a) o (b) d (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2333?\nAnswer: 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + -3 - -1)\/(1\/(-2)). What are the prime factors of (-418)\/(-4) + (-6)\/w?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 18. Let i(y) = -y**3 + 8*y**2 - 6*y + 5. Calculate the remainder when i(v) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*i = -274*i + 55*i - 19*i + 5040 for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 4*r**2 + r - 1. Let d(b) = b**3 - 2*b**2 - 5*b + 14. Let a be d(2). Let n be j(a). Solve -q + 12 = n*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 154*j**3 - 2*j + 2. Let m = 5 + -4. Let d be q(m). Let i(b) = -b**2 + 8*b + 2. Let p be i(6). Calculate the highest common factor of d and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-37)\/(-2))\/((-10)\/(-11 - -6)) and 85\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6*-10*(-3)\/8 and (-10)\/(-12)*(-5)\/1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 9*m**3 - 2*m**2 - 5*m - 4. Let w(l) = -9*l**3 + l**2 + 3*l + 5. Determine -3*w(u) - 2*x(u).\nAnswer: 9*u**3 + u**2 + u - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1559*c**3 - 89284 + 88745 + 386*c**3 wrt c.\nAnswer: -3519*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64568741+-4\nAnswer: 64568737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 209 + 5a?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 22*c**2 + 48*c + 4. Let x be v(-24). Let o be (x - -1)\/5*4. Put o, -1\/2, 0.15 in ascending order.\nAnswer: -1\/2, 0.15, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14166059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2243?\nAnswer: 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -2*z - 17, 5*c = 4*z + 13 + 6. Put z, -0.3, -2\/15 in descending order.\nAnswer: -2\/15, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -w**6\/180 + 3*w**5\/40 - 7*w**4\/18 + w**3 - 4*w**2\/3 + w - 1. Suppose j(c) = 0. What is c?\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/20 of a milligram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(385)\/(sqrt(7) + (sqrt(7) - sqrt(7)*-3)))\/((sqrt(77) + sqrt(77)*1 + sqrt(77))\/sqrt(7)))**2.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 - 134*i + 1671. What is t(17)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.199562 times 0.2?\nAnswer: -0.0399124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -59 + 89. What is the highest common factor of b and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 36 = -0*h. Let t(k) be the third derivative of k**5\/60 + 11*k**4\/24 + 8*k**3\/3 - 2*k**2. Does 12 divide t(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16\/1232*-1127 + 15\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-35)*u\/(u*u\/(u**(-35)\/u)))\/(u**(2\/5)\/((u\/u**(-3\/19))\/u*u)) assuming u is positive.\nAnswer: u**(-6768\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23484 and 14208.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*((sqrt(15)*5)\/sqrt(5) + -1) + 5).\nAnswer: -15*sqrt(3) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -558 - -541. Which is the closest to -2\/3? (a) y (b) 1 (c) -0.06 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*o = 768 - 704. Sort -6, 2, 5, o, 73 in ascending order.\nAnswer: -6, o, 2, 5, 73","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -142 or -146?\nAnswer: -142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*m + 132*m - 350 = 0. What is the highest common divisor of 28 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from nncnncnnnnncnc?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 10 + 16711*m - 10.\nAnswer: 16711*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -17*r**2 + 64*r - 35. Determine v(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + l. Let c(o) = 6*o**3 - 2*o**2 + 3*o + 1. What is -c(n) + 3*p(n)?\nAnswer: -6*n**3 - n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(3) + (1*sqrt(15))\/sqrt(5) - sqrt(1728) - (-1*sqrt(27) + (3 + sqrt(363) - sqrt(363)))))**2.\nAnswer: 266*sqrt(3) + 1132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/27040 and -143\/488880.\nAnswer: 165241440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 51 + 3 + (-1 - -1). Let x = -54 + c. Suppose 3*z - 5*r = 0, -z + 4*r - r = x. What is the third biggest value in z, -0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of w**6\/360 + 11*w**5\/12 + 9*w**4\/4 - 164*w**3\/9 + 557*w**2. Factor m(y).\nAnswer: (y - 1)*(y + 2)*(y + 164)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-4)\/j**1*(j\/(j**(-2)*j))\/((j*j**(-1\/16))\/j)*(j**(4\/9)\/(((j\/(j**(-6)*j))\/j*j)\/j))**(-2\/27) assuming j is positive.\nAnswer: j**(-10109\/3888)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ui when two letters picked without replacement from {i: 2, g: 5, u: 7}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-2\/5)*u)**(2\/41)*(u*((u\/(u*u*u**(1\/5)))\/u)\/u)\/(u*u**(6\/5)) assuming u is positive.\nAnswer: u**(-886\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, b: 2, i: 6, q: 2, t: 3, n: 5}. What is prob of sequence nnb?\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33681 - -33683.2807. Round i to one decimal place.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 59\/5 - (-27)\/135. Suppose 38*k - p*k = 25662. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -39\/7 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3 + ((sqrt(10)\/sqrt(5) - sqrt(2)) + sqrt(2))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11295*l + 4699*l - 10832*l.\nAnswer: -17428*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0353791 to 3 dps.\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by 29946.\nAnswer: 8\/14973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2023409 is divided by 16187.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -33046*d**2 + 161524 wrt d?\nAnswer: -66092*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1068 - 1066. What is the third smallest value in 3\/5, y, -0.47?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-2) - 20\/8. Let w be 8\/(-28) - 46\/(-14). Let c = y + w. Solve 2*j - 8 = -5*g, -5*j + 5*g + c = 15 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 377502*n - 4. Let p be m(2). Round p to the nearest 10000.\nAnswer: 760000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 564 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -169\/48 + 151\/48. Put -1.38, -2, k in increasing order.\nAnswer: -2, -1.38, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14330.6 rounded to the nearest one hundred?\nAnswer: -14300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -5*c - 16. Let x(i) = 53*i - 52*i - 6 + 9. Determine -4*t(o) - 22*x(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7540000 rounded to the nearest one hundred thousand?\nAnswer: 7500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 3*r - 0*r + 73 - 12, 8*r - 60 = -2*r - 10*r for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b. Let f(m) = -10*m - 13. Let w(r) = -f(r) + 6*g(r). Let c(j) = 6*j + 20. Calculate 5*c(d) - 8*w(d).\nAnswer: -2*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33 and (-2 - 1\/1)*(3 + (-838 - 8)).\nAnswer: 27819","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 3:43 PM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 18*y**5\/7 - 1508*y**4\/7 + 1158*y**3\/7 + 332*y**2\/7 = 0.\nAnswer: -2\/9, 0, 1, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.2125 - 5.\nAnswer: -12.2125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 40*a**2 + 44*a - 1715. What is n(6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1609630859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-73 - 7*x + 73)*(-x**2 + 3*x - 3*x).\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of z**3\/6 + 4*z**2 - 2*z. Let r(b) = b + 7. Let w be r(-7). What are the prime factors of s(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(1\/3)\/a))**(-2\/15)\/((a\/(a\/(a*a**(-2\/9))))\/a)**7)**46 assuming a is positive.\nAnswer: a**(184\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4067 - -4068. Solve 0*p - w = -l - p, -2*l - p = 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 83*k - 4. Let x = -109 - -110. Let i be 3*6\/9*x\/2. Is d(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1095 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: Calculate -492701 divided by -10483.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -q**5\/5 - q**4\/4 + q**2\/2 - q - 5. Let w(k) = k**4 - 14*k**3 - 25*k**2 - 16*k + 6. Let y(t) = 6*s(t) + w(t). Factor y(g).\nAnswer: -5*g*(g + 1)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -56 - -58.7. Let j = c - -1.3. Suppose -4*w - 5*u = -2*u - 1, 3*u = 4*w - 7. Put -2, j, w in decreasing order.\nAnswer: j, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**3 - 17*y - 25675*y**2 + 0*y**3 + 25680*y**2 in the form c + o*y**3 + k*y**2 + x*y and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(1\/6)*t)*t)**(-1\/32)*((t**(1\/13)\/t*t)\/t)\/(t**(-2\/49)*t) assuming t is positive.\nAnswer: t**(-233393\/122304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (44\/231)\/((-21)\/(-630))?\nAnswer: 40\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -4*f - 2*o + 128, -96 = -3*f + o. Suppose -3*t = -5*s - 178, 2*t + 3*t = -2*s + 307. What is the remainder when t is divided by f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**2*s**4 - 8783*b**2*s**2 - 306*b**2 - 13*b*s**3 + 3132*s**4 wrt s?\nAnswer: 48*b**2*s - 78*b + 75168*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*z + 8 + 7 - 15 to b + x*z and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -392*s**2. Let o(c) = 26*c**2. Calculate o(m(r)).\nAnswer: 3995264*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 p, and 1 h when four letters picked without replacement from pphxlphhppplx.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5322 (base 6) in base 15?\nAnswer: -552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*c - 535 = 0, -2*i = -6*i - 3*c + 723. List the prime factors of (i\/3)\/(-3)*(-3059)\/46.\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31835 times -2\nAnswer: 63670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140 + 70 = 700*q - 679*q for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of 1444*k**3\/3 + 471*k**2\/2 - 154. Find the second derivative of m(c) wrt c.\nAnswer: 2888","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.97 + 7.97. What is the second smallest value in 2, -56, -0.5, k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -2.03. Let w = i + -0.47. What is the third biggest value in w, -1\/5, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/(((-3470)\/(-865) + -4)\/(-2)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -7. Suppose g*o - o + 16 = 4*z, -5*z = -5*o - 30. Is (-667)\/o - 8\/(-32) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1298, -1300, -1302, -1304, -1306, -1308?\nAnswer: -1310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/5 (b) 2 (c) -2\/499\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*152*(-1)\/(-2) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3394931731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-164)\/287*(-7)\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33984922?\nAnswer: 2, 181, 269, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/20)\/(350\/(-400))*15?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -1092 (c) 93\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/3484 and 57\/268.\nAnswer: 3484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-5)\/((m**(-5)*m)\/m))\/((m*m\/((m**3*m)\/m)*m)\/m**1))**(-2\/127) assuming m is positive.\nAnswer: m**(-2\/127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -b - 0*b. Suppose -2*o = -0*o - 4. Let u(x) = -o*x - 2*x + b*x. Let a(i) = -7*i**2. Give u(a(w)).\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 7*s**2 + s - 9. Let c be v(7). Suppose a + 3*a - 22 = -5*r, -a = 5*r - 13. Let g be (-32 - -2)*(-2)\/6. Put g, c, a in decreasing order.\nAnswer: g, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**4 - 30*d**3 - 334.\nAnswer: 8*d**3 - 90*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 78*z**2 - 4*z + 732 wrt z?\nAnswer: 156*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, x: 13}. What is prob of picking 2 x?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -3 + -2 - 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-16480)\/480 + (-15)\/(-18) and -41\/286.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4286455?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-10)*w**(-5)*(w\/((w*(w**(-3\/7)*w)\/w)\/w))\/w**(3\/5) assuming w is positive.\nAnswer: w**(-461\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 3*q + 2*q + 49, -4*q = 4*y - 52. Find the common denominator of 1498\/(-180) + y\/54 and 119\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 0 + 12 = 3*i, 2*i - 9 = g for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1062 divided by -6.\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - f - f)*(1 - 954*f + 187*f - 771*f).\nAnswer: 3076*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 v, and 1 s when three letters picked without replacement from {u: 2, s: 1, p: 5, v: 1, d: 1}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*q + 8 = 0. Suppose -f = q - 5. Solve 4*r - 7 = x + 15, f*x = 2*r - 16 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/28 or 54150?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40472681?\nAnswer: 109, 151, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-16 - (7 + -8)) - 8.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 2*f - 3*f)*(-3*f + 3*f + 2*f**3) + 3*f**4 - 4*f**4 + 0*f**4 + 2*f + 2*f**4 - 2*f + (-140*f + 248*f + 151*f)*(-3*f**3 + f**3 + 3*f**3).\nAnswer: 250*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -5*i - 25, 4*i = -0*k + 4*k - 20. Suppose 0 = -k*w + 4*w - t - 471, -2*t = 5*w - 579. Is w a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11*3\/33*(-1*26)\/2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-4\/3)\/((i*i**1)\/i)*i*i\/i**(-1\/25)*i**(1\/19) assuming i is positive.\nAnswer: i**(-343\/1425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 315*f**2 - 18*f + 1. Let h be z(11). Suppose 9*c = h - 2871. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 5*u - 1277, -u - 252 - 74 = -v. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/19 (b) -3\/2 (c) 1 (d) -4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00065421 to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*k - 32, -56 = -f - 4*f + 2*k. Solve 0 = 2*r - 5*r - f, 0 = -2*b - 3*r - 10 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(15)*3 + sqrt(60)*6)\/((sqrt(168)\/(sqrt(7) - sqrt(28)))\/((sqrt(96)*-2 + sqrt(96))\/sqrt(12))).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 173*z**2 - 2*z - 3. Let u(l) = -55*l**2 + l + 1. Let i(o) = -3*u(o) - v(o). Determine i(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165818857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of g**5\/60 + g**4\/12 + 10*g**3\/3 - 12*g**2. Let u be y(-8). What is the derivative of -25*n**2 + 35 + u*n - 32*n - 36*n wrt n?\nAnswer: -50*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 437313 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-71 - 57*c + 31 + 37)*(2*c**2 - 2*c**2 - 2*c**2).\nAnswer: 114*c**3 + 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 713.8765303 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.086 - 25.486. Let j = f - 51. What is j rounded to the nearest integer?\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3835736 and 5992?\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -908*o + 31591 = 7983 for o.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 30470 and 3.6.\nAnswer: 109692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 13*i - 17. Let s be v(-11). What is the units digit of 81\/(-15)*(-10 + s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 26*n - 111. Let b be f(-23). Let c be (-17)\/(102\/9) - 99\/b. Find o such that 2\/7*o**3 + c*o**4 - 2\/7*o + 0 - 6\/7*o**2 = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -5*j**2 + 13285*j - 66300 = 0.\nAnswer: 5, 2652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -k**5\/30 - k**4\/6 + 3*k**2. Find the second derivative of x(y) wrt y.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 33 - 2 - d**2 - 43.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l - 1. Let r(c) = -2*c. Let a be r(-1). Suppose m - a = -0. What is n(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -c**7\/21 - 8*c**6\/15 - 5*c**5\/2 - 19*c**4\/3 - 28*c**3\/3 - 8*c**2 - 59*c. Find j, given that u(j) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**4 + f**4 - f**4 + 3 + (4*f**2 + 0*f**2 - 2*f**2)*(-19*f + 19*f + 2*f**2 + 11).\nAnswer: 2*f**4 + 22*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1050 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*r**4*y + 41*r**4 + 9*r**2*y**3 + 4*r*y**3 - 4*r*y + 2*y**3 - 30*y**2 wrt r?\nAnswer: 24*r**2*y + 492*r**2 + 18*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 550140390?\nAnswer: 2, 3, 5, 179, 11383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7157981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1077148.\nAnswer: 2, 19, 14173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14042254 (base 6) in base 3?\nAnswer: 212222211221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3436*g + 917407. Give s(267).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 52*i**3. Let w be g(1). What is the highest common factor of w and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 21*c - 64 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 96 = -22*d + 270. Solve -w = -2*i + d, 2*i - 4*i + 3*w = -14 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -4 + 5\/3*w**3 - w - 1\/2*w**2. Let g be t(-1). Put -8, g, -1 in decreasing order.\nAnswer: g, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of g**4\/2 + 5*g**3\/3 + 5*g**2\/2 - 2*g - 7124. Let b(v) = 9*v**3 + 21*v**2 + 21*v - 9. Determine 5*b(l) - 21*c(l).\nAnswer: 3*l**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 + 56*a**2\/5 - 24*a\/5.\nAnswer: 2*a*(a + 6)*(5*a - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 522265802?\nAnswer: 2, 261132901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**2 + 8. What is the remainder when d(-4) is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -3*o + 156, -4*a + o + 2*o = -114. Suppose -2*h + a = -2*b, -h = 7*b - 3*b - 10. Calculate the remainder when h is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - 74. Let g = k + 78. Solve 0 = 4*f + 10 + g for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 255*q**5\/4 + 7590711*q**4 - 715185*q**3\/4 - 45544011*q**2\/2 + 15717237*q - 357210 = 0. Calculate q.\nAnswer: -119070, -2, 2\/85, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert da5 (base 14) to base 5.\nAnswer: 41233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/16*-288*(-77)\/25872.\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 229938 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 11*d**2 - 11*d + 12. Let k(h) = 2*h**2 + 9*h - 8. Let p be k(-6). Let c be s(p). What is the hundreds digit of ((-43)\/c)\/(11\/(-110))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 249540 and 4065?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -1, 0.1, 202, 4\/7, 1.1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t**2 + t - 1. Suppose 3*d - 8*d - 4*s - 8 = 0, 2*d = -2*s - 4. Suppose d = -c + 65 - 64. Give a(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 492791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 1.28921, 0.04?\nAnswer: 1.28921","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 520 - 618. Which is smaller: h or -96?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -13, 36, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5\/6))**(-6\/25) assuming m is positive.\nAnswer: m**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1152, 1156, 1146, 1116, 1060, 972, 846, 676?\n\"Answer: -b**3 - b**2 + 14*b + 1140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -23*a - 66. Give h(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1865 + 3187. Suppose 4*u - t - 1325 = -2*t, 0 = 4*u - 2*t - z. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hi when two letters picked without replacement from {h: 1, v: 1, i: 1, o: 1, x: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -108, -215, -322, -429, -536, -643?\n\"Answer: -107*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1083445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -394 divided by 197?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4283075\/104 less than or equal to 41184?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 43693797.6 rounded to the nearest 1000?\nAnswer: 43694000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/(-6) - (-44)\/8. Let l(m) = i*m + 2*m - 2*m + 3 - 5. Let t(j) = -11*j + 6. Let w(b) = -b - 19. Let r be w(-13). Calculate r*t(k) - 17*l(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/44)\/(9\/(-18))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + 0. Suppose -115*y + 133 = 4*g - 118*y, -3*y - 22 = -g. Which is bigger: g or m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -478*i**2*r**3 + 5655*i**2*r - 6*i*r**2 - r**3 - 4*r wrt r?\nAnswer: -2868*i**2*r - 12*i - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b - 9*b - 3*b + b + 6*b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 5:54 PM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 232417 = -3*g + 1257334, -g = -5*f - 341651. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/2 - 2533*n**2\/2 - 20378*n - 35686.\nAnswer: (n - 2549)*(n + 2)*(n + 14)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 5, -3.5, 0.5281?\nAnswer: 0.5281","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - 15. Suppose -b = -0 - w. Suppose r - b = -4. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 2 - 23, 4*h = -5*z + 5. Let v be 5 - (-2 + 1) - 6\/(18\/6). Suppose -2 = g - 1. Put h, v, g in increasing order.\nAnswer: h, g, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 2*s + 3. Let g(v) = -2*v**2 - 3*v - 4. Suppose 2*i + 502 = -4*n + 4*i, -2*n + 5*i = 231. Let j = n - -126. Give j*g(f) - 3*x(f).\nAnswer: f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uj when two letters picked without replacement from {h: 1, u: 2, o: 1, j: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 234 divide 268938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -6. Let d(w) = w - 1. Calculate 2*a(n) - 2*d(n).\nAnswer: -2*n - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*v - 3*f, 4*v - 1245*f = -1247*f + 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 1267*g**2 - 81*g. Let z be l(-32). What is z rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 10:51 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/25 - 3308\/(-20) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 5*r. Let s = 31 - 30. Let j(o) = o + 1. Let u(c) = s*v(c) - j(c). Determine u(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/((-825)\/18))\/((-53)\/(2650\/3))?\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 n when two letters picked without replacement from mzymcjn?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-45)\/(-18) + -3)*-6. Let m be (-38)\/(-6) + 2\/(-6). Are m and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245578 is divided by 1949.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00048884847 to 7 dps.\nAnswer: 0.0004888","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -4. Suppose h*r - 7*r + 25 = 0. What is the third derivative of c**2 - c + c - 2*c**r wrt c?\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -172449.02, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-71)\/(12922\/156))\/((-15)\/7)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i - 2*i + 2*i - i + 0*i - i + (-4*i + 2*i + 0*i)*(0 + 3 - 5) + 2*i + 0*i - 3*i + 9*i + 98 - 98 to the form s*i + b and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.06706 - 4.93294. What is the fourth smallest value in -0.3, s, 10.2, -15?\nAnswer: 10.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 640156 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 3\/5 (b) 2 (c) -4\/9 (d) -284\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 23 = -3*r + 2*t, 2*r + 14 = t. Let w = 0.15 + -0.05. Let v be 1222\/(-1716) - 12\/(-22). What is the nearest to w in -1\/2, v, r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18133?\nAnswer: 18133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 632\/3*g**3 - 28\/3*g**4 - 6560\/3*g + 1600\/3 - 16\/3*g**5 + 484\/3*g**2 = 0. What is g?\nAnswer: -5, 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6\/57673 and -75\/32?\nAnswer: 1845536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -170389, -170385, -170379, -170371, -170361, -170349?\nAnswer: -170335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 + 46. Let n = 13 - 8. Calculate the remainder when 1\/(((-5)\/(-58))\/n) is divided by c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 2*b - 2. What are the prime factors of a(-5)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 - -27e1?\nAnswer: 27e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**3 - 2*a**2 + 4*a + 2. Let r(g) = -2*g**3 + 2*g**2 - 3*g - 2. Let z = 9 + -13. Let h = -7 - z. Suppose 4*k = k - 12. Determine h*w(q) + k*r(q).\nAnswer: 2*q**3 - 2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 8. Let i(q) = -39. Let l(z) = i(z) + 5*m(z). Let s(d) = -3*d + 4. Give 3*l(b) - s(b).\nAnswer: 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51 by 923789.\nAnswer: -51\/923789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -8316789*g. Let t(w) = 3*w. Give c(t(k)).\nAnswer: -24950367*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -2. Let c be (69\/3 + z)*-1. Let q = 9 - c. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-683 - -689) + (3 - (1 - -1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a century in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 52 = -106. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -4*n**4 + 89724*n**3 + 89728*n**2 = 0.\nAnswer: -1, 0, 22432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -2. Let d = -12 + c. What is the common denominator of -53\/3 and (-154)\/56*d\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33479*b**6 - 5*b**2 - 3812 wrt b?\nAnswer: -4017480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, -0.3, 21483?\nAnswer: 21483","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000620193411 to 6 decimal places.\nAnswer: -0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -784c (base 15) to base 16\nAnswer: -6399","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -83, -98, -93, -62, 1, 102?\nAnswer: 247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11422363021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7350 and 84?\nAnswer: 14700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 89898632 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/367, 6\/7.\nAnswer: -1, -1\/367, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 10:58 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 435 divided by 184?\nAnswer: 435\/184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*p - 14 - 40. Let b be (-9)\/p*(-20)\/165. Sort -1\/3, -1, 16\/7, b in decreasing order.\nAnswer: 16\/7, b, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -398 - -396. Let x(w) = -2*w**3 - 3*w**2 - 4*w - 3. Give x(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84843 and 8.\nAnswer: 678744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(24\/(-7)) - 63\/(-30)) + -9\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s*s**1)\/s)*s)\/(s**(-4\/5)\/s))\/(s\/((s*s**(-1)*s*s*s)\/s))**18*(s\/(s*s**0\/s))**(-26)\/(s*s**(1\/4))**(-4\/25) assuming s is positive.\nAnswer: s**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -c**6\/120 - c**5\/12 - c**4\/24 - c**3\/2 - 3*c**2. Let j be u(-5). What are the prime factors of (-10)\/j*8\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -92, -82, -50, 16, 128, 298, 538, 860?\n\"Answer: 2*w**3 - w**2 - w - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 542*w + 552*w - 186*w.\nAnswer: 908*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2341*x**4 - x + 6*x + 292*x**4 + 316*x**4 - 112*x**2 + 24*x**2 wrt x?\nAnswer: 70776*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/15)\/((-1)\/(-9)). Let x be (-35 - (-4 - -2))*-2. What is the highest common factor of w and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d**4\/2 + 2061*d**3\/2 + 23373*d**2\/2 - 191469*d\/2 + 53010 = 0. What is d?\nAnswer: -124, -19, 3\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a decade in months?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -333, -381, -417, -417, -357, -213, 39, 423?\nAnswer: 963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 7*q**2 - 3*q - 2. Let y be v(3). Suppose -f + 2*p = f + y, -2*f = 2*p + 32. What are the prime factors of f\/(1\/(1 + -2))?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/4*(-42)\/35. Let t = -76 - -48. Let b = t - -22. Put 0, b, 0.3, r in decreasing order.\nAnswer: 0.3, 0, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7030031 is divided by 581?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*g - 48 = -0*m, 5*m = g + 93. Let b(z) be the second derivative of -z**3\/3 + 18*z**2 - 11*z. What is the remainder when m is divided by b(15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of d**3\/2 + 4*d**2 - 114*d. Let k = 2 + -8. What is j(k)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80208 and 164160?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 11*h**2 + 0 + 1\/6*h**3 + 0*h. Let t(w) = -w - 7. What is 10*c(d) + 2*t(d)?\nAnswer: -2*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(126) + sqrt(126)*-2)*1)\/(((2*sqrt(88))\/sqrt(4))\/(sqrt(99)*-1)).\nAnswer: 9*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z + 4. Let t be u(-4). Calculate the common denominator of -36*(t\/(-3))\/(-28) and -20\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 292 + -277 - (23 - -1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-16))\/((a**(1\/22)*a)\/a) assuming a is positive.\nAnswer: a**(-331\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 k when two letters picked without replacement from {k: 6, n: 1, p: 2, c: 4}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-6)*(-4)\/7)\/(140\/(-126)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**3 - 4*q + 3. Let u(k) = 3*k**3 - 4*k + 4. Calculate 4*c(v) - 3*u(v).\nAnswer: -v**3 - 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 4*r. Let i be y(3). Suppose 0 = 2*s + 4 + 22. Let u = i - s. What is the least common multiple of 3 and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22793 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = 4*u + 3*t - 650, 0 = 3*t. What is the highest common divisor of 308 and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31948, -127366, -286456, -509218?\nAnswer: -795652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -383*j - 4416. Calculate n(-10).\nAnswer: -586","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 5:51 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(8) + sqrt(32)\/sqrt(4)))\/((4*sqrt(16)\/sqrt(4) - sqrt(4)) + sqrt(4) - sqrt(4)).\nAnswer: 2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -5*o**2. Let z(g) = 196821*g. What is z(x(i))?\nAnswer: -984105*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 3*i + 3*k + 6, -2*i = -4*k + 22. Sort i, 5, 53 in descending order.\nAnswer: 53, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*q = 30*q - 18*q + 480 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 w when three letters picked without replacement from {w: 3, d: 1, k: 4, b: 5}?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -23, -0.2, -62, -4?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -15*x + 3. Let v(j) = 182*j. Determine v(w(t)).\nAnswer: -2730*t + 546","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -402 - -406. Solve 0 = n + p + 6, x*n + 12 = 3*n - 3*p for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - o - o + (-4*o + 4*o - 2*o)*(4 - 5 - 1) + 0 + 0 + 2*o + 0*o + 0*o + 4*o)*(-1 + 4 - 4).\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) -4 (b) 2\/7 (c) 211\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 3. Let t(v) = -3*v + 8. Let m = 11 - 9. Suppose -m*s - 13 = -5. Let y(u) = -2*u**2 - 3*u + 9. Let q be y(s). What is q*h(w) + 4*t(w)?\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53 - 57. Let j = 11 - 12. Which is the biggest value? (a) 4\/3 (b) 0.05 (c) j (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 1575?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, f: 3}. Give prob of sequence fdd.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (490\/5)\/(1463\/209).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 2:58 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 41310233000?\nAnswer: 41310232441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 5*u + 41*u)*((-3 + 2 + 0)*(3*u + 2*u - 4*u) - 3*u - 2*u + 4*u).\nAnswer: -70*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -3*j + 1\/20*j**5 + 0*j**3 + j**2 + 0*j**4 + 0. What is the first derivative of o(c) wrt c?\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/9 and 65\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-111)\/(-6) + (-4)\/(-8). Suppose d - 15 = 2*l. Suppose l*j + 108 = 5*j. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*v + 59*v - 43*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 11. Suppose 3*r - 7*r + 2 = -o, 0 = -3*o - p*r - 6. Put -3, o, -5 in descending order.\nAnswer: o, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25302270\/30823 - 7473277151647\/9093771336. Let c = -1\/5176 - f. Find the common denominator of c and -119\/12.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 14*m - 26. Determine u(-13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*q + g + 21, -3*g - 15 = 0. Suppose 9 = 3*u + 3*p, -2*p + 7 = q*u - 4. Put -2, u, 4 in decreasing order.\nAnswer: u, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 604 = 143. Suppose -a = w - 1186. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 82\/(-164)*(-12)\/10. Which is the closest to 0? (a) 3 (b) 0.5 (c) -5 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, o: 1, c: 4, h: 1, w: 2}. Give prob of picking 1 o and 2 c.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21867?\nAnswer: 3, 37, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41332*b**3 + 4*b**2 + 234*b + 1417?\nAnswer: 247992*b + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8895 + -8890. Which is the fourth biggest value? (a) 4 (b) -26 (c) i (d) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -45 - 355?\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147197?\nAnswer: 147197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14.5 + -15.45. Let q = -1.15 - b. Are -85 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27716 and 416.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -4*w - 9. Let y be s(-6). Let r(t) = 2*t**3 + t**2 - 4*t + 3. Let u be r(2). What is the highest common factor of u and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**4\/8 - 64*s**2. Let b(l) = -4*l + 6. What is m(b(j))?\nAnswer: -12*j + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5*j + 8. Let r(h) = 4*h + 7. Let k(a) = -2*n(a) + 3*r(a). Let x(y) = y. Let g(f) = k(f) - x(f). What is g(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*z + 31*z - 21*z**3 + z**2 + 11*z.\nAnswer: -21*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0171 - -29.6171. Which is bigger: -2\/5 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 232 divide 86304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - (-6)\/(-9)*48. Let c(p) = p**2 + 6*p - 1. Let s be c(-6). Is 16 a factor of 1*1\/s - l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/(sqrt(2) - -2*sqrt(2)) - (-1 + sqrt(117)).\nAnswer: -8*sqrt(13)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 701.3769 years in millennia?\nAnswer: 0.7013769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -8*h**2. Let c(k) = 4*k - 11. Let s be c(4). Let x(g) be the first derivative of 0*g + 1\/3*g**3 + 0*g**2 - s. Determine b(x(m)).\nAnswer: -8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3487.605 - -3483. What is b rounded to one decimal place?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 6*d**3 - 5*d**2 - 7*d - 4. Let x = -58 + 49. Let k(p) = 728*p - 13*p**3 + 673*p - 1386*p + 11*p**2 + 9. Calculate x*u(h) - 4*k(h).\nAnswer: -2*h**3 + h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-27)\/(-5) - (-20)\/(-50). Let x = 1 - 0. Which is the closest to x? (a) -1\/3 (b) i (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -14*y**3 - 3*y**2 + 1. Let a be x(-1). Solve 0 = 4*p - p - a for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16.09 + -0.09. Let y = -16 + o. Let w = -916 - -917. What is the biggest value in y, w, 0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27726*l*m + l - 11*m**2 - 2*m - 379713 wrt m.\nAnswer: -27726*l - 22*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 358, -17, -3 in decreasing order.\nAnswer: 358, 3, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 45912319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (72\/20)\/(2\/40). Suppose -17*a + 21*a - v = 0. Suppose -20*r + 238 = -a*r. What is the greatest common factor of r and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a + 5*y + 26 = -2*a - y + 8, 4*a = 3*a - 32*y + 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28606788?\nAnswer: 2, 3, 7, 16217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 141 - 169 - (19 + -9 + -13 - (-12 - 1))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 - 200*w**2 + 151 - 65 - 42.\nAnswer: -200*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a. Let k(m) = -3*m**3 + 10*m. Give k(x) + 4*s(x).\nAnswer: -3*x**3 + 6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -213700000 rounded to the nearest 1000000?\nAnswer: -214000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 14 = 3*x, -3*b - 4 - 2 = 3*x. Let a be 159\/(-9) + x\/(-6). Is 2 a factor of (-48)\/a + (-2)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*c + 31*c - 210 = 0. Suppose x = -7*p + 3*p + 15, 5*x - c = -2*p. Solve -y = -p*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -435*h**2 - 627*h + 4. Let p(y) = -872*y**2 - 1253*y + 9. Let i(d) = -2*p(d) + 5*v(d). Find the second derivative of i(j) wrt j.\nAnswer: -862","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115.9127 weeks in seconds?\nAnswer: 70104000.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 497838 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 p when three letters picked without replacement from plopllvllelllollelll?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-2 + -15 + -1 + 18 - (1 + -49)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 8) + -2 - (-2 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7615521?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 16*j + 46. Let u be w(-8). Let x = 16 + u. Let f be (-442)\/(-238) - -1*x\/(-14). Solve -f*y = 3*y - 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01898, 3, 3\/2 in increasing order.\nAnswer: -0.01898, 3\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 126.6 to 0 dps.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 143171 = -5*u + 143168, -254 = 62*t + 2*u for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135905.\nAnswer: 5, 7, 11, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence azaa when four letters picked without replacement from azzzzazzzzzz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 7:51 PM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -1 + 0*i + 1\/2*i**2. Let k(q) = -5*q**2. What is k(s(z))?\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1600919693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4e (base 16) to base 8.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/3*t**3 + 2\/3 + t + 0*t**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -51, -67, -85, -105?\n\"Answer: -j**2 - 13*j - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 8*k**2 - 2*k + 23. Let t be a(8). What is the first derivative of 508*p**4 - 515*p**4 + 4 + t wrt p?\nAnswer: -28*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 213018 or 213017?\nAnswer: 213018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -6*o + 44. Give z(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 + 1.2. Let g = 171.94 - 175.94. Which is the third smallest value? (a) d (b) 0.043 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q**2 + 3*q + 2. Suppose 0 = -4*r + 3*d - 28, 2*r - 5*d + 13 = -15. Let g = -82 + 85. Let z(y) = -4*y**2 + 4*y + 2. What is g*z(n) + r*a(n)?\nAnswer: 4*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1146 in 0.3, 30\/23, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*((x\/x**31*x*x)\/x)\/x)\/x*x*x**31*x)**(2\/27) assuming x is positive.\nAnswer: x**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 24.18 (b) 1\/4 (c) -2 (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28482543?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 7*u + 8. Suppose 2*k + 3*k = 4*q + 50, u*q = -3*k + 52. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 163504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*v + 5*v + 320. Does 4 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -44. Suppose 2*q = -k + 5*k - 22, k + 5*q = 0. Suppose 0 = k*c - 2*m - 27, 0*c + 18 = 2*c + m. What is the remainder when w is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*g*h - 1168*g + 86536*h wrt g?\nAnswer: -2*h - 1168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (2*sqrt(6050) + 0 - sqrt(6050)) + ((1 + sqrt(6050) + sqrt(6050))*6 - (5 + 2*sqrt(6050))) + -1)**2 + 3.\nAnswer: 1210*sqrt(2) + 732054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of 1\/720*k**6 - 5\/144*k**4 - 1\/12*k**3 - 62*k**2 + 0 - 1\/360*k**5 + 0*k. Determine i, given that p(i) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300*l**4 - 447960*l**3 + 17077143*l**2 + 31828275*l + 14486202 = 0. What is l?\nAnswer: -9\/10, 41, 1454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) - sqrt(1008)*-1)\/(sqrt(64)*-2) + 4.\nAnswer: -3*sqrt(7)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 176 divided by -4\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2838*j - 22162 = 445*j + 11340 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 6*o - 4*o. Let p = o + -12. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**4\/6 + 2*s**3\/3 + 16*s**2 = 0.\nAnswer: -8, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50916 = -2233*r - 2010*r for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 7. Let n = 7 - 5. Suppose n*x - 4 = x. What is the least common multiple of x and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3025)*-1 - -2*sqrt(75)\/sqrt(3))\/(-1*(sqrt(25)\/((sqrt(5)*-1 - sqrt(5)) + sqrt(5)) - sqrt(5))))**2.\nAnswer: 405\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**3 - 4*a**2 + 1. Let j(n) = 19*n**2 + 2*n. Let g(s) = -3*s - 11. Let b be g(-4). Let k be j(b). Suppose -14*f = -7*f - k. Calculate h(f).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3\/2 + 105*n**2\/2 - 219*n\/2 + 111\/2.\nAnswer: 3*(n - 1)**2*(n + 37)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 753*b = 748*b + 23315. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1006, -1034, -1062, -1090, -1118?\nAnswer: -1146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -19, 5, 56, -3, 2.\nAnswer: -19, -3, -2, 2, 5, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 227*f**3 + 7*f**2 - 226*f + 1140. Is 210 a factor of p(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 o when two letters picked without replacement from zxxppo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - 1. Let j(t) = -t**2 - 6*t - 2. Let h be j(o). Suppose -2*s - h*d + 20 = -0*s, 3*s - 5*d - 11 = 0. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 10:26 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(152) + sqrt(152))*-3)\/sqrt(8) + -4.\nAnswer: -9*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 + 4688*r + 134400.\nAnswer: -4*(r - 1200)*(r + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65786 and 30254?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.026 and -0.5.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/8 - -1*(-3)\/(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -22*o + 3. Suppose 0 = -20*f + 17*f + 6. Determine d(f).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.556 rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u**5 + 3*u**5 + 0*u**5 + u**5 + 3*u**5 - u**5 + (-4*u + 2*u + u)*(u**4 - 5*u**4 + u**4) - 2*u**5 + 4*u**5 - u**5 + u**5 + 0*u**2 + 0*u**2.\nAnswer: 7*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -1624*l**3 + 261*l**2 - 261. Let h(i) = 25*i**3 - 4*i**2 + 4. Determine 4*f(q) + 261*h(q).\nAnswer: 29*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011278 rounded to five dps?\nAnswer: -0.00113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t + 1. Let m be k(-1). Solve m*b + b + 20 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + n - 3)*(-7 - 11*n**3 + 7)*(-1 + 6 - 3)*(1 + 1 + 1).\nAnswer: -66*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -318 + 12 = -6*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -5*m**4 - 3*m**3 + 5*m**2 + 3. Let i(b) = 4*b**4 + 2*b**3 - 4*b**2 - 2. Let k(h) = 2*c(h) + 3*i(h). Find the third derivative of k(p) wrt p.\nAnswer: 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7574 * 14223.\nAnswer: -107725002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p - 6. Let u be o(-6). Suppose u = 2*y - 4*j + 18, -3*y + j - 7 = -j. Let n(m) = 9*m**3 - m + 1. What is n(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178 - 192 = -y. What is y rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 77677743?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqqdpqnpndqqpnq. What is prob of sequence pp?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/9050 and 97\/525.\nAnswer: 190050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*d**5 - 62*d**2 - 43640*d + 2 + 2*d**4 + 43640*d wrt d?\nAnswer: 1500*d**2 + 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -44 + 10. Let y(f) = 5*f + 14. List the prime factors of y(h).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuu. What is prob of sequence uuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i + 4*i**3 - 3*i**2 - 3 + 2 + 4. Let q(w) be the second derivative of w**5\/20 - w**4\/12 - w**3\/6 + w**2\/2 + w. Calculate k(s) - 3*q(s).\nAnswer: s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2. Let o(u) be the second derivative of 61*u**3\/3 - 13*u - 11. Calculate o(i(f)).\nAnswer: -122*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) 2\/15 (b) -5 (c) -2 (d) -2\/239 (e) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*u - 20*u - 222 = 0 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*b + 960 = s, 2*b = s - 489. Suppose u = -3*g + 357, -g - 3*g + u = -s. What is the greatest common factor of g and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s = -0*s + 2*s. Suppose -g + 5*o + 23 = s, 9*o = 7*o - 6. Is 108\/13 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 561 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 93*g - 97*g - 50*g.\nAnswer: -240*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152669 is divided by 426.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -283 = 104*v - 106*v + d, -5*d - 287 = -2*v. Calculate the remainder when 920 is divided by v.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8086339 to the power of 1\/2, to the nearest integer?\nAnswer: 2844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 874 - 1251.7653.\nAnswer: -377.7653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.1 + 4. Let v = 14.23 - 14.1. Sort b, v, -0.3 in increasing order.\nAnswer: -0.3, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - -5. Suppose 3 + k = 4*z. Let -2*d - d**2 + 2*d**3 + 0*d**2 + 2*d**4 - d**z = 0. What is d?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 4*h + 16 = 0, -22 = -2306*f + 2310*f - 5*h for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - ((1 - 1 - 13) + 1820 + -1800)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (247*m + 404*m - 231*m)*(9 + 11 - 38).\nAnswer: -7560*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*c - 6 - 258 = 0 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2013)\/(-110) - 18)\/(2 - 14\/(-8)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1295419*g*w**2 + 72869*w**2 - 38*w wrt g.\nAnswer: 1295419*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*l**3*m**4 + 2*l**3*m + 14*l**2*m**2 + 78*m wrt m?\nAnswer: 180*l**3*m**2 + 28*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r - 2*r - 2*r + 3 - 3 + r + (-46 + 33 + 86)*(-5 + 5 - 2*r) to z + o*r and give o.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 = 8*o + 14. Solve -5*u - 3*b + o = 0, b = -5*u + 5*b + 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -34*z + 163 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -3\/3773?\nAnswer: -3\/3773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + 0 - 0)*5. Let u(p) = 12*p**2 - 1. Let k be u(1). Suppose k*b - 10 = 9*b. Solve -i*v - 16 = -c, b*v + 0*c + c = -14 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2\/3, 136, 5, -1\/206 in increasing order.\nAnswer: -2\/3, -1\/206, 0.4, 5, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-1 - 2) + 4 - (-94 - -100).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3983366?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 230 - 225. Solve 0 = 19*h - 18*h + w for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -c + 23, -3*f + 2*c - 16 - 2 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 b, and 1 r when four letters picked without replacement from {d: 7, r: 8, i: 2, b: 1}.\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4 - 15464*l**3 - 59721911*l**2 + 478904816*l + 538611264.\nAnswer: -(l - 9)*(l + 1)*(l + 7736)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*d + 45*d**2 - 179 + 16 + 21*d**2 + 3*d + 74*d**2 wrt d.\nAnswer: 280*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8228 divided by -1\nAnswer: -8228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.02 (b) 87311 (c) -0.2 (d) -1 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1225 (base 7) to base 6.\nAnswer: -2044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - ((-3 - -3) + -1). Suppose 2*s + 86 = r*s. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30476555 a multiple of 691?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 2*t + 1, 5 + 2 = h - 3*t. Suppose -5*x + p - 6*p = -3240, h = p. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47900 and 380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 188, 383, 582, 785, 992, 1203, 1418?\nAnswer: 1637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 8*r - 8. Calculate m(16).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(5) - (1 + sqrt(50)\/sqrt(10))) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 269*l**3 + 80433*l**2 - 830612*l - 6180 = 0.\nAnswer: -309, -2\/269, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5 + 35 = 0. Let k = -35 + t. Suppose 3*g - 17 = 7. Solve -k*y + 7 = j + 2*j, -3*j = 4*y - g for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-61)\/(-3*(-4)\/(-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q = 5*q + 405. Let z be q\/15 - (-21)\/35. What is the third derivative of -l**2 - 2*l**2 + 6*l**2 + z*l**3 + l**2 wrt l?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 250949895.7563626 - 250950340.2. Let p = 489.44363759 + b. Let y = p - 45. Round y to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 - 3*y + 21. Suppose 0 = 3*j - 5*j - 20. Is v(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2304*s + 1151*s + 1153*s - 2*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*r - 3*r - 18*r**3 - 2*r**4 + 3*r + r**2 - 6*r in the form m*r**3 + p + g*r + c*r**2 + o*r**4 and give m.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*4*(6*-3*sqrt(832) + (-3*sqrt(832)*-1)**2) + -5.\nAnswer: -3456*sqrt(13) + 179707","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 882 divided by -294\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 3596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 490 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 781 - 388 - 2*y - 384 + 3*y. Determine m(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -16 + 6. Solve 2*n + i + y = 2*i, 3*n + 4*i = -25 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -214816.35 + 29139.\nAnswer: -185677.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -10, -252, -686?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*d + 725 = -208 - 181 - 506 for d.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.5 - 1. Let x = t - 1. Let r = 350\/11 - 32. Which is the closest to 0? (a) 0 (b) r (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1190 + -636. Suppose -5*b + q = -3*d + d, -4*b + 4*d + 448 = 0. What are the prime factors of b?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/5)\/((-3)\/(-15)). Let p(w) = w**2 - w - 6. Let t be p(3). Sort t, 1, y in increasing order.\nAnswer: y, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/842 or 1?\nAnswer: 3\/842","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26359*l + 26454*l - 3515 = 0 for l.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1827, -2735, -3631, -4515, -5387, -6247?\n\"Answer: 6*y**2 - 926*y - 907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 at most 62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 50161998.\nAnswer: -3\/16720666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-20)*-28*((-455)\/(-13))\/7\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11470 = -319*i + 25825 for i.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 17014*n**2 + 8*n - 8. Let l be g(9). Let d = 4278198 - l. What is d rounded to the nearest 100000?\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -370926, -371363, -371800, -372237, -372674?\nAnswer: -373111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -398b85 - 12?\nAnswer: -398b97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20305.9954 - 20309. Let u = 0.0046 + d. Sort 1\/6, 5, -4, u.\nAnswer: -4, u, 1\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13041688?\nAnswer: 2, 11, 148201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/4 - 2090\/(-76). Suppose -m*d = 3*d - 704. 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 n(q) = 10*q**2 - 50*q - 11. Let k be n(13). Let o = k - 388. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/12)\/(4\/(-40)). Suppose 0*z - 2415 = -s*c - 5*z, -3*z = c - 493. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**2 - 58*k - 59. Let j be l(31). Solve -j*d = -63*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from offoofoo.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*p + 63*p + 2*p**2 + 2*p**4 - 31*p - 8*p**3 to the form q*p**4 + k + l*p**2 + u*p + b*p**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5*q = -9 - 1, 6 = -2*j + 4*q. Solve -j*b + 11*b - 20 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 41*v**2 + 41*v**2 - 86*v**2)*(32 - 58 + 30)*(v + 2*v**3 - v).\nAnswer: -32*v**5 + 48*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 6*m - 2, -4*q - 2*m - 16 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 4*c**5 + 504*c**4 + 10716*c**3 - 323416*c**2 + 1763712*c - 1451520 = 0.\nAnswer: -72, 1, 7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) - (sqrt(3520) + 1*sqrt(3520)))\/sqrt(5).\nAnswer: -15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 285 divide 1942948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccfcppcffccfffc. Give prob of sequence pp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**(1\/34)*o)\/(((o*o*o*o**(-32)*o)\/o)\/o))\/(o**(-24)\/(o\/(o\/o**(-23)))) assuming o is positive.\nAnswer: o**(1157\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 1 = 9 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-11)\/22*(-2)\/5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gygyaaggayyyyyay. What is prob of sequence ay?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -3*q**4 - 12431*q**3 + 178872*q**2 + 324356*q + 133056 = 0.\nAnswer: -4158, -1, -2\/3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 8*p + 3 = -11*p, 5*l = 3*p + 3. Suppose -o + 6*o = 4*n - 727, -3*o - 9 = l. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2498a00 (base 12) to base 15.\nAnswer: -969309","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-1\/4)*v**(-3\/8)*v*((((v\/((v\/(v\/(v*v*v\/v**(-1)*v)))\/v))\/v)\/v)\/v)\/(((v\/v**(-1\/13))\/v)\/v) assuming v is positive.\nAnswer: v**(-385\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -165312, -330613, -495896, -661155, -826384?\nAnswer: -991577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d - 7 + d + 3*d**2 - 16*d**2 + 6*d**3. Let r(s) = -2*s - s**3 + 45754*s**2 + 5 + 45793*s**2 - 91538*s**2 - 3*s**3. Give 5*q(c) + 7*r(c).\nAnswer: 2*c**3 - 2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -s**8\/5880 - s**7\/980 - s**6\/420 - s**5\/420 + 4*s**3\/3 - 5*s**2. Let l(f) be the first derivative of t(f). Factor l(u).\nAnswer: -2*u*(u + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 39328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 45811788637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 45 = -20*b. Let k(z) be the second derivative of -z**5\/20 - 5*z**4\/12 + z**2 - z. What is k(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l + 23. Let n be m(-11). Is 1 >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -3) + 10 + -14 - -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 29*m**2 + 7*m - 533. Let h(b) = 5*b**2 + b + 1. Give 6*h(v) - n(v).\nAnswer: v**2 - v + 539","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4*u - 1. Let o(h) = h - 1. Calculate f(l) - o(l).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -779 - -464. Let u = m + 4097\/13. Put u, 1\/3, -4 in descending order.\nAnswer: 1\/3, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -4*v + 38, 3*k - 13 = 2*k + v. Let c = -6 + k. Let j(s) = 3*s**2 + 11*s + 11. Let f(u) = -u**2 - 4*u - 4. Give c*j(i) + 11*f(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -3, 5, -2.\nAnswer: -3, -2, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.04 - -0.04. Let g = p + 1. Let o = -47\/3 - -16. Which is the third smallest value? (a) g (b) 0 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 1)*(8 - 8 + 2*n)*(0*n + 5*n - 2*n) to the form b*n + k*n**2 + t and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*i + 28*i = 28 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15757350*f**2*o**3 + f**2*o**2 - 74*f*o**2 - 10*f*o + 7*o**2 wrt o?\nAnswer: 94544100*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 2*g - 3*t, 0 = -3*g + 2*t - 47 + 135. Let w = g + -15. Solve -6*r + 3*r - w = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 575836 - -15?\nAnswer: 575850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 + 22. Let h = 26\/3 + c. Let y = 3 + -4. Is y bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -7. Which is the closest to o? (a) 1 (b) 0.8 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14784, -14783, -14782, -14781?\nAnswer: -14780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -20 + 7595?\nAnswer: 7575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(396) - ((sqrt(396) - (sqrt(396) + sqrt(396) + 1)) + sqrt(396) + sqrt(396))**2 - sqrt(11) - (sqrt(176) + 1)).\nAnswer: -399 + 13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 8)\/(0 + -1). Let s = w - -13. Let p(m) be the second derivative of -m**3\/6 - 5*m**2\/2 - 2*m. Give p(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - 2*g + (4*g - 2*g + g)*(1 + 0 + 1) - 4*g - 11*g + 0*g to the form h*g + v and give h.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.03275 + 0.03275. Which is greater: 261\/14 or o?\nAnswer: 261\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 252 - 192. Suppose -15*d + b + 315 = 0. Solve 0 = 5*i - d for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -69*i**5 + 43*i**4 - i**3 + 1208*i - 84?\nAnswer: -1380*i**3 + 516*i**2 - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21274, 21293, 21312, 21331, 21350?\nAnswer: 21369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-6 + (28 - 21))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -258664 less than 0.008?\nAnswer: 258664.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9 + -6 + (-8 - 0). Let t = 11 + r. Let j = t + -4. Solve 2*w - j*y = -0*w - 4, 2*w - 3*y + 8 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -1. Let i(u) = -u**2 - 9*u - 2. Let m(d) = 4*f(d) + i(d). Let r be m(-8). Suppose -8*h + r = -6*h. Solve h = 3*s + 13 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11122200 - -212211102?\nAnswer: 1001111002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 4, -3, -2\/13, 6456?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 14*a**2 + 21*a - 26. Calculate the remainder when r(13) is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 8:53 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 4, 9, 16, 25, 36, 49?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1125 and 0.55.\nAnswer: -618.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -5*y**2 - 605*y - 600 = 0.\nAnswer: -120, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3 + 4 = 2*w, 5*w + 5*l = -5. Suppose -w*n = -b + 41 + 15, -2*b - n = -87. Let q = -25 + b. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -423211, -423237, -423237, -423199, -423111?\n\"Answer: 2*y**3 + y**2 - 43*y - 423171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 1 + 8. Suppose -4*a - p*a = -21. Suppose 2*s = 5*j + 14, 0*s - s + a*j = -7. Calculate the least common multiple of s and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -47, -80, -117, -152?\nAnswer: -179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*s + 10*o - 1 - 84, -3*s + 0 = -6*s - 3*o + o + 11 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 263309.3ng in grams?\nAnswer: 0.0002633093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 99 = 85 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*i + b - 305 - 296 = -635, i = -i + 5*b - 282 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + h - 12 = -0*v, 3*h = v + 6. List the prime factors of (936\/65)\/(v\/(-20)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1856243 by 6.\nAnswer: -1856243\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9013937\/6 - -1502323. What is w in 1\/6*w**2 - a*w**5 - 1\/6*w**4 + 0*w + 0 + 1\/6*w**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224967794?\nAnswer: 2, 112483897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 7*c - 4. Let u be m(4). Suppose 2*y + 2*y - u = 0. Suppose 0 = 44*h - 27*h - 170. Solve y*l - l = -h for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i = 17*i + 9*i - 624. Let k(a) be the first derivative of 0*a**3 + 0*a**2 + i + 27\/4*a**4 + 10*a. Find the first derivative of k(l) wrt l.\nAnswer: 81*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5*1\/((-5)\/(-178)). Let t = -81 - y. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1870159888?\nAnswer: 2, 29, 563, 7159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*i - 9, 0 = n - 3*i + 14 - 8. Let j(w) = -2*w + 2. Let b = 6 + -7. Let p(c) = -c**2 - c + 1. Give b*j(h) + n*p(h).\nAnswer: -3*h**2 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 27 - 107. Let j be (i\/25)\/(6\/15*1). Let d be (140\/(-50))\/(j\/(-10)). What is the greatest common divisor of d and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.845 + 0.835. Let k = -29\/4 - -7. What is the closest to k in -0.5, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 4 - -3) + -60 + -5 + -19 + 23?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1866 and 206803804?\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -4, -2, -3, -581 in increasing order.\nAnswer: -581, -4, -3, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 73.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 6:22 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 529033605?\nAnswer: 3, 5, 179, 197033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-446)\/(-18) + (-2)\/(-9) is divided by (12\/9)\/(-4)*-27?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/10 at most 24\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -330*q**2 - 12*q + 12*q - 102*q**2 to a*q + y + k*q**2 and give k.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**2 + 76119*k**4 - 14*k**3 - 3*k + 2*k - 38060*k**4 - 4 - 38057*k**4 + 2 to the form y*k**2 + z*k**3 + h*k**4 + s + q*k and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44197, 44253, 44309, 44365?\nAnswer: 44421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -c**4\/66 - 10*c**3\/33 - 25*c**2\/11 - 9*c. Factor p(r).\nAnswer: -2*(r + 5)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -357*(-35)\/(-58905)*99.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -498.9 + 475. Let y = -45408 + 45383.923. Let s = y - m. Round s to 2 decimal places.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*k = -42*k + 128. Solve 2*l + 8 - 7 = -5*w, w + 3*l = -k for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 41615, 41508, 41401, 41294?\n\"Answer: -107*m + 41722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04543, -7, -2 in increasing order.\nAnswer: -7, -2, 0.04543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) 0 (c) 17 (d) -2\/5 (e) -7.869\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 23382.779.\nAnswer: -2338.2779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4205, -4209, -4215, -4223?\n\"Answer: -j**2 - j - 4203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.1, -1, -2, -5, 5, 7 in decreasing order.\nAnswer: 7, 5, 3.1, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -589, -4, 2, -13 in ascending order.\nAnswer: -589, -13, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 63*d**4 - 5*d**3 - 5*d - 83. Let f(s) = 32*s**4 - 3*s**3 - 3*s - 42. Let h(x) = -5*f(x) + 3*u(x). Differentiate h(r) with respect to r.\nAnswer: 116*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7*3*(-12)\/18. Let u = d + -6. Is 3 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5526 - -2 - (-9 - -4). Let a = n - -10276. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30284079 + 4*w**3 - 5*w**3 - 30284036.\nAnswer: -w**3 + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(-3 + r**2 + 3 + 18*r**2 - 95 + 95 + (-2*r**2 + 1 - 1)*(3 + 0 - 4)).\nAnswer: -42*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/41346 and -119\/198.\nAnswer: 454806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 131021818 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1301*j + 3846 wrt j?\nAnswer: 1301","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/154596 and -47\/128830.\nAnswer: 772980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -4*d - 4, 329*s - 330*s + 5 = -2*d for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (6 - (5 - -6 - 0)) + 3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*q - 4*t, 3*t + 2 = -2*q + 18. Let i = 3 + q. Let o = 17 - i. Calculate the smallest common multiple of o and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4572 is divided by 191.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202832562?\nAnswer: 2, 3, 19, 151, 11783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 398*k**4 + 3*k**2 - 64 wrt k.\nAnswer: 9552*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -5*g - 8*g. Let b be 4 + (g - (4 - 10)). Suppose -u + b*u = 8185. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/48*(-4 + 4). Let u be (-4)\/10*(-4 + -1). Suppose b = -2*w - 4*d - 460, -u*d + 42 = -w - 168. What is w rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/220887 and -34\/697653?\nAnswer: 70462953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 416921 bigger than 416914?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4209 and 7?\nAnswer: 29463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5062 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((5*(sqrt(1377) + -2))**2 + -5).\nAnswer: -34520 + 900*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -72 - -49. Let k = -0.6 + -24.4. Let b = l - k. What is the nearest to -2 in b, 0.05, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 698 + 2*d**2 + 6*d - 698. Is 6 a factor of i(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -485559 - -781772. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**5\/l*l)**(-4\/25) assuming l is positive.\nAnswer: l**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 716 + -714. Suppose -11*s + 8*s = -5*n - 4483, w*n = 3*s - 4486. What is the highest common factor of s and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/2)\/((-4)\/12 + 30\/(-45)). Let s(y) = 4*y - 3. Let x be s(2). What is the closest to 0 in x, 1\/3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -11*m - 176. Give p(-36).\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/(140\/8) + 17\/5. Solve -d*r + 32 = 4*f, r + 7 - 1 = 2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 168 - 102 - 184 - -191\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 7*l**2 - 101*l - 86. Is 2 a factor of p(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -698.79 + 836.9. What is d rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from skcsskeccsess. Give prob of sequence kkc.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63080.\nAnswer: 2, 5, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.03 + -2.57. Let t = 6 - 6.6. Let f = t - u. Which is bigger: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -15857*p + 2669. Is o(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**4 + 2 - 4*n**4 - 77*n - 12*n**2 + 107*n + 10*n**2 as w*n**2 + i*n**4 + r*n + y*n**3 + d and give r.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 8*y - 23. Let l(u) = u**2 + 7*u + 22. Let q(x) = 5*j(x) + 6*l(x). Calculate the remainder when q(-4) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-6)\/k*k*k**13*k)\/(k**(-3\/5)\/k)**(1\/6) assuming k is positive.\nAnswer: k**(139\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 1:02 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -11. Let b(v) = -v**3 - 5*v**2 + 5*v - 4. Let p be b(-6). Is (-1 - 1)*w\/p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*c + 7 = 0, 5*d - 2*c - 6 = 9. Let h be d\/(2 - 3\/1). What is the second smallest value in h, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2091501?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 638 + -344. Suppose -144*b = -158*b + p. Sort -4, -5, b in decreasing order.\nAnswer: b, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10685293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 2*u - 295 = -2*u, q = 4*u + 59. Let x = 99 - q. Calculate the common denominator of -17\/4 and (82\/(-12))\/(x\/12).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1599, 16, 5, -6 in decreasing order.\nAnswer: 16, 5, 1, -6, -1599","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -3. Let s be (-2 + l + -2)\/2. Suppose -4*y - 4*h = -56, s*y - 2*h + 64 = 5*y. Does 5 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - -3 - (-2)\/1. Suppose 2*p - 64 = -s*p. Calculate the remainder when p is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a + 6*a**2 - 12*a - 11*a**2)*(2 + 0 + 0) as k + m*a**2 + r*a and give r.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -c**3\/3 - 616*c**2 - 379456*c - 3512. Find w, given that u(w) = 0.\nAnswer: -616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 489656019 and 4.\nAnswer: 1958624076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-5 + 3 + -3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7851 * -114.6\nAnswer: -899724.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 30451 + 1388?\nAnswer: 31850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.875461 rounded to 2 decimal places?\nAnswer: -32.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -8. Let d = -6 - t. Let b = -779\/4 + 195. What is the third biggest value in 1\/7, d, b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85327.\nAnswer: 11, 7757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k = p + 19*k - 22, -2*p = -5*k - 38. Solve 36 = -p*a + 18*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6\/9 + 7\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 7*o. Let b = -15 - -19. Suppose -2*l + o*w + w + 2 = 0, b = -4*l - 2*w. Solve -3*j + 2*j + 2 = l for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10.99302 - 2164129.99302. Let k = r - -2164123.800082. Let q = k - 4.8. What is q rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ebccbccbbcce. Give prob of sequence ebb.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 - 2. What is the biggest value in q, -2\/5, -0.5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.01 - -120.21. Let r = x + -108. Let k = 31 + -31. What is the biggest value in 1, r, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c\/(c*c\/c**(-1\/10)))*c\/c**(-6))\/((c*c**(-5\/6)*c)\/c**(-2\/67)) assuming c is positive.\nAnswer: c**(8948\/1005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/559 and -6\/1053529.\nAnswer: 588922711","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 15*f - 146. Determine o(9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 3:18 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) -50 (c) -1 (d) 8\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/12654 and 27\/26296.\nAnswer: 8756568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2 = -13. Let u = 6 + v. Let x(j) = j**2 + 4*j. What is the units digit of x(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 554 - 549. Which is the closest to 107? (a) -0.1 (b) 3 (c) 0 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 109 + 47074?\nAnswer: 47180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (10 + -9 - 9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107603 = -1709*b - 21508 - 106731 for b.\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away -1951.7?\nAnswer: 1951.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*t - 675 = 39*t for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 1, -3, -1066, -1, 3 in decreasing order.\nAnswer: 13, 3, 1, -1, -3, -1066","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s. Let w = -7 + 1. What is the remainder when c(w) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 20 = 3*i, -23 = 3*x + 97*i - 101*i for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -16062 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, s: 2, p: 3, a: 6}. Give prob of sequence shps.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**2. Suppose -x = x - 22. Let q(j) = -3*j + 0*j - 4*j + x*j. Give c(q(h)).\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -109083.786 take away 1?\nAnswer: -109084.786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/(-154) - 270\/(-55). Solve -5*x = d + 3 - 11, w*d - 12 = 3*x for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1 + sqrt(13))**2 - (sqrt(13) - (sqrt(13) + -5 + sqrt(208)))**2.\nAnswer: -216 + 44*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -18, -8, 14?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -19) + -24 + 41 - 89\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2\/((-2)\/3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -8632 - 8964 - 2*v**2 + 165*v + 18046 - 2*v**3 - 35*v = 0.\nAnswer: -5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12982968 or -12982969?\nAnswer: -12982969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l**2 + l. Let f(m) = 21*m**2 - 196*m - 1. Give f(i) + 6*w(i).\nAnswer: 3*i**2 - 190*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*h + 319319 = 7*h. Suppose -y + 2*r - r = -3657, 3*y + 5*r = h. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2642*x + 7. Let a(t) = 7925*t + 19. Calculate 4*a(r) - 11*p(r).\nAnswer: 2638*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 56, 29, -50, -199, -436?\nAnswer: -779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 c, and 1 p when four letters picked without replacement from pakucuauaucucc?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 n when four letters picked without replacement from {n: 1, l: 3, w: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13880 and 40?\nAnswer: 13880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42.948 + 0.052. Let h = -2128 - -2169. Let i = r - h. Put -1\/12, 0.4, i, -5 in decreasing order.\nAnswer: i, 0.4, -1\/12, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and (-5)\/(-3)*864\/80?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyq when three letters picked without replacement from {q: 1, s: 1, x: 1, y: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -34614?\nAnswer: -34614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**3 - 223*j + 0 + 107*j + 110*j + 0.\nAnswer: 3*j**3 - 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 359\/3, -4, 0.05, 2, 0.4, 0.03 in descending order.\nAnswer: 359\/3, 2, 0.4, 0.05, 0.03, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 93626.5249 to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 3*u + m, -3*m - 13 = u. Is 0.13 at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) - sqrt(160))*3)\/(sqrt(45)\/sqrt(144)) + (-2*sqrt(1152))**2*-4.\nAnswer: -18432 - 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15 - 41 + 2)*(-2*n + 0*n + 0*n + 3*n + 2*n - 4*n + (-1 - 3 + 6)*(-n + 2*n + 0*n)) - 58*n + 195 - 195 - 49*n to the form h*n + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1439.74 and 82386.\nAnswer: 80946.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2794 is divided by 299.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2828 + -4448. Is i <= -1622?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 7. Suppose -5*s - 5*z = -20, -h*s + 23 = -0*z - 3*z. Suppose s*t - 3*x + 15 = 0, 0*x = -2*t + 3*x - 15. Solve -10 = 2*o - t for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -119.6134838 + 120.61347. Let i = -4 - -3. Let b = i + m. Round b to six dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 4 - 7)*(6 + 4*v - 6) - 29 + 28 - 7*v + v)*(2*v - 2*v - 2*v**2) to the form f*v**2 + l + a*v**3 + z*v and give a.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-1*sqrt(65) - sqrt(65)) + -5*(sqrt(65) + sqrt(65)*-1 + sqrt(65)))\/((sqrt(245) + sqrt(245) + sqrt(245)*-1*-4)*2).\nAnswer: -3*sqrt(13)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 7*h**2 + 3*h + 3. Is n(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a century in years?\nAnswer: 2150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, 3\/2, -14187, 2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 265608.\nAnswer: 2, 3, 7, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.13664 millennia in centuries?\nAnswer: 201.3664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, m: 3, e: 4, a: 1, c: 1, j: 1}. What is prob of picking 1 j and 3 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 737\/12 (b) 4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116746 is divided by 1032?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -18*v - 1013. Determine g(-58).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -97*k - 28. Let p be t(-16). Suppose -p = -60*y + 56*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 2*a - 14 + 5, -5*a = 3*j + 6. Suppose -4*q - q = -2*d - 33, -3*d = -4*q + 32. Is j bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5937.97 + 5873. Round h to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppipyypepppvpppppp. What is prob of sequence yey?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a + 189582 + 22561 = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 500?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (195 - 110 + 211 + 95 + 41)*(15 + 2*x**2 + 5*x**2 - 18*x**2) in the form f*x**2 + r*x + w and give f.\nAnswer: -4752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3819 = -75*a - 39*a - 4434 + 1299 for a.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2 = b. Let t be ((-6)\/7)\/(2\/(-14)). Let q(l) = 2*l - 8. Let v be q(t). Put -2, v, b in descending order.\nAnswer: v, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.4 + 6.7. Let p = -8.05 + h. What is the third smallest value in -1\/10, 0.2, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-20))\/(891\/138600*40).\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1327779 - -3333246. Let v = t - 2005468.000077. Let s = 1 + v. What is s rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2, q - 2*q + 30 = -5*c. Let n = q - 33. What is the nearest to -0.1 in -5, n, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 2108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/24*(-18)\/(-4). Let p = -2 - 4. Let x be (-2)\/3 - 28\/p. Which is the closest to -1? (a) x (b) q (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v - 24 + 37 = -32 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, 14, -0.038, 17.1, -3\/4 in increasing order.\nAnswer: -3\/4, -0.06, -0.038, 14, 17.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 198, -0.5, -1 in increasing order.\nAnswer: -1, -0.5, 0.1, 198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*o, -12 = -4*v + 2*o + 6. Let q(z) = z - z**v - 64 + 68 - 9*z. Give q(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-18)*3)\/(355\/(-3408))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*k + 20 = -8*x, 5*x + 2*k = -25. Suppose 7*t + 12 = 3*t. Which is bigger: x or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 3*b + 0 + (0*b - 7*b + 6*b)*(-4 + 2 - 4) to the form d*b + g and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 79872 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -60*d**3 + 1165*d**2 + 7110*d + 5760. Let j(v) = -5*v**3 + 97*v**2 + 592*v + 480. Let c(l) = 2*g(l) - 25*j(l). Factor c(y).\nAnswer: 5*(y - 24)*(y + 1)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 3:53 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 84 - 341 = 0. Let l(y) = -y**2 - 51*y - 378. Let h be l(-7). Let b = f + h. Solve 16 = 4*x, 3*j - 5*x = -b - 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**3 + 2*o**2 + 8*o - 2. Let n(t) = -t**3 + t**2 - 1. Let j(v) = -2*n(v) + r(v). What is the second derivative of j(p) wrt p?\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 290*c**2 + 0 - 1153*c**2 + 29 + 282*c**2 + 300*c**2 + 286*c**2.\nAnswer: 5*c**2 + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 9, o: 7, v: 3}. Give prob of sequence oww.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 2*o - 2. Let x be k(2). Let r be 24\/6 + (-1)\/2*x. Which is the closest to 0.3? (a) 1\/15 (b) r (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-3) + (-176)\/(-33). Solve -r - 3 = s, r + s + h = -3*s for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2137730?\nAnswer: 2, 5, 7, 30539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - j**2 + j - 1. Let n = 18973 - 18972. Let w(m) = -14*m**3 - 6*m**2 + 8*m - 8. Determine n*w(h) - 8*g(h).\nAnswer: -22*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 4 - 2 - 2 - 3*l to the form i + g*l and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 24887, 25120, 25509, 26054, 26755, 27612?\n\"Answer: 78*a**2 - a + 24810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -658 - -679. Suppose -495 = -b*h + 12*h. What is the highest common divisor of h and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*s + s**3 + 29 - 11 - 21 - 24*s to the form y*s**3 + a + z*s + o*s**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 12 = 3*p. Let m = -0.81 - -0.81. Let v = 15 + -10. Which is the third biggest value? (a) m (b) p (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31104 = -4*u + 4*p, -u + 201*p + 7791 = 203*p. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2560.76 + 2561. Let a = -61 + 59.76. Let u = a + l. Which is smaller: u or 1.8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-102)\/14 + (5967\/(-33813) - 348\/(-238))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 3*t. Suppose -3*g + 0 + 6 = t. Suppose -u - 2*u + 42 = 0. What is the highest common divisor of u and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -5*h + 3*o + 19, 3*h - 15 = 3*o. Suppose 0 = -h*w - 3*w + 15. Factor 4*k**4 + k**4 + k**w - 4*k**4.\nAnswer: k**3*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, i: 2}. What is prob of picking 2 i?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 + 25. Factor c**2 + c + h*c**2 + 2*c**3 + c**3 - 1.\nAnswer: (c + 1)**2*(3*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 452 - 952. Let v = 1983\/4 + z. Let m = 319955\/18 + -17770. Find the common denominator of v and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2467 divided by -117?\nAnswer: -2467\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(76))\/sqrt(4) + (sqrt(76) + -5*(sqrt(76) - sqrt(76)*2) - sqrt(76))**2.\nAnswer: 12*sqrt(19) + 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -u**2\/2 - 451*u. Let r(z) = 17*z - 68. What is 68*b(t) - r(t)?\nAnswer: -17*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1650, 1624, 1598?\nAnswer: 1572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-378)\/(-135) - ((-9)\/(-5) + -2). Factor 24 + h*v**2 + 18*v + 11 - 11.\nAnswer: 3*(v + 2)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-105)\/20)\/(1\/4). Let t = i + 6. Let y(z) = -10*z. Let w(n) = n. Let j(u) = t*w(u) - y(u). Let a(s) = -3*s**2. Give a(j(p)).\nAnswer: -75*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*b - 283 + 574 - 291.\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -169, -1912, 3 in ascending order.\nAnswer: -1912, -169, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d - 1. Let u(m) = -2 + 1 + m + m. Let i(t) = -6*g(t) + 13*u(t). Let w(j) = -j - 2. Calculate 2*i(k) - 7*w(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.9929 nanograms to milligrams.\nAnswer: 0.0000459929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t + 4. Let z(v) = 91*v + 312. Calculate -78*s(g) + z(g).\nAnswer: 13*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/76 and 139\/648.\nAnswer: 12312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 2*n - 864*k + 869*k + 49 = 0, -2*n - 2*k = 34 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21807 = 4*y - 21831 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1.1656602 months?\nAnswer: 0.009713835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 663*i - 236 = -6203 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 3*s - 1 - 6, 1 = 5*r - s. Find the common denominator of (-11611)\/2142 + r\/7 and 41\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5057\/(-2334)*(0 - (1 - -1))?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -2. Suppose -2*v + 2*g = -16, 5*v + 5*g = v - x. Solve c + 4*a - v = 0, -3*c = 2*c - 2*a - 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17465 - -31307. Is g a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(-3)*12\/(-10). Suppose y - d = -y. Factor b - y*b**2 + 5*b**2 - 2*b**2.\nAnswer: b*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9244 + 9247. Which is the fourth biggest value? (a) 2 (b) -11\/6 (c) 2\/21 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-7))\/(18\/(-63)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 966*k - 1146.\nAnswer: 966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iyiaaiaaa. What is prob of sequence ai?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, e: 2, m: 1, d: 1}. Give prob of picking 1 m, 1 c, and 1 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of k**4\/12 - k**3\/2 + 125*k**2 + 2*k - 9. Suppose 0 = -6*c + 4*c + 14. What is g(c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -80371 + 80373. Factor 8*c + 32\/3 + f*c**2 + 1\/6*c**3.\nAnswer: (c + 4)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 381 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 533*l + 781 = 271*l + 273*l. Let q(j) = j - 2. Let a be q(3). Calculate the remainder when l is divided by -5*(-1 - a) + 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 510287\/9433160 - 54\/9745. Find the common denominator of -95\/264 and x.\nAnswer: 2904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*d + 59. Let l = d - -37. Suppose l*q - q + 24 = 0. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 9*r - 6. Let l be (-1)\/3 + (-184)\/24. Let v be t(l). Suppose y - 5*c - 13 = 0, 0*c = -c - v. Solve -p = -4*p + y for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1082367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c + 51. Determine p(21).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19923 to the power of 1\/2, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.005*-3.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -1 (c) -12 (d) -2 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-330)\/22 + (1 - 1). Let s be (33\/h + 1)\/((-42)\/(-20)). Let v = 269 - 292. What is the closest to -0.1 in -1\/2, v, s?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1520\/384)\/(-19))\/((-5)\/9)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from xxxxxmxxxm?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2503 (base 8) in base 13?\nAnswer: -7c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (5 - 3 - 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -7564, 8\/5, 5\/3, -4 in increasing order.\nAnswer: -7564, -4, 8\/5, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 4*k**3 - 361668*k**2 + 2169900*k - 3254796 = 0?\nAnswer: 3, 90411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8911188 to the power of 1\/3, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a - 6 = -9*a. Calculate the least common multiple of 84 and a.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -6*d - 9*d - 12 - 23*d + 0*d. Suppose -v = -z + 9, 3 = -3*v - 3. Let p be f(z). Round p to the nearest ten.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-287)\/(-42) + -7 - (-69)\/90. Which is the nearest to 1? (a) -3 (b) -0.3 (c) -5 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 r when four letters picked without replacement from {r: 1, e: 1, x: 4, d: 11, q: 1, o: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 23 - (-22 - -18)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 844\/10 - 20\/50. Suppose 8*q - t = 116. Find the second derivative of 10*z**4 + 9*z**4 + q*z + 0*z**4 + 14*z wrt z.\nAnswer: 228*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of 0*c**4 - 13\/42*c**7 - 7\/6*c**3 + 0*c**6 + 0*c**2 + 7*c + 0*c**5 + 0. What is the second derivative of m(k) wrt k?\nAnswer: -260*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 29 - o + 39 + 4*o - 92.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 828*l**2 + 275*l - 1 wrt l?\nAnswer: 1656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 176 and 7815984?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*q = 14, 4*v - q - 7 = -0*v. Which is smaller: v or -0.25?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12.59487 or 211?\nAnswer: -12.59487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1607?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 15, 57*z = 4*u + 61*z for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 511207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 368*h**2 + 1532*h + 2. Let z(w) = -2*w. Determine n(z(d)).\nAnswer: 1472*d**2 - 3064*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*b - 450 = 38*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0897 and -4549.\nAnswer: -408.0453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*v + 46 = 69*v. What is the closest to 0.1 in v, -2\/25, -3?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5295603 is divided by 2201?\nAnswer: 2198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of t**3\/2 + 7*t**2\/2 - 2*t - 8. Let a(u) be the first derivative of j(u). Is a(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 1.9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of 77\/60*a**5 + 0*a**4 - 52\/105*a**7 + 0 + 0*a + 0*a**3 + 178*a**2 + 0*a**6. Find the third derivative of d(h) wrt h.\nAnswer: -2496*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 + -13. Calculate the highest common divisor of 192 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12*((-3)\/27)\/1)\/(1586\/(-68991))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 946382 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l. Let c(a) = -3*a + 3561. Calculate d(c(s)).\nAnswer: 6*s - 7122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2 + 11*l - 19*l + 6 + 9*l. Give w(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 5382130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 4*f + 4. Let k be c(-5). Suppose k*g = 27 + 27. Let q be 25\/3 - 2\/(-3). Which is greater: g or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 118108240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4*v**2 - 271*v - 4370. Determine z(-41).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -38452176 divided by -21?\nAnswer: 1831056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 944792 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3\/89 (b) 0.4 (c) 0.5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 9) + 27 + -105 + 32 + 34?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 171 - -179. Suppose -9*x = -2*x - m. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 80818 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 2 (b) -21 (c) -16\/57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -588198359*a**3 + 11*a - 1905068?\nAnswer: -3529190154*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*-2 + -4)*4 - (2 + sqrt(108) + -3).\nAnswer: -14*sqrt(3) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 84345354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.015513069 to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -300273 by 991.\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**3 + 2*h**2 - 3*h + 80. What is the smallest common multiple of s(0) and 152?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/7 and 19\/124080.\nAnswer: 868560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*m - 6. Find the third derivative of -3*n**2 + 0*n**3 + 0*n**2 - 3*n**m + 0*n**3 wrt n.\nAnswer: -360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -439313, -3514642, -11861977, -28117322, -54916681, -94896058, -150691457, -224938882?\nAnswer: -320274337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 212571258 to the power of 1\/4, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1080\/468 - 8\/26.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433 a factor of 126550679?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 + 73. Calculate the remainder when l 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) 8 (b) 33 (c) -1 (d) -13 (e) -51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3 (b) -2209 (c) -3.682\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 6. Let x be 1\/(j\/84) + 1. Suppose 2*h - x = -4*z - h, -4*z = 5*h - 53. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/2 - h**2\/8 + 13*h\/8 + 5\/4.\nAnswer: -(h - 2)*(h + 1)*(4*h + 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q**2. Let d(x) = 78*x**2 - 2. Let o(m) = -15836*m**2 + 407. Let j(r) = 407*d(r) + 2*o(r). Determine g(j(s)).\nAnswer: 27380*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -251, 175, 5 in increasing order.\nAnswer: -251, -22, 5, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 11*f + 24. Let w be j(-12). Let z(r) = -9*r**2 - 9*r + 1. Let v(o) = 22*o**2 + 22*o - 2. Calculate w*z(h) + 5*v(h).\nAnswer: 2*h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 84602.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 21819024 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/43)*(f*f**(-1\/25))\/f*f)\/(f*f*f*f**24*f)**(15\/7) assuming f is positive.\nAnswer: f**(-63443\/1075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 6 = 9*x. Let d(t) be the third derivative of -t**5\/60 - t**4\/4 - t**3\/3 + 2*t**2. Give d(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -59*g**3 - 118*g**2 + 6*g + 15. Let v be r(-2). Solve 21\/4*s**2 - 3\/2*s**5 - 5\/4*s**4 + 13\/2*s**v - 2*s - 1 = 0 for s.\nAnswer: -2, -1, -1\/3, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-1))\/((-2)\/8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 (base 16) in base 8?\nAnswer: 1411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13614739 and 884.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0691 from -1421243954.\nAnswer: -1421243954.0691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, q: 1, u: 4, y: 2, g: 4}. Give prob of picking 2 g and 2 a.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57595 divided by 5.\nAnswer: -11519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-12))\/((-25)\/(-500)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -213411, -426762, -640043, -853254, -1066395, -1279466?\n\"Answer: 35*k**2 - 213456*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1572 and 3133872?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -138*n**5 + 348*n**5 - 4 + 258*n**5 + 10*n**5 + 442*n**5 - 14*n wrt n.\nAnswer: 18400*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -3 - (4 - (-3 + 7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u**2. Let h(k) = -4*k**2 + 601*k + 2. Let p(n) = n**2 + n - 1. Let i(l) = h(l) + 2*p(l). Give i(c(z)).\nAnswer: -32*z**4 + 2412*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 z, and 1 j when three letters picked without replacement from {z: 1, j: 2, g: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1328 + -1244. Calculate the smallest common multiple of 300 and k.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - v = v - 13, 3*m - 6 = -3*v. Suppose 0 = u - m*u. Suppose 0 = -f - 0*f - 1. Sort u, -2, f.\nAnswer: -2, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22599997 is divided by 70.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/3 - 2\/(-3). Suppose 2*u + y*u = 18. Suppose 5*h = u + 26. Which is bigger: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*u = 8*u - 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -79 + 137. Let z = f - 50. Calculate the greatest common factor of z and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 5*b - 25 = 3*b, -3*b + 39 = -5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h\/(h**8\/h))))\/((h\/(h**(1\/5)*h))\/h))**(-2\/11) assuming h is positive.\nAnswer: h**(48\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) + 0 + sqrt(275)*-2 + sqrt(11))**2 + -3 + -1.\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1458 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ve when two letters picked without replacement from {w: 1, e: 1, g: 5, y: 1, v: 4}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ys when two letters picked without replacement from skbkkbkkkkbybkbk?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 1037*u + 5861. Let l be m(-5). Which is the biggest value? (a) -0.1 (b) l (c) 5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 36455.\nAnswer: 3\/36455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -9*u**2 - 11*u + 13. Let b(a) = 4*a**2 + 5*a - 6. Let y(n) = 7*b(n) + 3*x(n). Let g = -150 + 146. What is y(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26618 - -26617. Sort 5, 6, 3, 2, x in decreasing order.\nAnswer: 6, 5, 3, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313288 is divided by 78219?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 2210264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/10*(-12180)\/392*21\/(-9)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58422252.\nAnswer: 2, 3, 7, 695503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d - 3*d + 98 = 0. Suppose 12*w = -7 + d. Suppose 2*y - 9*y + 98 = w. What is the highest common divisor of 98 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**4\/11 + 98*p**3\/11 + 6034*p**2\/11 - 114018*p\/11 - 130032 = 0.\nAnswer: -43, -9, 24, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c - 9. Let v(l) = -l**2 - l. Let r(y) = 5*y**2 + 3*y - 2. Let t(h) = r(h) + 3*v(h). Let a be t(-2). List the prime factors of i(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 8*u**2 + 21*u - 2. Let k be y(-1). Let l(c) = -c + 6. Determine l(k).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 9*z - 6. Suppose 5*v + 27 + 3 = 0. Let f(b) = 3*b + 186. Calculate the least common multiple of f(-20) and k(v).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (86 - 26) + -15.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**5 + 7*j**4 + 9*j**3 - 29*j**2 + 23*j - 6 = 0. Calculate j.\nAnswer: -2, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -21. Suppose 2*f = -2*o + 10, 2*o + 3*f - 11 = -w*o. Let u(l) = l**3 - l**2 - l. Let b(m) = 5*m**3 - 4*m**2 - 4*m. What is o*u(v) - b(v)?\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 6*r**3 + 11*r**2 - 6*r + 11. Let y(f) = -2*f + 134*f**2 + 3*f - 85*f**2 - f**3 - 51*f**2 + 0*f**3 - 2. Determine -2*l(q) - 11*y(q).\nAnswer: -q**3 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1183, 1182, 1181, 1180, 1179?\nAnswer: 1178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -51 - 8*s**2 + 0*s + 6*s - 2*s - s + 49. Calculate u(2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4620)\/880 + 532\/16?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -235\/8 in -2\/63, -1\/3, -1, 0.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5425*n + 19*n**3 + 5425*n.\nAnswer: 19*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 0*g = -9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + (0 + sqrt(72))**2).\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -81*w**5 + 339*w**4 - 222*w**3 - 294*w**2 + 303*w - 45 = 0.\nAnswer: -1, 5\/27, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, s: 1, h: 8, t: 5, v: 2}. What is prob of picking 1 s and 1 t?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -10*g**2 + 39*g - 39. Let a(i) = i**2 - 4*i - 1. Let d(k) = 22*a(k) + 2*s(k). Let d(y) = 0. Calculate y.\nAnswer: -5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42\/(-14)*1\/(-12)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/2*4152\/(-19722)?\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -25555 (base 7) in base 13?\nAnswer: -3133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 4\/23, -0.5, -93, 49, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and -0.36.\nAnswer: -2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8854351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(640*f - 686 - 322 - 644*f).\nAnswer: 8*f + 2016","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3180 in -0.2, 0, 3\/2, -2, -3\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.296 less than -6600?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1706 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1704 = 646*t - 2531 - 1919 - 4828 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8822, -8814, -8806?\nAnswer: -8798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/804 and 87\/32.\nAnswer: 6432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*z + 30 = -3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/4 of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**1\/a)**(-19))**(-10)*a*a**(4\/5)*(a*a*a**(2\/17))\/a*a*(a*a*a\/(a*a\/(a**5\/a)))\/(a*a\/a**(-3\/7)*a) assuming a is positive.\nAnswer: a**(3266\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -256, -250, -240, -226, -208, -186?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -207644*g + 223412?\nAnswer: -207644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -18d0c4?\nAnswer: 18d0c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 157667, 157642, 157593, 157514, 157399, 157242?\n\"Answer: -b**3 - 6*b**2 + 157674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -470.00960763 and 1.077.\nAnswer: -468.93260763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 116281, 465156, 1046619, 1860670, 2907309?\n\"Answer: 116294*w**2 - 7*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478702 is divided by 335?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from khzzzkzzthznzv. Give prob of picking 1 v and 1 t.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7035234929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4024.8 - -4023. Let z = 0.73 - 0.35. Let m = z - r. Round m to one dp.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f + 3*x + 4, -5*x - 4 = -425*f + 424*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2426 - -2435. Let z(r) be the second derivative of 0*r**5 + 0*r**4 + 12*r + 0*r**3 - s*r**2 + 0 - 4\/5*r**6. What is the derivative of z(u) wrt u?\nAnswer: -96*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 2*w - 6 = 0, -2*d - 42*w = -2*d - 189*w + 327 - 33 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -126\/64805269 - -199624076866930\/4082731947. Let s = 48896 - t. Calculate the common denominator of 17\/70 and s.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -11*x + 43. Let h be l(4). Let w be h\/((4 - 1 - 4)\/3). Solve 5*v + 23 = o, 0 = v - o + w*o - 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*n - 2. Suppose -5*o + 30 + 45 = -n*d, -4*d = 0. Suppose 24 = 3*p - o. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -37*s**3 + 11*s**2. Let w(t) = -18*t**3 + 5*t**2. Let r(g) = -6*l(g) + 13*w(g). What is the third derivative of r(z) wrt z?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -802\/159 + 23789\/5035. Let x = n + -16\/57. What is the second smallest value in x, 4\/7, 1.3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*h**3 + 73720*h**2 - 29482*h + 2948.\nAnswer: -2*(h - 1474)*(5*h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/2288489 or -10\/9?\nAnswer: 4\/2288489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9831410 is divided by 3277135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 14*r + 17*r - 5*r + 12*r. What are the prime factors of x(5)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*x - 51. Let f = x - -18. What is the remainder when 15 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/12*(-339)\/(-791).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 198 and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 1:54 PM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -49*y**5\/6 + 37*y**4\/24 - 2*y**3\/3 - 2*y**2 - 314*y. What is the second derivative of q(g) wrt g?\nAnswer: -980","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/5 and -103\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3\/5, -3, 3 in descending order.\nAnswer: 3, 2, -3\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5342 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 3*i - 5 + (2 - 3 + 3)*(0 - 3*i + 0) + 86*i + 86*i - 168*i as j + h*i and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -60 - -a72?\nAnswer: a12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 4*p**2 + 94*p - 642. Give m(0).\nAnswer: -642","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 5217.567 hours?\nAnswer: 217.398625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 + 94*l - 5*l**2 + 4*l**2 + 63 + 42 - 131*l.\nAnswer: -2*l**2 - 37*l + 105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 39981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -21. Let j(w) = -w. Calculate -5*j(h) + y(h).\nAnswer: 5*h - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 31. Let z = m + 12. Suppose 4*w + 40 = v, 4*w + z = v + w. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - 508\/(-4)*1. Let m = s - 119. Calculate the least common multiple of 154 and m.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 - 258*w - 4896.\nAnswer: 3*(w - 102)*(w + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -u**5 + u**3 - 53437*u**2 + 46686*u wrt u?\nAnswer: -20*u**3 + 6*u - 106874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - w. Let b = -1122.8 - -1117.8. Sort -3, b, -2\/9, w in increasing order.\nAnswer: b, -3, -2\/9, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_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: Round 52.55022 to the nearest integer.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + 18. Let p = -17 + i. Find the second derivative of 3*a - 2*a - p*a**3 + 4*a**3 - 13*a wrt a.\nAnswer: -42*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 4. Put 7, h, -2\/3, 0.2 in ascending order.\nAnswer: -2\/3, 0.2, h, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 6*q**2 - 6*q + 7. Let h be d(-4). Let m be (-51)\/3*-1 + h. Solve -5*z - 4*u = -2*z - 16, 0 = -4*z + 4*u - m for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -2 + (-2 - 0) - (-9 - -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2612518334\/695 + 3759020. Let b = v - 2\/139. Sort b, -9, 0.4 in increasing order.\nAnswer: -9, 0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, t: 2, v: 3}. Give prob of picking 2 g.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -225 - -1479. Let q be (-6)\/(-14) - n\/133. Let g(l) = l**3 + 8*l**2 - 14*l - 10. What are the prime factors of g(q)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/sqrt(4)*-3 - (sqrt(57)\/sqrt(3))**2*2) + 5.\nAnswer: -33 - 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -4*t - 2*o - 3*o, -o + 6 = -3*t. Let g(f) = f + 16. Let p be g(-12). Let q = p + t. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/105*30*(169\/1352)\/((-3)\/28)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 6*b**2. Let w(o) = 147970*o. What is j(w(n))?\nAnswer: 131370725400*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 + 345?\nAnswer: 34d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 2*l = 20. Let h(s) = -2*s**3 + s**2 - s - 1. Let b be h(-1). Suppose d = 4*t + t - b, 2*t - l = -d. What is the remainder when 2 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 12:40 AM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 27a?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 7:05 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 2 = 3*u. Suppose 0 = 4*z - u*z - 12. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -t**7\/21 + t**6\/15 + 3*t**5\/10 - t**4\/6 - 2*t**3\/3 - 16*t. Suppose u(d) = 0. What is d?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 11:32 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 306\/(-1462)*((-1369)\/(-111))\/(-37)?\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -253411252 (base 7) in base 8?\nAnswer: -75233343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 449219, 898439, 1347659, 1796879, 2246099, 2695319?\nAnswer: 3144539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {h: 3, d: 9}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j + 3*q - 0 + 2, -q = 3*j + 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of d**4\/12 - 13*d. Let p(g) = 10*g**2. Give l(p(s)).\nAnswer: 100*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5651 = -2*d, c + 5627 = 2*d - 2*c. Suppose -h = 4*k - 3756, 3*k - 4*h = -5*h + d. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35501, -35498, -35493, -35486, -35477?\nAnswer: -35466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 2, z: 1, m: 1, j: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y**3 + 6*y**2 - 994*y + 1981*y - 987*y - 7 - 2*y**4 + 2*y**3 in the form f*y**4 + x*y**3 + v*y + s*y**2 + a and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**3 - 6*b**2 + 5*b - 9. Let m be 36\/10 - (-6)\/15. What is the remainder when o(m) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37 (base 8) to base 10.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, v: 1, p: 1, a: 2, i: 1, b: 1}. What is prob of picking 1 i, 1 p, and 1 a?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 54*i**2 - 3*i + 177. Let y be s(54). Sort y, -1, -2.\nAnswer: -2, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - k = -10, -k - 4 = -5*k for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1660911040 to the nearest 100000.\nAnswer: 1660900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260810503.\nAnswer: 59, 4420517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/67, -2\/11, 1\/7, 3 in descending order.\nAnswer: 3, 1\/7, 2\/67, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 3 (c) 3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (18*(-13)\/(-468))\/((-14)\/3*2\/8)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hm when two letters picked without replacement from mhhjmhhj.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 12*o**2 - 12*o - 18. Let d be y(13). Let v(c) = -4*c + 4. Let a(z) be the first derivative of 5*z + 2 - 5\/2*z**2. What is d*a(t) + 6*v(t)?\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.160929 to 2 decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-5\/16)*h*h*h)\/(h**21\/h*h) assuming h is positive.\nAnswer: h**(-277\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q - 2. Let k be b(0). Let g(l) = 2*l**2 - 2*l + 2. Let v(a) = -6*a**2 + 6*a - 7. Let z = -528 - -521. What is k*v(m) + z*g(m)?\nAnswer: -2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4306464 and 77913.\nAnswer: 47371104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 r when two letters picked without replacement from dddiidddiiiiiridii?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 56528633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 170314871.300594 and -3?\nAnswer: 170314874.300594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 1 = -5*t + 4, 0 = -2*k + t - 3. Let l = 0.8 - -0.1. Put k, l, 2\/13 in decreasing order.\nAnswer: l, 2\/13, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003934 to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - w. Let q be n(2). Suppose 2*y = 5*k - 3*y - 35, -2*k + y = -15. Let v = k - 1. Solve 0 = c + q, 3*j + 0*c - v = -c for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 2*g - 3 + (-2*g + g + 3*g)*(-4 + 1 + 1) + (1 - 1 + 7)*(-g + 1 - 1).\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 1:10 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.13 in 0.3, 4.38, -4\/5, -88, -2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2)*8*(-7)\/1078*-11.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*o**3 + 10*o**3 - 16*o**3.\nAnswer: -74*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -446 + -1.991894611\nAnswer: -447.991894611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 157188799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 546*n**3 - n**2 - n. Let k be c(-1). Let f be (-20)\/(32\/(-8)) + 2185\/4. Let a = k + f. What is the common denominator of a and -59\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 6 = 10. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -4*z**4 - 68*z**3 - 312*z**2 - 560*z - 352 = 0?\nAnswer: -11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y**2 + 1538*y - 25604. Give m(-529).\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 44*i**3 + 32*i**2 - 32*i + 32. Let x(s) = 4*s**3 + 3*s**2 - 3*s + 3. Let h be (-9)\/162 - 440\/(-144). Calculate h*a(o) - 32*x(o).\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3, 24, 65, 132, 231, 368?\n\"Answer: k**3 + 4*k**2 + 2*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*w + 57*w**2 + 19*w**2 - 74*w**2 + 20.\nAnswer: 2*w**2 - 19*w + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1288881 to the nearest integer?\nAnswer: 1135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -1\/123 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3545 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 686 + -682. Let k(s) = f*s**2 - 2*s**3 + s**2 + 0*s**3 + 2*s**2 + s**3 - 14 - 6*s. Determine k(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*o + 54*o + o**2 + 14.\nAnswer: o**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6263205 is divided by 184211?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 4:53 PM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and 22993.\nAnswer: 22992.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -41. List the prime factors of c.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 3:06 PM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.559+214569344\nAnswer: 214569343.441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116749624 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -2*q - 4*f, 2*q + 33 = -5*f. Let d(i) = -5*i**2 - 6*i + 0 - 9 - i**3 + 7. Determine d(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87 and 81287.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/23914470 and -79\/590.\nAnswer: 23914470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*y**5 - 3346*y**3 + 11*y**2 + 546*y?\nAnswer: -420*y**2 - 20076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1019 = -3*w + 346. Let b = w + -453. Solve b*g - 3 + 11 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 417468*b - 163447.\nAnswer: 417468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) - (sqrt(405)*2 + sqrt(405) + sqrt(405) - sqrt(405))) + sqrt(45))\/sqrt(9).\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 446099 - 86584. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1600905741.\nAnswer: 3, 211, 2529077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -173*b**6 + 113*b**2 wrt b.\nAnswer: -20760*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -6501\/1301 at least -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-28 - (-3 + 0 + -7 - -13 - 17)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-7)\/m**0)\/(m**1*m)**44*((m\/(m*m**(-5)))\/(m**(-10)*m))**(-4\/29) assuming m is positive.\nAnswer: m**(-2811\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 d when two letters picked without replacement from {d: 11, r: 2, h: 2}.\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6201, -6204, -6209, -6216?\n\"Answer: -g**2 - 6200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -0.4, 285 in ascending order.\nAnswer: -0.4, 6, 285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.01016 + 0.31016. What is the closest to 0 in 1\/16, 2\/11, -0.1, i?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 2*t**5\/5 - 27*t**4\/2 + 409*t + 773. What is the derivative of q(p) wrt p?\nAnswer: 8*p**3 - 162*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -614, -4849, -16342, -38723, -75622, -130669, -207494, -309727?\n\"Answer: -605*p**3 + p**2 - 3*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -206 - -349. Suppose 0*t + 4*t - 5*k - i = 0, -3*t + 5*k = -101. Is 14 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53649*n = 53660*n - 165 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f - 6*f - 7*f - 5.\nAnswer: -14*f - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (8 + (1 - -3))) + -5 + 6?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54526*v = 56800*v - 4548 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1, 0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 3*u - 265, 106 = 2*f - 0*u - 2*u. List the prime factors of f.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*b + 56 = 4*b, 240 = 4*g + 4*b. Calculate the highest common divisor of 512 and g.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3850)\/11220*2\/((-10)\/(-7)) and -53\/7.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -328 - -10170\/31. Let s = -177 - -176. Is r at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/((-4)\/15))\/(126\/(-420)). What is the tens digit of 1160\/m*(-105)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 594*x + 9 - 19 to w*x + v and give w.\nAnswer: 594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 924?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.3 (b) -0.5 (c) 0 (d) -6\/79 (e) 3 (f) -2\/5 (g) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 7*d**2 - 10 - 2 + 100*d - d**3 - 120*d - 25*d**2. Let v be z(-17). Calculate the highest common divisor of 26 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.08, 5.\nAnswer: -5, -0.08, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 586*v**2 + 8*v. Let h(l) = -79*l. Calculate h(q(a)).\nAnswer: -46294*a**2 - 632*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15300 + 15292. Sort -3, 0, c, -4\/43, -0.1.\nAnswer: c, -3, -0.1, -4\/43, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) -1\/3 (c) -2 (d) 60\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -1797852?\nAnswer: -898926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/123 (b) 2 (c) -0.7 (d) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 15652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -476, -3773, -12732, -30185, -58964, -101901, -161828?\nAnswer: -241577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 846717.4s to microseconds.\nAnswer: 846717400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -191239*p**2 + 5*p - 2. Let q(o) = -5*o. Calculate q(m(s)).\nAnswer: 956195*s**2 - 25*s + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*k - 5*t, -6*k + t - 11 = -4*t. Which is bigger: k or 10\/39?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - c**4 - 12*c - 6*c + 20*c in the form z*c + k*c**2 + q*c**3 + w + y*c**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -1033254246?\nAnswer: 1033254246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2\/3 - 38494*v\/15 - 770.\nAnswer: 2*(v - 1925)*(10*v + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -10*y + 5. Let s = -3.9311 + -0.0689. What is the nearest to -0.1 in s, -1, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.605386 centuries to months.\nAnswer: 4326.4632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 1:54 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 37689823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 41*f**2 + 366*f - 486. Calculate d(-10).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/35 - (-17)\/7. Solve -16 = -o - r*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216*f + 418*f = 212*f - 160. Suppose 5*p = i - 30, 2 = -p - 2. What is the remainder when f is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 7*z + 2. Let p(i) = i**2 + 8*i + 0*i**2 + 5 + 1 - 7. Let s(a) = 2*p(a) + 3*w(a). Give s(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 7645551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/(-16) + 4\/(-2). Sort r, -3, 1 in descending order.\nAnswer: 1, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-20)*f**37)\/(f*f\/((f*(f\/(f\/f**(-5\/9)))\/f)\/f)*f\/f**5))**(4\/7) assuming f is positive.\nAnswer: f**(628\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*c + 7*s + 8 = -112, c - 12 = 2*s + 2*s for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6052 + 780. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3082*b - 16992*b - 8769*b + 1289*b.\nAnswer: -21390*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*z + 36*z = -3*d + 59, -d + 37 = 2*z - 0*z + 2*d for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26 * -5537.\nAnswer: -143962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.5, -0.5 in descending order.\nAnswer: 0.5, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*p - 5*a - 29 = -40*p, -3*a = -5*p + 5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208446 is divided by 285.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) - (3 + (sqrt(1584) - sqrt(1584)*-3)))**2 + 4 + 3.\nAnswer: 216*sqrt(11) + 14272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3, -1\/4, -29, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -0.154?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 836 = 2*y - 4*r - 100, 4*y - 1768 = -5*r. Which is greater: 457 or y?\nAnswer: 457","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1957*k*q**2 - 134*k - 1378*q**3 + 263861 wrt q.\nAnswer: 3914*k*q - 4134*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d + 7*d**2 - 3*d - 15.\nAnswer: 7*d**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 8 - 4. Suppose y + 37 = q - 14, -y - z*q = 54. Let k = -16 - y. Does 18 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - -1 - (-55 + 63)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 5*l = -108. Is 7 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -256472 + 55670?\nAnswer: -200802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 6*u - 25 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15442948 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + -2)*14\/4. Suppose -4*l + s*l = 60. What is the remainder when 58 is divided by l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 7*s**2 + 7*s - 4. Let j be 6\/(2 + (-33)\/12). Let m be h(j). Solve -m*i - 8 = 4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 826614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 145.4 + -148.7. Which is smaller: d or -1\/11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 4*o + 26, 0 = 4*u + u - 5*o - 30. Suppose -9*d = -6*d. Let m be ((-20)\/(-5) - 3)*d. Solve m*y = -y - u for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 727314 and 42?\nAnswer: 727314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/7031827 and -137\/3835542?\nAnswer: 42190962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.06 and -0.2?\nAnswer: -0.412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (26 + -2)\/(3\/22). Let o = -49 + v. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -202997*h**3 - 149373*h**3 - 1295719*h**3.\nAnswer: -1648089*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20878 + 68081?\nAnswer: 100070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 + 36 = n. Determine w so that 6\/17*w**2 - 4\/17*w + 0*w**3 - 2\/17*w**n + 0 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 12:34 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from yabyjgajgaaaajjgyyga?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 20 = f - 5*w, 12 = 3*f + 2*w. Suppose -g = -2*g - f. Let h be 4\/8 + (-2)\/g. Which is smaller: h or -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63676, -63585, -63494, -63403, -63312?\nAnswer: -63221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -744 + 747. Put 5, x, 4, -0.12 in decreasing order.\nAnswer: 5, 4, x, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**4\/4 + 5*v**3\/4 - v**2 = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2*d = -20, 15 + 16 = 5*c + d. Suppose -2*k + 17 = -k. Calculate the remainder when k is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3071 + -2889. Suppose 5*m - 78 = 2*m. What is the greatest common divisor of q and m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -99131598 - -99131569.99999982. Let i = 6.72 - -21.28. Let c = j + i. Round c to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*w - 1317 + 2887 + 3726 = -3119 for w.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or 9131523?\nAnswer: 9131523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(4\/5)*w**1)\/(w\/(w*w**(3\/7)))**(3\/11))**(-20))**(-31) assuming w is positive.\nAnswer: w**(91512\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5189 is divided by 400?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g + 4*g**2 + 2*g**2 - 5*g**2. Let u be h(6). Let r be (-114)\/(-27) - u\/27. Solve r + 1 = x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -200011 (base 3) to base 10\nAnswer: -490","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 35 - (-5 + 17 + -6). Suppose 16 = 2*t + 6. Suppose -t*y + 78 = -3*b, a = 3*y + 5*b - 11. What is the greatest common factor of 75 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/2)\/20*-19*(-2436)\/1102.\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 27*l - 4*l + 5887*l**2 - 5888*l**2.\nAnswer: -l**2 - 31*l + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k - 22*k**2 + 23*k**2 - 2*k. Let g(t) be the second derivative of -t**3\/3 - t. Give g(l(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -14*s. Let d = -29 + 27. Let z(k) = 14*k. Let g(h) = d*i(h) - 3*z(h). Let t(l) = -l. Determine g(t(j)).\nAnswer: 14*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*b - 15*b + 6*b + (0 + 1 - 3)*((0 - 1 + 3)*(0*b - 2*b + 0*b) + 4*b - 5*b + 2*b) to n*b + c and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -598*m + 4*l - 11 = -297*m - 302*m, -6*l = -5*m - 49 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4460.137 + 4463. Let i = v - 2.75. Let c = i - 0.074. Round c to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -454235 (base 6) to base 16\nAnswer: -968f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -645, -1294, -1955, -2634, -3337, -4070, -4839, -5650?\n\"Answer: -h**3 - 642*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 19*t**2 - t - 23. What is a(-19)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j + 3*q - 2, q - 6 = -2*q for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - t - 5. Suppose 57 = 4*d + 65. Let u be z(d). What is the units digit of (-90)\/(-75) - 1\/u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55316*b - 5943 = -55599*b for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 - 10 - 9*u + 230 - 282*u - 230 - u - 2*u + 4*u + 0*u - u + 0*u + (3 + 3 - 5)*(4*u - 2*u + 0*u).\nAnswer: -289*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**2 - 8*h - 3. Let w be c(-6). Let d be ((-8)\/4)\/(2\/w). Suppose -2*p + 5*u = 1, u + d = p + 4*u. Is p a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14632108 - 1037*o + 14632108)*(3*o**2 + 3*o**2 - 4*o**2).\nAnswer: -2074*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**4\/3 - 2164*i**3 + 4322*i**2 + 32452*i\/3 - 12976 = 0.\nAnswer: -2, 1, 3, 3244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*i**3 + 39*i - 45*i - 3*i**3 - 3*i**3 - 4.\nAnswer: 2*(i - 2)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -480, -492, -504, -516?\nAnswer: -528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4.376 from 43985.\nAnswer: 43980.624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**3 + 0*k**3 - 1237896 + 4*k**3.\nAnswer: 5*k**3 - 1237896","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -3\/2. What is the third biggest value in 1, -1\/2, x?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -13, -1.\nAnswer: -13, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 19 + 21 = 0. Find the common denominator of -13 + 14 - (-34)\/16 and -4 - c\/((-176)\/364).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18.64*0.51\nAnswer: -9.5064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/55 (b) 218\/15 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - (6 + (20 - 26))) + -16 + -40.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 + 138. Suppose -113*i = -p*i - 4440. List the prime factors of i.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 5*u**2 - 2*u + 4. Give t(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1293 and -3.\nAnswer: 1290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16880317?\nAnswer: 16880317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -8*d + 1\/6*d**3 - 2*d**2 - 5. Suppose -4*b + 48 = 4*x, 2*x - 4*b - 19 + 1 = 0. Calculate z(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 147051*o**3 - 49*o**2 + o - 244972185 with respect to o.\nAnswer: 441153*o**2 - 98*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -22*q**6 + q**5 + q**4 + q**3. Let c(b) = -b**5 - b**4 - b**3 - b**2. Let w(a) = c(a) + y(a). Find the third derivative of w(l) wrt l.\nAnswer: -2640*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*t**2 + 1110*t + 1105 = 0. What is t?\nAnswer: -221, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 + 73. Let i = o + -33. What is the third derivative of f**i + 9*f**5 - 4*f**2 + f**5 wrt f?\nAnswer: 660*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 0, 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - i - 4 = 1, -4*q + 11 = i. Let w be ((-9)\/(-6))\/((-315)\/(-156) - q). Suppose -88 = -b - 9. Which is smaller: b or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 11*y = 16. Suppose -5*k - 14 = y, 0 = 2*m + 2*k - 13440. Suppose 0*f + 3*f = 4*w + m, 4*f = 5*w + 8965. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -178*g**5 - 382*g**2 + 43*g**5 + 1370*g**2 - 251*g**5 wrt g?\nAnswer: -23160*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-193094\nAnswer: 965470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/913 and 57\/4497770?\nAnswer: 49475470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 8 = -2*w, -10*w = -11*w + 4*v - 13 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 13655.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of 5*q**4\/12 - q**2. Let r(p) = 11*p**2 + 4*p. Let z(h) = 35*h**2 + 18*h. Let b(i) = -9*r(i) + 2*z(i). What is b(g(l))?\nAnswer: -2900*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than 0.02302?\nAnswer: 2.02302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34297 is divided by 166?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, f: 5}. What is prob of picking 1 c and 1 f?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5\/3, -2 in decreasing order.\nAnswer: 5\/3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*56\/(-30) + 28\/(-7) + -3. What is the nearest to 0 in 4\/7, 0.4, -9, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -4*n + 5*n - o, 4*n + 2*o - 64 = 0. Suppose m = u - 3*m - n, -5*u = -2*m - 21. Solve u = -2*l - 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 10*b + 12. Let f(q) = q**2 + 9*q + 11. Let s(x) = -3*f(x) + 2*w(x). Determine s(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 7 = l + 35, -3*f = -3*l - 39. Let x = l + 4. Let u = 6 + x. Solve o = u*n + 2*n - 12, -5*n + 24 = o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01303 to 3 decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*h + 4258 - 3335 = 0 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - (-21)\/3) + -3 + 1. Suppose w*a - 5*a = -958. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**2 + 15*d + 6. Give t(-4).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55769 or 59381?\nAnswer: 55769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 11 = -3*b, 4*q + 37 = 9*q + 3*b. Suppose -r + x = -q, r - 6*x = -x. Let i = 14 - r. Solve -l - 25 = i*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5205)\/1041*24\/20?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 23*c**2 + 141*c + 10. Calculate k(28).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13695 divided by 4565?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 871973 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -355*o**2 + 26581*o\/3 + 1100\/3 = 0.\nAnswer: -44\/1065, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30745 by 33.\nAnswer: -2795\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*3\/9)\/((-1)\/1*23)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 4 = -3*i, -3*x + 4*i - 5 = -2. Let t = 3 - x. Solve r = 2*r - 4*u + 20, -t*r - 2*u = -10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46407 is divided by 938.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -5*r + 152, -4*r + 152 = 3*k + k. What is the greatest common divisor of k and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 17*l**2 - l + 12. Is 24 a factor of m(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a micrometer in nanometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -3\/32*u**4 + 3\/40*u**5 + 0*u + 10 - 1\/8*u**3 + 3\/16*u**2. Determine w, given that g(w) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**4 - 2*x**2 + 2*x**2)*((-1 - 3 + 3)*(-4*x + 2*x + 4*x) - x + x + x + 2*x + 1 - 1 + (0*x - x + 4*x)*(-4 + 0 + 0)).\nAnswer: 33*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -2. Let j be q + 1 - 0\/(-1). Suppose u - 5 = -j*r, -3*u = 2*u + 2*r - 25. Solve -2*d + u*d = -12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -95*v**2 + 373*v - 702. Give u(2).\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 32.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49 - 42. Let g(p) = -p**3 + 7*p**2 + 4*p - 9. Let t be g(j). What is the third derivative of -5*v**2 + 48*v**3 - 19*v**3 + 2*v - t*v**3 + v**2 wrt v?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -2*o**2 - 2*o + 1. What are the prime factors of r(-4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 6*h + 0*h)*(-3 + 3 - 2*h) + 0*h + 0*h - h**2.\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00045 rounded to five decimal places?\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000141292 to five decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 - 79) + 14 - -25?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6\/13 (b) 6.3 (c) -22\/9 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -436 + 0?\nAnswer: -436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3200)*1 + (sqrt(2592) - (sqrt(2592) + -1 - sqrt(2592))) + sqrt(32))**2.\nAnswer: 160*sqrt(2) + 12801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -14. Let y(f) = f**2 - 6*f + 5. Let c be y(s). Suppose -i + c = -o - 2, 5*i + 2*o = 42. What is the lowest common multiple of 14 and i?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -478\/5*o**2 - 28322\/5 + 28798\/5*o + 2\/5*o**3 = 0. Calculate o.\nAnswer: 1, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3 + 4*k**3 - 6 + 3 + 11*k**2. Suppose -f = -2*f + 11. Let u(l) = 2*l**3 + 6*l**2. Determine f*u(c) - 6*t(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l*p*y**2 + 2*l*y**3 - 304*l*y**2 - 256*p*y**3 wrt p.\nAnswer: l*y**2 - 256*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -f**5\/60 - f**4\/3 - 4*f**3\/3 + 6*f**2. Give j(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22) - 2*sqrt(1078))*-3)\/(4*sqrt(128)*1).\nAnswer: 39*sqrt(11)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145 = -4*c + 165 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12581813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12 + 447417?\nAnswer: 447405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/51, 159, -2\/13 in descending order.\nAnswer: 159, -7\/51, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 1 - (-20 + 13) - 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4)\/a*a\/(a\/(a*a**3\/a)*a)*a\/(a**(-4\/3)\/a*a)*a**4)\/(((a*a**(1\/3)\/a*a)\/a)**(-30)*a**(2\/9)*a*a**(2\/7)*a) assuming a is positive.\nAnswer: a**(682\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 366463*w + 160*w**2 - 366463*w.\nAnswer: 160*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 greater than or equal to -1\/138?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*u + 68 = -28 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 6*v**2 + v + 6. Let a be s(-6). Suppose -2*i + 17 - 5 = a. Let b = i + -3. Sort b, -2, 8 in decreasing order.\nAnswer: 8, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1127 - 1129. Sort b, 3, -7 in descending order.\nAnswer: 3, b, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2\/9, -2 in decreasing order.\nAnswer: 0.2, -2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(-5 + 2 + 1)*(18 + 2*f - 3*f - 13).\nAnswer: -2*f + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1*(8 - 3) + 9\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/6)\/((-10)\/(-6)). Let y = -4.1637 + 1.1637. Put g, y, 6\/7, 0.5 in decreasing order.\nAnswer: 6\/7, 0.5, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 309 - 281. Suppose -76*d = -83*d + h. What is the remainder when 55 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7117 is divided by 355?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-4 + 2) - -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -3 (c) 0.01561 (d) -0.157\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 5 - 11. Let f = -0.04 + 0.04. Which is the smallest value? (a) -3 (b) f (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3365474235.\nAnswer: 3, 5, 31, 7237579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 11*s + 16. Suppose -10*o - 96 = -2*o. Let q be n(o). What is the greatest common divisor of 10 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 8, i: 3}. Give prob of picking 2 i and 2 a.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 17*w - 1. Let u be j(1). Let f = 5 + 19. What is the greatest common factor of u and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*a**4 - 11*a**4 - 6*a**2 + 5*a**2 + (3 - 1 + 0)*(0*a**4 + a**4 + 0*a**4) as u*a + d*a**3 + r*a**4 + n + f*a**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -514256, -2056939, -4628054, -8227595, -12855556?\n\"Answer: a**3 - 514222*a**2 - 24*a - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1068 (b) -82\/5 (c) -698\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 6*r + 11. What are the prime factors of y(-10)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 500, 537, 572, 605, 636, 665?\nAnswer: 692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1248 = -181*k + 60*k + 280 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -6*w**3 - 14*w**2 + 10*w. What is the first derivative of m(l) wrt l?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3697, -14789, -33275, -59155?\n\"Answer: -3697*w**2 - w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-244)\/8*13\/273. Let g = h - -16\/7. Find c, given that 1\/6*c**2 + g*c - 1 = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -5, 9, 29, 55, 87?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -31201 (base 4) in base 3?\nAnswer: -1012001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2. Let y(w) = 3*w + 44. Suppose 2*r + 45 = -5*n - 11, r = 2. Let j be y(n). Let m(k) = -9*k**2 + 4*k**2 + 3*k**2 + j*k**2. Give m(t(a)).\nAnswer: 6*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -5*g**3 + 14*g**2 + 96*g + 535. List the prime factors of z(-10).\nAnswer: 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 789487.\nAnswer: 109, 7243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - z - 10. Solve -5*v = 2*p + 23, -3*p - 2*v - 5 = z*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bwbcbckbcccicbbbc. Give prob of sequence cbb.\nAnswer: 49\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 242169156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21760 = -341*k + 26875 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.081528738 to five dps.\nAnswer: 0.08153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17968028*k*q + 15*k - 529343 with respect to q.\nAnswer: -17968028*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 41, 88, 169, 296, 481, 736?\nAnswer: 1073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4074 is divided by 31.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6*72.\nAnswer: 43.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 + -12. Let i be ((-45)\/y)\/((-6)\/32). Suppose 5*z - 2*z - i = 0. Does 4 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 213.013 - 0.013. Let j = 212 - l. Let w = -0.5 + 0.8. Sort 1.3, w, j, -2\/11 in decreasing order.\nAnswer: 1.3, w, -2\/11, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 7*q - 55 = 0. What is the common denominator of -7 and (q\/(-132))\/(2\/404)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2 = -0. Let y(k) = -5*k**a + 4*k**2 + 0*k**2. Let t(h) = -6*h - 14. Let v(b) = 2*b + 5. Let n(z) = -5*t(z) - 14*v(z). What is n(y(q))?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 4*j - 137, 2*c = 4*j + 316 - 26. Does 17 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4382625 = -5*k, 20*l - 19*l - 3*k = 876517. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 3*z + 30912, 2*z = -2*j - j + 30892. Round j to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 7*k**3 - k**2 + 1. Let f = 4032 + -4028. Calculate the smallest common multiple of w(1) and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1177545338?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y + 1. Let f = 2 + 0. Let a = 128 + -122. Let r(w) = -f - 2 - 1 + a. Determine 2*r(g) - t(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/1045 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5729)\/(-3370)*(-4305)\/714.\nAnswer: -41\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.353 and 0.091484.\nAnswer: -0.032293852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 140 - 101. Let b(y) = -y**3 - 7*y**2 - y + 3. What is the remainder when t is divided by b(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 587.7 - 749.7. Let t = 0.3 - 0.2. Is u >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-7\/3)\/t)\/(t*t*t\/((t\/(t*t**(8\/3)))\/t)))\/(t**(-16\/7)\/(t*t**(1\/7))))**43 assuming t is positive.\nAnswer: t**(-1978\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -132 + 210. List the prime factors of v.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 54*o. Let g(x) = 15*x**2. What is s(g(i))?\nAnswer: 810*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 120 - 94. Let c = 12 - 6. What is the remainder when y is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 258? (a) -210 (b) 2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 10. Let z be (-11)\/(-6) + -1 + -1. What is the second smallest value in 0, v, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 3*l - 8 = 128, -p + 51*l - 50*l + 40 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**2 - 15*q + 296. Let s(b) = -b**2 - 6*b + 99. Give 8*s(l) - 3*u(l).\nAnswer: -2*l**2 - 3*l - 96","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-25)\/12 + 2)*-21*32\/224. Determine n so that -3\/4*n**2 - 3\/2*n**5 - 5\/4*n + 1\/2 + 11\/4*n**3 + p*n**4 = 0.\nAnswer: -1, 1\/2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -234 (b) -5 (c) 3 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and -70900880?\nAnswer: 2127026.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*m**2 + 8*m - 16*m**2 - 3*m.\nAnswer: 5*m*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -1b?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40703 + 53935 = 2014*d - 4752*d - 34048 for d.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 4*b**2 + 2*b - 13. Let x be n(-5). Suppose o = q + 7, 3*o = x*q - 0*q + 18. Solve 0 = o*d + 4 - 24 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 189569, 379163, 568785, 758435, 948113?\nAnswer: 1137819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 1:19 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8750786*a + 1235 = 8750863*a - 151 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5385 - 3515 + 165 - 1581 + 1837)*(-3*n + 0*n - n) to t + o*n and give o.\nAnswer: 33916","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 264*i**2 + 2202*i**2 + 3547 - 3191 + 2*i wrt i?\nAnswer: 4932","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3\/4, 5, -30.63, -2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (3 - (-5 - 0 - -2) - 0).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(1\/4))**(-8\/13)*(h\/(h\/h**(1\/7)))\/(h**(-2\/23)*h))**(-24))**42 assuming h is positive.\nAnswer: h**(278496\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 3. Let v be m(0). Let q(c) = c**3 + 2*c**2 - 3*c + 4. Give q(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 724134 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*d + 3*r, 2*d = 3*r - 131 + 124. Let n(g) = g**2 + 2*g - 3. Let k(z) = 3 - 3 + z - 1. Determine d*n(x) + 5*k(x).\nAnswer: -2*x**2 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/4*(-1)\/(9\/12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 2:36 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -3 - 1 - (0 - 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.9 - 3. Let h = 0 + y. Which is the nearest to h? (a) -1\/6 (b) -0.4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 491, -7, 9 in decreasing order.\nAnswer: 491, 9, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**2 + 4*o - 4. Let x(b) = -2*b**2 + 5*b - 5. Let n(r) = -5*g(r) + 4*x(r). Let a(k) = -k. Let u(c) = -4*c. Let p(l) = -a(l) + u(l). Give p(n(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*g - 3*i - 29 - 12, 715 = g - 2*i + 682 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -37085*m*p - 99509*m wrt p?\nAnswer: -37085*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -486 (base 15) to base 4\nAnswer: -100002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 336 divide 158730768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 10*h**3 + 8*h**2 - 9*h**3 + 2 - 6 + 3*h. Calculate x(-7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/16*6\/3\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 168, 586, 1254, 2172?\n\"Answer: 125*j**2 + 43*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -14. Suppose 4*d - 1 + 25 = w. Let b be (8\/(-16))\/(1\/d). Solve 2*y + b*i = 12, -2*i + 1 - 12 = -5*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 44. Suppose 47 = 3*r + c. Calculate the least common multiple of 5 and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 0.97, -479 in descending order.\nAnswer: 0.97, -16, -479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164523 is divided by 1362.\nAnswer: 1083","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 266\/(-114)*(-6)\/(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2298263821 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 29264\/(-472) + 23 + 0?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2*sqrt(2057).\nAnswer: -22*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 38\/41?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 170 + -173. Sort l, -2, 2, -29 in ascending order.\nAnswer: -29, l, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7621827 milliseconds in microseconds?\nAnswer: 762.1827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/5 + -3\/10. Let j = 4.8 + 0.2. Which is the second smallest value? (a) r (b) -2\/15 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of x**5\/15 - x**4\/6 - x**3\/9 + x**2\/3 - 83. Suppose i(z) = 0. Calculate z.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 357 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 255 divide 16931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/((-50)\/20*18\/15). List the prime factors of 1384\/3*(-81)\/(-54) - s.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 5*t**2 + 2*t + 5. Let j be n(4). Let u be ((-1)\/(-3))\/(j\/(-27)). Suppose -104 = -u*o - o. What is the greatest common factor of o and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001849 rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 442218 + -3.\nAnswer: 442215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 4*f + 1 - 4*f)*(-2*f + 0*f - 3*f)*(6 - 3 - 1).\nAnswer: 10*f**3 - 10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -13*i - 33. Let a be j(-4). What is the greatest common divisor of 95 and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 5*m**2 + 5*m + 5. Let r(f) = 26*f**2 + 29*f + 24. Let v(s) = 16*l(s) - 3*r(s). What is v(7)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -22, -26, -24, -16?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*u + 110 = -63*u + 41 for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94, 6, 106, 206?\nAnswer: 306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3955 - -3975. What is the remainder when 35 is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*g + 2974 = 3349 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4795 - 4795. Suppose 54\/7*x**2 - 54\/7*x**4 + w + 30\/7*x**3 - 6*x**5 + 12\/7*x = 0. Calculate x.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1893 a factor of 151440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i**2 - 5*i. Let k(g) be the first derivative of -59*g**2 - 9813. Calculate k(l(p)).\nAnswer: -354*p**2 + 590*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -69235306.65 rounded to the nearest ten thousand?\nAnswer: -69240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 114*h**2 + 455*h + 4. Let k be c(-4). Let a(j) be the first derivative of 0*j**2 - 19*j + k + 19\/3*j**3. Differentiate a(t) wrt t.\nAnswer: 38*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.16 + 2.16. Which is the fourth biggest value? (a) m (b) -3 (c) 6 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -134*s + 129722 + 496862. Which is smaller: s or 4677?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 73128 - 8556265\/117. Let u = c - -35\/13. Let j be (-6)\/(-35) - 12\/(-30). What is the second biggest value in j, 0.2, 0.07, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*t = 61*y + 225*t - 34, 4*y + 0*t = -5*t + 226 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/44*(-31350)\/(-300).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7324535, -7324492, -7324447, -7324400, -7324351, -7324300, -7324247?\nAnswer: -7324192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -89 + 94. Suppose -l + 3*g + 1 = -18, 0 = 4*l + 5*g + 9. Suppose l*b = 4*m + 4, -2*b - 5*m = -0*m + 5. Solve b = 4*j + 5*n - 18, 6 = r*j + n - 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(56\/32 + -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -213, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44 - -49. Suppose -3*r = -a + 4*a + 18, 0 = v*a - 2*r - 5. Let c(y) = -7*y - 3. Let f be c(a). Solve f*n - 5 + 1 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3787, 7506, 11225, 14944, 18663, 22382?\nAnswer: 26101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g - 3. What is r(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56456687 to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4118.055ml in litres?\nAnswer: 4.118055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + u + 4. Let r(l) = -l**2 - 11*l - 12. Let w be r(-6). Solve c + 4*d = 9, u*d - w = 3*c - d for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 90 + 85. Let h = -34470 + 34714. What is the remainder when h is divided by r?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*v + 2)*(-8 + 47 - 7)*(v**3 + 3*v**3 + v**3) + (0*v + v + 0*v)*(0*v**3 + 0*v**3 - 2*v**3) - 3*v**4 + 4*v**4 - 2*v**4.\nAnswer: 317*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/2)*((r**3\/r)\/r)\/r*r\/r**4*(r\/(r*r**(-2\/5)))\/r*r)\/((r**(-1))**41)**44 assuming r is positive.\nAnswer: r**(18019\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -89, -233, -855.\nAnswer: -855, -233, -89, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 31251679 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 37015 from 15.\nAnswer: -37000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 165, 189, 221, 261, 309?\n\"Answer: 4*n**2 + 12*n + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 316847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -686682 (base 9) to base 5.\nAnswer: -101133331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, k: 6}. Give prob of picking 3 s and 1 k.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 27*p + 63. Give d(26).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1129, -2252, -3371, -4480, -5573, -6644, -7687, -8696?\nAnswer: -9665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 480828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2114 (base 5) in base 10?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 40 = 4*s + 10, 5*p + 10 = 0. Let a = 7 + -3. Calculate the least common multiple of a and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/(-1287)*(-9)\/3?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of 0*d**4 + 0 - 1\/3*d**3 + 0*d - 33*d**2 + 11\/60*d**5 + 0*d**6 - 5\/14*d**7. Find the third derivative of h(w) wrt w.\nAnswer: -1800*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*w - 3*o + 37, 2*w - 23 = -3*o. Suppose -t + 6 + 8 = 4*y, 2*t = -2*y + w. Solve -t*p = p + 15, 5*a = -5*p - 15 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53507.9139 + 54015.913266. Let s = k + -508. Round s to 5 decimal places.\nAnswer: -0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**4 + u**4 - 4*u**4 + (3 + 0 - 1)*(u**4 + 0*u**4 + 0*u**4) + 31*u**3 - 31*u**3 - 6*u**4 + (4 - 4 + 7*u**4)*(-5 + 4 + 0) - 2*u**3 + 2*u**3 - 5*u**4.\nAnswer: -15*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 130809*j*t**2 + j*t + 20260*j + 2*t**2 - 7 wrt t?\nAnswer: 261618*j*t + j + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -152, -193, -232, -269, -304, -337, -368?\n\"Answer: j**2 - 44*j - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -11501768.\nAnswer: -11501768, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4478184437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2136 = 81. Let f = 6 - 10. Is h\/7 - f\/14 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*i + 3. Solve 0 = m + h + i, -3*m + 0*h - 11 = -h for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 * -25903.\nAnswer: -362642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 41947513703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 114392, 452290, 1015446, 1803854, 2817508, 4056402, 5520530, 7209886?\n\"Answer: -n**3 + 112635*n**2 + 1758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4 (b) 126 (c) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 2\/9 (b) -0.2078 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5869329533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*v + 348 = -214, 0 = p - 4*v - 137. Calculate the remainder when p is divided by 33.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5*z = 3320, -654 = -2*f + 5*z + 674. Suppose 9*h - 2*c + f = 11*h, 4*h - 1334 = -c. What are the prime factors of h?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6359 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 21+-340\nAnswer: -319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**3 - 13*x**2 - 18*x + 2. Let q be h(-10). What is the greatest common divisor of q and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*m - m + 24*w - 20*w - 456, 4*m = -11*w + 1 + 174 for m.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1428*v**3 + 2*v**2 + 9*v - 53613 with respect to v.\nAnswer: 4284*v**2 + 4*v + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a + 7*a - 3. Suppose -a*f + 14 = -f. Let b(p) = 7*p - 6*p - f + 4. Determine b(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-84)*35*30\/540*204.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17755 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1805729917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -5*i. Let o(x) = -10*x**2 - 5*x - 5. Let w(q) = -9*q**2 - 4*q - 4. Let n(m) = -4*o(m) + 5*w(m). Give z(n(u)).\nAnswer: 25*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = 8*w + 21. Let d be (9\/12 - 1)\/(w\/(-36)). Let x = 0.2 - 0.3. Which is the closest to d? (a) x (b) -3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t**3 + 1 - 1)*(3 - 4 + 7).\nAnswer: -36*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/(-6) - (-18)\/27. Suppose 1 = 4*b - l*b. Sort 3, b, -3.\nAnswer: -3, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -40742, -81540, -122338, -163136, -203934, -244732?\n\"Answer: -40798*w + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 9, y: 10}. What is prob of picking 2 y and 2 u?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/27 in 1\/4, -2\/105, -0.07, -2.5?\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23.025 - 23. Let g = 5.025 - j. Put -0.1, -5, g in increasing order.\nAnswer: -5, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6 + 11\/((-33)\/(-2)) - -7)*3. Solve -2*h - 22 = 4*c, -4*h - 3*c - 14 = -o*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 273 and 1848?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 4*s - 8. Let d be z(6). Suppose d*k = -0*h + 3*h - 3, -21 = -2*k - 3*h. Let n = 2.8 + -3. Which is the nearest to n? (a) 2\/11 (b) k (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jbsbjibbibbsibbss. Give prob of picking 2 j.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11871007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 20*q - 33. Let u be o(18). Suppose -z = -4*g + 2, 4*z - 4*g = -u + 19. Which is the third biggest value? (a) -1\/5 (b) 4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 37014?\nAnswer: 407154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16)*-2 + sqrt(4))\/(sqrt(6)\/(sqrt(15)\/sqrt(5))))**2 + (sqrt(384)\/(sqrt(144)\/sqrt(3)))**2.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 5*t**2 + 7*t + 10. Let m be r(6). Let o be 15 + -9 - 88\/m. Factor a**3 - 1\/2*a**2 + 0 + o*a**4 - a.\nAnswer: a*(a - 1)*(a + 1)*(a + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -100 - -699\/7. What is the third biggest value in 0.5, r, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = m. Let w = 0.13 + 0.17. What is the closest to -1 in 4, w, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 12:47 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s - 3. Let r(z) = -z. Let v(g) = b(g) - 5*r(g). Let k(q) be the first derivative of q**3 - q**2\/2 - q + 1. Let d be k(-1). What is v(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0719 rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 1:29 AM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*o + 84*o + 18*o)*(-3 - 3 + 2)*(6 - 5 - 6).\nAnswer: 2480*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -0.026, 3 in descending order.\nAnswer: 10, 3, -0.026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/2238821837?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -25 + 66 + -25.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tec when three letters picked without replacement from cteet?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.11838 * 2.\nAnswer: -0.23676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3 - l**2 + 9*l - 3 + l**2 + l**2. Calculate the remainder when g(-10) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of f**4 + 36921*f**3 + 3*f**2 + 2206676 wrt f?\nAnswer: 4*f**3 + 110763*f**2 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 477219798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61948?\nAnswer: 2, 17, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -74*b*p*v**2 - 439*b*v**2 + 4*p*v**2 with respect to p.\nAnswer: -74*b*v**2 + 4*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341623 is divided by 31056?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 6*x**2 - 5*x - 2. Calculate g(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-408)\/16)\/(3\/4))\/((-624)\/(-936)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2010066?\nAnswer: 2, 3, 41, 8171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n - 14 = -12*n - 4*c, -17 = -5*n - 4*c. Sort 81, n, 4 in increasing order.\nAnswer: n, 4, 81","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005818 rounded to six dps?\nAnswer: -0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -47*z**3 - 138 + 31*z**4 + 107*z**4 + 47*z**3 wrt z.\nAnswer: 552*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2336594683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, m: 2, h: 1, a: 2}. What is prob of picking 2 m and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/(-22))\/((-448)\/352))\/((-24)\/48)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 10 - 3*w**3 + 19 - 3*w**2 + 0*w + 9 - 33 + w. Is h(-4) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h, 1 x, and 1 z when four letters picked without replacement from {z: 8, h: 2, k: 1, x: 2, r: 3, n: 1}.\nAnswer: 4\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of z**4\/6 - 2*z**3\/3 + 3*z**2\/2 - 21*z. Let r be g(2). Let b = 12 + -16. Sort -12, r, b in increasing order.\nAnswer: -12, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 18*l + 2. Let v be g(-18). Suppose -v*d + 5205 = 3*o, 0 = -0*o + 5*o + 5*d - 8675. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130, 633, 1502, 2737, 4338?\nAnswer: 6305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 19 (b) 2\/5 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 952, 958, 968, 982, 1000, 1022, 1048?\nAnswer: 1078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -367*u**8\/28 + 197*u**4\/12 + 890*u. What is the third derivative of l(m) wrt m?\nAnswer: -88080*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 943380.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4*m - 16 - 4 = 0, -15 = 4*p - 3*m. Suppose p - 4 = -l. Solve 4*i - l = -0*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16b - -6?\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*b + 1 = -92*b - 2*x, x + 4 = 4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4*l**3 + 31*l**2 + 3*l + 1221. What is q(0)?\nAnswer: 1221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*f - 247857547 - 29799026 = -333*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + l - 48 - 5, 2*k + 5*l = 49. Is 10 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -107*r + 101*r + 12. Factor -5*j**r + 3*j + 5*j**4 + 25*j**3 + 0*j**2 - 28*j.\nAnswer: 5*j*(j - 1)*(j + 1)*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/(-8))\/((-8)\/(-32)). Let g be (-8 - j)*(-2)\/1. Suppose -10 = -3*y + 4*n, 4*y - 4*n + 5*n - g = 0. Solve 0 = u - y*u + 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen quarters of a millennium?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of 397*d**6\/30 - 709*d**4\/24 - 10*d**2 - 15. What is the second derivative of q(g) wrt g?\nAnswer: 9528*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or 1373\/167?\nAnswer: 1373\/167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/3, 55303716 in ascending order.\nAnswer: -2\/3, 5, 55303716","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -414562 by -207281.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25554 + -25551.5. Let p = 3 - 2.8. Put s, p, 3 in ascending order.\nAnswer: p, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1465 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-6 + (-4 - -6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27332?\nAnswer: 2, 6833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1034 a factor of 1825010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -17 - (-1170)\/72 - (-1)\/(-20). Let w = 30.02 + -0.02. What is the biggest value in 0.4, -2\/13, s, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -4 + 1)*-1. Let t(y) = 3 - 5*y - p - 7 - 7. List the prime factors of t(-8).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l + 5*g + 8, -455*l - 5*g + 8 = -451*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/3*(-6)\/4. Suppose -4*w - 4 = -6*w + 2*n, 0 = v*n - 10. What is the greatest common factor of 4 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -4. Suppose 0 = -k - 0*k + v*t - 1, 0 = 5*k - 5*t - 5. Factor -8\/13*q + 2\/13*q**4 + 2\/13 - 8\/13*q**k + 12\/13*q**2.\nAnswer: 2*(q - 1)**4\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000014894346 rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 95583 divided by -211\nAnswer: -453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/1536 and -33\/80.\nAnswer: 7680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*v = -155*v - 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - v = -5, 3*v = -2*w + 6*w - 11. Suppose 3*r = m, -5*m + w*r = 3*r - 32. Suppose -m*k + 86 = -394. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*a**3 + 290*a**2 - 1111*a - 2114430?\nAnswer: 12*a**2 + 580*a - 1111","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2876.9989509 + 2877. What is n rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + 5?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 10*x**2 + 6*x - 13. Let r be w(-4). Let y(q) = r*q + 1 - 125*q - 1. Let a(k) = 28*k - k**2 - 7*k + 14*k + 25*k. What is y(a(u))?\nAnswer: 2*u**2 - 120*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1147778 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -102362466 (base 7) in base 15?\nAnswer: -7ec456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220812 is divided by 2105?\nAnswer: 1892","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by -79508\nAnswer: -15\/79508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 + 1)\/(0 + 1) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 8*m**2 - 12*m + 15. Let n(d) = -7*d**2 + 12*d - 16. Let f(j) = -6*k(j) - 7*n(j). Let q be f(9). Sort -2, -3, q in increasing order.\nAnswer: q, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1289*f - 99*f + 8*f.\nAnswer: 1198*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.03 (b) -1\/3 (c) 0.046\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 + -185174?\nAnswer: -18517c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/(-80) + (-19178796)\/(-448). What is k rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 115934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*(sqrt(19) - (sqrt(19) + 1))*5 + 3) + 3.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2827 + 2?\nAnswer: -2825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q + 3*q. Suppose q*x + 2*x + 2 = 0, 4*x + 13304 = 2*h. Round h to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from iqiiqqii?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*c + 36*c = 70*c - 660. Suppose -4*k + 11 + 1 = 0. Suppose 4*i = 3*q - 28, 4*q + 4 = 8*q + k*i. Solve -c + 2 = q*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 13*b**2 - 3*b - 2. Let c = 9 + -10. Calculate the remainder when 27 is divided by h(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 + 36. Solve -m - m + 6 = h for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -187 - -189. Suppose 5*u + 36 = k*l, -l + u + 2 + 13 = 0. Let z = 11 - 6. Solve -4*i = l - z for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -99, -77, -17, 99, 289?\n\"Answer: 3*n**3 + n**2 - 2*n - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -5. Let m = l - 7.06. Round m to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 25, -2\/7, 20, 6, -5?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 21 - 96. What is the highest common divisor of m and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/13? (a) -0.3 (b) -48 (c) -0.4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 117880 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/40174 and 101\/2274.\nAnswer: 120522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 792 - 1124. Let f = m + -178. Round f to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 627007079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 4*j - 3 = 10, 9 = -4*w + 3*j for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 139595, 139147, 138403, 137363, 136027, 134395?\nAnswer: 132467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 12 = -3*m, 0 = p + 6*m - m + 18 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.02657 - -4.97343. Which is the closest to 1? (a) y (b) 0.06 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 9, i: 2}. What is prob of sequence ooo?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 561469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1756526277 to the power of 1\/3, to the nearest integer?\nAnswer: 1207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 24*d**2 + 202*d - 1189. What is p(14)?\nAnswer: -321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 766084.191 rounded to the nearest 1000?\nAnswer: 766000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 76, 646, 2194, 5206, 10168?\n\"Answer: 81*b**3 + 3*b**2 - 6*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 - 4*u**2 + 3*u**2)*(-u**2 + 0 + 0 + (-2*u + 2 - 2)*(4*u - 3*u - 2*u) + (-81 + 81 - 9*u)*(-u - 2*u + 2*u) + u**2 - 3 + 3).\nAnswer: 11*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of 1\/6*n**3 + 0 + 7*n**2 - 28*n. Calculate l(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -o**6\/360 - o**5\/30 - o**4\/8 + 37*o**3\/2 - 127*o**2. Let d(j) be the first derivative of x(j). Give d(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 203 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 - 104 - 66*i**3 + 104.\nAnswer: -66*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 155620 and 46700.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*a - 75*a - 75*a = -3273 - 7331 for a.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 135, 1028, 3515, 8382, 16415, 28400?\nAnswer: 45123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 578*c - 424*c = -3080 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -86, -589, -1484, -2771, -4450?\n\"Answer: -196*h**2 + 85*h + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(15)\/((sqrt(12)*4)\/sqrt(4)) - ((sqrt(720)*3)\/sqrt(4))**2).\nAnswer: -3240 + sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 - 102211?\nAnswer: -102101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 4:02 PM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 5:42 PM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 7*v - 30 = 0. Let k = -4 - v. Suppose -k*m = -r + 437, -491 = -r + 3*m - 51. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/24 + (-66)\/(-36).\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-21)*1)\/((-52)\/18).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 816 and 848.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 561\/98 smaller than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, x: 8, d: 2, c: 3}. What is prob of picking 3 x?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8384?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -66, -256, -638, -1278, -2242?\nAnswer: -3596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 25 = 5*l. Let a be (l + 6)\/(-1 - 0). Suppose 2*y + a*y = 20. Solve -k = -y*k - 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6361260205 to the nearest integer?\nAnswer: 1853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1840976 a multiple of 786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Divide 11082042 by 17.\nAnswer: 11082042\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -7 - 609*v - 14 + 602*v. What is n(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48891 by 1.\nAnswer: 48891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/6 and -48\/3505.\nAnswer: 21030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5*k + 27 = 0, -k + 10 = 3*j - j. What is the remainder when 20 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**4 + 82206*t**3 + 1690196276*t**2 + 30401505576*t + 94568142816 = 0.\nAnswer: -41094, -14, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 338188 (base 12) to base 2.\nAnswer: 11001000110111111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -22 + (3 - (-1 + -2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 558273179 to the nearest integer?\nAnswer: 823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 6*n + 2*n**2 - 4*n**2 + 7 + 2*n**2. Let j be r(5). Let o be 2 + (2008\/j)\/(-2). What is o rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, u: 7, b: 2}. Give prob of sequence hbuh.\nAnswer: 7\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 882, 1864, 2882, 3942, 5050?\n\"Answer: j**3 + 12*j**2 + 939*j - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 381, 769, 1169, 1587, 2029, 2501, 3009, 3559?\nAnswer: 4157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 5*i + 2. Suppose 2*u - 4*u + 12 = 0. Let a be w(u). Suppose 4 = 2*x - a. What is the greatest common divisor of x and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -1. Let f(l) = -l + 1. Let y(g) = 2*g - 2. Let u(p) = f(p) + y(p). What is -h(b) + u(b)?\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**3 + 42*l**2 + 200*l - 3416. Determine z(22).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 81 - 72. Suppose -o = y + 2*n, -13*y + 9*y - 5*n - 30 = 0. Suppose 2*j + 4 = -g, -2*j = 3*j + 15. Which is the nearest to -6? (a) g (b) y (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + x**2 - 1. Let g(t) = 2*t**2 - 5. Let a(u) = -u - 4. Let y be a(-6). Let w(v) = y*s(v) - g(v). Find the first derivative of w(d) wrt d.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -1631 in increasing order.\nAnswer: -1631, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.8 (b) -58051 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 11 - 13 + 19 - 14 - 3*l + 21*l. Determine i(-3).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -132*d - 24126. Determine w(-187).\nAnswer: 558","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2200 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.434175*1.\nAnswer: 2.434175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.039 - -6.739. Let u = 119.7 + -120. Let m = p - u. What is the second smallest value in 5, m, 1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8015*c**5 - 3622*c**3*p**2 + 42865767*c**2*p**2 - c**2 wrt c?\nAnswer: -480900*c**2 - 21732*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-15)*(z\/((z*z**(-13)\/z*z)\/z))\/z)**(-32) assuming z is positive.\nAnswer: z**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14271 and 6035?\nAnswer: 1213035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17530.\nAnswer: 2, 5, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.889 - 8.889. What is the nearest to -12 in 0.2, 5\/6, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5)\/d**7)\/((d\/(d*d*d**(-3)\/d*d)*d)\/d*d**(1\/4)) assuming d is positive.\nAnswer: d**(-57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 2\/5311, 1\/9, 3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -14 - 14. Suppose 0 = -m*g + 3*g + 495. Calculate the greatest common factor of 45 and g.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m - 6. Suppose 4*j + 4*t - 10 = 6*j, -2*j - 3*t = 10. Let r be d(j). Let k = r + 4. Sort -2, k, -1 in ascending order.\nAnswer: -2, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 + -31. Is 2 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + 15. Let r be (((-60)\/(-9))\/2)\/(z\/(-9)). Suppose r*t - 264 = -64. Is t a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31545460 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -79*y**2 + 2*y + 1. Let i be r(-1). Let j be (14\/(-5))\/(2\/i). Let h = -63 + j. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l**2 + 4*l**2 + 3*l**2)*(4*l + 59*l**3 - 3*l + 17*l**3).\nAnswer: 76*l**5 + l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12180\/(-4950)*-3 - (0 + 7) and -47\/303.\nAnswer: 16665","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(209) + -2*sqrt(209)))\/sqrt(11).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 5*z - 4*y + 18, -2*z - 2 = -5*y for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.36 and -5175.25.\nAnswer: -5175.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2352 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: Suppose 0*p - 4*p + 2268 = 0. Let y(h) = 298*h + 4. Let l be y(1). Let z = p - l. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1613 + 39*f + 1613)*(-2 + 2*f**2 + 2 + (f - f + f)*(5*f - f - 3*f)).\nAnswer: 117*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 128830001*o**4 - o - 12410311.\nAnswer: 1545960012*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 158\/5 + -32. Let l = 0.13 - 0.13. Which is the closest to -1? (a) w (b) l (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100101110100110 (base 2) in base 16?\nAnswer: -1cba6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fr when two letters picked without replacement from {q: 1, c: 3, d: 1, z: 1, r: 1, f: 6}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13110231 (base 4) to base 2.\nAnswer: 111010100101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*k + 11705 = 0, -k + 6738 = 4*t - 2605. List the prime factors of t.\nAnswer: 3, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a millennium?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r**2 + 128*r + 24. Let m be h(25). Suppose 0 = 2*x + 5*n - 2079 - m, x - 1714 = -3*n. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 15, 2*n - 360 = -2*f + 92. Suppose 4*z = 609 - n. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16100\/112 + 4\/(19 + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -14. Suppose 0 = -5*t + 5*o + 190, w*t = 3*t - o + 102. Calculate the highest common factor of t and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 v when four letters picked without replacement from {g: 9, v: 2}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18048 divided by -9024.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*f*i**2 - 1294*f*i - 714999*f + 55*i**2 - 3 wrt i.\nAnswer: 10*f*i - 1294*f + 110*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001308 to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -489156642*z**3 + 1467595038*z**2 - 375344*z + 24.\nAnswer: -2*(z - 3)*(15639*z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1066073.96 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 1\/6*p**2 + 25 - 1\/12*p**4 - 1\/15*p**5 - 2\/3*p + 1\/3*p**3. Factor h(r).\nAnswer: -(r - 1)**2*(r + 1)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102838871?\nAnswer: 102838871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 75 + -75.2. Let p = -5 + 5.5. What is the third biggest value in p, 0.03, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9, 4, -17, -66, -155, -296?\n\"Answer: -2*d**3 + 4*d**2 - 3*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of 5*b**4\/12 + 79*b**3\/6 - 6107*b**2. Give u(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 15*d - 5234 = -5956. Calculate the smallest common multiple of 34 and d.\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -107*d - 10634 + 100514. Calculate the remainder when d is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 3:57 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2845*v**4 - 42*v**3 - 453*v**2 - 282*v + 1.\nAnswer: -68280*v - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 7*k**2 + 6*k - 9. Give r(-9).\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(-2*f + 0*f + 0*f) - 59 - f + 59.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**5 + 273495*t**4 + 4982799525*t**3 + 30167207380445*t**2 - 1275832646596830*t.\nAnswer: 5*t*(t - 42)*(t + 18247)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-10)\/(-12)*(-4)\/(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = n - 48, -3*y + 3*n = -0*n - 150. Let s = 32 - y. Let d = 32 + s. Solve 4*c = u - 6, -3*c - 2*c - d = -5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 + 89. Calculate the greatest common divisor of 14 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 4*c - c. Let b = 22 + c. Solve 0 = -0*o + 3*o + s - b, 0 = 3*o - 2*s - 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -17 + 202. Let m = p - -39. Let q(y) = -4*y**m - 4 + 9*y**2 - 3*y**2 - y**2 + 3*y. Determine q(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 10:29 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18757 is divided by 354?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 23.7216 and -543.\nAnswer: -519.2784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 640 and 89856?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 74\/5 of a centimeter?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/195, 0.4, 0.5, 2.1, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 283*m**2 + 105*m**2 + 89*m**2 + 86*m**2.\nAnswer: -3*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-1) - (10 - 56\/7). Let r be -2*(-4 + -3 + 6). Suppose -4*o = -r - 2. Solve c*d = o + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -b**3\/3 - 7*b**2 + 47*b - 3. Calculate the remainder when 32 is divided by j(-16).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**3 - 17*s**2 + 6*s + 19. Let a be k(8). Suppose 0 = y - 5*y + 16. Solve -5*g - y*p = 19, -2*g + 5*p - 4 + a = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**4 - z**4 - 2*z**4 + (-z**3 + 2*z**3 - 2*z**3)*(-3*z - 6 + 6).\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/5)\/(3\/10). Suppose -4*u + x = -20. Suppose -1 - 7 = -2*q. Solve -q*w = -w + u for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -73042, -146085, -219128, -292171, -365214, -438257?\n\"Answer: -73043*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/7 + 46\/(-112). Let u = 478 - 477.9. Which is the nearest to u? (a) 2\/15 (b) -1\/5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 0*g**3 + 3*g**2 - 8*g + 2*g + 3*g**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2218, 5244, 9072, 13702, 19134, 25368, 32404?\nAnswer: 40242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 76.329\nAnswer: 76.329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 337 is divided by 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 8) to base 15.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*40\/35)\/2?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*t**2 + 3*t**2 + 85*t**2.\nAnswer: 151*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/12)\/(6*4\/(-132))*-4?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 725?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*4*(sqrt(7) + 1).\nAnswer: 16 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + 4*p - 15, -2*z + 4*p = -61 + 67 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 519 + 175 = -h, -3*h + 1012 = -2*l. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 26*g - 26. Let l be i(2). Calculate the greatest common divisor of l and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.14 - 0.06. Let o = -0.3 - t. What is o rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 4*n**2 + 2*n - 2. Let m be y(-3). Let a = 49\/366 + 2\/61. Are a and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -50840077*v + 44726015?\nAnswer: -50840077","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + (2 + sqrt(637) - sqrt(13)) + (sqrt(468) - -1*sqrt(468)) + (-2 + sqrt(1872)*1 + sqrt(1872) - sqrt(1872)))*-3)**2.\nAnswer: 112437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -0*x + 2*x + 4, x - 3*t = -2. Find the common denominator of -3 + 2845\/150 + x\/(-10) and (-2)\/(-3) - 143\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -64*j + 834. Let k be n(13). Suppose 0 = -k*v - 84*v + 344. Find w such that -2\/7*w**3 + 2\/7*w**v + 0 + 0*w**2 + 0*w = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -5*h**4\/4 + h**3\/6 - 2*h. Let l = 53 - 52. Determine q(l).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 134 = -z. What is z rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -65 - -79. Let s(r) = -r**2 + 12*r + 32. Let q be s(m). Suppose -6*k + q*l + 112 = -2*k, 3*k - 84 = l. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1000 - -1210. Calculate the remainder when l is divided by 57.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 10578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 10 = 4*b, s = 3*b - 2 - 9. What is the second derivative of -4 - 2*t**b - 11*t**3 - 8*t + 4 wrt t?\nAnswer: -78*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2785*i + 40*i**2 - 576 + 2781*i - 280 - 9*i**2 - 4*i**3 wrt i.\nAnswer: -12*i**2 + 62*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.02878695 greater than or equal to 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28.47 - -26.47. Let d = -18 - -18.4. What is the third smallest value in 0.14, s, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10567 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*t = 50, -27 = 5*t - 2. Let i be (-3)\/x + (-1)\/(-4). Let a = 0.5 - 0.3. What is the closest to 0 in 0.4, i, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/105*(-11)\/22*(-20)\/(-24)*3.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + 0.3. Suppose -4*d = 5*v - 55, 4*v + d + 17 = 50. Let c be (v - 9)*(-1)\/(-5). What is the closest to -1 in c, w, 0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 274 + -270. Solve -b*r + 23 = 3 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 3 + 1 - 1 + 3 - 4 + (1 - 5 + 3)*(0 - 4 + 2))*(-w**2 + 2*w**2 + 0*w**2) in the form j + q*w + x*w**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-4) - (-1727)\/6732. Let g = i - 53\/306. What is the nearest to 2 in 0.3, g, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*f + 20. Suppose -f*t + 4*g + 7 = -9, 5*g + 20 = -t. Let h(y) = y - 6. What is h(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 11:35 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*f = f + 156, 3*f = 4*m - 327. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*u + 5 = -39*u. Solve 0 = 3*y + u*n - 40, -3*y - 2*y - 4*n = -45 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 21. Let b = -3037 - -3042. Solve b*t + 0*t + 5 = c for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 18210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 5*d**2 + d - 2. Let t be c(-3). Suppose 0 = -t*g + 73 + 44. Suppose g*z - 1525 = 158. Does 26 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/28 and 43\/336?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39146 (base 11) to base 15.\nAnswer: -11933","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40587*o + 2*o**3 - 40587*o.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, h: 5, q: 1}. Give prob of sequence rrhq.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12399096065 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 190220979 to the nearest integer?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -15.8 (b) -3\/8 (c) 15 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b - 48. Calculate n(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-120*147\/4410)\/(((-105)\/(-9))\/5*4)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4*h**2 - 4*h - 35. What is b(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from faf?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 42264758 to the power of 1\/2, to the nearest integer?\nAnswer: 6501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*q - 50*q + 9 = 0 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 p when two letters picked without replacement from ppppvvpvpvppv?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18972 or 360460\/19?\nAnswer: 360460\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-30)*(-60)\/16*16\/(-12).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -20 times -126\nAnswer: 2520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of g**3\/3 - 15*g**2\/2 + 17*g + 5844. What is o(5)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 58*c + 10. Let t be i(-2). Let n = t + 226. Is n a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 6278*k - 365. Let p(r) = 69*r - 4. Calculate -365*p(f) + 4*u(f).\nAnswer: -73*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -302003 + 4?\nAnswer: -301444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 68657879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-350)\/(-50)*16\/(224\/98).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -8427.42 to the nearest 100.\nAnswer: -8400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16.97 - -0.03. Let l = -16.89 + m. Sort l, 0.1, -3 in decreasing order.\nAnswer: l, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.43 - 4.43. Let y = -71 + -57. Let l = 101 + y. Which is the second biggest value? (a) i (b) -4\/5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 14) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9 (b) 0.1 (c) 2 (d) 1\/9 (e) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72874*j**2 + 2*j - 2*j + 68905*j**2.\nAnswer: -3969*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 14. Suppose 5*u = 20, -l + 4 + i = 4*u. Let f(w) = -39*w - 15. List the prime factors of f(l).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 0 + sqrt(768)\/sqrt(4).\nAnswer: 1 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 9. Let l(u) = -u - s*u + 3*u - u. Let i(d) = 2*d. Calculate i(l(o)).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/50 of a hour?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14 + 3 - (-8 - 17 - -18)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -9677.65822 to the nearest 100.\nAnswer: -9700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -x - 3*x - 4, -2*l = -3*x - 3. Let u be ((-3)\/(-6))\/(x\/8). Let a be (3\/(-2))\/(6\/8). Which is smaller: u or a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 32498*r**3 + 11*r**2 + 11*r - 11. Let o(z) = -16249*z**3 - 6*z**2 - 6*z + 6. What is 6*d(n) + 11*o(n)?\nAnswer: 16249*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 658 - 954. Let i = -297 - p. Does i = -56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1367681 (base 11) to base 2.\nAnswer: -1000111110011000110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 62721 less than 0.3?\nAnswer: -62720.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4125 + 4125. Let l = 7 + -5. Find the second derivative of l*s - 20*s**5 + 29*s + h*s**5 wrt s.\nAnswer: -400*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 5.8, 2, 5\/13, 15.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - (sqrt(12) - sqrt(144)\/(sqrt(12) + sqrt(12)*-3)))\/(-5*sqrt(726) - sqrt(6)).\nAnswer: sqrt(2)\/112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2879129 (base 10) in base 5?\nAnswer: 1214113004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 194648 and 13804.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**2 - 1 + 4*u**3 - 26329*u + 26331*u - 5*u**4 - 30 to the form o*u**2 + l*u**3 + i + w*u + b*u**4 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x - 5*j = 60, 151*x - 12*j + 0*j + 4*j + 8*j = -2*j - 765 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4*f = 0. Let w be (-204)\/(-10) - (-737 + 757). Which is the nearest to -0.2? (a) 0.3 (b) f (c) w (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 161\/4 + 2\/(-8). Suppose -2 = -3*k + n. Is k a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1908.842*4\nAnswer: 7635.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -9431.257 to the nearest ten.\nAnswer: -9430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 76, 51, 26?\n\"Answer: -25*z + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -35 + 89. Suppose 5*l - 14 = -m + n, -4*m + 13 = -3*l. Calculate the least common multiple of 2 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*s + 1463 = -2*s. Calculate the lowest common multiple of 107 and s.\nAnswer: 1177","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6066 and 12.\nAnswer: 12132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j + 18*j - 67*j - 179*j.\nAnswer: -235*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -277237085.00000036 + 277237093. Let b = -8 + w. What is b rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28\/5 in 0.29, 8, 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, -2\/9, 5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 92719, 92570, 92349, 92020, 91547, 90894, 90025?\n\"Answer: -6*g**3 - 107*g + 92832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7279, 14574, 21871, 29170, 36471, 43774?\nAnswer: 51079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 6:40 AM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(3\/7)*b)\/b*b\/b**(3\/11))\/((b*b**0*b)\/(b*b**(3\/11))) assuming b is positive.\nAnswer: b**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/5, 4, -1\/7, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3258741 is divided by 203671.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101000000110101011010011 (base 2) to base 10.\nAnswer: 10513107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.73 - 0.8. Let j = -0.43 + g. Sort -2\/15, 2\/3, j in increasing order.\nAnswer: j, -2\/15, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.98799 + -0.01201. Which is the nearest to 0.1? (a) -51 (b) 0.5 (c) 1\/4 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/((p*p**0\/p*p)\/p*p)*p**0*p*p**(4\/19)\/p**(-2\/5) assuming p is positive.\nAnswer: p**(153\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 110 and 2110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5464 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.04 - 3.96. Let g be (2\/(-10))\/((-2)\/(-4)). Let v = 330\/31 + -866\/93. Which is the third biggest value? (a) o (b) v (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 9*o - 2. Let i be p(8). Suppose -3*u - 24 = -i*u. Solve 3*a + m + 3*m = -19, u = -2*m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q + 5*q - 8*q - 3*q + 559*q**2.\nAnswer: 559*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2893450 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mejmjmemmmmmhejmhmej. Give prob of sequence jh.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c + 3. Let j(v) = v - 3. Let h(q) = 2*i(q) + 3*j(q). Suppose 7*m - 3*m - 2*u = 0, 0 = -2*u. Determine h(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1328826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*r = -123 - 190, -4*h + 2*r = -1222. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 4:08 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d + 227 = -18*d + 2*f, -3*d = -f + 691. Let u be 45186\/330 - 63\/d. Factor 16\/5 + 588\/5*s**2 + u*s**3 + 168\/5*s.\nAnswer: 2*(7*s + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 68, 5, 0, 4 in ascending order.\nAnswer: 0, 4, 5, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44 + 253. Let y = r + -137. Suppose -y = -4*u + 20. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 9:10 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 15*s**2 - 6*s - 36. Let q be h(12). Let v = q - 227. Suppose 91*w + 1344 = v*w. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-269*a**4 + 44*a**4 + 72*a**4)*(4 - 4 + 2)*(1 - 3*a - 1).\nAnswer: 918*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: -208 + -0.19\nAnswer: -208.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2796196 and 52.696?\nAnswer: 52.4163804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kikkkkkkiikkmkkikmmm. Give prob of picking 2 m.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**3 - 8050*i**2 + 161728*i - 291240 = 0?\nAnswer: -4045, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {q: 1, t: 4, y: 4, d: 5, v: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**3 - 4*n**2 + 5*n. Let d(b) be the third derivative of b**5\/60 - b**4\/24 - b**2. Determine -4*d(p) - k(p).\nAnswer: 2*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 293928\/1322190 + 6\/(-27). Let n = -1052801\/661095 - t. Find the common denominator of -37\/33 and n.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 49?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28487*l + 10502*l + 17838*l - 14909*l to the form n + s*l and give s.\nAnswer: 41918","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -104854896 divided by 6?\nAnswer: -17475816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -k**5\/30 - 5*k**4\/24 + 100*k**3\/3 + 2*k**2 + 13*k. Let h be l(0). Calculate the highest common factor of 50 and h.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.5, 2\/3, 1, 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 4:45 AM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 177*z + 2*z**2 + 163*z)*(-19 - 6 + 2).\nAnswer: -46*z**2 + 322*z + 46","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*q - 779 - 1107 + 2958 = -14*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 17\/(-6) + 30\/12\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 687 + -687.24. Sort 0.4, k, -5\/6.\nAnswer: -5\/6, k, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1680 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 187458 to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 9*r + 8. Let o be u(-7). Let w(n) be the third derivative of -n**4\/24 + 7*n**3\/6 - 2*n**2. What are the prime factors of w(o)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*k**2 - 83*k**2 + 47*k**2.\nAnswer: -86*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 4*q**2 - 27392*q - 687300 = 0?\nAnswer: -25, 6873","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 289*m**2 - 4*m + 366.\nAnswer: 578*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 3314733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(80)\/(sqrt(32)\/sqrt(4)))\/(sqrt(6)\/(sqrt(18)\/sqrt(6))).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 299820684 to the power of 1\/3, to the nearest integer?\nAnswer: 669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.75 - -4.25. Let f = 47\/5 - 809\/85. Suppose 0 = -2*c - v + 4 - 2, 2*c - 4*v - 2 = 0. What is the closest to c in 3\/2, f, n?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*f = 143 + 433 + 68 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 6 = 4*k, k + 1 - 2 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348549.\nAnswer: 3, 223, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 1 - 2 + 4 + n + 0*n. Calculate c(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1812790*c**4 - 36*c**3*r - 11*c**2*r - 11237*c**2 - 2*c - 6*r wrt c?\nAnswer: -43506960*c - 216*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 0.06\nAnswer: 0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1. Let y(q) = q + 9. Let x be y(-7). Let o(b) = n - b**x + 4*b - 3 - 8*b. Give o(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 4*q = 6*q + 60, 4*q = -4*o - 64. Put -4, o, 4 in decreasing order.\nAnswer: 4, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*w - 1922 + 1310 = 4924 for w.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122064570?\nAnswer: 2, 3, 5, 150697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**6*z*z*z*z**(-2\/11)*z*(z*z**0*z)**(2\/181) assuming z is positive.\nAnswer: z**(19592\/1991)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 306 and 18360.\nAnswer: 18360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39.956 + 0.044. Let c = p - 43. What is the nearest to 0.1 in -2, 3, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -57*s + 192*s + 50*s. Let r(f) = -2*f**2. Give m(r(a)).\nAnswer: -370*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 222211 - -3?\nAnswer: 222220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u. Let f(l) = -l**2 - l. Let p(c) = -d(c) - f(c). Let y(h) = 0*h - 2*h - 5*h + 2*h. Determine p(y(s)).\nAnswer: 25*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -f**6\/540 - f**5\/180 + f**4\/18 - 5*f**3\/3 + 7*f. Let h(u) be the second derivative of s(u). Factor h(d).\nAnswer: -2*(d - 1)*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17462644.617 rounded to the nearest ten thousand?\nAnswer: 17460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*2855787.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*l**6*p**3 - 6*l**6*p - 15*l**2 + p**3 - 2*p wrt l?\nAnswer: 720*l**3*p**3 - 720*l**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-55*l + 90*l - 44*l)*(-5*l - 2*l + 6*l)*(0 + 4 - 6)*((-2 + 3 - 3)*(3 + 3 - 4) + 2 + 6 + 9) as u*l**2 + c + n*l and give u.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 5*u**2 + 2. Let k(f) be the second derivative of f**4\/3 - f**2\/2 - 21*f + 2. Determine 5*k(t) + 4*x(t).\nAnswer: -4*t**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4*-5)\/(52\/(-156)). What is the greatest common factor of b and 420?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 3*b - 4. Suppose 0 = 4*g - 21 + 9. What is the units digit of j(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.8? (a) 0.2 (b) 2 (c) -0.2 (d) 47 (e) -112\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 609.8222 hours to minutes.\nAnswer: 36589.332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -587, -1634, -3365, -5768, -8831?\n\"Answer: 2*y**3 - 354*y**2 + y - 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 3*f**2 - 2*f - 3. Let i be w(-2). Let u = -45.6 - -45.57. Sort u, i, -0.5 in descending order.\nAnswer: i, u, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x + 6. Let l be u(4). What is the remainder when 5 is divided by (-5)\/(-5) + (-2)\/l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -89.9245226 - -17.9245369. Let u = 72 + l. Round u to 6 dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116150183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-140 - 2)*310\/(-930))\/((-6)\/9)\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 266 + -614. Suppose -5*u + u = -2*d - 11624, -d = 3*u + 5797. Is (d\/(-4) + -1)\/((-261)\/s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 2 - 1)*(3*i + 0*i - 4*i) + (-2 + 3 + 0)*(-5*i + i + 3*i) - 3*i + 5*i - 4*i + 4*i - 2*i - 3*i.\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 4 = 2*k, 2*k = 14 - 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 297*i - 155*i - 201*i to z + r*i and give r.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4050 divided by -135\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 850\/1206829 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49024 is divided by 647?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6\/99365 - -215721343\/1192380. Let v = 181 - k. Let j = -1.2 - -1.3. Is v <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52 + -51. Let r = 3 + -26. Let z = r - -25. Solve -z*o = 4*q + p - 3, 4*o = -5*q - 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 96\/(-64)*(-16)\/6. What is the nearest to 2 in 0.06, s, 1\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 574 = 134*u - 230 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -26941700 to the nearest 100000.\nAnswer: -26900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 154271669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00336 rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -8. Let l be (a\/3)\/(2\/6). Suppose -15*f - 41 = 34. Sort 1, l, f in decreasing order.\nAnswer: l, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/13? (a) 0.3 (b) 2 (c) 4 (d) -8\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**5*m**(-5)*m**4\/(m*m\/(m\/(m*m**1))))\/(m**(2\/13)\/m**(-3)*(m*m**4)\/(m**(1\/8)*m*m)) assuming m is positive.\nAnswer: m**(-1459\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/3872 and 103\/1760?\nAnswer: 19360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 307 - 115. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 - (-16 + -19 + 103).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -4.49\nAnswer: -2.245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 309 and 21321?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11.4 - -11.529. What is a rounded to 2 dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -809, -1028, 0.4 in decreasing order.\nAnswer: 20, 0.4, -809, -1028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/7 (b) -516.31 (c) -1 (d) 32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 7*i**2 - 8*i + 10. Let k(b) = b + 6. Let v be k(0). Let d be g(v). Put 0, d, -6 in decreasing order.\nAnswer: 0, d, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 8. Suppose p = -3*m + 7. Suppose -4*d + 20 = -m*d. Calculate the greatest common factor of 5 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00021843 rounded to six dps?\nAnswer: -0.000218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 77, -5, 3 in decreasing order.\nAnswer: 77, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = t - 2147 - 2291, -t + 4450 = 5*z. Suppose 0 = 5*y - 415 + 40. What are the prime factors of 4\/(-30) + t\/y?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6426 - 6423 + 3*d**3 + 25700 - 6425 - 6426.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 998\/89321 + 219\/(-3580)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 8:17 AM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27920 is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -3) + 10 + -16 + 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w - 8. Let t be 7\/((8 + -2)\/(-6)). Calculate d(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 3 (c) -103 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 50*i = -48*i + 30, w = -4*i + 24. Solve -12*m = w + 44 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 333*x**2 + 10662*x + 192 = 0.\nAnswer: -32, -2\/111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 6*y - 8. Suppose 6*h + 19 = 7*h + 2*t, 2*h - 3*t = 52. Suppose 5*r + 40 = i, -4*r + h = -6*r - i. Determine j(r).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 388 - 122 + 482 = 44*b. Which is smaller: 33 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*t**2 + 13*t**2 - 10*t**2.\nAnswer: -113*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 61 times 6.2\nAnswer: 378.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100879 is divided by 4386.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.00762 + -0.49239. Let r = 3 + -3.5. Let a = c - r. What is a rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (69*8)\/(-4) + 1. What is the tens digit of u\/(-3) - 3\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 7:10 PM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.0514 - 0.0886. Let s = 10 + z. Let d = 7.5 + -2.5. Which is the smallest value? (a) -0.4 (b) d (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2727, -10384, -23073, -40794, -63547, -91332?\nAnswer: -124149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u - 1. Let o(d) = -d**3 - 8*d**2 - 9*d - 13. Let r be o(-7). Calculate a(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e + -5?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 26*b + 1. Let j(s) = -2*s - 8345 - 8347 + 16692. What is j(n(a))?\nAnswer: -52*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/46 and ((-2)\/7*1410\/60)\/((-3)\/7).\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2932, -5822, -8742, -11710, -14744, -17862, -21082?\nAnswer: -24422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -9*x + 79. Let u be j(9). Let a(y) = -2*y**2 - y + 2. Let m(z) = z**2 + z - 1. Give u*a(f) - 2*m(f).\nAnswer: 2*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -849 at least -864645\/1018?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17460 is divided by 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 1:49 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)\/(sqrt(1584) - (sqrt(1584)*1 - sqrt(1584))))**2*3.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-22 + 23)*(1 + 1 - 3). Let x be -136 + (-3)\/d*(-2)\/(-2). What is x rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 3*d + 12, 2*i - 5*d = 5 + 9. Let s(f) = f - 2*f - i - 5*f. What is the remainder when s(-2) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -216 - -212. Is 19 + 186 - i\/1 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6462144 a multiple of 1248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - z + 9. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11*1*7\/(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 1 - 11. Let h be (-3)\/v + 90012\/(-20). Round h to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 82*k - 1. Let p(i) = -247*i + 4. Let j(u) = -7*h(u) - 2*p(u). Let v be j(-2). Suppose 176 = 4*r + 5*a, 2*a = 3*r - a - v. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {x: 1, e: 2, w: 3, p: 3, q: 1, b: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(9\/3 - 7). Let n be 6\/27 + (-11)\/9. Let l(j) = -j - 1. Let h be l(-1). Sort n, h, u in descending order.\nAnswer: u, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1972, 4136, 6650, 9688, 13424, 18032?\nAnswer: 23686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -102332*x**2. Let w(t) = -2*t. Give r(w(z)).\nAnswer: -409328*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -17*o - 2. Let v(y) = 4*y. Let z(n) = -32*n - 40*n - 10*n - 9*n - n. Let r(t) = 24*v(t) + z(t). Give a(r(x)).\nAnswer: -68*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -2021?\nAnswer: -2032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 29796 (base 16) to base 11\nAnswer: 1066a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 64113 + -38058. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-5)\/2)*(60 + -8 - 30).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 2\/7 (b) 0 (c) 103\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 8*z**2 + 3*z. Let x(o) = 9*o**2 + 3*o. Determine 6*s(i) - 5*x(i).\nAnswer: 3*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 4*q**2 - 2*q + 4. Let i be t(5). Let j = i + -13. What is the common denominator of ((-8)\/j)\/(30\/115) and -51\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 100 + -95. Let l be ((-42)\/f)\/(2 - (-1144)\/(-560)). Let g be 56\/l + (-24)\/(-14). Which is the closest to 0.1? (a) -2\/3 (b) g (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4206 + 11805?\nAnswer: 16112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19506 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**2 + 19*w + 9. Let p be y(10). Is p at most -5\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -9. Suppose 6*v = 3*v + o*w - 545, 2*v + 4*w = -342. Let j = -16 - v. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 54, 214, 468, 804, 1210?\n\"Answer: -2*a**3 + 59*a**2 - 3*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -19*r**3 + r**2 - 4*r + 1. Let h(n) = -32*n**3 + 3*n**2 - 9*n + 3. Let s(b) = -3*h(b) + 5*j(b). Calculate s(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28904 is divided by 419?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 2*h + 5 = -8, -n = h + 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 t when four letters picked without replacement from jttttttj.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n + 4. Let z be g(-4). Let a(u) = -5*u**2 + z*u**2 + 3*u**2. Let m(b) = -2*b**2. Calculate m(a(k)).\nAnswer: -8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -12, -0.12324, -2\/33, -3?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of g**2 - 22. Let o(a) be the first derivative of 11*a**3\/3 - 1. Calculate o(u(m)).\nAnswer: 44*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 81074827.\nAnswer: -2\/81074827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c**2 - 2*c + 2. Let b(z) = -2*z**2 + 3*z - 3. Let f(i) = -2*b(i) - 3*h(i). Let x(d) = -55*d**2 + d. Calculate x(f(w)).\nAnswer: -1375*w**4 - 5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -860*z + 3*z**3 - 1089*z + 3038*z - 1089*z.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 3*i + 27, -i + 2*i = -2*d + 3. Solve -d = q + 3*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i - 63. Let f(a) = 2*a - 31. Suppose q + 2*v + 14 = 37, 0 = 4*q - 2*v - 22. Calculate q*f(m) - 4*u(m).\nAnswer: -2*m - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1074 to the nearest ten.\nAnswer: -1070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*c - 10*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 414191283 to the power of 1\/5, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r**2 + r**2 + 5*r**2. Let s(w) = -3*w. Determine d(s(o)).\nAnswer: 27*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1)**(-10)\/(((m\/(m\/(m*m**(-2\/11))))\/m*m)\/m**(3\/5)))\/((m**(-2\/25)\/(m*m**(-7)))\/((m*m**2)\/m**(-5))) assuming m is positive.\nAnswer: m**(-2238\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 1059102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (897 - 897 + 82*y)*(5*y + 3*y - 4*y)*(-3 + 6*y + 3) to the form x + m*y**2 + f*y**3 + l*y and give f.\nAnswer: 1968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 16, 32, 48, 64, 80?\n\"Answer: 16*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193393*f**2 - 391929*f**2 + 198530*f**2.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -6, 28*u - 25*u + 293 = -2*x. Suppose 5*r = -737 + 2052. Let j = r + u. Is j a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 9:40 AM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 l when three letters picked without replacement from {s: 8, l: 3}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1068630, 5, 156?\nAnswer: 1068630","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/9, -367, 6\/71?\nAnswer: 6\/71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1293 and 4292760?\nAnswer: 1293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 88*c - 115*c + 135 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2355*k**6 + 1561*k**2 wrt k.\nAnswer: 282600*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 42 = -5*k, 5*k = -r - r + 23. What is the highest common divisor of 152 and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (7\/(-3))\/((-8)\/120) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -158 - -163. Suppose d = m*d + 4*g, -4*d + 4*g + 16 = 0. Solve t + d*i + 0*i = 8, -i + 7 = 2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/23100 and 13\/81200?\nAnswer: 2679600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 2, -10, 20.\nAnswer: -10, 2, 15, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1216*q = -27700 + 23592 - 20212 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*c**2*n**3 + 11*c**2 - 16*c*n**2 + 4*n**3 wrt n.\nAnswer: 96*c**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2808003886?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -76 + 74. Is (1760 - 1) + (-2)\/(-1 - m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20334 minus -2.357?\nAnswer: -20331.643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*z, -903 = -5*w - z + 977. Suppose 348 = -h + w. Suppose 25 = -4*x - x, -3*x = 4*s - 205. Calculate the remainder when s is divided by h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-2\/89))**(20\/7)*(w**30*w)**(-35) assuming w is positive.\nAnswer: w**(-96305\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 11:51 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 71304317 - 0.3\nAnswer: 71304316.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + m + 7, -m = l - 3*m. Suppose 5*y = 5*w + 455, -l*y + 90 + 89 = -w. What is the highest common divisor of y and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3141*t**3 + 1485*t**3 + 84034*t**5 + 1656*t**3 + 16995*t**5 + 2*t**5 + 4*t - 4*t + (-1 + 1 - 2*t**2)*(-t**2 + t**2 + 2*t**3).\nAnswer: 101027*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l + 12381329 - 2*l + 12381331 + 4*l - 24762653 - 5*l.\nAnswer: -l + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 135 - 3*n - 53 - 50. Let a be c(12). What is the third smallest value in -1\/4, 0.1, a, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 29 = 2*o - 2*b, 25 = 5*b. Let w be 1 + (0 + -1 - o). Let d(v) = 4*v. Calculate d(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 922 (base 13) to base 8\nAnswer: 3015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 412 - 3643\/9. Find the common denominator of x and 258\/36 + (-32)\/12 + 4.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -4.5. Let f = -5 - z. Let q = -4.4 - -4. Sort -1, q, f in increasing order.\nAnswer: -1, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.22 and -1.5?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1b5c7 (base 13) to base 6\nAnswer: 1052440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.064 * 0.8\nAnswer: -0.0512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 8*s - 10. Let d be q(-5). Suppose 1036 = 2*m + d*m. Is m a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -173390, -171852, -170302, -168734, -167142?\nAnswer: -165520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 - 44. Let y = p - -727. What is y rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 3\/6*4. Suppose -3*o + 50 - 17 = h. Let x = 16 - o. Solve -x*p + d + 2*d + 25 = 0, -p + 5*d = -27 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 11:05 PM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zhzh when four letters picked without replacement from hhhhhzhzhzhh.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -15*o**4 + 1120*o**3 + 375*o**2 = 0.\nAnswer: -1\/3, 0, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2681*z - 16057 = -889*z + 13349 - 6110 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 217 (base 8) to base 5\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ar when two letters picked without replacement from {t: 3, a: 1, e: 3, r: 2, x: 3, h: 3}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/13 - 51788\/(-168311)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -373314\nAnswer: -373300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 866071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 1102?\nAnswer: -1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1214, 4329, 9534, 16835, 26238, 37749?\n\"Answer: x**3 + 1039*x**2 - 9*x + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 604 divided by 604.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -48360 divided by 214?\nAnswer: -24180\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -w - 9, 4*w = -w + 3*j + 6. Let y be 22\/5 - 8\/20. Solve y*o + 21 = -w*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 14425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5355 and 15489?\nAnswer: 9215955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and 8540?\nAnswer: 8542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 582, 1164, 1746, 2328, 2910, 3492?\nAnswer: 4074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*q - 2*q + 8*q - 1)*(3 - 1 + 0).\nAnswer: -6*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-6*(-91)\/78.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005771 to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*j - 134 = -10*j + 111 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 21 - 8 - 2*p + p**2 + 3*p. Suppose 0 = -1339*q + 1333*q. What is f(q)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-1))\/((-15)\/(-3))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 46 = -138. Calculate the remainder when 179 is divided by z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 20 = -4*q + 6*q, 4*q - 4*s - 40 = 0. Let p = q - 2. List the prime factors of p*(2 + -1) - 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ycc when three letters picked without replacement from {y: 3, c: 8}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d + 13. Let m = 74 - 89. Let g be h(m). Suppose 2*r + 5*r - g = 0. Solve -r*p = -p + 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.48852nm?\nAnswer: 0.000000048852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 67295a (base 11) in base 7?\nAnswer: 12055066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26451 is divided by 3094.\nAnswer: 1699","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -24*u**2 - 4071*u - 2539. Give o(-169).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 2*i + 12. Let k be n(-8). Suppose 5*l - 25 = 2*p + 50, -4*p = 3*l - 45. Calculate the greatest common divisor of k and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-6)*6\/9. Let y = -54.5 - -55. Sort y, 2, k.\nAnswer: k, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84890 is divided by 384.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w - w + 4*w + 7 + (3 - 3 + w)*(3 - 1 + 0).\nAnswer: 4*w + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 132, 137, 142, 147, 152?\n\"Answer: 5*a + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, r: 1, f: 1, a: 4, t: 1}. Give prob of sequence ptaa.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22066 and 413.\nAnswer: 154462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 86837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25731272 or -25731271?\nAnswer: -25731272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 12418583?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3962787337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.8 + -0.8. Let h = 2342 - 2339. Is d not equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -125*w**2 + 34*w - 34. Let f be g(1). What is f rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 1248 (b) 1 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5154 - 3382. What are the prime factors of o?\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -260900378 rounded to the nearest 1000000?\nAnswer: -261000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v**3 + 457 - 432 + 2*v**3)*(-7 - 3*v + 0 + 6) to the form b + q*v + k*v**4 + m*v**3 + y*v**2 and give b.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 6*j**2 + 9*j + 7. Suppose 2*d - 35 = 5*k + 10, -3*k = 2*d + 11. What is v(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 604206?\nAnswer: 2, 3, 67, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 47 + 32 = 0. What is the remainder when 74\/(-222) - (-139)\/t is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9561293*g**2*m*v + g**2*v - 2401*g**2 - 16*g*v - 3*v wrt m?\nAnswer: -9561293*g**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 3*k - 1, -11 = -5*h - 2*k + 5. Suppose h*v = 124 - 44. Calculate the greatest common divisor of 20 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15063, -15139, -15215, -15291?\nAnswer: -15367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 370, 8 in descending order.\nAnswer: 370, 14, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -2\/7 (b) 130 (c) 22 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 257\/7 - 37. Let s = 502 - 501. Which is the smallest value? (a) 4 (b) s (c) 1\/2 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -6*x**3 - 37*x**2 + 1513*x + 9106. Calculate u(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 37, 1, -21, 3 in ascending order.\nAnswer: -21, 1, 3, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 73 - 142. Let x = 82 + c. What is the second derivative of x*a**5 + 5*a**5 + 31*a + 471 - 471 wrt a?\nAnswer: 360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*p. Suppose -3*k + 0*k = p. Differentiate k*l - 2 + 0 + l wrt l.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 24351 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 9:16 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3 - -7) + (-4 + 0 - -346)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24104 is divided by 271.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.6 and 177.\nAnswer: 991.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 4*y**2. Suppose 1 = 3*w + 7. Let c = -4 - w. What is the lowest common multiple of 2 and q(c)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -49*b - 35. Let c be n(-1). Suppose -2*i - 8118 = -2*g, -12201 = 11*g - c*g - 3*i. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*i - 18*i + 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = d - 10, 22 = -x + 2*d + 3*d for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3330 (base 6) to base 16.\nAnswer: -306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/81, -0.3, 0.5, -11, -0.03, -14?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/3416 and 64\/891.\nAnswer: 3043656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/10)\/(4\/30*-9). Which is smaller: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -232, 3, 1062, 0, 5.\nAnswer: -232, 0, 3, 5, 7, 1062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 0) + -2 + 4. Let i = t + 1. Solve 0 = -i*s - 2*s - 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 12 = 0, g + 5*h = -9 - 2. Let j be ((-50)\/4)\/((-9)\/90). Suppose -10*d - j = -5*d. Is d at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x + 456 = 907 + 4125. Calculate the remainder when x is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -20 + 10360\/860.\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 223*s - 13 = 221*s, -4*s = -4*y - 28 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 193045332031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -25*o**3 - 11*o**2 - 3. Let g(j) = 23*j**3 + 14*j**2 + 3. Give 4*g(f) + 5*m(f).\nAnswer: -33*f**3 + f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - 13*b + 16, -5114*g + 5 = -5113*g - b for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 10:37 PM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of b**6\/180 - 2*b**3\/3 - 10. Let u(s) be the third derivative of n(s). Factor u(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 760, 1600, 2540, 3580, 4720, 5960, 7300?\n\"Answer: 50*t**2 + 690*t + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 240*b**6 - 251*b**4 - 99*b**2 + 414 wrt b?\nAnswer: 28800*b**3 - 6024*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 826*g = 866*g - 680 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**2 - 40*t - 88 = 0.\nAnswer: -2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pgzxmmx. 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: What is (3\/(-9)*-2)\/((-16)\/120)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9706 (base 10) to base 2.\nAnswer: -10010111101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mcmcmccmmmm. Give prob of picking 2 m and 1 c.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 437 divide 145227894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + h - 51. Let a be w(23). Let m = a - -2852. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08831744187 to 6 dps.\nAnswer: -0.088317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2683b9 (base 12) in base 11?\nAnswer: -3a5216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9604 - 108906 = -10*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, i: 2, t: 2, x: 1}. What is prob of picking 1 w and 3 t?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**2 + 88*j + 648. Give r(-21).\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 18093158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 92326 divided by 8?\nAnswer: 46163\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-3) + 7\/42)*-2. Let y(d) = -7*d**3 - d**2. Let s = -224 - -229. Calculate the smallest common multiple of s and y(k).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 12:27 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lzz when three letters picked without replacement from {l: 1, z: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 + 1 + -4 + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 11:52 AM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1071, 2145, 3217, 4287, 5355, 6421, 7485?\nAnswer: 8547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 132328853 to the power of 1\/3, to the nearest integer?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 11*o**2 + 42*o + 323. Let d be u(-10). Suppose 1\/5*l**2 + 1\/5*l - 1\/5 - 1\/5*l**d = 0. Calculate l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + 7. Let u be (-2)\/4 + i\/4. What are the prime factors of u - (-3 - (0 + -5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*l + 510 - 159 = 0 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37284, -74565, -111846, -149127, -186408?\nAnswer: -223689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -c**6\/720 + c**5\/20 - 3*c**4\/4 - 5*c**3 + 23*c. Let i(w) be the second derivative of v(w). Let i(l) = 0. Calculate l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 819*u**2 + 205*u**2 + 356*u**2 + 1033*u**2 as a*u**2 + y*u + k and give a.\nAnswer: 2413","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -13\/7 in decreasing order.\nAnswer: 3, 1, -13\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 161 or 163?\nAnswer: 163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {p: 2, k: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97906, -195705, -293496, -391279, -489054, -586821?\nAnswer: -684580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, f: 1, x: 3, a: 3}. Give prob of picking 1 f and 1 x.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.3376912107 and -0.06.\nAnswer: -1.3976912107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/1368960 and 29\/15872.\nAnswer: 5475840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218 = -4*h - x + 3*x, 5 = x. What is the remainder when h is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 730 = 5*g, 2*w = -0*w + 4*g + 292. Suppose 5*x + w = t, 4*x = 4*t - x - 569. What are the prime factors of t?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j - 5*j + 5*j - 3*j + 11*j + 4*j + (-2 - j + 2)*(2 - 1 + 0) + 5*j + 9*j - 4*j.\nAnswer: 23*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millennium in decades?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 + 2832*k + 13606272.\nAnswer: -4*(k - 2232)*(k + 1524)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 99391867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3186 - 3186. Let n(k) = k**2 - k - 19. Calculate n(u).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86 + 140489.\nAnswer: 140403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1304321, -5217439, -11739301, -20869907, -32609257, -46957351, -63914189?\nAnswer: -83479771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1226606*q**2 + 15549749 wrt q?\nAnswer: 2453212*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -1001424001?\nAnswer: -1001423553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -71 (base 14) to base 12\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 133 (b) -0.3 (c) 15 (d) 0.04 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -134464507*p**4 + 2*p**2 + p + 682422 wrt p?\nAnswer: -3227148168*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -19*z - 42*z - 81 - 15*z + 114*z + 19*z. Let k(b) = -7*b + 10. Determine 4*d(g) + 33*k(g).\nAnswer: -3*g + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9072 and 486.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from usjqutsjmtmj. What is prob of picking 2 s and 1 q?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-16)\/(-3))*(-18)\/44?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - (16 + -25)) + 41 + (29 - 45)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.0594*11.74\nAnswer: -0.697356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18335*h**2*y**2 + 8*h*y**2 + 30*h + 18*y**2 - 2 wrt h.\nAnswer: -36670*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 864, 860, 852, 840, 824, 804?\nAnswer: 780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9219079 millilitres in litres?\nAnswer: 0.0009219079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 7, 5, -453, -39, 10.\nAnswer: -453, -39, -3, -1, 5, 7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/16 - (95\/(-8) + 654\/872). Solve r = 27*z - 31*z + 3*i, 8 = -5*z - 2*i for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -12*a - 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - j = -n - 3, 5 = 5*n + 5*j for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -12, -1 in decreasing order.\nAnswer: -1, -12, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - (-2 + (-1 - -3)). Which is smaller: t or -2\/53?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-161)\/140 + (-5)\/50\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/18 + 48\/189. Let g = 1.6 - -0.4. Which is the smallest value? (a) v (b) g (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*a - 3 = 0, -4 = h + 3*a + 14. Let f = 3 - 5. Sort -0.4, f, h in decreasing order.\nAnswer: -0.4, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cp when two letters picked without replacement from {c: 3, p: 11}.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -848380 or -11.2?\nAnswer: -11.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34669.12 tonnes to micrograms.\nAnswer: 34669120000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2 + 2 = 0. Let a be ((-4)\/5)\/(6\/(-10)). Let q = 3 + -8. What is the third biggest value in l, a, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 7 - 12)*(6 + 2*a - 14 - 3*a).\nAnswer: 11*a + 88","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5, 53, 185, 443, 869?\n\"Answer: 7*o**3 - o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 126 - 124. Suppose l + 1294 = p*i, 0 = -3*i + l - 2*l + 1951. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130929?\nAnswer: 3, 19, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**5\/2 + 240*t**4 - 15531*t**3\/2 - 147525*t**2 - 489114*t - 454140 = 0. What is t?\nAnswer: -10, -2, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8834.5 and 0.1.\nAnswer: 883.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254 = -r - 4*c - 237, -2*c = -2*r - r - 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -584146523 take away -0.19033?\nAnswer: -584146522.80967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 3*d**2 + 5*d - 2. Let l be k(4). Suppose -z + 6 = l*z. Let h(c) = 0*c**2 + 6*c**3 - 5 - 4*c**z - 3*c**3 - 3*c - 2*c**3. Determine h(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 9:29 PM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - (sqrt(187) + sqrt(187) + (sqrt(187) + (sqrt(187) + sqrt(187)*-2 + sqrt(187))*5 + sqrt(187) - sqrt(187))))*-4)\/((sqrt(77)*-2)\/sqrt(7)*-3).\nAnswer: 4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1818 = 35*n + 575 - 4252. Calculate the least common multiple of n and 3*2*(-4 + 5).\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2643 (base 8) to base 14\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - (-8)\/(-2)) + 319. Let j be (-2 - -2 - 0)\/2. Suppose j*i = -4*i + f. Is 12 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*l - 40 = 80 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 i, and 1 x when three letters picked without replacement from ooxoopxwoiooio?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/((-741)\/38)*8\/1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 69 + -68.4. Which is the smallest value? (a) -4 (b) -0.2 (c) n (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2233595, 4467191, 6700787, 8934383, 11167979, 13401575?\n\"Answer: 2233596*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/12*96533)\/((-2)\/(-8)). Let w = s - 4233. What is w rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.090216 - -0.490216. Let u = 0.4 - -2.6. Which is the nearest to -1\/4? (a) -0.5 (b) 4\/3 (c) r (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1735\/(-4)*2\/(-15). Let v = 247\/3 - t. What is the common denominator of v and 42\/11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22\/18 - (-1 - -2). Let q = 4.95 - 4. Let u = 0.55 - q. Which is the closest to 2\/3? (a) u (b) 3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3216 and 1968?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/(-42) - (-9)\/(27\/(-28))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 - (384 + -367).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16154505 by 12.\nAnswer: 5384835\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*a - 185 = 209, 0 = -2*g + 2*a + 198. Let y = g - 48. Calculate the remainder when y is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10002112 (base 3) to base 4\nAnswer: -203033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 2:05 AM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -9749 times 2441\nAnswer: -23797309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 113269195, 113269193, 113269191, 113269189?\n\"Answer: -2*m + 113269197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3 + 372*p**2 + 18399*p + 109536.\nAnswer: -3*(p - 163)*(p + 7)*(p + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jtcdkckkhccj. What is prob of sequence kcd?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*w = -42*w + 720 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 46*h - 203. Calculate l(6).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x + 29. What is the remainder when 98 is divided by h(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*u + 5*l, 0 = u - 2*l + 3 - 0. Suppose 0 = 606*h - 573*h - 1254. What is the lowest common multiple of u and h?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**4 - 4572*s**3 + 272004*s**2 + 4121212*s + 13236960 = 0 for s.\nAnswer: -1199, -8, -5, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 104 + -92. Suppose 0 = -91*q + 85*q - m. Let d(z) = z**2 + 3*z + 1. Determine d(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is ((50\/(-21))\/(-25))\/((-34)\/34)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -16.96. Let y = 23.087 + -23.487. Sort f, 1\/21, y in ascending order.\nAnswer: y, f, 1\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3406665 (base 7) in base 3?\nAnswer: -210110122220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*q - 48*q + 125*q = 161 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**4 - 2*j**4 + 4*j**3 + 3*j**4 - 8*j**4 - 8*j + 8*j + (0*j**2 + j**2 - 2*j**2)*(3*j**2 - 2*j**2 - 3*j**2) - 5*j**4 + 4*j**4 + 0*j**4.\nAnswer: -5*j**4 + 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30278, 59842, 89406, 118970, 148534?\nAnswer: 178098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 226070125 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*t = -5*i + 324, 4*t = 5*i - 402. Let g = i - 4. Is 13 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -4*l - 19, -2*z + 18 = 11*l - 15*l. Sort 5, 1894, l in decreasing order.\nAnswer: 1894, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(-6) - (11 - (-65)\/(-6))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 11, -4, -274, 13 in decreasing order.\nAnswer: 13, 11, 4, -4, -274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 195601871033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 617206 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -1993*x**3 + 7*x**2 + 2*x - 4. What is the units digit of n(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p*p**(-3\/8))\/p*p\/(p\/p**12))\/(((((p\/((p**(2\/5)\/p)\/p)*p)\/p)\/p)\/p)\/p)**(-40) assuming p is positive.\nAnswer: p**(-27\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 divided by 389?\nAnswer: 58\/389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 1 - (2 - 0)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -7658.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 - 41 - 104*n + 149 - 73 - 37.\nAnswer: -104*n - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 108 + 22 = 3*i, 2*f - i - 41 = 0. Suppose 650 = -f*g + 12311. List the prime factors of g.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8294809?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -995.154 or 5\/152?\nAnswer: -995.154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iishizpbsibis. What is prob of picking 2 s and 1 b?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 816.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 353, 752, 1183, 1646, 2141, 2668, 3227?\n\"Answer: 16*f**2 + 351*f - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i + 3*i + 0*i**2 - 3*i**3 - 6 - 3*i - 2*i**2 to p + s*i**3 + h*i**2 + a*i and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -311.2, 3, 0.1, -7, -3, -0.3 in increasing order.\nAnswer: -311.2, -7, -3, -0.3, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1*4*(sqrt(2057) + (3*sqrt(2057) - sqrt(2057))) - (4 + sqrt(2057)*-1 + -5 + 1))**2.\nAnswer: -858*sqrt(17) + 347642","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -0*b + 3*b - 9, -5*q + 12 = 4*b. Let p be 4 - ((q - 1858) + 2). Let t = p - 167. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 0*t. Factor -o**2 - 3*o + t + 2 - 4.\nAnswer: -(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1139 - -1138.93658. Let i = y - -0.063. Round i to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, -0.07, 0.5, 1\/5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (12\/33)\/(4\/14) and 32\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*d**2 - 5*d + 5*d - 3*d**2.\nAnswer: -22*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51\/182 - 1\/182. Let l = -0.1 - -0.3. Let b = 15114.5 + -15114. What is the closest to -2 in l, a, b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -23*p + 10. Suppose g - 79 = -4*u - 34, 30 = u + 4*g. What is the lowest common multiple of u and y(-7)?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1115 divided by 6?\nAnswer: 1115\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3*x - 49 - 114 = 0, 0 = -3*l - 5*x + 136. Let s = l - 24. Suppose -s = 5*c - 73. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 210200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 319, 633, 947?\nAnswer: 1261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 16. Suppose 4*u = q*m + 16, -2*m = 3*u + 3 + 8. Which is bigger: 1\/9 or u?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 10:56 PM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -s**4\/2 + 16*s**3 + 5*s**2\/2 + 58. What is the second derivative of z(r) wrt r?\nAnswer: -12*r + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 529439 is divided by 264690.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -242a81 - 10?\nAnswer: -242a91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, o: 2, n: 4, w: 8, s: 1}. What is prob of picking 1 s and 1 p?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1330 and 663271.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5760)*2)\/sqrt(8)*-6.\nAnswer: -144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 123, 139, 217, 387, 679, 1123?\n\"Answer: 5*a**3 + a**2 - 22*a + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 2*n - 899, -935 = -2*n + 3*q - 28. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 6 = q. Let i = -1 + q. Suppose 3*d - 5*d = -i. Which is greater: 1\/3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-10)*14805\/(-1692)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -238 and -2971322.9.\nAnswer: -2971560.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-90)\/(-135))\/(16\/(-6)) - (-51337)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 4*w + 14, 0*w + 12 = 4*t - 4*w. Let y be (2 + -4)\/(-2 - t). Is -1 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -143*t**2 + 19*t + 42. What is g(-2)?\nAnswer: -568","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 4\/23 + 2\/23*s - 2\/23*s**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -118*b - 1. Is o(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 100 and 107560?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j + 365 = -7*j - 3*k, 289 = 4*j - 3*k. Is j even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 560290*p**3 - 1120749*p**3 + 560024*p**3.\nAnswer: -435*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 4*o**2 - 2*o + 3. Let j be a(-4). Suppose -x + 2*x - j = 0. What is the smallest common multiple of 9 and x?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 5*l + 58, -21 = -3*l - 6. Suppose -52 - 80 = -x*r. Calculate the remainder when r is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 10364480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 9:10 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 + d - d)*((-3 - 2 - 1)*(-9 - 300*d + 302*d - 3) + 2*d + d - 2*d + 3 + 2*d - 3 + (-3 + 4 - 2)*(-5*d + 2*d + 2*d)).\nAnswer: 16*d**3 - 144*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -1722 + 1743 - 17*j - 50*j as b + u*j and give b.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 1157?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 27.9 (b) 0 (c) 2\/17 (d) 2\/13 (e) 1 (f) 4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2 + (1 - 2 - 1)*(1 + 2 - 1) - 14 - 2 + 26)*(3*p**3 + 2*p**3 - 2*p**3)*(-26 - 9 - 43).\nAnswer: -936*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 7247178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/168)\/((-3)\/105).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 659 is divided by 174?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2444\/516249?\nAnswer: 2444\/516249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1570*0.1.\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -101 and -101 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 1. Let o be 9\/12 + (-2)\/(-8). Let r = o + -3. Let v(h) = -h**2 - 3. Let w(l) = r*v(l) + 4*i(l). Factor w(g).\nAnswer: -2*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 55 = -3*z - 32, -5*z = -t - 27 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-15))\/((-12)\/10). Let p = 2443 - 2438. Which is the fourth biggest value? (a) -5 (b) -3\/5 (c) p (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b**3\/8 - 5*b**2\/4 - 127*b\/8 + 17 = 0. Calculate b.\nAnswer: -8, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**11*u*u**(-14))\/(u\/(u*u\/(u*u*u**7))*u\/u**(-24)))**15 assuming u is positive.\nAnswer: u**(-525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -2afdfa?\nAnswer: -2afdf5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55 + 3*y**2 + 294*y - 4*y**2 - 2*y**3 + 239*y**5 + 241 + 291*y - 586*y wrt y?\nAnswer: 4780*y**3 - 12*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -3*c**4\/2 + 3*c**3 - 3. Find the third derivative of i(m) wrt m.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 7. Let d be u\/(-1)*5\/15. Let h = -4.4 + 0.4. Which is the smallest value? (a) 2\/15 (b) d (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + (-42)\/38 - (-42)\/21. Which is the second biggest value? (a) 116 (b) -0.2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 m, and 1 k when four letters picked without replacement from ckpmmpppcppkmpccckc.\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/5*(0 - 1). Suppose -z + h*z + 7 = 5*y, -5*z + 4*y - 52 = 0. Let q = 13 + z. Solve 1 + 14 = q*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1153981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46*(435\/522)\/(2\/6*5)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) 5\/3 (b) -2\/13 (c) -3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-109042)\/5)\/((-214)\/535) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87017 + 1517*i - 1517*i + 2*i**3 + 87064.\nAnswer: 2*i**3 + 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1051385 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -22*c**3\/3 - 171. Let w(o) = 11*o. Calculate n(w(g)).\nAnswer: -2662*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3240101 to the power of 1\/4, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hecqzqhzlehq. Give prob of sequence elcq.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7841 - -7841.4. Which is the third smallest value? (a) r (b) -4 (c) -5 (d) 806 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = n + 2, 17 = -x - 0*n + 5*n. Let s(j) = -j + j**2 - x - 5 + 4. Suppose -2*f = -4*f, -2*q = f - 8. Determine s(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147239929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6038.09 rounded to the nearest 100?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*12\/(-198) + 0\/(-1). Let r be 141\/45 - (-1)\/(-3). Let q = 16\/5 - r. Which is the second smallest value? (a) h (b) q (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 9. Let q = t + 26. Let n(j) = -j**3 + 12*j**2 + 2*j - 19. Let s be n(12). Calculate the greatest common divisor of q and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/55 (b) -1\/6 (c) -10\/19 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49 + 145. Does 24 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.9441 + 1.5441. What is the second biggest value in -0.3, v, 5, 0.05, -0.83?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11252.59mm to nanometers.\nAnswer: 11252590000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 137048?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 520525 is divided by 464?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2059, -2524, -2989, -3454, -3919, -4384?\n\"Answer: -465*q - 1594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7402096 and 608.\nAnswer: 14804192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 39 + 33 = 0. Which is the third smallest value? (a) -0.3 (b) l (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38133, 76253, 114349, 152409, 190421, 228373, 266253?\nAnswer: 304049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**3 - 2*v**2 - v. Let a(q) be the second derivative of -q**5\/20 + q**4\/12 + q. What is 5*a(i) + 2*w(i)?\nAnswer: i**3 + i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xjwp when four letters picked without replacement from xpawpjpwwxp.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266*p + 178*p + 241*p.\nAnswer: 685*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/((-126)\/(-7)))\/(-4)*-8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 2*x + 4*n, 5*x - n + 56 - 202 = 0. Let g = x + -16. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15ab3273 + -2?\nAnswer: 15ab3271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23667 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 - 29. Suppose -n*g = -25 + 4. Let v(k) = -k + 4. Give v(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -108*y - 74. Determine h(3).\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*v = -181*v + 6 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376 is divided by 96?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 2*c. Let g be l(2). Suppose 0 = -g*b - b. Suppose b = f + f - 42. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*y + 4*y. Calculate the greatest common divisor of 49 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (3 - (2 + 2 - 2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1302051317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-78) + 181665\/12870.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -61 + 89. Let j = 7 - s. Let x = -21.007 - j. What is x rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1224941 less than -1224950?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 12246?\nAnswer: 24492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5109, 5507, 5907, 6309?\n\"Answer: q**2 + 395*q + 4713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - j + 4. Suppose c = 3*c. Determine p(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((-12 - -10) + 19)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 177852.\nAnswer: 1\/59284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2)\/(i\/(i*i\/i**5)))\/((((i*i*i\/i**(-1\/5))\/i)\/i*i)\/i**(-4)))\/((i**(2\/3))**(-6\/7)*(i**(-1))**(-35\/6)) assuming i is positive.\nAnswer: i**(-3667\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 115459?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 5*p - 36, 0 = 3*p + g - 0*g - 15. Suppose p*m + 12 + 12 = 0. What is the fourth smallest value in 4, 83, m, 0.2?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53234 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2418.9 + 30\nAnswer: 2448.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b + 252 - 1854 - 56 to a + z*b and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 79 = -2*h, -19 = -n - 3*h - 2. Calculate the remainder when n is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 602274903?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*2*sqrt(77))\/(sqrt(7) + (sqrt(7) - 3*sqrt(28)))*-3)**2.\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/5, 2\/427 in ascending order.\nAnswer: 2\/427, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.064*-0.4.\nAnswer: -0.0256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -34*y**2 - 1802*y - 6. Calculate d(-53).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.2141173 + 2.214. Round j to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/(-54)*(-8)\/4)\/(11\/363)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 31 = 7*y - 4*k, 5*y + 4*k - 9 = 0. Solve 0 = s - 6*s + y for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*z + 2808, 8*l - 3*z - 11283 = 4*l. Let b = -1518 + l. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 4 + -3 + 2)*0. Solve 0*s + 12 = s + 4*b, t = -4*b + 12 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 23*l**2. Let x(j) = -353196*j**2. What is x(o(q))?\nAnswer: -186840684*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**3)\/((m\/((m\/(m\/((m**0*m)\/m)))\/m))\/m))**35\/((m**(-3\/4)*m\/(m\/m**(3\/5)*m))\/(m**6*((m\/(m*m**3*m))\/m)\/m)) assuming m is positive.\nAnswer: m**(2123\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1753 = -17*s + 18*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*d - 89 + 34 = -85*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-14) - (40816\/28)\/4. Let c = w - -522. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 56*q**2 + 53*q + 228. What is k(57)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 66618061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-9)\/(-24)) - 4. What is the nearest to 0 in -3\/4, y, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1757.1284 rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -28335.65 take away 314280?\nAnswer: -342615.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -3*o**3 + o**2 - 4*o + 7684. Determine q(-2).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o - 7*o + 12 = 4*v, 5*o + 2*v = -15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -5*f**4\/18 + 14*f**3\/27 + 8*f**2\/9 - 8*f\/9 + 19. Let j(m) = 0. What is m?\nAnswer: -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 70\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 4*b - 848, -20*b + 4*s + 376 = -18*b. What is the remainder when b is divided by 142?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrl when four letters picked without replacement from {l: 15, r: 5}.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5539364\/199 - (1 + 4 + -7) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23350212.\nAnswer: 2, 3, 648617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is 402338 <= 402341?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 0.017, -0.2, -6\/31?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 592461 and 378.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 8*j**3 + 2*j**2. Let y(g) = -17*g + 115. Let m be y(7). Let t(z) = 81*z**3 + 21*z**2. What is m*t(p) + 42*u(p)?\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-12) - 6\/72?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(66) + sqrt(66)*2)*-3 + sqrt(66)))\/((sqrt(216)\/sqrt(4))\/sqrt(9) - (sqrt(6) - 1*sqrt(6)*-1)).\nAnswer: 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {z: 3, v: 1, x: 7, u: 1, b: 1}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of 875*r**4\/12 + 152*r**2 + r + 719. Differentiate s(d) wrt d.\nAnswer: 1750*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002619348 rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -89046.44 and 0.2?\nAnswer: -17809.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*q + 17*q. Suppose z + 147 = 2*k - 2*z, -z + 3 = 0. Suppose 2*u = -q*u + k. What are the prime factors of u?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from hccch?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1303223 (base 5) to base 7.\nAnswer: -134110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u. Let k(x) = -410*x + 9665. Determine p(k(b)).\nAnswer: -820*b + 19330","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -171? (a) -2 (b) -8 (c) 4 (d) -1\/186 (e) -36\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -3, 3*r - 2*n - 2*n + 3*n = 14 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 7*f**2\/2 - 9*f - 4. Let k be z(5). Solve 4*a - 5 = -4*r - 1, 4*r - 2*a = -k for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139316 = -10*r - 3516. Suppose 0 = 5*m - 33*m + r. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.048 (b) -47 (c) -0.3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/5 - 6\/(-15). Find the common denominator of ((-42)\/(-9))\/(1\/u) and ((-2)\/(-24))\/((-2090)\/(-49400)).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7345*h*o**2 + 7*h + o**2 + 5037*o + 2 wrt h.\nAnswer: 7345*o**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00647079 to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t - 3. Let y be a(-8). Let u be (-1)\/(y\/(-9) + 2). Solve 2*b + u*i + i = 2, 2*b = -3*i for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 0 (c) -3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.283245 rounded to three decimal places?\nAnswer: -0.283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/20280 and 65\/16.\nAnswer: 40560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 3*s = -639. Let g = -128 - s. List the prime factors of g.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/3 + 1655*r**3\/3 + 680594*r**2\/3 - 3454460*r\/3 - 1377800.\nAnswer: (r - 6)*(r + 1)*(r + 830)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (434106\/32156)\/(((-1)\/5)\/(4\/10))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (2 - (-66)\/(-15)). Let y = 13 + -12. Is s smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43478384?\nAnswer: 2, 17, 19, 47, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2225015 greater than or equal to 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 + 147 - (99 - 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 16, -53, -2, 20, -23 in descending order.\nAnswer: 20, 16, 3, -2, -23, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -165 by 497905.\nAnswer: -33\/99581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.099 + -17601.669\nAnswer: -17601.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -11 + -8 - -15?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13808471?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/(-10)*120\/72. Suppose 0*s = a*l - 2*s - 111006, -3*l - 5*s + 110985 = 0. Round l to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6916 + -180\nAnswer: -7096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 23 + 245 = 0. Calculate the remainder when x is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 15*q**2 + 37*q - 52. Give o(17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -325*n**2 - 168*n + 288227.\nAnswer: -650*n - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -60 + -19?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -7*p**2 - 288*p - 1129. Give t(-4).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*w + 104 = -107*w. Solve 0 = -s + 6*s + 3*d + w, -3*s = -3*d + 27 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65055026?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -104*d**2 - 2*d - 2. Let j(m) = -1. Calculate 2*j(u) - z(u).\nAnswer: 104*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(448) + -4)**2*-4)*6.\nAnswer: -11124 + 1536*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v - 71*t + 33*t = -36*t + 98, 5*v = 4*t + 66 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202 + -1100?\nAnswer: -2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1759940 divided by 130\nAnswer: -13538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s + 135419 = -11*s + 135377 for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - 26. Calculate the common denominator of 4\/33 and ((-32)\/33 + 1)\/(c\/(-46)).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zlw when three letters picked without replacement from {w: 1, e: 1, t: 1, x: 2, l: 1, z: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 11:38 PM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37015)\/59224 - (-147)\/(-8).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -1. Let g = 3 + -10. Let u be ((-6)\/(-8))\/(g\/28). What is the nearest to -0.1 in u, 0.5, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14512205 (base 6) to base 8.\nAnswer: 1736555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-4 + 1 - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j, 0*x - 3*x - j = 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*v - 4 = 0, 2*y - 3*y + 2*v = -4. Suppose y*d = -d + 35. What is the remainder when 19 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d. Let b(r) = 33341985*r + 3. Determine b(q(y)).\nAnswer: 66683970*y + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 0, 9, -5 in descending order.\nAnswer: 9, 0, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8336 divided by -2084?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-6))\/(-3*16\/72)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(245) + 1 + sqrt(245) + 2 + 2 - (3*sqrt(35)*-4)\/(sqrt(7) - sqrt(1575)))**2.\nAnswer: 1472*sqrt(5)\/7 + 45456\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2*a**2 + 0 + (7 - 2 + 7*a**2 - a - 3)*(-6603 + 13332 - 6150) to the form r*a + u + c*a**2 and give r.\nAnswer: -579","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 + -30. Let q be n*(0 - (-2)\/4). Suppose -l = -q*v + 2*l + 255, -2*l - 8 = 0. What is the greatest common factor of v and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*v - 1. Determine j so that 4*j**3 - v*j**4 + 5*j**5 + 11*j**4 - j**5 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5f - 14?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000882374 to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of 1\/2*q**4 - 6*q**3 + 2*q**2 - 1\/60*q**5 + 0 + 0*q. Solve a(d) = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 38\/532 - 149103\/42. Let u = -1917 - b. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 10*v + 11. Let q be w(9). Let x be (8\/q + -1)*1. Let y(f) = f + 1. Let t be y(x). Solve -t - 6 = 2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 567 (base 16) to base 7.\nAnswer: 4014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 31659 or 31661?\nAnswer: 31661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 17, 2495, 1\/36, -2?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 - 2310010212011?\nAnswer: -2310010211323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 240*m - 4422. List the prime factors of j(28).\nAnswer: 2, 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -129*w**3 - w**2 + w + 1. Suppose 0 = 17*r + 23 + 11. What is the units digit of f(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16.6 - -17. Let b = 0.19 + -0.13. What is the biggest value in b, x, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*x + 100*r - 1 = 103*r, -50 = 5*x + 4*r. Let u(k) = k + 1. Let t be u(5). Let b = -1 + t. Solve -x*m + 12 = -b*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*g**4\/15 + 1198*g**3\/5 - 46066*g**2\/15 + 18098*g\/5 - 11836\/15 = 0. What is g?\nAnswer: -269, 2\/7, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 300, 1\/3, 472?\nAnswer: 472","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-135)\/(-18)*16\/6. Solve 3*w = -3*x + d - 2, -5*x = -5*w - 20 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 9, a: 1, c: 1}. What is prob of picking 1 a and 1 l?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-2\/11)\/c*c))\/(c*(c\/((c*c**(-2\/21)*c)\/c*c))\/c)*(c*c**(-1\/2)\/c)**38 assuming c is positive.\nAnswer: c**(-3907\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 4*a - 730 + 20 = 0, 0 = a + 5. Let x = 557 + k. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 14*t**2 - 4*t + 5*t + 34 - t**3 + 0*t. Let q be z(14). Which is the closest to 1\/2? (a) q (b) -2\/3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 9, o: 2, x: 1, a: 4, w: 4}. Give prob of picking 1 a, 2 w, and 1 x.\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0544 - 235664884499?\nAnswer: -235664884498.9456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -3*g**4\/4 + 22*g**3 + 6*g**2 - 264*g - 296. Let r(t) = 0. What is t?\nAnswer: -2, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 2. Let p(i) = -6*i**2 - 10. Let j(k) = 3*p(k) - 15*v(k). Let n(h) = -20*h. Let d(o) = -o. Let w(a) = -25*d(a) + n(a). Give j(w(z)).\nAnswer: -75*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of d**7\/56 + 11*d**6\/40 - 63*d**5\/40 + d**4\/4 + 7*d**3 + 135*d - 4. Solve w(n) = 0.\nAnswer: -14, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1335296250?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -7*u - 3*k - 79, -5*u + 21 - 2 = -3*k for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.62 + -0.22. What is the second smallest value in q, -2\/13, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 0 = -3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40595 = 20*m + 9915. Suppose -636 = -7*d + m. Round d to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*5*(sqrt(190) + sqrt(190) + (-1*sqrt(190) - sqrt(190))))\/(1*sqrt(1210)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 5*j - 3 + 4, -5*g - 10 = 0. Let t = 48 - 42. What is the least common multiple of t and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*n + 3*n. What are the prime factors of n\/4 - (-26)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2214 and 2857208?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -5 + -6 + 25\/12.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14952 + 14956. Let m(q) = q + 20. Let v(g) = 20. Let x(p) = 5*m(p) - 6*v(p). Calculate x(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 457199058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4*q + 18. Let h(t) = 25466 + t - 25466. Calculate h(u(r)).\nAnswer: -4*r + 18","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m - 5. Let s = 3 - -1. Let x be 10\/(-1 - s - -3). Let d be n(x). Solve -2*h = -o + d, 0 = -5*h + 3*h - 4*o for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10703011.\nAnswer: 11, 973001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 56233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2 + 31*d - 7. Let z(p) = -p**2 - 16*p + 5. Let c(h) = 6*g(h) + 11*z(h). Give c(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -2\/111, -2, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 203 - 255. Let o = t + 252. What is the greatest common factor of 160 and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 1.1. Let n be 1 + 15\/(-10) + 0. What is the closest to -0.2 in v, 2, n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58 - 54. Sort -0.5, -1\/52, k in decreasing order.\nAnswer: k, -1\/52, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70500 and 600.\nAnswer: 141000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -9.0035. Round j to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r**3 - 5*r**3 + 4*r**3)*(1 + 8 + 1)*(-2 + 3 - 3).\nAnswer: -80*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -720 - -1.1.\nAnswer: -718.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a - 4. Give f(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81604 is divided by 2398?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4\/7 + 8*d**3 + 50*d**2\/7 - 108*d\/7.\nAnswer: 2*d*(d - 1)*(d + 2)*(d + 27)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19260 is divided by 103.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 13*t**3 - 9*t**2 + 7*t + 5. Let y(q) = q**3 - 2*q**2 + q + 2. Determine o(g) - 3*y(g).\nAnswer: 10*g**3 - 3*g**2 + 4*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -51 + 3. Let h = 44 - i. Let o(x) = x**3 + 4*x**2 + x - 1. Calculate o(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 137 and -9.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -284082091 divided by 1.\nAnswer: -284082091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**2 - 4*r. Let f(i) = i**2 + i. Let y = 4917 - 4922. Calculate y*s(x) - 20*f(x).\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 254781302 to the nearest integer?\nAnswer: 15962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2\/(-9) - -43*(-265)\/(-45)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 7*k**2 + 2*k + 1. Let i be m(-1). Let q be i + -3 + 1 - 0. Suppose -4*p + 3*v = 6, -q*v = -4*p - 9*v + 10. Is p bigger than -2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114, 152, 190?\nAnswer: 228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n - n + 15 = -15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (40\/102)\/(-10)*3\/1\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 17. What is the closest to 0.1 in -3, -12, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70 - -21\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 1c7186?\nAnswer: -1c7182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*w + 128*w = -30 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or -28591?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 371 in -2\/7, -38, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2 + sqrt(363) - (1 + 1*sqrt(363)) - (sqrt(192) - (sqrt(192) + 2) - (sqrt(3) + 6*sqrt(192) + sqrt(3) - sqrt(3))))**2.\nAnswer: 7203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.23 - -0.26. Which is the biggest value? (a) 1\/7 (b) 0.3 (c) -2\/3 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18888, -75637, -170324, -303027, -473824, -682793?\nAnswer: -930012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -108, -7 in ascending order.\nAnswer: -108, -7, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(-i - i + 3*i + 3 + i - 3 + (4*i - 2*i - 4*i)*(-1 + 2 - 3) + 3*i - 4*i + 0*i).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 z when two letters picked without replacement from jjjjzjjjz.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 453 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2432 (base 8) to base 15.\nAnswer: -5c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 923 divided by 768.\nAnswer: 923\/768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 523.2377ng?\nAnswer: 0.0000000000005232377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.41 + -0.81. What is the third smallest value in -1\/5, d, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-2))\/(165\/945) + -20?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 6:05 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*i + 3*i + 2*i**2 - 2*i**3 + 2*i in the form s + j*i**2 + y*i**3 + b*i and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-8)*40\/(-30))\/(-24)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -3.9, 68, -0.3 in decreasing order.\nAnswer: 68, 30, -0.3, -3.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3479530129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 7294 = 4*g, -3*r - 504 = -4*g + 6791. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**4\/12 + 7*a**3\/6 - a**2\/2 - 2845*a. Let l(b) = -3*b. Suppose y = 5 - 0. Give y*l(m) + 2*j(m).\nAnswer: 2*m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (-186)\/(-279)*2\/4. Let p(j) be the first derivative of m*j**3 + 0*j - 2 + 1\/2*j**2. Determine p(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12 - 2*o - 3 - 38 + 11*o - 6*o + 31*o + o - 5 + 5 + 0*o + o + o + (-4 + 2*o + 4)*(-1 + 0 - 1) - 3*o + 0*o + 2*o.\nAnswer: 32*o - 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -30745 - -544?\nAnswer: -30201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v - 4*v + v)*(3*v**2 + v**2 - 5*v**2) + (-v**2 + v**2 + 2*v**2)*(-v + v + v) + 115 - 115 + 3*v**2 - 5*v**3.\nAnswer: 4*v**3 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1417 a factor of 68325838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1214498195 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i - 2 + 0 + 3. Let c(l) = -l**2 + 11*l + 8. Let w be c(12). What is r(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/1338 and (712\/(-192))\/(27\/36).\nAnswer: 4014","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/6*(-7869)\/15. Let r = n - 1353. What is the common denominator of -59\/18 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mdolnmdlddljlll. Give prob of sequence jd.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1535 + -1531. Solve 2*h - 4 = 3*x, -z*h + 4 = -4*x - 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 18*m + 45. Let f be v(20). Let i(t) = 33 - 6*t + f*t + t - 4*t. Let n be i(7). Solve -4*a = -n*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-4)*8\/2*6. Let r be (-3)\/36*-9 - g\/(-8). Which is smaller: r or -2\/39?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/27618 and -46\/32221.\nAnswer: 193326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9877841 is divided by 150.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 557706644 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (-616)\/(-12) - (-1)\/3. Let a = -47 - 181. Let u = f - a. List the prime factors of u.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 + 4 = -2*y. Let c be (-1)\/(-5) - (-18)\/10. Suppose -4*s = -c - 42. What is the remainder when y is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuiuufufuuuffffuuu. Give prob of picking 2 f and 1 u.\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 433922, 867744, 1301566, 1735388?\n\"Answer: 433822*w + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v\/((v\/((v\/((v**(-7)*v)\/v*v))\/v)*v)\/v))))\/v**(2\/11)*(v**2)**(-38))**(-3\/29) assuming v is positive.\nAnswer: v**(2316\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 918.4409ug to tonnes.\nAnswer: 0.0000000009184409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**3 + 13*l**2 + 3*l + 2. Let z be k(-6). Solve -3*u + 0*u - z = -2*w, 5*u - 2*w + 28 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5506?\nAnswer: 2, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*f**3*m**2 + 6*f**3*m - 7*f**2*m**2 - f*m**2 + 10*f*m - 3*f wrt f?\nAnswer: 90*f*m**2 + 36*f*m - 14*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 358 - 338. Calculate the common denominator of -19\/8 and (-1)\/(-105) - u\/(-100).\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/27 + (-3760)\/(-9). Suppose -4*f = -p + 70. List the prime factors of f.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50267*i**3 - 50260*i**3 + 100521*i**3.\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/6)\/((-2)\/(-36)). Let q(m) = m**4 + m**3 - m**2 + m. Let g(v) = v**3 + v**2 - 1. Let b(s) = k*g(s) - 3*q(s). Factor b(h).\nAnswer: -3*(h - 2)*(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -5*o**2 - 3625*o + 63070 = 0.\nAnswer: -742, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -50750, 3, -4045 in descending order.\nAnswer: 3, -4045, -50750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 10*h**2 + 9*h + 7. Suppose 63 = 6*w - 3. Let i be t(w). Let b be ((-4)\/i)\/((-4)\/(-12)). Put b, -2, 1\/2, -3\/2 in descending order.\nAnswer: b, 1\/2, -3\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -90514443 - -90514444.32000122. Let n = f - 1.32. Round n to 7 decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/5 - 131*r**2\/5 + 259*r\/5 - 129\/5.\nAnswer: (r - 129)*(r - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = z - 1, 7*n + z + 43 = 19*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -25933 or -25932?\nAnswer: -25932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bahhabbhbhbbb. Give prob of picking 2 b and 1 h.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**3\/5 + 14044*g**2\/5 + 70181*g\/5 - 196546\/5 = 0.\nAnswer: -14039, -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.2, 4, -2 in increasing order.\nAnswer: -2, -0.3, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y - 32*y**2 + 2*y + 293*y**2 - 37*y**2 - 238*y**2.\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 13289185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3136.332 - 3140. Round o to two dps.\nAnswer: -3.67","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + -1*(-1 - 7042). Let j be 1 + 2 - -1*k. Suppose -4*d - 21352 = j. What is d rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - 3*o**2 - 2*o**2)*(5 - 2 - 2 + (-4 - 2 + 5)*(3 - 5 + 3) - 2 - 2 + 6) - o**2 + 0 + 0.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.737 - -8.637. Let q be (-2)\/2*2\/(-178). Let o = q + 353\/267. Which is the third smallest value? (a) f (b) o (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13 - 1 + 5)*(5 + w**2 - 2 - 1) to the form s + l*w**2 + i*w and give s.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r - 1. Let s(c) = -9*c**3 - c + 2 + 1 + 10*c**3 + 7*c**2 + 0. Let k be s(-7). Let j = k + -12. Let b(u) = -6*u + 3. What is j*b(o) - 7*y(o)?\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -651299\/188?\nAnswer: -651299\/188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-323)\/(-25) - (-18 - -32)) + 1?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**12))\/((y**(-10)\/y)\/y))\/(y**(-4\/7)*y*y**(-4\/11)) assuming y is positive.\nAnswer: y**(1843\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - (-5 - -2)) + 38\/(-14). Which is the nearest to f? (a) -3\/4 (b) -0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19946\/493 + -1030\/29. Let g = f + -386\/85. Factor 8\/5*k**3 - g - 12\/5*k**2 - 2\/5*k**4 + 8\/5*k.\nAnswer: -2*(k - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 39 = -3*a - 105, 2*k + 2*a = 64. Put -2, k, 2, 3 in descending order.\nAnswer: k, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 12:27 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 4:31 PM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 248 - 150. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1210334422 (base 5) to base 9\nAnswer: -5274260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*f*g**3 + f*g - f + 2*g**4 - 15*g**3 + 343*g wrt g?\nAnswer: 102*f*g + 24*g**2 - 90*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9144458 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide -163*(3 + -4)*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31944053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96 divided by 48.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 93, 0, -16, 4, 15 in decreasing order.\nAnswer: 93, 15, 4, 0, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 633\/(-35) + 0\/(-1). Let y = q - -89\/5. Which is the closest to y? (a) 2\/13 (b) -1\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k + 2*k - k + (2 + 3 - 3)*(-14*k - k - 5*k) + (-4 - 1 - 3)*(-2*k + 4*k - k) in the form g + w*k and give w.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*(80\/(-12))\/4. Suppose 3 - h = 2*k. Is (-24)\/(-8) + k + 77 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 15 - 29. Suppose -4*j + w + 13 = -2*a, 76 = -3*a - 4*j. What are the prime factors of -1 - a - (3 + -2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175875 divided by 7.\nAnswer: 25125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 630004274 to the nearest integer?\nAnswer: 25100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5732472 divided by 5732472?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k\/(k*k**(-3)))\/k*k)*k)**4*k*k**(-8)\/k*k**(-2\/11) assuming k is positive.\nAnswer: k**(-134\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3396?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - ((-192 - -110) + 10).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09*-70483.\nAnswer: 6343.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30707108 divided by 2.\nAnswer: -15353554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (6\/7)\/(13\/91) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11417 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pmmmpqpqpqqp. Give prob of picking 1 p and 3 q.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 2*h**2 - 2*h - 2. Let g be o(-3). Suppose -7*n - 12 = -3*n. Let p = -331 + 316. Put g, n, p in decreasing order.\nAnswer: n, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/21*595\/170. Which is the nearest to g? (a) -3\/14 (b) 11 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.79 + -0.09. Let t = -1.6 + z. Let a = 0.09999993 - t. What is a rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/(-27) + 1\/3. Let o = 3.3 - 0.3. Which is the closest to -2\/9? (a) 1 (b) v (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 4*g**4\/9 - 94*g**3\/9 + 80*g**2 - 1664*g\/9 - 1024\/9 = 0.\nAnswer: -1\/2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*w**4 - 11*w**4 - 3*w**5 + 1 - 3*w**5 - 1 + (-2*w**2 + 2*w**5 + 2*w**2)*(-3 - 1 + 3).\nAnswer: -8*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 5*k**2 + 5*k - 1. Let x be i(-4). Let g be ((-5)\/(-5))\/((-2)\/(-16)). Let z = x + g. Sort 0, z, 2 in ascending order.\nAnswer: 0, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 285.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*2979.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6622 by 14040.\nAnswer: -3311\/7020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9517, 9519, 9521, 9523, 9525?\n\"Answer: 2*p + 9515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/(-35 - -21 - -13)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17306 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(4 + sqrt(242) + 0 + sqrt(242)) + 4 + 5 + -2*sqrt(242))**2.\nAnswer: 748*sqrt(2) + 1257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, s: 6, b: 2, h: 4, z: 1}. What is prob of sequence abss?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + 2 - (-3)\/(-3). Suppose -c + 41 = 4*z, -c = 3*z - u*c - 45. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and -5552.\nAnswer: -5547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i**4 + 3*i**4 + 2*i**3 + i + 2*i**4 - 6*i**3 to t*i + l + c*i**4 + g*i**2 + d*i**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 + 77 = 9*s. Suppose -22*d + 5*m = -17*d - 850, -4*m = -s. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/(135\/(-15804)) - 2\/30 is divided by 113?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-5)*(-30)\/12. Suppose -3*k = -2*s - 9, 3*k = -v*s + 16 + 11. Factor 2*p**4 + 2*p**s + 2\/3*p**5 + 0 + 2\/3*p**2 + 0*p.\nAnswer: 2*p**2*(p + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 358 * -218.869.\nAnswer: -78355.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 19584, 78211, 175916, 312693, 488536, 703439, 957396?\n\"Answer: -x**3 + 19545*x**2 - x + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-3 - (4 - 9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -213606 - -213608. Factor -2\/9*g - 58\/9*g**r + 0.\nAnswer: -2*g*(29*g + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 + 3)*(930 - 44*z - 930) in the form n + j*z and give j.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 44 - 239*o - 1 + 186*o. Is 56 a factor of v(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 - 36. Let d = -4058516.0000004 + 4058515. Let i = d - o. Round i to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37717919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 2 - (-1)\/(-1). Let w be (u - 432)*-1 - 1. What is w rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, i: 2, t: 2, j: 8}. What is prob of sequence tij?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**3 + 0*v - v - 10*v**3.\nAnswer: -8*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - i - 25 = 0, -5*i + 1944 = 3*g + 1952. What is the remainder when 9296 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**5 + 4*c**5 - c**5)*(4 + 9 + 5).\nAnswer: 36*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1262, -19, -2, 7, 14, -4.\nAnswer: -19, -4, -2, 7, 14, 1262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 60, 165, 318, 519, 768, 1065?\nAnswer: 1410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, f: 3, u: 2, p: 1, d: 4}. What is prob of picking 1 d, 1 s, 1 u, and 1 f?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9 - 4 - (2 - 2). Suppose 12 = -4*s - r*n, 10 = -5*s - n - 26. Let y = 2 - 3. Sort 0.1, s, y in descending order.\nAnswer: 0.1, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 7 = -5*t. Suppose i = 2*i + t*k + 4, -i - 4*k - 8 = 0. Solve i = -0*y + 5*y - 5*s + 5, 2*s = -3*y + 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.3, 0.4, 0.038, 6.\nAnswer: 0.038, 0.4, 1.3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 2*g + 2*g)*(0 + 3 + 1)*(-15 - 4 + 29) + (-g + g - 2*g)*(4 - 4 + 2) + 6 + 2*g - 6.\nAnswer: 78*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h + 4. Let z be s(0). Let u(q) = 6*q - 71. Let d be u(11). Sort z, -7, d.\nAnswer: -7, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 567 divide 1765223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2*i + 722*i**3 - i**4 - 723*i**3 + 4*i in the form j*i**2 + u*i + v + x*i**3 + w*i**4 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 565339352 to the nearest integer?\nAnswer: 23777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 4)*(0*z**2 + 0*z**2 - z**4) + 2*z**3 + 7*z**4 - 14*z**4 + 8*z**4.\nAnswer: 3*z**4 + 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 3*o**2 - o + 1 + 0 + 5*o**2 - 8*o**2. Let s(z) = 15*z**2 - 25*z + 25. Give 50*k(h) - 2*s(h).\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 294 - 25*t**2 - 294 in the form l + r*t**2 + h*t and give r.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 - 0.3. Let y = n - -0.4. Let c = -0.40016 + y. Round c to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j. Let n(m) = 752784*m. What is b(n(a))?\nAnswer: 752784*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 309 by 1.\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__div_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 j(z) = 2*z + 8. Let d be j(-2). Let q(y) = -2*y**3 + 2*y**2 - 7*y + 17. Let p be q(2). Which is the third biggest value? (a) 2\/29 (b) d (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1549905 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**4 + o - o + 198*o**2 - 433*o**4 - 198*o**2 + (0*o - o**2 + 0*o)*(0*o + 0*o + o**2) + o - o + 2*o**4.\nAnswer: -431*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/15333660 and 109\/204.\nAnswer: 15333660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 89150 to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*y + 15 = 0. Suppose 5*r - y = 17. Suppose r*o = 18 + 2. Is o a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3)*(6*w - 2*w - 3*w) + (2*w - 1 + 1 + (0 - 3 + 4)*(-2*w - w + 4*w) + 2*w + 3*w - 3*w + 4*w - w - 4*w - 6*w + 3*w + w)*(-3 + 4 - 4).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (11 + 5 + -4 + -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 8*t**2 + 8*t - 1. Calculate q(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/12*(328\/32 + -9)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14706534 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of l**5\/10 + 5*l**4\/8 + 4*l**3\/3 + l**2 - 22. Solve c(j) = 0 for j.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27101594*l**3 - 45659149*l wrt l.\nAnswer: 162609564*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1700\/77323?\nAnswer: -1700\/77323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*b + 123*b + 20*b - b**2 - 37*b as p*b + o + n*b**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311328 is divided by 103764.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 2*j + 808. Let l = 18240250\/17 - 1073360. Let t = l - j. Which is the second biggest value? (a) -1 (b) t (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*g + 150 = -3*j, -2*j - 5*g = 90. Let o = -36 - j. Suppose 0 = o*b - 8*b + 8. Solve 5*n = b*n + 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mw when two letters picked without replacement from vwvwvvmwwwv.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -21*p + 3762. Let t = 429 - p. Suppose -3*m + t = m. Is m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/22))**26 assuming q is positive.\nAnswer: q**(13\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10.468 - -0.032. Let g = -12.5 + z. Which is the biggest value? (a) -0.11 (b) -2\/13 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7769364725.\nAnswer: 5, 310774589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -1001000111?\nAnswer: 1001001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 k when two letters picked without replacement from {f: 2, c: 1, k: 2, z: 1, a: 1, p: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 833*h - 386793. Calculate t(332).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n**3 + 6*n**2 - 12*n - 6. What is the units digit of b(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(76) + -2) - sqrt(76)) + (-1 + -1 + sqrt(76) + sqrt(76) + sqrt(76) - sqrt(76)) + -2 + (sqrt(76) - sqrt(76)*-2*5))**2.\nAnswer: 72*sqrt(19) + 6160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 6*u**2 - 5)*(-368 + 414 - 669 - 552) to x*u + s*u**2 + j and give s.\nAnswer: -7050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*q - 4. Let w(l) = 4*l + 56. Let o be w(-10). Suppose 0 = p + 3*u - 48, -o = -4*p + u + 124. What is the highest common divisor of q and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = m + 2. Let p(a) = a**3 + 26*a**2 - 2*a - 45. Let v be p(m). Suppose 0 = v*u - 8 + 8. Solve 5*b + 7*f - 3*f - 15 = 0, u = b + f - 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -427*z + 53 = 480 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + 3*(sqrt(153) - (sqrt(153)*-2 - sqrt(153))))\/((sqrt(72)*1)\/sqrt(8)) + 3.\nAnswer: 3 + 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 8, 22, 42, 68, 100?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 10*j**2 - 13*j + 8. Let t be f(11). Let a = 5 - t. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 74, 0.028, 1\/4?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-14) - (-168)\/98. Solve -g*s + 4*s + 6 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 876 and 84.\nAnswer: 6132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f - 14. Let i be t(-9). Suppose i*x + 16 - 424 = 0. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of p**8\/672 - p**7\/20 + 33*p**6\/80 + 121*p**5\/120 - 72*p**2. Find f such that c(f) = 0.\nAnswer: -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a minute in milliseconds?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -74 + 269. Suppose -3*n + 227 = -x, -4*n + f = 3*x - 99. Calculate the highest common factor of n and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzozzzzoz. Give prob of sequence ozoz.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 8. Let u(g) = -g**2 - 9*g + 18. Let s be u(j). Let l be 6\/(-9)*(-78)\/4. What is the highest common factor of s and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2642 and 8.\nAnswer: 10568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = f + 8 - 3, -5*o - 2*f = -8. Suppose -2*s = o*k - 4, -s - 5*k = 3*s - 5. Let g be 2\/(1 - 2 - -3). Solve b = -d - s, b - d = g + 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117832900.\nAnswer: 2, 5, 43, 67, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 41836 divided by 10459?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + b**2 + b + 13. Let a be j(0). What is the remainder when 43 is divided by a + 5 + 0 + -3?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-70)\/(-546))\/((-5131)\/(-1026) + -5). Which is bigger: q or 131?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdidxxxqx. Give prob of picking 1 i and 1 x.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48842 is divided by 264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 311970 and 246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 6*l - 4*l + 8, 2*l + 8 = 5*h. Let r(j) = j**3 + 5*j**2 + 2*j + 3. Let u be r(-4). Let g = u + h. Is g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/5)*z)**(-1\/43) assuming z is positive.\nAnswer: z**(-2\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s - 14. Let w be m(7). Let p(h) = -9*h - 4. Let u(x) = 6*x + 3. Determine w*u(f) + 5*p(f).\nAnswer: -3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 - (60 - (96 + -66))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w - 80 = -80. Solve w*m - 4*m + 3*q = 12, -q + 12 = -4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/2 + 18827*w**2\/2 - 3222265*w\/2 + 137253325\/2.\nAnswer: (w - 85)**2*(w + 18997)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 35 times -0.43983079\nAnswer: -15.39407765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123594 is divided by 20590?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + -3*(-1 + sqrt(76)) - sqrt(76))**2*4 + -5 + 1*((2 + 1*sqrt(76))*3)**2.\nAnswer: -72*sqrt(19) + 3487","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/52535 and 55\/152.\nAnswer: 420280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of 2*y**7\/35 - 23*y**6\/30 + 32*y**5\/15 - 2*y**4 + 1620*y**2 - 2*y. Factor i(v).\nAnswer: 4*v*(v - 6)*(v - 1)*(3*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -36*k + 29. What is s(-6)?\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 118240316 to the power of 1\/3, to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 5*m + 1705, -8*q + 3*q + m = -2805. What is the least common multiple of q and 16?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -99 + 203 + 4\/9. Does 103 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 9*q = 0. Suppose 4*j = -5*h - 0*j + 35, -4*h = -5*j + 13. Factor -2\/3*d**4 + q - 2\/3*d - 2*d**2 - 2*d**h.\nAnswer: -2*d*(d + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uj when two letters picked without replacement from juujuujjjuuu.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(8\/50)*(275028\/(-645))\/(-82).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 616*s - 615*s + a, -6*s + 140 = -5*a for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 14960 in decreasing order.\nAnswer: 14960, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 1120.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, 3, -7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 857\/9 + -95. What is the closest to c in 1, 0, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 4\/3 (b) -30145 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 49812379 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 454160018 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 109 and 763.\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m + 36. Let y be h(15). What is the remainder when (-284)\/(-6) - 1*(-5)\/(-15) is divided by y + (-5 - -3 - 4\/(-1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7894 - -7862. Suppose a + q + 3*q = 8, -2*a - 5 = q. What is the second smallest value in -0.4, z, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - ((-2)\/(-8) + (-17)\/4). Let u(b) = 0*b**3 - 8 + b**x - 3 - b**2 + 12. Give u(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37673*i*z**3 + 216364*i*z - i - 4*z**4 wrt z?\nAnswer: -226038*i*z - 48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k - 5. Let r be t(-7). Suppose -q = -r*q. Which is bigger: 2\/57 or q?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 263 + 1366 = 0. Suppose b*t = 544*t - 90. Calculate the least common multiple of t and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 156*p + 622. What is i(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 166 - -581583?\nAnswer: 581749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l**2. Let d(c) = 8*c**2 - 8. Determine d(h(v)).\nAnswer: 128*v**4 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4642781 is divided by 5789.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2813500.7 rounded to the nearest 100000?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 848?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 5)*(3*j - 3*j + j**3) + 0*j + 0*j - j**3)*(6 - 5 + 5).\nAnswer: -18*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*m**4 + 80*m**2 + 200?\nAnswer: 12*m**3 + 160*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ente when four letters picked without replacement from {e: 2, n: 15, t: 3}.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(21)\/(sqrt(3)*-2).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 41*d**2 - 7*d. Let n(b) = 20*b**2 - 3*b. Let j(t) = -7*n(t) + 3*w(t). Let c be 1\/(-5) - (-4 - 56\/(-20)). What is j(c)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18*-13865645\nAnswer: 249581610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**3 + 3*p - 3*p + 0*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -2*c - 0*c - 11, 3*p - 3 = 0. Put -1, c, 1, -5 in increasing order.\nAnswer: -5, c, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -88\/364605 and -103\/654.\nAnswer: 729210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/350 and -6\/805?\nAnswer: 8050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -3\/8, 2, 0, 12, 1\/5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, -1\/6, 23, -2\/11, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*h - 12 = 0. Suppose i - 51 = 3*t, t - h*t = -3*i + 137. Calculate the remainder when i is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 8*z + 2. Let h be c(-8). Does 19 divide h*(-3)\/12*-76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(975)*2)\/(sqrt(12)\/(2*sqrt(4))).\nAnswer: 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -19 (b) 0.2 (c) -0.06 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -4*r + 9*r + 70, 27 = 3*m - r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -40*o**2 - 135*o - 135. Let t(v) = -v**3 + 39*v**2 + 135*v + 135. Let h(a) = -6*i(a) - 5*t(a). Factor h(u).\nAnswer: 5*(u + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 14*a - 416. Let f be s(30). Put 1, -98, f in decreasing order.\nAnswer: f, 1, -98","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*r**4 + 27*r + 7*r**4 - 8*r wrt r.\nAnswer: 144*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8478, -69116, -234092, -555576, -1085738, -1876748?\n\"Answer: -8695*x**3 + x**2 + 224*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/((-23712)\/52)*984\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 22\/(-4 + 116\/30). Let d be h\/(-22) - 6\/4. Suppose -s + 2*v - d + 14 = 0, 0 = -s + 5*v + 14. Solve -p - 5*i + 20 = p, i = s for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 8*f**2 + 4*f - 15. Let n be r(-5). Let i = 301 - n. Solve i*h + 50 - 6 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114270268 to the power of 1\/3, to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1054 by -31.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8480 (base 9) in base 14?\nAnswer: 23ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a7c2 (base 15) to base 7.\nAnswer: 1410206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11722.\nAnswer: 2, 5861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/(-6) + 12\/90*215\/(-172).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 6*s**2 + 5*s. What are the prime factors of w(-7)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 5*q + 650. Calculate x(28).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of z**4\/12 - z**3\/6 + 23*z**2. Determine q(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 8*y + 11. Let f be q(9). Suppose 2*k + 2 = f*r + 16, -3 = k + r. Solve 7*w = 2*w - 3*a - 10, -k*w - a = 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 4*x**2 - 157396*x = 0.\nAnswer: 0, 39349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2 - 6*x - 4. What are the prime factors of q(-4)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 8 + 2 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -2\/3 (c) 0 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(20\/(-6)))\/(54\/((-4050)\/(-15)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -307 (b) 3 (c) 1\/5 (d) 14 (e) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32129 and 19936.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*d**2 - 3*d**3 + 51*d**3 - 81*d**2.\nAnswer: 48*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2963 + 8891\/3. Factor b*t - 4\/3*t**2 + 4\/3 - 2\/3*t**3.\nAnswer: -2*(t - 1)*(t + 1)*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12702835.\nAnswer: 5, 2540567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.335983 decades to millennia.\nAnswer: 0.07335983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0*j - 6 - 4*j**4 + 0*j - 3 wrt j?\nAnswer: -16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i - 1. Let d(v) = -v**3 + 7*v**2 + 8*v - 5. Let t be d(8). Let q(x) = -x**3 + 4*x - 5. What is t*r(j) + q(j)?\nAnswer: -j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dqqqyqqqqqq. Give prob of picking 1 d, 1 y, and 1 q.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10833 + -10840. Let x(b) = -b**3 - 6*b**2 - b + 8. Determine x(y).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - j - 140 = 0, -13*j = 3*v - 15*j - 142. Calculate the greatest common divisor of v and 506.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -7*r - 2. Let h be t(-1). Suppose g - h*x + 9 = -1, x = -2*g + 13. Suppose 3*q = -3, y + g + 12 = 3*q. Which is greater: -19 or y?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406041 is divided by 33829?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-1\/4)*y*y*y*((((y\/(y**(-16\/3)*y))\/y)\/y*y*y)\/y)\/y assuming y is positive.\nAnswer: y**(85\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3304 divided by -7.\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -21391.900063 - 70?\nAnswer: -21461.900063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2861 - 1923. Suppose -z = 11*l - 12*l. Is l a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -62012.22 and 0.4.\nAnswer: -24804.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 871 + 867 = -4*o, -5*b + 17 = 3*o. What is the remainder when 3000 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 9*o**2 + 65*o + 30. Determine b(6).\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3995 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 34*a + 142. Give i(-6).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, k: 8, d: 1, z: 2}. What is prob of sequence zzdk?\nAnswer: 2\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 190b69 - 8?\nAnswer: 190b61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 253\/(-88) - 10*(-7 - -8)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1 + (1 + 7 - 5)*(1 + 4 - 3))*(0 - w + 0).\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -4701*o - 211674. What is a(-45)?\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368 is divided by 74.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + 0 + sqrt(91)\/(sqrt(35)\/sqrt(5)) - ((1 + sqrt(13)*1)**2 - (sqrt(468)*3 - sqrt(468))))*-6.\nAnswer: -114*sqrt(13) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*j = -16*j - 336. Calculate the remainder when 141 is divided by j.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -42 - -3?\nAnswer: -3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 177879\/(-18) + (-1 - 21\/(-18)). Let n = k + 14756. Let p = 87845\/18 - n. Find the common denominator of p and 85\/66.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(1539) - sqrt(1539)*-1))**2 + 0.\nAnswer: -180*sqrt(19) + 6181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -18*j**3 - j**2 - j + 1. What is d(1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**4 + u**4 + 3*u**4)*(0*u - u - 7*u) + (0*u**3 + 0*u**3 + u**5)*(-1 + 6 - 3).\nAnswer: -14*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, g: 1, a: 1, f: 1, o: 1}. What is prob of sequence ags?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 16538*d + 2. Let q(k) = 6*k**2 - k + 75. Give y(q(p)).\nAnswer: 99228*p**2 - 16538*p + 1240352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3985995941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -323, -297, -253, -191?\n\"Answer: 9*s**2 - s - 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4*o**2 + 44*o + 315. Calculate f(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4017 + -4007. What is the third biggest value in 1\/6, x, 132?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58\/5 - 1*((-186)\/(-10) - 20).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10107 + -10099. Calculate the greatest common factor of 6184 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 17*a - 32. Let l = -3087 + 3072. Determine n(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54819617\/448 + -122365. Calculate the common denominator of i and -3*(4 + (-430)\/360).\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -742 + 3045. Calculate the highest common factor of 47 and l.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 324? (a) -90 (b) 3 (c) 2\/13 (d) 17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 759671207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 35\/(-10)*48\/28\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 348903211?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4 = -4*n, 8 = -3*n - n. Solve -3*u - 9 = -b, 4*u + r*b + 3 = 7 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 0 - 2)*(f**4 - 3*f**4 + 0*f**4) + 24 - 4*f**4 - 24 + 251379*f - 251379*f + 3784*f**4 to the form h + s*f + o*f**4 + x*f**2 + u*f**3 and give o.\nAnswer: 3776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 27. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r - 17*r**3 + 21*r**2 - 13*r**2 - 6*r**2 to the form l*r**2 + t*r + q + c*r**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.36996 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(15)\/(sqrt(55)\/(1*sqrt(11))).\nAnswer: sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 998.1 times -5\nAnswer: -4990.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -v - 24. Let y be (-1 + 8\/6)*(-6)\/v. Factor 1\/2*c**3 + 0 - c**2 + y*c.\nAnswer: c*(c - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-6)\/(-1))\/(-3))\/(10\/(-36535)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 6:23 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -2) + 2 + 0. Suppose w*z = -z. Let k(m) = m**2 + 6. Calculate k(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.269, -2\/7, -2.5, 0.4, 0.1 in descending order.\nAnswer: 0.4, 0.269, 0.1, -2\/7, -2.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 52232 (base 7) in base 3?\nAnswer: 122120112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(405) + 0.\nAnswer: 1 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -y**4\/4 + 17*y**3 - 855*y**2\/2 + 2646*y. Solve w(i) = 0 for i.\nAnswer: 15, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 9:20 PM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 819675653 - 2?\nAnswer: 819675651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.156 - -0.044. Let n = 1.8 - s. Let i = -4.311 - n. What is i rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -695 - 4*d + 1398 - 703.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-7)*r\/((r*r**(-20))\/r)*r**(-13)\/r**(-1\/4) assuming r is positive.\nAnswer: r**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/4 + 65\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -2. Let h be 46\/5*u\/4. What is the greatest common divisor of h and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133689.\nAnswer: 3, 44563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + (11 + 1 - 29) + (-2 - -8).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**(-9))**(1\/17))**(-3))**0)**(-2\/13) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5*d + 20 = 0, -3*g + 3*d + 7 + 5 = 0. Let k be ((-3)\/6)\/((-3)\/(-6)). Let r be 1\/(-2 - k) - -5. Solve -r*w + g*w = 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(9792\/27))\/3*-8?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 5*r**3 - 20*r**2 - 240*r + 954. What is t(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266 is divided by 29?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -227*y**2 - 493*y - 498. Give i(-1).\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-7)\/(63\/(-81))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 141, -5, -1, 1 in decreasing order.\nAnswer: 141, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5 + (sqrt(1900)*4*3*6 + -2 + 4)**2)*-2.\nAnswer: -19699193 - 5760*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14067 and 8169801.\nAnswer: 1563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.06 + -0.66. Let h = b + 5.3. Let o = h + -9.69999985. What is o rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.7281156 centuries?\nAnswer: 0.07281156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 949513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, g: 3, m: 1}. What is prob of sequence mv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1073980753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.31 - 0.41. Sort 0.1, r, 1 in descending order.\nAnswer: 1, 0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -7*h**3\/3 + 37*h**2\/2 - 58*h. Is 33 a factor of j(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2142671 to the nearest integer?\nAnswer: 1464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1358 + 288 = 107*h for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -20, -4, -28, -110?\nAnswer: -268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -124*t + 0*t**2 + t**2 - 3*t**2 + 4*t**2 to the form a*t + o + z*t**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 73874675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6 - 8) + 4\/1. Let w(l) = 17*l - 17*l + 2*l**t. Let s(i) = -4*i. Calculate s(w(c)).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112 (base 3) to base 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -1392, -0.4, 5, 0, 1\/7.\nAnswer: -1392, -0.4, 0, 1\/7, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*z**2 + 9 - 9 + (10*z - 8*z + 7*z)*(-z + 4*z + 2*z) to u + f*z**2 + p*z and give f.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 370\/40 - (-3)\/4. Let i be (-1)\/2*6 + 8. Calculate the greatest common factor of i and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 9*p + 1. Let u be m(-9). Suppose 5*o + 3*t - 32 + u = 0, t = 4*o - 18. Sort 2, -4, o in ascending order.\nAnswer: -4, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2835*k**3 - 19800*k**2 + 9220*k - 1040.\nAnswer: -5*(7*k + 52)*(9*k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20455241.\nAnswer: 59, 346699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -h**3\/6 + 3*h**2 + 2*h - 3797. Let m(j) = -3*j + 11. What is -10*f(z) + 6*m(z)?\nAnswer: -8*z + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 72087.\nAnswer: 216261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-1 + -2 - 3)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -723 = 101*b + 489 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 15491.7729.\nAnswer: -1549.17729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r = -12*r - 14. Solve 5*k - 3*c + 4*c = 8, 0 = -3*k + 4*c + r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 16. Let z = -77 + 86. Suppose 0 = -x*v - v + z. Calculate the greatest common factor of v and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 divided by -40?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k - 3. Let t be a(6). Suppose -4*q + 20 = q. Suppose -q*g + 5*y = -4, -4*y + t*y = 0. What is the highest common factor of g and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44603 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 481848 by 240924.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8, -41, -24039?\nAnswer: -24039","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 j, and 1 u when four letters picked without replacement from {u: 1, j: 2, y: 11, o: 2}?\nAnswer: 11\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25345898?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1239 - 1239.4. Which is the nearest to 0.1? (a) 1\/4 (b) g (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -h**6\/6 - h**5\/4 + 25*h**4\/12 - 5*h**3\/2 - 78*h - 1. Factor n(b).\nAnswer: -5*b*(b - 1)**2*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1129, -1145, -1169, -1195, -1217?\n\"Answer: s**3 - 10*s**2 + 7*s - 1127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 224?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1427338 divided by -5\nAnswer: -1427338\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/1413656 and -3\/28803241.\nAnswer: 230425928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18228173?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 4, 18, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -360869 or -154?\nAnswer: -154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -1. Let u(m) = -5 + 7 - 2*m - 7. Give -6*o(s) + u(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -230.69 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-19\/5)*w\/(((w**(-2)*w)\/w)\/w))\/(w**(-19\/3)*w**(-1\/7)) assuming w is positive.\nAnswer: w**(701\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31760 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -13*j**3 - 83*j**2 - 35*j + 5. Suppose -2*h + 0*h = x + 20, -3*h - 2*x - 30 = 0. What is the remainder when y(-6) is divided by 4*-3*h\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) 1\/4 (c) -0.44 (d) 43\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -10 (b) -100\/27 (c) -3 (d) 2.5 (e) -1 (f) 2\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443389 is divided by 221401?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-72)\/(-16) - 2\/4. Suppose 7*i = h*i + 9. Let d be 12\/(-4)*2\/(-4). Which is the nearest to 0? (a) d (b) i (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 634678 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-9 + (-10 - -16)) - -4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -3*a, 2*n = n + 2*a + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -111 - -239. Let c be (-55 - 2)*2\/(-3). Suppose -4*i + 0*j = -4*j - b, i = -j + c. Calculate the remainder when i is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 259896 and 27846?\nAnswer: 779688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -9. Suppose d*l - 2*l = 63. Suppose -2*b + 164 = 2*b. What is the remainder when b is divided by l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.35157 - -0.05157. What is the nearest to k in -5, 1\/4, -1\/23, 3\/11?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 31*q**2 - 63*q + 39. Calculate n(-29).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, i: 3, c: 3, y: 6}. What is prob of sequence ic?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -9.3*671\nAnswer: -6240.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-24)\/48 - 234\/(-4) is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -76 - -68 - (-1 + -7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 - 13 = -f + 4*w, -13 = f - 2*w for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 5, -10, 8 in decreasing order.\nAnswer: 8, 5, -2\/13, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/12)\/(4\/6).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.5 - 3. Let v = 1\/41 - 91\/369. Sort -2, h, v.\nAnswer: -2, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -27\/2*k**3 - 1\/60*k**5 + 0*k - 38*k**2 + 3\/4*k**4 + 0. Factor n(x).\nAnswer: -(x - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11820342*k**3 + 190*k**2 - 308*k + 1?\nAnswer: -70922052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 5*a - 1. Let f be b(-5). Let x be (-4 + f)*(-10 - -3). Solve -5*p + 2*c + x = -0*c, -3*c = 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.774 + 0.85. Let u = d - 0.276. Sort u, 0.02, -0.4, 0.4 in increasing order.\nAnswer: -0.4, u, 0.02, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4041179?\nAnswer: 29, 331, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 - (-142 + 145) - -84.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**3*s**5*s*s*s*(s*s**4)\/((s**5\/s)\/s)*((s**(-3\/5)\/s)\/s**5)\/((s\/s**5)\/(s\/(s*s\/(s**(2\/7)*s)))) assuming s is positive.\nAnswer: s**(199\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let k be ((1 - 2) + -1)*-1. Let s = -640 + 633. Let j be (-3)\/((798\/24)\/s + 4). Solve k*d + 2*d = j for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17358 is divided by 5425?\nAnswer: 1083","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14.2 - 8. What is b rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of q**3\/3 + 3*q**2 + q - 4. Calculate j(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/6 - (-21)\/9\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 5*f**2 - 29*f + 29. Let x(s) = -9*s**2 + 55*s - 57. Let q(t) = 7*k(t) + 4*x(t). Calculate q(16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = n - 2 - 2, 4 = 5*l + 3*n. Let k(v) = -6*v**2 - 3 + 7*v**l + 6*v**2 + 4*v. Calculate the remainder when k(2) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -9*s - 244. What is k(5)?\nAnswer: -289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**3 - 3 + 0 + 3.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(78) + -3*sqrt(78)) + sqrt(78)*-2*6)\/((sqrt(420)\/sqrt(90))\/(sqrt(847)*-2 + sqrt(847))))**2*-6.\nAnswer: -41111928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t**5 - 11764*t**4 - 142282*t**3 + 111004*t**2 + 43056*t = 0.\nAnswer: -828, -13, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-212)\/(-530))\/(242\/60 + -4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 6:49 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-215)\/(-258)*32\/(-30)*(-5)\/20.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 62 + -51 + -7 + 25\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0510725062 to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*p - 27*p - 31*p - 28*p - 6 + 103*p to i + y*p and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3117 not equal to 3117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 6)\/(-3 + -3). Is g smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 3*m + 3. Let t be v(-1). Let y be 58*((-10)\/20)\/(t - -2). Let q = -26 - y. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 5*o - 225, -15 = -o - 2*o. Suppose -c = a - 6*a. What is the least common multiple of 14 and a?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**4)**(-10) assuming x is positive.\nAnswer: x**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or -199\/14?\nAnswer: -199\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -0.01 (b) 12 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 6 = x - 3, 6 = x - 5*f. Is 1527\/6 + x + 9\/6 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 25*w**2 - 182*w - 51. Is c(-23) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 11232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12103 - -202012?\nAnswer: 220121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -n - 10. Suppose -67 - 33 = -n*p. Calculate the highest common factor of p and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 3) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -185*v + 564 + 696*v + 925*v + 1456*v - 439*v wrt v.\nAnswer: 2453","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00135 rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 115941221489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2528513122 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((48\/384)\/((-4)\/16))\/(3\/(-90))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*i - 4*d - 0*d, -i = -d - 2. Suppose 3*v + 100 = -i*v. Let u = 44 + v. Is u a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f - 3 - 5*f + 5*f)*(f - f - 2*f)*(18 - 1 - 110) to o*f + d + p*f**2 and give o.\nAnswer: -558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29 or 37067\/1249?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -3*n**4\/8 + n**2. Suppose -1023*m = -1001*m - 884994. Let t(a) = -40227 + m + 2*a. What is t(b(f))?\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 6. Let h(z) = -z + 1 + 2*z**2 + z**3 + z**t - 2*z. What is the tens digit of h(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 1, -3, -3.4 in descending order.\nAnswer: 1, -0.2, -3, -3.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03026 - -0.03974. Which is the second biggest value? (a) u (b) -1 (c) 2 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002253597 rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7444816 is divided by 3722386?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 56411753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -732.98659 to one dp.\nAnswer: -733","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 8*h + 111 = -10*h, -w - 5*h + 6 = 0. Find the first derivative of x**2 - w*x**2 - 57 - 3*x**2 wrt x.\nAnswer: -46*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**5 + u**5 + 0*u**5)*(-11 + 22 - 80)*(0 + 2 - 3).\nAnswer: 414*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 391033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 p when three letters picked without replacement from wpwwfffpgpw.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(112))*3 + sqrt(112).\nAnswer: -3 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -30 + -8?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 13*n**2 + 4*n + 12. What are the prime factors of y(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/3096 and 61\/69488?\nAnswer: 625392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8*39.0812.\nAnswer: 31.26496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/3 - (-1070)\/428)\/(20\/(-16))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, -187, -294, -417, -562?\nAnswer: -735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 5*p**2 - p + 1. Calculate g(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-4))\/((-90)\/240)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430098 is divided by 92.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 + 43. Suppose 4*z - 1 = 15. Put -4, z, c in descending order.\nAnswer: c, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kgezzeezzez. Give prob of sequence zekz.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -36674250 or -36674247?\nAnswer: -36674247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15486 and 1428366.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 5*t = 19, -1938*b + 1935*b - 15 = -3*t for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24861*q + 24861*q - 310 + 2*q**4 - 310*q**3 with respect to q.\nAnswer: 8*q**3 - 930*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-178617*g + 1 - 1 + 181206*g)*(2*g - 1 + 6*g + 3).\nAnswer: 20712*g**2 + 5178*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 905\/4 in -2\/11, -8\/11, -2\/13, -2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110011110 (base 2) to base 16.\nAnswer: -19e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6072 - 6072.6. Let p be (4\/(-25))\/((-10)\/(-25)). Sort p, y, 1.1.\nAnswer: y, p, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, z: 4, t: 3, e: 2, g: 3}. What is prob of sequence ttt?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 - 0.1. Suppose -3 = 3*r - j + 2, 2*r - 3*j = -1. What is the smallest value in k, r, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 512471?\nAnswer: 643, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 300 and 348?\nAnswer: 8700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -14662, -1.\nAnswer: -14662, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 2*k + 36. What is the tens digit of a(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wpaalzx. What is prob of sequence wpzx?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -30\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of 0 + 192\/5*t**3 - t**2 - 10*t - 4\/5*t**4 + 1\/150*t**5. Let u(y) = 0. What is y?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in grams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 125 - 11. Suppose -5*p + z + 36 = 0. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 107*g**2 - 43*g + 473. What are the prime factors of n(5)?\nAnswer: 7, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4852*i - 9664*i + 4815*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-29040)\/(-18)*312\/130. What is the greatest common factor of s and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -3*f + 17, -a + 4*f + 19 = 35 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*m - 67*m = 85*m - 2470. Let t be 3 + (2 + 0)\/2. Suppose 2*v = -4*w + 32, 6 - 44 = -5*v + t*w. What is the remainder when m is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -189?\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/8 - 13149*z**2\/8 - 51667767*z\/8 - 63665364987\/8.\nAnswer: -(z + 2973)**2*(z + 7203)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10110 - -102202?\nAnswer: 22022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 0*z. Let f = z + -11. Let r = -8 - f. Solve r*q = q + 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1117185 + 37*h + 1117185.\nAnswer: 37*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 3*z - 3. Let t(y) = -3*y**3 - 5*y + 5. Suppose 2*k - 6*k - 24 = 0. Calculate k*t(a) - 10*j(a).\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 3. Suppose 5*p + 96 = 71. Put -2, p, m in increasing order.\nAnswer: p, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 3 (c) -0.28 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -4*i + 4. Let d be ((-12)\/(-2))\/((-80)\/120) + 4. Let y(n) = -2*n + 2. Determine d*y(a) + 2*s(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 5*p**4\/24 - 2*p**2. Suppose 2*l = 2*d + 6, -5*l + 27 = 3*d - 2*d. Let c(v) = -3*v**2 + 11*v**2 - 6*v**d. Calculate b(c(n)).\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4044569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22786, -22914, -23258, -23926, -25026?\nAnswer: -26666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*n + 106*n + 8650 = 0. Calculate the smallest common multiple of 16 and n.\nAnswer: 2768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -4*q**2 + 56*q + 192. Calculate m(17).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**3\/5 + 63*b**2\/5 - 44*b = 0.\nAnswer: 0, 4, 55\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1495 and 325?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 0.1. Let q = -2.6 - l. Which is the smallest value? (a) 3 (b) 1.4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 37*c + 22 + 74*c**2 + 84*c**2 + 80*c**2 - 236*c**2. Give i(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 55*s - 124 - 506 + 0 = 0, -5*s - 75 = 10*j - 14*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7298007 a multiple of 286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 642, 1346, 3318, 7212, 13682, 23382?\n\"Answer: 109*r**3 - 20*r**2 + r + 552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 6*s**3 - 5 - 1 + 12.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234253?\nAnswer: 433, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 887 + -534. Let z = d - -158. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*s = 26*s + 3980. What are the prime factors of s?\nAnswer: 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-4)\/(-12))\/((-14)\/(-123)) and 2\/3*(-387)\/(-30).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 4*v**2 + 2*v - 4. Let j be o(4). Suppose j*y + 32 = -2*u - y, 16 = -u + y. List the prime factors of u\/(-40) + (-93)\/(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*m + 124 = -32, 0 = -5*m. Let k = 82 - d. Let s = 57 - k. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02*32005120.\nAnswer: 640102.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 4:01 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13618, 55362, 124920, 222280, 347430?\nAnswer: 500358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1166*u - 817*u + 7678 for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -8*p**3 - p**2 - 2*p + 2. Let w be v(1). Let s be (42\/126)\/((-1)\/w). Solve -3*z + h = 5, -s*z - 2*h = h + 21 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 3*p + 2. Let g = -25 + 28. Suppose -j - g = -2*j - 4*z, -2*j - 5*z = -6. Determine h(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, -0.4, -0.2, -6, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -826 (base 11) in base 14?\nAnswer: -512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c + 3*c = 14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (128\/(-80))\/(10\/25).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6682 a factor of 615271878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.04 and -6\/811795 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4\/13 - 196*k**3\/13 + 570*k**2\/13.\nAnswer: 2*k**2*(k - 95)*(k - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -18 (b) 1.881 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, t: 2, h: 1, o: 2, a: 7}. Give prob of sequence et.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h + h - 7*h + (-43*h + 4 + 26*h + 20*h)*(3 + 44 - 21).\nAnswer: 71*h + 104","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 51.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -513067480.546 + -0.07.\nAnswer: -513067480.616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.99 + 674.01. Let q = o + -671.06. Let t = q + -8. What is the nearest to -1\/2 in -0.1, 0.4, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 616 (b) -12 (c) 51\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 11) in base 12?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 24330 + 4?\nAnswer: 24334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/((-360)\/207)*(-61)\/(-1). Let h = f + -175. Suppose 1\/8*d**2 + h*d + 1\/4 = 0. What is d?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1969 - 1964. Put -3, -2\/9, w in descending order.\nAnswer: w, -2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -13. Let z(k) = -2*k**3 + 20*k**2 + 26*k - 2. Calculate the lowest common multiple of h and z(11).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0922234939 to five dps.\nAnswer: 0.09222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -84, -245, -530, -939?\n\"Answer: -62*s**2 + 25*s - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 3*m**2 - 3*m - 2. Let i be x(4). Let s = 6 + -4. Suppose -4 = -s*b + i. What is the least common multiple of b and 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y + 10. Let c(g) = -4*g + 50. Let a(d) = 6*c(d) - 28*v(d). Let w be a(-4). Solve 6*u - 3*u - 2*r + 17 = 0, -w*r + 14 = -2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence su when two letters picked without replacement from sssssssussss?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 8, q: 1, g: 2, i: 4}. What is prob of sequence ri?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -c**4\/4 - c**3 - 3*c**2\/2 - 4*c + 4. Suppose -3*q + 6 = 15. Let w be b(q). Solve -6*d = -w*d - 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-23\/4)*i*(i*i*i*i*i*i*i**(-13)\/i*i)\/i*i)**8 assuming i is positive.\nAnswer: i**(-94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 7 + 23 + 6*k**2.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.5139 - 0.5139. Which is the nearest to q? (a) -4\/3 (b) 2 (c) 42.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3)*(-15 + 29*x + 30 - 16)*((x**2 + 0*x**2 + x**2)*(-4 - 2*x + 4) + 10 - 10 - x**3).\nAnswer: -290*x**4 + 10*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2687*d = 2681*d - 8046*d + 2679*d - 45 for d.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 403 times -4\nAnswer: -1612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 361615719?\nAnswer: 3, 809, 148997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 6, 2, 45, -27, 0 in descending order.\nAnswer: 45, 6, 3, 2, 0, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 262, 1090, 2464, 4384?\nAnswer: 6850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.256 + 0.056. What is the nearest to 16 in j, -0.4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44311903?\nAnswer: 37, 1197619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12223002232 (base 4) to base 15.\nAnswer: 248411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 11, g: 1}. What is prob of sequence hg?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58471 divided by 25684.\nAnswer: 58471\/25684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - 27\/21 - (-18)\/14. Let y be 4 + -5 - 0\/(x + -2). Which is greater: y or -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-4))\/(2\/(-24)). Let m be -1 + u\/(-2) + 3. Let b be (-18)\/45*(m - 24). What is the greatest common factor of b and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (18\/15)\/(9\/60). Suppose 14*p - 7*p = 21. Suppose f = 5*r - p*r. Solve 0*m = -m - g, -m - 2*g + r = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uucz when four letters picked without replacement from {m: 1, i: 2, u: 3, j: 1, c: 2, z: 8}?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3229 + -3799?\nAnswer: -3799.3229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9898160338 rounded to the nearest 100000?\nAnswer: 9898200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((-45 - (-25 - -8)) + 5 + -1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -77. Let j = 304\/5 + c. Which is greater: j or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -403*q + 61*q + 3383064 = 0. What is the hundreds digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1547925680 rounded to the nearest one million?\nAnswer: 1548000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -3. Let z(q) = q**3 - 8*q**2 + 5*q + 9. Determine z(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 14*g - 19*g + 115, 2*f = -2*g + 34. Suppose 8*h + g*h = 7280. What are the prime factors of h?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -144, -111, -72, -27?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -348*p**4 + 336.\nAnswer: -1392*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 20.4. Put -1, o, -4, 3 in decreasing order.\nAnswer: 3, o, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-57)\/5)\/((-7)\/35). Let a(c) = c**3 + c**2 - c - 29. Let l be a(0). Let b = l + z. Solve -8 + b = -5*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -724, -2881, -6492, -11557, -18076, -26049?\n\"Answer: -727*s**2 + 24*s - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.3 (b) -9 (c) 52 (d) -5 (e) -28 (f) 2 (g) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of 7*x**6\/60 + x**5\/30 - 7*x**4\/24 - 11*x**3\/6 - 11*x**2. Is j(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 181 + -169. What is the remainder when 51 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21770967 at most 21770970?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m + 6*m + 2*m + 3*m - 9*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8589 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 60451 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.676 + 1.176. Let v = -78\/133 + 2\/133. Which is the nearest to 1? (a) 15 (b) v (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*f**3 - 17*f**3 - f**3 + (-11 + f**3 - 14*f + 26*f + 8)*(-1 + 1 + 1) in the form n*f**2 + v + k*f**3 + u*f and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -1\/21, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-7))\/(-2)*147\/(-126)*5766\/62?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 2*d + 5, 0 = -319*j + 322*j - 3*d - 6 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = o + o - 1, 5*v + 40 = 5*o. What is the remainder when 36 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -7*c - 10. Suppose -4*r - 3*o = 3, -5*o - 24 = -r + 4. Put r, -1, c in decreasing order.\nAnswer: r, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*k - 0*k. Let l be (6\/18)\/((-2)\/k). Suppose 4*h + 2*w - 34 = 0, 2*h + 2*w - 6*w - 2 = 0. Which is smaller: l or h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 756.9028 + 0.0972. Let d = -142522 - -141760.27. Let a = d + i. Round a to 1 dp.\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 275468420 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 617 a factor of 306180697?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/15)\/(-1)*6?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 117 = 5*m, 347*n - 60 = 345*n + 4*m. What is the remainder when 6912 is divided by n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6655603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z**3 - 4*z**2 - 6*z - 12. Let o(b) = 9*b**3 + 15*b**2 + 21*b + 41. Determine 18*c(u) + 5*o(u).\nAnswer: -9*u**3 + 3*u**2 - 3*u - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 182 and 655382?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29068022 and 4652.\nAnswer: 2326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -312410055?\nAnswer: 312410050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, y: 3, w: 6, k: 1}. Give prob of sequence klw.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 + (8*(-4 + 3) - -4). Suppose 5*r + 19 = 4*z, 4*z + k*r - 4*r = 22. Solve -2*b - 4 = z*f - 2*f, -3*b - 12 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 6*h - 3*h - 6, 3*m = 3*h - 24. Suppose 4 = -h*v + 6*v. Put v, -9, 0 in increasing order.\nAnswer: -9, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1802845 to the power of 1\/2, to the nearest integer?\nAnswer: 1343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 46 = -k + 52. Let x(s) = 13*s**3 - 19*s**2 + 11*s + 11. Let c(q) = 7*q**3 - 10*q**2 + 6*q + 6. Calculate k*x(f) - 11*c(f).\nAnswer: f**3 - 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(112) + sqrt(112) + 2*sqrt(112) + 3))**2 + (-1 + -2*sqrt(112))**2 + 1.\nAnswer: 112*sqrt(7) + 2251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 909.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - 4\/6)\/(73\/438). Solve 4*x - 16 = 4*w, 4*x - 16*w + 21*w + t = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -211020 (base 3) to base 16\nAnswer: -258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -354, -954, -1554, -2154, -2754?\n\"Answer: -600*y + 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 95, 102, 121, 158, 219, 310?\n\"Answer: u**3 + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(57\/(-30) + 2). Calculate the common denominator of -1*(-1 - 1)*-21 and ((-8)\/90)\/(c\/(-550)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-1 - 6)) + (-24 - -14)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 975094 and 848.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -5, -13, -25, -41, -61?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65665 by -5.\nAnswer: -13133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -5*c**2 + 51*c + 19. Calculate k(10).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 111*t**6 + 11*t**2 - 3*t wrt t?\nAnswer: 13320*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 111 - 100. Suppose 5*h - 10*p - 2170 = -y*p, 4*h - 5*p = 1736. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 3277247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 - 75. Let m = u - -55. Let c = m + -15. Solve 3*s + c = -2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 566 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (17\/(425\/(-60)))\/(8\/(-100)). Is y\/75 - (-292)\/20 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2. Let i be 16\/48*(-1 - -13). Suppose -4*a + 1006 = t - 3*t, i*a - 1021 = -t. Let b(y) = 5*y**2 + 254 - a. Determine k(b(o)).\nAnswer: 25*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i*q**2 + 2*i*q - 6271789*q**3 + 13962592*q wrt q?\nAnswer: 4*i - 37630734*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 704049764 to the nearest one million.\nAnswer: 704000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9719, -9331, -8923, -8489, -8023?\nAnswer: -7519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 156\/427 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 2*l + 40. Calculate the greatest common factor of 15 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4*j + 7 = -4, 0 = -u - 3*j + 4. Suppose -5*r = 4*b - 1737, -u*b + 360 = r - 2*b. Is 19 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*f**5 - 38*f**3 + 63*f**2?\nAnswer: 180*f**2 - 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 5*l**2 + 8 - 8*l**2 to m*l + j + v*l**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97318898?\nAnswer: 2, 48659449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.14? (a) 3 (b) 1 (c) 111 (d) 0.2 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 9:36 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 9*t**2 + 3*t + 2. Let o = -8 + -2. Does 18 divide k(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 114648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -68468.42 and 2.24?\nAnswer: 68470.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a gram in micrograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 v when three letters picked without replacement from {f: 6, y: 8, k: 1, r: 1, v: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 11*k**2 - 30*k + 8. Let c be d(-4). Solve 5 - c*j + 1469*j**2 - 1472*j**2 + 7 = 0.\nAnswer: -6, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 1702?\nAnswer: -1705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 - (0 - (-3 - -2)). Factor l**2 + 1 + 0*l**2 - z*l + 2*l.\nAnswer: (l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14695 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49945 is divided by 1727.\nAnswer: 1589","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6405 (base 7) to base 3\nAnswer: -10002200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/((-240)\/(-10))*5\/(-2)*-4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -387425163.9 minus -0.27?\nAnswer: -387425163.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -2065a?\nAnswer: 2065a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 165 and 3877577.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n + 27. Calculate j(16).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 8*u**2 - 9*u + 2. Let z be (-1*(-14)\/5)\/(18\/45). Calculate f(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -661461?\nAnswer: -661466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/19520*61*(-16)\/(-59).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000396712518 rounded to 7 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 3:39 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -8) + 94\/(-376)*(2 - -23).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -1 (c) 0.05323 (d) -0.73 (e) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.82666 micrometers to nanometers.\nAnswer: 31826.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49.71619 + 0.12419. What is a rounded to the nearest integer?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/199, 0, 2\/15 in descending order.\nAnswer: 2\/15, 0, -1\/199, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((0 + (0 + sqrt(11) - sqrt(11)) - sqrt(11)) + (sqrt(11) - sqrt(44)*-1) + 1))**2.\nAnswer: 144*sqrt(11) + 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8981216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a - 10. Suppose -3*x = -3*l - 27, 4*x + 4*l + 5 - 49 = 0. Suppose -3*v - 11 = x. Give o(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*g + 22 = -24*g - 2*q, -3*g + 14 = -2*q. Sort -1, 0, g, 115 in decreasing order.\nAnswer: 115, g, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-552)\/(-20) + 6\/(-10). Calculate the highest common divisor of u and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8971 is divided by 8958.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-17)*s\/s**33)\/(s**(2\/43)*s\/(s\/(s**20*s))) assuming s is positive.\nAnswer: s**(-3012\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15359899853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 46\/8 - 3\/4. Let h = -28 - -28. Sort z, 1, h, -3.\nAnswer: -3, h, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 5564*a - 5559*a, a = 2*k + 15 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11 or -39?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 144.02 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/((-8)\/(-2))*-6. Let d(h) = -11*h**2 - 9*h - 2. Let c be d(f). Let o = -35 - c. List the prime factors of o.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((m*m\/(m**(-1\/15)\/m*m*m))\/m)\/m)\/(m*m**21\/m))**(-3\/16))**28 assuming m is positive.\nAnswer: m**(2303\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of 0*s**4 + 0*s**2 - 1\/2*s**3 + 0 + 9\/20*s**5 - 4*s. What is the second derivative of p(f) wrt f?\nAnswer: 54*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/17)\/a**(-1\/4))**(-2\/11)\/(a**(-4)\/(a\/(a\/a**1)))**45 assuming a is positive.\nAnswer: a**(84141\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -434*m**2 + 15*m + 5. Let r(y) = y**2 + 3*y + 1. What is -5*r(t) + s(t)?\nAnswer: -439*t**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -7933 + 11232. What is the thousands digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -261374?\nAnswer: 261401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*11\/(-462)*-3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 2 - 1 - 3*r)*(121 + 38 - 137 - 1717).\nAnswer: 1695*r + 5085","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(3) + -1)**2*-3 + 0.\nAnswer: -24*sqrt(3) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*q - 25*q = 50 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259231?\nAnswer: 7, 29, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -14*n**3 + 66*n**2 - 36*n - 16 = 0?\nAnswer: -2\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*o**4 + 11*o**2 - 11*o**2)*((-3 + 1 + 0)*(-1 + 0 - 1) + 24 - 1 - 2).\nAnswer: 150*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5776 - 1203. What is the thousands digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 412 and 10.\nAnswer: 2060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10465 + -20?\nAnswer: 10445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 120.13 - 119.13. Is 4 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 937 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 3*p**2 - 8*p + 10. Suppose -3*o - 3*s - 27 = 0, 0 = -2*o + 5*s + 14 - 4. Let d be j(o). Solve d*u - 8 = 8*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -6) + 16 + (2 - 42).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -14. Solve r - 3*r + l = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2323987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.02, -3\/2, 2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31952.9959949 + 31953. What is g rounded to five decimal places?\nAnswer: 0.00401","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/42 and 30\/(-6) + 2*(-4902)\/(-2016) - 0.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8a9b (base 12) in base 9?\nAnswer: 23082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 0.4 (c) -3 (d) 5 (e) 32 (f) 5.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*k**2 - 4*k**2 - 3*k**2)*(1 - 1 - 2) - 8 + 2*k**2 + 0*k**2 + 4 in the form w + y*k**2 + i*k and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 5:57 AM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 16. Let u = -34 + 39. Let m(s) = 5*s - 21. Let h be m(u). Solve -b + k = -h*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*m + 30*m + 16*m + 29*m + 10*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 34*p + 46. Let q(h) = -h**2 + 68*h + 90. Let t(d) = -5*l(d) + 3*q(d). What is the smallest common multiple of 64 and t(-16)?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of k**7\/840 - 7*k**6\/240 + k**4\/2 + 54*k**2. Let n(l) be the second derivative of d(l). Factor n(j).\nAnswer: 3*j*(j - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 4*l - 32, -4*l + 86 = 4*v - 7*l. Suppose v = -6*w - 160. What are the prime factors of 4 + w*(-30)\/9?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -259800 + 5?\nAnswer: -2597a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/6304 and 1\/17?\nAnswer: 107168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 3*n**2 - 4*n + 2. Let l be h(-4). What is q in 4*q**l - 4*q**2 + 2*q**2 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - -8)*(-3)\/(-5). Let h(f) = -f**3 - 16*f**2 - 21*f - 35. Let i be h(-15). Suppose i = -r*a + 247. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251*v**3 - 44*v**3 - 781*v + 781*v + 94*v**3.\nAnswer: 301*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s + 1. Let d be t(-3). Let x = d + 5. Suppose x = -3*o + 80 - 17. Solve -y - 17 = 2*c - 6, -4*y + 5*c = -o for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, 92, 3, -85, 9 in increasing order.\nAnswer: -85, -5, 3, 6, 9, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 289 + -288.9. Let l = 0.05 - -0.12. Is t greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/5841910 and 15\/16.\nAnswer: 46735280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -50? (a) 1 (b) 106646 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 8:16 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-672)\/360*-30 - 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-332))\/(60\/(-120))*(-24)\/(-12).\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 2. Suppose 3*x - j*x = 18. Calculate the greatest common factor of 126 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42864\/(-399) - 448\/784.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 318.2 + -318.59. Put 60, -1\/5, l in descending order.\nAnswer: 60, -1\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17.98 - 18.48. Let z = -1.1 + 1.2. Which is the closest to z? (a) 17 (b) o (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + -8 - 26) + -83 - (-5 - (3 + 0))?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 18 = -2*f. Suppose -14 = -3*y - f*a + a, -3*y = 3*a - 18. Let h be -4*(3\/(-5))\/(y\/(-10)). Sort h, 4, 5 in ascending order.\nAnswer: h, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 133 and 247.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-90)\/36 + 64\/24. What is the nearest to z in 7, 8, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/11877 and -73\/13401429.\nAnswer: 495852873","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 15*d. Let p(h) = -36*h. Determine p(s(z)).\nAnswer: 36*z**2 + 540*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 8*d - 1. Let p be l(-7). Solve 4*r + p - 14 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(14\/(-56) - 18\/(-8)). Find the second derivative of -19*z - 1 - 1 + m*z - 83*z**4 + 4 wrt z.\nAnswer: -996*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 13 + 19. Let w = -327 + 329. Solve -x*r = -4*i - 0 + 4, 0 = w*i + 3*r + 16 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 2)*(-173452)\/1236. Solve 20 = -417*p + y*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*k**2 + 8*k**2 + 5 - 4*k**2 as m + l*k + c*k**2 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -2*q**7\/15 - 5*q**4\/6 + 33*q**2. What is the second derivative of b(t) wrt t?\nAnswer: -336*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11569445368 minus -71?\nAnswer: -11569445297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -41210, -41264, -41356, -41492, -41678?\n\"Answer: -i**3 - 13*i**2 - 8*i - 41188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2 = 4. Let n be 32\/(-68)*p\/4. What is the second smallest value in 2\/3, 4, n?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 <= -2.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*b - b + 4*b)*(-3769*b**3 + 1101*b**4 + 3769*b**3).\nAnswer: -5505*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5*b + 1036201 = 2*b, -4*b = -5*y + 1036203. Let w = -310239 + y. Round w to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1428193 by 793.\nAnswer: -1801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.6 - -0.4. Let s = a - 3.2. Let c = s + 0.2. Is c < 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -1135*w. Let a be d(1). Is (14\/7 - a)*10\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 152430 + -2?\nAnswer: 152424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6956, -9674, -8140, -2348, 7708?\n\"Answer: l**3 + 2120*l**2 - 9085*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 25861568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2052 + 2024 - 28*w + 9*w - 4076. Let a(k) = 118*k. Calculate a(i(q)).\nAnswer: -2242*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5249832?\nAnswer: 2, 3, 7, 31249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*f**4 + 2*f**3*i + 226*f**2 - 11*f*i + 174*i wrt f.\nAnswer: 240*f**2 + 12*f*i + 452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5608?\nAnswer: 2, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -321966 from -2.053.\nAnswer: 321963.947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 190 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**6\/6 - 7*o**5\/15 + 9*o**2\/2 + 18. Let v(j) be the second derivative of t(j). What is the third derivative of v(a) wrt a?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/1230 + 124083\/(-1394)\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 803584 a multiple of 258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -1 + 2*k**3 - k**2 - 4*k**2 + 3*k - 2 - k**2. Is x(4) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 83.1.\nAnswer: -249.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8856 and 779?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 5*c. Let j(l) = 7*l**2 + 8*l. Calculate q(j(y)).\nAnswer: 35*y**2 + 40*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b. Let j(o) = 39*o. What is j(k(h))?\nAnswer: 117*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1541 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of 0 + 0*z - 1\/120*z**6 + 0*z**4 - 1\/12*z**5 + 1\/6*z**3 + 4*z**2. Determine o(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, b: 3, v: 5}. Give prob of picking 2 v.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -846518, -1693052, -2539576, -3386084, -4232570, -5079028, -5925452?\nAnswer: -6771836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29608929.4 rounded to the nearest one hundred thousand?\nAnswer: 29600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -20*c. Let f(z) = 3*z. Let r(a) = 5*f(a) + t(a). Let q(p) = 10*p - 2. Determine q(r(b)).\nAnswer: -50*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 35367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 4*f - 84, 4*f = 5*f - 2*y - 26. Let t be f\/((-10)\/(180\/(-189))). Find p, given that 10\/7*p - 2\/7*p**2 - t = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.09 + -3.91. Let x = -2 - z. Which is the smallest value? (a) 0.4 (b) 0.5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 94282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/8)\/((-5)\/1110). Suppose r*m + 3 = 108*m. Let x = -10 - -7. Sort 5, m, -12, x in descending order.\nAnswer: 5, m, x, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 30 + 25 = 0. Let g be 9 - (4 + u) - (-1 + 3). Solve 0 = 2*i - 3*a + 2*a - 5, -3*a = g*i + 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m**2 - 11*m + 6*m**2 - 4*m**2 + m**4 + 2*m**3 + 0*m**3 - 3*m**2 in the form s*m + i*m**3 + f*m**4 + t*m**2 + l and give s.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 801571392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - 3135\/(-525))\/(3\/(-10))\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1\/5, -18, 0.09, 6, 2.3, 3 in ascending order.\nAnswer: -18, -1\/5, 0, 0.09, 2.3, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.03728, 1.1, -1, -2, -2\/13?\nAnswer: -0.03728","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 4:52 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 3*z + 3. What are the prime factors of v(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/5 in -1, 20720, 1, 20, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102138800 a multiple of 2844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -56*f - 71 + 239. Let m(q) = -9*q + 24. Let z(u) = 3*u - 10. Let j(o) = f*m(o) + 8*z(o). Let w(y) = 2*y. Give w(j(g)).\nAnswer: -6*g - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1628 - 17986835.\nAnswer: -17985207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30749 (base 14) to base 10.\nAnswer: -116685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20657294 to the nearest integer?\nAnswer: 4545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9451.\nAnswer: 13, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 10:12 AM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of 53*i**6\/30 + i**5\/20 + 2*i**4\/3 + 985*i**2 - 2656*i. What is the derivative of a(d) wrt d?\nAnswer: 212*d**3 + 3*d**2 + 16*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*a - 18538 + 108722. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164259 + 251965 + 287517 = 6331*i - 207229 for i.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/4)\/(50\/100). Suppose -2*n = -m*n + c + 7, 5*n = 4*c + 30. What is h in 3\/2*h**n - 6*h + 9\/2 = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**3 - 5*o**2 + o + 2. Let c be a(-7). Let z = -36 + c. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 43958, 177630, 401006, 714092, 1116894, 1609418, 2191670?\n\"Answer: u**3 + 44846*u**2 - 873*u - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3772 (base 10) to base 11.\nAnswer: 291a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 921288819.\nAnswer: 3, 11, 41, 109, 6247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 625 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -5*k**2 - 218*k + 92. Determine l(-44).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) - (sqrt(17) + -1)*-2 - (4 + sqrt(187)\/sqrt(11)).\nAnswer: -6 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(-6)*(20\/(-21))\/(-10)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = t - 4*b, -3*t = 2*t + 5*b - 45. Suppose -t*g = 5*l - 3*l - 18, -5*g = -4*l - 29. Suppose -g*z + 6 = -249. Is z a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -146, -283, -408, -515, -598, -651, -668, -643?\n\"Answer: u**3 - 144*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + 0. Solve 0*p - 2*p = t - v, 4*t + 5*p - 26 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51331 divided by 7.\nAnswer: -7333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of (-4)\/6 + (14 - 239666\/(-57))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) 4\/37 (c) -2\/11 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 222*q + 4*q**3 + 2*q**2 - 222*q wrt q?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/1 - (-1)\/(-1). Let u be b\/8 - 15\/(-12). Let t be (-48*(-21)\/18)\/(-6). Put -5, 2, t, u in increasing order.\nAnswer: t, -5, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -1051*h**2\/2 - 354*h + 1018. Differentiate y(t) with respect to t.\nAnswer: -1051","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1238 divided by -6?\nAnswer: 619\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-14))**(-6) assuming j is positive.\nAnswer: j**84","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54504028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 867?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 103*t - 722. Calculate s(-7).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3013910 divided by 45\nAnswer: 602782\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 66*m**2 + 14*m**2 - 2 - 1 + 20*m - 41*m**2. Let x(c) = 39*c**2 + 20*c - 4. Let w(d) = 4*v(d) - 3*x(d). Find the second derivative of w(l) wrt l.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 367348*a**3 + 239764*a**2 + 1 wrt a?\nAnswer: 2204088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**3 + 32*t**2 - 4*t + 82. Let y be b(16). Solve 0 = -j + v, y*v - 30 = -5*j + 13*v for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -0*v - v + 157, 0 = v + 3. Let n be 33\/(-2)*y\/15. Suppose -7*b + 3*b + n = 0. Does 11 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 754290 and 28710.\nAnswer: 8297190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -4*f - 1. Suppose 9 = -5*q - 3*j - 6, -2*q - 3*j + 3 = 0. Let n(r) = 3*r + 1. Let y(i) = q*n(i) - 5*w(i). Let m(h) = -3*h + 1. Give 3*m(g) + 4*y(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158787638?\nAnswer: 2, 79393819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 312 times 0.2?\nAnswer: 62.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -580*j**2 - 147*j + 4?\nAnswer: -1160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -7. Let l(d) be the second derivative of 0 + 3\/2*d**2 + 28*d - 1\/6*d**3 + 0*d**4 - 1\/20*d**5. Calculate l(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r + 0 + 7*r + 0 - 71*r**2 + 174*r**2 as c + g*r + y*r**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + (3 - 4) + 634. Suppose m = b - 0*b - d, 4*b - 3*m = 2546. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -281818612 to the nearest 100000.\nAnswer: -281800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n + n**4 - n**2 + 6*n - 2*n**2 + 3*n - 1 + 4*n**2 as c*n**4 + b*n**2 + h + x*n**3 + y*n and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 - -31. Solve 20 = 5*h - 0*h, 4*o + 5*h - 40 = w for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9*5\/15*1\/1. Put 1, j, -4 in descending order.\nAnswer: j, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 25965, 51934, 77903?\n\"Answer: 25969*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6 and -8326356.2.\nAnswer: -8326350.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (-14 + 25 + -26 - 0) - (0 - 28).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.92 and 0.092?\nAnswer: 0.08464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -a**4\/24 - 4*a**3\/3 - a**2 - 25. Let q(w) be the second derivative of l(w). Give q(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 + -42. Which is bigger: 6\/11 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62327393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*t**3 + 3*t**3 + 4 + 5 wrt t?\nAnswer: -15*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s. Let h(a) be the first derivative of -979*a**3\/3 + 1605. What is h(z(q))?\nAnswer: -979*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffp when three letters picked without replacement from pfpf?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 141473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of 0*t**5 - 26*t + 0 + 3\/5*t**6 + 0*t**4 + 0*t**2 + 23\/6*t**3. What is the second derivative of i(d) wrt d?\nAnswer: 216*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 795.\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 5 (b) -4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 414\nAnswer: 41.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(2\/(-4 + 14)). Let p be (i - 9) + -1 + 31. Suppose -22 = -4*x + p. Calculate the smallest common multiple of x and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3916*j**2 - 1955*j**2 - 1958*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aua when three letters picked without replacement from auauuauuaauauauaau.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 704.2503km to millimeters.\nAnswer: 704250300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((120\/(-5))\/6)\/((-90)\/9)*-5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005694073 a multiple of 311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0*o + 3*n = -7, 0 = 5*o - n + 2. What are the prime factors of (0 - (-8 + -1)) + o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -75 - 63?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3*g + 377 = 8*g, -3*x = 3*g - 387. Let u be 5\/(-30) - x\/(-12). Suppose 0 = b + c - 18, 2*c - 26 = -b - u. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 8 = 2*t + 8, -5*j = 4*t - 94. Let o = j - 11. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 4\/(80\/(-42)). Suppose 0*d + 6 = y + d, 24 = 4*y + 3*d. Suppose 0 = y*j + j + 35. What is the third biggest value in 1\/3, j, r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*n - 11 + 61 + 46. Let k = 0.1 - 0.05. Which is the nearest to k? (a) 1 (b) 3\/2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(117) + 5)**2.\nAnswer: 36*sqrt(13) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.005 * -0.133.\nAnswer: 0.000665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2471*28\/5292 - 4\/(-54).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -0.06 (c) -0.599285\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1562 is divided by 780.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1354, 1303, 1256, 1213, 1174, 1139?\nAnswer: 1108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, v: 2, l: 1}. Give prob of picking 1 l and 1 v.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -276*d. Let t be x(-9). Let v = 10469 - t. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8403*a**3*o**3 - 372*a**3*o**2 - 3*a*o**3*u**2 - a*o**2*u - a*o + 7*a*u**2 wrt o?\nAnswer: 50418*a**3 - 18*a*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 474.4542kg?\nAnswer: 474454200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14896 is divided by 94.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 207*i - 7 = 202*i, t - 2 = -2*i for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 364 and 13?\nAnswer: 4732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (126 - 97) + (-20 - 36)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -34*a - 427. Does 5 divide i(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 136*h*l**2*s + h*l*s - 1081*h*l - 2*l**4*s + 5*l**4 wrt l.\nAnswer: 272*h*s - 24*l**2*s + 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 418948026 to the nearest integer?\nAnswer: 748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - 2*4\/(-4). Let y be ((-5)\/g)\/(4\/(-16)). Solve -2 = -s - 0*z + y*z, 0 = -z - 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63 + -81.2. Let r = -18.199252 - v. Round r to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 614554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bi when two letters picked without replacement from bibejibbejbbj?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a century in months?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41115954*b - 26958118 wrt b.\nAnswer: 41115954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-4 + 24 + -28 - (2 + -15))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 13 = 4*v. Suppose -4*z + 14 = x, -11 = x - 3*z - v. Let m(q) = 3*q**2 + 3*q**x - 4*q**2. Let d(j) = 2*j. Give d(m(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.328 + 1.32799367. Round m to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, h: 4, w: 1, i: 2}. What is prob of picking 1 w and 1 o?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 715084 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 7*t**2 - 2*t + 10. Suppose -4*l - 3*d + 1 = 0, 3*l + 2*d - 1 = -0*d. Let s be ((l - -1) + -23)\/(-3). Calculate h(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -27*c**3 - 22*c**2 - 38?\nAnswer: -81*c**2 - 44*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-1\/10))\/s**(-3))**(-4) assuming s is positive.\nAnswer: s**(-78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -8*a + 3*a - 12, 0 = -3*a + 2*o + 6. Suppose a = f - 70 - 58. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 27*d**5 - 117*d**3 + 2*d**2 + 36*d - 8 = 0.\nAnswer: -2, -2\/3, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/3 (b) -1\/9 (c) 9 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a + 52*a + 87*a + 17*a.\nAnswer: 159*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 37004.01995 and 15464.\nAnswer: 52468.01995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5120 and 1847296?\nAnswer: 9236480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 7*z - 31. What is the least common multiple of 5 and w(6)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/2)\/((-100)\/(-51335)). Let i = a - -1229\/5. What is the common denominator of i and (13\/65)\/(-1*2\/(-14))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 69 + -209\/3. Put x, -1\/8, 2 in descending order.\nAnswer: 2, -1\/8, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 - c - 4. Is d(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**4 - 1051*o**3\/2 + 6911*o**2\/4 - 1333*o\/4 - 399\/2 = 0 for o.\nAnswer: -266, -1\/4, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 (base 12) in base 9?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, v: 4, l: 1, e: 2}. Give prob of sequence xv.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -25 + 49 + 2*t - 21 + 0*t. What is j(-7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b*(b*b\/b**(-28))\/b)*b**(-18)\/b*b assuming b is positive.\nAnswer: b**(-47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 10\/119 (b) -1\/6 (c) -1 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -570 divided by -52944?\nAnswer: 95\/8824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 2 - ((-6 - 0) + 12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**2 + 60676*f + 6353568 = 0. Calculate f.\nAnswer: -104, 15273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 461*l + 10204 - 224 = -9382 for l.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49731463 is divided by 421.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -5*b**2 + b. Let z be h(-1). Let r be (7\/28)\/(1\/z). What is the second biggest value in r, -0.3, -0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 7 = 4*p + 3, y + 28 = -4*p. Let h = -5 - y. What is the remainder when h is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (27\/(-2))\/((-27)\/180). Let n = y - 31. Calculate the remainder when n is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v = -16 - 28. Let s be (-7 + v)*(-104)\/4. Let a = 4 - -2. What is the greatest common factor of a and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23bf (base 16) to base 8.\nAnswer: 21677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1*sqrt(931) + 3 + (sqrt(931) - -2*sqrt(931)*-4) + sqrt(931) + -3*sqrt(931)*-1*3)**2.\nAnswer: 84*sqrt(19) + 3731","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6}. What is prob of sequence pppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 r when two letters picked without replacement from lrm?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**2 - 10*t + 3*t**2 + 2*t + 10*t**3 + 11*t to the form l + u*t**3 + s*t + a*t**2 and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1775*w + 1775*w - 3*w**2.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3}. Give prob of picking 3 d.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -133*b**3\/3 + 400*b**2\/3 - 269*b\/3 + 2\/3.\nAnswer: -(b - 2)*(b - 1)*(133*b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 3*t**2 - 11*t + 11. What is the units digit of c(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 12. Let w(o) = o**2 - 6*o + 1. Let v be w(7). Let f = v + -11. Which is the third smallest value? (a) 5 (b) i (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20\/3, 0.0427, 3, -1\/2 in decreasing order.\nAnswer: 20\/3, 3, 0.0427, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -28*y**2 + 3*y - 3. Let t(p) = -4 + 24*p - 28*p - 37*p**2 + 8*p + 9*p**2. What is 4*k(n) - 3*t(n)?\nAnswer: -28*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -32, 95, -4 in decreasing order.\nAnswer: 95, 3, -4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6464499*8.\nAnswer: -51715992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**4*v - 17636*j**3*v - 2*j**3 - 7*j*v - 2*j + 7994*v wrt j?\nAnswer: 24*j**2*v - 105816*j*v - 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4*d + 7464 = 0. Suppose -18*h - d - 5007 = 0. Round h to the nearest 10.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.641194ml in litres?\nAnswer: 0.001641194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-12)*(105\/(-28))\/(-3)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1103351430 (base 6) to base 9.\nAnswer: 24388360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 38*w**3 - 13*w**2 - 9*w - 15. Let h(c) = 20*c**3 - 6*c**2 - 4*c - 8. Let p(v) = 13*h(v) - 6*l(v). Let s be p(6). Round s to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1405.\nAnswer: 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -246 + 238. Let l = -0.3 + -0.7. Let v = -2.21 + 2.41. Sort l, q, v, 5.\nAnswer: q, l, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11164.25 millilitres in litres?\nAnswer: 11.16425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 242 = -g, 5*g + 0*g + 10 = 0. Find the second derivative of 0*y + 13*y**3 + f*y**3 + 2*y + 26 - 23 wrt y.\nAnswer: 558*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - l**2 + 90. Let a be n(0). Suppose -b - 4 = -1, 3*k - 2*b - 36 = 0. What is the highest common factor of a and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -5 - 12 + 0 - 1 + 3*s. Let w be x(6). Solve w = -2*k - 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/49 in -0.5, -825, 5, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**2. Let q(t) = 6*t - 10. Let l(j) be the first derivative of -j**2\/2 + j + 4. Let n(w) = -20*l(w) - 2*q(w). Calculate n(r(z)).\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 237*l - 242*l + 10. Which is smaller: 101 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 2*q - 14. Let d(f) = -2*f**2 - 5*f + 30. Give -3*d(o) - 7*t(o).\nAnswer: -o**2 + o + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 72 + -72.000031. Round z to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27969161, 55938326, 83907491?\nAnswer: 111876656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5865*k**2*y**3 + 4883*k**2*y**2 + 4*k**2*y - 2*k**2 + 13*k*y**3 wrt y?\nAnswer: 35190*k**2 + 78*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*v**2 + 2*v**3 + 24*v**2 - 4*v**3 + (-2*v + 2*v + 3*v**2)*(-2*v + 3 - 3) to t*v**3 + r*v**2 + i + y*v and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c - 4*c + c + 5*c - 4*c - 2*c + (-2*c + 0 + 0)*(5 - 3 + 0) + (2 + 0 + 4)*(2*c - 2*c - c).\nAnswer: -15*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of 706*o**2 - 54*o + 95. What is the first derivative of b(z) wrt z?\nAnswer: 1412","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 9 = -q. Suppose 2*l + 45 = q*l. Suppose 4*n - l = -n. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -23*h + 3. Calculate m(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 8\/3 (c) -1\/3 (d) -5 (e) 0 (f) 2\/7 (g) 13\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9299 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -141.8 + 162. Let u = -21.23 + n. What is u rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160502 - 954*p + 320972 - 160470.\nAnswer: -954*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 616727 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and 480.\nAnswer: 479.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven halves of a kilometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**5 + 4*b**4 - 2*b**3 - 4*b**2 + 3*b = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -877.2066 rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2 + 7*y - 13. Let w be b(-5). Let n be 0 + 0 - 2 - -2. Let x = 0 - n. Solve -4*r - 3*h + 6*h + 20 = x, w*h = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**2 + 30*a - 76. Determine l(-17).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (((-30)\/56)\/((-280)\/4032))\/((-135)\/126 - -1)\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*b - 114*b = -5*b + 2601 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*i - 19 = -7, -4*z + 3*i - 12 = 0. Let o be (-3)\/(-3) - (-3)\/3. Suppose 4*u + 7 - 2 = -5*n, -o*n - 10 = z. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 169 and 20660757.\nAnswer: 20660757","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.112? (a) -14 (b) -1\/4 (c) 52\/3 (d) 5 (e) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37084078 (base 9) to base 11.\nAnswer: -a25a200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 11\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8877.\nAnswer: 3, 11, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -525*a**3 + 405*a - 9 + 9 - 405*a.\nAnswer: -525*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54821 is divided by 124.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - 2. Let h = k - -11. Let b = h - 2. Put b, -0.1, -4 in ascending order.\nAnswer: -4, -0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*f + 143*f + 2*u - 32 = 0, 4*f + 4*u - 44 = 0. Solve -y + 4*s - 5 = 0, -14 = -2*s - f for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/((h\/(h\/h**(2\/17)))\/h))\/(h**5\/h))\/((h**1\/h)\/h)**(-41))\/(h**6*h*h**(-3\/4))**(-6\/11) assuming h is positive.\nAnswer: h**(-14851\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g*k*v + 2008246*g*k + g*v - k*v + 6950313*k - 4*v + 4 with respect to g.\nAnswer: -k*v + 2008246*k + v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41706 (base 10) to base 6.\nAnswer: -521030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - (sqrt(170) - (sqrt(170) - 2*sqrt(170)*-2))) + sqrt(170) - (sqrt(170) - 6*sqrt(170)*1))\/(sqrt(70)\/(sqrt(21)\/(sqrt(9)\/sqrt(3)))) + -5.\nAnswer: -5 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/9 greater than -10\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t + 69 - 56 = -10*t for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 4*o + 1. Give h(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -196?\nAnswer: 980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.3 + 17.5. Let l = -24 + g. Let c = l + -0.8. Is c greater than or equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1780 or -1784?\nAnswer: -1784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-143)\/(-130))\/(80\/3200)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a - 9. Let b be m(6). Suppose -3*h - h - 8 = -5*r, b*h = -r + 13. Suppose -4*y + 72 = -r*x, -3*x - x = -4. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 12. Is d <= -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of 0*h**3 + 7\/12*h**4 + 3\/2*h**2 + 0 - 6*h. What is the derivative of j(k) wrt k?\nAnswer: 14*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-15)*(-18)\/24*-3*1\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddis when four letters picked without replacement from {d: 3, i: 1, a: 2, s: 4}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + -3 + 2*sqrt(704) + -5 + (sqrt(704) + 1 + sqrt(704) + -5 - (sqrt(704) - (0 + sqrt(704) + 1))))**2 + 2.\nAnswer: -67876 + 2688*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 4*z + 21, -3*z + 0*j + 4*j - 6 = 0. Is z - 28\/(-8)*4942 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -763 > -757?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 291383 to the power of 1\/2, to the nearest integer?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 235, 635, 1195, 1915, 2795, 3835, 5035?\n\"Answer: 80*p**2 + 160*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 13. Let t = -5.5 + 5.6. What is the second biggest value in t, -4\/3, o?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 9?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 6*z - 7. Let x be k(7). Solve -m + x*m + 3 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**3\/2 - 2475*l**2\/8 + 10359*l\/4 + 16929\/8 = 0.\nAnswer: -627, -3\/4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.57287304748972 - 0.4?\nAnswer: 0.17287304748972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xyx when three letters picked without replacement from xyxyyyyy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -6568.8387?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h**2 - 160642 + 160642.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -63*q + 473*q - 530 + 4630 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -235032 - 246?\nAnswer: -235311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, t: 2, v: 1}. Give prob of sequence tzzt.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g = -d - 18*g + 28, -3*d + 4 = -g for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 714582150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 d, and 1 u when four letters picked without replacement from kdpmpdu.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/2)\/(22\/11). Let h be ((-42)\/7)\/(3\/w). What is the second derivative of 39*o**h + 37*o**4 + 5*o - 82*o**4 wrt o?\nAnswer: -72*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**5 - 2*t**4 + 2*t**4 + (2*t**3 + t**3 - t**3)*(t**2 - 2*t**2 - t**2) - 19*t**5 - 342*t**4 + 342*t**4.\nAnswer: -21*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -95234, -1\/6.\nAnswer: -95234, -1\/6, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 107*m - 2491. Determine o(-63).\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, u: 3, n: 1}. What is prob of sequence ss?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.6706 - 44.9806. What is r rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5*f**2 + 14*f**3 + 3*f**2 - 16*f**2 - 12 - 2*f + 1. Let v(m) = -5*m**3 + 3*m**2 + m + 4. What is -3*g(t) - 8*v(t)?\nAnswer: -2*t**3 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -537*d - 8904 - 5518 = 77 for d.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-30)*9\/(-76 + 22))\/(8\/6).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 5*k**2 + 6. Let u be y(-5). Let r be (u\/36)\/((20\/(-6))\/(-5)). Do -0.46 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -360*q. Let d(j) = 2*j. Give h(d(t)).\nAnswer: -720*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*q + 250 = u, -52 = -u - 5*q + 51 - 63 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 5*r**3 + 6*r**2 + 8*r + 6. Let h(d) = d**2. Let s(k) = -14*k**3 - 12*k**2 - 23*k - 17. Let j(x) = -5*h(x) + s(x). Give 17*c(n) + 6*j(n).\nAnswer: n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 402 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -323 times -0.16\nAnswer: 51.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l - 2*l + 4*l + (-3 - 3 + 4 + (4 - 2 - 1)*(-4 + 3 + 2))*(-2*l + 4*l - 4*l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226021.\nAnswer: 23, 31, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1944\/1 + (-3 - -4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((36\/5)\/(-2))\/((-96504)\/321680).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is h in h**5\/3 + 1256*h**4\/3 - 33343*h**3\/3 - 11762*h**2\/3 + 1002660*h + 3461400 = 0?\nAnswer: -1282, -5, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/20 + 64\/(-10). Let z be (4 - -1)*(-18)\/15. Let w = y - z. Solve -g = -w*g, -g + 4 = 4*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h + 45848 - 32761 + 36588.\nAnswer: 2*h + 49675","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, u: 5, r: 4}. Give prob of picking 1 u and 2 r.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 - -36. Suppose 4*h = k + 5*h, i = -4*k + 3*h + 35. Let g(y) = y**3 - 3*y**2 - 11*y + 2. Let z be g(k). Let f(r) = r**2 + 3*r - 1. Determine f(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.789271l in millilitres?\nAnswer: 7789.271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m + 6. Let u be -20 + 18 + (9 - 2). Suppose 2*w - 10 = z, u*w + 4 = -3*z + 7. Calculate g(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 429907*j**3 - 128*j**2 - 2*j + 8?\nAnswer: 2579442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/20)\/(1\/(-2)). Let u = -51618\/5 + 10324. Which is the closest to u? (a) f (b) -1\/31 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 4*c + 4*t - 0*t, -4*c + t - 17 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1579.7 rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -18*v**2 + 7*v + 16. Determine d(-2).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -5*x**3 + 2*x**2 + x. Let d be p(-1). Suppose 4*n = -3*o + 23, -2*n = 2*o - d*o - 28. Solve -7 = -5*c + n for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 11:29 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 10 = -6*a. Suppose a*z - 13 + 15 = 0. What is the common denominator of -63\/22 and z + -1 - (-314)\/12?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**4 + z**3 - z**3 + (171 - 171 + 13*z)*(-5*z**3 + z**3 + 3*z**3) + 67*z**3 - 67*z**3 - 24*z**4.\nAnswer: -38*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 10:08 AM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 64 = -3*c + 1, 2 = -2*c. What is the derivative of s*r + 21*r - 36 + 16 wrt r?\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - u**2 + 4*u - 5. Let h be v(2). Suppose m = -l, -3*m + 5*l - h = -39. Solve -k - 1 = -m for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -358 + 579. Suppose 0 = 3*b + 10*b - o. Calculate the highest common factor of b and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7196*r + 66896 - 297168 for r.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(80) + 4)**2.\nAnswer: 32*sqrt(5) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 26\/169 - (-4)\/(-26). Suppose -3*x + 244 = 253. What is the biggest value in -4, x, -0.049, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 4351, -27, -2\/141.\nAnswer: -27, -3\/5, -2\/141, 4351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i**2 - i**3 + 0*i**2 - i**4 + 2*i**3 - i as c*i + s*i**2 + h*i**3 + v + w*i**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 9*c + 13*c = 9*c, 0 = 4*h - 342*c + 339*c - 21 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*w + 20, 7*x - 2*x = -5*w + 50. Suppose 0 = 6*r - 16 - 20. Suppose r*d - 68 = -11*d. Put x, -4, d, 2 in increasing order.\nAnswer: -4, 2, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.8 smaller than -5996?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 72, -2 in decreasing order.\nAnswer: 72, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**4 + 9*f**3 + 141 wrt f.\nAnswer: 8*f**3 + 27*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2976 divided by 248?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338*y + 333*y = -g - 15, 4*g + 9 = 3*y for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g**4 - 10*g**3 + 10*g**3 - 2*g)*(-65 + 65 + 7*g).\nAnswer: 35*g**5 - 14*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -601 - -624. What is the remainder when 89 is divided by h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1786.59 hours to nanoseconds.\nAnswer: 6431724000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.9300785 to one decimal place.\nAnswer: 20.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*u = 17*u + 5. Suppose u*b = 23 - 8. Suppose -b*i = -4*j - 451, -5*i + 770 = 2*j - 5*j. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 13374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n\/n**11*n))\/n**(-4\/3)*n**(-2\/21)\/(n*(((n*n\/n**(-6)*n)\/n)\/n)\/n) assuming n is positive.\nAnswer: n**(110\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**4\/7 - 26*z**3\/7 - 74*z**2\/7 - 6*z\/7 + 108\/7 = 0.\nAnswer: -9, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/21 (b) -4467 (c) 0 (d) 7\/3 (e) 1\/2 (f) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -5*x + 20. Let c = -139 + 134. What is the tens digit of d(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10725759 and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.8 - -13. Let i = f + 0.1. Which is the smallest value? (a) i (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 1100000100000?\nAnswer: 1100000011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3607 * 15.\nAnswer: 5.4105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttvv when four letters picked without replacement from tvvtvvvvvvtvvtvt.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8052 is divided by 3167?\nAnswer: 1718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -296, -4, 0 in descending order.\nAnswer: 5, 0, -4, -296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, w: 2, a: 1, t: 1, i: 2, d: 1}. Give prob of sequence dn.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (82*g + 203*g - 3 + 3 + 125*g)*(9*g**4 + 3*g**4 - 4*g**4).\nAnswer: 3280*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 28. Let o = t - 18. Which is the third biggest value? (a) -5 (b) o (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -3*t. Suppose -2*n + 5*n - 15 = t. Let b(c) = -c**3 + 4*c**2 + 6*c - 3 - c + 2*c. What is b(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*x**2 + 4605*x + 4615*x - 9220*x - 4.\nAnswer: 24*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31.4739 - 74.7177. Let g = m + -0.0562. Let r = 5.3 + g. Which is greater: r or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14830 + -14832. Which is the closest to w? (a) -5\/17 (b) -4 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*o + 1. Let i be o*-1*15\/(-6). Let g be 16 + (1 - 15\/i). Solve 0 = 4*p + 2*l - g, 4*p = 6*p + 5*l - 26 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 27498 from -2.\nAnswer: -27500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.01+10.17\nAnswer: 10.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u**3 + 7*u**2 - 5*u - 5. Let w(k) = -17*k - 30. Let n be w(-2). What is the tens digit of d(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66263706 and 2190.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 89*a**3 - 3*a**2 + 17. Let t(x) = -90*x**3 + 4*x**2 - 17. Let v(m) = -6*p(m) - 5*t(m). Find the third derivative of v(b) wrt b.\nAnswer: -504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 85 and -176476004305.\nAnswer: -176476004220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 2:46 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*a - 0*c + 2*c, 3*c + 15 = 0. Suppose -6*d = -a*d - 6. Suppose d*f - 27 - 3 = 0. Which is smaller: f or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6132b (base 12) to base 7.\nAnswer: 1035062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-200012)\/12 - -1)*516. Round u to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) 4 (b) -29 (c) -0.5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/12)\/7*(-8)\/(-6).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 611 and 423?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r - 100 + 100 - r + 7*r**2.\nAnswer: 7*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 - 11. Let i = v + -14. Solve 0 = -i*l - m - 15, -2 = 3*l + 2*m + 3 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + -0.1. Let d = 0.162 + 0.238. Which is the closest to 2\/9? (a) d (b) -1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/(-30)*(5 - 114\/18). Solve -j*g**5 + 0 - 2\/5*g**2 + 0*g + 2\/5*g**4 + 2\/5*g**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1074 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 699 = -3*c - 3*r, 380 - 127 = -c + 3*r. Let s = c + 245. What is the closest to -1 in s, -4, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 14*k**2 - 1791*k + 38404. What is l(33)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 12. Let o = 23\/39 + -12\/13. Let s = -0.01 + -0.09. What is the closest to -0.1 in n, s, o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/7245738 and -95\/21737214?\nAnswer: 21737214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9982 less than -0.4?\nAnswer: -9982.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**4)\/(z\/z**(5\/3))*(z\/(z*z**(-1\/5)*z))\/z*z**(5\/2)*z assuming z is positive.\nAnswer: z**(-19\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 9:25 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 5*x + 10. Let y be (0\/5)\/(0 - x). Which is the nearest to -1? (a) y (b) 4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (55\/(-5) - -3)\/(1*-2). Suppose -698 = -f*q + 2326. Suppose 0*a - q = -9*a. What are the prime factors of a?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -7.1.\nAnswer: 3.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000034485 rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*c*p*q**3*x - c*p*q**2 + 2*c*p*q + 89*c*q**3 - 2*c*q**2*x - 4*q**2*x + 22*x wrt q?\nAnswer: 126*c*p*x + 534*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 8. Suppose 0 = -u*a + 1 + 3. Suppose -16 + 0 = -a*g. Is g a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**2 - 9*n**2 + 23*n**2 - 12*n**2 - 3*n**2 - 8*n**2.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 63991 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - -1 - ((44 - 26) + -19)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*i + 54*i + 63 - 3.\nAnswer: -22*i + 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -11, -0.3, 4, -2, -0.7, 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dyyyydzwzvzy. Give prob of picking 2 z, 1 y, and 1 v.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14933381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2915 and 106.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -96*o + 1 + 58*o - 3 + 40*o + 5. Calculate l(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 67.99479 millilitres?\nAnswer: 0.06799479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.475 and 1639.\nAnswer: -778.525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 220518 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 453 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1699167*b**2 - 849583*b**2 - 849583*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 318763384?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 11*p - 1. Suppose -30*n + 6*n + 264 = 0. Give t(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + z + 170 = 3*d, -5*d + 190 = -5*z. Suppose -d = 3*q + 18. Let t = -6 - q. Calculate the greatest common factor of t and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -35*a**3 + 5*a**2 + 15*a - 5. Let s(i) = -53*i**3 + 8*i**2 + 23*i - 8. Determine -8*k(w) + 5*s(w).\nAnswer: 15*w**3 - 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 149 - 2*k**2 - 298 + 149. Let p(q) = -3*q + 17. Give o(p(u)).\nAnswer: -18*u**2 + 204*u - 578","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 733*u + 1544*u + 236*u - 283375 = 246*u for u.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -556, -397, -76, 491, 1388, 2699, 4508?\nAnswer: 6899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*i - 16 + 62 = 0. What is the third smallest value in -159, 1\/12, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 362 divided by 929\nAnswer: 362\/929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - p + 7*p)*(-2 - 4*p + 2*p**2 + 4*p).\nAnswer: 8*p**3 - 8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1415 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 3:53 AM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 3*n = -12 - 44, -s = -n - 14. Suppose -s*u - 15 = -17*u. Let y(i) be the second derivative of 7*i**3\/6 - i. Let o(w) = 8*w. Give u*y(h) - 4*o(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -5*c**3 + 2*c**2 - 185*c + 565. Calculate w(3).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**3 + 17*s**2 + 213*s - 1772. What is o(8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124, -128, -136, -148, -164, -184?\nAnswer: -208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1101*v + 22 = -1096*v + z, 4*z = 5*v - 37 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -l**4\/8 - 3*l**3\/2 - 27*l**2\/4 + 19*l. Factor r(m).\nAnswer: -3*(m + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mcdeeemmeddmmem. What is prob of sequence ded?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/(-180)*(-10)\/44?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -17. What is the nearest to g in -2\/7, -1\/2, 12\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7315 by 4.\nAnswer: -7315\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (15\/6)\/(-5)*-4. Let w be 5*1 + -2 + m. Suppose -3*s - 4*x + 10 + 171 = 0, x = -w. What are the prime factors of s?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + 2)**2 + 5 + -3 + 4 + 0 + 0.\nAnswer: 40*sqrt(19) + 1910","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 113*f**2 - 467*f + 60. Determine k(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -430, 7 in decreasing order.\nAnswer: 7, -3, -430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 9:27 PM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -d**7\/168 - d**6\/60 + d**5\/40 + d**4\/6 + 7*d**3\/24 + d**2\/4 - 7*d. Factor c(a).\nAnswer: -(a - 2)*(a + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.6 and -0.143656.\nAnswer: 0.456344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of 0*m**2 + 11\/6*m**3 + 0*m**5 + 0*m**4 + 0 + 8*m + 2\/5*m**6. What is the second derivative of s(x) wrt x?\nAnswer: 144*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 - -14. Let m = 10 + f. Solve -n + 0*l - 4*l = -2, m = -4*n - 4*l + 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/3139 + -9421\/6278. What is the fourth smallest value in k, -1\/4, -4, 446?\nAnswer: 446","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 49, -209.4, -2, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 21*g - 1. Let a(c) = c. Let f(z) = -4*a(z) - o(z). Let j be f(-1). Let i = 77 - j. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1014, -4101, -9250, -16461?\nAnswer: -25734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q + 5*q - 4*q + 18*q + 3*q.\nAnswer: 25*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280 = -3*a + 19. Let z = 118 + a. Calculate the remainder when z is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x - 2*x + 5*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 - (-34 + (-6 - -22))) + (58 - 2)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - j + 15 = -9, 0 = 3*d + j - 14. Suppose 0 = d*u + 7 - 67. What is the common denominator of 250\/u - (5 + -7) and -33?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -434*k**2 + 0*k + k + 435*k**2. Let r(a) = 28*a**2 + 20*a. Let u(o) = o**2 + 29*o + 79. Let z be u(-26). What is z*r(j) - 20*q(j)?\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w - 110 = -411. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x + 25 = -9*x. Suppose 5*i + 2*k = 44, -4*i - x*k + 32 + 10 = 0. Calculate the lowest common multiple of 16 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 117 + -117. Let p(z) be the first derivative of 2 + 2*z + 1\/5*z**5 + 0*z**4 + c*z**3 + 0*z**2. Differentiate p(u) with respect to u.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) -1\/3 (b) -0.4 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 726320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.1 and 2854?\nAnswer: 3139.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2399558731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 6*y**3 - 6*y**2 + 3*y + 28. Let u(m) = -17*m**3 + 19*m**2 - 8*m - 83. Let o(i) = 8*l(i) + 3*u(i). Differentiate o(p) with respect to p.\nAnswer: -9*p**2 + 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 123, -1, -6 in decreasing order.\nAnswer: 123, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 - (-6 - -9) - -21*601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22.8 - -21. Let c = 1.5 + b. What is the closest to -1\/3 in -3, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 13 - 37 = 0. Let y = 23 + z. Let h(p) = -2*p**3 - 5*p**2 - 5. Let r(f) = f**3 + 2*f**2 + 2. Calculate y*h(m) - 5*r(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -570*q = 1546 + 14984 for q.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 9*r = 14*r + 45, 2*m - 43 = 3*r. Suppose 3*h + 3*p - 228 = 0, -2*h + 56 = 5*p - 87. What is the remainder when h is divided by m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17928.1 + 11787.2. Let p = k - 29721.29988. Let f = p - -6. What is f rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 399 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/249?\nAnswer: -1\/249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -7*r - 40. Calculate j(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42 - 46. Let j = -4\/5 - r. Solve 64\/5*u**2 + 0 - j*u - 28\/5*u**3 = 0.\nAnswer: 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**4\/5 + 4812*w**3\/5 + 9602*w**2\/5 - 33648*w\/5 + 19232\/5 = 0?\nAnswer: -2404, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/5))**(-17)*p*p*p**7*p*p**(19\/2) assuming p is positive.\nAnswer: p**(93\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 95363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z + 165. Give w(42).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -6*k. Let b(l) = 57 + 7*l**2 + 73 - 124. Determine h(b(a)).\nAnswer: -42*a**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*q**3 - 8 + 4 + 4 + 55*q**2 wrt q.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o - 4*o**3 - o**2 - 12*o**3 - 2*o**4 + 15*o**3 to u*o + k + x*o**2 + w*o**3 + h*o**4 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 22*b + 15. Let a be n(-18). Let g = 61 + a. Solve g*v + 4*f + 4 = -0, 0 = -v - 4*f - 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -228.847925 - -225.448. Let b = w - -3.4. Round b to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**3 - 1 + 1 + (-375*z + 99*z**2 + 375*z)*(20*z - 112 + 112).\nAnswer: 1981*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eeezeezezeeeeezzezz.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kpo when three letters picked without replacement from {o: 12, k: 1, p: 7}?\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110101 + -1110010011111010111?\nAnswer: -1110010100000001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4) + 5\/(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -235 by -5.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*f + 1580 = -5*h, 5*f = -3*h - 985. Let r = h - -535. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**3\/4 + 93*y**2\/4 + 435*y\/4 - 525\/4 = 0. What is y?\nAnswer: -5, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 365876 and 365865 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-11)\/15 - 2\/(-5). Let l be 4\/(-3)*(-3)\/2. Suppose -l + 3 = u. What is the third smallest value in 0.2, u, b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 172 - 77. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 39*l**3 - 4*l**2 + 125*l + 31. Is s(25) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008512401 to five decimal places.\nAnswer: 0.00085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 - 3)*(-4 + 0 + 5)*(-c + c + 2*c**2) - c**2 - 3*c**2 + 3*c**2 + (1 - 1 - c)*(3 + c - 3).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 5*q + 4*o, 2*q + 50*o = 46*o + 34. Solve -3*g = 2*r - 6, -6 = q*r - 5*r - 3*g for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3564) - -6*((4*sqrt(3564) - sqrt(3564)) + sqrt(3564)))\/(5*sqrt(324)*-1).\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.09*-595019\nAnswer: -53551.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1707.\nAnswer: 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p - d + 78 = p + 4*p, -5*p - 591 = -d - 493 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yumyytmyu. Give prob of sequence ut.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 378 and 194430096.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a*i**2*m*y - 2*a*i**2*y + 3*a*i*m + a + 221*i**2*m + i*y - m*y + 10 wrt i?\nAnswer: 2*a*m*y - 4*a*y + 442*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14010 divided by 3.\nAnswer: 4670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -99 * 0.7\nAnswer: -69.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 - 42 = 5*g. What is the tens digit of 5\/(30\/(-4))*g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/2*((-20)\/(-192)*4)\/((-345)\/552).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14702745229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -r**3\/6 + 2*r**2 + 1205*r. Let o(k) = 1. Give 2*a(g) - 14*o(g).\nAnswer: -2*g - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*b**4 - b**4 - b**4 + (2*b - 3*b + 3*b)*(-3*b**3 + 620*b - 620*b).\nAnswer: -28*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 4172?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*z + 21 = 0. Let y = z + 4. Let i be 3*(8\/y)\/(-4). Solve -s + i = -0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8588 divided by -2147.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p - 312 - 5445 = 0. What is the remainder when p is divided by 77?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3371476 is divided by 44?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**5 - 14*y**4 + 36*y**3 - 40*y**2 + 16*y = 0 for y.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-29)\/(c*c\/(c*c**14*c*c))*(c*c\/(c*c**(-19)*c))**(-2\/19) assuming c is positive.\nAnswer: c**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 1712*u + 296. Let x(a) = 8568*a + 1478. Let f(b) = -16*r(b) + 3*x(b). What is the first derivative of f(i) wrt i?\nAnswer: -1688","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*m - 40 = 12*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183*d - 129*d - 174*d - 134*d + 728*d.\nAnswer: 108*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 7 = t, 2*t + 1 = -i + 2. Let p(a) be the first derivative of -2*a**t + 9*a - 15*a**3 + 25 + 8*a**3. Find the first derivative of p(s) wrt s.\nAnswer: -54*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*d + 9. Let n = -4 + 4. Solve -w + n - d = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 + 10122*l**2 - 264693*l + 1723800.\nAnswer: 3*(l - 13)**2*(l + 3400)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 78950.35 litres in millilitres?\nAnswer: 78950350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**3 + 0*b**3 - 3*b**3 - b**3.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 201273872 to the nearest integer?\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/61 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*x - 10*x - 25*x - 25*x.\nAnswer: -36*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*(((i\/(i**(2\/3)*i*i*i))\/i)\/i)\/i*i**6 assuming i is positive.\nAnswer: i**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -7.4. Let u = d + -0.9. Let i = -695.2 + 695.2. Which is the biggest value? (a) 5 (b) u (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -607*o + 7135. Give j(12).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/78 and -69\/88.\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -36135.95 rounded to the nearest 1000?\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + z + 2. Let t be r(-2). Suppose -s + 3 = t. Let g be -1*(1 + s - 5). Solve -g*l + 0*l + 5 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.2 plus 7925130?\nAnswer: 7925124.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2243*i - 2629*i - 1.\nAnswer: -386*i","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-53 - -18) + (-51)\/(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**2 - 460*z - 10023. Give f(-20).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(260) + sqrt(260)*-2 - sqrt(260)) + sqrt(260))\/sqrt(5))\/(sqrt(4) - (sqrt(12)\/sqrt(3) - sqrt(4))*3))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b - b**2 + 3*b**2 + b - b**3. Let s be f(2). Suppose 18 = 5*t + s*y, t - 15 = -3*t - 3*y. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + -0.2. Suppose 5*y + 2*n - 18 = n, 7*n + 18 = y. Which is the closest to d? (a) y (b) 14\/9 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 380082 + -225752. Round w to the nearest 1000.\nAnswer: 154000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {f: 7, v: 5}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63 - -97. Suppose r = 3*x - 14. What is the highest common divisor of x and 208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 11:31 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -6488.\nAnswer: 3244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2738 - -2770. What is the remainder when 408 is divided by o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 2*k - 7. Let x be o(-6). Let q(h) = -h**3 + 19*h**2 - 32*h - 11. Calculate the remainder when q(x) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*l**2\/11 - 996067836*l\/11 + 41339630579738454\/11.\nAnswer: 6*(l - 83005653)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.019889 rounded to three decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10384 + -10384.2. What is the nearest to -5\/136 in -4\/5, 4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*c + 16*c - 53*c + 16*c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 10:02 AM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -9540564.9 to the nearest ten thousand.\nAnswer: -9540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c - 20. Let k = 280 - 273. Let b be g(k). Let u(x) = -10*x**3 + 8*x**2 + 6*x. Let o(l) = l**3 - l**2 - l. Determine b*u(p) + 8*o(p).\nAnswer: -2*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 12*l**2 + 35*l + 147. Calculate x(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232244848?\nAnswer: 2, 11, 311, 4243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 4:21 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -c**6\/24 - c**5\/10 - 4*c**3\/3 - c**2 - 5. Find the first derivative of i(k) wrt k.\nAnswer: -15*k**2 - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 76 = 2*d, 2*d - 4*b - 59 = 21. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 4*a - 5. Calculate u(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4757525657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 17426916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -545 and -7619\/14 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1103 + 1635. What are the prime factors of m?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4262?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -811402 divided by 15?\nAnswer: -811402\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/78580 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 15, -3*o - 5*c + 2*c = 9. Let h be 38\/14 - (-2)\/7. Solve -h*s + 6*s - 12 = o for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**3 - 6*h**2 + 2*h**2 + 2*h**2 + 10480.\nAnswer: -3*h**3 - 2*h**2 + 10480","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 29*-1*4\/6*-3 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 0, -29, -90, -195, -356, -585, -894?\nAnswer: -1295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 8. Let g = h - -1. Suppose 106 = 4*o - 2*c, -44 = -2*o - g*c + 4*c. Is o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 42*a - 41 = -37*a, 2 = 3*d + 2*a for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10137270 and 1320?\nAnswer: 40549080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218659.\nAnswer: 7, 31237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/95 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-996)\/(-8))\/(4\/8)?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-6 - -4 - -2 - -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -279*k**2 + 139*k**2 + 141*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of 1\/70*u**7 + 0*u**3 + 0*u**4 + 3\/100*u**5 + 0 + 0*u**2 + 1\/25*u**6 - u. Let i(n) = 0. What is n?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4*o + 36 = 0. Let m(z) = 5 + 0*z**2 - 2*z**3 + z**3 + 2*z**2 + 4*z. Give m(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + -1)*(-10)\/(-20). Let l be -2*(1 + -4) + (-1)\/1. Solve -l*s + 20 = 0, 4*s - a = 5*u - 0*s for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 730216 is divided by 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -17059, -34116, -51173, -68230, -85287, -102344?\n\"Answer: -17057*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*z + 5. Let v be (-5 + z)\/(-1 - 0). Solve 3*r + 6 + 0 = 2*c, -3*r + v*c = -3 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -24, 2\/11, -35\/3, -0.9, 2, 0?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w - 1 + 1)*(0 + 5 + 7*w - 6) to p + j*w**2 + o*w and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2159 + 0.4159. What is the fourth smallest value in z, 1\/2, -0.1, 752?\nAnswer: 752","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 5*y**2 + 2*y - 7. Let w(f) = -f**3 - 16*f**2 + 13*f - 4. Let l be w(-17). Suppose 0 = 6*d + l - 34. Give x(d).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 215870211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/103 and -73\/9.\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 874 and 152.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5*l**2 - 11*l - 11. Let m(u) be the third derivative of 0*u + 2\/3*u**3 + 4*u**2 + 0 + 1\/30*u**5 + 1\/6*u**4. What is 4*d(o) + 11*m(o)?\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13023222 + -3?\nAnswer: 13023213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/4217431 or -15\/11?\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-92)\/(-552))\/(1\/(-10))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.6 - 6. Let p = -1.8 + x. Which is the nearest to 1? (a) 4 (b) p (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -2\/21, -5, -0.5, -4\/15 in decreasing order.\nAnswer: 2, -2\/21, -4\/15, -0.5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 394, 395, 396, 397, 398, 399?\n\"Answer: n + 393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 99*o - 85*o - 196. Let a(w) = w**3 + 3*w**2 - 3*w - 7. Let h be a(-3). Calculate the highest common factor of h and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 - (-3 + -2)) + -7. Suppose -c = -w*s - 606, -1967 = -5*c + 5*s + 1093. List the prime factors of c.\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12477759 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 2, -4, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5031725 (base 10) to base 12\nAnswer: -1827a65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 + 84)\/((-1)\/(-4)). Calculate the highest common factor of r and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of v**5\/20 + 7*v**4\/12 - v**3\/3 + 3*v**2\/2 - 7*v. Give i(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 6:39 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 25 = 5*g, 0 = -2*g - 2*g - 3*l + 39. Let s(p) = -p + 2. Calculate the remainder when s(-2) is divided by g + 1*(-1 + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 590.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 22341677 divided by -1\nAnswer: -22341677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65101 is divided by 104.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 560 a factor of 1924158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 r when three letters picked without replacement from {k: 2, r: 2, u: 1, y: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -1 - 58*j**2 + 15*j**2 + 21*j**2. What is m(-1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 48, -327, -1290, -3117, -6084, -10467?\n\"Answer: -46*c**3 - 18*c**2 + c + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1876200 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: Is 5941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5\/(4 - -1))\/(-39 + 37))\/((-3)\/(-180)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3104\/(-6984) - (1490\/(-720) - (-6)\/4).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 499328261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*h - 127*h = 0. Suppose -4*j = -4*k + 12, 0*k - k = -4. Which is the nearest to j? (a) 1\/3 (b) h (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 21 - 3*p + 7*p - 2 in the form t + i*p and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i. Let z(s) = 2*s**2 + 460. Determine u(z(p)).\nAnswer: -4*p**2 - 920","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 76323571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 98\/343*(0 + 21). Solve 5*i + b = -4*u, 2*i + 0 = u - 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14410331 (base 5) to base 15\nAnswer: 308b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of 13*w**7\/35 - w**5\/30 + 841*w**4\/24 + 274*w**2 + 3. What is the second derivative of q(g) wrt g?\nAnswer: 936*g**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 5*u - 110, 17*l - 30 = -2*u + 21*l. Suppose 4*r + 5*j - 25 = 0, 4*r - u = 3*r - 5*j. Solve r*d + 2*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*j**3 + 37*j**2 + 29*j**2 - 69*j**2 + (-5 + 5 + 2*j)*(-3*j + 3*j + j**2).\nAnswer: 11*j**3 - 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -11) + (-4)\/(-1 + 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 27.2.\nAnswer: -8.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 392 + 13. Calculate the greatest common divisor of 180 and c.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115420 rounded to the nearest one thousand?\nAnswer: 115000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - n - 2)*((26 - 26 + n)*(2 + 1 + 1) - 105*n + 9*n - 26*n).\nAnswer: 118*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) -22 (c) -46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -373*n - 3118 - 2850 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -28 equal to -1\/108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(187) + (-2*sqrt(187) - sqrt(187)) - sqrt(187))*-1)\/(sqrt(55)\/(sqrt(5) - (sqrt(5) + sqrt(25)\/sqrt(5))) - sqrt(11)))**2.\nAnswer: 153\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*v**3 - 32*v**2 - 6*v + 32.\nAnswer: 2*(v - 1)*(v + 1)*(3*v - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27881 divided by -7.\nAnswer: 3983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 564875831 and 1612?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -625*h - 126 + 7001 = 0 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 2, -2.\nAnswer: -5, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4007118*d + 4*d**3 + 4007118*d.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354856 is divided by 1491.\nAnswer: 1489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44.6 + 2.4. Let v = 61.7 + -12.7. Let l = w - v. Does l = -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(3\/4)*s\/(s*s\/s**(4\/11)))**(-26\/5))**28 assuming s is positive.\nAnswer: s**(-182\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 2:39 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21475?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*o**2 + 0*o**2 - 2*o**2)*(-99 + 46 - 54) as s*o**2 + q + p*o and give s.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -8, -11, 5 in descending order.\nAnswer: 5, 4, -3, -8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.827 - 5.827. What is the fourth biggest value in -0.2, -0.058, -3\/2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/4366638 and 13\/4366638.\nAnswer: 4366638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -73723 + 3?\nAnswer: -73720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*2*(-9)\/(-9). Suppose 3*t = 2*u - 16, -f*u + 22 = t + 4. Suppose -u*w + 2 = -13. Calculate the greatest common factor of w and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6 + -1)*(-56)\/(-20). Suppose 0 = -2*x + l. Suppose x = q + 3, -3*q - 76 = -4*b. Does 11 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3190992 is divided by 5530?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 10:15 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + v - 3 = -3*q, 0 = q + 3*v + 11. Suppose -l + 3 + q = 0. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2573 + 62609?\nAnswer: 65182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 7*j**3 - j**2 + j - 3. Let l be i(-2). Let h = l + 145. Is 17 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50.87 + -12899623\nAnswer: -12899572.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 5*k - a - 60, -5*k = -3*a - 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s. Suppose 3*d = -0 + 6. Let a(l) = 5*l**d - 6*l**2 + 3*l**2. What is r(a(p))?\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 519011539 to the power of 1\/3, to the nearest integer?\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 156832799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-906)\/(-453)*(-21)\/(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + 2)*(-2*j + j - j) + 5*j - j - 2*j)*(-5 - 4 - 1)*(-j + 0*j + 0*j).\nAnswer: -20*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dda when three letters picked without replacement from {y: 4, a: 6, l: 1, u: 2, d: 4}?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12271362 is divided by 959?\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -12*d**2 + 2*d + 4. Let k be x(-1). What is the hundreds digit of (-1018)\/8*(0 + k + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.198 equal to 4819\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 9798, 9814, 9830, 9846?\n\"Answer: 16*t + 9782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 16*u**2 - 2*u - 1. Let g be w(-1). Suppose 3*o = 49 + g. Suppose -4*v + 5*d + 26 = 0, 6*d + o = 3*v + d. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 12*y + 24 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 12:23 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 r, 1 f, and 1 p when four letters picked without replacement from ssspssrsfssffhffhsfs.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -29943, -242054, -818519, -1941516, -3793223, -6555818, -10411479, -15542384?\n\"Answer: -30363*u**3 + u**2 + 427*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12288995 is divided by 2448.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 1451?\nAnswer: 1453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dbrse. What is prob of sequence er?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 2*h - 8 = 0, -11*a - 2*h - 12 = -7*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 + 4*i**2 - i**2)*(0*i + i + i) - 5*i**3 - i**3 + i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 2:04 PM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12774\/29 or 3\/5?\nAnswer: 12774\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(189)\/sqrt(9)*-6)\/sqrt(7) + (4 + -5*sqrt(3))**2*1)*2.\nAnswer: -92*sqrt(3) + 182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, 1\/6, 2, -34\/29, 14, 0, -32?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 380\/13, -3, 0.\nAnswer: -3, 0, 380\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158765 is divided by 2838.\nAnswer: 2675","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3*l - 30. Let z(p) = p**3 + 5*p**2 - 7*p + 7. Let w be z(l). Solve -2*n = -v - 4, 2*v = 3*n + 5 - w for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1164*a + 22 = 1159*a + 42*o, 14*a = 4*o + 52 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 - 6*m + 8*m + 0*m in the form d + f*m and give d.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/5))**16*t\/t**(1\/8)*t**(1\/3)\/t)**(-1\/14) assuming t is positive.\nAnswer: t**(743\/1680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -1037*o**3 + 2*o**2 - 2. Let r(l) = -5185*l**3 + 11*l**2 - 11. Calculate 11*h(f) - 2*r(f).\nAnswer: -1037*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1.788313*-0.1\nAnswer: 0.1788313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 341 and 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -15 + 16 + (-31 - (0 - -2)). Let c = -20 - b. Let i be (10 - c)*(-1 + -1). Solve i*v - 5 = -17 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-80)\/(-15))\/8*-1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21086200.\nAnswer: 2, 5, 19, 31, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -103630264 (base 7) in base 10?\nAnswer: -6225937","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 + 10*b - 1955. Give g(-34).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 2*f. Let s be u(-2). Let g be (-1*s)\/((-12)\/9). Solve -g = 5*a - 5*b - 28, -25 = -5*a - b for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30017*y**3 + 15010*y**3 + 14*y**2 + 15003*y**3 - 42*y**2 - 40*y**2 to j*y**3 + c + g*y**2 + k*y and give g.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 327? (a) 3\/73 (b) 6 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 13*g**2 - 34*g + 116. Suppose 7*u + 24 = 13*u. What are the prime factors of d(u)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.997 - -0.097. Let d = -4.9 - -3.02. Let g = b - d. Is 2 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-3 + -3 - (-1 + -2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/47712774 and 49\/54.\nAnswer: 429414966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*2\/8*-11*(-13)\/(-143).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + -12. Let i be ((-16)\/(-10))\/((-1)\/(-10)). Let m = i - t. 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: Is 32438659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4*t**2 + t - 2*t**2 + 0*t**2 - 11 - t**2. Let u be y(-8). Let w = 26 - 8. Calculate the greatest common factor of u and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-68)\/(-20) - 3 - (-6216)\/(-40). Let o be (651\/q)\/(1\/(-5)). Solve 5 = -o*v + 20*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.117 + -0.06047887508?\nAnswer: 0.05652112492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3\/68 + 265\/612. Let g = s + 1\/9. Determine i so that 0 - 1\/2*i**2 + g*i**4 + 1\/2*i - 1\/2*i**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 5*o**2 - 2. Suppose 0 = 4*u - 19 - 1. Suppose -4*l + 231 = u*h, -5*l + 4*l = -4*h - 63. Calculate the remainder when l is divided by d(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of 353*w**4\/12 - 395*w**3\/3 + 359*w. Find the second derivative of c(q) wrt q.\nAnswer: 706","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55 + 98. Let h = f - -12. Let s = h + -28. Is s even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2437980739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -k + 11, -2*l = k - 839387. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**3 - d - 1. Let z(k) be the third derivative of -k**6\/120 + k**4\/24 + k**3\/6 + 2*k**2. Suppose 442 = -647*u - 205. Calculate u*b(q) - z(q).\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(567))\/(sqrt(27)\/sqrt(3)*3) + (-3*sqrt(84)*2 - sqrt(84))\/(6*sqrt(48)\/sqrt(4)).\nAnswer: 23*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from owwwow?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3964 - -3964.000006492. What is c rounded to 7 dps?\nAnswer: 0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g\/((g**(-14)\/g*g*g)\/g))*g\/g**(4\/15) assuming g is positive.\nAnswer: g**(-199\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -4*m - 216, -3*m - 158 - 15 = 4*r. Let z(i) = -5*i. Let g be z(-1). Which is bigger: g or r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.9 times 265?\nAnswer: 3418.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 10 = -28. Solve -3 = 5*p + 5*u + 17, v*u = -12 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (185\/(-74))\/(((-5)\/(-3))\/(-1)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**3 - 10*p**2 - 5*p - 7. Give b(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 31.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 18 = 2*v. Suppose v = 4*t - 14. Suppose -c + 4*a = -a - 17, t*c - 5*a = 45. Calculate the remainder when c is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 433 = -2108*j - 3341 - 3712 - 5162 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 4:38 AM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 635 a factor of 155235345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 1.8. Let u = h + -0.2. Let j be (-4)\/6 - (-32)\/30. What is the biggest value in j, u, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-162)\/(-6))\/9*(6\/4)\/(1170\/(-10400)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 132677, 132678, 132679?\nAnswer: 132680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 10:20 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 115 + -116. Let b be 1*g\/(-2) + 275\/10. Suppose 0 = -v - 9 + b. Solve -3*n - 4 = -v for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -2, -431, 0 in descending order.\nAnswer: 24, 0, -2, -431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2956, -2953, -2940, -2911, -2860, -2781, -2668, -2515?\nAnswer: -2316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 33*y - 84. What is g(-16)?\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 110 and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6*n**3 - n - 4. Let h(k) = 2*k**3 + 3*k - 1. Let s(c) = c**3 + 2*c - 1. Let w(b) = -2*h(b) + 3*s(b). Give l(a) - 4*w(a).\nAnswer: -2*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -312320 rounded to the nearest ten thousand?\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1226772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -4*u - 2*m, u + 4*m + 2 = m for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-7) - (42\/(-70))\/((-2)\/20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -24 + (703 - 708) - -64?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 751.4701t in micrograms?\nAnswer: 751470100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.2 + 0.3. Let s = 23.4 + -21. Let j = s - c. What is j rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 t, and 1 x when three letters picked without replacement from hkhxkthhxtxhxhtxotxx.\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/14*14\/(-12)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*l = -17, -11*y = -6*y + 3*l - 3. Find the third derivative of 92*b + 92*b - 184*b + 8*b**y - 198*b**2 + 3*b**3 wrt b.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 2 + 2 + 3 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -42, -20, 3, -7, -4 in descending order.\nAnswer: 5, 3, -4, -7, -20, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2 = 4. Suppose -u*w = -w - 4. Let o = w - 4. Is -2\/5 >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 4*d - 7*d - 10 = 0, y = 9*d - 11*d + 6*d + 14 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.89 + 0.51. Let o = m - 5. Let q = -0.1286 - -0.0286. What is the third biggest value in q, o, -1\/4, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -680 divided by -20.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 - 6. Let a be q(-2). Let d be (-4)\/(-3)*(-45)\/(-20). Determine f, given that -5*f**3 - 2*f**2 - d*f + 7*f**a - 5 + 8*f = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7258688*c**3 + 372*c + 14020?\nAnswer: 43552128*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*p - 9 - 6 + 12 in the form k*p + h and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 4*l**2 + l - 5. Let d(q) = -5*q**3 + 16*q**2 + 5*q - 20. Let f(u) = -2*d(u) + 9*j(u). Let y be f(-4). Let a = 308 - 307. Sort y, a, 3.\nAnswer: y, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*u + 6*u + 8768 = 0, -u = -2*a - 4394. Let k = 4945 + a. Round k to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1070 = -7492\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 816 and 32?\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/15))**(2\/55) assuming z is positive.\nAnswer: z**(-4\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75622 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -609\/34 or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 + 3*x**3 + 4*x**2 + 16*x**3 - 5*x**2.\nAnswer: 19*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 3*z - 42619, -42617 = -5*a - 95*z + 99*z. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 2*a - 12, 2*a = -w - 1 + 14 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/1539638 and -9\/472264?\nAnswer: 1521162344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 134\/8583769 or -1?\nAnswer: 134\/8583769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2455.69 weeks?\nAnswer: 1485201312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74952307?\nAnswer: 223, 336109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1589795 is divided by 31?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2*t = -10, 0 = 3*b + 4*t - 18 + 12. Let i(x) = -4 - 81*x**3 - x**2 + 80*x**3 - 4*x**b. Give i(-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r - 22. Let s(v) = -2*v + 20. Let o be s(7). Let h be m(o). Solve 7 + 3 = h*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-4))\/(6\/20*1405\/(-28662)). Solve -u + b = -9, 5*u = -n*b + 12*b - 5 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6876329 is divided by 1719081?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19126 and 43946.\nAnswer: 5756926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1a2 (base 11) to base 16\nAnswer: -e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2. Let s(h) = -1468*h. Give s(z(b)).\nAnswer: -1468*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 14*s**2 - 16*s - 5. Let v be y(-15). Suppose -v*n + 5*n = 0. Solve -o + 7 - 2 = n for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by 210\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 9) + (126 - (44 + 17)) + -13?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/133))**(-1\/20))**(-2\/13) assuming k is positive.\nAnswer: k**(1\/8645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 13*a - 155. Let f be u(11). List the prime factors of 524 - (-6)\/24*f.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f - 3*c - 35, -2*c - c - 15 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1326946*x**3 - 1597914*x - 1.\nAnswer: 7961676*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y - 216. Let h(f) be the second derivative of f**4\/12 + f - 4. What is h(a(r))?\nAnswer: 4*r**2 + 864*r + 46656","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5*b**3 - 23*b**2 - 761*b - 3850. What is m(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 23170 and 23167 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1124 = 2*l + 5*i, -5*l + i = -721 - 2116. Calculate the highest common factor of l and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0195 plus 0.0476179?\nAnswer: 0.0281179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 16 - 6. Suppose 2*z - 5*s - 69 = -2*z, -w*z + 77 = 3*s. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 40*s - 390. Determine m(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**3\/5 - 37*x**2 - 367*x\/5 - 183\/5 = 0.\nAnswer: -183, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -f**9\/3780 + f**5\/60 - f**4\/6 + 3*f**2. Let l(b) be the second derivative of t(b). Differentiate l(p) wrt p.\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4 = 3*d, 119 + 1 = 5*r + 5*d. Let j(x) = -1. Let p(s) = s**2 - 18*s - 2. Let o(q) = -4*j(q) + p(q). What is o(r)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of z**4\/4 - 5*z**3\/3 - 4*z**2 + z + 1. Give t(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -4. Suppose 2*a + c = 9. Suppose -w = a*h - 4 - 5, 0 = 3*w. Solve h*d + 15 = -0*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8794, 17607, 26422, 35239, 44058?\n\"Answer: s**2 + 8810*s - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand u + 0 + 0 + 2*u + 4 - 4 + (0 - 5 + 3)*(-3*u + 3*u + 2*u) - 13*u + 0*u + 2*u - u + 4*u - 7*u + 1.\nAnswer: -16*u + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2428569, 9714283, 21857141, 38857143, 60714289?\n\"Answer: 2428572*s**2 - 2*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, s: 2, u: 3}. What is prob of sequence su?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 90*g - 573 + 213. Let f = 0.23 + 0.07. Which is the fourth smallest value? (a) -2\/11 (b) f (c) -3 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17617, -35220, -52813, -70390, -87945, -105472, -122965, -140418?\nAnswer: -157825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2043 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 266 - 134. Calculate the greatest common factor of s and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 6 - 6 = 0. Suppose t = 7*a - 351 + 78. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 123 = -4*p - 3*l, -4*l = -3*p + 69. Suppose -3*x = -3*a + p, -3*a - x - 5 = 4*x. Calculate the lowest common multiple of a and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-3 - -6 - (3 - 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 282 + -265. Solve -63 = 16*s + t for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-52)\/(-156)*6\/(-10))\/(6*(-6)\/7740)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 970259939?\nAnswer: 11, 1433, 61553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/((-1)\/1*-1). Let i = k - 1. Let g = 0 - -2. What is the remainder when i is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -6, 1, -40, -0.008?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 316361.\nAnswer: 9\/316361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 92, -43, -274, -607, -1048?\n\"Answer: -u**3 - 42*u**2 - 2*u + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 0 + 50. Find the common denominator of (80\/28)\/((-4)\/a) and ((-232)\/64)\/((-7)\/42).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t + 15 = 4*r + 10*t, 4*r - 2*t = 10 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**2\/3 - 314*q\/3 + 1288\/3 = 0 for q.\nAnswer: -161, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*(-12)\/(-135)*245\/(-882))\/(4\/(-3)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/13, 1, 6\/17, -3, -1\/5 in increasing order.\nAnswer: -3, -1\/5, 1\/13, 6\/17, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, d: 9}. Give prob of sequence ddd.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of 0*j - j**2 + 0*j**3 + 0 + 0*j**4 + 1\/15*j**5. Let q(y) = y**2. Determine q(f(u)).\nAnswer: 16*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -941\/3 - -310. Let b = x - -10\/3. What is the closest to -2\/7 in -0.1, 7\/3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5819281329.9999813 - 5819281754. Let l = -424 - n. Round l to six decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1497994 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*s - 3*s**2 - 18*s)*((5*s + s - 3*s)*(s - s**2 - s) + 3*s**3 - 11 + s**3 - 2*s**3).\nAnswer: 3*s**5 + 33*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 458599 <= 7796204\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 7*v**2 - 6*v + 7. Let n be w(-6). Let t be 0 + -3 - (4 - n). Suppose -p - 2*p + 99 = t. Calculate the greatest common factor of 11 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 60116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 868, 1966, 3064, 4162?\n\"Answer: 1098*h - 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/5 - ((-468)\/30)\/13. Solve 4*j = -3*i - 17 - 0, -a*i + 3*j + 18 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = -b + 2*t, 3*b - 7*t - 356 = -8*t. Let z = 146 - b. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 4 (b) -1\/4 (c) -2.4 (d) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 419940064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2588406 and 16?\nAnswer: 20707248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 429 + 7. Let y = 558 - w. Is y a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 471816 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5810 and 205342?\nAnswer: 7186970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-28)\/(-99) + (-118)\/531 + (-1 - (-97)\/33). Factor -9\/8*v**3 + 9\/8*v - 3\/8 + 3\/8*v**h.\nAnswer: -3*(v - 1)*(v + 1)*(3*v - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.17 + -0.170087. What is v rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -11. Suppose 6*c - n*c + 22 = 0. Sort c, -1, -2.\nAnswer: -2, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/33958 and -101\/120?\nAnswer: 2037480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.8505732 hours in weeks?\nAnswer: 0.09434865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-343 - -273)*124\/(-5). Calculate the greatest common factor of o and 372.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((16\/(-12))\/2)\/((-35)\/(2730\/(-4)))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2223141.\nAnswer: 3, 17, 43591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1047, 2089, 3131, 4173, 5215?\n\"Answer: 1042*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h - 2*h + 3*h + (2*h - 2*h - h)*(0 + 3 + 6))*(15*h - 26 + 26).\nAnswer: -165*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 39876, 39797, 39666, 39483, 39248, 38961, 38622?\n\"Answer: -26*m**2 - m + 39903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -25, -3034.\nAnswer: -3034, -25, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.028 times -8199621\nAnswer: -229589.388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 119*z + 497. Let f(t) = 24. Calculate -21*f(g) + h(g).\nAnswer: 119*g - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4925548 divided by -1231387.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -18, -31, -48, -69?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 55 + 0?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -279 by -1.\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (1 - (-8 - (-3 + 0))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.9195 + 1.223. Let l = 1.7 + d. What is l rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14631479?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 + 133\/28)*(-2 + 14). Let f(l) be the first derivative of -2\/5*l**2 + x - 4\/15*l**3 + 0*l. Factor f(b).\nAnswer: -4*b*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of h**4\/12 + h**3\/3 + h**2. Let z be l(3). Suppose 10 = 3*c - z. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203574 a multiple of 222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2841 + 13634 + 9825 = -645*g + 2435 for g.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -21, 0.24, -3, -2\/9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 n, and 1 i when three letters picked without replacement from sruistntntiusitssuiu?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-9))\/(5*8\/(-180)). Let m(r) = -21*r - r**o + 6 + 46*r - 15*r + 5*r**2. What is the remainder when m(-6) is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 2:53 PM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*j - 6 = 168*j + 3*d, -3*j + 18 = -2*d for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -8. Suppose -6*r + 2*r - b = -19, -n*r = -5*b + 7. What is the remainder when 3 - (-2 - (0 + 6)) is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 183 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 14, 104, 268, 506, 818, 1204, 1664?\n\"Answer: 37*t**2 - 21*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/640 and 91\/2320.\nAnswer: 18560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.7 (b) -1\/2 (c) 4 (d) -1 (e) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4161*b*o**3*v - b*o**2*v - 46*b*v - 1803*o**3*v - 35962*o**2 + v wrt o.\nAnswer: 24966*b*v - 10818*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -12\/809 (b) -2\/3 (c) -14 (d) 1\/6 (e) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -9*y**3 + 3*y**2 + 5*y - 3. Let d(m) = -10*m**3 + 4*m**2 + 6*m - 3. Let f = 13045 - 13040. What is f*d(x) - 6*z(x)?\nAnswer: 4*x**3 + 2*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 11:07 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - p - 148 = 0, -p + 8 = 3*p. Let h be ((-3)\/t)\/(((-99)\/(-12))\/11). Which is the nearest to 1? (a) h (b) -0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.84012 litres in millilitres?\nAnswer: 10840.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 15 + 42*a - 31*a - 16. Let n be p(-14). Suppose n*s - 9*s = 264. Is s a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17653743 a multiple of 1310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 251*-0.16\nAnswer: -40.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 9 - (-6 - (22 - 33)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 12284?\nAnswer: 6142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -334925 = 331*u - 599964 - 2477627. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 57 = 30. Let l = y - 10. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/2544 and 21\/128.\nAnswer: 20352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21397 is divided by 7132.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 3204?\nAnswer: 3211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17.798 - -17.838. Which is the biggest value? (a) w (b) 79 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3047*g - 3043*g - 23 = -3*z, -3*g - 19 = -5*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -3628, 10, 0.3, 2, 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 430 a factor of 1154823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21637*r**2 - 10915*r.\nAnswer: -43274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52967016?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/27 - 28\/6. Let t = u - -6. Let i be ((-85600)\/(-6))\/(t\/(-150)). What is i rounded to the nearest one hundred thousand?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-14))\/((-4)\/(8\/3))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.8 - 1.1. Let i(m) = -m**3 - 6*m**2 - 4*m + 7. Let k be i(-5). Sort f, k, 1 in decreasing order.\nAnswer: k, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (19*h + 2*h + 14*h)*(-20 + 3 + 11) as a + w*h and give w.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1045\/4 (b) -3 (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (0 - 3 - -10) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-2)*j)\/j*j*j**(-1\/2)*(j*j\/(j**(2\/7)\/j)*j)**(3\/38))\/(j**5\/(j*j\/(j*j**(3\/5)))*(j*j**(1\/11))\/j**0) assuming j is positive.\nAnswer: j**(-86283\/14630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 + x - 55. Determine v(0).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -3*u + 18 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-8 + (-2967)\/(-368)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 85 = -2*f. Let a = f + -33\/2. Sort 4, a, 0.4 in descending order.\nAnswer: 4, a, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 0*i + 1. Let m be (((-8)\/i)\/2)\/(4\/8). Which is the third biggest value? (a) -0.1 (b) m (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*j**3 - 9*j + 3*j - j**2 - j + 6*j + 3*j**3 in the form t*j**2 + g*j + z*j**3 + a and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -21. Suppose -6*f + y*f = -8. Let t = -25 - -55. What is the smallest common multiple of f and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t*t*t**6*t)\/t*t)\/(t\/t**(-2\/5)))**37)**(-40) assuming t is positive.\nAnswer: t**(-12728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -998649, -7989258, -26963781, -63914178, -124832409, -215710434, -342540213, -511313706?\nAnswer: -728022873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 144 = 2*k + 3*h, -k - h = 28. Let o be ((-12)\/k)\/((-2)\/10). Let a be o\/(1*-6)*(-6)\/41. Sort 1\/9, a, -0.4, 4 in descending order.\nAnswer: 4, 1\/9, a, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -422424 divided by 70404.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -17241.\nAnswer: -17241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 5*s + 145. Determine f(-29).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-4 + -2 - (-4 - -2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6277136 = p - 17427116. Suppose 2*l + 1960020 - 6420040 = 4*m, 5*l + 4*m - p = 0. What is l rounded to the nearest 100000?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 7*r + 7. What is k(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-5 - -7) - -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*a - 14 + 68. Suppose -2*y + t - 2 = -a, 9 = -3*y + 5*t. Sort 28, y, -1, -4.\nAnswer: -4, -1, y, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -80 + 60. Let i = 19.9609 + c. What is i rounded to three dps?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-s + 2*s - 2*s)*(-2 - 4 + 5) - 5 - 10*s + 5)*(-s + 0*s - 2*s) as m*s + j*s**2 + a and give j.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 218945 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*d - 22*d + 2413 = -4*z, -2 = -2*d + 4*z - 68 for d.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + q**2 + 2*q**2 - 5*q**2 - 4 as t*q**2 + z + l*q and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/30389 and 17\/2.\nAnswer: 60778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h + 3. Let w(c) = -2*c - 1. Let x(p) = -3*v(p) - 5*w(p). Let m be x(4). Is 77 - (6\/(-3) - m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2976+-732.9\nAnswer: -732.6024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/1187 - 8245\/37984. Let m = 1009\/288 - o. Calculate the common denominator of m and 2\/(-8) - 334\/88.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3715*i + 29649. Calculate s(8).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - z + 1. Let b(x) = -7*x**2 - 3. Let f(y) = b(y) + 6*q(y). What is f(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 344\/14 - (-21)\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**5 + 116*g**4 + 618*g**3 + 764*g**2 - 488*g - 1008 = 0.\nAnswer: -2, 1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q - 5 + 5)*(0*q + q**2 + 0*q) - 4*q**3 - 4*q**3 + 3*q**3 to the form y + m*q + x*q**3 + p*q**2 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 5*f + 14 + 21, 4*r + 4*f + 64 = 0. Let v(b) be the first derivative of -6*b**2 - 106. Let g(l) = 3*l. Determine r*g(a) - 4*v(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-5))\/((-210)\/140)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -47*z + 4. Let w be g(-5). Suppose p = -3*t + w, -3*t - 2*p = -4*t + 75. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 12:55 AM?\nAnswer: 602","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -132*d*p**2*q - 7922*d*p*q - 72839*p**2*q - p**2 - 3*p*q wrt d?\nAnswer: -132*p**2*q - 7922*p*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r - 23*r**3 - 6*r + 35*r**3 - 5*r + 14*r + r.\nAnswer: 12*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000228952 to 6 dps.\nAnswer: 0.000229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -785, -2286, -4509, -7460, -11145, -15570, -20741?\nAnswer: -26664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7107507*y**2 - 421*y + 11320 wrt y?\nAnswer: 14215014","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -4, 31, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -14*g + 315. Let l(w) be the third derivative of -w**4\/24 + 20*w**2 - 30. Determine l(p(n)).\nAnswer: 14*n - 315","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-21))\/((-30)\/70)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -11*y + 4. Suppose 85*z - 143 - 27 = 0. Let r(o) = -55*o + 21. Give z*r(l) - 11*t(l).\nAnswer: 11*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173157031 is divided by 2072?\nAnswer: 2063","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (6*(sqrt(13) + -3 + sqrt(13)))**2 - (-3 + sqrt(1872) + -1).\nAnswer: -444*sqrt(13) + 2201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, y: 1, v: 1, i: 1, s: 1}. What is prob of picking 2 d, 1 y, and 1 i?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 4*k + 2*y, 3*k + 4*y = 6*k - 39. Calculate the greatest common factor of k and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004007257 rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 26 = -113. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rbryidi. What is prob of sequence rir?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/10*(2 - 6). Suppose 0*k = -l*k. Suppose -c + 0*c + 31 = k. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 1220*w**2 + 1433*w - 7104. Calculate the remainder when o(5) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17b6a (base 15) in base 11?\nAnswer: 527a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 387.5 or -144?\nAnswer: -144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiviiviviiviiiviii. Give prob of sequence ivi.\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/6*(0 + 2\/(-4)). Put f, -0.2, -2 in decreasing order.\nAnswer: -0.2, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**3 - 155*t**2 - 323*t - 21. What is the remainder when 1*78*2\/3 is divided by n(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -78*h**5 + 31871*h**4 - 4*h**2 - h + 3796843 wrt h.\nAnswer: -1560*h**3 + 382452*h**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(-1\/22)*a))\/a**6*(a*(a**(-1)*a)\/a)**4)**(-9\/7) assuming a is positive.\nAnswer: a**(1179\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjvjvjvhjvvjj. What is prob of sequence vv?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3, 34, 141, 354, 709?\n\"Answer: 6*i**3 - i**2 - 2*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -5*l - 200, -p + 3*l + 16 = -52. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 784\/168*6\/(-4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, j: 8, a: 8}. What is prob of picking 1 j and 2 a?\nAnswer: 14\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3441*u**3 - 16385*u**2 + 17794*u**2 + 3 - 2 wrt u.\nAnswer: -20646","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 564*s + 117506 = -1199*s - 1230*s - 166829 for s.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 208 + -216.96. Let w = z - 0.04. Let v = w - -14. Sort -5, 4, v in descending order.\nAnswer: v, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120 times 708\nAnswer: 84960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 854 and 976?\nAnswer: 6832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1701340000 to the nearest 1000000.\nAnswer: -1701000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 12985 - 4549 = 0. Does 88 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -l**4\/24 + 49*l**2. Let b(m) = 0*m + 0*m + 9*m - 6*m. What is b(q(w))?\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -49*z**3 - 3*z**2 - 5*z. Suppose -2*l + 19 = -3*u, -14*u + 9*u = -2*l + 29. Let y(i) = 73*i**3 + 5*i**2 + 8*i. What is u*y(k) - 8*o(k)?\nAnswer: 27*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10359752, 20719500, 31079238, 41438960, 51798660, 62158332?\n\"Answer: -l**3 + l**2 + 10359752*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230 is divided by ((-50)\/4)\/((-7)\/42) - (1 + 5).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.6 + -0.6. Let v = 9.978 - 9.978. What is the smallest value in v, 0.4, 5, s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/980 and 3\/1862.\nAnswer: 18620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -609 + 811. Let g = 890 - l. What are the prime factors of g?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 3*c**2\/2 + 5*c - 1. Suppose 23*b + 4 = 4. Let f be y(b). Solve 0 = -f*l + l - 5*p - 16, 5*l + 20 = -5*p for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29557097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6151369 and 14?\nAnswer: 12302738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 9:16 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**2 + 99252*p - 1231369938 = 0. What is p?\nAnswer: 24813","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 1 + 7*x + x**3 - 5 - 6 + 9*x + 18*x**2 + 1. Let t be q(-17). Let c(p) = -p**2 + 6*p + 11. Give c(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 9*b**2 + 13*b - 16. Let d be c(10). Let z be 2\/3*(-63)\/d. Let x be (-24)\/(-15)*(-15)\/12. Sort -5, 5, x, z in decreasing order.\nAnswer: 5, x, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 11*v - 8. Let n be m(-7). Suppose f = 2*f + n. Let d be (-8)\/f + (-27)\/5. What is the second biggest value in -2, d, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -212.6 - -213. Which is the fourth biggest value? (a) x (b) 0 (c) 1 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -29, 8, -975, 2\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4052 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -268074249 take away -258.69?\nAnswer: -268073990.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 198*g = -7*g + 25*g - 6650 for g.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - y + 253 = -2*y, 1258 = 5*j + 2*y. What is the least common multiple of 8 and j?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-12))\/((-3)\/(-18)). Let b = d + 11. Suppose -n - n = 2*z - b, -24 = -4*z - n. Solve z = -6*x + 4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 339 + -334. Solve -2*m + m - q = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 34*a**3 - 2*a**2 + 1. What is the units digit of k(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -7 - 10*a**2 + a**2 + 9*a**2 - 4*a - 9*a**3. Let i(c) = -4*c**3 - 2*c - 3. Give -5*i(t) + 2*j(t).\nAnswer: 2*t**3 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjojomjooo. Give prob of picking 2 o.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1415 + 353?\nAnswer: 1770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 2 = -s. Let j = -34 + 39. Calculate the remainder when j is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1361391805?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3 = -5. Suppose 0 = -z - 0*z + 5*k - 14, 13 = z + 4*k. Let q(s) = s + 2*s**3 + z - 1 + 3*s**2. Give q(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1018512 divided by -132.\nAnswer: -7716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -w + 72. Let m = 4 + w. Is 28 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 38808, 38806, 38804?\n\"Answer: -2*u + 38810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 75479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - 183\/9)\/((-1)\/3). Suppose 3*p - 5*w = 58, 2*w = 4*p - w - v. Suppose 3*m - 24 = -m. Calculate the remainder when p is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 10:08 AM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -55, -68, -87, -112, -143, -180?\n\"Answer: -3*q**2 - 4*q - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*w - 475 + 2955. Suppose -f - 3*f + 1240 = 4*h, 4*h = f - w. What are the prime factors of f?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*l - 729 + 729)*(7*l - 39*l + 2*l + (-2*l + 3 - 3)*(0 + 3 - 4)) + 6*l**2 + 2*l**2 - 4*l**2.\nAnswer: 340*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1387 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/13? (a) 0.5 (b) -0.07 (c) -0.38 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231 (base 4) to base 8.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-11)\/(z**(5\/9)\/z*z))**(-2\/13) assuming z is positive.\nAnswer: z**(16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4142383?\nAnswer: 7, 151, 3919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, e: 1, r: 4, j: 5}. Give prob of picking 1 w and 1 r.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 60848.26l in millilitres?\nAnswer: 60848260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5592? (a) -0.3 (b) -3 (c) 384\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 17*q + 25. Let m be j(-15). Let y be (-300)\/(-45)*(-12)\/10. Which is smaller: m or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 286*p + 1923*p - 99*p + 1063*p + 1051*p to d + y*p and give y.\nAnswer: 4224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7679377 - 7697103.143. Let t = r - -17719. Let x = t - 0.057. What is x rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5741638000 rounded to the nearest one million?\nAnswer: -5742000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 12\/(-78) + (-418)\/(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32603 greater than or equal to 26486?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z + 10. Let n be k(7). Suppose 0 = b - 3*b + 6. Let o(p) = -4 - p**2 - b*p + 3*p**3 + 2 - 2*p**3. What is o(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 + 178. Let l(x) = 79781*x**2. What is v(l(g))?\nAnswer: 12730015922*g**4 + 178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22.3 and -0.7794.\nAnswer: -17.38062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/((-27)\/(-12) + -2). Let i be (6 - 2) + -2 - l. Is -2 greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/((-88)\/(-132)*18\/4). Let c be (4\/2)\/(-1 - 4). Sort -3, n, c, 2\/11 in decreasing order.\nAnswer: n, 2\/11, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 50 - 52. Suppose -2*p**o - 3\/2*p + 1\/2 = 0. Calculate p.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 4*x - 25*x + 23 + 22*x**2 + 3*x. What is the derivative of i(g) wrt g?\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.293, 4, -2\/5?\nAnswer: -0.293","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1121002 (base 4) to base 14\nAnswer: -2110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 5*u - 31, 5*p + u + 4 = -13. Suppose 5*o = 4*t - 3, 0 = -4*t + 2*o + 3 + 3. Sort t, p, -2 in increasing order.\nAnswer: p, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 634*y**6 - 1131*y**2?\nAnswer: 76080*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15526.2189 rounded to the nearest ten?\nAnswer: 15530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = -4*j + 5*g, -20 = -424*j + 428*j + 4*g for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10939 + -10939.5. What is the third smallest value in 0, 5, -0.01, 9, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 11*x + 3. Let y be i(-11). Suppose 117 = -0*u + y*u. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, r: 2, l: 2}. Give prob of picking 1 n and 1 r.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 3*x = -9*h + 13, 5*x = 4*h + 24. Let f be 10\/(-84)*(-8)\/40. Which is smaller: h or f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -21*w + 18*w - 3*j, -2*w - 5*j = -2. Sort w, -5, 1, 3.\nAnswer: -5, 1, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4834 + 13575. What is the greatest common divisor of b and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a meter in millimeters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -24859\/23278 less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -12135*(-110)\/231 - 6\/(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99 and 271827.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1588 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o - 12. What is w(10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37114 - 21554. Suppose 2*b + 3*p - 42828 - 3698 = 0, 5*p + 23250 = b. Let k = b - w. Round k to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 204.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -28, -14, 0, 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41 and 328?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36821022 is divided by 18410508?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.4 (b) -3\/5 (c) 89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/114*(-2)\/(-3). Let r = -169.4 + 169. What is the closest to -1 in r, i, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -972.000011024 - -972. Round g to seven dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) 4 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -511*t + 253*t + 5925 + 256*t.\nAnswer: -2*t + 5925","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*f**2\/2 + 8431569*f + 3891492.\nAnswer: (f + 1297164)*(13*f + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 5*x + 2 + 74, 36687*x + 76 = -4*j + 36690*x for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - a - 25 = 0. Sort 1, 0, a in decreasing order.\nAnswer: a, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 5*m - 3*z, -2*m + 4*z + 4 = -5*m. Suppose -3*u + 2*h + h = -213, -274 = -m*u + 2*h. Is u a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 149 - 128. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 - 80*l**2 + 175*l - 90.\nAnswer: -5*(l - 1)**2*(l + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -3*o + 64071, -5*o - 2*g = -5*g - 106789. Suppose 2615 - o = -71*p. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285625133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/65, 1\/5, -6\/5 in descending order.\nAnswer: 1\/5, 2\/65, -6\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p - 3. Let h be y(-8). Let n be 12\/(-6)*h*-1. Calculate the highest common factor of 15 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -4, 0.4, 1, -21, -3, -246702?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -4*a + 17*a - 7 + a**2 - 4*a - 5*a. Differentiate q(o) with respect to o.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -b + 5*t - 3, -4*b = -3*t. Sort -3, 1, b.\nAnswer: -3, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-6)*(4 - 3). Let y be (2\/(-30))\/(2\/(-6)). Put y, -2, s in increasing order.\nAnswer: -2, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -34*z + 111. Calculate the remainder when 162 is divided by k(2).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = z + 4*h - 2, -z = h. Is z greater than 25\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -58*y**2 + 2149*y - 128. Calculate j(37).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j + 34. Calculate c(-11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2\/975, 18\/11, 0.019 in ascending order.\nAnswer: 2\/975, 0.019, 0.1, 18\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18128 and 1016816.\nAnswer: 1648","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.553747 hours in days?\nAnswer: 0.106406125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + 3365\/(-150) - (-2)\/(-12).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 848568 is divided by 44?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y**2\/2 - 5251771*y + 27581098636441\/2 = 0. Calculate y.\nAnswer: 5251771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*r + 2, -3*r - 5*u - 25 = -9*u. Let m = 1.99 - -0.01. Let h = 3 - m. Which is the second biggest value? (a) -0.3 (b) r (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5\/3 (b) 1\/11 (c) -2\/13 (d) 3 (e) 5 (f) 848 (g) -84\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370122 is divided by 12762.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 51 and 7.\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*n**4 - 3 + 3)*(-5 - 49 - 32 - 38) in the form i*n + r*n**2 + y*n**4 + w + k*n**3 and give y.\nAnswer: 496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-4) - (-1 + (-561)\/(-220))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1014 + -1013.96. What is the second biggest value in l, -2, 0.2, 12?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x = 2*x + 369. Suppose -9*m + 13 = -x. Suppose 7*k + q = m*k + 99, k = q + 109. What are the prime factors of k?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1899 and 73428.\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*n**3 + 31*n - 17*n + 63*n**3 - 14*n.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -1692*q**3 + 1670012*q**2 + 5017344*q - 23760 = 0.\nAnswer: -3, 2\/423, 990","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*h - 23603, 14997 = -5*h - 3*k + 74006. What is h rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1\/5)*q\/q**3*q*(q\/(q*((q**(-2\/3)\/q)\/q)\/q))**(-2\/21))\/((q*q\/q**6)\/(q\/q**(2\/9)))**(-39\/5) assuming q is positive.\nAnswer: q**(-11912\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -823*g**5 + 27*g**4 + 5*g**3 - 3870876*g**2 wrt g?\nAnswer: -49380*g**2 + 648*g + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100496 divided by -4568.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2687 and -0.4.\nAnswer: 2686.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*m - b, 0*b - 2*b = -2*m + 6. Is 583\/m - (-6)\/(-21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7161481.9809 - 7161045. Let h = -437 + i. What is h rounded to 3 dps?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 11. What is the third biggest value in -0.1, 1, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 7*n**2 + 71*n + 69. Give a(-7).\nAnswer: -1114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2247\/10 + 12081\/55. What is the common denominator of (-67)\/10 - (2 + 0) and r?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.23 in 3, 1\/32, -4782?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 79976585 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + ((-1*(1 + sqrt(180))*-1 - (sqrt(180) + 0 + sqrt(180) + -3 + sqrt(180) - (sqrt(180) + 0)*3)) + 0)**2).\nAnswer: 144*sqrt(5) + 585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = p + 4. What is the least common multiple of p and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**4 - m**2 - 2*m. Let d(x) = 1073*x**4 + 6*x**2 + 89*x. Let z(h) = -d(h) - 7*s(h). What is the third derivative of z(c) wrt c?\nAnswer: -25584*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 5 + 1. Let l = 9 + i. Sort -2, -3, l in ascending order.\nAnswer: -3, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -n - 8. Suppose 0 = 2*t - 3*i + 5*i - 4, -n*t = -i - 7. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2319?\nAnswer: 3, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-2\/7)*b*b)\/((((b**(-8)*b*b)\/b)\/b)\/b)*((b\/b**(2\/7))\/b)\/(((b\/((b*b**(2\/25))\/b)*b)\/b)\/b) assuming b is positive.\nAnswer: b**(2014\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-45)\/(-180)*6\/(-33). What is the second smallest value in 2\/17, -15, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -82799, -165599, -248397, -331193, -413987?\n\"Answer: m**2 - 82803*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -392, -1617, -3660, -6521, -10200, -14697?\n\"Answer: -409*h**2 + 2*h + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/984 and 139\/9421308.\nAnswer: 18842616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g - 263*g**3 - 3833*g**3 - 6714*g**3 - 315*g**3 - 2 + g**2. Let s be j(-2). Round s to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -t**9\/7056 + 3*t**8\/3920 - t**6\/210 + 145*t**3\/6 - 65*t + 1. Let p(w) be the second derivative of z(w). Factor p(g).\nAnswer: -3*g**2*(g - 2)**2*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-51)*73871\/(-346) + (-4)\/(-34)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-23 + 20 + 11).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 6*d + 3. Let h be n(6). Let y = -0.4 - -0.2. Put -2, h, y in increasing order.\nAnswer: -2, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 y when three letters picked without replacement from dgyyddy?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -14. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26\/(-403) - (-2)\/(372\/4477218)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/63 - 12\/(-42).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/4702901 and 5\/2233.\nAnswer: 51731911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9744030, -0.2, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111010110011110001101 + -1110?\nAnswer: 111010110011101111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u - 1. Determine p(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(3\/(-2) + 3). Let n = r - 3. Suppose -4*o = 2*d - 2, -2*o + 0*d - 3 = n*d. Put o, -0.3, 5 in decreasing order.\nAnswer: 5, o, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of h**5\/60 + h**4\/4 + h**3\/2 + 2*h**2. Let g be x(-5). Let z be 4\/(-12)*(g + 2). Solve z = 2*q + 3 - 7 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1706.\nAnswer: 2, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*f + 2790 = f. Solve -4*d - 5*i = -f, -d + 6*d = -4*i + 32 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 0.5, 1\/490, 1 in decreasing order.\nAnswer: 8, 1, 0.5, 1\/490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*w**4 + 2*w - 52*w**4 + 17*w**4 - 100 - 17*w**4 wrt w.\nAnswer: -744*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -177*p**5 + 1584*p**4 + 11*p**3 - 68*p**2 + 297438 wrt p.\nAnswer: -10620*p**2 + 38016*p + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/710 and 8455\/(-1068) + (1 - -1).\nAnswer: 4260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2. Let c(u) = 31 - 16 - 15 - u**2. Calculate c(o(n)).\nAnswer: -n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/11, 3, -25?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*c = -132*c - 117, 56 = 5*s + 4*c for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -297, -344, -425, -546, -713?\n\"Answer: -u**3 - 11*u**2 - 7*u - 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/9 + 366404*w**2\/9 - 5595172040*w\/3 + 41011559600.\nAnswer: -2*(w - 91590)**2*(w - 22)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/(-2*(sqrt(9) - sqrt(324))) + -2 - (3*(-2*sqrt(99) + sqrt(99)) - (sqrt(99) + -2*sqrt(99) + -4))) + 3.\nAnswer: -3 + 61*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 159\/(18*90\/(-432)*(-8)\/5)*2?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -313 (base 11) in base 14?\nAnswer: -1cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 + -10. Let j = s + -8.5. Suppose t = -1 + 2. Which is the closest to t? (a) -0.5 (b) j (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5232*l**2 + 5*l - 9633*l**5 - 5226*l**2 + 10458*l**2 - 3*l + 46 wrt l.\nAnswer: -192660*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9600977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from qqqssqqssqsqqqsqqq.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/635 and -28\/5545?\nAnswer: 704215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.6 - -0.2. Let c = v - 0.2. Let i = c - 3.3. What is i rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + (-612)\/(-63))*7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28200 and 7650?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-2) + 1175\/(-10). Let y = l + 260. List the prime factors of y.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4489.3199984 - -4488.32. Let i = s - -1. Let j = 0 + i. What is j rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/1313 + 2640\/9191. Let o = -11\/14 + f. Let u = 0.2 + -2.2. Which is the nearest to o? (a) 3\/5 (b) 5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -1101?\nAnswer: 1104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15290 and 23630?\nAnswer: 259930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 246008 + -246005.10019. Let g = h + -2.9. Round g to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 6. Let r be (-5)\/(20\/(-12)) + o. Solve -9 = -2*h + 3*w, -2 = h - 0*h + r*w for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 15. Calculate the least common multiple of m and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -680, -2697, -6054, -10751?\n\"Answer: -670*z**2 - 7*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 292.2 to the nearest ten.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1093 divided by 9?\nAnswer: 1093\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -5*o**2 + 201*o - 200. What is h(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*y**2 + y**3 - 10*y**3 - 11*y**2 - 6*y**2 as c + f*y**3 + a*y**2 + p*y and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r**4 - 1035*r**3 - 24174*r**2 - 100740*r + 26712 = 0 for r.\nAnswer: -14, -6, 1\/4, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -64 - 15847437?\nAnswer: -15847501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-40))\/(10374\/1330)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -772807.61 rounded to the nearest 10?\nAnswer: -772810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -369? (a) -3 (b) -3\/2 (c) -5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 93 - -26. Let d = 116.689207 + 2.296693. Let a = p - d. Round a to 3 decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-3) + (-10)\/(-3). Suppose -4*a + 875 - 819 = 4*c, 3*a + 2*c = 34. Solve a*r + 5*d = r, -r + b = 4*d for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 21*q + 1648. Let v(x) = 3*x + 206. What is -2*g(f) + 17*v(f)?\nAnswer: 9*f + 206","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/4*(-20)\/(-6). Let i be (-20)\/(-25) - 1\/(-5). Let o = -4 + i. Put o, k, -5 in descending order.\nAnswer: k, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 140 and 148.\nAnswer: 5180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**2 - k - 1. Suppose 5*a - 6 = 4*a. Let b be (-4)\/a + (-114)\/(-9). Let n be b\/42 + 9\/(-7). Determine x(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -6. Let m = 87 - 85. Suppose 57 = a - f, r*a = a - m*f - 56. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 5, -1, 440, -3 in increasing order.\nAnswer: -3, -2, -1, 2, 5, 440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**2 - 50*t - 80 = 0. Calculate t.\nAnswer: -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 8*d - 1. Let x = 71 - -428. Let g = 496 - x. Determine i(g).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 0.2441?\nAnswer: -0.9764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -4*u. Let i be (0 + 3)\/(3\/3). Let r(d) = 3 - 10*d + 2*d - 2 + 0. Let c(p) = i*r(p) - 5*a(p). What is the derivative of c(x) wrt x?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 58 = 5*a, x + 10*a = 21*a - 22. Solve -295 = -26*f - x*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/7 (b) -16 (c) -3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*q = 27*q - 12. Solve q*l - 3*u + 0*u = 11, l - 4*u = 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -43093, -86199, -129307, -172417, -215529?\n\"Answer: -d**2 - 43103*d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9729 (b) 3706 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*o - 38 = 0, 0 = w + 2*o - 5 - 1. What is the remainder when 53 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -k**10\/3780 - k**9\/3780 + k**8\/1680 + k**4\/3 - 3*k. Let u(l) be the third derivative of i(l). Let u(q) = 0. What is q?\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**2 - 5259*w + 10506 = 0.\nAnswer: 2, 1751","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sl when two letters picked without replacement from slllslwwwk?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 1. Let s(w) = -w**3 + 5*w**2 + 7*w - 1. Let v be s(6). Let f(q) = -10*q + 7. Let c(k) = v*h(k) - f(k). Let m(d) = d**2. Determine c(m(t)).\nAnswer: 10*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-121)\/(10\/2 - 4). Let h = 139 + t. Calculate the remainder when (20\/2)\/(1\/7) is divided by h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(3)*-5)**2 + sqrt(45) + -3.\nAnswer: 3*sqrt(5) + 122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10593 + -307195\/29. What is the closest to -27 in 1, -5\/4, 0.3, g?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*i**3 - 127*i**3 + 43*i**3.\nAnswer: -48*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 54 + 0\/(-1) + 17\/17. Let r = o - 7. Is 14 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21.8 in 0.3, -2, -10?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 97402.2526 to the nearest 100.\nAnswer: 97400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 s, and 1 f when three letters picked without replacement from ggszmsfmzgmggmgmgms.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/900*-16*30\/12\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y**2. Let q(x) be the second derivative of x**4\/2 - 38*x. What is m(q(r))?\nAnswer: 144*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, z: 1, f: 2}. What is prob of picking 1 n and 1 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 234 and 312966?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18746565?\nAnswer: 3, 5, 461, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 212 - 59*x + 29*x + 27*x. Is f(31) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*y - 3 = 0, 4*y - 9 = -25. Does 3 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69945, -69936, -69927, -69918, -69909?\nAnswer: -69900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -13 - 0 - (-6 - -4 - 6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z + 4. Let p = -109 + 113. Let t(s) = -2*s - 3. Suppose -17*i + 14*i = -3*g + 15, -5*i = 2*g - 10. What is g*t(k) + p*h(k)?\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -6*t. Let g(y) = -17*y**2 + 9*y. Let u(m) = -m**2 + 5*m - 9. Let s be u(5). Let l(h) = -4*h**2 + 2*h. Let a(o) = s*l(o) + 2*g(o). What is r(a(c))?\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -239*f**2 + 449*f**2 - 216*f**2 + 60 as r*f + i*f**2 + n and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -336358 divided by -15289.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 7*j**2 - 6*j. Let n be z(6). Which is bigger: 6\/13 or n?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -12, -9, -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/41977 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -422 - 4211?\nAnswer: -4633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of 0*j**4 + 38*j**3 + 0 + 0*j**5 - 76\/15*j**6 + 0*j**2 - 85*j. Find the second derivative of s(w) wrt w.\nAnswer: -1824*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 25, -3*j + j + 10 = -3*h. Let k be h*(2 + 1)\/3. Solve 0 = -k*m - 5*m + 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 176.03056192 + -189.09806. Let b = t + 13.2375. Let x = 0.17 - b. What is x rounded to 7 decimal places?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 3:31 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -490515480 divided by 56420\nAnswer: -8694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4*y = 52, y - 4 = -r - 3*y. Let w be 10\/3*r\/(-10). Let l = -172 - -184. Solve -z = -w*z + l for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71064 (base 10) to base 3\nAnswer: 10121111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -2, 2\/7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (2 - -2 - -144) + -5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88730?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(5 - 2*o - 2 - 2 + (-12 - 20 - 4)*(-2*o + 0 + 0) + 1 - 2*o - 1)*(-3 + 3 + 1 + (-1 + 2 + 1)*(2 - 1 + 1)) + 0*o + o - 3*o.\nAnswer: 338*o + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 255154.4kg to milligrams.\nAnswer: 255154400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*t + 1 = -8, 0 = 5*o - 5*t - 35. Suppose 3 = -o*i - 12. Is 7 a factor of (-82)\/i - (-2)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -7. Let n = 0.2 - 1.2. Let w = -0.8 - n. What is the second smallest value in h, w, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 1. Suppose 2*d = -d + q. Let s(k) = -3*k**2 + 6*k**2 - d*k**2. Determine s(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1082881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 384 and 85131.\nAnswer: 10896768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 102710215?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**33*l*l\/(l**(2\/75)\/l)*l)\/(l**(4\/9)\/l**(-20)) assuming l is positive.\nAnswer: l**(3719\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4532487276551 - -4\nAnswer: -4532487276547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*o - 972 = 39*o. Suppose -o + 36 = -6*d. Solve -2*q + 4*k - 10 = 0, 8 = -4*q - k - d for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 4:17 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 10:47 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2859 + -1236. Let l = s + -741. What are the prime factors of l?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007215 rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 2)*(3*w + w - w) - 2*w + 3*w - 2*w - 4*w + 6*w + w + (-2 + 0 + 3)*(w + 5*w - 4*w) - 2*w + w - w - 2*w + 0*w + 3*w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -290 + 3192\/11. Let t = -173\/2 + 85. What is the smallest value in t, 0.6, v?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/(-16)*4 - 47\/(-9). Which is the second biggest value? (a) o (b) 2 (c) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 3*u + 7 = 7*z, 3*z - 4 = -u for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*w - 6. Let m = -1644 - -4979\/3. Let d = m - 17. Which is the nearest to -0.1? (a) d (b) w (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + 4*m**3 + (0*m**2 + m**2 + m**2)*(3*m - 4*m + 2*m) + (147 - 147 - 69*m**2)*(-m - m + 0*m).\nAnswer: 144*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 19*r**2 - 50*r - 36. Let t be u(-16). Let o(i) = -5 + 3 + 3*i - 3 + 8*i**2 - 5. Does 19 divide o(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2 - -3) + 0 - (-128 + 131) - 40) + -5\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*j - 753 + 872 = 0 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 287921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 23 - 11)*(28*g - 28*g - 16*g**5) + g**5 + g**5 - 4*g**5.\nAnswer: 606*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 4375?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 131110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12826641?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 13*y - 21. Let o(z) = 25*z - 42. Suppose 2*g + 15 = -g. Let d(j) = g*r(j) + 2*o(j). Differentiate d(c) wrt c.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g. Give b(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12, -43, -132, -309, -604?\n\"Answer: -5*a**3 + a**2 + a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*(0 - 15\/6). Suppose 3 = -2*x + f + 2, 28 = 4*x + 4*f. Solve -b = x*h - 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56 - 27. Suppose -w = 4*d - 8, -4*w - n + 1 = -4*d. Suppose h + 2*f = -f + 19, 0 = -d*h + 5*f + 1. Is 6 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-5\/2))**(5\/9) assuming r is positive.\nAnswer: r**(35\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 212214 - -62?\nAnswer: 212306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + -72. Let w = 182 + -132. Let n = y + w. Put n, -3, -1\/4, -1\/3 in descending order.\nAnswer: -1\/4, -1\/3, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-4))\/((-90)\/1530)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2251178598.\nAnswer: 2, 3, 375196433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -176 - -125. Let z = -1 - u. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4379 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/11))**(10\/11)\/(a**(1\/2)\/(a*a**(-4\/7))))**(-11) assuming a is positive.\nAnswer: a**(-159\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -5*r + 28939*h - 28942*h, -4*h - 9 = 3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -146 + 152. Suppose x*b = b + 6275. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*z**5\/11 - 5604*z**4\/11 - 3342*z**3\/11 + 1536*z**2 - 1560*z\/11 - 6432\/11 = 0. Calculate z.\nAnswer: -2, -4\/7, 1, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 2. Let l be u(2). Let i be -3*(-5)\/(-15) + -22. Let y = 26 + i. Solve -q - 12 = 2*o - y*q, 0 = 5*o + l*q - 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*q + 32 = -130 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -138.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-22) - (-6)\/33. Suppose 3*g + c - 17 = -2*g, y = 3*g - c - 7. Suppose 0*s + g*s = -3*i + 39, 0 = 3*s - 15. Is 8 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 75556 - 0?\nAnswer: 75556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2012 + -1940. What is the lowest common multiple of c and 546?\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 107224 and 1280.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4*y + 16 - 56 = 0, -3*n - y = -46. Let r = n - 14. Suppose 0*g + 3*g = -12, -r*o + 24 = -4*g. Solve 3*s - 4*z - 26 = 0, o*z = -4*s + s - 14 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392969987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + ((sqrt(931)*-3 + sqrt(931) + -5 + (sqrt(931) - (-4 + -4*sqrt(931))))*3)**2).\nAnswer: -75420 + 378*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (62 - -8 - 76)\/(-2 + 95)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27226.08 litres?\nAnswer: 27226080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1552715 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: Let n = -329 + 7897\/24. Let p(r) be the third derivative of -3\/40*r**5 + 3*r**2 + n*r**4 + 0*r + 0 + 0*r**3. Factor p(z).\nAnswer: -z*(9*z - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1261 and -0.033.\nAnswer: 0.0041613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2. Suppose 2*s + 10 = -2*d, 5*s + 19 + 6 = 0. Let w be l(d). Let z be 144\/406 - 6\/21. Are z and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, q: 5}. What is prob of picking 3 l?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-17)\/(((-1)\/(-3))\/(8\/(-6)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17466347 is divided by 55?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of -u**8\/84 - u**5\/5 + 3*u**2. Find the third derivative of b(d) wrt d.\nAnswer: -240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 405, 1614, 3627, 6444, 10065, 14490, 19719?\n\"Answer: 402*w**2 + 3*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8792 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of 5*s**3\/3 + 6*s. Let o = -104 - -106. Let c(b) = 38*b**2 - 19*b**2 - 23*b**o. Give c(u(g)).\nAnswer: -400*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/4*2*-1. Let z(p) = 3*p. Let g be z(2). Solve 3*v - 4*d + 24 = -9*d, -3*v + g = -r*d for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1266 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 2)*(65*v**2 - 2*v**2 - 24*v**2) + 5*v - 2 + 2*v**2 - 5*v.\nAnswer: 80*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from vvgggvvvgvvvvvvgvv?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -119*n**2 - 49*n + 49. Let q(l) = 12*l**2 + 5*l - 5. Give 5*g(p) + 49*q(p).\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 175531087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 5*s = 420, 206 = 3*v - 3*s - 58. Let p = 88 - v. What is the highest common divisor of p and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62 + 43 + 150 - (0 + 35)\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*x - 317 + 84 + 80 + 82 + 76.\nAnswer: -15*x + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -31*i**3\/3 + 2*i**2 + 71. What is the second derivative of k(y) wrt y?\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 472*u + 17 + 79 - 55*u. Is h(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -0.254, -11, -17?\nAnswer: -0.254","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + v**2 + 3*v + 3. Determine z(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -259 - -262 - (1 - 5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -7*c**3 + 12*c**2 - 13*c + 4. Let g(s) = -11*s**3 + 18*s**2 - 19*s + 6. Let a(l) = 5*g(l) - 8*h(l). Let v be a(4). Solve -1 = 3*n - v*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.183 - -9.183. Let i(y) = -7*y**3. Let j be i(1). Which is smaller: r or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gzn when three letters picked without replacement from {n: 1, j: 1, l: 1, z: 1, g: 10}.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*f**2 + 8*f**2 - 13*f**2 + (5*f + 2*f - 3*f)*(0*f + 4*f - 3*f) + (4*f + 0*f - 2*f)*(-2*f + 4*f - f) + 3*f - 3*f + f**2.\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 115*s**2 - 231*s - 101. Let j be y(-113). Calculate the greatest common divisor of j and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.134 times -3?\nAnswer: 0.402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2)*125*(-2300)\/5750?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4478, 7885, 11232, 14519, 17746, 20913, 24020?\n\"Answer: -30*d**2 + 3497*d + 1011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42.01154366477 - 0.01154400477. Let t = -42 + j. Round t to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3017747069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, t: 7}. What is prob of sequence xtt?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/4 - 37*t\/4 + 19\/2.\nAnswer: -(t - 1)*(t + 38)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173 + 2*p - 175 - 167 - 202 + 881 - 4*p - 164.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(1\/11))\/h*h**(-1\/3)*((h*h**16)\/h*h)\/h*h*h**(3\/7)*h)**(-42) assuming h is positive.\nAnswer: h**(-8780\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 3*i + 2*o - 88, 0 = i + 4*o - 53. Suppose 2*u = -y + i, -3*u + 49 = -5*y + 4*y. Calculate the greatest common divisor of 153 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 188\/2*(-6)\/12. Which is bigger: -49 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14231 + 14220. Let y(v) = -2*v - 19. Give y(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2. Let m(t) = -1932*t**2 + 361772*t - 361772*t. Calculate x(m(s)).\nAnswer: 7465248*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -245 + 224 + -2 + (3 - -2) + 9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 306714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -123720 rounded to the nearest 1000?\nAnswer: -124000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.5 (b) -1413 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53710, 7, 0.9 in increasing order.\nAnswer: -53710, 0.9, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3439.12402 - -0.2.\nAnswer: 3439.32402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -8*l + 227. Is p(-21) a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -298*a + 1058. Is z(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 4 (c) 2\/7917\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3*q + q = -86, -58 = 2*m - q. Let w(v) = -v**2 - 29*v + 31. Let o be w(m). Which is the nearest to o? (a) -1 (b) 4 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**3 + 39*u**2 - 29*u - 21. Give g(-20).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + 1)**2 + -6*sqrt(2)*3.\nAnswer: -12*sqrt(2) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 32*t**2 + 113*t - 94. What is d(28)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 10:02 PM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 48a + 28686?\nAnswer: 28b32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2*2)\/(32\/2688).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34920.86 millimeters to centimeters.\nAnswer: 3492.086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/(3\/3) - (-8411 + 3). Suppose c = 24*t - 32229. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/25409 and -93\/4.\nAnswer: 101636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3134 + -3134.1869. What is i rounded to two decimal places?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/84 and ((-4)\/(-3))\/2 + 8784\/(-3780).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2742*u**3 + 2755*u**3 - 13679*u**3 + 2749*u**3 + 2731*u**3 + 2750*u**3.\nAnswer: 48*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80830?\nAnswer: 2, 5, 59, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 267334 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of v**3\/2 - v**2\/2 + 12*v. Give t(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50 - -52. Factor 2\/9*j - 16\/9*j**q + 10\/9*j**3 + 4\/9.\nAnswer: 2*(j - 1)**2*(5*j + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15.3 * 19111.8.\nAnswer: 292410.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1.5 * -13.7\nAnswer: 20.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2009651, 2009655, 2009659, 2009663, 2009667?\nAnswer: 2009671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**2*l**3 + 23861*c**2*l + 16*l**4 + 561*l**2 - 1875*l wrt l?\nAnswer: -12*c**2*l + 192*l**2 + 1122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*v + 61, 4*b - 3*v - 18 = 83. Suppose 46*n - 8050 = b*n. Is n a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/924*16\/(-6)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 41144802, 82289595, 123434388, 164579181, 205723974, 246868767?\n\"Answer: 41144793*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3888 and 72?\nAnswer: 3888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 851, -127 in increasing order.\nAnswer: -127, 1, 851","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 - 0.2. Let m = 1 - 0.9. Which is the nearest to t? (a) -0.1 (b) -3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 871 is divided by 142?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3694200 rounded to the nearest ten thousand?\nAnswer: -3690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 3 = -j. Let s = 39097 - 39089. Solve 2*m + m + 12 = -j*x, 0 = m - 3*x + s for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**2*r**3 - 2*a**2*r + 2*a**2 - 2*a*r**3 + 339*r**2 - 240*r wrt r?\nAnswer: 6*a**2*r - 12*a*r + 678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xiir. Give prob of picking 1 r and 1 x.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 5:48 PM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.6815 to one decimal place.\nAnswer: 21.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1984 and 0.2.\nAnswer: -1983.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 211428 and 1365053?\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*t - 43*t - 2*v = -10, -t = -4*v + 13 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of 0*u**5 - u - 1\/42*u**7 + 0*u**4 + 0*u**6 - 5\/6*u**3 + 0 + 0*u**2. What is the second derivative of y(p) wrt p?\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {t: 6, c: 4}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -151.867 - 0.133. Let w = l - -158.7. What is w rounded to zero dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 145468214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b - -83e?\nAnswer: 84a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 170680 and 1020.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*o - 1 + 1)*(2 - 2 - 7)*(-38*o - 52*o + 3*o) as a*o + m*o**2 + r and give m.\nAnswer: 4263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a**3 + 36*a**2 - 60*a + 2. Let k be w(10). Solve 0 = 3*l - 6, -9*s - 3*l - k = -7*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4843 - 5038 = -9*k - 4*k for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 325\/(-35)*9\/(-25)*(-8435)\/(-723).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 + 0 + -2 - (7 + -8). Let c(l) = 3*l**2 - 7*l + 12. List the prime factors of c(x).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 302 + -20?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tut. Give prob of picking 1 u and 1 t.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/15 - (47\/15 + -3). Which is the closest to 2\/9? (a) q (b) -3\/2 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b + 2*b + 2*b)*(10 - 23 - 12)*(-2*b**3 - 4*b**3 - 2*b**3) to r*b + s + n*b**4 + u*b**2 + h*b**3 and give n.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 708946699?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 47*t**5 - t**4\/2 + 430*t + 131. Differentiate d(x) wrt x.\nAnswer: 940*x**3 - 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 6*p + 6. Let s(t) = -7*t - 7. Let k(w) = 3*r(w) + 2*s(w). Let f be ((-2)\/4)\/((-3)\/18). Let d = 0 - f. Give k(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 97719.29 micrometers?\nAnswer: 0.00009771929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 + 52*o.\nAnswer: -o*(o - 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -7. Solve -3 = -o - m for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.24675 rounded to zero decimal places?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 17 + (12\/(-4) - -3). Suppose -11*y + d*y = -30. Put -3, 3, y, 23 in increasing order.\nAnswer: y, -3, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x. Let m(y) = -9*y - 13. Let g(o) = -4*h(o) + m(o). Let r be g(-4). Suppose 4*c = 5*q - 0*q - 32, -r = 2*q + 5*c. Solve -q*d - 3 + 23 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12114 + -1141?\nAnswer: 10423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 2772*k - 2777*k - 4*a, 4*k + 20 = -4*a for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 14*q**3 + 69*q + 51. Find the first derivative of t(r) wrt r.\nAnswer: 84*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10018590473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13453, 12544, 11635, 10726, 9817?\nAnswer: 8908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 150 = -b - 169, 14 = -b + 2*w for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 336674934 divided by 18.\nAnswer: 18704163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 246.708 rounded to 0 dps?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3 - 0. Suppose -b = x + 1. What are the prime factors of 6\/x + 693\/22?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 15*l - 30. Let k be z(12). Suppose 0 = -2*p + k*p + 3*p. Suppose p*y + 4*y = 16. Solve -8 = -2*c - 5*w, -y*w + 0*w = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -63\/2977?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 7:03 AM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1814391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h - 20, 0 = 3*j - 4*h - 117 + 110 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (0 + -6 + -4) - 4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**2 + 102*o + 567. Let l be t(-5). Solve 9*z - 8 = l*z, -h - 2*z + 5 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9\/4 or 77\/2?\nAnswer: 77\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.33518 to two dps.\nAnswer: -5.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + o + 60, 6*a - 5*a + 3*o = 28. Let m = a + -7. Suppose -10*x + 38 = -m*x. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 377374*q - 188718*q - 188736*q.\nAnswer: -80*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1119*f + 1568*f + 57452 = 423*f - 1412 for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2 - 4*x. Determine m(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2*s - 2)*(-3*s**3 - 3*s**3 + 3 + 9*s**3) to the form v*s + k*s**4 + p*s**3 + w + b*s**2 and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23.5 + 21.7. Let i = 2.8 + j. Which is the second smallest value? (a) 4 (b) 0.1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f. Suppose -k = 3*k - 3*z - 20, 0 = -4*k - 2*z. Suppose v - 53 = -51. Let d(i) = 1 - i**v - 1 - i**k. Determine d(y(g)).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-16)\/12)\/((-20)\/(-30)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1422393 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 311511512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-7)*a)**(-25) assuming a is positive.\nAnswer: a**150","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 537 in 0.1, 73, 2604?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/4*5\/45*2?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 313 (base 4) to base 16.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 234\/((-72)\/24)*((-3)\/(-6))\/1?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -10 - 2) + (-34 - (-7 - 33)) - 57?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 561 and 12145089.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 3:46 AM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 6:04 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2. Let m(v) = v**2 + 0*v**2 - 3*v**2 + 4*v**2. Let c be 48\/21 - 6\/21. What is c*m(f) - 2*s(f)?\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1553328*r**3 + 2*r**2 + 109837316*r wrt r?\nAnswer: -9319968*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3835.492 less than -7567570?\nAnswer: -7571405.492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*1*(-1 + (-2*sqrt(3168))\/(sqrt(99)*3)).\nAnswer: 5 + 40*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -13 - -3 - (2\/75*377 + -10)*-192\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/205 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 4*z + 6. Let q be v(2). Let i(m) = -2*m**2 + 8*m - 28. Let f(k) = 1. Let j(c) = q*i(c) + 44*f(c). Solve j(a) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4*g = 0, v - 6*v - g = 0. Let i = -5 + 8. Solve 3*u - i*p + 12 = v, -u - u - 4*p = -4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 5*a - 165, 4*p + 147 = 2*p + a. Let k = p + 89. What is the remainder when 37 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*n**3 - 4*n + 4*n + (0*n**2 - 4*n + 0*n**2 + n**2)*(-n - 3 - 5 - 2) to t + r*n**3 + a*n**2 + m*n and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 106*k**3 + 7246*k**2 - 7248*k**2 - 31*k**3 to the form w*k**3 + g + l*k + m*k**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y + 10. Let q(l) = -3 + 2 - 1 - l. What is the smallest common multiple of q(-4) and w(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -421200 to the nearest 10000.\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -25*h + 21*h + 26, y - 45 = -42*h + 175 - 13 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 697697 to the nearest integer?\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -27487026339.01 - 146\nAnswer: -27487026485.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: Two letters picked without replacement from {r: 3, g: 1, t: 3}. What is prob of picking 1 t and 1 r?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 3*y. Let z be l(-4). Suppose -4*c - 2 = 2, z*b = -c - 1. Suppose i = 5*m - 80, b = m - 3*m - i + 32. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -547*c = -267*c + 840 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 - 222212222100112?\nAnswer: -222212222100211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, -166, -692, -1720, -3418, -5954?\nAnswer: -9496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 80 - 80.93. Let m = -0.07 + j. Let h = -2312 - -2309. What is the smallest value in -6, m, h?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1186.18 smaller than 2371?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j + 5. Let l be h(7). Which is greater: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -290 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -51895?\nAnswer: -51892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -11. Suppose 0 = 2*b + a*b - 2520. What is the third derivative of b*c**5 + 0*c**4 + 0*c**4 - 27*c**2 - 287*c**5 wrt c?\nAnswer: -420*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-26 - -31 - (9 + -1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.1 + -0.9. Let l = -14 - n. Put 3\/5, 0.5, l in increasing order.\nAnswer: l, 0.5, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -8, 8, 44, 106, 200, 332, 508?\nAnswer: 734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 112146301 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 - 24. Solve 2*z + p*z - 8 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 5*v + 23. Let w be 25 + 5\/(v\/(-6)). Calculate the highest common divisor of 84 and w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -62162246047 and -1.\nAnswer: -62162246048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 316419 times -1.1\nAnswer: -348060.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 7, 18, -2, -4 in decreasing order.\nAnswer: 18, 7, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*5 - 2\/(-2). Let q(r) = -7*r - 6. Let z = 5 - 3. Let b(o) = 3*o - 2 + 7 + o + z*o. What is g*b(u) + 5*q(u)?\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/20 (b) -10\/9 (c) -3.1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40264933?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.16 less than or equal to -178?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 256?\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 7*a**2 + 26*a - 960. Determine v(-14).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiilrlrplz. Give prob of sequence ii.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of y**6\/120 - y**5\/12 + y**4\/6 + 7*y**3\/6 + y**2. What are the prime factors of j(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/2970*30 - (1912\/36 + -7)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27135 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/180 and -12\/7715.\nAnswer: 277740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, j: 3, b: 1}. Give prob of picking 1 j and 1 b.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 + -12. Let p = -28.0000034 + u. Round p to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2200021121 - -220?\nAnswer: 2200022111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -127 and -0.3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 2:51 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(637) + 1 + 2 - sqrt(637)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3857, 0, 130.\nAnswer: -3857, 0, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 2*m - 16. Suppose 2*o = -0 + 2. Let c be (m\/(-18))\/(o\/2). What is the closest to -0.1 in 0.2, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 10 = 7*w, 17*n - 858*w + 856*w = 95 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -92 and -0.01?\nAnswer: 0.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*y - n, 0*y - 25 = -5*y - 5*n. Sort 3, 5, 35, y in ascending order.\nAnswer: y, 3, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2184239 rounded to 2 decimal places?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 13 and -745571.\nAnswer: -745558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 101192*p**2 + p - 1. Suppose 0 = 5*o - 8*o + 6. Let k be x(o). Let z = k + -924769. What is z rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 5:24 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/9)\/(f\/f**(2\/11))*f*f\/(f**(-6)*f)*f**(-2\/3)*f assuming f is positive.\nAnswer: f**(634\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 5*a - 42302, 0 = 5*j - 2*a + 34417 - 104972. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*h - 4*i + 32 = 64*h, -6*h + 135 = 5*i for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 53*h**2 + 454*h + 335. What is r(42)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b + b**3 + 0*b**3 - 5*b**2 - 2*b + 1. Let m be f(5). What is the units digit of m\/10 + (-4)\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -1\/15*c**6 + 1 + 150*c**3 + 61\/15*c**5 - 26*c**2 + 0*c - 80*c**4. Determine f, given that s(f) = 0.\nAnswer: 1\/2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 13625 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -5, 7, -2, -415 in descending order.\nAnswer: 7, -2\/7, -2, -5, -415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 79 - 1596?\nAnswer: -151a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 - -65.9. Let p = j - 17.89595. What is p rounded to 4 dps?\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (20\/(-30))\/((-6)\/27). Solve 3 + 0 = -p*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a - 2*a - 8*a + 20*a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 6:08 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 4*d**2 + 4*d - 3. Let f be t(3). Suppose 0 = -4*z - f*z. Suppose -2*l + 18 = -z*l. What is the remainder when 16 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of o**5\/15 + o**4\/8 + o**3\/2 + o**2. Let l be k(-2). Suppose -2*j + 5*v - l = -140, 4*v - 156 = -3*j. Does 18 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p**2 - 2*p - 1. Let x be q(-1). Suppose 26 = 2*v + x*f, 24 = 4*v + 3*f - 0*f. Suppose 0 = m - v. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 2:09 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 3*w**5 + 422331*w**4 + 10134567*w**3 + 49404789*w**2 + 68405958*w = 0?\nAnswer: -140753, -18, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285581958.\nAnswer: 2, 3, 1153, 41281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n\/(n*n**(-1)\/n)*n)*n)**(-44))**(3\/10) assuming n is positive.\nAnswer: n**(132\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7276511 - -22715.\nAnswer: -7253796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 - 976*m + 110880.\nAnswer: 2*(m - 308)*(m - 180)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)*2)\/sqrt(6) - (sqrt(52)\/sqrt(4) + 3).\nAnswer: -3 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*c - 60*c - 55*c - 73*c - 55*c + 279*c.\nAnswer: -26*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24.786 - -25. Let b = r - 0.233. What is b rounded to three dps?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3362900 to the nearest 100000.\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 50? (a) -0.4 (b) -21 (c) -6\/7 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 34?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 363 + -358. Let y = -659 + 659.2. Sort 0.5, y, -3, s.\nAnswer: -3, y, 0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2309682 divided by 6\nAnswer: -384947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -5284*k - 36960. Determine f(-7).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of w**6\/120 + 13*w**5\/60 + 7*w**4\/12 + 23*w**3\/6 + 673*w**2. What is t(-12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -44 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -254 (base 9) to base 8\nAnswer: -323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -9 + 3. Let s(x) = 5*x - 2 + 0*x - 1 - 2 + z*x**3 - 3*x**2. Let p = 6 - 8. Let k(w) = -w**3 + w**2 - 2*w + 2. Give p*s(g) - 5*k(g).\nAnswer: -g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zxg when three letters picked without replacement from sgxzxsqz.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -1598*z**6\/15 - 31*z**3\/3 + z**2\/2 - 20*z - 34. Find the second derivative of h(p) wrt p.\nAnswer: -38352*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*l**2 + 74*l**2 - 2 + 13*l + 126*l**2 + 11*l - 29*l**2.\nAnswer: 142*l**2 + 24*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -919996, -920030, -920096, -920200, -920348, -920546, -920800, -921116?\n\"Answer: -q**3 - 10*q**2 + 3*q - 919988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -3, -0.098, -49\/5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is b8c8 (base 16) in base 9?\nAnswer: 71800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6 + 4.4. Let s = q + 0. Let l = 4 - s. Which is the nearest to 2\/3? (a) l (b) 1\/9 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 640 = 7*p. Calculate the highest common factor of 16 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -1 - (7 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 53 = 5*c. Suppose -4*x = -c*x. What is the second derivative of x*w + w**3 + 3*w - 2*w wrt w?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 2169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -28*s**2 - 21*s - 86. Let z be m(-5). Let l = z + 685. Solve -l = -74*k + 70*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j - 1117 + 1102 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 33 = -n, -4*b - 4*n = -n - 127. What is the units digit of 8\/6*(b - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 447?\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 9561, -2 in ascending order.\nAnswer: -4, -2, 3, 9561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2 = 3*b + 6, 3*b = -3*p - 6. Let u(j) = j - 1. Let q(n) = n. Suppose 4 = 2*z + 2*l, 5*z - 2*z - l - 6 = 0. Let i(r) = z*u(r) - q(r). Give i(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + -2)*4\/12. Let b = 0 - t. Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 15 - 678*c + 675*c.\nAnswer: -3*c - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -845*f**4 - 828620*f**3 - 206426820*f**2 - 1611857120*f - 3197414720 = 0 for f.\nAnswer: -6322\/13, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -7922, -0.5 in descending order.\nAnswer: 2, -0.5, -7922","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**2*q**3 - 12120714*i**2*q**2 - 59*i*q**3 - 191*i + 45*q**3 wrt i?\nAnswer: -4*q**3 - 24241428*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 12\/(-42))*60788\/2171?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8236627*g**2*h - 210*g**2 + 3*g - 140 wrt h?\nAnswer: -8236627*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -2\/23 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -g**5\/20 + 5*g**4\/12 + g**3\/3 - 5*g**2\/2 - 8*g. Let x be q(5). Solve 2*f - 12 = x*j, 5*f - 2*j + 6*j = -3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, e: 2, w: 1, l: 11, y: 1, j: 3}. Give prob of sequence eyfw.\nAnswer: 1\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51\/416 - -3221\/1248. What is the common denominator of b and 97\/318?\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46 - (-15 + -9)) + 18 - (45 + (1 - 3))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1842, 3664, 5478, 7284, 9082?\nAnswer: 10872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -5*k - 16, 7 = -4*k + 2*s - 19. Which is the nearest to 1? (a) k (b) 2 (c) -7 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = a - 120. Suppose 0 = 4*l - 156 - a. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 241352 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v + 21*v = 25. Suppose -5*w + 2*m = -w - 62, -2*m = -v*w + 75. Suppose 3*x - 8*x + 1105 = 0. Calculate the highest common factor of x and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103300 - 3003310?\nAnswer: -2300010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -64414 (base 9) in base 3?\nAnswer: -2011110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -4*p - 12, 5*a + 1 + 14 = p. Put 5, a, 3 in increasing order.\nAnswer: a, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12769 - 983.2433008?\nAnswer: -13752.2433008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -785 = -4*a + 123. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4440800 to the nearest 10000.\nAnswer: 4440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of v**4\/4 - 7*v**3\/3 + 10*v + 1467. Determine m(6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6114.\nAnswer: 2, 3, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 47719*u**4 + 71404?\nAnswer: 190876*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**2 + 71*m - 4. Let p(u) = 3*u**2 - 5*u - 1. Give i(o) - 2*p(o).\nAnswer: -3*o**2 + 81*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49 - -49. Let r(m) = -m**3 + m**2 - 2*m + 108. What is the least common multiple of r(b) and 10?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 680484 and 82.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u - 4*u. Solve -4*p + 4 - 16 = u for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + g = 10, -3*c = 5*g - 33 + 52 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 10*b**2 + 12*b + 15. Let x be z(-11). Put 3, -3, 7, x in descending order.\nAnswer: 7, x, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -89*x**4\/24 - 3*x**3\/2 - 2*x**2 - 1. Is u(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24a55 (base 12) to base 6.\nAnswer: 1022545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -108*c + 90. Let p(w) = w - 1. Let m(i) = -3*b(i) - 270*p(i). Let z(n) = 17*n**2. What is z(m(l))?\nAnswer: 49572*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 1 (c) -3 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13825 + 14009. What is the third biggest value in 2\/13, -0.06, g?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4 - 3 = -4*l, 5 = 5*l + 5*h. Suppose -l*m + 44 = 2*m. Suppose -5*j + 60 = 5*j. Calculate the lowest common multiple of m and j.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 228445*p**2 - 4*p + 16. Let j be n(3). Suppose 0 = -2*s + 6, -4*r - 6*s + j = -3*s. Round r to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*m + 41 = 2*v, 3*m = 3*v - 54. Let d be (-3 + v)*(-6)\/(-15). What is the third biggest value in 5, d, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - q - 3*q)*(3 - 3 + 22)*(5*q - 2*q - 2*q).\nAnswer: -44*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2 = -2*b. Let z(x) = -x**3 + 6*x**2 + x - 4. Let g be z(6). Suppose -2*j = -j - g*p, p = j. Sort b, 5, j in increasing order.\nAnswer: j, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18316389*c**4*i**2 - 3*c**2*i**2 - 4*c*i**2 - 3659200*c*i wrt c?\nAnswer: -219796668*c**2*i**2 - 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cka when three letters picked without replacement from kckkckakcccaaakk.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 23*s**2 + s. Let o be n(1). Let b be 3*(3 + (-2 - 0)). Suppose 0*a = b*a - o. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of 1\/24*i**4 - 5*i**2 + 1\/2*i**3 - 1\/60*i**5 + 0 + 0*i. Suppose d = -2*d. Calculate z(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and 19824853.08928.\nAnswer: 19824852.58928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(27)\/sqrt(144) + 5 - (sqrt(36)\/(sqrt(48) + sqrt(12)) - ((sqrt(3) - sqrt(15)\/sqrt(5)) + -4)))**2.\nAnswer: -sqrt(3)\/2 + 433\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -j**5\/30 + 13*j**4\/12 - 15*j**2. Factor y(b).\nAnswer: -2*b*(b - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -2\/3 (b) -5 (c) -1 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19146 - -60793. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(-3\/7)\/s))\/(s*s**(-9\/4)*s))**46 assuming s is positive.\nAnswer: s**(1725\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59 - -70. What is the derivative of -11 + 20*a + 10*a - q*a - 5 wrt a?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {f: 1, a: 5, r: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*t**3 - 3*t**2 - 2*t**3 - 28*t + 3*t**2.\nAnswer: -13*t**3 - 28*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 3235?\nAnswer: -3235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, u: 1, n: 3, o: 1, p: 5}. What is prob of picking 2 n and 2 p?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/132 and -173\/279048.\nAnswer: 279048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 2438.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1*(sqrt(18)\/sqrt(24) + sqrt(3) + -5 - (-3 + sqrt(3)*-1 - 2*sqrt(9)\/sqrt(3))))**2.\nAnswer: -18*sqrt(3) + 259\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 6:01 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 11*w - 31. Let s be p(3). Let c(q) be the second derivative of 0 - q + 1\/2*q**s + 1\/2*q**3. What is the derivative of c(z) wrt z?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + (sqrt(325) - sqrt(13) - sqrt(13))*1)**2 - ((3*sqrt(1053) + sqrt(1053))**2 + sqrt(13)).\nAnswer: -16640 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 143 - 82. Let z(l) = l**2 + l + 1. What is the remainder when n is divided by z(4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2478?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -407 + 2918. What is the greatest common factor of j and 124?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*w = 89*w - 1380. What is the greatest common divisor of w and 345?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3262.\nAnswer: 2, 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 19*j**3 + 11*j**2 - 21*j + 53. Is o(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -555004 (base 8) to base 11\nAnswer: -118455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-6))\/((-20)\/6 - -3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3710481 - 141657?\nAnswer: -3852138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(2057) + 0)*6 + ((sqrt(2057) + sqrt(2057) + 1)*-2)**2 + sqrt(2057) + (-2 + 1 + sqrt(2057) + sqrt(2057))**2 + 1.\nAnswer: 209*sqrt(17) + 41141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - t**2 + t - 1. Let j be v(-2). Let w be j\/(6\/(-4))*-3. Suppose -15 = -b - w*b. Solve 5 + 9 = -3*r + 2*q, -3*q - b = 2*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/2)\/((-63)\/(-24) + -3). Suppose v*t - 9 = 39. Let o = 9 + -8. Solve -4*r - 8 = -f, -r + t = 3*f + o for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, j: 2, w: 4, s: 1, c: 2}. What is prob of picking 2 c and 1 w?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001000 - -1000?\nAnswer: 1010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 66 (b) -47380 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 26 + 50 = 0. Suppose 285 = -4*x + 7*x. Calculate the highest common divisor of x and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h + 7*h + 162 = 0. Find the common denominator of h and (-744)\/(-30)*(-1)\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2110.\nAnswer: 2, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25*(-10)\/4*3022\/15110.\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3*-24)\/(-1 - 0). Suppose -y = -2*q - 5*b, -3*q - b + 142 = -2*b. What are the prime factors of q?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20976 - 2.46846.\nAnswer: 20973.53154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b + b - 6*b)*((-2*b + 0*b + 0*b)*(b + 3 - 3) + 3*b - b**2 - 3*b + 10*b**2 + 3*b - 11 + 12 - 2*b) in the form r*b + l + o*b**3 + i*b**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 88, 90, 94, 100, 108?\n\"Answer: j**2 - j + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -29*u - 4. Let o be r(2). Let p be (7 - 1)\/(-7 - -9) - o. What is the greatest common factor of p and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a centimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1473, -5257, -11525, -20277?\nAnswer: -31513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11372 and 44.\nAnswer: 125092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -480\nAnswer: -1\/160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 4:38 PM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -211, -1926, -6743, -16264, -32091, -55826?\n\"Answer: -267*a**3 + 51*a**2 + a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 x when two letters picked without replacement from {x: 3, l: 1, b: 3, q: 1, d: 3, u: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9, -0.4, 2\/13, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 477 + 27 = 3*q. Is 24 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.856 in 0.2, -16\/3, -3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010 + 1000100001111100001101010?\nAnswer: 1000100001111100001011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 431328 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13\/5 in -1\/5, -1\/3, -1\/4, 13?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhvgvhvxvxxxhxxvvv. What is prob of picking 1 x and 1 h?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {f: 8, o: 1, s: 10}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 43+3.4\nAnswer: 46.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -926, -3802, -8600, -15320, -23962?\n\"Answer: -961*x**2 + 7*x + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dhdhhhdhhhdhhh. Give prob of picking 2 d.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 1 = 2*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1292.3 - -1453. Let f = -0.265 - 141.735. Let j = f + a. What is j rounded to zero decimal places?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 4 - 46. Suppose -4*o = -31 - h. Let k be 3\/4 - o\/(-52). Which is the closest to 1\/4? (a) 3 (b) 1\/7 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7)*2 + 3)*4)**2.\nAnswer: 192*sqrt(7) + 592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 227 * 0.1\nAnswer: 22.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**5\/13 - 22950*y**4\/13 - 22954*y**3\/13 + 22950*y**2\/13 + 22952*y\/13 = 0.\nAnswer: -1, 0, 1, 11476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (-8 + 10 + -27 + 4 - 3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 greater than or equal to 23861\/391?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 57 (b) 2 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4266, -8530, -12794, -17058, -21322?\n\"Answer: -4264*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 22*g**2 - 48*g + 3. Let s(n) = -2*n**2 + n + 21. Let r be s(5). Let f be o(r). Let b(h) = -4*h + 2. Determine b(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, p: 3, v: 2, d: 1}. Give prob of picking 2 p.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 9*p + 5. Let t(x) = -10*x - 6. Let f(k) = 6*q(k) + 5*t(k). Let u(i) = -3*i. Let b(o) = 4*f(o) + 6*u(o). Let n(v) = 2*v. Determine n(b(m)).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 6*d - 1. Let b be g(-3). Suppose 2*j + 14 = 5*f, b + 0 = 3*f - j. Solve -f*c = 4*a - 4*c - 4, 0 = -5*a - 2*c + 14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 4*m = -18, -26*x + 23*x - 11 = -m for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2. Let g = 6 + 8. Let d be 4\/g - (-48)\/28. Let n(c) = -c - 2. What is d*n(y) - 3*b(y)?\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 2585 divide 46604965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1.09 * 66341\nAnswer: -72311.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13177 is divided by 11173?\nAnswer: 2004","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 329 + -329. Let u = 91.6 + -95.6. Let q = 0 - -0.2. Which is the closest to q? (a) o (b) 7 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 24943396.8 and 1.\nAnswer: 24943397.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.32 minus -87282?\nAnswer: 87282.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 x when three letters picked without replacement from {h: 16, x: 2}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**32*w)\/w**(1\/16))\/((w**(-20)*w*w)\/w**(-28)) assuming w is positive.\nAnswer: w**(367\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -13*((-81)\/45 - -2) + (27 - (-930)\/50)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*z + 2*s - 2, -10 = 2*z - 5*s. Suppose z = -i - 0*i + 4. Solve 0 = -i*h - h - 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 5 + 8 - 8 + 2*f**2 + 5*f**2. Let w(u) be the second derivative of -u**4\/12 - u**2\/2 - u. Calculate -q(c) - 5*w(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u + 0 + 0)*(-u**3 + 14206*u + 13710*u - 26616*u) + 0*u**4 + 4*u**4 - u**4 as k + a*u + n*u**3 + y*u**4 + z*u**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4992)\/(-3))\/(2\/2*1). Suppose 5*o - c + 279 = 0. Calculate the remainder when o is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*j = 11, -3*i = 4*j + 11 - 4. Suppose 4*h - 3*g = -85, -4*g + 4 = -i*h - 58. Let y be (-18)\/h + 2\/11. Which is bigger: y or 16\/15?\nAnswer: 16\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1859*y + 0*y**2 + 1859*y + 2*y**2 - y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lyywwwyylywyixyjx. What is prob of picking 1 x and 1 l?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (6\/(-88))\/(-10 + (-23610)\/(-2100)) and -23\/957.\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p. Let n(x) = x + 0*x + 12 - 2 + x. Give n(z(w)).\nAnswer: 4*w + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + -3 + (3 - 2) + 9. Suppose -5*w + 0*w + 2*b = -17, 4*b - 26 = -2*w. Suppose -4*g - 17 = r, 0*g = w*r - 5*g - 40. Which is bigger: a or r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2708.\nAnswer: 2, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3740, 3727, 3700, 3653, 3580, 3475?\nAnswer: 3332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12280 or -6823?\nAnswer: 12280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 80, 143, 210, 281, 356?\nAnswer: 435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/8)\/u**(-42)*u*u**2*u*(u\/u**25)\/u assuming u is positive.\nAnswer: u**(167\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*n = 41, -3*y = y - 5*n - 71. Suppose 3*v = 2*u + 148, v - 19 = -4*u + 7. What is the remainder when v is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-10)\/(k\/(k\/((k*k**4)\/k))))\/((k**1*k)\/k*k**(-3\/5)*k) assuming k is positive.\nAnswer: k**(-77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -128.730456 rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/4 - 212*j - 44944.\nAnswer: -(j + 424)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*d**3 + 123*d**3 - 42*d**3 - 39*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 143, 5, -1.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -2 (c) -5 (d) 1\/2 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -158 + 159 + -18 + -3\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j*j**(1\/6))\/j*j))\/j*j\/j**(1\/10)*j*(j**(1\/3))**25)**(-30) assuming j is positive.\nAnswer: j**(-272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -5*b**8\/56 - b**7\/210 + b**5\/15 - b**4\/4 + 125*b**2. Find the third derivative of t(a) wrt a.\nAnswer: -1800*a**2 - 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 6784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 900239193?\nAnswer: 3, 7, 37, 137, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 7*z**2 - 11*z + 7. Determine r(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12544334 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: -8 (base 16) to base 11\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, c: 4}. What is prob of picking 4 q?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**3*h)**27\/(h**(-11)*h*h*h**(-2)*h*h))**(-4\/17))**7 assuming h is positive.\nAnswer: h**(-3276\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1026)\/18)\/(14\/((-70)\/15))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15433009?\nAnswer: 31, 497839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 - (2\/1 + 1). Suppose -z - 11 = 4*y, -q*y + 3 = -3*z - 16. Let p = z + 18. Is 6 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, 2, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + ((-1 + (-6*(2*sqrt(567) - sqrt(567)) - sqrt(567)) + sqrt(567))**2 - (sqrt(567) + 2 + -1 + sqrt(567) + (-2 + sqrt(567))*-1))).\nAnswer: 396*sqrt(7) + 81644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/27 - (-56)\/(-9). Let d be ((-2)\/(-72))\/(t\/9). Which is bigger: -0.2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 24 = 3*g, g - 20 = -3*g. Suppose -4*l - 3702 = s - 22687, 0 = -d*l + 15. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -5*h**3 + 3*h**2 - 7*h. Give o(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -t + 2*b - 14, -7 = -5*t + b. Let v be 264\/110 - t\/5. What is the highest common factor of v and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211361007 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2734 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -13*w**7\/210 + w**4\/12 + 31*w**3\/6 - 2*w**2 - 13*w. Find the second derivative of i(p) wrt p.\nAnswer: -156*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x - 6. Let s(v) = 9 - 196*v + 83*v + 109*v. Determine 7*n(w) + 5*s(w).\nAnswer: w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 4. Let i = 10 + c. Solve i*p + 5 = -t, 5*p - 7 + 2 = -5*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -559*t**3 - 10*t**2 + 1883*t - 11. Let j(y) = -112*y**3 - 2*y**2 + 377*y - 2. Let x(f) = -11*j(f) + 2*o(f). Find the second derivative of x(a) wrt a.\nAnswer: 684*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*d - 2*o + 3*o, -7 = -4*d - 3*o. Let r be 14\/(4 - 3) + d. Suppose r = 8*a - 5*a. Solve f + 8 = -n, -a + 10 = -2*f for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {l: 8, s: 4, v: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -7*q + 2. Let p = -1551 - -1556. Give k(p).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -51*l - 80. Let w(n) = -2*n + 1. Let k(t) = -24*w(t) - 3*y(t). What is the first derivative of k(j) wrt j?\nAnswer: 201","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*d**3*z**3 + 4*d**3*z**2 + 4*z**3 - 26*z wrt d?\nAnswer: 9*d**2*z**3 + 12*d**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12080.4994 and -2.\nAnswer: -12082.4994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 467*v - 465*v - 212, -2*v + 284 = 4*a. What is the remainder when 4449 is divided by a?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 3 = -h, 43*h - 47*h = -2*q + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-nine fifths of a tonne?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1598 and 170422.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 381*c - 381*c + 31*c**2 - 5*c**2. Let o(t) = 19*t. What is n(o(b))?\nAnswer: 9386*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 24494532, 48989090, 73483648, 97978206, 122472764?\n\"Answer: 24494558*d - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3716775357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -206.69 - -210.69. What is the closest to 0.6 in g, 35, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k + 9. What is t(7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**3 - 34*h**2 - h + 29. Let t = 324 + -307. Calculate d(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 103537?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 113886 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4686*s + 3 + 1.\nAnswer: 4686*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 75 = 15*n, -4*k - 732 = -5*n - 662 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1036 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2910 + -1464. List the prime factors of 2\/4 - (l\/(-4) - -2).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**2 - 3*i**2 + i**2 + (28*i - 60 + 60)*(3 + 0 - 7)*(-4*i + 3*i + 0*i) + (i - i + i)*(-i + 0*i + 3*i).\nAnswer: 112*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*l - 117 + 117 to k + g*l and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*l - 16 = -4, -30 = -5*v - 5*l. Determine q, given that q**2 + 6 + 383*q**4 - 33*q**2 + 10 - 367*q**4 - 8*q**3 + 4*q**5 + v*q = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, -3, -0.4 in descending order.\nAnswer: 0.05, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 + 49 = d + 5*g + 125, 0 = d - 4*g - 2 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13.71 + 14.1. What is the closest to h in 3, 1\/5, 1\/8?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11006 + -10662. What is the least common multiple of 12 and q?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8\/6797 + 264083\/849625. Calculate the common denominator of -34\/11 and d.\nAnswer: 1375","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 3*q - 5. Let x(o) = o + 1. Let k(m) = -a(m) - 6*x(m). Let f(g) be the third derivative of -g**4\/24 + 5*g**2. Let n be f(-4). Determine k(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182236 - 403889 = 7089*j + 154064 for j.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1141 is divided by 60.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.3163 - -12478.1837. Let g = d - 12481.5299804. Let y = -0.03 - g. Round y to six decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13088137 times 0.3\nAnswer: -3926441.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 5:05 PM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -1. Let w = 164.6 + -165. Let x = 1.4 + -1.1. Which is the third smallest value? (a) w (b) x (c) 1 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 3932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 220734.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/28*(-8)\/(-80)*28?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 2*k**2 - k + 14. Let x be a(-3). Calculate the remainder when 83 is divided by 100\/7 + 8\/x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 5*f**4\/2 + 11*f**2\/2 + 1. What is the second derivative of i(d) wrt d?\nAnswer: 60*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of 0*g - 1\/15*g**6 - g**4 + 1\/210*g**7 + 4*g**2 + 11\/30*g**5 - 3 + 3\/2*g**3. Factor m(j).\nAnswer: (j - 3)**2*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 663035 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j - 10. Let r be d(6). What is the remainder when (126\/36)\/(1\/r) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 95933?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 - 17. Suppose 5*u + l - 29 = 0. Solve 4*x - 12 = u*w, 2*x + 12 = -4*w - 3*x for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 1090 = -3*b - 4*p, 5*b = -p + 1105. Suppose -4*o = -77 - 71. Calculate the highest common factor of b and o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 81, 154, 219, 270, 301, 306?\n\"Answer: -j**3 + 2*j**2 + 74*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 6*n + 4. Let p be c(4). Let o = 9 - -5. Let b = 13.6 - o. Is p < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6 + 2\/(-3) + 36\/(2 + 4). What is the fifth biggest value in 1, -35, p, 3, -5?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 - 43. Let x(i) be the second derivative of -1\/15*i**3 + 0*i**2 + 1\/35*i**7 - 2*i + 3\/25*i**5 + 0*i**4 - 8\/75*i**6 + s. Factor x(k).\nAnswer: 2*k*(k - 1)**3*(3*k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 21*a. Let l(h) = 93754432*h**2. What is d(l(j))?\nAnswer: 1968843072*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-7 - (-10 - -13))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g + 2*f + 1, -4*g + 328 = 5*f + 339 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1\/f)**(2\/57)*f**(2\/11)\/f**1*(f**(-1\/2)\/f)\/(f\/(f*f\/f**(1\/2)*f))*f**(1\/2)\/(f**(-1\/3)\/f*f*f) assuming f is positive.\nAnswer: f**(-65\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6783\/4845*25\/(-63).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or 9\/13?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (288\/(-30))\/8*10\/(-2). Sort r, -2, -1, 4 in increasing order.\nAnswer: -2, -1, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -62*b - 12. Let w(h) = 29*h + 6. What is -7*w(c) - 3*y(c)?\nAnswer: -17*c - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 213317.3303 - -35248.\nAnswer: 248565.3303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4730 + -745. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 2*f - l, -8*f - 13 - 14 = 5*l for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**5 + 1337013*a**3*j - 4*a**2 - 368*a*j - 13*a + 4161*j - 1 wrt a.\nAnswer: 40*a**3 + 8022078*a*j - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 195750 <= 8613003\/44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + f = -34, 4*q = -9*f + 7*f + 30. Suppose 2*a + 4*y - 12 = 0, 8*y + 25 = 3*a + q*y. Solve 0 = a*k - 7*k - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-2)*4\/(-8). Suppose 0 = 2*u - u - s. Suppose -2*y = 2*y - 64. Solve u*o - y = -o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -0.14560296?\nAnswer: 0.07280148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 30 = 2*x + 48, -4*b - 19 = x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, w: 1}. Give prob of picking 2 n.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 2. Suppose 3*r + 30 = 3*d - d, 0 = 2*d + 3*r - 54. Let w(z) = 3*z**2 + 7. Let p(n) = d*u(n) + 6*w(n). Let t(f) = 7*f. Calculate t(p(a)).\nAnswer: -21*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o**5 + 5630*o**4 + 2770060*o**3 + 282974270*o**2 - 1190651255*o - 1470861100 = 0 for o.\nAnswer: -197, -1, 5, 1516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 59 + -41. What is the second derivative of -28*b**3 - 14*b - v*b + 43*b - 16*b wrt b?\nAnswer: -168*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393567011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37\/((-46805)\/138))\/((-2)\/20)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzxxxwzzlwnxxxx. What is prob of sequence ln?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/4, -1, 70.5, 0.081, 4, 8, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11330 - -11346. Calculate the greatest common factor of 4148 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -86*r + 3. Let g(h) = -29*h + 1. Let z(w) = 17*g(w) - 6*k(w). Calculate the smallest common multiple of z(1) and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26797414 a multiple of 584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(171) - sqrt(171) - (sqrt(76) + -2))**2.\nAnswer: -56*sqrt(19) + 3728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 10*s. Let g be r(0). What is the closest to g in -2\/13, -6, -4, -1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 666 + -657. Solve -7*k = h*k + 48 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 126*g**3 + 138*g**3 - 2.\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 8, -2, 17 in ascending order.\nAnswer: -4, -2, -1, 8, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -16, -1, -2, -412, -3 in descending order.\nAnswer: 5, -1, -2, -3, -16, -412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -874687 divided by -874687.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b**2*r + b**2 - b*d - 6*b*r - 464*b - 5*d*r + 162*d + 2*r - 2 wrt b.\nAnswer: 2*b*r + 2*b - d - 6*r - 464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, h: 16, p: 1}. Give prob of sequence hph.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.427622743 to 3 decimal places.\nAnswer: 1.428","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - 5a?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 9, e: 10}. What is prob of picking 4 g?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -19579878 divided by 3\nAnswer: -6526626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 52740000 to the nearest one million.\nAnswer: 53000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3130814 or 1?\nAnswer: -3130814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/5)*s**(-10))\/(s**(3\/5))**(2\/115) assuming s is positive.\nAnswer: s**(-5411\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 185.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 16915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 71725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 m when three letters picked without replacement from hmwwjmwmmmww.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 16 = -0*s, 4*s - 10 = -2*t. Let r = -2 + 7. Let j(a) = -a**2 - a + 10. Let z be j(-3). Sort t, z, r in decreasing order.\nAnswer: r, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 1434 = -3*m - 1404, -3*v - 4*m + 33 = 0 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 - 576*x**2 + 1692*x.\nAnswer: 4*x*(x - 141)*(x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-162)\/(-68) + 3\/(408\/16).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 802383605?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12054983 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1\/7)*g*g)\/((g*(g\/g**1)\/g*g)\/g)*g**(-5)*g**(-5)*g*(g**6\/g*g**(-4\/5))\/(g**(5\/2)\/(g\/(g*g**6))) assuming g is positive.\nAnswer: g**(-731\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 2 - 2)*(-3 + 4 - 2) + (2 + 0 - 1)*(3*d + 4 - 4) + 0 + d + 0.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 466003 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x**2 + 4*x**2 - 3*x**2 + 3*x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 101531 to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8703 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.3625 or -8\/487?\nAnswer: -8\/487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 62*k - 65*k. Let p be (-1 - 9\/(-6))*(-44)\/k. Let g be 2\/p + (-240)\/(-132). Solve g*l + l = 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(342)\/(sqrt(144) + sqrt(9)))\/((sqrt(256)\/sqrt(8) - sqrt(2)) + sqrt(2)).\nAnswer: sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*d**3 - 57*d**3 - 55*d**3 + 144*d**3.\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h**2 - 2*h + h**2 + 2*h.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13473, 55300, 125017, 222630, 348145, 501568?\n\"Answer: s**3 + 13939*s**2 + 3*s - 470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxjo when four letters picked without replacement from {a: 1, o: 8, x: 2, j: 6, f: 1}.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.1339 to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(432) - (sqrt(126)\/sqrt(7))\/sqrt(6).\nAnswer: 59*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(-15*t**4 - 21*t**4 + 10*t**4) + (-3 - t + 3)*(t + t**3 - t).\nAnswer: 51*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -393*t**2 - 2217 wrt t.\nAnswer: -786*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n**2. Let k(c) = 44772*c + 58. Calculate k(w(m)).\nAnswer: -179088*m**2 + 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*u**2 - 10*u**2 - 3*u**3)*(7*u**2 - 1442 + 1442 + 39*u).\nAnswer: -21*u**5 - 117*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 755, 752, 747, 740, 731, 720?\nAnswer: 707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2900 and 179000?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -142 - -78. Suppose -5*w - 10 = 0, 4*t + 258 = 10*w - 11*w. Let l = g - t. Solve -2*f - 5*j - 1 = l, -3*f + 0*f + j + 7 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2*j = 34, 4 = -j + 2. Let a be (k + -23 + 1)\/((-1)\/2). Which is greater: a or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 32 = -5*z - 5*j, z + 12 = -2*j. Let l = z + 26. Suppose -2*w - h + 23 = 0, 6*h = 2*h - 4. What is the remainder when l is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.451789688 to 3 decimal places.\nAnswer: -0.452","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -201 - -14122?\nAnswer: 13421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 202356638?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 40608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 98117 rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g**2 - 2*g - 5. Let h be r(2). Solve 0*l - h*c = -2*l + 23, 20 = -4*c for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 542\/6 + 19\/(-3) + 8. Let x = d - -107. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 471993?\nAnswer: 3, 131, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -9*o - 2. Let v(g) = 8*g - 1 + 3 + 0*g. Let b(c) = 5*v(c) + 4*z(c). Differentiate b(h) with respect to h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3 - 10\/3*c - 8\/3*c**2 - 2\/3*c**3.\nAnswer: -2*(c + 1)**2*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3*a = -2*a, -5*a = -5*y. Solve -2*j = -4*c + 14, y = 2*j + j + 3*c + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 2. Let k(d) = 2*d - 6. Let s(u) = 3*u - 1. Calculate the lowest common multiple of k(n) and s(2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -322?\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 4 - 4)*(-22 + 8 + 3)*(-297 + 297 - 12*i**2) to the form k*i**2 + v*i + n and give k.\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**4\/3 - 37408*s**3\/3 + 187140*s**2 - 2807600*s\/3 + 4679750\/3 = 0.\nAnswer: -18719, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 29271000 to the nearest one hundred thousand.\nAnswer: 29300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22709?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(4)\/sqrt(2) + -2)*1.\nAnswer: sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2432\/(-512) + (-2)\/2 + (-14)\/(-8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 9:53 AM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 110*x + 2988. What is r(49)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 3, 0.08, -3, -25\/8?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 13 = 3*c, 2*c + 10 = 6*c + 3*w. Let j be 32\/10 - ((3 - 4) + c). Suppose -8\/5*g**3 + 0 + 7\/5*g**2 - 1\/5*g - j*g**4 = 0. What is g?\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 0 (c) 4 (d) -21589 (e) -3 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.71 times 1.46\nAnswer: -1.0366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**3 + 6*m**2 - 3*m + 1. Let t be b(2). Solve -8 = c + 5*u, c + 4 = 2*u + t for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 30\/(-8) + 4 - (-23)\/4. Suppose 5*v = -4*f + 33 - 4, 3*v - 3 = 0. Find the third derivative of 5*i**6 - 5*i**x - 3*i**6 - 5*i**2 - 3*i**f wrt i.\nAnswer: -720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12366 is divided by 217?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v + 10. Let a be t(8). Suppose -5 = -3*b + a*b + 4*x, -b = x. Let f be -2 - b\/((-6)\/9). What is the nearest to -0.1 in 2\/5, -0.1, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 363991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*k - 777 = 176*k - 273*k for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*a**2*z**2 - 5*a**2 - 2*a*z**4 - 20*a*z**2 - 77*a*z wrt z?\nAnswer: -8*a**2 - 24*a*z**2 - 40*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3373960 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7756*b + 40 = -7758*b + 4*r, 19*b = 27*b - 8*r + 168 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 512\/2688*(-108)\/(-32)*(-14)\/(-24).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 557563 is divided by 557541?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -766*w - 2520 = -193*w - 69*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -652634\nAnswer: 2\/326317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x - 312. Let o be m(0). Let n = 90 - o. Let q be 2\/(n\/(-400) + 1). Round q to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 103610874?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from bzzzzzzbbbz?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 18*b**2 + 14*b - 17. Let i(z) = -z**3 - 17*z**2 - 17*z + 17. Let a(c) = 5*i(c) + 6*m(c). Give a(-23).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2082 is divided by 694?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 17*v - 9. Let b be x(18). Suppose -j + 17 = 4*j - p, -b = -j + 3*p. Put 5, j, -5 in decreasing order.\nAnswer: 5, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oftftoyfyuotouo. What is prob of sequence ouy?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9, 123, 459, 1101, 2151, 3711, 5883?\n\"Answer: 17*b**3 + 13*b - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14\/3*c + 8\/3 - 1\/3*c**3 + 7\/3*c**2 = 0. What is c?\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13625213 and 11678754?\nAnswer: 81751278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(3*(sqrt(3) + sqrt(6)\/sqrt(2)))*-2.\nAnswer: -sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1530690 to the nearest ten thousand.\nAnswer: 1530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(6*14\/(-70))*((-8)\/10)\/(-2).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**2 - 173*h - 120*h + 114*h - 652*h to w + y*h + u*h**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 5:49 PM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -45. Suppose 0 = -3*n - 4*d - d + z, 4*n + 8 = 2*d. Let v(r) be the second derivative of -r**3\/6 + 4*r**2 + 4*r. What is v(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a + 9. Let l be w(-7). Suppose 5*b - 28 = 4*i, 0 = b + 3*i + l*i + 6. What is the remainder when 13 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (10 - (-9 + (5 - -9))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 6\/10 + 112238\/70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, u: 2, p: 1, v: 1}. What is prob of sequence pvu?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 148 = a, -b - 56 = 5*a - 0*a. Let r = b + 16. Let p = 35 + r. Does 10 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 474 and 45346.\nAnswer: 136038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2145, -4269, -6383, -8481, -10557?\n\"Answer: f**3 - f**2 - 2128*f - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 14 (b) 343386 (c) 4 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 227*s**2 + 689*s - 2. What is w(-3)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0361 rounded to three dps?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 - 11. Let q = 14 + -11. Suppose -z = -q*y - 8. Solve 0 = -y*s - 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (23\/(-7) - 0) + 3 + (-17991202)\/(-238).\nAnswer: 7, 10799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dllv when four letters picked without replacement from {l: 8, d: 1, v: 2, t: 1, p: 2, e: 3}.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*u + 20 = 36*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/14 and 17\/242?\nAnswer: 1694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 233632 and 5599328?\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(4 - (-72)\/(-16)). Solve 3*c + 2 = q for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g**4 + 0*g**4 + 4*g - 4*g**4 + (-4 + 1 + 2)*(-2*g**4 - 4*g + 4*g) in the form n*g + k*g**4 + c*g**2 + l*g**3 + h and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 157 - 90. Is v a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - -68 - -1) + -2. Suppose -3*z - 2*z = -q. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.13 to one dp.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -17*m**2 - 3*m + 77. Let q(f) = 74*f**2 + 13*f - 307. Determine -26*n(r) - 6*q(r).\nAnswer: -2*r**2 - 160","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 415 + -2023\/5. Find the common denominator of 9*(-3)\/(-10) + -2 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 472653954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6761 + 368.\nAnswer: 7129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 148, 0, 0.4 in ascending order.\nAnswer: 0, 0.4, 8, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31404373 and 229.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 924665?\nAnswer: 5, 7, 29, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -10448400 divided by -50\nAnswer: 208968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1677423.51 rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4392, -8785, -13176, -17565?\nAnswer: -21952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-3) - 5457\/(-153). Let r(x) = -2*x**3 + 73*x**2 - 68*x - 75. Is 11 a factor of r(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -779 - -1521\/2. Calculate the common denominator of 29\/16 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-25)\/100)\/(1\/(-32)). What is the hundreds digit of (30\/y)\/(61\/23668)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*a**2 - 151*a**3 + 149*a**3 - 67 + 5*a**2 to p*a**2 + q + i*a**3 + h*a and give q.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*w**2 + 27\/4*w**3 + 12*w + 0 - 3\/4*w**4 = 0. Calculate w.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (118 - 556 + 46 - 175)*(3*d + d**3 - 3*d) as a + f*d**3 + r*d**2 + i*d and give f.\nAnswer: -567","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + ((-2*sqrt(605) + sqrt(605))**2 - sqrt(5)) - (sqrt(5) + sqrt(80) + 0)) + -3*sqrt(15)\/(-2*sqrt(3)))*4.\nAnswer: -14*sqrt(5) + 2420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of g**4\/24 + 3*g**3\/2 - 12*g**2. Let f be s(-9). Suppose f = -5*r + 9*r - 84. 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: b\"What is the rth term of -19073, -152795, -515767, -1222613, -2387957?\n\"Answer: -19104*r**3 - r**2 + 9*r + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*z**4 - z**2 + 332154*z + 71178698.\nAnswer: 40*z**3 - 2*z + 332154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100\/66 - (-2)\/(-11).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (9 - 6)) + 3 + -39 + 48.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 0.70169101\nAnswer: -5.29830899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**3\/2 + 33*a**2 - 123*a\/2 + 30 = 0. What is a?\nAnswer: 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*i = -1074 - 1032 for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*v - 110*v + 88*v - 5278 - 662 for v.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 331504713 to the power of 1\/3, to the nearest integer?\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5275, -4981, -4687?\nAnswer: -4393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 134331 + -312?\nAnswer: 134014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 56931 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: Two letters picked without replacement from oacyoyycyoyc. What is prob of picking 1 o and 1 c?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of -l**6\/120 + 11*l**5\/60 - l**4\/3 + 2*l**3\/3 + 8*l**2. Is 24 a factor of n(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 3 - 13. Let x(n) be the first derivative of 2*n**2 + 8*n**u + 10*n**2 - 12. Let i(o) = 2*o**2. What is i(x(y))?\nAnswer: 3200*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 + 4*f**2 - 2*f**2)*(-208 + 497 - 109 - 2*f).\nAnswer: -4*f**3 + 360*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 9*w - 16. Let c be m(2). Suppose -4*r = 0, 11 = 3*k - c*r - 4. What is the smallest common multiple of 9 and k?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffyy when four letters picked without replacement from {f: 2, y: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 119 and 811359?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20b996 (base 12) in base 9?\nAnswer: 868606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4641 + 4625. Sort w, -3, 1, 27 in decreasing order.\nAnswer: 27, 1, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 20 = 0, i + 4 = -2*m - 20. Let d(c) = -c**3 - 31*c**2 + 91*c - 45. Let f be d(i). What is the highest common divisor of f and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2125581138?\nAnswer: 2, 3, 719, 164239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -359998*d**2 - 428625*d**2 - 628481*d**2.\nAnswer: -1417104*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31013133231 (base 4) to base 8.\nAnswer: -15073755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 96303729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -3 + -4 + 3 + -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 2 = 2*r. Let s(a) = a**2 - 1. Let w be s(-3). Let t be (-185)\/(-45) - ((-56)\/63 + 1). Solve t*g = w*g - r for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -994 - 54*n**3 - 83*n**3 + 400 with respect to n.\nAnswer: -411*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -1, 94156?\nAnswer: 94156","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -4*o**2 - 2*o**3 + o**2 + 0*o**3 - 4. Let a(t) = t**2 + 1. Let k be -1 - -2 - (6 + -4). Let l(g) = k*u(g) - 3*a(g). Differentiate l(f) wrt f.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4668235 and 2171?\nAnswer: 779595245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 32543042 (base 6) in base 10?\nAnswer: 977858","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 7*s + 32. Let j(k) = k**3 - k**2 - 3*k + 5. Does 5 divide j(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from daqvvxxwd. What is prob of sequence aw?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2. Let y(u) = 13*u**2 + 6*u - 30. Let g(d) = -39*d**2 - 17*d + 89. Let p(q) = -6*g(q) - 17*y(q). What is p(c(v))?\nAnswer: 52*v**4 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 340 = 13*t - 193. Suppose 29 = -4*m + 4*s + t, 2*m + 24 = -4*s. Let i = 0.95 - 1. Which is the second smallest value? (a) m (b) 0.1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(-66)*(-1 + 4)*2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*j - 3*q - 196, 6 = 3*q. Let r = -6 - j. Calculate the remainder when r is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16378704983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -22 - 8*w**2 + 36*w**2 + 20. Let v be i(2). Calculate the highest common divisor of v and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 0 + 12 = 5*c, -3*y = 5*c - 8. Let w = -2 - 8. Let l = w + 15. Solve 0 = -p - l*r + 9, -r + 3*r - 18 = -c*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + -1*sqrt(847)*-3)**2 + -3 + (-2*sqrt(847) - sqrt(847) - sqrt(847)).\nAnswer: -44*sqrt(7) + 13549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one quarter of a millisecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -14 + 5. Let x be -2 + 2*15 - 0\/m. Calculate the lowest common multiple of 12 and ((-3)\/6)\/(-1 + x\/32).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 264663211?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r**2. Suppose -85 = -5*b + 4*q, b = -b - 2*q + 16. Let f = -11 + b. Let a(t) = t**f - 1 - 2 + 3. Determine z(a(p)).\nAnswer: -3*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(11) - -1*sqrt(11)) - (-1 + sqrt(11) + sqrt(22)\/sqrt(2))**2.\nAnswer: -47 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -y**4\/12 - y**3\/6 - 7*y**2. Let n be u(-3). Let o = 1 + 0. Solve 0 = 2*z - n - o for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of x**3 + x**2 - 79*x wrt x?\nAnswer: 6*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = 6*p - 2*p. Suppose -3*i = 5 + 10, -r + 3*i - 17 = 0. Is p != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -w**2\/2 + 6*w - 38. What is z(10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 324*a**2*n**2 + a**2*n - 182*n wrt n?\nAnswer: 648*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/4606013 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -b**6\/120 + 7*b**5\/60 - b**4\/24 - b**3\/6 - 4*b**2. Suppose -3*w - 4*m + 29 = 0, -36 = -4*w - 2*m - 2*m. Give p(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -303\/2 + 152. Which is the third biggest value? (a) 0.4 (b) j (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8312 - -25769. List the prime factors of r.\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + l - 3. Let a be w(3). Solve 0 = 5*u - 3*s - 25, -2*s - a = -u + 3*s for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**5\/5 + 127*m**4 + 31248*m**3\/5 - 442692*m**2\/5 + 279072*m = 0 for m.\nAnswer: -57, 0, 6, 680","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 160807*u**2 + 2 - 1 - 161948*u**2.\nAnswer: -1141*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**4 - 2*z**4 + 3*z**4 + (169 - 4*z - 169)*(-3*z + 7 - 7)*(z**2 - 2*z**2 - z**2 - 3*z).\nAnswer: -26*z**4 - 36*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -4, 3871, 4, 3 in decreasing order.\nAnswer: 3871, 4, 3, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*w - 13473 = 0, 0*w - 26931 = -4*j - 3*w. Is 16 a factor of (2\/(-4))\/(j\/1346 - 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1232 a factor of 22183392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of 0*v**4 + 0*v**2 + 154*v + 1\/84*v**7 + 0*v**3 - 1\/10*v**5 + 0 - 1\/20*v**6. Factor q(d).\nAnswer: d**3*(d - 4)*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/5)\/((-6)\/48 + 34\/80)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -614*v - 4*f = -616*v, 2 = -2*v + 2*f for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5*(-2)\/(-50))\/(21\/140). Suppose -5 + 2 = -w. Suppose -18 + 34\/3*o**w + 30*o**2 + l*o**4 + 18*o = 0. What is o?\nAnswer: -3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + 77 + 0 + -47 + 35 + (0 - -1)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*h - 4*h + 0*h)*(-h**2 + 1424*h + 605*h + 372*h) as x*h + y + c*h**2 + v*h**3 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*g**3 - 5*g**3 + 2 - 11*g**3 - 6*g + (-g**2 - g**2 + 3*g**2)*(-28 + 4*g + 28) to i*g**2 + y*g**3 + t*g + f and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.29 + 0.11. Let c = -0.7 + -1.7. Let b = c + 0.4. Is k bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence czcc when four letters picked without replacement from {c: 16, z: 4}?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*j = 24*j + 6. Let w(f) be the first derivative of -1 + 1\/2*f**2 - 1\/2*f**4 + 0*f - 2\/3*f**j. Give w(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + 2\/(4\/(-30120010)). What is h rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 8:11 AM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 156616540?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 51, 1.\nAnswer: -1, 1, 5, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o. Let h(t) = -48*t. Let b(r) = -2*h(r) + 108*n(r). Let g(d) = -44*d**3. Let c be g(-2). Let m(u) = -352 + 2*u + c. Calculate b(m(j)).\nAnswer: -24*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 4*b - 16 = 0, -5*c - 4*b + 16 + 8 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 90 + -87. Find the third derivative of -4*l**2 + 495*l - l**2 - 34*l**c - 6*l**2 - 490*l wrt l.\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 2, 3*c - 6 = c + s. Let q be 12\/((-2)\/(-4)*c). Let u = q - 10. Solve -2*g - u*g + 4 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.5 + 6.5. Which is the nearest to 1.7? (a) 0.2 (b) 0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 22684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 6 = 3*n, -9*k - 2 = -n + 2*n. Solve 5*a + 32 = -3*s, 4*s + 8 = 2*a - k*a for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**3 + 2*f - 2*f + 1 + (-f + f - f)*(-7*f**2 + 8*f**2 + 9*f**2).\nAnswer: -9*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42414 (base 5) to base 12.\nAnswer: -17a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 + 1 + 2 + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 342214 - -1?\nAnswer: 342215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2545, -5091, -7637, -10183?\nAnswer: -12729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**3 + 116*d**2 + 123*d - 311. What is z(59)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**3 - 5*m - 3*m**2 + 87 + m**3 + 92 - 186 + 2*m**3. What is o(4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*o + 3*z, o - 3632 = 4*z - 3590. Solve -2\/3*p + 0 + 2\/3*p**o = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 20*q**2 - 100*q + 4. Let d be w(5). Let j be (4 - 4) + 1*4. Suppose 108 = 4*z - d*o - 52, -153 = -j*z - 3*o. List the prime factors of z.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -8*k + 4. Let s be y(3). Let b be ((-966)\/(-28))\/23*4. Let g be 48\/s*(-20)\/b. Is g greater than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1349 + -1345 - (1 + (-2 - 1)) - 16 - -18.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from eeeoeeeoooeeo.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -18 - 10) + -12\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/2)\/((-2)\/(-160)). Suppose -d - 102 = -6*r. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -1, -0.3, -118, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3144878*a = -3144921*a - 4386 for a.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 124547\/14 + -8904. Find the common denominator of -109\/22 and o.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -11*q + 283. Let w(y) = -4*y + 95. What is 3*b(m) - 8*w(m)?\nAnswer: -m + 89","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -243*r**4 - 4818*r**3 - 236*r**2 - 519595136*r.\nAnswer: -2916*r**2 - 28908*r - 472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -1 + -2 + 6. Suppose 0 = v - n*v - 3. Sort v, -4, 4 in descending order.\nAnswer: 4, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189186*h + 189264*h - 378450*h + 89*h**3.\nAnswer: 89*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/9 - (-1 + 316\/(-36)). Does 6 divide -60*((-4)\/i)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*b - 15. Calculate the remainder when 15 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 163*n**3 + 7*n**2 + 21*n - 34658. Let k(g) = -380*g**3 - 16*g**2 - 48*g + 80869. Let m(c) = 7*k(c) + 16*x(c). Differentiate m(h) wrt h.\nAnswer: -156*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 - 15670*t + 831600.\nAnswer: 5*(t - 3080)*(t - 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -11*s**2. Let c be y(-1). Suppose -x - 5 = -23. Let l = x + c. What is the smallest common multiple of 7 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-81*p**4 - 89*p**4 + 18*p**4)*(0 - 3*p + 0 - 4*p + 18*p) + 16*p - 16*p - 4*p**5.\nAnswer: -1676*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*t - 4*w, w = 5*t - 3*w + 5. Suppose 3 = 4*o - a, 3*o - 2*a + 2 = -o. Let i be -1 + (o - 1) - -18. Solve t = 3*h + i for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -439 divided by 189\nAnswer: -439\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*w + 136206 = 12*w + 34*w. Is w a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_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: Let w = 135 + -49. Let p = -82 + w. Suppose -p*n - 2*g + 0*g = -522, n - 3*g - 127 = 0. Is 26 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -2*h - z, -38 - 32 = -4*h + 2*z. What is the remainder when 63 is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-45) - (22 - 6234\/270).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 269536?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 33*o - 196. Determine c(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001023983 to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5737, -11619, -17527, -23461, -29421, -35407?\nAnswer: -41419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z**4 + 42*z**2 - 3*z**3 + 3*z + 2*z**3 - 1 - 44*z**2 as n*z + a*z**4 + m + x*z**2 + v*z**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(1078\/4 + 1). Let y = k + -2984\/11. Find the common denominator of y and -1\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.114289*141.\nAnswer: -157.114749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -178653970, -357307941, -535961912, -714615883, -893269854, -1071923825?\n\"Answer: -178653971*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3608 = r - 1253. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f + 5*w - 30, 12 = 4*f + 6*w - w for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 235.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -n + 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 + 3*f**2 - 2*f**2 + 2*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*p - 91726 + 272396. Calculate the remainder when p is divided by 201.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 10*v**3 + 17*v - 9. Let i(u) = 10*u**3 + 19*u - 9. Let r(g) = -5*i(g) + 6*y(g). Let h(x) = -5*x**3 - 4*x + 5. Calculate 7*h(z) + 4*r(z).\nAnswer: 5*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25740947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5071, 20074, 45009, 79870, 124651, 179346, 243949, 318454?\nAnswer: 402855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -750*l + 110. Let g(t) = -14*t + 2. Determine -60*g(c) + y(c).\nAnswer: 90*c - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + b. Let v(r) be the third derivative of r**4\/8 + 4*r**2. Determine 3*n(z) - v(z).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 12, 3*j + 3*i - 3 = j. Let q be 2\/j - 2\/(-3). Solve 8 + q = -2*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44 - 44) + 1 + 1 + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9846 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t = -v - 5*t + 11, -4*t = 5*v + 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 709306 divided by -5?\nAnswer: -709306\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4b52 (base 14) to base 12\nAnswer: 7784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 92 and 1756.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -0*r + 5*r + 2*z, 39 = 4*r - 3*z. Let t = -0.0042 - 142.4958. Let f = t + 142. Which is the closest to 2\/7? (a) f (b) r (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1122 (base 5) in base 8?\nAnswer: -242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(96)*-1 + sqrt(96))\/((sqrt(14)*-3)\/sqrt(7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10373.\nAnswer: 11, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94620194946360 + 3.\nAnswer: 94620194946363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 7:41 AM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -36.9, -2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 288 + 104824*w**3 - 288.\nAnswer: 104824*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.8, 6\/7, -2\/11, -0.233?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) -3\/7 (c) 24 (d) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 11*v**4\/4 + v - 2. Let t be s(1). What is the units digit of ((-6)\/(-4))\/(t\/32)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -9\/17 (c) -1\/4 (d) -174\/5 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2 + 66*s + 2. Let o be p(33). Find the second derivative of 8 - 2 - 240*d**2 + 16 + 2 + 80*d**o + 2*d wrt d.\nAnswer: -320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -290\/93, 0.1, 9, -1, 0.2, 4 in decreasing order.\nAnswer: 9, 4, 0.2, 0.1, -1, -290\/93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 50356611247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 35*j**3 + 697*j**2 - 73*j - 220. What is v(-20)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 24 = 2*w - 75, -4*p - 357 = 5*w. Let z = -59 - p. Let k = 63615 + -63613. Calculate the greatest common divisor of z and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -83*j**4 + 2*j**2 + 4*j - 340. Find the second derivative of f(i) wrt i.\nAnswer: -1992*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 3\/4, 0.16, 6\/23, 1\/16, -7?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 481*c**3 - 481*c**3 + 29*c**5 - 4*c - 5*c**5 + 4*c + (0*c**2 + 0*c**2 + 2*c**4)*(1 - 1 + c).\nAnswer: 26*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 54*r**2 - 1578*r - 86430. What is p(-53)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18361 and 92082977.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*g - 26*g - 3*z + 154, 470 = 3*g + 5*z. Which is smaller: g or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25016 is divided by 93.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -36, -68, -100, -132, -164, -196?\n\"Answer: -32*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 8*z**2 - 16)*(-1 - 3*z + 3*z - z**3).\nAnswer: 8*z**5 + 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l + 41 = 69 + 68. Solve 18 = -5*d - 2*c, 18 = -11*d + l*d - 3*c for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8968961 and 0.4?\nAnswer: 3587584.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-150)*(-1150)\/(-115)*(-9)\/(-60).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34.5 - -34.3. Which is the nearest to f? (a) -1 (b) 1 (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 445685*x - 222794*x - 222889*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2786199 + -3?\nAnswer: 2786196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5*g**2 + 1. Let v(f) = -22*f**2 + 17*f + 40. Let d(h) = -4*c(h) - v(h). Differentiate d(k) with respect to k.\nAnswer: 4*k - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -899*f**3 - 748*f**2 - 5*f - 5. Let m(w) = -2698*w**3 - 2244*w**2 - 16*w - 16. Let t(v) = 16*l(v) - 5*m(v). Find the third derivative of t(i) wrt i.\nAnswer: -5364","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 237*v + 16772. Determine r(56).\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/28 + 15\/4. Let v = 33 + -18. Let r = -20 + v. Which is the third biggest value? (a) x (b) 0 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1103*d - 5*o = -1099*d - 29, -3*o + 15 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/46*(-616)\/3850*5.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15058 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: Calculate the remainder when 142 is divided by 40.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a + 4. Let d be n(4). Let c = 3 + -3. Suppose 5*f + 3*m - 1172 = c, -m - 1 = -d*m. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) + (2*(sqrt(1377) + 0 + sqrt(1377)) - sqrt(1377)) + 2)*-6 + (sqrt(1377)*1*-2 - sqrt(1377)*-2*-4) + 5)**2.\nAnswer: 4284*sqrt(17) + 1591861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -74 - -77. Let c be 0\/(i + 1 - 2). Solve -4*m + c*m + 4 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6, v: 5, s: 4}. What is prob of picking 3 v and 1 s?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -6765*t + 338216. Calculate h(50).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6764 + -654. Is 76 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9029755.\nAnswer: 5, 7, 257993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76481, -76589, -76887, -77471, -78437, -79881?\nAnswer: -81899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21780 + 1.02.\nAnswer: 21781.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2055\/4, -1, 0.2 in descending order.\nAnswer: 2055\/4, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 3, -15\/4, 4, 0?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52 - -107. Let g = -55.0000148 + u. What is g rounded to 6 decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11383990 is divided by 51?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 157872 and 779746.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -2*v + 5*v - 3*c, -58 = -4*v - 3*c. Let n = v + -8. Suppose 0 = -n*u + u + 316. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6802 divided by 4?\nAnswer: -3401\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (9 + -19 - -16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.9 + 0.1. Let u be 4\/(-10) + 1096\/40. Suppose 5*h = 3*q + 15, -4*q - 3*h - u + 7 = 0. Which is the second smallest value? (a) y (b) 7 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -178486.8654 rounded to the nearest one thousand?\nAnswer: -178000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 9:55 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 137*i - 139*i - 8. Let d(b) = 14*b**3 + 3*b**2 + 4. Let h(s) = -14*s**3 - 4*s**2 - 5. Calculate i*h(n) - 5*d(n).\nAnswer: -14*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24 + 9 + 16 + 8*k - 2*k - 4*k + 4*k + (1 + 2 - 2)*(0*k - 5*k + 3*k) + (23 + 56 + 57)*(3*k + 3*k - 4*k).\nAnswer: 276*k + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 - 2*a**2 + a**2)*(-2*a + 3*a + 0*a) + 27*a**3 - 90*a**3 - 3*a + 30*a**3.\nAnswer: -32*a**3 - 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7880073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.1 - 2.1. Let a = 1 + q. What is the third biggest value in a, -3, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23032 - -300?\nAnswer: 23332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/11 (b) -5 (c) -0.04 (d) -128 (e) 30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36641\/292936 + -3\/36617. Determine i, given that -3\/8*i**3 + 0 + p*i**4 + 0*i + 0*i**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 123189.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42498201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 plus -2.24?\nAnswer: 12.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32 - (2 + -2 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, 0, 5, -104, 3 in increasing order.\nAnswer: -104, -30, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117638325 is divided by 3436?\nAnswer: 3429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -118 + 163. Let v = -45 + f. Solve v*w - 4 = w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (575\/(-299))\/((-3)\/1308). Let n = r + -838. Solve 0 - n*v - 2\/13*v**3 + 8\/13*v**2 = 0 for v.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**4 - 594243*v**3 + 29435082561*v**2 - 794314085049*v = 0. What is v?\nAnswer: 0, 27, 99027","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -3041.98362 to the nearest ten.\nAnswer: -3040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*f = 41 + 10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*b**4 - 12*b**4 + 9*b**2 + 30*b**4 wrt b?\nAnswer: 120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 351853830431\/100960479620 - 2\/65558753. Let s = d - -5\/77. Calculate the common denominator of s and 101\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 151*a**3*v**3 + a**3*v - a**2*v**3 + 59*a**2*v**2 wrt a.\nAnswer: 906*v**3 + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of h**8\/1120 - h**7\/240 + h**6\/144 - h**5\/240 + h**3 + 1. Let p(n) be the third derivative of x(n). Factor p(z).\nAnswer: z*(z - 1)**2*(3*z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/25)\/n*n**(1\/3))\/(n**0)**(1\/24))**24 assuming n is positive.\nAnswer: n**(-448\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixth of a minute?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 1376.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 j when two letters picked without replacement from jfjjjbjjjbjcfccjjjc.\nAnswer: 44\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -11*p**2 - 892*p + 385. Determine b(-88).\nAnswer: -6303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 52 = 11*i, -4*l + 4*i - 57 = -49 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3938453329 - -27419252934. Let d = w + -31357706568.99999821. Let i = d - -306. What is i rounded to 7 decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 995a (base 11) in base 3?\nAnswer: 200000102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -7*x**2 + 2. Let g be r(0). Let y = 9 - 9. Suppose 3*f - 7 = l - 2*l, -2*l - 5*f + 12 = y. Solve g*v - l = 7 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p**2 - 7*p + 8. Let x be l(4). Let t = x - -85. Put -5, 2, t, -3 in descending order.\nAnswer: 2, t, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 26*l**2 - 5*l + 12. Let o be y(4). Let d be (-6)\/(-39) + o\/52 + 0. Solve d*x - 60 + 20 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 4*f = 2*h + 2, 4*h - f - 7 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 33*c + 64. Let g be k(-35). Let n be -4 + (2 - 2\/2). Sort n, g, 5 in descending order.\nAnswer: 5, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30081.500152 + 30082. Let g = -2.3 + 2.8. Let q = g - d. What is q rounded to 5 decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 47 or 523\/11?\nAnswer: 523\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1245? (a) 0.1 (b) 4 (c) -2\/13 (d) -0.027\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 609664013?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -j**3\/3 - 7*j**2\/2 - 4*j - 2. Let v be b(-6). What is the derivative of -1 - v*d + 0*d - 2*d wrt d?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -212*p + 648. Let s be w(3). Let m = 1134 - -3339. Suppose -s*o + 255 = -m. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 750 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -133 - 0?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -1 - 3*d + 0*d**2 + 4*d**2 + 3*d**2. Let q be s(1). Factor q - 3\/2*k**2 + 3\/2*k.\nAnswer: -3*(k - 2)*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 65*f + 47. Let o(b) = -780*b - 565. Let c(n) = -25*h(n) - 2*o(n). Let a(z) = -3*z - 2. Determine -45*a(s) + 2*c(s).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34.98 + 34.9807908. What is o rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dpbxdx. What is prob of sequence xbd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 31 + (591 - 631).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 36 - 31 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -221112103 (base 4) in base 11?\nAnswer: -106277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 5*p - 5 = 0, f - 166 + 168 = p for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d - 33 + 0 = 0. Let u(z) = 145*z**2 + 8*z + 13. Is u(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1535.\nAnswer: 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -5 (c) 101 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 14*r**2 - 21*r - 3. Let y(x) = 5*x**2 - 7*x - 1. Let o(s) = -6*h(s) + 17*y(s). What is the least common multiple of 7 and o(-8)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2)\/(((y\/(((y*y*y**(-2\/19)*y)\/y)\/y))\/y)\/y))**31*((y\/(y*y**1*y)*y)**18)**43 assuming y is positive.\nAnswer: y**(-14768\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -3603.4.\nAnswer: 14413.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b + 3*b**2 - 34*b**3 - 3*b**2 - b**2 + 104*b**3 + 37*b**3 to the form z*b + s*b**3 + m + l*b**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 5*p + 4. Let z be w(5). Find the common denominator of z\/6*-1*2 and (45 - (-4 + 2))\/((-24)\/8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144 and 270?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j + 12*j**3 + 3 - 27*j**3 + 7*j**3 to the form i*j**2 + a*j**3 + q + g*j and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -9. Let g = 4 - -1. Suppose z - 8 = 4*n + b, 0 = g*z + 3*n - 98. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/9 (b) -5 (c) -4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -35\/6*y**4 + 12*y + 0*y**2 + 4 - 197\/20*y**5 + 0*y**3. What is the third derivative of b(w) wrt w?\nAnswer: -1182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 82?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h**2. Let n(f) = 19*f + 9*f - 50*f - 30*f - 17*f. Give n(g(r)).\nAnswer: -276*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 48489298 to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 3:23 PM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 145185, 290361, 435537?\nAnswer: 580713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lhb when three letters picked without replacement from bzrbhblzzzlzblbwzhr?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of 0*n**2 - 323\/20*n**4 - 47*n - 21\/20*n**5 + 3 - 289\/10*n**3 - 1\/50*n**6. Determine t, given that r(t) = 0.\nAnswer: -17, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120\/36)\/(4\/(-6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*h + 66*h - 6 = 5*v, -1718 = -2*h + 1716*v for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 + 0)*(-9*m - m**2 + 9*m).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63765 and 6045.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2089*w**5 + w**2 + 6596*w?\nAnswer: -125340*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23.1 + -20.1. Suppose -5*t = -4*t + 3*g + 13, 10 = -2*t - 2*g. Which is smaller: q or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 711*r + 36. Let d(p) = 474*p + 24. Let g(q) = -8*d(q) + 5*x(q). Let c = -162 - -161. Does 45 divide g(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 5:37 PM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28 + 2 - (18 + -18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 12*i**2 + 10*i - 8. Let j be g(-11). Let l be 8 - (4 - j)*2. Solve 2*b = -r - r - l, -3*r - 5*b - 19 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/3 and 29\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -610 + 606. Which is the fourth smallest value? (a) -1 (b) 3 (c) 0.005 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8463450 and -20919.4.\nAnswer: 8442530.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(-7)\/s*s)\/s)\/(s\/(s\/(s\/(s*(s\/(s**(-15)*s))\/s)))))\/(s**(-7\/5)*s**(7\/6)))**20 assuming s is positive.\nAnswer: s**(374\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -2*t - 22, 4*t = -5*z - 0 - 24. Let a = 6 - 0. Let x = t + a. Calculate the highest common divisor of 35 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 49*y**2 + 3 + 35*y**2 + 12*y**2 + 32*y**2 + y. List the prime factors of z(-1).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b - 3. Let v = 100 + -84. Let q(h) = -10*h - 16. Let o be -1 + 2*-1*1. Determine o*q(g) + v*w(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 27.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 20551 + -b?\nAnswer: 20542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -200*i**2 + 8002*i - 127. Calculate y(40).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -105459.268.\nAnswer: -105454.268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 844451773.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -334*a - 4*c - 34 = -331*a, -6 = 3*a - 3*c for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*b - 2. Let 10\/3*h**b - 16\/3*h**3 + 0 + 4\/3*h + 2\/3*h**2 = 0. Calculate h.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**5 + 2*m**5 - 3*m**5 + (2*m + 2 - 2)*(0*m + m**4 + 7*m**4 - 2*m).\nAnswer: 18*m**5 - 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 - (13 - 9) - (5 + (7 - 14))?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 312 = -2*t + 3*q + 352, 0 = -4*t + q for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2448, 3191, 3924, 4641, 5336?\n\"Answer: -x**3 + x**2 + 747*x + 1701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 198 and 4329.\nAnswer: 95238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(416) - ((sqrt(416) - (sqrt(416) - (sqrt(416) + (sqrt(416)*-2 - sqrt(416))))) + sqrt(416)))*-3)\/(sqrt(162) + sqrt(162) + -3*sqrt(162)*-1).\nAnswer: -8*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x**(-7)*x)\/x))**(5\/18))**(-29) assuming x is positive.\nAnswer: x**(-580\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 5*c**3 - 10*c**2 + 11*c. Let g(w) = w**3 - w**2 + w. Calculate -2*d(t) + 22*g(t).\nAnswer: 12*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 103*s**2 + 90694 + s**3 - 90694 - 4*s**4 wrt s.\nAnswer: -96*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5672 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 558270748 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 559405 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**5 + 15454*k**4 - 29565958*k**3 - 1110158110*k**2 - 9740776512*k + 10880485128 = 0.\nAnswer: -19, 1, 3882","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v - 4. Let m be q(6). Let f = m + -6. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-4)\/6)\/(568\/81) and -13\/8?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 + 75 = -53*u - 52. Sort 0, 2, -16, u, 4.\nAnswer: -16, 0, u, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2268.02*-9.08.\nAnswer: -20593.6216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 732 and 1242204?\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011100010100 - 10010111001?\nAnswer: -1101111001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 11:10 AM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + n**2 - 1. Let s(o) = o + 19. Suppose 4*i - 64 = 4*p, 0 = -0*p - 3*p - i - 44. Let z be s(p). Let y be (z\/6)\/((-4)\/12). Determine m(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5 + 60\/(-8)*-10.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200)*1 + (-3*sqrt(14))\/sqrt(7))*-3 - (-3 + -1*(1 + sqrt(242))*-1))**2.\nAnswer: -128*sqrt(2) + 2052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -74.002 + 0.002. What is the third smallest value in 0, i, 1\/4, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43.3 - 61.2. What is i rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -302 and -0.5?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n**2 - n. Let k be x(1). Suppose 44 = 2*l + k*l. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-2)*((-2007)\/4)\/9. Let j = t - 55. Let q be (0 - 0) + -1 - 2. Which is the second biggest value? (a) 0.5 (b) j (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t + 28*t - 1698 = 0. Let k = 408 - t. What is the remainder when k is divided by 43?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -128 and -0.95734.\nAnswer: 122.53952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - 1. Let f be a\/8 + 52\/16. Suppose 0 = 3*j - 2*p - 25, -2*j - p + 14 = -f*p. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 3:18 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -72*y + 110*y + 114 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 4*c + 194. Let r = c - 194. Let l = 1443\/7 - 36159\/175. Which is greater: r or l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 6*n + 20. Determine f(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3010 = -284*c + 277*c. What is the remainder when c is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-80)\/24*(-6)\/4. Suppose 21 = z*p + 2*f, -4*p + 2*f + 29 = p. Solve 0 = v - 6*v + p for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298618.\nAnswer: 2, 149309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2071834 divided by 3\nAnswer: 2071834\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.046599 and 0.03.\nAnswer: 0.00139797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -16*u**2 - 6*u. Let q(f) = -5*f**2 - 2*f. Calculate 2*h(z) - 7*q(z).\nAnswer: 3*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6818063.\nAnswer: 7, 974009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 1\/3 (c) 12 (d) 5 (e) -434 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16926 + -184?\nAnswer: 16752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11\/12, 0.3, -0.1, -0.526, -16, -1?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.02, 1\/7, -2820, 0.1, -134?\nAnswer: -134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.598788 decades in centuries?\nAnswer: 0.3598788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 6, 3\/11, 0, -3, -9, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4355\/510)\/13 + 4\/6 - 25\/50.\nAnswer: 14\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -s**5\/120 + s**4\/6 + 5*s**3\/3 + s**2 - 49. Let w(r) be the third derivative of y(r). Determine w(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2 = 3*w, w - 4*w - 1 = -2*d. Is -2\/7 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -238, 6, -53, 0.4 in increasing order.\nAnswer: -238, -53, 0.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1218 - -1855. Calculate the highest common factor of t and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 12*h - 4. Let a(b) = 6*b - 2. Calculate 7*a(d) - 3*f(d).\nAnswer: 6*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.94245 millilitres to litres.\nAnswer: 0.00894245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -41*u + 2. Let o(v) = 2*v**2 - 59*v. Give l(o(b)).\nAnswer: -82*b**2 + 2419*b + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*r = 2*k - 4, 4*k - 8 = -5*r. Let m(z) = -5 - 3*z + r*z + 3 + z**2. What is m(-3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4693581?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3129 = -570. Suppose 10*h - q = 7*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from guguguuuugggguguug. Give prob of sequence ugg.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 469627306?\nAnswer: 2, 181, 1297313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/63)\/(68\/(-40)). Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 24*t + 157. Let s be a(-27). Let z = s - -496. Solve o - 3*g + 2 = 0, 2*g + 4 + 6 = -z*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-25*(-14)\/(-35))\/(-1)*(12 + -2). Calculate the greatest common divisor of 108 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8802 = -49*s + 52*s. What is the thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qgn when three letters picked without replacement from {g: 8, s: 2, n: 5, k: 2, q: 1}?\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/13 - 4470*b - 58108\/13.\nAnswer: -2*(b + 1)*(b + 29054)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 26 - 11 = 0. Suppose -r - 62 = -y*r + 3*a, r - 3*a = 11. Does 15 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -686*i**2. Let l(k) = 7*k - 4. Give l(g(h)).\nAnswer: -4802*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 5:12 PM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/5))**(-2\/35)\/((j**(1\/3)\/j*j)\/(j*j*j**(-1\/2))) assuming j is positive.\nAnswer: j**(1237\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6511 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1184134 divided by 2\nAnswer: 592067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23989920 a multiple of 1104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3659105 to the power of 1\/3, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*v - 2484 = -5*b, -5*b = 3*v - 1863. Suppose z - 34 = 2*t - v, t - 301 = -z. List the prime factors of t.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16242070291 - -378\nAnswer: 16242070669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-10)*(-25)\/330*6?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 21 = z, 2*z + 2*z - 317400 = 3*h - 317391 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 9971657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(2\/21))\/(w*w*w\/w**3)*(w*w**(2\/7))\/(w\/(w\/(w*w*w**1))) assuming w is positive.\nAnswer: w**(-17\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - -3) + (-1040)\/169. What is the closest to 0.44 in 0.5, 8\/3, z?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2417 + -1434. Find the first derivative of s*f**3 - 2*f - 1064*f**3 + 2*f - 38 wrt f.\nAnswer: -243*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(5)*4 + -3 + sqrt(2) + (sqrt(4)\/sqrt(2))**2)*-4.\nAnswer: -20*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of 149*i**6\/120 - i**5\/60 + i**4\/24 - 2*i**2. Let z be r(1). Find the second derivative of -z + 149 - 6*n**5 - 13*n wrt n.\nAnswer: -120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-110)*-11*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**11*u**(-1) assuming u is positive.\nAnswer: u**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*f = 876, -2*k - f + 573 = -0*k. Calculate the remainder when k is divided by 47.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) - (sqrt(104) + -2*sqrt(104)*-5 + sqrt(104)))\/sqrt(8) + sqrt(78)\/(-3*sqrt(24) + sqrt(6)).\nAnswer: -56*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fvyysszjjfszjy. What is prob of sequence jyv?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 + 1011?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 645271.6 millennia?\nAnswer: 64527160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.99 less than 11534109?\nAnswer: 11534108.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1555327 times -6\nAnswer: -9331962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1525485\/378 + (-4)\/14. Suppose 7*t - 16166 = 3*t + 5*y, -y = t - 4037. Let h = m - t. What is the common denominator of -7\/20 and h?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2574*q**2. Let y(m) = -7394*m + 2*m**2 + 14788*m - 7394*m. What is j(y(u))?\nAnswer: 10296*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 + 293*z + 6 + 1370*z + 58.\nAnswer: 1663*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/(sqrt(30)\/sqrt(6) - sqrt(5) - sqrt(5)))\/sqrt(7).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a + 78 + 1028 - 4*a.\nAnswer: -3*a + 1106","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.564864354 rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b - 10 + 10. Let m(z) = 1. Determine j(t) - 3*m(t).\nAnswer: t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v + 20. What is s(0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 51*p**2 - 1512*p + 17. Determine j(72).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 82176 in -7, 0.4, -3, 0, -5\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 46*d - 120. Determine f(-40).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2 = 3*z, -4*t + 7*t = -3*z - 6. Let c = 33 - 41. Let g = 7.7 + c. What is the nearest to -2\/3 in 2\/13, z, g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -89*c - 4202. Calculate l(-47).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -5*u**2 - 4*u - 3. Let d be r(-10). Let h = d + 1418. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -589, -2438, -5563, -9982, -15713?\nAnswer: -22774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**3 - 643*r**2 - 113336*r - 6073520 = 0. Calculate r.\nAnswer: -395, -124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -4435200 to the nearest one hundred thousand.\nAnswer: -4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 2*k - k)*(3 + 1 - 3) + (4*k + 6*k - 2*k)*(-1 + 2 + 1).\nAnswer: 18*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4*k = 127 - 323, 142 = -3*a + 4*k. What is the tens digit of (a\/4)\/(6\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -19*i**3 - 12*i - 27. Let h(x) = -9*x**3 - 5*x - 13. Let y(f) = 4*d(f) - 9*h(f). Let q(p) = -p**3 + p - 2. Give 9*q(u) + 2*y(u).\nAnswer: u**3 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -2\/3*q**3 + 0 + 1\/2*q**4 + 3*q + 0*q**5 - 1\/15*q**6 + 0*q**2. Find l such that g(l) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -14*j - 153. Let s(z) = -5*z**3 + 4*z**2 + 4*z - 7. Is s(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/15 - 4\/5. Let g = -405.2 - -448. Let k = 43 - g. What is the third biggest value in k, -3, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -4*v**2 - 3*v. Let q(k) be the second derivative of -k**4\/6 - k**3\/6 - 5*k. Give -2*j(c) + 5*q(c).\nAnswer: -2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (924\/168)\/((-2937)\/12)?\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - -2) + (4 - 2). Suppose v - 14 = 4*i, -39 = -4*v + r*i + 3. Calculate the highest common divisor of v and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (85*l**2 - 12*l**2 - 32*l**2 - 11*l**2)*(3 - 6 + 5) to the form r*l**2 + b*l + v and give r.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*h + 6*h - 5933. Let u(o) = -o**3 + o + 167. Let r be u(0). Let y = h - r. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p - 1. Let f(h) = -2485*h**2 + 6*h - 8. What is -f(c) + 8*v(c)?\nAnswer: 2485*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 0*h - 3*h + 5*h. Let t(k) be the third derivative of 0*k + 0*k**4 - 2*k**2 + 0*k**3 + 0 + 1\/30*k**5. Give t(r(b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -290*y - 249*y - 958*y.\nAnswer: -1497*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 = -1425*u + 1494*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*1*(-3)\/6. Which is the third smallest value? (a) -3 (b) s (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 96 + -90. Solve 4*j - 4 = -3*x + 8, -c = -x - 2*j for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 4*b**2 - 1. Let j be m(-4). Let a = 6 + j. Let n(d) = -d**3 - 4*d**2 - 3*d + 5. What is the remainder when n(-4) is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -43\/6, -2, -0.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -8 - (16 + -4 + (-51 - 15 - 21))\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 8*j = 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 474 and 8769?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 774 and 9504?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w + 3. Let v be p(-3). Let x = -2\/7 - -3\/7. Which is the second biggest value? (a) v (b) 2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 206022637.4 to the nearest one million.\nAnswer: 206000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28116?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/3 (b) 1\/4 (c) -0.5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8326503 take away 0.2067?\nAnswer: 8326502.7933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90724 and 148?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 8 - (-1 - -5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65.46, 19, 5, 0.4, -4 in decreasing order.\nAnswer: 65.46, 19, 5, 0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 - 76\/(-20))\/(4\/(-10)). Suppose 0 = i*y - 4*n + 16, 2*n = y - 5*y + 8. Solve 8*w - 11*w + 9 = y for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-450)\/(-495)*22\/(-28).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - d = 8. Let l be (-12)\/(-5) + d\/(-10). Suppose 3*h = l*h + 11. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 91, 4, -1 in descending order.\nAnswer: 91, 4, 0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 153 in 5, -45, 15.7, 4?\nAnswer: 15.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -12)*155\/(-15). Let h = -115 - g. Which is the biggest value? (a) h (b) 0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.741 rounded to 1 decimal place?\nAnswer: 35.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 173*k**4\/4 + 187*k**3\/3 + 308. Find the third derivative of s(o) wrt o.\nAnswer: 1038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71 + -71 - ((0 - -1) + -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*p + 1 + 10, 3*p - 8 = -4*s. Let k = 12 - 7. Suppose k*v = 3*v + 14. Calculate the remainder when v is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 896117559 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 4. Let x be j(0). Suppose r - 3*k - k = -22, x*k - 16 = 0. Is -1 bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*x - 17*x + d = -57, 2*d + 49 = 3*x for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*n + 6. Suppose -2*y - n*p + 8 = 2*y, -3*p = 5*y - 23. Find the second derivative of 4*m**4 + m - 2*m**4 - y*m**5 - 2*m**4 wrt m.\nAnswer: -140*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-192)\/(-56))\/(-7 + 1 + (-1305)\/(-210))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*(0 - 3\/(-6)). Sort -1, d, -0.1.\nAnswer: -1, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -97, -135, -179, -223, -261?\nAnswer: -287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-5 - (-9 - (1 + -12))) + (-3 - 32).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/96*-4)\/(14\/8)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -6*p**2 + 187*p - 1382. Determine z(9).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2\/13, -0.1, -4\/3, -5\/2 in descending order.\nAnswer: 2\/13, -0.1, -1, -4\/3, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1183 and 133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -44578, -89155, -133732, -178309, -222886, -267463?\n\"Answer: -44577*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 5)*(-5*o + 2*o - 4*o)*(-2 + 0 + 5).\nAnswer: -42*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2 - 278419*n**2 - 5*n - 11 + 1 + 278426*n**2 + n**3. What is y(-8)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12207 or 134268\/11?\nAnswer: 12207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rna when three letters picked without replacement from {n: 1, x: 2, a: 2, r: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 88\/(-180) - 3\/(-5). Let l = 0.1 + 0. Sort d, l, 2 in increasing order.\nAnswer: l, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 78 - 60. Suppose f + 24 = 6*d. Is 2160 + (d\/(-21))\/(1\/(-3)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -69, -142, -221, -306, -397, -494?\n\"Answer: -3*n**2 - 64*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**3 + 3*y**3 + 4*y**3.\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 divided by 8?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**(-2\/5)*b*b)**(-5\/18))**(-17\/5) assuming b is positive.\nAnswer: b**(17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1*sqrt(102) + sqrt(102) - sqrt(102))\/sqrt(6).\nAnswer: -5 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-1*(-13)\/(-2340)) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4792.616 millilitres in litres?\nAnswer: 4.792616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/2)\/((-3)\/6). Let t(i) = -3*i + 50. Let o(f) = -4*f + 58. Let b(v) = -6*o(v) + 7*t(v). Let m(h) = 4*h + 2. Give g*b(n) + 4*m(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -54*-5*(-6)\/(-18). Find the common denominator of r\/80 - (-6)\/10 and 35\/32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 0.187.\nAnswer: 0.561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22677.\nAnswer: 3, 7559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.641 + -3.641. Which is the nearest to 4? (a) 1\/2 (b) z (c) -0.2 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 4:11 PM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 7*p - 7. Let g be r(-4). Suppose 2 + 1 = n. Let q be -2*((-7)\/2 + 2). Solve -o - i = -3*o + q, 4*o - g*i - n = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.03 + 8. Let z = n - -0.029965. What is z rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.7 or -46207812?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -248710 by -38.\nAnswer: 6545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(208)*1 + -4 + sqrt(26)\/sqrt(2))*1)**2.\nAnswer: -2046 + 240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhscjshjchj. What is prob of picking 1 s, 1 c, and 2 h?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340665 is divided by 55?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 231*a**3 + 12*a + 8. Let v(x) = x**3 + x**2 + 4*x + 2. Determine j(d) - 3*v(d).\nAnswer: 228*d**3 - 3*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 130*k**4 + 5*k**3 + 69*k**2. Let x(z) = 129*z**4 + 4*z**3 + 70*z**2. Let i(u) = 4*l(u) - 5*x(u). Find the third derivative of i(j) wrt j.\nAnswer: -3000*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/(-27) + (-499108685055)\/18190602. Let t = -6\/336863 - z. Let n = t + -27446. Calculate the common denominator of n and -61\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 5*p - 6*r + 3*r, 318869*r - 3 = -7*p + 318874*r for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m + 40090 = 21*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 16 + 4*h)*(3*h**2 + 0*h + h + h + 2) - h**3 + 0*h**3 - 2*h**3.\nAnswer: 9*h**3 + 8*h**2 + 8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o - 4*d + 1665 - 1633, -4*o + d = -19 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 57 = -3*b, -4*b = -103*i + 106*i - 41 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of q**5\/20 + q**4\/3 + q**3\/2 + 2*q**2 - 3*q. Let k = 5 - 8. List the prime factors of s(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 234 and 342.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 9) in base 16?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23034805 to the power of 1\/3, to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z + 2*z + z + 11 + 11 = -4*h + 8, 0 = -7*h - 3*z - 11 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -375, -773, -1181, -1605, -2051?\nAnswer: -2525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -266\/3 - -88. Let d = p - -4\/15. Let u = 0.36 + 0.14. Which is the smallest value? (a) 5 (b) d (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 68 - 5. List the prime factors of j.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -51 or -86?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 2. Suppose -5*n - 45 = k, 4 = -2*n + 3*k - 14. Let z be (n\/6)\/((-1)\/2). Solve 0*f - 5 = -p*g - 5*f, 2*g = z*f + 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -fecdc + 67?\nAnswer: -fec75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -800 + -26759209 - (0\/1 + -9). Round d to the nearest 100000.\nAnswer: -26800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 361 + -489 + -7 + (14 - (-9 - -5))?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3362)\/(-320) + 7077\/(-1132320)?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 5351263?\nAnswer: -5351266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -i + 2*v, 11887*v = -i + 11888*v + 1 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2480094549?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 2*p**2 - 4*p - 3. Let x be h(-3). Suppose -f + 2*k + 104 = -187, x = 5*f - 5*k - 1460. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4 = -2*o. Suppose -16 = -7*p + 3*p. Suppose 7 = -3*u + 1. Sort p, u, o in increasing order.\nAnswer: u, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 14*p**2 - 23*p + 16. Let m be f(-12). Let u be (-2)\/m*(-73 - -23). What is the highest common divisor of 275 and u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 702205677?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**3 + 4*q**2 - 2*q - 2. Suppose 2 = -w + 4. Let i be (w\/(-1))\/(2\/(-2)). Determine y(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 564 is divided by 45.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1750467875.\nAnswer: 5, 13, 757, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**3 - 2*g**2 - 2*g + 1. Suppose 3*k - 2*h - 6 = -5*h, 3*k - 2*h = 21. Let r = k - 8. Let u = 5 + r. What is b(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - -5 - (-3 + -7 + -26 + 44) - -20?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifteen sixteenths of a century?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + 5404286718?\nAnswer: 5404286717.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.703 - 1.692. Let r = -0.094 + q. What is r rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6706709 meters in centimeters?\nAnswer: 67.06709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 17*g + 2. What is the units digit of d(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 405995473.\nAnswer: 13, 31230421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 1 + (7 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.907 - 0.093. Which is the nearest to -0.1? (a) -4 (b) -1.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a minute in milliseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 5*y + 11. Let n be r(4). Suppose -4 = -o + t - 5, -t + n = o. Solve 6*a = 5*h + o*a + 7, -5*h + 4*a = 11 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 10*a**2 - 9*a + 12. Let d be y(9). Let z = 40 + -38. Solve u + z*u - d = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 84 = 2*h, 5*h + 3*q = 126072 - 126194 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23951865559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 199\/31020 and 25\/11374?\nAnswer: 341220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d**2 + 5*d - 2. Calculate m(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17416715, -34833449, -52250183, -69666917?\nAnswer: -87083651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008701 to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/282 and 1*2*(47\/141 - (-40)\/45).\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 73, 28, -2 in increasing order.\nAnswer: -2, 28, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - m - 3 = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 10:43 AM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-28)*1338\/(-669)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 170715825 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**5 - 3*d**5 + 10*d**5 + (2*d**2 - 4*d + 4*d)*(2*d - 2*d + d**3) - 3*d**5 + 7*d**5 + 0*d**5 + (0*d + 0*d - 2*d**2)*(-d**2 + d**2 - 2*d**3).\nAnswer: 17*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 8 + -8 - (-2 - -2 - 4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a decade in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 + 10 + 4*t + 15 - 3*t + 49 to the form r + i*t and give r.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.2 - 8. Suppose 5*x - 201 = -2*r, 0*r - 462 = -5*r + x. Let p = 467\/5 - r. What is the nearest to p in -4, g, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 16327 and 5.\nAnswer: 16332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.59831245 to one decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 119*u**2. Let j(h) be the second derivative of -h**5\/20 - 59*h**4\/12 - 2004*h. What is 5*j(k) - 3*y(k)?\nAnswer: -2*k**3 + 62*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*d**2 - 2*d**2 - 2*d**2 + (-2*d + 3*d - 2*d)*(5*d + d - d + (4*d - 4*d + 2*d)*(-4 + 2 + 1)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 401 is divided by 67?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3599031726 to the nearest integer?\nAnswer: 1532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 6 = 5*t. Let i be 3*3\/18*t. Which is greater: 1\/79 or i?\nAnswer: 1\/79","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -395 + 0.08.\nAnswer: -394.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 313.662 - 308.7. Let d = -0.062 + a. What is d rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c + 9. Let q be s(-5). Suppose -2*z = 2*l - q, -2*l - 5 = -4*l + z. Let r(t) = -6*t + 1. Let w(h) = h. Let x(i) = -6*r(i) - 33*w(i). What is x(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1021845 divided by 33\nAnswer: -30965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 0.5 (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259 = 193*u + 66*u. Let s(w) = 6*w - 2. Let x(l) = 0*l + 5*l - 4*l. Give u*s(o) - 5*x(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-8))\/(15\/1459020) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2 + 60*q + 27. What are the prime factors of p(-51)?\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 434, 0 in descending order.\nAnswer: 434, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-9)*633\/1055\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 1 = 3*t. Let s = 7 - -12. Let c = s - t. Solve -4*m - 4*y - 3 + 19 = 0, 0 = 3*m + 5*y - c for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11132311113 (base 4) to base 16\nAnswer: 15ed57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/4)\/k*k)\/k*k*k**(-8)*k assuming k is positive.\nAnswer: k**(-29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 10562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -k**4\/16 + 7*k**2\/8 + 3*k\/2 - 14. Factor n(y).\nAnswer: -(y - 3)*(y + 1)*(y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 76*z**2 - 585*z - 11552. Determine s(-70).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10107210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 0.5, -2\/7, -3, 90?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/(-16) - 3\/(-12))*3\/24?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -33, -35, -37?\n\"Answer: -2*u - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 1b5c611?\nAnswer: 1b5c612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37157054?\nAnswer: 2, 11, 1051, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1228 and 2075627?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(1008) + sqrt(1008) + -1*(sqrt(1008) + -1*sqrt(1008)))**2 - (-5*-2*sqrt(1008) + sqrt(1008)))*3*1.\nAnswer: -792*sqrt(7) + 24192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 5:08 AM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 6*k**3 + 10*k**2 + 9*k + 5. Let r(i) = -i**3 - i**2 + i + 1. Let p(n) = m(n) + 7*r(n). Factor p(d).\nAnswer: -(d - 6)*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 4*y + 40 = 0, 0 = -y + 592 - 604 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5981986*z + 983681*z - 1606203*z.\nAnswer: 5359464*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.11989961 rounded to 1 dp?\nAnswer: -39.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000046 rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 24.961 and 3.\nAnswer: 74.883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 divided by -164?\nAnswer: 7\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**0*v)\/((v*v*v**(-3\/10))\/v)*(v*v**(1\/3)\/v)**(18\/5))**(-50) assuming v is positive.\nAnswer: v**(-125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44480 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -37633 (base 8) in base 7?\nAnswer: -65321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qp when two letters picked without replacement from jqqqgjppyoyppjq.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 9:21 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 6*a - 10 = -4*a, 5*a = -z - 8. Suppose -h + z*h + 71 = 0. Let j = -571\/8 - h. Put 3, 4, j in descending order.\nAnswer: 4, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28632 divided by -7158.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**2. Let q(g) = 39777*g. Calculate q(n(y)).\nAnswer: 79554*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.576 - 20520?\nAnswer: -20519.424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 2. Let l = 9.922 + -10. Let m = 0.478 + l. Sort m, s, 4\/9 in descending order.\nAnswer: 4\/9, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 61 + 2\/2 + -2. Let d(n) = -n**3 - 23*n**2 + 26*n + 19. Let a be d(-24). Let w = a - -41. Calculate the highest common factor of f and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 4 = -4*t - 3, 3*t + 5*d + 8 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 4*q + 5324, 0 = 4*q + 4 - 0. Suppose -15 = -3*u, -5*x + x = -2*u + s. Does 38 divide (-17)\/(85\/x) - 1*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from snpjesl. Give prob of sequence ns.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/2? (a) 0.1 (b) 1\/2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-1*(0 + sqrt(13) + 1 + 2).\nAnswer: 9 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 2*z - 27*h - 25*h + 63 = -49*h, -75*z = h - 1797 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a**3 - 2*a**3 + a**3)*(0*a + 0*a - 2*a) - 92*a + 143*a - 2*a**2 - 2*a**4 + 302*a to c*a**4 + z*a**2 + f + i*a**3 + n*a and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 3) + (0 - (-3 - -10))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 4:03 PM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -121, 8, -5.\nAnswer: -121, -5, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2 + c - 2. Let f be ((-27)\/(-6))\/(6\/8). Suppose -4*w + 4*s = 0, w = f*w + 4*s - 18. Determine j(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2768333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + z + 4128 = 4112, -9*v + 13*v - 17 = 4*z + 7 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/18 and -37\/1718040?\nAnswer: 5154120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o**(-2\/15)*o*o))\/(o*o\/(o*o*o**(1\/4)*o*o)))\/(o**(-2\/5))**(-18\/11) assuming o is positive.\nAnswer: o**(1141\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -22*w**3 + 2*w**2 - w - 1. Let i be k(1). Round i to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 82202\/47, -1, -0.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 432 + 145 = -61*b + 89 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 18 = 9, -2*v = -2*x - 1632. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-4*4*((sqrt(700) + 1 + sqrt(700) + sqrt(700) + -2)**2 + (sqrt(700) - (sqrt(700) + -1 + -5))**2 + sqrt(700)).\nAnswer: -506960 + 4000*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 210\/11, 2\/11, -1\/217, -0.2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 6*d + 2. Give a(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -4*x + 8, -4*x + 52*v - 48*v = -4. Suppose -15 = u - 4*u. Suppose 1 - 9*n**2 - u*n**2 + 7 + 6*n - n**x + 11*n**2 = 0. Calculate n.\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -7501?\nAnswer: 7503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*(30\/105 - 2185\/7770). What is the biggest value in d, -0.1, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*v + 4. Suppose 19 = -p + v*p. Is p a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 - 42 = -13*r. Let k = 14 + -22. Let s be 56\/k + (-3)\/(-1). Let o(y) = y**3 - 1. Let q(m) = 2*m**3 - 2. Calculate r*o(j) + s*q(j).\nAnswer: j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 58, -1, 5, 3, -5, 97 in decreasing order.\nAnswer: 97, 58, 5, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + (-5 - 56\/32 - -7). Factor -4*p + 1 + 17\/4*p**2 - g*p**3.\nAnswer: -(p - 2)*(p - 1)*(5*p - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1412 - -218859\/155. Suppose 4*i + 0*x + 20 = -5*x, -5*i + 5*x = -20. Is j at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((1 - 1) + -1)\/((-1)\/3). Solve f*a - 5 = -2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -801231 divided by 1959.\nAnswer: -409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9 + 1)\/(-1)*((-74)\/2)\/74. Put -3, 2, 1, 53, t in ascending order.\nAnswer: t, -3, 1, 2, 53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 128310\/2002 - (-1)\/(-11). Calculate the greatest common factor of y and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 2) + 4 - (1 + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 44*a**2 - 89*a + 139. Let l be z(-46). Let v = -0.08 + 0.38. What is the nearest to -1 in v, l, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 4*j + 48, 14 = -4*w + 4*j - 2. Let d = 51 + w. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((-1*-2*sqrt(275) + 5)*4)**2 + -1).\nAnswer: -35998 - 3200*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*b - b = 127, 0 = -k - 4*b + 136. What are the prime factors of k?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 52*p + 34. Let q(y) = -53*y - 34. Let m(z) = -6*q(z) - 5*s(z). Let t be m(17). Suppose t = 5*f - 12005. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111149?\nAnswer: 111149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 58 = 5*a - 67, -r = -4*a - 47. What are the prime factors of r?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 6 + 111 = 0. Let w = g + 36. Let x be w - 3\/((-9)\/12). Solve -v - 3 = x for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2. Let c(q) = -23*q**2 - 174*q. Give c(u(f)).\nAnswer: -23*f**4 - 174*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*u = 4*h - 18*u - 2, -u - 3 = -h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*o + 0 - 2*o**2 + 1\/2*o**3.\nAnswer: o*(o - 3)*(o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2404 (base 5) to base 16\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 9 - 7 - 5*j**2 - 1.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 5*c - 2, 4 = -2*p + 86*c - 88*c for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-5\/3)\/i*i)\/i**6 assuming i is positive.\nAnswer: i**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 37 - ((0 - -1) + 0). Suppose -s = 2*f - 3*f. List the prime factors of (-1)\/((-39)\/f - -1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10534 - 189667\/18. What is the common denominator of 62\/63 and r?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -24. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a kilogram in grams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 2, 77 in increasing order.\nAnswer: 2, 10, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2*p**2 + 2 + 6*p**2 - 3*p**2 - p**2 + (-9*p + 2*p + 2*p)*(-22*p + 16*p - 14*p).\nAnswer: 100*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4198726436 to the power of 1\/2, to the nearest integer?\nAnswer: 64798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9033.\nAnswer: 3, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = -0*l + 3*l - 3*n, -3*l - 3*n + 198 = 144 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 50*v - 880 = -55*v, -4*v + 446 = l. Does 53 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 21. Suppose n = -k + 3 + 21. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**3\/3 + 42084*q**2 + 5938358*q\/3 - 2021536 = 0.\nAnswer: -48, 1, 63173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 2*o**2 + 3*o - 16. Is a(-7) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.534 - -4.534. Is c equal to 1\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 258520 divided by -460\nAnswer: -562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 9*s + 176. Let g be a(-19). Solve 5 = 5*w - g*p - 0*p, -w - 2*p + 10 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -4*z**4 + 184*z**3 + 400*z**2 - 736*z - 1536 = 0?\nAnswer: -2, 2, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 91 - 2804?\nAnswer: -2723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffnjpffffph. What is prob of picking 1 f, 1 h, and 1 j?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Is 5773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -3. Suppose 0*x = 3*x - 9, 5*x = -b*j + 126. What are the prime factors of j?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 9 + 12 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2 = 5*j. Let s(l) = -4*l. Let w(z) = -5*z. Let i(n) = j*s(n) - 3*w(n). Calculate i(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55488419.\nAnswer: 7, 31, 37, 6911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 5555*z**3 - 3*z. Let l(c) = 11112*c**3 - 5*c. What is -5*f(h) + 3*l(h)?\nAnswer: 5561*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 692 - 4*f - 692 + 4*f**2. Let s(u) = 2*u. Determine s(w(n)).\nAnswer: 8*n**2 - 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/4)\/(s*s**9))**(2\/13) assuming s is positive.\nAnswer: s**(-37\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 15 = -5*g. Let q be (-6)\/2*(125\/5 + -26). Solve -2 = -q*n + 7, -g*l - 2*n = -18 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 112202220 (base 3) in base 7?\nAnswer: 43254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -130 - -128. Which is the closest to -2\/3? (a) g (b) 2 (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 833, 2931, 7085, 13997, 24369?\nAnswer: 38903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - w = 2*d + 2332, 0 = 2*d + 5*w - 1166. Calculate the remainder when d is divided by 117.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1100214215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (12\/240)\/(2\/325) and 4 - ((-292)\/(-88) - 2).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**3 - 47709*j**2 + 381624*j - 763216 = 0.\nAnswer: 4, 47701","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 6:22 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - u - 148 = -10*f, 0 = -2*f + 2*u + 64. What are the prime factors of f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 632163315 to the nearest integer?\nAnswer: 25143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a**2 - 4*a - 4. Let u be (14\/4)\/((-4)\/(-8)). Let m(v) be the first derivative of 2*v**3\/3 + v**2 + 2*v + 1544. Give u*m(h) + 3*j(h).\nAnswer: -h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -70.3 + 70. Which is the smallest value? (a) 3 (b) h (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-4)*t**12)\/((t\/(t\/t**(-1)*t))\/((t**8*t)\/t)))**(2\/23) assuming t is positive.\nAnswer: t**(36\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t - 1. Let p(c) = -c + 1. Let h(g) = -j(g) - 2*p(g). Give h(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 163\/393?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15529? (a) -0.3 (b) 1 (c) -1\/4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w**5 + 11554*w**4\/3 - 33650*w**3\/3 - 36534*w**2 - 72188*w\/3 - 7760\/3 = 0 for w.\nAnswer: -388, -1, -2\/15, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5738 + -5728. Sort 2, -0.3, a, 0.74.\nAnswer: -0.3, 0.74, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 3*f - 2 - 10*f)*(0 + 2*f - 1 + 3)*(-1 - 1 + 1).\nAnswer: 16*f**2 + 20*f + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 + 20596830*i.\nAnswer: 5*i*(i + 4119366)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w - 1. Let o(m) = m - 4. Let i be o(5). Suppose 0*l + i = l. Let a be c(l). Which is bigger: -4\/5 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/3 (b) 117 (c) 2 (d) -1032 (e) 0 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9492021*p**3 - 8682799*p**2?\nAnswer: 56952126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1273*g - 637*g + 69704 + 10516 = 0 for g.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus 2315?\nAnswer: 2314.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(272)*2*5.\nAnswer: 200*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12\/7 in -41\/4, 5\/6, -1\/3, 0.03, 3?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5127*l - 5150*l + 1173. Calculate the highest common factor of 147 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 2\/3*t**2 + 2*t - 2\/9*t**3 = 0. Calculate t.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 != -7\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand l - l - 2*l + 3*l**4 + (-39*l + 56*l**3 + 39*l)*(3*l - 2*l + 2*l).\nAnswer: 171*l**4 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20962 - -20991. What is the remainder when 172 is divided by u?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -247*n**6 + 113*n**2 + 320*n**6 + 711*n**6 + 1116*n**2 wrt n?\nAnswer: 94080*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -1523879*q. Let i(a) = 19*a. What is o(i(h))?\nAnswer: -28953701*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k + 227134. Let b be o(0). Suppose 0 = -5*g + 2*g + 2*m + b, 4*m - 227158 = -3*g. Let a = -7544286 - g. Round a to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in millimeters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6\/5 (b) -5\/3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -874531, -874523, -874515, -874507?\nAnswer: -874499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -9*t + 1. Let l(u) = 43*u - 31. Let m(s) = 30*s - 22. Let w(p) = -5*l(p) + 7*m(p). What is 6*g(c) - 11*w(c)?\nAnswer: c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 482.2 (b) 0.6 (c) -8\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*z + 1. Suppose 0 = -z*h + 4 + 5. Solve 3*p - 4*p - h*t = -7, -5*p + 19 = -t for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 6 + 2 + w - 2*w + 5*w. Let v = -8 - -2. Determine s(v).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8974 >= 8975?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.52203 rounded to zero decimal places?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19465\/34*32\/20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve u - 2*u = 54*x + 809, -5*u + 2682501*x = 2682498*x - 50 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6886155?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -49*b**2 + 9*b + 14. Let x(d) = -24*d**2 + 5*d + 8. Let i(t) = 4*o(t) - 7*x(t). Give i(-1).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*3*(((sqrt(4455)\/sqrt(5))**2 - sqrt(11)) + ((sqrt(88)\/(sqrt(8) + sqrt(8)*-5))**2 - sqrt(11))).\nAnswer: -18*sqrt(11) + 128403\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 - -34. Solve -p + 6*p - h = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 74 - 69. Let h(f) = -f**2 + 2*f - 6. Determine h(g).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2344 by 705.\nAnswer: 2344\/705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 861597 is divided by 1990.\nAnswer: 1917","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**2 + 5*h + 4. Let g(r) = r + 3*r - 3*r**2 + 3*r**3 - 5*r**3. What is the remainder when c(-5) is divided by g(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 11*h + 12. Let n = 25 - 14. Let x be m(n). Suppose -101*o = -99*o - 48. What is the greatest common factor of x and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19791676131 - -90.\nAnswer: -19791676041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.01 + -0.01. Let f = d - 1.7. Let k = -1.7 - f. Is k greater than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/14 - 9\/7. Suppose -4*t + 0*t = 12. Is t < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hehewrhkwh. Give prob of picking 2 h.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from exxaxxxxxaxxxxxxxaaa. What is prob of sequence ax?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 4*y**3\/5 - 57370*y**2 + 5142754368*y\/5 - 2571305472\/5 = 0.\nAnswer: 1\/2, 35856","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3\/3 - 220886620*u**2\/3 - 1016477097127444*u - 1016477023498572.\nAnswer: -4*(u + 1)*(u + 27610827)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 2*s - 18, -d = -494*s + 491*s + 1 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, t: 2, g: 5, m: 3}. What is prob of picking 1 m, 2 t, and 1 j?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 213 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 7 + -4 - 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of h**5\/20 + 13*h**4\/8 - 34*h**3 - 2*h**2 + 129*h. Factor t(m).\nAnswer: 3*(m - 4)*(m + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/8712 and -9\/64856?\nAnswer: 583704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 0 = -2. Let b(o) = -o + 3. Calculate the lowest common multiple of r and b(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 167*h**3 - 4*h**2 + 2*h - 4. Let q(p) = 32065*p**3 - 770*p**2 + 385*p - 770. What is 770*d(t) - 4*q(t)?\nAnswer: 330*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -2. Let r = -0.02 - k. Let s = -0.42 - r. Round s to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven eighths of a second?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 543*b - 1088*b + 507*b.\nAnswer: -38*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -308, -323, -338, -353, -368?\n\"Answer: -15*x - 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 + 82*n - 480. Give g(-46).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1196 and 14639408.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1885\/328748 - 7\/796. Let c = b + 34291\/826. Find the common denominator of 55\/3 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -115795 by 5.\nAnswer: -23159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 6*a**2 - 4*a - 2. Let v be l(5). Let p = 2 + 18. Calculate the lowest common multiple of ((-6)\/(-4))\/(v\/20) and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37 - -39. Suppose -4*g + 44 = y*i + 2*i, i - 29 = -4*g. Suppose 1383 + 5037 = g*l. What is l rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/2)\/((-3)\/4). Let s be -1*4\/(-12) + 0. Let t = 3 - 2.6. What is the closest to y in s, t, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*w = 2 - 14, -4*w = 2*t - 20. Solve 14 = -y + t*y + m, -y + 7 = -4*m for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 3*o + 2 = 0, -2*i + o + 3*o = -2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + -2 - -2 - -19. Let z be 169\/4 - 5\/y. List the prime factors of z - 2 - 30\/(-10).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80 (base 13) to base 8\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9950133 to the nearest integer?\nAnswer: 3154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 34191444 at least 170957216\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/(6840\/(-796))*8\/(-16) and 82\/135.\nAnswer: 5130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4576 and 4.\nAnswer: 4576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f - 2*f - 3*f)*(-11*f**2 - 8*f**2 + 6*f**2) + 39 - 18 - 38*f**3 - 21.\nAnswer: -51*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b**2 - 1381 - 1203 + 2584.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -280*s + 280*s + 6*s**2 + 7*s**2 + 2*s**2.\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i + 37. Determine v(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 16*f + 6. What is y(18)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/8)\/(1\/2). Let s = z - -6. Suppose -s*w + 19 = 4. Solve w*y + 3 = 6*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -5*b**3 - 2*b**2 + 2*b + 3. Let s be u(-1). Suppose -c = r - 6, -r = s*c - 0*c - 12. What are the prime factors of (16 + -12)*19\/r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000015594612 rounded to 6 decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (1483*w - 759*w - 901*w)*(-w + 2*w - 2*w)*(4 - 5 + 0) as n*w + p + m*w**2 and give m.\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((sqrt(162) - 1*sqrt(162) - sqrt(162))*2)\/(sqrt(216)*-1))**2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16088, -16099, -16110, -16121, -16132?\nAnswer: -16143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5434 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 - -25. What are the prime factors of a?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(45)\/sqrt(9) + sqrt(5))**2 - (-1*sqrt(5)*-4)**2)*-3.\nAnswer: 105 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 9 = -2*k, u = -2*k + 1270 - 1263 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p - 5, -5*i - 150*p + 151*p - 19 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.133+50.4\nAnswer: 50.533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, p: 2, s: 1, o: 1}. Give prob of sequence os.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q - 96859 + 96859.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 748974.33 seconds to days.\nAnswer: 8.668684375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 21\/2 of a millisecond?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -m + 728. Does 84 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56510 is divided by 25213.\nAnswer: 6084","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**2 + 5*r**2 + 2*r**2 - 13*r**2 + 118*r - 118*r + (-3 - 2*r + 3)*(0*r + r + r) + r + 5*r - 4*r**2 + 5*r**2 to the form h + z*r + q*r**2 and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (6\/8)\/((27\/(-24))\/9)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9664 - -9742. Calculate the remainder when 2885 is divided by c.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-3)*(-1 + -11). Let l = q - -2. Suppose -2*n = n - l. Solve n - 4 = c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -1759*s + 364858. Let q(x) = 2*x**2. Determine n(q(k)).\nAnswer: -3518*k**2 + 364858","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**2 - 4*t. Let w be -10*1\/1 - 3. Let b = 29 + w. Suppose -b + 4 = 3*a. Determine h(a).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 1:59 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -303363, -303384, -303417, -303468, -303543, -303648?\n\"Answer: -p**3 - 14*p - 303348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -101213 * 0.316\nAnswer: -31983.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 13 = 3. Let y(r) be the second derivative of -1\/60*r**a - r + 0 - 1\/6*r**3 + 1\/12*r**4 + 1\/6*r**2. Factor y(k).\nAnswer: -(k - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34580.85 millilitres in litres?\nAnswer: 34.58085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5816 and -81741.0544.\nAnswer: -87557.0544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a - 22 = 13 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 354 + -352. Suppose -d*h + 5*h + 2*n - 6 = 0, -5*h = -n - 10. Solve 0 = 2*c + 2*g - 4, c - g - h = 2*g for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0\/(h**(2\/3)\/h))**47\/(((h**(-2)*h*h)\/(((h\/(h*h*h*h**(2\/3)\/h*h))\/h*h*h)\/h))\/(h**(-1\/4)\/h**(2\/7))) assuming h is positive.\nAnswer: h**(349\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 4*h + 3. Let v be r(5). Let s be 1 - (-1 - -2) - v. Suppose -5*z + s*z + 51 = 0. What are the prime factors of z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60 - 103. Let z = 257 - q. What is z rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*v + 40242 = 349*v + 387*v + 548*v for v.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 (base 16) in base 14?\nAnswer: 49a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -22591197 divided by -4?\nAnswer: 22591197\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8514439?\nAnswer: 23, 370193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 116 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-9 - -8) - (11 - 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 - 100\/3. What is the smallest value in 3, m, 17\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14375 + 5381 - 12698 = 537*o - 5045 for o.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2\/7 - 10772*l\/7 - 64776\/7.\nAnswer: 4*(l - 2699)*(l + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 2*q + 124. Suppose 4*d = 3*d - q. Let b = 45 + d. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(126\/(-105))*3\/(-3). Solve -33*h + 29*h + q + 4 = 0, 0 = -i*h - 2*q + 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 3*o. Let f be a(-4). Let s(d) = d + 8. Calculate the remainder when 14 is divided by s(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 3:55 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -16530 (base 8) in base 16?\nAnswer: -1d58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 6608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.9 + 2. Let i = 33 + -59.4. Let v = 26 + i. Which is the closest to j? (a) v (b) 0 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 959095\/33 or 29064?\nAnswer: 959095\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1541, 1882, 2447, 3236, 4249, 5486?\nAnswer: 6947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36 + 12 - (-1 - 5)) + 10 - -55?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - d)*(-6 + 6 + d + (-6 + 2 + 3)*(-3*d + 0*d + 2*d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.7 - -25.3. Let c = 27.02 - a. What is the biggest value in 2\/3, c, -2\/7, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.41603769 to three decimal places.\nAnswer: 1.416","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -52.481347 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**2 + 113*o + 125. Does 49 divide h(44)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/((-1)\/((20\/8)\/5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8? (a) 19 (b) -13380.8 (c) -1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-30)\/8)\/(33\/(-44)). Let a = 1\/11 - -19\/33. Factor -2\/3*s**2 + 1\/3*s + a*s**4 + 0 - 1\/3*s**r + 0*s**3.\nAnswer: -s*(s - 1)**3*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 76 or -9148?\nAnswer: -9148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/1120 and 117\/1400?\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 2*g - 10 - 8, 16 = 4*r. Suppose -t = -3*t + 16. Which is the second biggest value? (a) -5 (b) t (c) g (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2556303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7353171, -14706364, -22059557, -29412750, -36765943?\nAnswer: -44119136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 2:06 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*v + 1 - 29 = 4*y + 15 + 7, 0 = -5*y - 2*v - 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**3 - 9*x**2 + 20*x - 9. Calculate g(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 93*m - 433. Let t(c) = 45*c - 216. Let y(v) = -4*h(v) + 9*t(v). Let x be y(7). Solve 0*a - a + 4*i = 1, -i + x = -4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -100?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 4:46 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/((t*t\/(t*t\/(t*t**2*t)))\/t)*t*t)\/(t**(13\/3)*t)*((t\/(t\/(t\/(t**(-11)\/t*t))*t))\/t)**23 assuming t is positive.\nAnswer: t**(677\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7 of a week in days?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/81 and 80\/99?\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 215 + -211. Differentiate -7*o + o**2 - 19*o + 68 - u*o - 44*o with respect to o.\nAnswer: 2*o - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2718 + 1249 + 1074)*(3 - 1 - 1)*(0 - 2*r + 0).\nAnswer: 790*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -530 + 280. Let z = 249.9798 + k. What is z rounded to three dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.18629 decades to months.\nAnswer: 8182.3548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.24 - 2.24. What is the biggest value in q, -1\/2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1018122.\nAnswer: 2, 3, 7, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -170 (base 13) in base 14?\nAnswer: -148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 870?\nAnswer: 6090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 136499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -110340 (base 5) in base 7?\nAnswer: -14132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, -3\/7, 1, -142\/9, -96, 3 in increasing order.\nAnswer: -96, -142\/9, -3\/7, -0.01, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -210 + 210.1. Let s = -18.8 + 0.8. Let v = 8 + s. What is the smallest value in -2\/7, j, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + -26)*1\/(-2). Let w be (-1 - 22\/6)*(-18)\/12. Let g = p - w. Calculate the remainder when 10 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 6*l - 8. Let w be y(7). Let c = 3 + w. Suppose -7 - 9 = -c*p. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -113 + 307. What is the remainder when d is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -2 + 5 + -4 + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30325752 a multiple of 586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1476, 1490, 1504, 1518?\nAnswer: 1532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-4*(1*(sqrt(2299) + -5*sqrt(2299)))**2.\nAnswer: -147136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 6 + 3*a - 2*a - 2 to the form l*a + x and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 139 in descending order.\nAnswer: 139, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6884.2833 + -203418849.2833. Let r = 203411872.999959 + g. Let d = -92 - r. Round d to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 5:51 AM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 96\/54 - (-2)\/9. Suppose -3*v + 12 = -o*v. Suppose f = 5*j + 21, 113*j - 114*j + 2*f - 6 = 0. Sort v, 5, j in ascending order.\nAnswer: j, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.4512 to 1 dp.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5346 rounded to the nearest one hundred?\nAnswer: 5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 248 + 192. Let s = -1145\/13 - o. Which is smaller: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 0.5\nAnswer: -0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2 - -9) + -2 - (-24 - -24)) + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 1:36 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + o + 654, 479 + 181 = 4*h + 2*o. Suppose 236 = 8*x - h. Calculate the remainder when 96 is divided by x.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 373530.5 nanometers?\nAnswer: 0.0003735305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -0.12.\nAnswer: -0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 0.1682?\nAnswer: -2.1682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 - 4*i**2 - 97 + 23)*(7*i + 3*i + 0*i).\nAnswer: -20*i**3 - 740*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1237125535.\nAnswer: 5, 247425107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z + 5. Let y(v) = 4*v + 6. Let g(h) = 6*x(h) - 5*y(h). Let w(m) be the second derivative of -m**4\/2 + 18*m. Determine w(g(o)).\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 6*o + 7. Let w(k) = 2*k**2 + 27*k - 6. Let g be w(-15). Let a be 2\/(-3) - g\/9. Determine z(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_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: Subtract 482.5 from -90.\nAnswer: -572.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/25*5 - 8881036\/(-20). Suppose h = v - 1865948. What is v rounded to the nearest 100000?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/2 and (0 - 2) + (-29)\/(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4666 is divided by 913?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2531, -13, 1, 0.5, -3, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 2*o**2 - 3*o - 3. Suppose -h - 4 = -1. Let i be s(h). Let w = i + -18. Which is the smallest value? (a) -4 (b) w (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22253 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -49.881 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + z + 2*z)*(5*z - 5*z + z + (-3*z + 2*z + 3*z)*(-3 + 1 + 0) - 3 + 3 - 4*z).\nAnswer: -14*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1266190 - -1266201. Let h(t) = -t. Let w be h(0). Let v = w - -4. Solve 0*c = -v*q + 5*c - d, 2*q - 14 = -4*c for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 4*v + 4. Let g be f(-5). Let b = 9 + -9. Do g and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000041887 rounded to 6 dps?\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}